File: abs-separate%40useless-runes.lsp

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acl2 8.6%2Bdfsg-2
links: PTS
area: main
in suites: trixie
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sloc: lisp: 17,818,294; java: 125,359; python: 28,122; javascript: 23,458; cpp: 18,851; ansic: 11,569; perl: 7,678; xml: 5,591; sh: 3,976; makefile: 3,833; ruby: 2,633; yacc: 1,126; ml: 763; awk: 295; csh: 233; lex: 197; php: 178; tcl: 49; asm: 23; haskell: 17
file content (36224 lines) | stat: -rw-r--r-- 1,806,865 bytes
parent folder | download | duplicates (2)
(PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2
 (1116 8 (:DEFINITION PREFIXP))
 (910 20 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (798 14 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (570 6 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (263 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (240 48 (:DEFINITION LEN))
 (152 152 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (137 22 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (96 48 (:REWRITE DEFAULT-+-2))
 (84 84 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (84 84 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (84 28 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (84 28 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (81 81 (:REWRITE DEFAULT-CDR))
 (69 57 (:LINEAR LEN-WHEN-PREFIXP))
 (60 20 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (56 56 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (48 48 (:REWRITE DEFAULT-+-1))
 (42 42 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (40 20 (:REWRITE DEFAULT-<-2))
 (40 20 (:REWRITE DEFAULT-<-1))
 (30 30 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (30 30 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (30 30 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (30 30 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (28 28 (:REWRITE DEFAULT-CAR))
 (28 28 (:LINEAR POSITION-WHEN-MEMBER))
 (28 28 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (26 26 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (26 26 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (6 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (6 6 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 )
(ABS-ASSOC)
(ABS-ASSOC-DEFINITION
 (390 130 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (37 37 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE DEFAULT-CDR))
 )
(ABS-PUT-ASSOC)
(ABS-PUT-ASSOC-DEFINITION
 (104 7 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (76 67 (:REWRITE DEFAULT-CAR))
 (51 17 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (44 35 (:REWRITE DEFAULT-CDR))
 (41 8 (:DEFINITION ASSOC-EQUAL))
 (17 17 (:TYPE-PRESCRIPTION ZP))
 (17 17 (:TYPE-PRESCRIPTION LEN))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 )
(ABS-REMOVE-ASSOC)
(ABS-REMOVE-ASSOC-DEFINITION
 (552 10 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (422 20 (:REWRITE SUBSETP-CAR-MEMBER))
 (382 84 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (346 10 (:DEFINITION MEMBER-EQUAL))
 (258 22 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (225 225 (:REWRITE DEFAULT-CAR))
 (148 148 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (147 25 (:DEFINITION ASSOC-EQUAL))
 (120 120 (:REWRITE DEFAULT-CDR))
 (70 70 (:TYPE-PRESCRIPTION ZP))
 (70 70 (:TYPE-PRESCRIPTION LEN))
 (50 50 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (40 20 (:REWRITE SET-EQUIV-ASYM))
 (23 23 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (23 23 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (23 23 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (22 22 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (22 22 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (22 22 (:REWRITE SUBSETP-TRANS2))
 (22 22 (:REWRITE SUBSETP-TRANS))
 (20 20 (:TYPE-PRESCRIPTION SET-EQUIV))
 (20 20 (:REWRITE SUBSETP-OF-CDR))
 (20 20 (:REWRITE SUBSETP-MEMBER . 2))
 (20 20 (:REWRITE SUBSETP-MEMBER . 1))
 (12 4 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 )
(ABS-FILE-ALIST-P
 (5498 1614 (:REWRITE DEFAULT-+-2))
 (2958 1614 (:REWRITE DEFAULT-+-1))
 (1540 140 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1536 40 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (1427 179 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1200 72 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (1059 42 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (993 992 (:REWRITE DEFAULT-CAR))
 (974 865 (:REWRITE DEFAULT-CDR))
 (880 220 (:DEFINITION INTEGER-ABS))
 (798 81 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (798 53 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (580 40 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (523 98 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (480 64 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (398 36 (:DEFINITION LEN))
 (384 24 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (376 21 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (352 32 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (270 35 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (248 233 (:REWRITE DEFAULT-<-1))
 (241 233 (:REWRITE DEFAULT-<-2))
 (240 32 (:REWRITE NONEMPTY-STRING-LISTP-OF-CDR-WHEN-NONEMPTY-STRING-LISTP))
 (234 234 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (220 220 (:REWRITE DEFAULT-UNARY-MINUS))
 (214 214 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (214 214 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (214 214 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (179 179 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (158 158 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (149 1 (:DEFINITION ABS-FILE-ALIST-P))
 (117 117 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (116 116 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (112 112 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (110 110 (:REWRITE DEFAULT-REALPART))
 (110 110 (:REWRITE DEFAULT-NUMERATOR))
 (110 110 (:REWRITE DEFAULT-IMAGPART))
 (110 110 (:REWRITE DEFAULT-DENOMINATOR))
 (110 72 (:REWRITE STR::CONSP-OF-EXPLODE))
 (108 108 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (85 22 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (78 78 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (78 78 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (78 52 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (72 72 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (60 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (58 58 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (56 56 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (52 52 (:LINEAR ACL2-COUNT-WHEN-MEMBER))
 (52 4 (:REWRITE ACL2-COUNT-WHEN-MEMBER))
 (42 42 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (32 4 (:DEFINITION MEMBER-EQUAL))
 (32 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (22 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (22 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (21 21 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (20 20 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (10 10 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ABS-FILE-ALIST-P-OF-CDR
 (16 13 (:REWRITE DEFAULT-CDR))
 (11 1 (:DEFINITION LEN))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (10 1 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (8 2 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (7 7 (:REWRITE DEFAULT-CAR))
 (7 1 (:DEFINITION ALISTP))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (6 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (5 3 (:REWRITE DEFAULT-<-1))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (4 1 (:DEFINITION STRIP-CARS))
 (3 3 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 2 (:REWRITE STR::CONSP-OF-EXPLODE))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P
 (689 580 (:REWRITE DEFAULT-CDR))
 (537 530 (:REWRITE DEFAULT-CAR))
 (392 110 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (374 34 (:DEFINITION LEN))
 (358 102 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (300 60 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (203 36 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (188 188 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (182 182 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (142 10 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (130 26 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (121 31 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (112 6 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (111 73 (:REWRITE DEFAULT-<-1))
 (102 102 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (102 68 (:REWRITE STR::CONSP-OF-EXPLODE))
 (94 94 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (88 88 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (81 81 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (73 73 (:REWRITE DEFAULT-<-2))
 (68 34 (:REWRITE DEFAULT-+-2))
 (52 52 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (52 52 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (50 5 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (48 12 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (34 34 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (34 34 (:REWRITE DEFAULT-+-1))
 (30 30 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (30 30 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (30 30 (:REWRITE SUBSETP-TRANS2))
 (30 30 (:REWRITE SUBSETP-TRANS))
 (30 5 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (18 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (5 5 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 )
(CDR-OF-ASSOC-OF-NIL-WHEN-ABS-FILE-ALIST-P
 (423 57 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (292 288 (:REWRITE DEFAULT-CAR))
 (252 20 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (205 52 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (176 16 (:DEFINITION LEN))
 (170 170 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (146 30 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (109 19 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (109 19 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (108 16 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (102 102 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (96 96 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (87 86 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (66 14 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (55 37 (:REWRITE DEFAULT-<-1))
 (51 51 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (50 5 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (48 48 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (48 32 (:REWRITE STR::CONSP-OF-EXPLODE))
 (37 37 (:REWRITE DEFAULT-<-2))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (34 34 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (32 16 (:REWRITE DEFAULT-+-2))
 (30 5 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (26 26 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (26 26 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (24 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (16 16 (:REWRITE DEFAULT-+-1))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11 11 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9 9 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (9 9 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (9 9 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (5 5 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 )
(ABS-FILE-CONTENTS-P)
(ABS-FILE-CONTENTS-FIX
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 )
(ABS-FILE-CONTENTS-P-CORRECTNESS-1
 (13 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (11 1 (:DEFINITION LEN))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 2 (:REWRITE DEFAULT-<-1))
 (4 1 (:REWRITE DEFAULT-CDR))
 (3 3 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (3 2 (:REWRITE STR::CONSP-OF-EXPLODE))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(ABS-FILE-CONTENTS-P-OF-ABS-FILE-CONTENTS-FIX
 (24 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (18 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 )
(ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P
 (19 19 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (18 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (12 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 )
(ABS-FILE-CONTENTS-P-WHEN-STRINGP
 (22 2 (:DEFINITION LEN))
 (15 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (10 5 (:REWRITE DEFAULT-<-1))
 (8 2 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 4 (:REWRITE STR::CONSP-OF-EXPLODE))
 (5 5 (:REWRITE DEFAULT-<-2))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4 2 (:REWRITE DEFAULT-+-2))
 (4 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 )
(ABS-FILE-ALIST-P-OF-ABS-FILE-CONTENTS-FIX
 (23 1 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (19 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (12 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (5 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (36 36 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (25 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 )
(ABS-FILE-CONTENTS-EQUIV$INLINE
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 )
(ABS-FILE-CONTENTS-EQUIV-IS-AN-EQUIVALENCE)
(ABS-FILE-CONTENTS-EQUIV-IMPLIES-EQUAL-ABS-FILE-CONTENTS-FIX-1)
(ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV)
(ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P
 (22 2 (:DEFINITION LEN))
 (16 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (11 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 5 (:REWRITE DEFAULT-<-1))
 (8 2 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 4 (:REWRITE STR::CONSP-OF-EXPLODE))
 (6 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (6 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (5 5 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(ABS-FILE-P
 (48 12 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (40 10 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (24 24 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (14 14 (:REWRITE DEFAULT-CAR))
 (12 12 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE CONSP-OF-STRIP-CARS))
 )
(CONSP-WHEN-ABS-FILE-P)
(ABS-FILE-FIX$INLINE
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (2 2 (:TYPE-PRESCRIPTION D-E-FIX))
 )
(ABS-FILE-P-OF-ABS-FILE-FIX
 (14 6 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (12 4 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 )
(ABS-FILE-FIX-WHEN-ABS-FILE-P
 (5 2 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (1 1 (:DEFINITION STRIP-CARS))
 (1 1 (:DEFINITION ALISTP))
 )
(ABS-FILE-FIX$INLINE
 (76 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (47 3 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (45 44 (:REWRITE DEFAULT-CAR))
 (45 10 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (43 42 (:REWRITE DEFAULT-CDR))
 (34 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (33 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (32 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (30 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-36))
 (22 13 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (20 20 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (18 6 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (18 6 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (18 4 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (18 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (15 3 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10 9 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (9 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (9 2 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (7 7 (:REWRITE FTY::EQUAL-OF-CONS-BY-EQUAL-OF-STRIP-CARS))
 (6 6 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (6 6 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (6 2 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (3 1 (:DEFINITION NATP))
 (2 2 (:REWRITE CONSP-OF-STRIP-CARS))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT)
(ABS-FILE-EQUIV$INLINE)
(ABS-FILE-EQUIV-IS-AN-EQUIVALENCE)
(ABS-FILE-EQUIV-IMPLIES-EQUAL-ABS-FILE-FIX-1)
(ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV)
(EQUAL-OF-ABS-FILE-FIX-1-FORWARD-TO-ABS-FILE-EQUIV)
(EQUAL-OF-ABS-FILE-FIX-2-FORWARD-TO-ABS-FILE-EQUIV)
(ABS-FILE-EQUIV-OF-ABS-FILE-FIX-1-FORWARD)
(ABS-FILE-EQUIV-OF-ABS-FILE-FIX-2-FORWARD)
(ABS-FILE->D-E$INLINE
 (4 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (2 2 (:TYPE-PRESCRIPTION D-E-FIX))
 (1 1 (:DEFINITION STRIP-CARS))
 )
(D-E-P-OF-ABS-FILE->D-E)
(ABS-FILE->D-E$INLINE-OF-ABS-FILE-FIX-X
 (9 3 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 )
(ABS-FILE->D-E$INLINE-ABS-FILE-EQUIV-CONGRUENCE-ON-X)
(ABS-FILE->CONTENTS$INLINE
 (11 11 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (4 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 )
(ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS)
(ABS-FILE->CONTENTS$INLINE-OF-ABS-FILE-FIX-X
 (69 46 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (23 23 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (9 3 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (3 1 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 )
(ABS-FILE->CONTENTS$INLINE-ABS-FILE-EQUIV-CONGRUENCE-ON-X)
(ABS-FILE)
(ABS-FILE-P-OF-ABS-FILE
 (8 4 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (6 2 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 )
(ABS-FILE->D-E-OF-ABS-FILE)
(ABS-FILE->CONTENTS-OF-ABS-FILE
 (81 63 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (18 18 (:TYPE-PRESCRIPTION ABS-FILE))
 )
(ABS-FILE-OF-FIELDS
 (3 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-P))
 )
(ABS-FILE-FIX-WHEN-ABS-FILE
 (3 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-P))
 )
(EQUAL-OF-ABS-FILE
 (1 1 (:REWRITE FTY::PROVE-EQUAL-OF-CONS-WHEN-FIRST-QUOTEP))
 (1 1 (:REWRITE FTY::EQUAL-OF-CONS-BY-EQUAL-OF-STRIP-CARS))
 )
(ABS-FILE-OF-D-E-FIX-D-E
 (4 2 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 )
(ABS-FILE-D-E-EQUIV-CONGRUENCE-ON-D-E)
(ABS-FILE-OF-ABS-FILE-CONTENTS-FIX-CONTENTS
 (4 2 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 )
(ABS-FILE-ABS-FILE-CONTENTS-EQUIV-CONGRUENCE-ON-CONTENTS)
(ABS-FILE-FIX-REDEF)
(ACL2-COUNT-OF-ABS-FILE->CONTENTS
 (530 188 (:REWRITE DEFAULT-+-2))
 (500 20 (:REWRITE LENGTH-WHEN-STRINGP))
 (452 44 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (338 188 (:REWRITE DEFAULT-+-1))
 (251 9 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (233 33 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (220 20 (:DEFINITION LEN))
 (196 24 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (195 14 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (170 9 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (168 42 (:DEFINITION INTEGER-ABS))
 (168 18 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (131 70 (:REWRITE DEFAULT-CDR))
 (130 130 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (100 10 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (84 84 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (84 84 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (84 9 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (72 6 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (60 60 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (60 40 (:REWRITE STR::CONSP-OF-EXPLODE))
 (60 10 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (60 10 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (57 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (56 56 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (54 10 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (52 44 (:REWRITE DEFAULT-<-2))
 (51 50 (:REWRITE DEFAULT-CAR))
 (48 44 (:REWRITE DEFAULT-<-1))
 (45 5 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (44 44 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (44 44 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (42 42 (:REWRITE DEFAULT-UNARY-MINUS))
 (40 40 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (40 20 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (39 3 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (38 38 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (38 38 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (38 38 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (33 33 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (30 5 (:REWRITE NONEMPTY-STRING-LISTP-OF-CDR-WHEN-NONEMPTY-STRING-LISTP))
 (28 28 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (28 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (26 4 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (22 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (21 21 (:REWRITE DEFAULT-REALPART))
 (21 21 (:REWRITE DEFAULT-NUMERATOR))
 (21 21 (:REWRITE DEFAULT-IMAGPART))
 (21 21 (:REWRITE DEFAULT-DENOMINATOR))
 (20 20 (:TYPE-PRESCRIPTION LEN))
 (20 20 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (20 20 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (18 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (16 16 (:LINEAR ACL2-COUNT-WHEN-MEMBER))
 (16 4 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (16 1 (:REWRITE ACL2-COUNT-WHEN-MEMBER))
 (14 14 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (14 14 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (14 8 (:LINEAR ACL2-COUNT-OF-CONSP-POSITIVE))
 (11 1 (:DEFINITION MEMBER-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (7 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:LINEAR ACL2-COUNT-CAR-CDR-LINEAR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 )
(ABS-FILE->CONTENTS-WHEN-M1-FILE-P
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-FIX))
 (24 24 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (16 15 (:REWRITE DEFAULT-CDR))
 (16 15 (:REWRITE DEFAULT-CAR))
 (16 4 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (14 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (11 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (8 1 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 )
(ABS-DIRECTORY-FILE-P)
(ABS-FILE-P-WHEN-M1-REGULAR-FILE-P)
(M1-REGULAR-FILE-P-OF-ABS-FILE
 (299 27 (:DEFINITION LEN))
 (231 3 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (189 49 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (184 82 (:REWRITE DEFAULT-CDR))
 (112 17 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (96 6 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (83 54 (:REWRITE STR::CONSP-OF-EXPLODE))
 (81 81 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (78 22 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (78 17 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (70 70 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (70 70 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (67 17 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (60 31 (:REWRITE DEFAULT-<-1))
 (60 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-36))
 (55 11 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (54 27 (:REWRITE DEFAULT-+-2))
 (51 44 (:REWRITE DEFAULT-CAR))
 (46 16 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (43 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (37 27 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (32 32 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (31 31 (:REWRITE DEFAULT-<-2))
 (30 30 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (28 28 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (28 28 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (27 27 (:REWRITE DEFAULT-+-1))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (21 5 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (17 17 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (17 17 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (16 2 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (14 14 (:LINEAR LEN-WHEN-PREFIXP))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (13 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (9 3 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER))
 (7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 2 (:DEFINITION NATP))
 (5 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3 3 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-P))
 )
(ABS-DIRECTORY-FILE-P-CORRECTNESS-1)
(ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P)
(ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS
 (85 2 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (69 4 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (49 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (42 8 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (24 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (22 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (21 5 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (21 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (21 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (21 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (18 18 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (18 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (18 4 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (12 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (12 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (12 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9 9 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:REWRITE DEFAULT-CDR))
 (6 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 5 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 )
(ABS-DIRECTORY-FILE-P-OF-ABS-FILE
 (170 1 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (152 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (150 1 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (71 3 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (47 1 (:DEFINITION UNSIGNED-BYTE-P))
 (46 1 (:DEFINITION INTEGER-RANGE-P))
 (44 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (40 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (38 2 (:REWRITE LENGTH-WHEN-STRINGP))
 (27 7 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (24 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (22 2 (:DEFINITION LEN))
 (19 4 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (18 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (17 5 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (12 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (9 9 (:TYPE-PRESCRIPTION LEN))
 (8 2 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6 6 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (6 6 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (6 4 (:REWRITE STR::CONSP-OF-EXPLODE))
 (6 2 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 1 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6 1 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (5 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (4 2 (:REWRITE DEFAULT-+-2))
 (4 2 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (4 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 2 (:DEFINITION NOT))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58
 (10 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (10 1 (:DEFINITION MEMBER-EQUAL))
 (6 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE MEMBER-WHEN-ATOM))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 )
(ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 )
(ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P
 (492 10 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (307 10 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (231 21 (:DEFINITION LEN))
 (180 116 (:REWRITE DEFAULT-CDR))
 (158 13 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (97 28 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (88 87 (:REWRITE DEFAULT-CAR))
 (71 23 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (64 5 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (63 63 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (63 42 (:REWRITE STR::CONSP-OF-EXPLODE))
 (52 52 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (48 15 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (46 46 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (42 21 (:REWRITE DEFAULT-+-2))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (36 18 (:REWRITE DEFAULT-<-1))
 (28 10 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (27 3 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (26 26 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (26 26 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (26 26 (:LINEAR LEN-WHEN-PREFIXP))
 (26 26 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (24 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (23 23 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (21 21 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (21 21 (:REWRITE DEFAULT-+-1))
 (18 18 (:REWRITE DEFAULT-<-2))
 (13 13 (:LINEAR POSITION-WHEN-MEMBER))
 (13 13 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (12 12 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (12 6 (:REWRITE SET-EQUIV-ASYM))
 (12 1 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (11 11 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (6 2 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (3 3 (:REWRITE SUBSETP-TRANS2))
 (3 3 (:REWRITE SUBSETP-TRANS))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 )
(ABS-FILE-P-ALT
 (296 8 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (221 2 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (203 1 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (201 1 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (181 8 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (176 16 (:DEFINITION LEN))
 (173 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (158 109 (:REWRITE DEFAULT-CDR))
 (140 36 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (121 19 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (113 9 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (113 6 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (109 10 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (91 14 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (85 84 (:REWRITE DEFAULT-CAR))
 (84 24 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (75 3 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (68 68 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (68 20 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (61 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (52 52 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (52 52 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (48 48 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (48 32 (:REWRITE STR::CONSP-OF-EXPLODE))
 (40 40 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (34 34 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (32 16 (:REWRITE DEFAULT-<-1))
 (32 16 (:REWRITE DEFAULT-+-2))
 (24 24 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (24 24 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (24 8 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (22 22 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (20 20 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (20 20 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (20 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (16 16 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (16 16 (:REWRITE DEFAULT-<-2))
 (16 16 (:REWRITE DEFAULT-+-1))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (9 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-P))
 (5 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 )
(ABS-ADDRS
 (1258 19 (:DEFINITION ACL2-COUNT))
 (349 115 (:REWRITE DEFAULT-+-2))
 (264 12 (:REWRITE LENGTH-WHEN-STRINGP))
 (209 115 (:REWRITE DEFAULT-+-1))
 (192 24 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (132 12 (:DEFINITION LEN))
 (120 24 (:REWRITE COMMUTATIVITY-OF-+))
 (96 24 (:DEFINITION INTEGER-ABS))
 (91 91 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (78 12 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (75 39 (:REWRITE DEFAULT-CDR))
 (66 3 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (52 7 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (48 48 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (48 48 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (48 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (42 3 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (36 36 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (36 24 (:REWRITE STR::CONSP-OF-EXPLODE))
 (36 6 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (36 6 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (36 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (33 33 (:REWRITE DEFAULT-CAR))
 (32 32 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE FOLD-CONSTS-IN-+))
 (32 30 (:REWRITE DEFAULT-<-2))
 (32 30 (:REWRITE DEFAULT-<-1))
 (30 3 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (24 24 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (24 24 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (24 24 (:REWRITE DEFAULT-UNARY-MINUS))
 (24 12 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (24 4 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (22 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (21 3 (:LINEAR ACL2-COUNT-OF-CONSP-POSITIVE))
 (20 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (20 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (18 3 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (18 1 (:REWRITE NFIX-WHEN-ZP))
 (17 2 (:DEFINITION NATP))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (16 16 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (16 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (16 1 (:REWRITE ZP-OPEN))
 (14 1 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (13 1 (:REWRITE ACL2-COUNT-WHEN-MEMBER))
 (12 12 (:TYPE-PRESCRIPTION LEN))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (12 12 (:REWRITE DEFAULT-REALPART))
 (12 12 (:REWRITE DEFAULT-NUMERATOR))
 (12 12 (:REWRITE DEFAULT-IMAGPART))
 (12 12 (:REWRITE DEFAULT-DENOMINATOR))
 (12 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (12 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (12 1 (:REWRITE NFIX-WHEN-NATP))
 (10 10 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (10 10 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (10 10 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 1 (:DEFINITION MEMBER-EQUAL))
 (6 6 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:LINEAR ACL2-COUNT-WHEN-MEMBER))
 (6 1 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (3 3 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 )
(ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2
 (472 130 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (251 17 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (238 20 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (232 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (228 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (210 43 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (151 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (131 130 (:REWRITE DEFAULT-CAR))
 (104 104 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (103 9 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (98 26 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (78 5 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (68 65 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (61 17 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (55 5 (:DEFINITION LEN))
 (50 43 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (50 43 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (48 48 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (43 43 (:REWRITE SUBSETP-TRANS2))
 (43 43 (:REWRITE SUBSETP-TRANS))
 (40 40 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (40 12 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (40 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (32 32 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (31 4 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (30 5 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (24 24 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (24 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (24 4 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (24 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (22 22 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (18 11 (:REWRITE DEFAULT-<-1))
 (16 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (15 15 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (15 10 (:REWRITE STR::CONSP-OF-EXPLODE))
 (14 14 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (14 14 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (12 12 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (12 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (11 11 (:REWRITE DEFAULT-<-2))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (10 5 (:REWRITE DEFAULT-+-2))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (5 5 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5 5 (:REWRITE DEFAULT-+-1))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (4 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (2 2 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-1
 (103 22 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (94 4 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (49 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (48 2 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (27 27 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (19 19 (:REWRITE DEFAULT-CAR))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (17 17 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (17 17 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (17 17 (:REWRITE DEFAULT-CDR))
 (14 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (9 9 (:TYPE-PRESCRIPTION M1-FILE-P))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8 2 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (7 7 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (7 1 (:DEFINITION ALISTP))
 (5 5 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (5 1 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (5 1 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 2 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4 2 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4 1 (:DEFINITION STRIP-CARS))
 (3 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3 1 (:DEFINITION ATOM))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 )
(ABS-ADDRS-WHEN-M1-FILE-ALIST-P
 (1797 59 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (325 80 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (276 10 (:REWRITE NFIX-WHEN-ZP))
 (274 37 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (256 10 (:REWRITE ZP-OPEN))
 (246 246 (:REWRITE DEFAULT-CAR))
 (236 32 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (173 173 (:REWRITE DEFAULT-CDR))
 (156 20 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (146 34 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (126 10 (:REWRITE NFIX-WHEN-NATP))
 (101 101 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (90 42 (:REWRITE DEFAULT-<-1))
 (80 80 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (79 79 (:REWRITE SUBSETP-TRANS2))
 (79 79 (:REWRITE SUBSETP-TRANS))
 (66 10 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (65 65 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (65 65 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (60 6 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (51 17 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (42 42 (:REWRITE DEFAULT-<-2))
 (42 12 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (40 10 (:DEFINITION NATP))
 (36 36 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (36 36 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (36 36 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (36 2 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (35 35 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (29 29 (:TYPE-PRESCRIPTION ATOM))
 (28 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (24 8 (:REWRITE APPEND-UNDER-IFF))
 (22 4 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (20 20 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (12 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 10 (:TYPE-PRESCRIPTION ZP))
 (10 10 (:TYPE-PRESCRIPTION NATP))
 (10 2 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (6 1 (:DEFINITION BINARY-APPEND))
 (5 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (4 4 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (3 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 )
(ABS-ADDRS-OF-TRUE-LIST-FIX
 (1053 59 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (994 50 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (969 27 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (771 30 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (686 73 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (540 30 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (525 30 (:REWRITE M1-FILE-ALIST-P-OF-LIST-FIX))
 (417 45 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (376 376 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (280 189 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (228 10 (:REWRITE NFIX-WHEN-ZP))
 (210 60 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (210 30 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (208 10 (:REWRITE ZP-OPEN))
 (202 202 (:TYPE-PRESCRIPTION M1-FILE-P))
 (198 198 (:REWRITE DEFAULT-CDR))
 (193 27 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (180 60 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (177 33 (:DEFINITION LEN))
 (176 176 (:REWRITE DEFAULT-CAR))
 (168 30 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (156 156 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (131 27 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (131 27 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (123 10 (:REWRITE NFIX-WHEN-NATP))
 (120 120 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (120 60 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (110 20 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (104 104 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (104 52 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (100 10 (:DEFINITION BINARY-APPEND))
 (96 13 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (81 27 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (81 27 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (79 27 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (72 36 (:REWRITE DEFAULT-+-2))
 (72 24 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (66 26 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (63 10 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (60 60 (:TYPE-PRESCRIPTION STRING-LISTP))
 (60 60 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (60 60 (:TYPE-PRESCRIPTION D-E-P))
 (60 60 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (60 60 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (60 30 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (54 54 (:LINEAR LEN-WHEN-PREFIXP))
 (54 54 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (52 52 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (50 50 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (50 50 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (40 40 (:REWRITE DEFAULT-<-2))
 (40 40 (:REWRITE DEFAULT-<-1))
 (40 10 (:DEFINITION NATP))
 (36 36 (:REWRITE DEFAULT-+-1))
 (30 30 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (30 30 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (30 30 (:REWRITE SET::IN-SET))
 (30 3 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (27 27 (:LINEAR POSITION-WHEN-MEMBER))
 (27 27 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (26 26 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (26 26 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (26 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (26 26 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (21 6 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (13 13 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION ATOM))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION ZP))
 (10 10 (:TYPE-PRESCRIPTION NATP))
 )
(MEMBER-OF-ABS-ADDRS-WHEN-NATP
 (2946 58 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2754 13 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (2238 9 (:DEFINITION ABS-FILE-ALIST-P))
 (1405 36 (:REWRITE SUBSETP-MEMBER . 3))
 (977 506 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (738 99 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (619 31 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (618 45 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (493 190 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (487 190 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (405 42 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (286 286 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (266 239 (:REWRITE DEFAULT-CDR))
 (231 231 (:REWRITE DEFAULT-CAR))
 (218 66 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (206 206 (:REWRITE SUBSETP-TRANS2))
 (206 206 (:REWRITE SUBSETP-TRANS))
 (184 184 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (175 175 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (171 9 (:REWRITE LENGTH-WHEN-STRINGP))
 (168 40 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (163 163 (:TYPE-PRESCRIPTION M1-FILE-P))
 (143 143 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (140 19 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (126 18 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (103 103 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (99 9 (:DEFINITION LEN))
 (90 18 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (90 9 (:DEFINITION UNSIGNED-BYTE-P))
 (81 9 (:DEFINITION INTEGER-RANGE-P))
 (78 13 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (72 72 (:TYPE-PRESCRIPTION LEN))
 (72 18 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (72 12 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (72 12 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (67 49 (:REWRITE DEFAULT-<-1))
 (65 13 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (65 13 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (63 9 (:DEFINITION ALISTP))
 (62 5 (:REWRITE NFIX-WHEN-ZP))
 (54 54 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (54 9 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (53 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (52 52 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (52 26 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (50 5 (:REWRITE ZP-OPEN))
 (50 4 (:DEFINITION BINARY-APPEND))
 (49 49 (:REWRITE DEFAULT-<-2))
 (45 45 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (45 45 (:REWRITE SUBSETP-MEMBER . 2))
 (45 9 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (39 13 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (36 36 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (36 36 (:REWRITE SUBSETP-MEMBER . 4))
 (36 36 (:REWRITE INTERSECTP-MEMBER . 3))
 (36 36 (:REWRITE INTERSECTP-MEMBER . 2))
 (36 9 (:DEFINITION STRIP-CARS))
 (27 27 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (27 18 (:REWRITE STR::CONSP-OF-EXPLODE))
 (26 26 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (26 8 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (24 24 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (24 24 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (18 18 (:TYPE-PRESCRIPTION STRIP-CARS))
 (18 18 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (18 18 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (18 18 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (18 9 (:REWRITE DEFAULT-+-2))
 (18 9 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (12 12 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (9 9 (:TYPE-PRESCRIPTION D-E-P))
 (9 9 (:TYPE-PRESCRIPTION ALISTP))
 (9 9 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (9 9 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (9 9 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (9 9 (:REWRITE DEFAULT-+-1))
 (7 7 (:TYPE-PRESCRIPTION ZP))
 (7 7 (:TYPE-PRESCRIPTION ATOM))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE SUBSETP-NIL))
 (1 1 (:REWRITE SET-EQUIV-OF-NIL))
 )
(ABS-ADDRS-OF-REMOVE
 (66247 343 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (37004 1538 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (29785 2272 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (15783 495 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12335 597 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (10719 242 (:REWRITE ZP-OPEN))
 (10631 745 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (10606 1904 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (8690 567 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (8623 495 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (8566 8566 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (8186 495 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (6827 353 (:REWRITE SUBSETP-MEMBER . 1))
 (6662 509 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (6201 326 (:REWRITE SUBSETP-MEMBER . 3))
 (4772 4283 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4032 4032 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (3959 3884 (:REWRITE DEFAULT-CDR))
 (3428 980 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3328 221 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (3189 495 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3189 495 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2898 283 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2710 249 (:DEFINITION BINARY-APPEND))
 (2559 2559 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2409 2326 (:REWRITE DEFAULT-CAR))
 (2080 442 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (2018 1229 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1994 1229 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1960 1960 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1719 498 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1533 89 (:REWRITE SUBSETP-CAR-MEMBER))
 (1475 495 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1280 147 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (1240 1240 (:REWRITE SUBSETP-TRANS2))
 (1240 1240 (:REWRITE SUBSETP-TRANS))
 (1024 1000 (:REWRITE DEFAULT-<-1))
 (1013 1013 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1013 1013 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1013 1013 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1000 1000 (:REWRITE DEFAULT-<-2))
 (980 980 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (896 5 (:REWRITE MEMBER-OF-CONS))
 (654 654 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (654 654 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (509 509 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (501 153 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (496 248 (:REWRITE SET-EQUIV-ASYM))
 (477 315 (:REWRITE MEMBER-WHEN-ATOM))
 (440 44 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (424 11 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (363 8 (:REWRITE SUBSETP-OF-CONS))
 (353 353 (:REWRITE SUBSETP-MEMBER . 2))
 (326 326 (:REWRITE SUBSETP-MEMBER . 4))
 (326 326 (:REWRITE INTERSECTP-MEMBER . 2))
 (283 283 (:TYPE-PRESCRIPTION NATP))
 (254 254 (:REWRITE SUBSETP-OF-CDR))
 (251 251 (:TYPE-PRESCRIPTION ZP))
 (248 248 (:TYPE-PRESCRIPTION SET-EQUIV))
 (246 246 (:TYPE-PRESCRIPTION ATOM))
 (164 4 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (153 153 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (134 4 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (118 10 (:REWRITE SUBSETP-CONS-2))
 (80 80 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (77 11 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (50 2 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (27 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (18 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (18 3 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (18 1 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (14 1 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (11 11 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (11 2 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (9 9 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (7 7 (:TYPE-PRESCRIPTION LEN))
 (7 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (7 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (5 1 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (5 1 (:DEFINITION LEN))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 2 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (3 3 (:REWRITE SUBSETP-REFL))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ABS-ADDRS-OF-APPEND
 (6063 134 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3841 1119 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3781 41 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (3384 91 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1593 732 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1318 36 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (1310 73 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1108 1108 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1022 408 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (974 96 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (967 41 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (670 41 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (503 305 (:REWRITE DEFAULT-CDR))
 (492 82 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (472 3 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (376 41 (:REWRITE M1-FILE-ALIST-P-OF-LIST-FIX))
 (361 361 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (347 326 (:REWRITE DEFAULT-CAR))
 (342 24 (:REWRITE NFIX-WHEN-ZP))
 (320 320 (:TYPE-PRESCRIPTION M1-FILE-P))
 (294 24 (:REWRITE ZP-OPEN))
 (263 41 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (259 259 (:TYPE-PRESCRIPTION LEN))
 (259 74 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (258 54 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (258 54 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (225 24 (:REWRITE NFIX-WHEN-NATP))
 (222 74 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (205 205 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (205 82 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (205 82 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (204 204 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (204 102 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (201 36 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (198 198 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (190 46 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (185 37 (:DEFINITION LEN))
 (156 54 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (148 74 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (119 119 (:REWRITE CONSP-OF-LIST-FIX))
 (111 37 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (111 37 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (108 36 (:REWRITE CAR-OF-APPEND))
 (102 102 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (97 97 (:REWRITE DEFAULT-<-2))
 (97 97 (:REWRITE DEFAULT-<-1))
 (96 16 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (90 30 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (90 15 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (87 24 (:DEFINITION NATP))
 (82 82 (:REWRITE SUBSETP-TRANS2))
 (82 82 (:REWRITE SUBSETP-TRANS))
 (75 25 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (74 74 (:TYPE-PRESCRIPTION STRING-LISTP))
 (74 74 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (74 74 (:TYPE-PRESCRIPTION D-E-P))
 (74 74 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (74 74 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (74 74 (:LINEAR LEN-WHEN-PREFIXP))
 (74 74 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (74 37 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (74 37 (:REWRITE DEFAULT-+-2))
 (73 73 (:REWRITE CONSP-OF-APPEND))
 (67 67 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (67 67 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (60 6 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (41 41 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (37 37 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (37 37 (:REWRITE SET::IN-SET))
 (37 37 (:REWRITE DEFAULT-+-1))
 (37 37 (:LINEAR POSITION-WHEN-MEMBER))
 (37 37 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (31 31 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (31 31 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (31 31 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (30 30 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (27 27 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (24 24 (:TYPE-PRESCRIPTION ZP))
 (24 24 (:TYPE-PRESCRIPTION NATP))
 (19 19 (:TYPE-PRESCRIPTION ATOM))
 (16 16 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (16 16 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3
 (26338 130 (:DEFINITION SUBSETP-EQUAL))
 (22753 938 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (15583 330 (:REWRITE SUBSETP-CAR-MEMBER))
 (13493 1274 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (12353 133 (:DEFINITION MEMBER-EQUAL))
 (11544 993 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (11469 3 (:REWRITE SUBSETP-OF-CONS))
 (10439 252 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (8628 871 (:REWRITE SUBSETP-TRANS))
 (6767 3506 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4897 358 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (4460 4460 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4312 283 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4158 3 (:REWRITE SUBSETP-APPEND1))
 (4007 4004 (:REWRITE DEFAULT-CAR))
 (3860 122 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (3667 330 (:REWRITE SUBSETP-MEMBER . 2))
 (3447 1149 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3251 854 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2769 338 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2601 263 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2543 850 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2244 2231 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2090 190 (:DEFINITION LEN))
 (1724 43 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1702 108 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1622 350 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1417 358 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (1334 2 (:REWRITE MEMBER-OF-BINARY-APPEND))
 (1286 1286 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1124 47 (:REWRITE NFIX-WHEN-ZP))
 (1106 165 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1102 755 (:REWRITE DEFAULT-<-1))
 (1080 108 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (1080 54 (:DEFINITION BINARY-APPEND))
 (1030 47 (:REWRITE ZP-OPEN))
 (990 165 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (966 966 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (920 184 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (828 72 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (783 783 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (755 755 (:REWRITE DEFAULT-<-2))
 (744 160 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (706 706 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (673 673 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (673 673 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (673 673 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (612 144 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (570 570 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (570 380 (:REWRITE STR::CONSP-OF-EXPLODE))
 (546 78 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (525 25 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (525 25 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (472 8 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (416 51 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (397 19 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (380 190 (:REWRITE DEFAULT-+-2))
 (375 50 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (375 50 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (353 353 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (352 352 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (350 1 (:REWRITE MEMBER-OF-CONS))
 (338 338 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (331 329 (:REWRITE SUBSETP-MEMBER . 1))
 (330 330 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (292 292 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (292 292 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (274 40 (:REWRITE MEMBER-WHEN-ATOM))
 (255 51 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (255 51 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (225 41 (:REWRITE SUBSETP-MEMBER . 3))
 (223 16 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (198 198 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (198 198 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (190 190 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (190 190 (:REWRITE DEFAULT-+-1))
 (184 46 (:DEFINITION NFIX))
 (165 165 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (153 51 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (150 150 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (150 150 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (145 145 (:TYPE-PRESCRIPTION NATP))
 (126 126 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (96 6 (:REWRITE CONSP-OF-APPEND))
 (78 78 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (76 76 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (75 75 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (75 75 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (52 26 (:REWRITE SET-EQUIV-ASYM))
 (48 20 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (41 41 (:REWRITE SUBSETP-MEMBER . 4))
 (41 41 (:REWRITE INTERSECTP-MEMBER . 3))
 (41 41 (:REWRITE INTERSECTP-MEMBER . 2))
 (38 38 (:LINEAR LEN-WHEN-PREFIXP))
 (38 38 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (30 10 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (26 26 (:TYPE-PRESCRIPTION SET-EQUIV))
 (24 8 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (22 22 (:REWRITE SUBSETP-OF-CDR))
 (19 19 (:LINEAR POSITION-WHEN-MEMBER))
 (19 19 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (18 6 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (15 2 (:REWRITE SET-EQUIV-OF-NIL))
 )
(ABS-COMPLETE
 (12 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(ABS-COMPLETE-WHEN-STRINGP
 (15 13 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 )
(ABS-COMPLETE-CORRECTNESS-1
 (8 4 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 )
(ABS-FILE-ALIST-P-CORRECTNESS-1
 (639605 99254 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (631645 45121 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (603873 11848 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (149940 166 (:DEFINITION M1-FILE-CONTENTS-P))
 (135592 3564 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (98816 98816 (:REWRITE SUBSETP-TRANS2))
 (98816 98816 (:REWRITE SUBSETP-TRANS))
 (98771 98621 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (98771 98621 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (87941 351 (:DEFINITION M1-FILE-P))
 (67834 55970 (:REWRITE DEFAULT-CDR))
 (65959 9 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (48849 48676 (:REWRITE DEFAULT-CAR))
 (43494 3954 (:DEFINITION LEN))
 (34755 7283 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (30843 7926 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (21338 3564 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (20864 20864 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (17975 454 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (15833 15662 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (15629 3329 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (15278 15278 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (14828 7567 (:REWRITE DEFAULT-<-1))
 (11862 11862 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (11862 7908 (:REWRITE STR::CONSP-OF-EXPLODE))
 (10886 360 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (7922 7922 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (7908 3954 (:REWRITE DEFAULT-+-2))
 (7639 7639 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (7567 7567 (:REWRITE DEFAULT-<-2))
 (7126 622 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (7100 7100 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6150 6150 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (6150 6150 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (5406 286 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (3954 3954 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3954 3954 (:REWRITE DEFAULT-+-1))
 (3550 3550 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3382 269 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2810 432 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2637 105 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (2637 105 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (2488 2488 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2472 162 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (2336 2336 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2007 210 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (2007 210 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (1986 324 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (1866 622 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1866 622 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1302 174 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1244 1244 (:LINEAR LEN-WHEN-PREFIXP))
 (1244 1244 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (951 351 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (863 863 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (863 863 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (863 863 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (651 351 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (636 636 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (630 630 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (630 630 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (622 622 (:LINEAR POSITION-WHEN-MEMBER))
 (622 622 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (438 219 (:REWRITE SET-EQUIV-ASYM))
 (432 432 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (322 322 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (320 10 (:REWRITE NFIX-WHEN-ZP))
 (315 315 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (315 315 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (300 10 (:REWRITE ZP-OPEN))
 (258 36 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (235 42 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (219 219 (:TYPE-PRESCRIPTION SET-EQUIV))
 (219 219 (:REWRITE SUBSETP-OF-CDR))
 (204 18 (:DEFINITION BINARY-APPEND))
 (91 9 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (48 8 (:DEFINITION NFIX))
 (42 14 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (16 16 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (10 10 (:TYPE-PRESCRIPTION ZP))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 )
(SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1
 (5 5 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC
 (19653 1345 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (19603 239 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (15484 652 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (15319 178 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (12141 581 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (11226 538 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (8925 1565 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8570 239 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (5097 216 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (4988 2354 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4798 4000 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4216 166 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (4034 4034 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (3130 3130 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2567 2214 (:REWRITE DEFAULT-CAR))
 (2496 2018 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2354 2354 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2172 489 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2151 489 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2010 85 (:REWRITE ZP-OPEN))
 (1947 56 (:DEFINITION MEMBER-EQUAL))
 (1892 70 (:REWRITE SUBSETP-CAR-MEMBER))
 (1881 1794 (:REWRITE DEFAULT-CDR))
 (1849 17 (:REWRITE SUBSETP-OF-CONS))
 (1817 764 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1754 88 (:DEFINITION BINARY-APPEND))
 (1745 11 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (1656 256 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1608 178 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1565 1565 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1540 176 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (1534 1534 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1464 24 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1443 481 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1350 279 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1253 489 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1224 292 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1147 279 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (986 164 (:DEFINITION ASSOC-EQUAL))
 (950 58 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (944 115 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (860 324 (:REWRITE SUBSETP-TRANS))
 (764 764 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (715 143 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (715 143 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (633 84 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (604 115 (:REWRITE SUBSETP-MEMBER . 2))
 (572 572 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (566 566 (:TYPE-PRESCRIPTION ZP))
 (481 481 (:TYPE-PRESCRIPTION LEN))
 (390 342 (:REWRITE DEFAULT-<-1))
 (388 84 (:DEFINITION NATP))
 (342 342 (:REWRITE DEFAULT-<-2))
 (341 19 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (302 302 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (296 296 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (292 292 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (286 286 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (286 286 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (276 224 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (250 25 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (224 224 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (224 224 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (182 182 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (175 50 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (161 1 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-RIGHT))
 (160 80 (:REWRITE SET-EQUIV-ASYM))
 (157 157 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (141 115 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (115 115 (:REWRITE SUBSETP-MEMBER . 1))
 (91 91 (:TYPE-PRESCRIPTION ATOM))
 (84 84 (:TYPE-PRESCRIPTION NATP))
 (68 6 (:REWRITE MEMBER-OF-PUT-ASSOC))
 (56 4 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (40 40 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (37 37 (:REWRITE SUBSETP-OF-CDR))
 (36 2 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (35 2 (:REWRITE CONSP-OF-APPEND))
 (32 32 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (32 32 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (32 32 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (32 32 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (32 4 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (28 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (24 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (22 4 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (15 3 (:REWRITE MEMBER-OF-CONS))
 (12 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 2 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (7 1 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-LEFT))
 (4 4 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (4 4 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 )
(NO-DUPLICATESP-OF-ABS-ADDRS-OF-PUT-ASSOC
 (26004 1696 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (24324 145 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (23824 344 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (20951 865 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (20431 805 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (19926 228 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (16899 823 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (16794 107 (:DEFINITION MEMBER-EQUAL))
 (13948 2351 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (12300 344 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (6977 5960 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6062 495 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (6048 243 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (5824 5824 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4566 186 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (4464 246 (:DEFINITION NATP))
 (4055 4055 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3595 2913 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3580 123 (:REWRITE ZP-OPEN))
 (3474 291 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (3233 2811 (:REWRITE DEFAULT-CAR))
 (3213 183 (:REWRITE SUBSETP-CAR-MEMBER))
 (3054 664 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3033 664 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2831 606 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2695 1032 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2675 246 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2654 2517 (:REWRITE DEFAULT-CDR))
 (2351 2351 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2272 126 (:DEFINITION BINARY-APPEND))
 (2158 228 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2070 2070 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2024 198 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (1745 11 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (1696 664 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1623 541 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1519 368 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1464 24 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1444 115 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1259 43 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (1118 186 (:DEFINITION ASSOC-EQUAL))
 (1032 1032 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (965 193 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (965 193 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (733 733 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (667 619 (:REWRITE DEFAULT-<-1))
 (664 664 (:TYPE-PRESCRIPTION ZP))
 (635 575 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (619 619 (:REWRITE DEFAULT-<-2))
 (575 575 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (575 575 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (551 76 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (541 541 (:TYPE-PRESCRIPTION LEN))
 (473 38 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (402 402 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (396 396 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (386 386 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (386 386 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (324 162 (:REWRITE SET-EQUIV-ASYM))
 (321 291 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (294 185 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (294 185 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (246 246 (:TYPE-PRESCRIPTION NATP))
 (246 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (233 5 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (223 142 (:REWRITE MEMBER-WHEN-ATOM))
 (214 214 (:REWRITE SUBSETP-MEMBER . 2))
 (214 214 (:REWRITE SUBSETP-MEMBER . 1))
 (212 212 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (185 185 (:REWRITE SUBSETP-TRANS2))
 (185 185 (:REWRITE SUBSETP-TRANS))
 (175 175 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (162 162 (:TYPE-PRESCRIPTION SET-EQUIV))
 (162 162 (:REWRITE SUBSETP-OF-CDR))
 (145 145 (:REWRITE SUBSETP-MEMBER . 4))
 (145 145 (:REWRITE INTERSECTP-MEMBER . 3))
 (145 145 (:REWRITE INTERSECTP-MEMBER . 2))
 (130 130 (:TYPE-PRESCRIPTION ATOM))
 (65 3 (:REWRITE MEMBER-OF-PUT-ASSOC))
 (56 56 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (56 4 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (36 2 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (28 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (24 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (22 4 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (12 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 2 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 )
(ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P
 (23 3 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (14 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (11 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (11 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (11 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (11 1 (:DEFINITION LEN))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6 3 (:REWRITE DEFAULT-<-1))
 (6 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 1 (:REWRITE DEFAULT-CDR))
 (3 3 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 2 (:REWRITE STR::CONSP-OF-EXPLODE))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL
 (325776 12279 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (280631 8586 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (146566 2865 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (105104 7583 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (58203 50 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (54969 840 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (36648 324 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (33986 881 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (28289 23456 (:REWRITE DEFAULT-CDR))
 (27780 864 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (27618 1469 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (20392 1686 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (20199 19752 (:REWRITE DEFAULT-CAR))
 (18850 250 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (17740 834 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (17070 17070 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (15600 500 (:REWRITE SUBSETP-CAR-MEMBER))
 (15017 3473 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (14696 1334 (:DEFINITION LEN))
 (14640 108 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (14620 863 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (13600 2400 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (12889 3239 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (12690 144 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (12279 12279 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12276 90 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (11425 250 (:DEFINITION MEMBER-EQUAL))
 (10685 8536 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (9925 700 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (9744 198 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (8893 1469 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (8882 8882 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8784 324 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (8513 852 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8483 2139 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (8480 852 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (8468 1197 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (8149 941 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7921 2641 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6427 6427 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (5620 3416 (:REWRITE DEFAULT-<-1))
 (5478 904 (:DEFINITION ASSOC-EQUAL))
 (5400 2898 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5250 288 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5100 5100 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4805 81 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (4716 72 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (4024 2668 (:REWRITE STR::CONSP-OF-EXPLODE))
 (4002 4002 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (3752 334 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (3416 3416 (:REWRITE DEFAULT-<-2))
 (3327 209 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (3327 209 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (3216 3214 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (3172 3172 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (3172 3172 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (3108 3108 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2898 2898 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2880 90 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (2859 2383 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2812 2812 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2750 668 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (2668 1334 (:REWRITE DEFAULT-+-2))
 (2640 2640 (:TYPE-PRESCRIPTION ZP))
 (2383 2383 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2383 2383 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2073 300 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (2073 300 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (1990 1990 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1976 1976 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1810 834 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1500 1500 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1500 1500 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1500 1500 (:REWRITE SUBSETP-TRANS2))
 (1500 1500 (:REWRITE SUBSETP-TRANS))
 (1463 368 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1444 1334 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1435 1197 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1406 1406 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1334 1334 (:REWRITE DEFAULT-+-1))
 (1316 368 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1250 1250 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1133 1133 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1095 474 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1018 1018 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1018 1018 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (990 990 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (886 886 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (882 882 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (856 856 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (842 368 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (600 300 (:REWRITE SET-EQUIV-ASYM))
 (509 509 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (509 509 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (500 500 (:REWRITE SUBSETP-MEMBER . 2))
 (500 500 (:REWRITE SUBSETP-MEMBER . 1))
 (474 474 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (414 144 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (324 324 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (324 324 (:TYPE-PRESCRIPTION ATOM))
 (300 300 (:TYPE-PRESCRIPTION SET-EQUIV))
 (300 300 (:REWRITE SUBSETP-OF-CDR))
 (243 81 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (243 81 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (162 162 (:LINEAR LEN-WHEN-PREFIXP))
 (162 162 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (120 15 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-36))
 (82 82 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (81 81 (:LINEAR POSITION-WHEN-MEMBER))
 (81 81 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (60 60 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (45 15 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (30 30 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (9 2 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 )
(ABS-FILE-ALIST-P-OF-APPEND
 (161718 4889 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (143626 3663 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (47527 18 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (37406 126 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (36433 1138 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (33696 365 (:REWRITE M1-FILE-ALIST-P-OF-LIST-FIX))
 (30909 622 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (27111 254 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (26178 398 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (23927 252 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (13446 538 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (12027 288 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10241 8277 (:REWRITE DEFAULT-CDR))
 (10204 90 (:REWRITE ABS-ADDRS-OF-TRUE-LIST-FIX))
 (10078 7038 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (9004 538 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (8670 154 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (8179 478 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (7953 252 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (7410 946 (:DEFINITION LEN))
 (6557 20 (:REWRITE ABS-ADDRS-OF-APPEND))
 (5982 1326 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5810 2855 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (5712 5600 (:REWRITE DEFAULT-CAR))
 (5589 20 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (5544 317 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (5513 224 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5272 3645 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5129 40 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (4975 198 (:REWRITE CONSP-OF-APPEND))
 (4889 4889 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4827 4827 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4693 1173 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (4037 112 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3780 405 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3646 842 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (3526 538 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (3486 996 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (3372 527 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (3332 3332 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3226 317 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (3012 502 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2992 2992 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2988 996 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (2855 2855 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (2754 1390 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2345 2345 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (2315 70 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2164 210 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (2106 1232 (:REWRITE DEFAULT-<-1))
 (2105 70 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1992 996 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (1956 1956 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1900 950 (:REWRITE DEFAULT-+-2))
 (1712 296 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1534 420 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (1503 501 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1503 501 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1482 494 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1402 1402 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1402 1402 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1390 1390 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1344 322 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1344 322 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1332 1332 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (1332 888 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1232 1232 (:REWRITE DEFAULT-<-2))
 (1175 1173 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (1106 1106 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1092 476 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1054 1054 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1054 1054 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1054 1054 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1004 1004 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1002 1002 (:LINEAR LEN-WHEN-PREFIXP))
 (1002 1002 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (996 996 (:TYPE-PRESCRIPTION STRING-LISTP))
 (996 996 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (996 996 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (996 498 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (985 254 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (952 952 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (950 950 (:REWRITE DEFAULT-+-1))
 (810 810 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (803 803 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (798 322 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (736 736 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (704 296 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (704 296 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (686 686 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (538 538 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (527 527 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (502 502 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (501 501 (:LINEAR POSITION-WHEN-MEMBER))
 (501 501 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (498 498 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (498 498 (:REWRITE SET::IN-SET))
 (480 40 (:REWRITE STRINGP-OF-APPEND))
 (476 476 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (444 444 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (378 18 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (378 18 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (350 350 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (322 112 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (320 54 (:DEFINITION ATOM))
 (296 296 (:REWRITE SUBSETP-TRANS2))
 (296 296 (:REWRITE SUBSETP-TRANS))
 (270 36 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (270 36 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (252 252 (:TYPE-PRESCRIPTION ATOM))
 (223 7 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (140 140 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (108 108 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (108 108 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (72 72 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (72 24 (:REWRITE CAR-OF-APPEND))
 (64 8 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (56 14 (:REWRITE CONS-EQUAL))
 (54 54 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (54 54 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 )
(ABS-FILE-ALIST-P-OF-REMOVE-EQUAL
 (34256 1250 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (27998 969 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (14639 271 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (9522 691 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (8304 147 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (6603 4 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (4887 54 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (2966 255 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2877 160 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (2804 2370 (:REWRITE DEFAULT-CDR))
 (2576 140 (:DEFINITION MEMBER-EQUAL))
 (2523 126 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2124 129 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1928 1928 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1865 1841 (:REWRITE DEFAULT-CAR))
 (1624 33 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1561 357 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1498 136 (:DEFINITION LEN))
 (1464 54 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1405 281 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1301 326 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (1250 1250 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1216 84 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1175 48 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1077 965 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1009 129 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (995 160 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (922 922 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (897 444 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (894 24 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (889 221 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (860 643 (:REWRITE DEFAULT-<-1))
 (835 134 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (714 104 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (698 82 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (650 650 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (643 643 (:REWRITE DEFAULT-<-2))
 (525 15 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (480 15 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (473 7 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (444 444 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (410 272 (:REWRITE STR::CONSP-OF-EXPLODE))
 (408 408 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (334 334 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (334 334 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (325 325 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (312 312 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (306 306 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (302 302 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (288 69 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (288 69 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (281 281 (:REWRITE SUBSETP-MEMBER . 4))
 (281 281 (:REWRITE SUBSETP-MEMBER . 3))
 (281 281 (:REWRITE SUBSETP-MEMBER . 2))
 (281 281 (:REWRITE SUBSETP-MEMBER . 1))
 (281 281 (:REWRITE INTERSECTP-MEMBER . 3))
 (281 281 (:REWRITE INTERSECTP-MEMBER . 2))
 (272 136 (:REWRITE DEFAULT-+-2))
 (266 266 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (245 126 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (237 237 (:TYPE-PRESCRIPTION M1-FILE-P))
 (234 102 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (231 11 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (231 11 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (216 20 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (206 206 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (206 206 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (206 206 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (204 204 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (171 69 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (165 22 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (165 22 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (156 40 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (153 153 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (147 147 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (146 136 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (136 136 (:REWRITE DEFAULT-+-1))
 (104 104 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (102 102 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (75 75 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (69 24 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (66 66 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (66 66 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (55 11 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (54 54 (:TYPE-PRESCRIPTION ATOM))
 (33 33 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (33 33 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (30 30 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (14 14 (:LINEAR LEN-WHEN-PREFIXP))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 8 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER))
 (7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL
 (34809 1252 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (29252 1061 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (13368 352 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (9900 691 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (8304 147 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (6795 4 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (4887 54 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (3167 255 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3003 160 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (2842 2408 (:REWRITE DEFAULT-CDR))
 (2471 126 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2325 129 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2282 2258 (:REWRITE DEFAULT-CAR))
 (2111 1057 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2110 2110 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1624 33 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1561 357 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1498 136 (:DEFINITION LEN))
 (1464 54 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1365 59 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1301 326 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (1252 1252 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1216 84 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1175 48 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1012 129 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1002 19 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (995 160 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (963 159 (:DEFINITION ASSOC-EQUAL))
 (922 922 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (897 444 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (894 24 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (889 221 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (835 134 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (774 147 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (755 38 (:REWRITE SUBSETP-CAR-MEMBER))
 (714 104 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (698 82 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (650 650 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (644 19 (:DEFINITION MEMBER-EQUAL))
 (639 130 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (568 351 (:REWRITE DEFAULT-<-1))
 (525 15 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (480 15 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (473 7 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (465 465 (:TYPE-PRESCRIPTION ZP))
 (444 444 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (410 272 (:REWRITE STR::CONSP-OF-EXPLODE))
 (408 408 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (372 27 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (351 351 (:REWRITE DEFAULT-<-2))
 (334 334 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (334 334 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (325 325 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (312 312 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (306 306 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (302 302 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (288 69 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (288 69 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (272 136 (:REWRITE DEFAULT-+-2))
 (266 266 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (250 250 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (245 126 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (237 237 (:TYPE-PRESCRIPTION M1-FILE-P))
 (234 102 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (231 11 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (231 11 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (216 20 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (206 206 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (206 206 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (206 206 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (204 204 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (171 69 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (165 22 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (165 22 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (156 156 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (156 40 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (153 153 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (151 151 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (147 147 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (146 136 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (136 136 (:REWRITE DEFAULT-+-1))
 (132 132 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (104 104 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (102 102 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (95 95 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (75 75 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (69 24 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (66 66 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (66 66 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (60 30 (:REWRITE SET-EQUIV-ASYM))
 (55 55 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (55 55 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (55 55 (:REWRITE SUBSETP-TRANS2))
 (55 55 (:REWRITE SUBSETP-TRANS))
 (54 54 (:TYPE-PRESCRIPTION ATOM))
 (38 38 (:REWRITE SUBSETP-MEMBER . 2))
 (38 38 (:REWRITE SUBSETP-MEMBER . 1))
 (33 33 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (33 33 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (30 30 (:TYPE-PRESCRIPTION SET-EQUIV))
 (30 30 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (30 30 (:REWRITE SUBSETP-OF-CDR))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (14 14 (:LINEAR LEN-WHEN-PREFIXP))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 8 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER))
 (7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(TRUE-LISTP-WHEN-ABS-FILE-ALIST-P
 (175 158 (:REWRITE DEFAULT-CDR))
 (160 158 (:REWRITE DEFAULT-CAR))
 (149 37 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (136 34 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (124 12 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (78 8 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (72 12 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (68 68 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (55 5 (:DEFINITION LEN))
 (50 10 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (44 44 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (38 2 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (37 37 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (34 34 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (25 5 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (19 13 (:REWRITE DEFAULT-<-1))
 (16 16 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (15 15 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (15 10 (:REWRITE STR::CONSP-OF-EXPLODE))
 (13 13 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (10 10 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (10 10 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (10 5 (:REWRITE DEFAULT-+-2))
 (10 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (5 5 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5 5 (:REWRITE DEFAULT-+-1))
 (4 4 (:TYPE-PRESCRIPTION STRING-LISTP))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (3 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (3 3 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE SET::IN-SET))
 )
(ABS-TOP-ADDRS
 (124 11 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (94 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (77 77 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (32 5 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (30 3 (:DEFINITION NATP))
 (21 3 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (18 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (18 3 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (18 1 (:REWRITE NFIX-WHEN-ZP))
 (16 1 (:REWRITE ZP-OPEN))
 (15 1 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (12 12 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 1 (:REWRITE NFIX-WHEN-NATP))
 (11 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (9 9 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (3 3 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 )
(ABS-TOP-ADDRS-OF-APPEND
 (264 18 (:REWRITE NFIX-WHEN-ZP))
 (228 18 (:REWRITE ZP-OPEN))
 (174 18 (:REWRITE NFIX-WHEN-NATP))
 (154 37 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (132 42 (:REWRITE DEFAULT-CDR))
 (78 13 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (74 65 (:REWRITE DEFAULT-CAR))
 (73 73 (:REWRITE DEFAULT-<-2))
 (73 73 (:REWRITE DEFAULT-<-1))
 (72 12 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (66 18 (:DEFINITION NATP))
 (37 37 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (36 12 (:REWRITE CAR-OF-APPEND))
 (25 25 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (25 25 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (25 25 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (18 18 (:TYPE-PRESCRIPTION ZP))
 (18 18 (:TYPE-PRESCRIPTION NATP))
 (18 18 (:REWRITE CONSP-OF-APPEND))
 (13 13 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 )
(ABS-TOP-ADDRS-OF-TRUE-LIST-FIX
 (972 16 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (700 32 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (512 48 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (406 16 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (356 20 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (324 46 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (176 8 (:REWRITE NFIX-WHEN-ZP))
 (160 8 (:REWRITE ZP-OPEN))
 (128 24 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (128 16 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (126 126 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (126 126 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (116 20 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (112 32 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (98 18 (:DEFINITION LEN))
 (98 8 (:REWRITE NFIX-WHEN-NATP))
 (96 32 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (92 92 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (80 80 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (72 10 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (64 64 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (64 32 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (50 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (48 48 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (46 46 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (42 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (42 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (40 40 (:REWRITE DEFAULT-CDR))
 (40 20 (:REWRITE DEFAULT-+-2))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (32 32 (:TYPE-PRESCRIPTION STRING-LISTP))
 (32 32 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (32 32 (:TYPE-PRESCRIPTION D-E-P))
 (32 32 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (32 32 (:REWRITE DEFAULT-<-2))
 (32 32 (:REWRITE DEFAULT-<-1))
 (32 32 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (32 16 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (32 8 (:DEFINITION NATP))
 (28 28 (:LINEAR LEN-WHEN-PREFIXP))
 (28 28 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20 20 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (20 20 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (20 20 (:REWRITE DEFAULT-CAR))
 (20 20 (:REWRITE DEFAULT-+-1))
 (20 20 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (20 2 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (16 16 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (16 16 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (16 16 (:REWRITE SET::IN-SET))
 (14 14 (:LINEAR POSITION-WHEN-MEMBER))
 (14 14 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (14 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (10 10 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 )
(LIST-EQUIV-IMPLIES-EQUAL-ABS-TOP-ADDRS-1
 (66 2 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (48 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (32 4 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (18 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (14 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (12 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (10 2 (:DEFINITION LEN))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8 4 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4 4 (:TYPE-PRESCRIPTION STRING-LISTP))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2 2 (:REWRITE SET::IN-SET))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ABS-TOP-ADDRS-OF-REMOVE
 (8804 235 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (7981 429 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3615 289 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (3165 83 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2968 120 (:DEFINITION MEMBER-EQUAL))
 (2000 243 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1490 1300 (:REWRITE DEFAULT-CDR))
 (1272 144 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1093 1082 (:REWRITE DEFAULT-CAR))
 (1048 73 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (910 38 (:REWRITE NFIX-WHEN-ZP))
 (841 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (834 38 (:REWRITE ZP-OPEN))
 (720 99 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (662 60 (:DEFINITION LEN))
 (629 158 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (628 70 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (616 527 (:REWRITE DEFAULT-<-1))
 (560 116 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (527 527 (:REWRITE DEFAULT-<-2))
 (468 468 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (429 429 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (426 73 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (368 368 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (349 3 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (314 314 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (306 7 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (297 27 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (268 56 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (243 243 (:REWRITE SUBSETP-MEMBER . 4))
 (243 243 (:REWRITE SUBSETP-MEMBER . 3))
 (243 243 (:REWRITE SUBSETP-MEMBER . 2))
 (243 243 (:REWRITE SUBSETP-MEMBER . 1))
 (243 243 (:REWRITE INTERSECTP-MEMBER . 3))
 (243 243 (:REWRITE INTERSECTP-MEMBER . 2))
 (239 235 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (214 54 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (196 196 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (196 196 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (196 196 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (182 120 (:REWRITE STR::CONSP-OF-EXPLODE))
 (180 180 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (157 157 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (144 36 (:DEFINITION NFIX))
 (138 138 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (134 134 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (120 60 (:REWRITE DEFAULT-+-2))
 (106 106 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (106 106 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (105 5 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (105 5 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (99 99 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (92 7 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (75 10 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (75 10 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (70 60 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (69 69 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (60 60 (:REWRITE DEFAULT-+-1))
 (56 25 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (46 14 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (42 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (40 1 (:REWRITE MEMBER-OF-CONS))
 (38 38 (:TYPE-PRESCRIPTION ZP))
 (30 30 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (30 30 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (25 25 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (15 15 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (15 15 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (14 14 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (9 7 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ABS-TOP-ADDRS-OF-PUT-ASSOC
 (820 30 (:REWRITE ZP-OPEN))
 (696 89 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (529 25 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (416 47 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (242 213 (:REWRITE DEFAULT-CAR))
 (233 29 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (217 73 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (167 141 (:REWRITE DEFAULT-CDR))
 (159 26 (:DEFINITION ASSOC-EQUAL))
 (150 15 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (144 120 (:REWRITE DEFAULT-<-1))
 (138 29 (:DEFINITION NATP))
 (120 120 (:REWRITE DEFAULT-<-2))
 (113 91 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (106 2 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (105 30 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (102 102 (:TYPE-PRESCRIPTION ZP))
 (91 91 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (91 91 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (80 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (72 72 (:TYPE-PRESCRIPTION LEN))
 (72 16 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (67 2 (:DEFINITION MEMBER-EQUAL))
 (58 47 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (47 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (29 29 (:TYPE-PRESCRIPTION NATP))
 (28 28 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (25 25 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (22 22 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (20 20 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (18 1 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (14 1 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (14 1 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (11 2 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (10 10 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (6 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5 1 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE SUBSETP-TRANS2))
 (4 4 (:REWRITE SUBSETP-TRANS))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 2 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 )
(ABS-NO-DUPS-P
 (337 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (288 9 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (230 15 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (196 60 (:REWRITE DEFAULT-+-2))
 (165 18 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (148 148 (:TYPE-PRESCRIPTION ACL2-COUNT-OF-CONSP-POSITIVE))
 (134 6 (:REWRITE LENGTH-WHEN-STRINGP))
 (117 17 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (110 60 (:REWRITE DEFAULT-+-1))
 (92 10 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (81 5 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (72 24 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (66 6 (:DEFINITION LEN))
 (62 62 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (58 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (53 11 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (50 32 (:REWRITE DEFAULT-CDR))
 (48 12 (:DEFINITION INTEGER-ABS))
 (42 3 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (42 1 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (40 10 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (37 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (37 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (36 36 (:TYPE-PRESCRIPTION M1-FILE-P))
 (35 35 (:REWRITE DEFAULT-CAR))
 (33 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (30 30 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (30 30 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (30 30 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (29 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (28 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (28 1 (:DEFINITION MEMBER-EQUAL))
 (25 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (20 7 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (19 13 (:REWRITE DEFAULT-<-2))
 (18 18 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (18 18 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (18 18 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (18 12 (:REWRITE STR::CONSP-OF-EXPLODE))
 (18 10 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (17 11 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (15 15 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (15 13 (:REWRITE DEFAULT-<-1))
 (15 3 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (15 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (14 1 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (12 12 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (12 12 (:REWRITE DEFAULT-UNARY-MINUS))
 (12 6 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12 6 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (12 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (12 1 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (11 11 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (10 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (10 1 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (10 1 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (9 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (6 6 (:REWRITE DEFAULT-REALPART))
 (6 6 (:REWRITE DEFAULT-NUMERATOR))
 (6 6 (:REWRITE DEFAULT-IMAGPART))
 (6 6 (:REWRITE DEFAULT-DENOMINATOR))
 (6 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (6 1 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (6 1 (:DEFINITION ASSOC-EQUAL))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (3 1 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(ABS-NO-DUPS-P-OF-CDR)
(ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC
 (27739 946 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (23360 836 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (16810 342 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (16130 134 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (12390 134 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (7356 74 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (6506 801 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6167 613 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5820 283 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5755 115 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2754 330 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2754 330 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2140 330 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1987 261 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1948 44 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1933 1084 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1921 1921 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1890 1890 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1719 261 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1640 504 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1410 394 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1376 88 (:REWRITE SUBSETP-CAR-MEMBER))
 (1332 44 (:DEFINITION MEMBER-EQUAL))
 (1200 284 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1149 337 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1084 1084 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1008 1008 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (947 946 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (887 92 (:DEFINITION ALISTP))
 (874 874 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (801 801 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (794 794 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (765 261 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (676 184 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (660 660 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (628 54 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (627 57 (:DEFINITION LEN))
 (551 283 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (526 116 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (504 504 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (475 475 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (406 406 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (406 406 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (402 134 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (368 92 (:DEFINITION STRIP-CARS))
 (348 68 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (328 328 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (298 68 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (247 133 (:REWRITE DEFAULT-<-1))
 (220 220 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (204 204 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (186 93 (:REWRITE SET-EQUIV-ASYM))
 (184 184 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (171 171 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (171 114 (:REWRITE STR::CONSP-OF-EXPLODE))
 (170 17 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (164 164 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (147 44 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (134 134 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (133 133 (:REWRITE DEFAULT-<-2))
 (114 57 (:REWRITE DEFAULT-+-2))
 (112 112 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (102 17 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (98 98 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (93 93 (:TYPE-PRESCRIPTION SET-EQUIV))
 (93 93 (:REWRITE SUBSETP-OF-CDR))
 (88 88 (:REWRITE SUBSETP-MEMBER . 2))
 (88 88 (:REWRITE SUBSETP-MEMBER . 1))
 (71 71 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (71 71 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (64 64 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (64 14 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (57 57 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (57 57 (:REWRITE DEFAULT-+-1))
 (56 56 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (49 49 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (49 49 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (49 49 (:REWRITE SUBSETP-TRANS2))
 (49 49 (:REWRITE SUBSETP-TRANS))
 (47 47 (:TYPE-PRESCRIPTION ATOM))
 (27 27 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (27 27 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (27 27 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (17 17 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (15 5 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 )
(ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P
 (17607 34 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (13277 2370 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (9556 704 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (5460 92 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5106 66 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3724 179 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (3337 36 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3110 19 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (3092 44 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (2353 2158 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2353 2158 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2182 2182 (:REWRITE SUBSETP-TRANS2))
 (2182 2182 (:REWRITE SUBSETP-TRANS))
 (1874 1780 (:REWRITE DEFAULT-CDR))
 (1581 1580 (:REWRITE DEFAULT-CAR))
 (971 68 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (900 900 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-FIX))
 (806 278 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (680 17 (:DEFINITION MEMBER-EQUAL))
 (650 17 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (599 599 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (599 345 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (593 34 (:REWRITE SUBSETP-CAR-MEMBER))
 (495 144 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (378 378 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (341 31 (:DEFINITION LEN))
 (294 88 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (268 92 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (264 264 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (264 264 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (264 52 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (234 234 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (198 33 (:DEFINITION ASSOC-EQUAL))
 (184 68 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (170 170 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (168 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (166 83 (:REWRITE SET-EQUIV-ASYM))
 (152 152 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (146 25 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (130 45 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (117 117 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (110 110 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (108 58 (:REWRITE DEFAULT-<-1))
 (108 36 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (104 8 (:DEFINITION NATP))
 (93 93 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (93 62 (:REWRITE STR::CONSP-OF-EXPLODE))
 (85 85 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (83 83 (:TYPE-PRESCRIPTION SET-EQUIV))
 (83 83 (:REWRITE SUBSETP-OF-CDR))
 (80 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (62 31 (:REWRITE DEFAULT-+-2))
 (61 21 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (58 58 (:REWRITE DEFAULT-<-2))
 (48 48 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (48 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (48 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (34 34 (:REWRITE SUBSETP-MEMBER . 2))
 (34 34 (:REWRITE SUBSETP-MEMBER . 1))
 (34 34 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (33 33 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (31 31 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (31 31 (:REWRITE DEFAULT-+-1))
 (24 24 (:LINEAR LEN-WHEN-PREFIXP))
 (24 24 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (24 12 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (19 19 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (19 19 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (17 17 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16 16 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (16 16 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER))
 (12 12 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE MEMBER-WHEN-ATOM))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 )
(ABS-NO-DUPS-P-OF-REMOVE-LEMMA-1
 (42231 1176 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (22514 409 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (22279 1558 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (17237 88 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10256 1035 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (8503 221 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8270 197 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (7197 102 (:DEFINITION MEMBER-EQUAL))
 (6258 392 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (6085 38 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (5185 221 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (4957 4205 (:REWRITE DEFAULT-CDR))
 (4799 221 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2913 266 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (2655 241 (:DEFINITION LEN))
 (2620 658 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (2605 585 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2350 2350 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1916 125 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1582 266 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1558 1558 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1554 242 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1542 1542 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1412 344 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1400 663 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1309 1176 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1308 1308 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (1277 25 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (1145 177 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1139 790 (:REWRITE DEFAULT-<-1))
 (1065 115 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (790 790 (:REWRITE DEFAULT-<-2))
 (727 482 (:REWRITE STR::CONSP-OF-EXPLODE))
 (723 723 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (714 34 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (714 34 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (663 663 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (654 654 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (632 632 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (552 52 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (534 534 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (534 534 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (514 514 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (510 510 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (510 68 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (510 68 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (482 241 (:REWRITE DEFAULT-+-2))
 (469 469 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (396 104 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (393 18 (:REWRITE SUBSETP-CAR-MEMBER))
 (381 221 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (357 78 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (344 344 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (344 344 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (344 344 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (261 241 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (257 257 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (246 21 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (241 241 (:REWRITE DEFAULT-+-1))
 (205 205 (:REWRITE SUBSETP-MEMBER . 2))
 (205 205 (:REWRITE SUBSETP-MEMBER . 1))
 (204 204 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (204 204 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (197 197 (:REWRITE SUBSETP-MEMBER . 4))
 (197 197 (:REWRITE SUBSETP-MEMBER . 3))
 (197 197 (:REWRITE INTERSECTP-MEMBER . 3))
 (197 197 (:REWRITE INTERSECTP-MEMBER . 2))
 (177 177 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (138 138 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (122 18 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (102 102 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (102 102 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (100 100 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (88 88 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (75 25 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (75 25 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (70 30 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (66 66 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (50 50 (:LINEAR LEN-WHEN-PREFIXP))
 (50 50 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (40 40 (:REWRITE ASSOC-OF-REMOVE))
 (36 18 (:REWRITE SET-EQUIV-ASYM))
 (25 25 (:LINEAR POSITION-WHEN-MEMBER))
 (25 25 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (21 21 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (21 21 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (21 21 (:REWRITE SUBSETP-TRANS2))
 (21 21 (:REWRITE SUBSETP-TRANS))
 (18 18 (:TYPE-PRESCRIPTION SET-EQUIV))
 (18 18 (:REWRITE SUBSETP-OF-CDR))
 )
(ABS-NO-DUPS-P-OF-REMOVE
 (14896 792 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (8551 128 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (8165 452 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8094 91 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (6896 202 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (5626 162 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (5608 30 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (5405 287 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5395 91 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (5199 60 (:REWRITE SUBSETP-CAR-MEMBER))
 (5139 607 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (4925 655 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4749 137 (:DEFINITION MEMBER-EQUAL))
 (3971 62 (:REWRITE SUBSETP-OF-REMOVE1))
 (3499 45 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (3457 182 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3392 304 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2570 85 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (2480 319 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1999 1030 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1995 87 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (1976 320 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1594 319 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1572 1572 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1083 1040 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1030 1030 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (998 290 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (974 4 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (955 955 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (885 885 (:TYPE-PRESCRIPTION M1-FILE-P))
 (859 788 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (825 816 (:REWRITE DEFAULT-CAR))
 (824 824 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (724 220 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (724 220 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (675 225 (:DEFINITION NATP))
 (638 638 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (627 621 (:REWRITE DEFAULT-CDR))
 (527 49 (:REWRITE SUBSETP-OF-REMOVE2))
 (490 287 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (433 93 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (433 93 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (352 164 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (350 350 (:REWRITE SUBSETP-MEMBER . 2))
 (350 350 (:REWRITE SUBSETP-MEMBER . 1))
 (328 328 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (309 67 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (304 304 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (290 290 (:REWRITE SUBSETP-MEMBER . 4))
 (290 290 (:REWRITE SUBSETP-MEMBER . 3))
 (290 290 (:REWRITE INTERSECTP-MEMBER . 3))
 (290 290 (:REWRITE INTERSECTP-MEMBER . 2))
 (262 131 (:REWRITE SET-EQUIV-ASYM))
 (258 258 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (257 93 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (256 256 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (252 252 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (252 252 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (240 48 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (238 39 (:DEFINITION ASSOC-EQUAL))
 (225 225 (:TYPE-PRESCRIPTION NATP))
 (225 225 (:REWRITE DEFAULT-<-2))
 (225 225 (:REWRITE DEFAULT-<-1))
 (164 164 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (153 153 (:TYPE-PRESCRIPTION SET-EQUIV))
 (131 131 (:REWRITE SUBSETP-TRANS2))
 (131 131 (:REWRITE SUBSETP-TRANS))
 (114 30 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (109 109 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (109 109 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (109 109 (:REWRITE SUBSETP-OF-CDR))
 (76 76 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (74 74 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (58 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (44 44 (:REWRITE SUBSETP-OF-REMOVE))
 (39 39 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (37 37 (:TYPE-PRESCRIPTION ATOM))
 (31 31 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (31 31 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24 8 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (22 22 (:REWRITE SUBSETP-REFL))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:TYPE-PRESCRIPTION CONSP-OF-ASSOC-OF-REMOVE))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ASSOC-OF-REMOVE))
 )
(ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL
 (11410 141 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (11021 691 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (8644 651 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8053 279 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (7724 144 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4393 328 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3411 141 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (2924 9 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (2749 237 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2050 96 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1785 58 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1765 40 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1715 373 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1676 328 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1462 1462 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1364 1364 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1289 1163 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1230 404 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1209 80 (:REWRITE SUBSETP-CAR-MEMBER))
 (1205 40 (:DEFINITION MEMBER-EQUAL))
 (1191 141 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1186 1061 (:REWRITE DEFAULT-CAR))
 (1163 1163 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1049 248 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1039 141 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1039 141 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1007 35 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (985 227 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (971 227 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (873 53 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (870 328 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (843 555 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (786 358 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (765 682 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (720 720 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (706 682 (:REWRITE DEFAULT-CDR))
 (655 39 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (585 227 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (585 165 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (585 165 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (555 555 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (529 44 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (484 36 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (450 90 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (430 56 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (418 418 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (414 414 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (373 373 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (358 358 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (298 40 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (292 292 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (282 282 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (238 238 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (228 228 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (216 96 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (210 210 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (210 210 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (200 200 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (164 82 (:REWRITE SET-EQUIV-ASYM))
 (154 9 (:REWRITE HIFAT-NO-DUPS-P-OF-PUT-ASSOC))
 (146 146 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (129 9 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (117 41 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (112 8 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (96 96 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (87 87 (:TYPE-PRESCRIPTION ATOM))
 (82 82 (:TYPE-PRESCRIPTION SET-EQUIV))
 (82 82 (:REWRITE SUBSETP-OF-CDR))
 (81 81 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (80 80 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (80 80 (:REWRITE SUBSETP-MEMBER . 2))
 (80 80 (:REWRITE SUBSETP-MEMBER . 1))
 (56 56 (:TYPE-PRESCRIPTION NULL))
 (56 56 (:DEFINITION NULL))
 (55 55 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (51 42 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (48 8 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (42 42 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (42 42 (:REWRITE SUBSETP-TRANS2))
 (42 42 (:REWRITE SUBSETP-TRANS))
 (27 9 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (18 5 (:REWRITE HIFAT-NO-DUPS-P-OF-REMOVE1-ASSOC-EQUAL))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (9 3 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1
 (136766 9532 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (135094 1635 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (107306 7925 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (96736 3531 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (78980 2123 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (37478 1635 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (33611 2618 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (29489 948 (:REWRITE SUBSETP-CAR-MEMBER))
 (29240 570 (:DEFINITION MEMBER-EQUAL))
 (28846 1317 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (27471 3496 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (24595 1059 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (22485 5253 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (21419 450 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (20942 1236 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (20395 49 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (19820 84 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (18894 18894 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (17496 24 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (16793 16793 (:TYPE-PRESCRIPTION M1-FILE-P))
 (16015 15959 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (14459 1549 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (13802 1559 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (13436 1549 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (13032 32 (:REWRITE SUBSETP-OF-REMOVE1))
 (11408 192 (:REWRITE REMOVE-WHEN-ABSENT))
 (11224 764 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (11032 312 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (10875 2271 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (10187 2271 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (9976 280 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (9512 9448 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (9053 5820 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (7888 3688 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7472 64 (:DEFINITION REMOVE-EQUAL))
 (7376 7376 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (7257 2093 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (7257 2093 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6527 195 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (5959 2271 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (5820 5820 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (5820 5820 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (5253 5253 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4877 1064 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (4398 713 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3688 3688 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (3488 3488 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (3392 3392 (:TYPE-PRESCRIPTION STRIP-CARS))
 (3250 3250 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3125 3125 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (3098 3098 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3012 3012 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2888 360 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2688 72 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2663 1059 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2582 2582 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2582 2582 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2240 40 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2190 449 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (2142 1071 (:REWRITE SET-EQUIV-ASYM))
 (2142 28 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1820 14 (:REWRITE CDR-OF-LIST-FIX))
 (1720 8 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (1666 56 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (1620 1620 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1432 1432 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (1316 1316 (:REWRITE SUBSETP-MEMBER . 2))
 (1316 1316 (:REWRITE SUBSETP-MEMBER . 1))
 (1312 328 (:DEFINITION STRIP-CARS))
 (1310 1310 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1232 48 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1208 72 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (1184 48 (:DEFINITION NATP))
 (1159 655 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1106 79 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1087 1087 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1055 1055 (:REWRITE SUBSETP-OF-CDR))
 (972 284 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (896 48 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (792 792 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (768 32 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (756 28 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (732 636 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (720 360 (:REWRITE MEMBER-WHEN-ATOM))
 (713 713 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (672 16 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (666 222 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (652 652 (:REWRITE SUBSETP-TRANS2))
 (652 652 (:REWRITE SUBSETP-TRANS))
 (643 643 (:TYPE-PRESCRIPTION ATOM))
 (636 636 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (581 581 (:TYPE-PRESCRIPTION NULL))
 (581 581 (:DEFINITION NULL))
 (528 528 (:REWRITE CONSP-OF-STRIP-CARS))
 (480 48 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (474 79 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (468 99 (:REWRITE HIFAT-NO-DUPS-P-OF-REMOVE1-ASSOC-EQUAL))
 (416 64 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (416 64 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (360 360 (:REWRITE SUBSETP-MEMBER . 4))
 (360 360 (:REWRITE SUBSETP-MEMBER . 3))
 (360 360 (:REWRITE INTERSECTP-MEMBER . 3))
 (360 360 (:REWRITE INTERSECTP-MEMBER . 2))
 (315 21 (:REWRITE M1-FILE-ALIST-P-OF-LIST-FIX))
 (288 32 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (284 284 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (272 272 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (248 48 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (233 49 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (224 28 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (216 216 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (200 16 (:REWRITE SUBSETP-OF-REMOVE2))
 (196 56 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (192 32 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (192 32 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (168 168 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (168 56 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (144 96 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (144 48 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (140 28 (:DEFINITION LEN))
 (128 128 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (128 128 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (112 112 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (112 56 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (96 96 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (96 96 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (84 28 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (84 28 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (84 28 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (72 72 (:REWRITE MEMBER-OF-STRIP-CARS))
 (72 72 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (64 64 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (64 64 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (64 64 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (56 56 (:TYPE-PRESCRIPTION STRING-LISTP))
 (56 56 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (56 56 (:TYPE-PRESCRIPTION D-E-P))
 (56 56 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (56 56 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (56 56 (:LINEAR LEN-WHEN-PREFIXP))
 (56 56 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (56 28 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (56 28 (:REWRITE DEFAULT-+-2))
 (56 28 (:REWRITE CAR-OF-LIST-FIX))
 (49 7 (:REWRITE ASSOC-OF-TRUE-LIST-FIX))
 (48 48 (:TYPE-PRESCRIPTION NATP))
 (48 48 (:REWRITE DEFAULT-<-2))
 (48 48 (:REWRITE DEFAULT-<-1))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (32 32 (:REWRITE SUBSETP-OF-REMOVE))
 (28 28 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (28 28 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (28 28 (:REWRITE SET::IN-SET))
 (28 28 (:REWRITE DEFAULT-+-1))
 (28 28 (:REWRITE CONSP-OF-LIST-FIX))
 (28 28 (:LINEAR POSITION-WHEN-MEMBER))
 (28 28 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (24 24 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (16 16 (:REWRITE SUBSETP-REFL))
 (16 16 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (16 16 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(ABS-NO-DUPS-P-OF-APPEND-LEMMA-1
 (2155 78 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1586 94 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (765 13 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (728 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (482 403 (:REWRITE DEFAULT-CDR))
 (392 388 (:REWRITE DEFAULT-CAR))
 (317 80 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (311 37 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (310 31 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (275 25 (:DEFINITION LEN))
 (227 47 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (181 31 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (164 164 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (158 158 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (154 154 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (142 10 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (102 22 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (94 94 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (92 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (88 58 (:REWRITE DEFAULT-<-1))
 (80 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (79 79 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (79 78 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (78 12 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (75 75 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (75 50 (:REWRITE STR::CONSP-OF-EXPLODE))
 (62 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (60 30 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (58 58 (:REWRITE DEFAULT-<-2))
 (56 56 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (50 25 (:REWRITE DEFAULT-+-2))
 (48 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (42 7 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (42 2 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (42 2 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (40 40 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (40 40 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (32 10 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (32 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (30 30 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (30 4 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (30 4 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (25 25 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (25 25 (:REWRITE DEFAULT-+-1))
 (24 24 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (22 22 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (15 15 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (15 15 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (15 15 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 10 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ABS-NO-DUPS-P-OF-APPEND
 (62724 1992 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (49373 1206 (:REWRITE SUBSETP-MEMBER . 4))
 (48522 401 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (44766 921 (:DEFINITION MEMBER-EQUAL))
 (43831 219 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (41365 213 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (29127 140 (:REWRITE SUBSETP-OF-REMOVE2))
 (26292 1213 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (23870 1988 (:REWRITE SUBSETP-MEMBER . 2))
 (21276 534 (:REWRITE SUBSETP-CAR-MEMBER))
 (16218 780 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (15515 34 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (15192 223 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (12645 771 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (12121 444 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (11979 390 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (10031 757 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9848 341 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (9092 461 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (9046 444 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (8873 351 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (7200 14 (:REWRITE SUBSETP-OF-CONS))
 (6913 27 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (6661 737 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (6081 5166 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (5107 266 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (5096 360 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (4901 3993 (:REWRITE DEFAULT-CDR))
 (4850 2852 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4799 257 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (4758 444 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (4733 1206 (:REWRITE INTERSECTP-MEMBER . 2))
 (4688 16 (:REWRITE CDR-OF-LIST-FIX))
 (4262 10 (:REWRITE MEMBER-OF-CONS))
 (4198 836 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (4198 836 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (4176 461 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3891 223 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (3732 1206 (:REWRITE INTERSECTP-MEMBER . 3))
 (3031 3031 (:REWRITE CONSP-OF-STRIP-CARS))
 (2999 2618 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2997 1618 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2711 1426 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2614 149 (:REWRITE M1-FILE-ALIST-P-OF-LIST-FIX))
 (2527 1156 (:REWRITE MEMBER-WHEN-ATOM))
 (2396 62 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2286 423 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2244 644 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2102 606 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2033 2033 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1988 1988 (:REWRITE SUBSETP-MEMBER . 1))
 (1982 360 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1733 728 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1699 1699 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1698 444 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1631 266 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1618 1618 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1527 888 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1462 12 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1365 390 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1327 231 (:DEFINITION LEN))
 (1308 754 (:REWRITE SUBSETP-TRANS))
 (1278 13 (:REWRITE ABS-ADDRS-OF-APPEND))
 (1272 212 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (1272 212 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (1264 1264 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1264 1264 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1214 86 (:DEFINITION ATOM))
 (1206 1206 (:REWRITE SUBSETP-MEMBER . 3))
 (1202 13 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (1170 390 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1153 730 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1144 360 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1142 1142 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1081 351 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1073 255 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1073 255 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1065 1065 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (1032 1032 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1025 205 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 1))
 (969 213 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (952 2 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (924 24 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (897 33 (:REWRITE CONSP-OF-APPEND))
 (896 448 (:REWRITE SET-EQUIV-ASYM))
 (894 894 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (888 888 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (888 888 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (882 882 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (844 396 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (792 792 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (780 390 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (754 754 (:REWRITE SUBSETP-TRANS2))
 (748 748 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (748 748 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (651 255 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (632 632 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (632 632 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (564 118 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (546 178 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (519 173 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (519 173 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (510 170 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (506 253 (:REWRITE DEFAULT-+-2))
 (500 472 (:REWRITE DEFAULT-<-1))
 (478 478 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (472 472 (:REWRITE DEFAULT-<-2))
 (468 76 (:DEFINITION ASSOC-EQUAL))
 (456 456 (:TYPE-PRESCRIPTION SET-EQUIV))
 (450 47 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (426 426 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (424 424 (:TYPE-PRESCRIPTION NATP))
 (404 404 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (404 24 (:REWRITE ABS-ADDRS-OF-TRUE-LIST-FIX))
 (402 402 (:REWRITE SUBSETP-OF-CDR))
 (396 396 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (394 38 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (390 390 (:TYPE-PRESCRIPTION STRING-LISTP))
 (390 390 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (390 390 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (390 195 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (358 10 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (354 118 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (346 346 (:LINEAR LEN-WHEN-PREFIXP))
 (346 346 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (289 289 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (288 24 (:REWRITE STRINGP-OF-APPEND))
 (266 266 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (253 253 (:REWRITE DEFAULT-+-1))
 (250 28 (:DEFINITION ALISTP))
 (224 56 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (222 222 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (202 47 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (195 195 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (195 195 (:REWRITE SET::IN-SET))
 (178 178 (:TYPE-PRESCRIPTION ZP))
 (173 173 (:LINEAR POSITION-WHEN-MEMBER))
 (173 173 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (170 170 (:REWRITE CONSP-OF-LIST-FIX))
 (162 46 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (137 137 (:TYPE-PRESCRIPTION ATOM))
 (112 112 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (77 77 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (66 54 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (64 32 (:REWRITE CAR-OF-LIST-FIX))
 (62 62 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (56 56 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (52 52 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (52 52 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (42 42 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (42 28 (:REWRITE STR::CONSP-OF-EXPLODE))
 (24 8 (:REWRITE CAR-OF-APPEND))
 (14 14 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (12 2 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (12 2 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (8 8 (:REWRITE SUBSETP-REFL))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 1))
 (5 1 (:REWRITE SET-EQUIV-OF-NIL))
 (4 4 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 )
(ABS-NO-DUPS-P-OF-REMOVE-ASSOC
 (10729 827 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (8893 95 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (7929 499 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6582 146 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6422 223 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (3681 95 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (3220 524 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2920 49 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (2889 248 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (2766 201 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2395 78 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (2100 152 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2083 153 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1713 36 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1642 1642 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1534 1474 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1474 1474 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1410 57 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1223 72 (:REWRITE SUBSETP-CAR-MEMBER))
 (1202 36 (:DEFINITION MEMBER-EQUAL))
 (1197 247 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1112 94 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (1069 248 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (998 823 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (972 972 (:TYPE-PRESCRIPTION M1-FILE-P))
 (906 94 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (869 94 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (843 95 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (693 4 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (639 633 (:REWRITE DEFAULT-CDR))
 (596 52 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (557 365 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (535 247 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (524 524 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (498 94 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (467 97 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (467 97 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (449 125 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (449 125 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (421 421 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (388 176 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (365 365 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (365 77 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (352 352 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (323 323 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (273 97 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (192 192 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (188 188 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (180 180 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (176 176 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (168 168 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (166 166 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (162 162 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (162 162 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (156 78 (:REWRITE SET-EQUIV-ASYM))
 (147 57 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (129 35 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (109 32 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (103 103 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (91 91 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (90 90 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (86 86 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (84 84 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (78 78 (:TYPE-PRESCRIPTION SET-EQUIV))
 (78 78 (:REWRITE SUBSETP-OF-CDR))
 (72 72 (:REWRITE SUBSETP-MEMBER . 2))
 (72 72 (:REWRITE SUBSETP-MEMBER . 1))
 (49 49 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (49 49 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (49 49 (:REWRITE SUBSETP-TRANS2))
 (49 49 (:REWRITE SUBSETP-TRANS))
 (42 42 (:TYPE-PRESCRIPTION ATOM))
 (28 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (24 8 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2
 (19198 14 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1))
 (15351 946 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (12713 653 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8893 136 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (8235 266 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (8199 198 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6589 346 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (5104 14 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (5036 78 (:DEFINITION MEMBER-EQUAL))
 (5032 108 (:REWRITE SUBSETP-CAR-MEMBER))
 (4788 394 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4649 136 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (4374 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3453 108 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3399 176 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (3258 8 (:REWRITE SUBSETP-OF-REMOVE1))
 (3193 62 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (3135 296 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2996 168 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (2852 48 (:REWRITE REMOVE-WHEN-ABSENT))
 (2758 78 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (2494 70 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2483 129 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2453 603 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2176 48 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1882 1882 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1868 16 (:DEFINITION REMOVE-EQUAL))
 (1722 1722 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1722 1722 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1661 246 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1566 80 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1533 345 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1497 1497 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1406 166 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1337 246 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1145 1085 (:REWRITE DEFAULT-CDR))
 (1140 167 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1101 166 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1066 396 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (986 594 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (943 942 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (848 848 (:TYPE-PRESCRIPTION STRIP-CARS))
 (792 792 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (722 90 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (707 211 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (707 211 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (672 18 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (646 646 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (642 246 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (617 345 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (603 603 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (594 594 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (560 10 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (533 4 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (490 490 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (486 162 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (430 2 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (426 426 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (421 421 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (414 414 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (396 396 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (386 27 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (371 55 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (358 358 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (349 77 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (332 332 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (328 82 (:DEFINITION STRIP-CARS))
 (308 12 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (303 129 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (302 18 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (296 12 (:DEFINITION NATP))
 (292 292 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (272 146 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (248 248 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (248 248 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (240 48 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (232 116 (:REWRITE SET-EQUIV-ASYM))
 (224 12 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (200 200 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (200 200 (:REWRITE SUBSETP-MEMBER . 2))
 (200 200 (:REWRITE SUBSETP-MEMBER . 1))
 (192 8 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (180 90 (:REWRITE MEMBER-WHEN-ATOM))
 (168 4 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (162 162 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (132 132 (:REWRITE CONSP-OF-STRIP-CARS))
 (120 120 (:TYPE-PRESCRIPTION SET-EQUIV))
 (120 12 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (112 112 (:REWRITE SUBSETP-OF-CDR))
 (104 16 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (104 16 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (94 70 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (91 91 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (91 91 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (90 90 (:REWRITE SUBSETP-MEMBER . 4))
 (90 90 (:REWRITE SUBSETP-MEMBER . 3))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 3))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 2))
 (84 84 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (84 28 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (74 74 (:REWRITE SUBSETP-TRANS2))
 (74 74 (:REWRITE SUBSETP-TRANS))
 (72 14 (:REWRITE HIFAT-NO-DUPS-P-OF-REMOVE1-ASSOC-EQUAL))
 (72 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (71 71 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (70 70 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (68 68 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (63 63 (:TYPE-PRESCRIPTION NULL))
 (63 63 (:DEFINITION NULL))
 (62 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (55 55 (:TYPE-PRESCRIPTION ATOM))
 (54 54 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (50 4 (:REWRITE SUBSETP-OF-REMOVE2))
 (48 8 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (48 8 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (38 14 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (36 24 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (36 12 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (32 32 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (28 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (24 24 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (24 24 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (18 18 (:REWRITE MEMBER-OF-STRIP-CARS))
 (18 18 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (12 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (8 8 (:REWRITE SUBSETP-OF-REMOVE))
 (6 6 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 4 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE
 (154963 758 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (82881 3684 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (71035 1961 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (53190 5533 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (35275 1369 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (28164 2801 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (26037 111 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (21968 300 (:DEFINITION BINARY-APPEND))
 (21251 600 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (18770 758 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (18151 2801 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (14165 1301 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (14034 844 (:REWRITE SUBSETP-CAR-MEMBER))
 (12978 4326 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (12516 2944 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (12336 3565 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12274 3565 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (12158 12158 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10644 10644 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (10098 2634 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (9943 224 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (7978 7978 (:REWRITE DEFAULT-CAR))
 (6928 610 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (6573 6573 (:REWRITE DEFAULT-CDR))
 (6357 605 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (6181 6106 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6014 6014 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (5886 1017 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (5204 280 (:REWRITE NFIX-WHEN-ZP))
 (4977 477 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (4938 4938 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4697 679 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (4642 280 (:REWRITE ZP-OPEN))
 (4472 936 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4043 469 (:DEFINITION NATP))
 (3388 3388 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3372 3372 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (3372 3372 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (3358 280 (:REWRITE NFIX-WHEN-NATP))
 (3327 1431 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (3246 521 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (3066 461 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2704 936 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2478 2478 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2332 532 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (2037 679 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1906 953 (:REWRITE SET-EQUIV-ASYM))
 (1346 266 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1305 1305 (:REWRITE DEFAULT-<-2))
 (1305 1305 (:REWRITE DEFAULT-<-1))
 (1042 1042 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1042 1042 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1042 1042 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (953 953 (:TYPE-PRESCRIPTION SET-EQUIV))
 (953 953 (:REWRITE SUBSETP-OF-CDR))
 (899 899 (:REWRITE SUBSETP-MEMBER . 2))
 (899 899 (:REWRITE SUBSETP-MEMBER . 1))
 (758 128 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (738 477 (:REWRITE SUBSETP-MEMBER . 3))
 (720 120 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (679 679 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (600 60 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (573 131 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (528 528 (:REWRITE SUBSETP-TRANS2))
 (528 528 (:REWRITE SUBSETP-TRANS))
 (521 521 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (516 516 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (516 516 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (516 516 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (478 162 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (477 477 (:REWRITE SUBSETP-MEMBER . 4))
 (477 477 (:REWRITE INTERSECTP-MEMBER . 3))
 (477 477 (:REWRITE INTERSECTP-MEMBER . 2))
 (469 469 (:TYPE-PRESCRIPTION NATP))
 (465 465 (:REWRITE MEMBER-WHEN-ATOM))
 (462 154 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (420 120 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (415 415 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (406 8 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (266 266 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (252 252 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (250 250 (:TYPE-PRESCRIPTION ATOM))
 (240 240 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (126 126 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (120 120 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE SUBSETP-REFL))
 )
(ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1
 (136 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (120 7 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (47 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (45 3 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (41 1 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (25 25 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (23 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 9 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (16 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (14 14 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (12 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (12 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (12 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (12 2 (:DEFINITION ASSOC-EQUAL))
 (10 1 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (9 9 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (7 7 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (7 3 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 )
(ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2
 (96 32 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (54 7 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (48 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (45 45 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (42 1 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (29 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (28 1 (:DEFINITION MEMBER-EQUAL))
 (25 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (19 1 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (16 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (16 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (15 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (14 1 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (13 1 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (13 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12 12 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE DEFAULT-CAR))
 (12 1 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE DEFAULT-CDR))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (6 1 (:DEFINITION ASSOC-EQUAL))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(ABS-ADDRS-OF-PUT-ASSOC-1
 (80070 1879 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (71750 3036 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (64820 1342 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (62653 1336 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (48078 1609 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (45739 2616 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (39462 1573 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (31987 675 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (25531 12074 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (24145 575 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (18986 3036 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (15614 610 (:REWRITE NFIX-WHEN-ZP))
 (15323 320 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (14364 594 (:REWRITE ZP-OPEN))
 (12058 1788 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (12018 12018 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10721 6011 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (9834 2141 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (9820 2141 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (9444 268 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (8695 2515 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (8695 2515 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (8504 3818 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8223 7638 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8048 7636 (:REWRITE DEFAULT-CAR))
 (7839 27 (:REWRITE CONSP-OF-APPEND))
 (7834 594 (:REWRITE NFIX-WHEN-NATP))
 (7638 7638 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (7095 869 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (5639 187 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (4787 2419 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (4102 586 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (3948 94 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (3774 3774 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3682 617 (:DEFINITION ASSOC-EQUAL))
 (3476 8 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (3090 3090 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (3090 3090 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2948 575 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (2726 188 (:REWRITE SUBSETP-CAR-MEMBER))
 (2632 94 (:DEFINITION MEMBER-EQUAL))
 (2616 2616 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2590 259 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (2522 586 (:DEFINITION NATP))
 (2438 2390 (:REWRITE DEFAULT-<-1))
 (2419 2419 (:TYPE-PRESCRIPTION ZP))
 (2390 2390 (:REWRITE DEFAULT-<-2))
 (2350 564 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2131 175 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (2112 126 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1906 417 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1825 1825 (:TYPE-PRESCRIPTION LEN))
 (1813 518 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (1804 1714 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1714 1714 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1714 1714 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1235 103 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1128 94 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1000 1000 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (958 958 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (940 940 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (914 869 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (859 129 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (605 605 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (586 586 (:TYPE-PRESCRIPTION NATP))
 (562 562 (:TYPE-PRESCRIPTION ATOM))
 (470 470 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (457 457 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (389 389 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (188 188 (:REWRITE SUBSETP-OF-CDR))
 (188 188 (:REWRITE SUBSETP-MEMBER . 2))
 (188 188 (:REWRITE SUBSETP-MEMBER . 1))
 (129 129 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (94 94 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (94 94 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (94 94 (:REWRITE SUBSETP-TRANS2))
 (94 94 (:REWRITE SUBSETP-TRANS))
 (48 8 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (36 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (36 2 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (28 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (22 4 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 2 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 )
(ABS-ADDRS-OF-PUT-ASSOC-2
 (9705 150 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (8489 490 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7999 246 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (7954 267 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (7020 712 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5794 4 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (5534 150 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (4819 368 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3615 379 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3290 99 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (3096 81 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (2422 70 (:DEFINITION BINARY-APPEND))
 (2352 54 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (2200 379 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1656 1656 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1531 829 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1333 56 (:REWRITE NFIX-WHEN-ZP))
 (1292 1292 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1221 56 (:REWRITE ZP-OPEN))
 (1134 112 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (1070 26 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1052 1011 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1019 229 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1017 293 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1017 293 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1005 229 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1002 172 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (820 378 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (766 745 (:REWRITE DEFAULT-CAR))
 (764 764 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (758 758 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (756 18 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (726 56 (:REWRITE NFIX-WHEN-NATP))
 (707 698 (:REWRITE DEFAULT-CDR))
 (696 12 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (605 229 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (596 4 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (571 74 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (543 10 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (537 302 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (522 36 (:REWRITE SUBSETP-CAR-MEMBER))
 (504 18 (:DEFINITION MEMBER-EQUAL))
 (480 24 (:DEFINITION ATOM))
 (450 108 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (402 402 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (384 384 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (382 81 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (373 56 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (368 368 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (362 362 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (362 362 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (328 80 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (241 56 (:DEFINITION NATP))
 (228 228 (:REWRITE DEFAULT-<-2))
 (228 228 (:REWRITE DEFAULT-<-1))
 (216 18 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (180 180 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (180 18 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (164 164 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (150 148 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (148 148 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (148 148 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (146 26 (:DEFINITION ASSOC-EQUAL))
 (126 36 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (121 121 (:TYPE-PRESCRIPTION ZP))
 (90 90 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (80 80 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (75 74 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (74 74 (:TYPE-PRESCRIPTION ATOM))
 (72 36 (:REWRITE SET-EQUIV-ASYM))
 (65 65 (:TYPE-PRESCRIPTION LEN))
 (56 56 (:TYPE-PRESCRIPTION NATP))
 (54 54 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (36 36 (:TYPE-PRESCRIPTION SET-EQUIV))
 (36 36 (:REWRITE SUBSETP-OF-CDR))
 (36 36 (:REWRITE SUBSETP-MEMBER . 2))
 (36 36 (:REWRITE SUBSETP-MEMBER . 1))
 (36 3 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (24 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (20 20 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (18 18 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (18 18 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (18 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 2 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(NO-DUPLICATESP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1
 (18 18 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (14 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 )
(NO-DUPLICATESP-OF-ABS-ADDRS-OF-PUT-ASSOC-1
 (754782 10922 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (630239 18023 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (342722 7218 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (322862 3178 (:DEFINITION BINARY-APPEND))
 (303043 14155 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (296343 10643 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (288635 6581 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (264271 7218 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (239444 10623 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (218695 4079 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (218564 510 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (216720 170265 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (210206 2481 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (190624 958 (:DEFINITION MEMBER-EQUAL))
 (188400 4218 (:DEFINITION ASSOC-EQUAL))
 (179830 3371 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (143394 2618 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (130938 336 (:REWRITE CONSP-OF-APPEND))
 (118073 18023 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (99068 2774 (:REWRITE NFIX-WHEN-ZP))
 (92911 43168 (:REWRITE DEFAULT-CAR))
 (92310 1441 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (90193 34432 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (87769 2774 (:REWRITE ZP-OPEN))
 (79336 24994 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (78203 13964 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (78168 13964 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (76984 1304 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (71164 7917 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (68860 68860 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (67039 43 (:DEFINITION INTERSECTP-EQUAL))
 (59890 1921 (:REWRITE SUBSETP-CAR-MEMBER))
 (59655 6771 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (54315 15223 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (54315 15223 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (53810 1030 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (49974 49974 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
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 (46188 2939 (:DEFINITION NATP))
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 (42375 3990 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (37738 1203 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (36466 35975 (:REWRITE DEFAULT-CDR))
 (31827 110 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (31390 651 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (26682 13482 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (25142 2239 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (23882 2939 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (22602 22602 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (21687 65 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-PUT-ASSOC))
 (19546 19546 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (19546 19546 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (17449 3371 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (16240 812 (:DEFINITION ATOM))
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 (15302 15302 (:TYPE-PRESCRIPTION ZP))
 (14584 14155 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (14073 2102 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (13972 2489 (:DEFINITION NFIX))
 (13380 1051 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (12528 12528 (:TYPE-PRESCRIPTION LEN))
 (11782 1680 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (10976 10976 (:REWRITE DEFAULT-<-2))
 (10976 10976 (:REWRITE DEFAULT-<-1))
 (10148 3 (:REWRITE ABS-ADDRS-OF-APPEND))
 (9212 12 (:REWRITE SUBSETP-APPEND1))
 (8148 7980 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (7980 7980 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (7980 7980 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (6235 6235 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5412 50 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (5261 688 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (4238 88 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (4159 4159 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4074 3990 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4016 4016 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (3380 1690 (:REWRITE SET-EQUIV-ASYM))
 (2939 2939 (:TYPE-PRESCRIPTION NATP))
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 (2752 2752 (:TYPE-PRESCRIPTION ATOM))
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 (2442 2269 (:REWRITE SUBSETP-TRANS))
 (2088 180 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1918 1918 (:REWRITE SUBSETP-MEMBER . 2))
 (1826 12 (:REWRITE MEMBER-OF-PUT-ASSOC))
 (1808 1808 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (1757 507 (:REWRITE INTERSECTP-MEMBER . 3))
 (1690 1690 (:REWRITE SUBSETP-OF-CDR))
 (1604 102 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1579 502 (:REWRITE MEMBER-WHEN-ATOM))
 (1215 99 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (757 102 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (688 688 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (506 506 (:REWRITE SUBSETP-MEMBER . 4))
 (430 50 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (382 96 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (373 96 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (334 86 (:REWRITE INTERSECTP-MEMBER . 1))
 (332 2 (:REWRITE SET-EQUIV-OF-CONS-SELF))
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 )
(NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1
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 )
(NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2
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 )
(NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3
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 )
(NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-4
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(NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC
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 (999 361 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (974 974 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
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 (942 942 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (919 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (911 113 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (889 212 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (792 61 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (791 791 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (672 88 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (664 664 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (646 646 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (644 644 (:TYPE-PRESCRIPTION ZP))
 (564 5 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (548 103 (:DEFINITION NFIX))
 (544 544 (:REWRITE DEFAULT-<-2))
 (544 544 (:REWRITE DEFAULT-<-1))
 (518 10 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (516 516 (:TYPE-PRESCRIPTION LEN))
 (513 513 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (508 47 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (503 75 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (464 464 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (464 464 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (464 464 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (406 113 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (400 94 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (250 250 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (232 232 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (204 102 (:REWRITE SET-EQUIV-ASYM))
 (194 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
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 (169 169 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (159 159 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (150 90 (:REWRITE MEMBER-WHEN-ATOM))
 (136 136 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (128 128 (:TYPE-PRESCRIPTION ATOM))
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 (102 102 (:TYPE-PRESCRIPTION SET-EQUIV))
 (102 102 (:REWRITE SUBSETP-OF-CDR))
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 (90 90 (:REWRITE SUBSETP-MEMBER . 3))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 3))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 2))
 (75 75 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (18 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (16 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (6 2 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 1))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
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 )
(NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC
 (277044 1024 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (188258 125931 (:REWRITE DEFAULT-CDR))
 (108761 2578 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (103122 5240 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (93691 92201 (:REWRITE DEFAULT-CAR))
 (92795 5156 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (88309 2578 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (84017 5074 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (77825 7075 (:DEFINITION LEN))
 (72343 5156 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (68356 15240 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (55070 4346 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (49892 7251 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (47817 246 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (45956 578 (:DEFINITION MEMBER-EQUAL))
 (44143 2173 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (41599 41599 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (41424 10356 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (36280 36280 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
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 (31295 18316 (:REWRITE DEFAULT-<-1))
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 (18316 18316 (:REWRITE DEFAULT-<-2))
 (15468 15468 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (15468 15468 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
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 (14789 297 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
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 (10308 10308 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (9722 9722 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (8803 8803 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
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 (7879 7734 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (7844 777 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
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 (6315 5250 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4861 4861 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4736 4736 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4204 85 (:REWRITE NFIX-WHEN-ZP))
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 (3852 214 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
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 (3552 1184 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
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 (3048 264 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3000 264 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
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 (2368 2368 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
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 (1856 317 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
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 (1184 1184 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (876 24 (:REWRITE INTERSECTP-WHEN-SUBSETP))
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 (246 246 (:REWRITE INTERSECTP-MEMBER . 2))
 (192 64 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
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 (24 24 (:REWRITE INTERSECT-WITH-SUBSET . 10))
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 (24 8 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 1))
 )
(ABS-FS-P
 (11 11 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(ABS-FS-P-CORRECTNESS-1
 (4 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(ABS-FS-P-OF-APPEND
 (9362 2 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (9224 12 (:REWRITE SUBSETP-OF-REMOVE1))
 (7076 148 (:REWRITE SUBSETP-MEMBER . 4))
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 (6300 48 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (5804 28 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (5192 28 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (5176 112 (:DEFINITION MEMBER-EQUAL))
 (3274 16 (:REWRITE SUBSETP-OF-REMOVE2))
 (3264 232 (:REWRITE SUBSETP-MEMBER . 2))
 (3144 148 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1992 12 (:REWRITE REMOVE-WHEN-ABSENT))
 (1780 92 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
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 (1236 52 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1176 56 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1068 36 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (872 60 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (852 56 (:REWRITE SUBSETP-CAR-MEMBER))
 (728 4 (:DEFINITION REMOVE-EQUAL))
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 (616 56 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (604 352 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
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 (533 65 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (508 508 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
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 (407 37 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
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 (392 112 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (392 112 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (373 277 (:REWRITE DEFAULT-CDR))
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 (352 352 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
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 (332 332 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
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 (324 144 (:REWRITE MEMBER-WHEN-ATOM))
 (285 285 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
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 (227 13 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
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 (222 74 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
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 (196 64 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
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 (148 148 (:REWRITE INTERSECTP-MEMBER . 3))
 (148 148 (:REWRITE INTERSECTP-MEMBER . 2))
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 (140 140 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (139 65 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (138 138 (:TYPE-PRESCRIPTION ABS-COMPLETE))
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 (112 112 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (112 112 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (112 112 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (112 112 (:TYPE-PRESCRIPTION FD-TABLE-P))
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 (112 112 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (112 112 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (112 112 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (111 111 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (104 104 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (102 102 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (98 37 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (98 37 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (88 44 (:REWRITE SET-EQUIV-ASYM))
 (76 64 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (74 74 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (74 74 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (74 74 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (74 74 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (64 64 (:REWRITE SUBSETP-TRANS2))
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 (56 56 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
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 (56 56 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (56 56 (:REWRITE DEFAULT-<-2))
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 (52 52 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (48 48 (:REWRITE MEMBER-OF-STRIP-CARS))
 (48 48 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (48 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (44 44 (:TYPE-PRESCRIPTION SET-EQUIV))
 (44 44 (:REWRITE SUBSETP-OF-CDR))
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 (13 13 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
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 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 )
(ABS-FS-P-OF-REMOVE
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(ABS-FS-P-OF-PUT-ASSOC-EQUAL
 (1364 79 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1304 4 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1))
 (1048 54 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (747 22 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (591 33 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (392 44 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (289 14 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (286 28 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (260 17 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (257 8 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (255 85 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (206 206 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (198 33 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (178 12 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (159 31 (:DEFINITION ASSOC-EQUAL))
 (154 4 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (150 33 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (145 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (129 129 (:REWRITE DEFAULT-CAR))
 (118 5 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (112 112 (:TYPE-PRESCRIPTION M1-FILE-P))
 (112 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (108 108 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (94 46 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (92 92 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (90 10 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (87 42 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (85 14 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (79 33 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (78 26 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (78 26 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (72 24 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (70 5 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (68 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (67 67 (:REWRITE DEFAULT-CDR))
 (60 20 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (57 54 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (50 50 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (50 50 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (46 46 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (46 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (45 12 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (44 44 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (42 42 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (42 3 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (41 14 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (34 14 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (31 7 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (28 28 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (26 26 (:TYPE-PRESCRIPTION NULL))
 (26 26 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (26 26 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (26 26 (:DEFINITION NULL))
 (24 24 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (21 13 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (15 15 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (9 3 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (9 3 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (7 7 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (5 5 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (4 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 )
(ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC
 (246 9 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (159 53 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (146 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (144 12 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (102 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (97 3 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (83 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (80 1 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (78 6 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (73 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (66 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (36 18 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (36 12 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (36 12 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (29 3 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (27 27 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (26 4 (:REWRITE DEFAULT-CDR))
 (21 3 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (20 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (18 18 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (18 6 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (16 16 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 12 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 12 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (12 6 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (12 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (12 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-P))
 (10 2 (:DEFINITION ASSOC-EQUAL))
 (9 9 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (7 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 6 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(ABS-FS-P-WHEN-HIFAT-NO-DUPS-P
 (16 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (8 5 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 )
(ABS-MKDIR-CORRECTNESS-LEMMA-48
 (25015 731 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (18045 750 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (12337 632 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10858 133 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (10537 352 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (8764 4 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (8564 90 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (7054 99 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6305 232 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2525 282 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2340 99 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1925 37 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1897 151 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1888 49 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1882 90 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1825 139 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1492 1492 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1392 59 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1372 1210 (:REWRITE DEFAULT-CDR))
 (1340 181 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1244 28 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1160 28 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1012 1012 (:REWRITE DEFAULT-CAR))
 (968 127 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (949 80 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (940 523 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (746 746 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (717 37 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (632 632 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (594 54 (:DEFINITION LEN))
 (565 43 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (536 134 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (523 523 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (514 118 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (514 118 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (503 11 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (493 21 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (469 42 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (424 184 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (420 420 (:TYPE-PRESCRIPTION M1-FILE-P))
 (400 400 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (368 368 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (367 42 (:REWRITE NONEMPTY-STRING-LISTP-OF-CDR-WHEN-NONEMPTY-STRING-LISTP))
 (348 43 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (321 52 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (302 118 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (300 143 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (300 143 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (294 294 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (284 284 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (284 284 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (268 268 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (254 152 (:REWRITE DEFAULT-<-1))
 (252 12 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (252 12 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (244 244 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (244 8 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (219 139 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (184 184 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (180 24 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (180 24 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (174 174 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (174 174 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (162 162 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (162 108 (:REWRITE STR::CONSP-OF-EXPLODE))
 (152 152 (:REWRITE DEFAULT-<-2))
 (140 140 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (134 134 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (126 126 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (126 9 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (122 122 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (121 37 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (108 54 (:REWRITE DEFAULT-+-2))
 (104 104 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (104 104 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (104 104 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (104 104 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (99 18 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (90 90 (:TYPE-PRESCRIPTION ATOM))
 (80 4 (:DEFINITION ATOM))
 (72 72 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (72 72 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (63 63 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (56 56 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (54 54 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (54 54 (:REWRITE DEFAULT-+-1))
 (52 52 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (36 36 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (36 36 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (16 16 (:LINEAR LEN-WHEN-PREFIXP))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1
 (112 4 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (106 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (103 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (40 40 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (23 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (19 19 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (18 18 (:REWRITE DEFAULT-CAR))
 (18 4 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (17 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (17 2 (:DEFINITION ALISTP))
 (16 16 (:REWRITE DEFAULT-CDR))
 (16 4 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (13 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (11 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (8 2 (:DEFINITION STRIP-CARS))
 (7 7 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 )
(ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(ABS-ADDRS-OF-REMOVE-ASSOC
 (1317960 33490 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (750496 11056 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (686119 14043 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (615187 12859 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (508897 10267 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (400076 5584 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (238597 201 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE-CONTENTS-FIX))
 (233103 1146 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (230375 7965 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (189953 2906 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (176474 110 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (170976 1159 (:DEFINITION MEMBER-EQUAL))
 (157449 1534 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (152594 5245 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (147677 1735 (:DEFINITION BINARY-APPEND))
 (113796 22939 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (109321 3347 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (79417 1146 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (75549 1196 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (66970 66970 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (66775 4455 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (66575 3996 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (65750 2697 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (62837 62789 (:REWRITE DEFAULT-CAR))
 (58755 2582 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (58356 902 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (51891 1245 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (50296 11972 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (48201 2466 (:REWRITE SUBSETP-CAR-MEMBER))
 (45037 7673 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (39358 1 (:REWRITE INTERSECT-EQUAL-OF-CONS-LEFT))
 (36553 9028 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (35627 8923 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (35117 3906 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (34192 950 (:REWRITE NFIX-WHEN-ZP))
 (33967 33487 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (33539 3049 (:DEFINITION LEN))
 (33363 3262 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (32292 950 (:REWRITE ZP-OPEN))
 (29206 5142 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (29188 5124 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (26424 1291 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (24336 24336 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (23140 23140 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (22269 5580 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (21425 2569 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (20575 3333 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (19805 460 (:REWRITE CONSP-OF-APPEND))
 (19649 3 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (19179 72 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (18524 2569 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (18068 18068 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (17427 11452 (:REWRITE DEFAULT-<-1))
 (17332 1340 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (17120 17120 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (14126 5124 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (13352 13352 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (13352 13352 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (13122 38 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (11817 243 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (11452 11452 (:REWRITE DEFAULT-<-2))
 (11250 2456 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (11126 11126 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (10903 2081 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (10395 226 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (10069 5584 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (9522 454 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (9148 9148 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (9147 9147 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (9147 6098 (:REWRITE STR::CONSP-OF-EXPLODE))
 (8140 2432 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (7929 108 (:REWRITE MEMBER-WHEN-ATOM))
 (7806 7806 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (7806 7806 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (7806 7806 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (7632 178 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (7486 236 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (6426 306 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (6426 306 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (6098 3049 (:REWRITE DEFAULT-+-2))
 (5578 5578 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (5563 5563 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (5138 5138 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4960 4960 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (4930 878 (:DEFINITION NFIX))
 (4594 2297 (:REWRITE SET-EQUIV-ASYM))
 (4590 612 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (4590 612 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (3906 3906 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (3750 3750 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (3209 74 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (3099 2081 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3049 3049 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3049 3049 (:REWRITE DEFAULT-+-1))
 (2569 2569 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2465 2465 (:REWRITE SUBSETP-MEMBER . 2))
 (2458 2458 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2450 2450 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2398 2398 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2297 2297 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2225 2225 (:REWRITE SUBSETP-OF-CDR))
 (2081 2081 (:REWRITE SUBSETP-TRANS2))
 (2081 2081 (:REWRITE SUBSETP-TRANS))
 (1949 15 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (1836 1836 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1836 1836 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1816 1816 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1675 39 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (1448 1448 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1448 1448 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1418 1418 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (1362 454 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1362 454 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (988 243 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (985 74 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (980 980 (:TYPE-PRESCRIPTION NATP))
 (918 918 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (918 918 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (908 908 (:LINEAR LEN-WHEN-PREFIXP))
 (908 908 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (454 454 (:LINEAR POSITION-WHEN-MEMBER))
 (454 454 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (434 31 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (317 59 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (225 71 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (225 57 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (157 74 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (150 15 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (110 110 (:REWRITE SUBSETP-MEMBER . 4))
 (110 110 (:REWRITE INTERSECTP-MEMBER . 3))
 (110 110 (:REWRITE INTERSECTP-MEMBER . 2))
 (83 15 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (73 73 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (73 73 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (73 73 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (73 73 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (73 73 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (73 73 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (73 73 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (73 73 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (73 73 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (73 73 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (72 72 (:REWRITE INTERSECTP-MEMBER . 1))
 (54 18 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (37 15 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (30 30 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (15 15 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 )
(ABS-FS-FIX
 (408 12 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (345 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (310 148 (:TYPE-PRESCRIPTION ACL2-COUNT-OF-CONSP-POSITIVE))
 (267 22 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (256 88 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (244 60 (:REWRITE DEFAULT-+-2))
 (192 28 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (176 18 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (166 21 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (161 6 (:REWRITE LENGTH-WHEN-STRINGP))
 (134 60 (:REWRITE DEFAULT-+-1))
 (121 121 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (121 121 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (117 31 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (84 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (81 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (76 4 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (75 8 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (66 6 (:DEFINITION LEN))
 (58 12 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (57 3 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (53 10 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (52 1 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (50 32 (:REWRITE DEFAULT-CDR))
 (48 12 (:DEFINITION INTEGER-ABS))
 (48 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (46 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (45 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (44 44 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (44 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (42 3 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (36 9 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (34 34 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (34 34 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (34 34 (:REWRITE DEFAULT-CAR))
 (32 32 (:TYPE-PRESCRIPTION M1-FILE-P))
 (28 4 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (26 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (26 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (25 13 (:REWRITE DEFAULT-<-2))
 (24 24 (:TYPE-PRESCRIPTION ABS-FS-P))
 (23 17 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (22 22 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (21 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (21 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (20 20 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (20 20 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (20 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (18 18 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (18 12 (:REWRITE STR::CONSP-OF-EXPLODE))
 (18 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (18 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (17 17 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (16 16 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (16 1 (:DEFINITION ASSOC-EQUAL))
 (15 13 (:REWRITE DEFAULT-<-1))
 (14 1 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (12 12 (:REWRITE DEFAULT-UNARY-MINUS))
 (12 6 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (12 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (12 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (10 1 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (10 1 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (9 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 8 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (6 6 (:REWRITE DEFAULT-REALPART))
 (6 6 (:REWRITE DEFAULT-NUMERATOR))
 (6 6 (:REWRITE DEFAULT-IMAGPART))
 (6 6 (:REWRITE DEFAULT-DENOMINATOR))
 (6 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (6 1 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (3 3 (:TYPE-PRESCRIPTION ATOM))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (2 2 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(ABS-FS-FIX-WHEN-ABS-FS-P
 (237251 3426 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (236548 1613 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (224265 3112 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (212974 3220 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (160515 3027 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (140709 125167 (:REWRITE DEFAULT-CDR))
 (117937 3027 (:DEFINITION MEMBER-EQUAL))
 (116974 17546 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (116137 6054 (:REWRITE SUBSETP-CAR-MEMBER))
 (106529 105374 (:REWRITE DEFAULT-CAR))
 (103841 23650 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (80418 3455 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (67625 17221 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (66316 17434 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (64528 5771 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (59943 9295 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (58455 9342 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (58455 9342 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (56816 56816 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (56274 14088 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (51347 51347 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (50770 4617 (:DEFINITION LEN))
 (48344 1613 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (46162 46162 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (45372 12604 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (44139 3019 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (40375 5037 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (39944 39944 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (36260 3193 (:DEFINITION ASSOC-EQUAL))
 (36061 3112 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (33622 3345 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (33620 1610 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (32754 28409 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (31894 31894 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (31008 4377 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (28112 28112 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (26768 9342 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (23262 3345 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (21296 12402 (:REWRITE DEFAULT-<-1))
 (21266 13757 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (18954 1010 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (17458 17458 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (16384 16384 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (16384 16384 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (15135 15135 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (14796 7398 (:REWRITE SET-EQUIV-ASYM))
 (14789 5301 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (14064 14064 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (14055 14054 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (13851 13851 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (13834 9234 (:REWRITE STR::CONSP-OF-EXPLODE))
 (13451 1360 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (12402 12402 (:REWRITE DEFAULT-<-2))
 (10253 10073 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (10073 10073 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (10073 10073 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (9677 8985 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (9450 9450 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (9450 9450 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (9234 4617 (:REWRITE DEFAULT-+-2))
 (8756 8756 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (7398 7398 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7398 7398 (:REWRITE SUBSETP-OF-CDR))
 (6650 6650 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6054 6054 (:REWRITE SUBSETP-MEMBER . 2))
 (6054 6054 (:REWRITE SUBSETP-MEMBER . 1))
 (5217 5037 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (5181 4725 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (5181 4725 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (5075 4475 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4617 4617 (:REWRITE DEFAULT-+-1))
 (4499 4475 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4475 4475 (:REWRITE SUBSETP-TRANS2))
 (4475 4475 (:REWRITE SUBSETP-TRANS))
 (4040 4040 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3879 250 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3325 3325 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3034 3034 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3034 3034 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3030 1010 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3030 1010 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2586 2586 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2020 2020 (:LINEAR LEN-WHEN-PREFIXP))
 (2020 2020 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1010 1010 (:LINEAR POSITION-WHEN-MEMBER))
 (1010 1010 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (484 15 (:REWRITE NFIX-WHEN-ZP))
 (454 15 (:REWRITE ZP-OPEN))
 (250 250 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (96 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (56 14 (:DEFINITION NFIX))
 (24 8 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (19 6 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (16 16 (:REWRITE ABS-FILE-P-OF-ABS-FILE-FIX))
 (14 14 (:REWRITE ABS-FILE->D-E$INLINE-OF-ABS-FILE-FIX-X))
 )
(ABS-FILE-ALIST-P-OF-ABS-FS-FIX
 (1757591 20718 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1732008 45780 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1420580 51029 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1412493 15391 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (435444 28607 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (434272 12555 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-36))
 (372870 3325 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (367650 2689 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (357261 5203 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (299635 16428 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (195848 6930 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (185590 6887 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (162698 10643 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (153922 913 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (131470 3582 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (117104 5395 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (110899 94995 (:REWRITE DEFAULT-CDR))
 (105906 11142 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (102020 102020 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (75452 74738 (:REWRITE DEFAULT-CAR))
 (72686 51011 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (60748 10067 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (58121 58121 (:TYPE-PRESCRIPTION ABS-FS-P))
 (57730 5747 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (55374 5034 (:DEFINITION LEN))
 (53068 7323 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (49917 12893 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (47849 11493 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (47793 11493 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (47040 624 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (46128 46128 (:TYPE-PRESCRIPTION M1-FILE-P))
 (43356 1256 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (39290 1877 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (38481 6795 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (36356 18150 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (36316 36316 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (36001 402 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (34923 18506 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (32445 2652 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (30591 913 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (29643 11493 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (28986 1576 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (28607 28607 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (26887 878 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (26763 7859 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (26696 376 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (23270 1878 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (23205 8275 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (21936 1612 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (21824 624 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (21780 21780 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (21675 21675 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (21286 21286 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (20576 20576 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (20304 752 (:REWRITE SUBSETP-CAR-MEMBER))
 (18506 18506 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (18150 18150 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (18080 1248 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (16544 376 (:DEFINITION MEMBER-EQUAL))
 (16219 10111 (:REWRITE DEFAULT-<-1))
 (15921 2317 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (15102 15102 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (15102 10068 (:REWRITE STR::CONSP-OF-EXPLODE))
 (15024 1878 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (14994 1612 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (13912 2256 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (13524 13524 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (13232 3214 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (10406 10406 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10111 10111 (:REWRITE DEFAULT-<-2))
 (10068 5034 (:REWRITE DEFAULT-+-2))
 (9531 5395 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (9452 9452 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (9452 9452 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (9292 439 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (7996 7996 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (6966 387 (:REWRITE NFIX-WHEN-ZP))
 (6560 800 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (6388 6388 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (6304 6304 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6192 387 (:REWRITE ZP-OPEN))
 (6016 376 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (5640 5640 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (5034 5034 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5034 5034 (:REWRITE DEFAULT-+-1))
 (4728 1576 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4728 1576 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4644 387 (:REWRITE NFIX-WHEN-NATP))
 (4633 4633 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4633 4633 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (4633 4633 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (3768 3768 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (3744 3744 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (3384 2256 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3384 2256 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3224 3224 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (3174 3174 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (3152 3152 (:LINEAR LEN-WHEN-PREFIXP))
 (3152 3152 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2317 2317 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2256 2256 (:REWRITE SUBSETP-TRANS2))
 (2256 2256 (:REWRITE SUBSETP-TRANS))
 (1968 400 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1884 1884 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (1880 1880 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1872 1872 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (1612 1612 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1576 1576 (:LINEAR POSITION-WHEN-MEMBER))
 (1576 1576 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1376 1136 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (1226 18 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (1178 1178 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (913 913 (:TYPE-PRESCRIPTION ATOM))
 (752 752 (:REWRITE SUBSETP-MEMBER . 2))
 (752 752 (:REWRITE SUBSETP-MEMBER . 1))
 (692 176 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (456 40 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (402 402 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (389 389 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (389 389 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (387 387 (:TYPE-PRESCRIPTION NATP))
 (296 296 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (86 86 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (84 4 (:REWRITE NATP-OF-CDAR-WHEN-FD-TABLE-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(ABS-NO-DUPS-P-OF-ABS-FS-FIX
 (8779 484 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (7440 65 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (7008 192 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (6739 185 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (3777 45 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (3319 207 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2207 35 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2119 111 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2107 156 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1886 241 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1272 65 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1059 31 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (990 22 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (954 954 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (954 459 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (892 13 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (846 66 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (806 130 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (754 130 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (734 130 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (688 44 (:REWRITE SUBSETP-CAR-MEMBER))
 (681 279 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (656 22 (:DEFINITION MEMBER-EQUAL))
 (641 13 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (624 130 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (623 623 (:TYPE-PRESCRIPTION M1-FILE-P))
 (616 66 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (574 132 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (525 493 (:REWRITE DEFAULT-CAR))
 (521 478 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (496 91 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (459 459 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (444 6 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (440 146 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (430 117 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (418 91 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (407 372 (:REWRITE DEFAULT-CDR))
 (404 104 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (296 296 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (295 91 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (294 294 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (272 22 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (271 79 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (271 79 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (262 262 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (230 230 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (187 111 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (145 145 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (132 20 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (126 126 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (126 11 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (126 7 (:REWRITE NFIX-WHEN-ZP))
 (120 120 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (117 117 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (112 7 (:REWRITE ZP-OPEN))
 (110 110 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (108 18 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (96 96 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (96 96 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (96 96 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (84 21 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (84 7 (:REWRITE NFIX-WHEN-NATP))
 (80 40 (:REWRITE SET-EQUIV-ASYM))
 (72 20 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (66 11 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (59 1 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (50 50 (:TYPE-PRESCRIPTION ATOM))
 (50 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (44 44 (:REWRITE SUBSETP-MEMBER . 2))
 (44 44 (:REWRITE SUBSETP-MEMBER . 1))
 (42 7 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (42 7 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (40 40 (:TYPE-PRESCRIPTION SET-EQUIV))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (40 40 (:REWRITE SUBSETP-OF-CDR))
 (38 32 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (38 32 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (36 36 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (32 32 (:REWRITE SUBSETP-TRANS2))
 (32 32 (:REWRITE SUBSETP-TRANS))
 (31 29 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (29 29 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (28 28 (:REWRITE DEFAULT-<-2))
 (28 28 (:REWRITE DEFAULT-<-1))
 (28 7 (:DEFINITION NATP))
 (22 22 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (14 14 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (14 14 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (14 14 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (11 11 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (7 7 (:TYPE-PRESCRIPTION NATP))
 (7 7 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 4 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 )
(ABS-FS-P-OF-ABS-FS-FIX)
(ABS-FS-FIX
 (8359 272 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (7380 184 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6800 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (5117 274 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3963 131 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2402 46 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1884 24 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1868 100 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1710 42 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1626 81 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1410 64 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1292 144 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1228 40 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (1056 918 (:REWRITE DEFAULT-CDR))
 (809 809 (:REWRITE DEFAULT-CAR))
 (715 208 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (697 80 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (600 180 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (544 544 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (506 46 (:DEFINITION LEN))
 (472 274 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (362 362 (:TYPE-PRESCRIPTION ABS-FS-P))
 (352 352 (:TYPE-PRESCRIPTION M1-FILE-P))
 (306 86 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (288 18 (:DEFINITION ASSOC-EQUAL))
 (280 280 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (278 272 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (274 274 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (256 48 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (252 108 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (214 214 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (212 52 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (208 208 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (180 180 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (160 32 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (158 18 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (156 40 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (150 150 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (148 75 (:REWRITE DEFAULT-<-1))
 (140 140 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (138 138 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (138 92 (:REWRITE STR::CONSP-OF-EXPLODE))
 (138 52 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (112 24 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (112 24 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (108 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (96 96 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (92 46 (:REWRITE DEFAULT-+-2))
 (88 88 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (88 64 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (88 44 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (88 2 (:DEFINITION MEMBER-EQUAL))
 (76 76 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (75 75 (:REWRITE DEFAULT-<-2))
 (74 12 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (68 24 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (64 64 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (58 58 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (58 58 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (46 46 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (46 46 (:REWRITE DEFAULT-+-1))
 (44 44 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (38 38 (:LINEAR LEN-WHEN-PREFIXP))
 (38 38 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (38 19 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (32 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (30 30 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (23 21 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (22 5 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (20 2 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (19 19 (:LINEAR POSITION-WHEN-MEMBER))
 (19 19 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (18 18 (:TYPE-PRESCRIPTION ATOM))
 (18 18 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (18 18 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (18 18 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (18 12 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (18 12 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 12 (:REWRITE SUBSETP-TRANS2))
 (12 12 (:REWRITE SUBSETP-TRANS))
 (12 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (12 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (10 10 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 )
(MEMBER-OF-ABS-FS-FIX-WHEN-NATP
 (12559 617 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (9488 319 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (7797 235 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (7263 77 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (6961 225 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6114 95 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (5278 106 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (5169 386 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (4100 525 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3910 269 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (3338 108 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (3145 453 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2344 160 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2342 106 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (2088 1801 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1623 299 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1563 27 (:DEFINITION ASSOC-EQUAL))
 (1536 299 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1464 26 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1354 60 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1340 26 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1266 26 (:REWRITE SUBSETP-OF-CONS))
 (1212 1212 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1169 19 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1069 1069 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (990 162 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (986 42 (:REWRITE SUBSETP-CAR-MEMBER))
 (924 82 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (884 244 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (833 534 (:REWRITE DEFAULT-CAR))
 (832 8 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (770 770 (:TYPE-PRESCRIPTION M1-FILE-P))
 (752 232 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (752 232 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (706 162 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (704 704 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (684 609 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (630 162 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (614 364 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (606 606 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (601 601 (:TYPE-PRESCRIPTION ABS-FS-P))
 (592 364 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (547 473 (:REWRITE DEFAULT-CDR))
 (500 500 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (497 269 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (472 82 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (410 410 (:REWRITE SUBSETP-TRANS2))
 (410 410 (:REWRITE SUBSETP-TRANS))
 (354 117 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (260 260 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (260 260 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (260 260 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (260 18 (:REWRITE NFIX-WHEN-ZP))
 (240 240 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (228 4 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (220 4 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (216 18 (:REWRITE ZP-OPEN))
 (196 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (164 164 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (146 146 (:REWRITE SUBSETP-MEMBER . 2))
 (142 4 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (141 117 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (106 106 (:TYPE-PRESCRIPTION ATOM))
 (84 84 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (77 44 (:REWRITE MEMBER-WHEN-ATOM))
 (72 18 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (64 64 (:REWRITE DEFAULT-<-2))
 (64 64 (:REWRITE DEFAULT-<-1))
 (63 63 (:REWRITE SUBSETP-MEMBER . 4))
 (63 63 (:REWRITE INTERSECTP-MEMBER . 3))
 (63 63 (:REWRITE INTERSECTP-MEMBER . 2))
 (52 52 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (36 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (36 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (27 27 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (26 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (24 6 (:DEFINITION NFIX))
 (20 10 (:REWRITE SET-EQUIV-ASYM))
 (19 19 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (19 19 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (14 14 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 12 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 12 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (10 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(CONSP-OF-ASSOC-OF-ABS-FS-FIX
 (7934 299 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5720 318 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (5638 158 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (5346 116 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (3819 34 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3555 56 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (3127 67 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (2411 67 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (1375 82 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1341 174 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1297 81 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (980 51 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (884 15 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (839 15 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (622 537 (:REWRITE DEFAULT-CDR))
 (601 358 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (594 594 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (593 561 (:REWRITE DEFAULT-CAR))
 (576 8 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (563 93 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (554 165 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (546 44 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (432 432 (:TYPE-PRESCRIPTION ABS-FS-P))
 (432 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (418 93 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (418 93 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (395 107 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (386 386 (:TYPE-PRESCRIPTION M1-FILE-P))
 (358 358 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (352 8 (:DEFINITION MEMBER-EQUAL))
 (345 85 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (345 85 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (311 32 (:DEFINITION ALISTP))
 (301 299 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (300 88 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (296 48 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (276 122 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (265 44 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (247 64 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (244 244 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (232 232 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (214 214 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (209 19 (:DEFINITION LEN))
 (207 85 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (186 186 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (165 165 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (151 81 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (128 32 (:DEFINITION STRIP-CARS))
 (128 8 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (122 122 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (122 122 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (120 120 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (120 20 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (106 106 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (106 106 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (100 62 (:REWRITE DEFAULT-<-1))
 (98 6 (:REWRITE NFIX-WHEN-ZP))
 (88 88 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (86 6 (:REWRITE ZP-OPEN))
 (80 17 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (76 20 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (72 48 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (72 48 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (67 67 (:TYPE-PRESCRIPTION ATOM))
 (64 64 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (62 62 (:REWRITE DEFAULT-<-2))
 (61 61 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (57 57 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (57 38 (:REWRITE STR::CONSP-OF-EXPLODE))
 (48 48 (:REWRITE SUBSETP-TRANS2))
 (48 48 (:REWRITE SUBSETP-TRANS))
 (42 7 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (40 40 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (40 40 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (38 19 (:REWRITE DEFAULT-+-2))
 (37 7 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (30 30 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (28 28 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (20 20 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (20 20 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (20 5 (:DEFINITION NFIX))
 (19 19 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (19 19 (:REWRITE DEFAULT-+-1))
 (16 16 (:REWRITE SUBSETP-MEMBER . 2))
 (16 16 (:REWRITE SUBSETP-MEMBER . 1))
 (13 13 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (13 13 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (13 13 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 8 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (7 7 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (5 5 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(ABS-FS-FIX-OF-REMOVE-EQUAL
 (156424 6253 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (142778 2294 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (122254 2496 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (122041 2376 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (99675 5243 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (87314 331 (:DEFINITION MEMBER-EQUAL))
 (63466 356 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (47322 3892 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (42412 70 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (41601 124 (:REWRITE SUBSETP-CAR-MEMBER))
 (41171 875 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (39597 72 (:REWRITE SUBSETP-OF-REMOVE1))
 (38403 2065 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (36126 1067 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (30247 2169 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (22656 573 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (18711 466 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (17359 573 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (12488 12488 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10825 666 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10396 3179 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10080 215 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (9788 2176 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7426 7426 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6726 368 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (6447 107 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (6394 6246 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6116 97 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (6022 6022 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (5823 5823 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4921 439 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (4863 1491 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4810 7 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (4590 1434 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4394 3835 (:REWRITE DEFAULT-CDR))
 (4347 4347 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4077 237 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (3883 16 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (3805 100 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (3796 3499 (:REWRITE DEFAULT-CAR))
 (3381 2065 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (3279 3279 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3200 44 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (3179 3179 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3107 727 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3070 4 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (3029 727 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3022 4 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (2736 527 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2730 22 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (2558 1062 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2522 4 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (2474 4 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (2407 118 (:REWRITE ABS-FS-P-OF-REMOVE))
 (2128 2128 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2058 153 (:DEFINITION ASSOC-EQUAL))
 (1847 727 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1772 1772 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1578 1578 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1578 1578 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1427 70 (:REWRITE NFIX-WHEN-ZP))
 (1294 1294 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1287 70 (:REWRITE ZP-OPEN))
 (1230 1050 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1183 112 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (1181 70 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1061 1061 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1054 1054 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1039 55 (:REWRITE LENGTH-WHEN-STRINGP))
 (909 125 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (901 901 (:REWRITE SUBSETP-MEMBER . 2))
 (901 901 (:REWRITE SUBSETP-MEMBER . 1))
 (853 3 (:REWRITE MEMBER-OF-CONS))
 (656 70 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (627 57 (:DEFINITION LEN))
 (605 56 (:REWRITE SUBSETP-OF-REMOVE2))
 (604 44 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (592 592 (:REWRITE SUBSETP-MEMBER . 4))
 (592 592 (:REWRITE SUBSETP-MEMBER . 3))
 (592 592 (:REWRITE INTERSECTP-MEMBER . 3))
 (592 592 (:REWRITE INTERSECTP-MEMBER . 2))
 (589 589 (:REWRITE MEMBER-WHEN-ATOM))
 (564 564 (:TYPE-PRESCRIPTION ATOM))
 (543 55 (:DEFINITION UNSIGNED-BYTE-P))
 (537 427 (:REWRITE DEFAULT-<-1))
 (509 50 (:DEFINITION ALISTP))
 (488 55 (:DEFINITION INTEGER-RANGE-P))
 (427 427 (:REWRITE DEFAULT-<-2))
 (425 77 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (416 100 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (394 197 (:REWRITE SET-EQUIV-ASYM))
 (372 44 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (272 68 (:DEFINITION NFIX))
 (259 247 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (247 247 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (247 247 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (224 50 (:DEFINITION STRIP-CARS))
 (223 223 (:TYPE-PRESCRIPTION SET-EQUIV))
 (217 7 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (211 211 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (200 200 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (194 194 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (182 182 (:TYPE-PRESCRIPTION STRIP-CARS))
 (171 171 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (171 171 (:REWRITE SUBSETP-OF-CDR))
 (171 114 (:REWRITE STR::CONSP-OF-EXPLODE))
 (165 165 (:REWRITE SUBSETP-TRANS2))
 (165 165 (:REWRITE SUBSETP-TRANS))
 (154 154 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (153 153 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (139 139 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (139 139 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (137 125 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (116 100 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (114 57 (:REWRITE DEFAULT-+-2))
 (110 55 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (100 100 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (91 91 (:TYPE-PRESCRIPTION D-E-P))
 (88 88 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (84 14 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (72 72 (:TYPE-PRESCRIPTION NATP))
 (71 71 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (71 71 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (59 1 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (57 57 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (57 57 (:REWRITE DEFAULT-+-1))
 (57 1 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (56 7 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (54 18 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (52 52 (:REWRITE SUBSETP-OF-REMOVE))
 (48 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (44 44 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (26 26 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (26 26 (:REWRITE SUBSETP-REFL))
 (24 8 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (24 8 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (14 14 (:LINEAR LEN-WHEN-PREFIXP))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER))
 (7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (5 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 )
(ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2
 (10328 480 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (8396 384 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (7951 232 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2987 384 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2568 213 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (2484 168 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2441 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2172 8 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (944 944 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (862 730 (:REWRITE DEFAULT-CDR))
 (567 567 (:TYPE-PRESCRIPTION ABS-FS-P))
 (557 551 (:REWRITE DEFAULT-CAR))
 (556 124 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (552 42 (:DEFINITION NATP))
 (472 472 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (462 42 (:DEFINITION LEN))
 (438 38 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (428 88 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (390 30 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (384 384 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (374 38 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (270 270 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (258 38 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (240 30 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (234 234 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (222 36 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (218 46 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (202 122 (:REWRITE DEFAULT-<-1))
 (126 126 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (126 118 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (126 84 (:REWRITE STR::CONSP-OF-EXPLODE))
 (126 42 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (126 6 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (126 6 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (122 122 (:REWRITE DEFAULT-<-2))
 (90 12 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (90 12 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (88 18 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (86 86 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (86 86 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (86 86 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (84 42 (:REWRITE DEFAULT-+-2))
 (84 6 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (78 12 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (76 76 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (72 72 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (72 72 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (72 72 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (66 12 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (66 12 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (42 42 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (42 42 (:REWRITE DEFAULT-+-1))
 (38 38 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (36 36 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (36 36 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (36 36 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (36 36 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (36 12 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (33 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (24 12 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-P))
 (18 18 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (18 18 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (14 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (12 12 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (10 4 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 )
(ABS-FS-FIX-OF-PUT-ASSOC-EQUAL
 (1341868 52245 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1204330 446 (:REWRITE ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL))
 (875896 4044 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (816149 18228 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (639298 24734 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (614846 20837 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (578796 12715 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (578536 9569 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (354659 4044 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (342763 78 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (320018 31554 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (275374 27568 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (238698 13006 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (136150 14562 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (128203 2500 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (121009 52881 (:REWRITE DEFAULT-CAR))
 (104356 104356 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (99346 1958 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (95238 14562 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (94680 12129 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (88288 47320 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (87356 3338 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (85272 14562 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (77445 1952 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (71956 71956 (:TYPE-PRESCRIPTION M1-FILE-P))
 (71854 1958 (:DEFINITION MEMBER-EQUAL))
 (62841 11057 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (62477 11057 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (61948 3916 (:REWRITE SUBSETP-CAR-MEMBER))
 (60516 20948 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (57812 2020 (:DEFINITION ATOM))
 (56586 52185 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (54016 12708 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (51960 598 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (47320 47320 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (46440 18 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1))
 (43856 928 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (42000 42000 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (40940 1948 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (40596 12524 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (40596 12524 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (35750 35278 (:REWRITE DEFAULT-CDR))
 (34924 34924 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (33038 2190 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (32005 11057 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (31180 10596 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (29124 29124 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (28512 2438 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (27854 60 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (26639 2789 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (24548 13006 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (21310 21310 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (20948 20948 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (20118 446 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (19241 19241 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (17040 17040 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (14036 14036 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (14036 14036 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (9790 9790 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (9615 1260 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (8272 4136 (:REWRITE SET-EQUIV-ASYM))
 (5568 1856 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (5102 5102 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4961 4961 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4396 4396 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4136 4136 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4136 4136 (:REWRITE SUBSETP-OF-CDR))
 (4068 306 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3916 3916 (:REWRITE SUBSETP-MEMBER . 2))
 (3916 3916 (:REWRITE SUBSETP-MEMBER . 1))
 (3492 240 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (3240 2836 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2748 2748 (:TYPE-PRESCRIPTION NULL))
 (2748 2748 (:DEFINITION NULL))
 (2424 2248 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2248 2248 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2248 2248 (:REWRITE SUBSETP-TRANS2))
 (2248 2248 (:REWRITE SUBSETP-TRANS))
 (2108 62 (:REWRITE NFIX-WHEN-ZP))
 (2078 2078 (:TYPE-PRESCRIPTION ATOM))
 (1818 62 (:REWRITE ZP-OPEN))
 (1781 48 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1408 176 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1374 1374 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (1350 180 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1338 446 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (1332 176 (:REWRITE HIFAT-NO-DUPS-P-OF-PUT-ASSOC))
 (1072 180 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (990 90 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (732 60 (:DEFINITION NATP))
 (691 48 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (536 60 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (536 60 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (464 464 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (396 396 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (396 396 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (244 244 (:REWRITE DEFAULT-<-2))
 (244 244 (:REWRITE DEFAULT-<-1))
 (240 60 (:DEFINITION NFIX))
 (208 120 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (162 18 (:REWRITE HIFAT-NO-DUPS-P-OF-REMOVE1-ASSOC-EQUAL))
 (120 120 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (120 120 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (104 60 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (94 94 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (60 60 (:TYPE-PRESCRIPTION NATP))
 (56 47 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (10 10 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (8 8 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 )
(ABS-FS-FIX-OF-TRUE-LIST-FIX
 (9795 853 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (8602 377 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (7889 747 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6791 209 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (6268 101 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (5390 104 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3417 185 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3365 286 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (3242 103 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (2444 206 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (2036 52 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2019 468 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1912 31 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1861 1757 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1704 1704 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1638 21 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1564 101 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1477 90 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (1438 139 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1281 31 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1115 57 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1086 52 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (989 853 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (973 41 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (908 908 (:TYPE-PRESCRIPTION ABS-FS-P))
 (854 52 (:REWRITE M1-FILE-ALIST-P-OF-LIST-FIX))
 (822 24 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (739 739 (:TYPE-PRESCRIPTION M1-FILE-P))
 (656 168 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (638 262 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (622 82 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (616 137 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (616 137 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (539 368 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (537 487 (:REWRITE DEFAULT-CDR))
 (514 222 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (513 82 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (513 82 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (498 90 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (496 458 (:REWRITE DEFAULT-CAR))
 (486 19 (:REWRITE NFIX-WHEN-ZP))
 (468 468 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (448 19 (:REWRITE ZP-OPEN))
 (444 444 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (372 57 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (368 368 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (359 137 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (326 27 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (307 41 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (303 87 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (303 87 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (266 266 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (266 76 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (237 19 (:REWRITE NFIX-WHEN-NATP))
 (235 43 (:DEFINITION LEN))
 (228 76 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (222 222 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (222 28 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (194 194 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (188 188 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (180 180 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (168 4 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (166 166 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (164 164 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (162 162 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (152 76 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (123 57 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (123 19 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (116 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (112 4 (:DEFINITION MEMBER-EQUAL))
 (108 108 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (108 108 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (100 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (99 33 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (99 33 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (97 97 (:TYPE-PRESCRIPTION ATOM))
 (96 48 (:REWRITE DEFAULT-+-2))
 (93 31 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (90 9 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (76 76 (:TYPE-PRESCRIPTION STRING-LISTP))
 (76 76 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (76 76 (:TYPE-PRESCRIPTION D-E-P))
 (76 76 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (76 76 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (76 76 (:REWRITE DEFAULT-<-2))
 (76 76 (:REWRITE DEFAULT-<-1))
 (76 76 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (76 38 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (76 19 (:DEFINITION NATP))
 (66 66 (:LINEAR LEN-WHEN-PREFIXP))
 (66 66 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (63 18 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (56 56 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (56 56 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (56 56 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (48 48 (:REWRITE DEFAULT-+-1))
 (48 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (41 41 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (40 40 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (40 8 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (40 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (38 38 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (38 38 (:REWRITE SET::IN-SET))
 (36 4 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (33 33 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (33 33 (:LINEAR POSITION-WHEN-MEMBER))
 (33 33 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (28 28 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (24 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (21 21 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (21 21 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (20 20 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (19 19 (:TYPE-PRESCRIPTION NATP))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (8 8 (:TYPE-PRESCRIPTION SET-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE SUBSETP-TRANS2))
 (4 4 (:REWRITE SUBSETP-TRANS))
 (4 4 (:REWRITE CONS-CAR-CDR))
 (2 2 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(LIST-EQUIV-IMPLIES-EQUAL-ABS-FS-FIX-1
 (113 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (107 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (90 2 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (64 9 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (56 4 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (48 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (32 7 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (28 7 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (28 2 (:REWRITE M1-FILE-ALIST-P-OF-LIST-FIX))
 (22 18 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (21 21 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (18 18 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (16 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (15 15 (:TYPE-PRESCRIPTION ABS-FS-P))
 (15 9 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (12 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (10 2 (:DEFINITION LEN))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8 4 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4 4 (:TYPE-PRESCRIPTION STRING-LISTP))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2 2 (:REWRITE SET::IN-SET))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE CONSP-OF-LIST-FIX))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ABS-TOP-ADDRS-OF-ABS-FS-FIX
 (1694 145 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1370 26 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (1336 44 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1307 134 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1301 68 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (989 19 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (945 46 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (762 22 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (625 15 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (493 10 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (385 6 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (368 15 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (362 21 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (356 92 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (352 20 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (351 351 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (351 351 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (336 17 (:REWRITE NFIX-WHEN-ZP))
 (309 15 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (307 121 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (307 31 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (306 26 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (302 17 (:REWRITE ZP-OPEN))
 (294 10 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (290 290 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (283 72 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (278 8 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (276 44 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (250 13 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (224 48 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (179 179 (:TYPE-PRESCRIPTION M1-FILE-P))
 (169 169 (:TYPE-PRESCRIPTION ABS-FS-P))
 (169 155 (:REWRITE DEFAULT-CAR))
 (160 35 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (160 35 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (145 145 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (134 58 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (128 114 (:REWRITE DEFAULT-CDR))
 (128 18 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (123 84 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (116 116 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (112 20 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (112 18 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (112 18 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (112 16 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (112 16 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (98 9 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (93 35 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (84 84 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (72 72 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (72 16 (:DEFINITION NATP))
 (66 66 (:REWRITE DEFAULT-<-2))
 (66 66 (:REWRITE DEFAULT-<-1))
 (62 18 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (62 18 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (58 58 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (54 9 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (42 42 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (42 1 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (41 41 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (40 40 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (40 40 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (36 36 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (32 32 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (32 32 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (32 32 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (29 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (28 1 (:DEFINITION MEMBER-EQUAL))
 (27 13 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (25 25 (:TYPE-PRESCRIPTION ATOM))
 (25 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (23 23 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (22 22 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (22 22 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION NATP))
 (16 16 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (12 1 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (11 11 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (10 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (10 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (9 9 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (9 1 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (6 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE CONS-CAR-CDR))
 )
(NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1
 (6746 291 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (6145 712 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (5061 841 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4982 160 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (4549 144 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (4349 288 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (3134 2765 (:REWRITE DEFAULT-CDR))
 (3073 64 (:REWRITE SUBSETP-CAR-MEMBER))
 (3030 25 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2440 31 (:DEFINITION MEMBER-EQUAL))
 (2395 305 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2287 527 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2218 72 (:REWRITE NFIX-WHEN-ZP))
 (2188 2188 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2148 50 (:DEFINITION BINARY-APPEND))
 (2074 72 (:REWRITE ZP-OPEN))
 (2018 2002 (:REWRITE DEFAULT-CAR))
 (1944 111 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1772 442 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1727 411 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1683 1683 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1619 1619 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (1588 442 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1458 149 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1420 1095 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1323 7 (:DEFINITION ABS-FILE-FIX$INLINE))
 (1276 116 (:DEFINITION LEN))
 (1122 1122 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1107 459 (:REWRITE SUBSETP-TRANS))
 (952 238 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (810 588 (:REWRITE DEFAULT-<-1))
 (779 122 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (779 122 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (709 5 (:REWRITE SUBSETP-OF-CONS))
 (702 702 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (658 658 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (658 658 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (609 609 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (609 609 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (609 609 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (588 588 (:REWRITE DEFAULT-<-2))
 (516 38 (:DEFINITION ASSOC-EQUAL))
 (476 476 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (458 5 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (348 348 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (348 232 (:REWRITE STR::CONSP-OF-EXPLODE))
 (305 305 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (276 69 (:DEFINITION NFIX))
 (273 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-36))
 (260 88 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (242 242 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (242 242 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (238 238 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (232 116 (:REWRITE DEFAULT-+-2))
 (210 7 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (207 10 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (181 63 (:REWRITE SUBSETP-MEMBER . 2))
 (158 158 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (134 14 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (123 6 (:REWRITE SUBSETP-CONS-2))
 (121 121 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (116 116 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (116 116 (:REWRITE DEFAULT-+-1))
 (111 4 (:REWRITE CONSP-OF-APPEND))
 (90 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (85 85 (:TYPE-PRESCRIPTION NATP))
 (82 8 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (79 10 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (79 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (74 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (65 25 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (63 63 (:REWRITE SUBSETP-MEMBER . 1))
 (54 27 (:REWRITE SET-EQUIV-ASYM))
 (38 38 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (35 7 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (32 32 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (32 32 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (31 8 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (30 30 (:TYPE-PRESCRIPTION SET-EQUIV))
 (29 1 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (24 8 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (21 7 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (20 20 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (19 19 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (18 3 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (16 16 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (15 6 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (14 14 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (14 14 (:LINEAR LEN-WHEN-PREFIXP))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14 7 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-P))
 (12 5 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (8 1 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER))
 (7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (7 2 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (5 5 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (5 5 (:REWRITE SUBSETP-OF-CDR))
 (5 1 (:REWRITE MEMBER-OF-CONS))
 (3 3 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (3 3 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE-CONTENTS-FIX))
 )
(COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34
 (244 21 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (225 7 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (205 1 (:REWRITE ABS-FILE->CONTENTS$INLINE-OF-ABS-FILE-FIX-X))
 (202 8 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (181 31 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (176 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (97 25 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (87 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (82 82 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (76 4 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (74 9 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (57 5 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (52 1 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (49 49 (:TYPE-PRESCRIPTION ABS-FS-P))
 (47 41 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (45 13 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (44 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (43 5 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (43 1 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (39 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (35 11 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (33 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (29 3 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (27 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (26 2 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (25 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (25 16 (:REWRITE DEFAULT-CDR))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-P))
 (22 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (22 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (22 2 (:DEFINITION LEN))
 (20 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (19 1 (:DEFINITION ABS-ASSOC-DEFINITION))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (18 18 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (18 1 (:REWRITE NFIX-WHEN-ZP))
 (18 1 (:DEFINITION ASSOC-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (16 14 (:REWRITE DEFAULT-CAR))
 (16 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (16 2 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (16 1 (:REWRITE ZP-OPEN))
 (15 15 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (14 6 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (14 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (14 1 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (12 12 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (12 8 (:REWRITE DEFAULT-<-1))
 (12 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (12 3 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (12 1 (:REWRITE NFIX-WHEN-NATP))
 (11 11 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (10 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (9 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (9 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 1 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (7 3 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6 4 (:REWRITE STR::CONSP-OF-EXPLODE))
 (6 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (6 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION NAT-LISTP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (4 2 (:REWRITE DEFAULT-+-2))
 (4 1 (:DEFINITION NFIX))
 (4 1 (:DEFINITION NATP))
 (3 3 (:TYPE-PRESCRIPTION ZP))
 (3 3 (:REWRITE CDR-CONS))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION ATOM))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE CAR-CONS))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABS-FILE->D-E$INLINE-OF-ABS-FILE-FIX-X))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(MEMBER-OF-ABS-TOP-ADDRS
 (13051 885 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (13043 176 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10433 55 (:DEFINITION MEMBER-EQUAL))
 (8234 182 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (5537 723 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (5273 392 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4988 162 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (4468 76 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (3492 81 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3127 45 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2863 170 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2698 49 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2642 371 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2598 156 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2550 181 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (2224 197 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2174 78 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (2145 11 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (2088 529 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1949 105 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1932 1821 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1748 1748 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1710 44 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1516 136 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1428 224 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1386 29 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1212 136 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1093 170 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1021 874 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (985 17 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (920 30 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (910 910 (:TYPE-PRESCRIPTION ABS-FS-P))
 (898 76 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (884 4 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (882 62 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (876 4 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (828 18 (:REWRITE SUBSETP-OF-CONS))
 (791 29 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (756 192 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (670 36 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (668 268 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (660 660 (:TYPE-PRESCRIPTION M1-FILE-P))
 (660 290 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (660 40 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (647 290 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (628 136 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (593 529 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (575 575 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (559 49 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (558 31 (:REWRITE NFIX-WHEN-ZP))
 (531 481 (:REWRITE DEFAULT-CAR))
 (516 160 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (516 160 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (496 31 (:REWRITE ZP-OPEN))
 (460 460 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (460 400 (:REWRITE DEFAULT-CDR))
 (372 93 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (372 31 (:REWRITE NFIX-WHEN-NATP))
 (350 66 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (348 348 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (339 339 (:REWRITE SUBSETP-TRANS2))
 (339 339 (:REWRITE SUBSETP-TRANS))
 (300 300 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (294 27 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (256 26 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (244 244 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (234 234 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (224 6 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (220 220 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (194 105 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (186 31 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (186 31 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (178 178 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (178 178 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (162 27 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (140 140 (:REWRITE DEFAULT-<-2))
 (140 140 (:REWRITE DEFAULT-<-1))
 (139 58 (:REWRITE MEMBER-WHEN-ATOM))
 (139 49 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (136 136 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (126 126 (:REWRITE SUBSETP-MEMBER . 2))
 (109 109 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (84 84 (:REWRITE SUBSETP-MEMBER . 4))
 (84 84 (:REWRITE INTERSECTP-MEMBER . 3))
 (84 84 (:REWRITE INTERSECTP-MEMBER . 2))
 (84 2 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (78 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (74 74 (:TYPE-PRESCRIPTION ATOM))
 (74 74 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (62 62 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (62 62 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (62 62 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (58 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (40 12 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (31 31 (:TYPE-PRESCRIPTION NATP))
 (31 31 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (31 31 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (26 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (20 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (18 2 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (17 17 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (17 17 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (9 9 (:TYPE-PRESCRIPTION SET-EQUIV))
 (8 8 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (6 6 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE CONS-CAR-CDR))
 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (16 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (10 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABS-FS-EQUIV$INLINE
 (12 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(ABS-FS-EQUIV-IS-AN-EQUIVALENCE)
(ABS-FS-EQUIV-IMPLIES-EQUAL-ABS-FS-FIX-1)
(ABS-FS-FIX-UNDER-ABS-FS-EQUIV)
(EQUAL-OF-ABS-FS-FIX-1-FORWARD-TO-ABS-FS-EQUIV)
(EQUAL-OF-ABS-FS-FIX-2-FORWARD-TO-ABS-FS-EQUIV)
(ABS-FS-EQUIV-OF-ABS-FS-FIX-1-FORWARD)
(ABS-FS-EQUIV-OF-ABS-FS-FIX-2-FORWARD)
(NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX
 (260731 4457 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (213734 1789 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (207713 4489 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (196726 9567 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (168754 3538 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (126747 4816 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (121552 1636 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (115580 9124 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (105813 668 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (85973 1539 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (81182 5279 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (76804 882 (:DEFINITION BINARY-APPEND))
 (60869 1819 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (47343 1789 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (35280 785 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (27320 27320 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (26728 5279 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (25147 81 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (20659 5 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (19770 473 (:REWRITE ZP-OPEN))
 (19702 1483 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (18114 2953 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (17357 4481 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16771 454 (:REWRITE CONSP-OF-APPEND))
 (14468 13662 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14432 866 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (12488 12488 (:TYPE-PRESCRIPTION M1-FILE-P))
 (11810 3182 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (11810 3182 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (11715 190 (:DEFINITION MEMBER-EQUAL))
 (11575 128 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (11321 11321 (:TYPE-PRESCRIPTION ABS-FS-P))
 (10927 1793 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (10833 10833 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10643 135 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (9324 2985 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8738 646 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (8596 8546 (:REWRITE DEFAULT-CDR))
 (8544 8511 (:REWRITE DEFAULT-CAR))
 (8289 184 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (8015 119 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (7990 145 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (7919 1793 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (7813 1793 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (7646 473 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (7228 365 (:REWRITE SUBSETP-CAR-MEMBER))
 (6782 1483 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (6406 1837 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (6230 6230 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (5998 145 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (5971 5971 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (5857 3793 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (4481 4481 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4336 542 (:DEFINITION NATP))
 (4314 4314 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4314 4314 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4314 4314 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4258 542 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (4084 372 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (4014 278 (:DEFINITION ASSOC-EQUAL))
 (3431 323 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (3200 468 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (3104 1 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (2987 2987 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2319 135 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2041 145 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (1959 1959 (:REWRITE DEFAULT-<-2))
 (1959 1959 (:REWRITE DEFAULT-<-1))
 (1940 382 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1731 1731 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1731 1731 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1731 1731 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1321 240 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (918 459 (:REWRITE SET-EQUIV-ASYM))
 (866 866 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (760 95 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (573 287 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (561 561 (:TYPE-PRESCRIPTION ATOM))
 (542 542 (:TYPE-PRESCRIPTION NATP))
 (540 540 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (524 524 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (480 480 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (468 468 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (459 459 (:TYPE-PRESCRIPTION SET-EQUIV))
 (459 459 (:REWRITE SUBSETP-OF-CDR))
 (392 4 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (380 380 (:REWRITE SUBSETP-MEMBER . 2))
 (380 380 (:REWRITE SUBSETP-MEMBER . 1))
 (377 184 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (364 287 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (288 288 (:REWRITE SUBSETP-TRANS2))
 (288 288 (:REWRITE SUBSETP-TRANS))
 (145 145 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (145 145 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (128 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (108 78 (:REWRITE MEMBER-WHEN-ATOM))
 (83 3 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (81 81 (:REWRITE SUBSETP-MEMBER . 4))
 (81 81 (:REWRITE INTERSECTP-MEMBER . 3))
 (81 81 (:REWRITE INTERSECTP-MEMBER . 2))
 (76 76 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (61 21 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (48 48 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (6 6 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (3 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 )
(ADDRS-AT
 (655 7 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (612 612 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (504 15 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (439 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (212 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (174 9 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (145 9 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (142 14 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (132 16 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (120 15 (:DEFINITION ASSOC-EQUAL))
 (120 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (119 8 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (119 8 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (100 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (64 8 (:DEFINITION MEMBER-EQUAL))
 (58 58 (:REWRITE DEFAULT-CAR))
 (53 24 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (48 16 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (44 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (42 41 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (38 14 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (37 37 (:REWRITE DEFAULT-CDR))
 (37 16 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (30 30 (:TYPE-PRESCRIPTION M1-FILE-P))
 (30 30 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (30 30 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (24 9 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (23 8 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (23 7 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (22 8 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (21 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
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 (17 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (17 5 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (17 1 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (17 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (16 16 (:TYPE-PRESCRIPTION ABS-COMPLETE))
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 (16 16 (:REWRITE SUBSETP-MEMBER . 1))
 (16 16 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (16 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (15 15 (:REWRITE SUBSETP-TRANS2))
 (15 15 (:REWRITE SUBSETP-TRANS))
 (14 14 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
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 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (8 4 (:REWRITE DEFAULT-+-2))
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 (7 7 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
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 (6 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
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 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DEFAULT-+-1))
 (3 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (2 1 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 )
(ADDRS-AT-OF-FAT32-FILENAME-LIST-FIX
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 (8266 93 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (6960 68 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (5889 41 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5148 36 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (4533 257 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2638 53 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1999 89 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1694 50 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1521 53 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (1209 93 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1209 93 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1089 178 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1085 142 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1010 142 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1000 154 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (971 92 (:DEFINITION ASSOC-EQUAL))
 (924 36 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (799 53 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (793 267 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
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 (682 682 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (674 98 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (645 185 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (592 503 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (572 572 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
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 (534 178 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (503 503 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
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 (403 244 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (340 340 (:TYPE-PRESCRIPTION M1-FILE-P))
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 (319 318 (:REWRITE DEFAULT-CAR))
 (314 314 (:TYPE-PRESCRIPTION ABS-FS-P))
 (308 308 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (284 284 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (276 38 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (267 267 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (252 36 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (247 93 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (231 89 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (227 11 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (214 89 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (209 181 (:REWRITE DEFAULT-CDR))
 (185 185 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (184 184 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (178 178 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (178 178 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (178 178 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (159 53 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (154 154 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (154 154 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (122 122 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (106 106 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (96 12 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (90 12 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (89 89 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (72 72 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (66 11 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (61 61 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (53 53 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (53 53 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (36 36 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (31 31 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (23 23 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (23 23 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (12 12 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 )
(FAT32-FILENAME-LIST-EQUIV-IMPLIES-EQUAL-ADDRS-AT-2
 (12 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(ADDRS-AT-OF-ABS-FS-FIX
 (2483 85 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2483 24 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2044 15 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1630 15 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (962 19 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (885 83 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (610 24 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (567 19 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (422 38 (:DEFINITION ASSOC-EQUAL))
 (368 43 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (350 24 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (350 24 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (302 43 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (284 46 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (281 19 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (266 71 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (256 48 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (249 38 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (240 240 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (233 72 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (230 46 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (202 20 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (176 8 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (174 174 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (170 170 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (152 19 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (144 48 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (144 48 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (142 85 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (134 134 (:REWRITE DEFAULT-CAR))
 (128 128 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (114 17 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (94 94 (:TYPE-PRESCRIPTION M1-FILE-P))
 (92 92 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (86 86 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (83 7 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (76 76 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (72 72 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (71 71 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (70 24 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (68 68 (:REWRITE DEFAULT-CDR))
 (67 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (57 19 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (53 24 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (48 48 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (48 48 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (48 48 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (46 46 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (46 46 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (46 46 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (38 38 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (38 38 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (28 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (19 19 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (19 19 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (19 19 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (16 16 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (8 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 )
(ADDRS-AT-OF-APPEND-LEMMA-1
 (497976 10326 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (369474 2346 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (362967 7543 (:REWRITE SUBSETP-MEMBER . 4))
 (345626 1447 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (298244 1514 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (295114 5192 (:DEFINITION MEMBER-EQUAL))
 (229324 272 (:REWRITE SUBSETP-OF-CONS))
 (173176 7603 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (161580 11876 (:REWRITE SUBSETP-MEMBER . 2))
 (134615 897 (:REWRITE SUBSETP-OF-REMOVE2))
 (131369 4769 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (101725 754 (:REWRITE REMOVE-WHEN-ABSENT))
 (86514 207 (:REWRITE MEMBER-OF-CONS))
 (83560 2647 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (78384 2834 (:DEFINITION NATP))
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 (66635 47 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (58546 2834 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (56233 2844 (:REWRITE SUBSETP-CAR-MEMBER))
 (51337 1514 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (49224 6679 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (47373 1875 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (45847 2404 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (31550 6472 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (30734 2834 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (28797 17638 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (27221 47 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (26770 5492 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (26770 5492 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
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 (21457 2392 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (19985 770 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (19603 19603 (:REWRITE CONSP-OF-STRIP-CARS))
 (18410 3174 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (17916 8819 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (17901 12638 (:REWRITE DEFAULT-CDR))
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 (14844 1096 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (13891 7543 (:REWRITE INTERSECTP-MEMBER . 3))
 (13358 13358 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (11876 11876 (:REWRITE SUBSETP-MEMBER . 1))
 (11269 3298 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (11268 1643 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (11072 2834 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (10009 5668 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (9876 3621 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (9374 2602 (:REWRITE MEMBER-OF-STRIP-CARS))
 (8470 770 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (8272 8272 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8272 8272 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8184 8184 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
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 )
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 )
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 )
(ADDRS-AT-OF-PUT-ASSOC
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 (71111 5516 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (67705 2660 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (61873 41950 (:REWRITE DEFAULT-CAR))
 (61022 39942 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (56089 2034 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (55605 5053 (:DEFINITION LEN))
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 (37574 36986 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (35839 3381 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (34916 524 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
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 (25122 9134 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (25059 9105 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (23304 48 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-16))
 (23096 23096 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (17777 2856 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (17008 220 (:REWRITE NFIX-WHEN-ZP))
 (16568 220 (:REWRITE ZP-OPEN))
 (16308 2278 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (16001 10661 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (15177 10106 (:REWRITE STR::CONSP-OF-EXPLODE))
 (15164 3665 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (15159 15159 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (14980 660 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (12829 6859 (:REWRITE DEFAULT-<-1))
 (12428 652 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (11678 480 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (11246 171 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (10106 5053 (:REWRITE DEFAULT-+-2))
 (9784 391 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (9105 9105 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (8852 171 (:DEFINITION MEMBER-EQUAL))
 (8830 326 (:DEFINITION PUT-ASSOC-EQUAL))
 (8589 342 (:REWRITE SUBSETP-CAR-MEMBER))
 (8136 8136 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (7994 7994 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (7994 7994 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (7905 1710 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (7153 2660 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (7085 171 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (7063 480 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (6886 6886 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6859 6859 (:REWRITE DEFAULT-<-2))
 (6327 342 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (6102 2034 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6102 2034 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (5919 220 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5714 1012 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5714 1012 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5682 513 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (5585 1313 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (5419 5419 (:TYPE-PRESCRIPTION M1-FILE-P))
 (5336 5336 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (5115 5053 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5053 5053 (:REWRITE DEFAULT-+-1))
 (4768 171 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (4484 1854 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4227 220 (:REWRITE NFIX-WHEN-NATP))
 (4068 4068 (:LINEAR LEN-WHEN-PREFIXP))
 (4068 4068 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3915 684 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (3708 3708 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2907 2907 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2907 171 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (2866 1012 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2668 2668 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2626 342 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (2623 2623 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (2366 402 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2199 220 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2045 2045 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (2034 2034 (:LINEAR POSITION-WHEN-MEMBER))
 (2034 2034 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2008 2008 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (1919 1919 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (1854 1854 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1743 1743 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1631 1310 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (1588 220 (:DEFINITION NATP))
 (1500 1500 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (1434 1434 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1368 171 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (1354 408 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (1158 1158 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1026 513 (:REWRITE SET-EQUIV-ASYM))
 (1010 202 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (992 782 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (970 49 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (950 950 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (880 220 (:DEFINITION NFIX))
 (855 855 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (802 802 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (782 782 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (782 782 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (601 391 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (552 342 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (513 513 (:TYPE-PRESCRIPTION SET-EQUIV))
 (513 513 (:REWRITE SUBSETP-OF-CDR))
 (480 480 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (392 392 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (375 375 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (353 353 (:TYPE-PRESCRIPTION ATOM))
 (342 342 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (342 342 (:REWRITE SUBSETP-TRANS2))
 (342 342 (:REWRITE SUBSETP-TRANS))
 (342 342 (:REWRITE SUBSETP-MEMBER . 2))
 (342 342 (:REWRITE SUBSETP-MEMBER . 1))
 (298 298 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (220 220 (:TYPE-PRESCRIPTION NATP))
 (202 202 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (171 171 (:REWRITE CONS-CAR-CDR))
 (70 70 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE-CONTENTS-FIX))
 (49 49 (:REWRITE ABS-FILE->D-E$INLINE-OF-ABS-FILE-FIX-X))
 (18 3 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (2 2 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 )
(ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1
 (2083 158 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1771 18 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (1495 64 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1329 49 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1195 53 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1170 134 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (947 26 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (758 41 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (718 25 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (710 26 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (674 21 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (530 26 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (502 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (438 6 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (438 3 (:DEFINITION BINARY-APPEND))
 (410 26 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (409 69 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (371 86 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (314 314 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (286 26 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (269 21 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (265 4 (:REWRITE SUBSETP-OF-CONS))
 (261 143 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (258 258 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (258 258 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (256 1 (:REWRITE SUBSETP-APPEND1))
 (255 13 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (250 25 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (172 18 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (167 32 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (165 165 (:TYPE-PRESCRIPTION ABS-FS-P))
 (159 158 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (149 149 (:TYPE-PRESCRIPTION M1-FILE-P))
 (144 16 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (143 143 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (138 34 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (138 34 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (125 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (108 6 (:REWRITE NFIX-WHEN-ZP))
 (97 33 (:REWRITE SUBSETP-TRANS))
 (96 6 (:REWRITE ZP-OPEN))
 (93 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (93 2 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (86 86 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (77 77 (:REWRITE DEFAULT-CAR))
 (72 18 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (72 6 (:REWRITE NFIX-WHEN-NATP))
 (72 5 (:DEFINITION MEMBER-EQUAL))
 (70 18 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (70 18 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (70 5 (:REWRITE SUBSETP-CONS-2))
 (64 64 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (60 60 (:REWRITE DEFAULT-CDR))
 (58 26 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (57 57 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (54 54 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (52 52 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (52 52 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (52 52 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (52 52 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (52 52 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (52 26 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (44 18 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (42 10 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (41 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (36 36 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (36 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (36 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (28 28 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (28 11 (:REWRITE SUBSETP-MEMBER . 2))
 (26 26 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (24 24 (:REWRITE DEFAULT-<-2))
 (24 24 (:REWRITE DEFAULT-<-1))
 (24 8 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (24 6 (:DEFINITION NATP))
 (21 21 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (20 10 (:REWRITE SET-EQUIV-ASYM))
 (20 2 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (14 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (12 12 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 12 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 12 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (12 12 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (11 11 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (8 8 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (6 6 (:TYPE-PRESCRIPTION ZP))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (5 5 (:TYPE-PRESCRIPTION ATOM))
 (2 1 (:REWRITE MEMBER-OF-CONS))
 )
(ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3
 (59 4 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (59 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (45 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (29 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (21 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (19 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (17 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (17 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (13 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (11 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (9 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (8 7 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 1 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (7 7 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (7 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (7 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 1 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 )
(ADDRS-AT-WHEN-ABS-COMPLETE
 (308 11 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (278 26 (:DEFINITION ASSOC-EQUAL))
 (275 13 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (225 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (195 17 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (185 185 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (177 7 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (151 10 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (133 44 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (129 48 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (126 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (122 122 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (116 116 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (114 16 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (102 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (95 95 (:REWRITE DEFAULT-CAR))
 (76 11 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (73 58 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (68 4 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (52 52 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (51 15 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (49 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (48 48 (:REWRITE DEFAULT-CDR))
 (44 44 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (40 5 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (38 38 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (36 12 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (36 12 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (35 7 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (34 34 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (21 7 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (20 10 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (19 19 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (18 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (15 15 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (13 13 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (12 12 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 4 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 )
(CTX-APP
 (266 2 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (218 12 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (200 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (88 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (76 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (68 8 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (54 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (48 48 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (46 4 (:DEFINITION ASSOC-EQUAL))
 (44 4 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (42 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (38 10 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (34 2 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (34 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (26 10 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (26 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (24 24 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (24 22 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (24 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (22 22 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (22 2 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (22 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (20 20 (:TYPE-PRESCRIPTION ABS-FS-P))
 (20 20 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (20 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (20 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (18 12 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (18 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (18 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (16 16 (:REWRITE DEFAULT-CDR))
 (16 16 (:REWRITE DEFAULT-CAR))
 (16 8 (:REWRITE DEFAULT-+-2))
 (16 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (12 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (12 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE DEFAULT-+-1))
 (8 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (4 4 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 2 (:REWRITE DEFAULT-<-1))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 )
(ABS-FILE-ALIST-P-OF-CTX-APP
 (39965 1265 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (27414 265 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (25224 408 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (22004 57 (:REWRITE REMOVE-WHEN-ABSENT))
 (21374 131 (:DEFINITION MEMBER-EQUAL))
 (21127 19 (:DEFINITION REMOVE-EQUAL))
 (19106 488 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (14473 390 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (13654 200 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (11808 168 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (11088 362 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (10784 120 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (10684 240 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (9771 3 (:REWRITE ABS-FS-P-OF-APPEND))
 (9322 536 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (8590 725 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (8016 27 (:REWRITE SUBSETP-OF-REMOVE1))
 (7352 510 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (7169 166 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (6849 6 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (5820 229 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (5382 27 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (4754 64 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4151 1467 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4096 2524 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (3673 231 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3573 21 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (3312 15 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (3132 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (2974 536 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2614 789 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2586 72 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (2530 56 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (2382 226 (:DEFINITION ASSOC-EQUAL))
 (2268 33 (:REWRITE SUBSETP-OF-REMOVE2))
 (2052 3 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (2037 9 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (1956 6 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (1901 1265 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1752 65 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1695 12 (:REWRITE CONSP-OF-APPEND))
 (1680 240 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1594 244 (:REWRITE SUBSETP-MEMBER . 4))
 (1590 64 (:DEFINITION NATP))
 (1518 1518 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1500 12 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (1486 24 (:REWRITE EQUAL-OF-ABS-FILE))
 (1467 1467 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1418 1292 (:REWRITE DEFAULT-CAR))
 (1383 21 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (1338 446 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1338 446 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1317 9 (:REWRITE MEMBER-OF-REMOVE))
 (1284 144 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1284 144 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1236 54 (:REWRITE SUBSETP-CAR-MEMBER))
 (1182 54 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1161 9 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (1149 162 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1139 1139 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1096 246 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1095 54 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1082 1082 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1060 212 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1047 1047 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1032 3 (:REWRITE ABS-ADDRS-OF-APPEND))
 (992 28 (:DEFINITION PUT-ASSOC-EQUAL))
 (972 972 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (960 22 (:DEFINITION BINARY-APPEND))
 (957 77 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (934 16 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (921 858 (:REWRITE DEFAULT-CDR))
 (904 96 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (885 18 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (837 837 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (828 3 (:REWRITE REMOVE-OF-STRIP-CARS-OF-REMOVE))
 (789 789 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (747 390 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (738 474 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (728 156 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (630 54 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (609 229 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (544 544 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (536 236 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (524 524 (:TYPE-PRESCRIPTION M1-FILE-P))
 (519 519 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (504 76 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (492 144 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (486 237 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (472 472 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (456 243 (:REWRITE CONSP-OF-STRIP-CARS))
 (446 446 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (446 446 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (399 15 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (396 36 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (391 232 (:REWRITE MEMBER-WHEN-ATOM))
 (377 173 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (372 81 (:DEFINITION STRIP-CARS))
 (372 6 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (306 18 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (286 274 (:REWRITE SUBSETP-MEMBER . 2))
 (276 276 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (275 173 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (270 60 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (270 60 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (251 179 (:REWRITE SUBSETP-TRANS))
 (244 244 (:REWRITE INTERSECTP-MEMBER . 3))
 (244 244 (:REWRITE INTERSECTP-MEMBER . 2))
 (242 121 (:REWRITE SET-EQUIV-ASYM))
 (218 218 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (216 12 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (212 212 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (212 44 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (209 179 (:REWRITE SUBSETP-TRANS2))
 (195 15 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (177 39 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (168 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (162 162 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (156 8 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (153 108 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (150 15 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (144 144 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (144 54 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (144 24 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (139 139 (:TYPE-PRESCRIPTION SET-EQUIV))
 (135 135 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (130 6 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (126 18 (:REWRITE ABS-FILE->CONTENTS-OF-ABS-FILE))
 (108 108 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (108 108 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (100 100 (:REWRITE SUBSETP-OF-CDR))
 (100 8 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (96 12 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (84 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (78 78 (:REWRITE DEFAULT-<-2))
 (78 78 (:REWRITE DEFAULT-<-1))
 (72 72 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (72 36 (:DEFINITION NULL))
 (72 24 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (68 68 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (66 24 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (64 64 (:TYPE-PRESCRIPTION NATP))
 (62 62 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (60 60 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (60 60 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (60 60 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (60 60 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (60 30 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (60 18 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 2))
 (60 6 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (60 6 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (60 6 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (45 45 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (39 39 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (36 36 (:TYPE-PRESCRIPTION NULL))
 (36 6 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (36 6 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (34 34 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (30 30 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (30 30 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (30 30 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (30 30 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (30 6 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 1))
 (30 6 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (28 18 (:REWRITE ZP-OPEN))
 (24 24 (:TYPE-PRESCRIPTION D-E-P))
 (24 24 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (24 8 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (24 6 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (21 21 (:REWRITE MEMBER-OF-STRIP-CARS))
 (18 6 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (15 3 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (14 14 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (12 12 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (12 12 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3))
 (12 12 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 1))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (6 6 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (6 6 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (6 6 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (6 6 (:REWRITE ADDRS-AT-OF-APPEND-LEMMA-1))
 )
(CTX-APP
 (3010 68 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1497 41 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1425 39 (:DEFINITION MEMBER-EQUAL))
 (1396 14 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1325 38 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1156 4 (:DEFINITION ABS-FILE-ALIST-P))
 (950 950 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (829 62 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (802 9 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (731 1 (:DEFINITION REMOVE-EQUAL))
 (727 3 (:REWRITE REMOVE-WHEN-ABSENT))
 (596 19 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (561 11 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (506 38 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (499 60 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (486 38 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (272 37 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (243 64 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (231 114 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (228 38 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (220 20 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (199 3 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (176 56 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (171 11 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (171 11 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (149 20 (:DEFINITION ASSOC-EQUAL))
 (136 136 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (132 78 (:REWRITE SUBSETP-MEMBER . 1))
 (129 117 (:REWRITE DEFAULT-CDR))
 (125 125 (:REWRITE DEFAULT-CAR))
 (124 4 (:REWRITE LENGTH-WHEN-STRINGP))
 (114 114 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (98 98 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (91 38 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (88 41 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (88 6 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (78 78 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (78 78 (:REWRITE SUBSETP-MEMBER . 2))
 (71 68 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (64 48 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (60 60 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (60 60 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (53 53 (:REWRITE SUBSETP-TRANS2))
 (53 53 (:REWRITE SUBSETP-TRANS))
 (52 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (46 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (44 4 (:DEFINITION LEN))
 (42 42 (:TYPE-PRESCRIPTION M1-FILE-P))
 (41 41 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (40 40 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (40 20 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (40 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (40 4 (:DEFINITION UNSIGNED-BYTE-P))
 (40 4 (:DEFINITION ALISTP))
 (36 4 (:DEFINITION INTEGER-RANGE-P))
 (32 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (31 31 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (31 31 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (31 11 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (24 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (24 4 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (22 14 (:REWRITE DEFAULT-<-1))
 (20 20 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (20 20 (:TYPE-PRESCRIPTION ALISTP))
 (20 20 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (20 8 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (16 16 (:TYPE-PRESCRIPTION STRIP-CARS))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (16 4 (:DEFINITION STRIP-CARS))
 (16 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (14 14 (:REWRITE SUBSETP-MEMBER . 4))
 (14 14 (:REWRITE SUBSETP-MEMBER . 3))
 (14 14 (:REWRITE MEMBER-WHEN-ATOM))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 3))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 2))
 (14 14 (:REWRITE DEFAULT-<-2))
 (12 12 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (12 8 (:REWRITE STR::CONSP-OF-EXPLODE))
 (12 4 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (9 9 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (8 8 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (8 8 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 4 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (8 4 (:REWRITE DEFAULT-+-2))
 (8 4 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5 2 (:REWRITE NFIX-WHEN-ZP))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4 4 (:REWRITE DEFAULT-+-1))
 (3 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE ZP-OPEN))
 )
(CTX-APP-OF-FAT32-FILENAME-LIST-FIX
 (232689 6826 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (196933 562 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (194552 2337 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (162773 89 (:DEFINITION REMOVE-EQUAL))
 (162397 267 (:REWRITE REMOVE-WHEN-ABSENT))
 (158676 8626 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (130196 275 (:DEFINITION MEMBER-EQUAL))
 (117024 3267 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (113623 2370 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (107872 1165 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (105019 1343 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (98034 1028 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (58981 2253 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (53888 2337 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (41356 846 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (38915 4112 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (38176 3183 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (31742 228 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (30722 995 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (19690 3183 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (19236 1187 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (18769 7011 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (16948 13492 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (16590 2370 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (15681 1497 (:DEFINITION ASSOC-EQUAL))
 (15580 298 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (13990 1028 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (13990 1028 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (13652 13652 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (13492 13492 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (13399 995 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (12320 3886 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
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 (11268 1832 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9910 9910 (:TYPE-PRESCRIPTION ABS-FS-P))
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 (9739 2094 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (9637 6826 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (9342 3114 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (9342 3114 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9160 1832 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (8437 149 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (8016 8016 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8005 8005 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (7089 451 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (7011 7011 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6664 6664 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6528 816 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (6122 6116 (:REWRITE DEFAULT-CAR))
 (5936 5936 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (5206 149 (:DEFINITION PUT-ASSOC-EQUAL))
 (4740 4740 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4696 2337 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (4025 3881 (:REWRITE DEFAULT-CDR))
 (3888 3888 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3886 3886 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3664 3664 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (3450 3450 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3292 3292 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3144 469 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (3114 3114 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (3114 3114 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2860 1028 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2836 995 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2370 2370 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (2068 79 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1894 1192 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1894 1192 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1832 1832 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1832 1832 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1204 1204 (:REWRITE SUBSETP-TRANS2))
 (1204 1204 (:REWRITE SUBSETP-TRANS))
 (1194 1194 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (816 816 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (816 816 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (712 356 (:REWRITE SET-EQUIV-ASYM))
 (604 550 (:REWRITE MEMBER-WHEN-ATOM))
 (601 33 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (597 597 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (582 79 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
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 (562 562 (:REWRITE INTERSECTP-MEMBER . 3))
 (562 562 (:REWRITE INTERSECTP-MEMBER . 2))
 (556 556 (:REWRITE SUBSETP-MEMBER . 2))
 (550 30 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (534 89 (:DEFINITION BINARY-APPEND))
 (447 447 (:TYPE-PRESCRIPTION ABS-FILE))
 (447 149 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (445 445 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (445 178 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (438 56 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (432 72 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (356 356 (:TYPE-PRESCRIPTION SET-EQUIV))
 (356 356 (:REWRITE SUBSETP-OF-CDR))
 (302 302 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (298 298 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (261 261 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (228 228 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (149 149 (:TYPE-PRESCRIPTION D-E-P))
 (149 149 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (112 112 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (81 61 (:REWRITE ZP-OPEN))
 (79 79 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (79 79 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (63 56 (:REWRITE DEFAULT-<-1))
 (56 56 (:REWRITE DEFAULT-<-2))
 (48 16 (:DEFINITION NATP))
 (16 16 (:TYPE-PRESCRIPTION NATP))
 (7 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(FAT32-FILENAME-LIST-EQUIV-IMPLIES-EQUAL-CTX-APP-4
 (12 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(CTX-APP-OF-NFIX
 (60894 2145 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (52260 190 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (51166 659 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (43662 30 (:DEFINITION REMOVE-EQUAL))
 (43510 90 (:REWRITE REMOVE-WHEN-ABSENT))
 (34438 89 (:DEFINITION MEMBER-EQUAL))
 (33749 2163 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (29996 449 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (24326 389 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (22706 614 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (21184 222 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (20096 420 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (16958 791 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (14866 659 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (12943 276 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
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 (9905 1128 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (9450 324 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (9090 64 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6286 398 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (5563 1977 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5200 935 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5044 96 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (4745 4032 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4365 324 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (4342 1323 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4290 4290 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4200 394 (:DEFINITION ASSOC-EQUAL))
 (4032 4032 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (3152 48 (:REWRITE EQUAL-OF-ABS-FILE))
 (2998 222 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2998 222 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2940 420 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (2880 2145 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2720 48 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (2690 2690 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2412 804 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2412 804 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2384 396 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2334 528 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2014 2014 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1992 249 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1988 420 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1980 396 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1977 1977 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1966 1966 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1888 1888 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1742 198 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1736 1736 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1703 1703 (:REWRITE DEFAULT-CAR))
 (1700 48 (:DEFINITION PUT-ASSOC-EQUAL))
 (1492 1492 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1482 102 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1323 1323 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1156 659 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1069 1069 (:REWRITE DEFAULT-CDR))
 (1029 1029 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (960 146 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (924 324 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (884 884 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (840 840 (:TYPE-PRESCRIPTION M1-FILE-P))
 (840 840 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (804 804 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (804 804 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (792 792 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (618 222 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (559 27 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (508 24 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (420 420 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (396 396 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (396 396 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (396 396 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (350 14 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
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 (324 216 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (320 320 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (249 249 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (249 249 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
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 (228 228 (:REWRITE SUBSETP-TRANS))
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 (190 190 (:REWRITE INTERSECTP-MEMBER . 2))
 (184 184 (:REWRITE SUBSETP-MEMBER . 2))
 (180 30 (:DEFINITION BINARY-APPEND))
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 (150 60 (:REWRITE APPEND-WHEN-NOT-CONSP))
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 (102 102 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (102 14 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
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 (86 86 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (84 14 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (72 27 (:REWRITE ZP-OPEN))
 (62 62 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (55 51 (:REWRITE DEFAULT-<-1))
 (51 51 (:REWRITE DEFAULT-<-2))
 (48 48 (:TYPE-PRESCRIPTION D-E-P))
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 (14 14 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (14 14 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (9 9 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(NAT-EQUIV-IMPLIES-EQUAL-CTX-APP-3
 (20 20 (:TYPE-PRESCRIPTION ZP))
 (12 4 (:DEFINITION NATP))
 (10 10 (:REWRITE ZP-OPEN))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE DEFAULT-<-1))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(CTX-APP-OF-ABS-FS-FIX-1
 (32489 1176 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (29688 112 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (28962 358 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (24762 18 (:DEFINITION REMOVE-EQUAL))
 (24670 54 (:REWRITE REMOVE-WHEN-ABSENT))
 (18895 50 (:DEFINITION MEMBER-EQUAL))
 (18481 1204 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (17156 266 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (13616 230 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (10870 338 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (10618 108 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (9327 426 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (7883 358 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (7006 150 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (5564 604 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5560 508 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (4642 166 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (4156 34 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2830 1074 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2828 508 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2385 724 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2352 2352 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2288 166 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2088 196 (:DEFINITION ASSOC-EQUAL))
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 (1536 1176 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1320 440 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1320 440 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1168 108 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1168 108 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
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 (996 996 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
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 (924 228 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (914 242 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (888 16 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (884 96 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (848 848 (:REWRITE DEFAULT-CAR))
 (792 792 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (737 737 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (724 724 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (704 20 (:DEFINITION PUT-ASSOC-EQUAL))
 (618 358 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (544 544 (:REWRITE DEFAULT-CDR))
 (492 74 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (488 204 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (482 166 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (440 440 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (440 440 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (432 432 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (432 36 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (420 420 (:TYPE-PRESCRIPTION M1-FILE-P))
 (408 408 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
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 (204 204 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (204 204 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (204 204 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (164 164 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
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 (132 132 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (132 132 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
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 (112 112 (:REWRITE INTERSECTP-MEMBER . 3))
 (112 112 (:REWRITE INTERSECTP-MEMBER . 2))
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 (106 106 (:REWRITE SUBSETP-MEMBER . 2))
 (90 90 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (90 36 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (82 82 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (72 72 (:TYPE-PRESCRIPTION SET-EQUIV))
 (72 72 (:REWRITE SUBSETP-OF-CDR))
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 (56 56 (:REWRITE DEFAULT-<-1))
 (52 52 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
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 (48 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (40 40 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
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 (16 16 (:TYPE-PRESCRIPTION D-E-P))
 (16 16 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-P))
 )
(CTX-APP-OF-ABS-FS-FIX-2
 (22575 892 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (20788 88 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (20168 258 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (17606 14 (:DEFINITION REMOVE-EQUAL))
 (17530 42 (:REWRITE REMOVE-WHEN-ABSENT))
 (13235 38 (:DEFINITION MEMBER-EQUAL))
 (12376 206 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (11147 808 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (8620 178 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (6809 340 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6272 64 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (5648 176 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (5603 258 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5320 120 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (5294 116 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (3944 374 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3792 428 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3456 128 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (3204 28 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2116 774 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1976 374 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1897 568 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1842 1628 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1784 1784 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1762 128 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1628 1628 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1512 140 (:DEFINITION ASSOC-EQUAL))
 (1348 32 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1138 892 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (912 304 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (912 304 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (840 120 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (784 98 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (776 12 (:REWRITE EQUAL-OF-ABS-FILE))
 (774 774 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (772 772 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (724 180 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (704 704 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (704 64 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (704 64 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (668 12 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (640 640 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (608 608 (:REWRITE DEFAULT-CAR))
 (600 120 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (568 568 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (568 16 (:DEFINITION PUT-ASSOC-EQUAL))
 (564 60 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (549 549 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (520 520 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (496 120 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (434 434 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (412 258 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (392 392 (:REWRITE DEFAULT-CDR))
 (372 128 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (346 18 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (336 28 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (320 120 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (312 312 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (312 48 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (304 304 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (304 304 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (248 248 (:TYPE-PRESCRIPTION M1-FILE-P))
 (244 12 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (240 240 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (240 240 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (184 64 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (120 120 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (120 120 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (120 120 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (120 120 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (112 56 (:REWRITE SET-EQUIV-ASYM))
 (104 104 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (98 98 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (98 98 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (94 76 (:REWRITE MEMBER-WHEN-ATOM))
 (88 88 (:REWRITE SUBSETP-MEMBER . 4))
 (88 88 (:REWRITE INTERSECTP-MEMBER . 3))
 (88 88 (:REWRITE INTERSECTP-MEMBER . 2))
 (84 14 (:DEFINITION BINARY-APPEND))
 (82 82 (:REWRITE SUBSETP-MEMBER . 2))
 (70 70 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (70 28 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (56 56 (:TYPE-PRESCRIPTION SET-EQUIV))
 (56 56 (:REWRITE SUBSETP-OF-CDR))
 (54 18 (:DEFINITION NATP))
 (52 52 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (48 48 (:REWRITE DEFAULT-<-2))
 (48 48 (:REWRITE DEFAULT-<-1))
 (46 26 (:REWRITE ZP-OPEN))
 (44 44 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (40 40 (:REWRITE SUBSETP-TRANS2))
 (40 40 (:REWRITE SUBSETP-TRANS))
 (36 36 (:TYPE-PRESCRIPTION ABS-FILE))
 (36 12 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (32 32 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (28 28 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (28 28 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 4 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (24 24 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (24 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (18 18 (:TYPE-PRESCRIPTION NATP))
 (16 16 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 16 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION D-E-P))
 (12 12 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (12 4 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-P))
 )
(CTX-APP-OK)
(FAT32-FILENAME-LIST-EQUIV-IMPLIES-EQUAL-CTX-APP-OK-3)
(CTX-APP-OK-OF-ABS-FS-FIX-1)
(CTX-APP-OK-OF-NFIX)
(NAT-EQUIV-IMPLIES-EQUAL-CTX-APP-OK-2
 (20 20 (:TYPE-PRESCRIPTION ZP))
 (12 4 (:DEFINITION NATP))
 (10 10 (:REWRITE ZP-OPEN))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE DEFAULT-<-1))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(CTX-APP-OK-WHEN-ABS-COMPLETE-LEMMA-2
 (53117 2510 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (35830 2330 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (34460 713 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (34372 320 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (29703 446 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (26828 1190 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (22210 387 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (19434 818 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (14767 378 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (12339 463 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (11940 1072 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (11879 363 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (11095 312 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (9608 49 (:DEFINITION BINARY-APPEND))
 (9288 98 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (8214 235 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (8148 2716 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7303 509 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (6954 320 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (6744 266 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (6388 16 (:REWRITE SUBSETP-APPEND1))
 (5087 1149 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5084 262 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (5020 5020 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4197 4197 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (3809 671 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3580 618 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (3375 1793 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3289 671 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3258 378 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3119 3119 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2980 868 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2847 260 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2607 2607 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2510 2510 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1998 133 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1793 1793 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1736 1736 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1616 464 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1616 464 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1539 671 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1294 120 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1287 1287 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1166 430 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1149 1149 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1129 98 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (868 868 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (868 868 (:REWRITE DEFAULT-CAR))
 (856 44 (:REWRITE NFIX-WHEN-ZP))
 (836 836 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (836 836 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (821 821 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (780 260 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (768 44 (:REWRITE ZP-OPEN))
 (698 200 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (678 678 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (618 266 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (592 132 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (576 576 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (576 576 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (532 44 (:REWRITE NFIX-WHEN-NATP))
 (441 289 (:REWRITE SUBSETP-TRANS))
 (406 4 (:REWRITE SUBSETP-OF-CONS))
 (396 396 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (380 380 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (312 48 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (300 2 (:REWRITE CONSP-OF-APPEND))
 (268 44 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (260 260 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (176 176 (:REWRITE DEFAULT-<-2))
 (176 176 (:REWRITE DEFAULT-<-1))
 (176 44 (:DEFINITION NATP))
 (132 12 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (96 96 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (96 96 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (96 96 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (67 67 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (67 67 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (48 48 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (45 45 (:TYPE-PRESCRIPTION ATOM))
 (44 44 (:TYPE-PRESCRIPTION NATP))
 (41 1 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (40 4 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (38 5 (:DEFINITION MEMBER-EQUAL))
 (28 8 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (28 4 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (28 1 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (26 13 (:REWRITE SET-EQUIV-ASYM))
 (22 22 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (15 15 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (13 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (12 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (11 11 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(CTX-APP-OK-WHEN-ABS-COMPLETE-LEMMA-4
 (22799 46 (:DEFINITION ABS-ADDRS))
 (19977 657 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (12775 155 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (12099 289 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (9976 189 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9519 654 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (8761 49 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (7717 344 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6404 15 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (6054 101 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (4410 393 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3665 268 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3650 75 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (3644 46 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (3584 74 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (3075 46 (:DEFINITION BINARY-APPEND))
 (2913 101 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (2434 261 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2198 92 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (2064 72 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (1994 77 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1981 42 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1961 849 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1705 268 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1343 105 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (1314 1314 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1193 366 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1176 150 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1176 150 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1092 75 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1086 72 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1024 280 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1011 42 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (966 46 (:REWRITE NFIX-WHEN-ZP))
 (874 46 (:REWRITE ZP-OPEN))
 (859 859 (:TYPE-PRESCRIPTION M1-FILE-P))
 (849 849 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (840 30 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (811 251 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (811 251 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (768 657 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (660 138 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (636 46 (:REWRITE NFIX-WHEN-NATP))
 (583 79 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (560 560 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (547 547 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (538 538 (:REWRITE DEFAULT-CAR))
 (485 485 (:REWRITE DEFAULT-CDR))
 (484 484 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (430 150 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (423 39 (:DEFINITION ASSOC-EQUAL))
 (406 406 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (390 78 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (366 366 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (352 352 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (330 46 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (330 46 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (322 92 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (318 35 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (284 26 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (280 280 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (280 280 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (280 280 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (272 155 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (258 46 (:DEFINITION NFIX))
 (216 72 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (214 46 (:DEFINITION NATP))
 (184 184 (:REWRITE DEFAULT-<-2))
 (184 184 (:REWRITE DEFAULT-<-1))
 (180 30 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (175 32 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (168 30 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (162 24 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (144 144 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (113 6 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (92 92 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (92 92 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (92 92 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (79 79 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (79 79 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (78 78 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (78 78 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (78 78 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (74 74 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (50 50 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (49 49 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (46 46 (:TYPE-PRESCRIPTION NATP))
 (46 46 (:TYPE-PRESCRIPTION ATOM))
 (46 46 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION ADDRS-AT))
 (42 42 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (42 35 (:REWRITE SUBSETP-TRANS2))
 (39 13 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (27 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (13 13 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (12 12 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (9 9 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 )
(CTX-APP-OK-WHEN-ABS-COMPLETE
 (68 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (59 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (45 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (45 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (42 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (38 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (34 4 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (34 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (31 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (24 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (19 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (14 14 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (13 5 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (12 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (12 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (11 3 (:REWRITE NFIX-WHEN-NATP))
 (10 10 (:TYPE-PRESCRIPTION ABS-FS-P))
 (10 7 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (9 3 (:REWRITE NFIX-WHEN-ZP))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 1 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (6 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:DEFINITION NATP))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE ZP-OPEN))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(CTX-APP-OK-WHEN-NOT-NATP
 (911 8 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (308 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (273 7 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (175 14 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (168 35 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (168 14 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (147 7 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (133 7 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (119 14 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (119 7 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (112 112 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (105 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (98 98 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (91 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (70 70 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (70 56 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (70 21 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (63 21 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (56 56 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (56 35 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (56 7 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (49 21 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (42 14 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (42 14 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (35 35 (:TYPE-PRESCRIPTION ABS-FS-P))
 (28 28 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (21 21 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (21 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (21 7 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (14 14 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (14 14 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (14 14 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (14 14 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (14 14 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (14 7 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(CTX-APP-WHEN-NOT-CTX-APP-OK
 (27959 915 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (22048 317 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (17979 31 (:DEFINITION MEMBER-EQUAL))
 (17683 1083 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (15700 372 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (14960 192 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (14038 115 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (13919 7 (:DEFINITION REMOVE-EQUAL))
 (13877 21 (:REWRITE REMOVE-WHEN-ABSENT))
 (8444 101 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (7330 74 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6627 339 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (6119 134 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (5678 333 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4384 590 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (4288 42 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (4132 427 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3948 140 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2782 270 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2596 427 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2156 206 (:DEFINITION ASSOC-EQUAL))
 (2075 408 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2026 192 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2026 192 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1961 140 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1830 1830 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1788 547 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1606 93 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1520 304 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1326 915 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1236 304 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1224 408 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1224 408 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1208 1208 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1198 118 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1061 1061 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (968 121 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (933 933 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (904 904 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (874 874 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (818 818 (:REWRITE DEFAULT-CAR))
 (730 12 (:REWRITE EQUAL-OF-ABS-FILE))
 (702 36 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (696 96 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (688 688 (:TYPE-PRESCRIPTION M1-FILE-P))
 (630 339 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (608 608 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (604 334 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (604 334 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (579 547 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (578 12 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (496 192 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (488 488 (:REWRITE DEFAULT-CDR))
 (482 482 (:TYPE-PRESCRIPTION ADDRS-AT))
 (432 432 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (408 408 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (408 408 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (406 140 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (348 10 (:DEFINITION PUT-ASSOC-EQUAL))
 (338 338 (:REWRITE SUBSETP-TRANS2))
 (338 338 (:REWRITE SUBSETP-TRANS))
 (304 304 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (304 304 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (304 304 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (232 232 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (157 33 (:REWRITE NFIX-WHEN-NATP))
 (152 10 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (126 33 (:REWRITE NFIX-WHEN-ZP))
 (121 121 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (121 121 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (120 20 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (116 116 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (99 99 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (96 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 1))
 (95 62 (:REWRITE MEMBER-WHEN-ATOM))
 (93 31 (:DEFINITION NATP))
 (90 5 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (66 66 (:REWRITE SUBSETP-MEMBER . 4))
 (66 66 (:REWRITE INTERSECTP-MEMBER . 3))
 (66 66 (:REWRITE INTERSECTP-MEMBER . 2))
 (65 65 (:REWRITE SUBSETP-MEMBER . 2))
 (56 28 (:REWRITE SET-EQUIV-ASYM))
 (54 54 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (42 14 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (42 7 (:DEFINITION BINARY-APPEND))
 (40 40 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (38 38 (:TYPE-PRESCRIPTION ABS-FILE))
 (36 12 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (35 14 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (31 31 (:TYPE-PRESCRIPTION NATP))
 (31 31 (:REWRITE ZP-OPEN))
 (31 31 (:REWRITE DEFAULT-<-2))
 (31 31 (:REWRITE DEFAULT-<-1))
 (30 30 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (28 28 (:TYPE-PRESCRIPTION SET-EQUIV))
 (28 28 (:REWRITE SUBSETP-OF-CDR))
 (22 22 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (14 14 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (12 12 (:TYPE-PRESCRIPTION D-E-P))
 (12 12 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 )
(CTX-APP-WHEN-NOT-NATP
 (143 2 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (137 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (133 2 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (44 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (41 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (25 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (24 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (24 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (21 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (19 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (17 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (17 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (15 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (13 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (11 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (10 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 1 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (7 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (2 1 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(NULL-ADDRS-AT-WHEN-STRINGP
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 )
(NOT-CTX-APP-OK-WHEN-STRINGP)
(ABS-ADDRS-OF-CTX-APP-1-LEMMA-1
 (86355 5648 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (60595 4679 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (54594 458 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (52028 688 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (41689 889 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (35739 2384 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (32208 1938 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (31893 461 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (30757 1137 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (29789 1368 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (27906 455 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (26456 1358 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (24680 535 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (24629 802 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (22930 435 (:DEFINITION MEMBER-EQUAL))
 (19395 802 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (18085 745 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (16425 802 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (15365 3144 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (15337 432 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (14630 88 (:DEFINITION BINARY-APPEND))
 (13938 152 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (11727 1078 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (11420 458 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (11284 11284 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (9884 290 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (9795 262 (:REWRITE ABS-FS-P-OF-REMOVE))
 (9700 9504 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (9504 9504 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (9286 676 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (9130 288 (:REWRITE SUBSETP-CAR-MEMBER))
 (7639 27 (:REWRITE SUBSETP-OF-CONS))
 (7592 462 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (6782 3021 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6248 16 (:REWRITE SUBSETP-OF-REMOVE1))
 (5914 5643 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5523 290 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (5479 5479 (:TYPE-PRESCRIPTION ABS-FS-P))
 (5129 1078 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4831 781 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4590 111 (:REWRITE ABS-TOP-ADDRS-OF-REMOVE))
 (4246 535 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3603 1154 (:REWRITE SUBSETP-TRANS))
 (3144 3144 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3127 3127 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3021 3021 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2546 880 (:REWRITE SUBSETP-MEMBER . 2))
 (2448 745 (:REWRITE SUBSETP-MEMBER . 4))
 (2440 5 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (2279 85 (:REWRITE ZP-OPEN))
 (2242 2237 (:REWRITE DEFAULT-CDR))
 (2022 570 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2022 570 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1994 1983 (:REWRITE DEFAULT-CAR))
 (1942 256 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1901 594 (:DEFINITION NATP))
 (1801 176 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1776 460 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1776 460 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1583 1583 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1420 606 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1230 1 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-RIGHT))
 (1212 1212 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1194 728 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1170 134 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1157 1157 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1066 460 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1013 1013 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (908 908 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (900 852 (:REWRITE DEFAULT-<-1))
 (894 80 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (880 880 (:REWRITE SUBSETP-MEMBER . 1))
 (852 852 (:REWRITE DEFAULT-<-2))
 (837 837 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (761 40 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (745 745 (:REWRITE SUBSETP-MEMBER . 3))
 (745 745 (:REWRITE INTERSECTP-MEMBER . 3))
 (745 745 (:REWRITE INTERSECTP-MEMBER . 2))
 (732 732 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (730 730 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (726 726 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (726 726 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (718 290 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (658 122 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (606 606 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (604 84 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (594 594 (:TYPE-PRESCRIPTION NATP))
 (542 271 (:REWRITE SET-EQUIV-ASYM))
 (472 44 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (336 71 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (326 88 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (291 2 (:REWRITE CONSP-OF-APPEND))
 (262 262 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (262 262 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (262 262 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (200 200 (:REWRITE SUBSETP-OF-CDR))
 (177 10 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (163 29 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (134 134 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (132 6 (:REWRITE MEMBER-OF-REMOVE))
 (118 10 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (114 114 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (110 5 (:REWRITE SUBSETP-OF-REMOVE2))
 (85 85 (:TYPE-PRESCRIPTION ZP))
 (85 85 (:TYPE-PRESCRIPTION ATOM))
 (58 58 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (54 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (36 2 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (32 4 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (31 31 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (31 31 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (31 31 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (31 31 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (28 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (28 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (26 26 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (26 6 (:REWRITE ABS-FS-FIX-OF-REMOVE-EQUAL))
 (22 4 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (15 3 (:REWRITE MEMBER-OF-CONS))
 (13 13 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (10 2 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (8 1 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-LEFT))
 (4 4 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (4 4 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 )
(ABS-ADDRS-OF-CTX-APP-LEMMA-6
 (53534 2729 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (33479 2406 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (30811 291 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (29506 1132 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (27202 669 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (25581 352 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (24730 405 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (23393 679 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (18100 142 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (17737 721 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (17726 430 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (17499 609 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (13879 79 (:DEFINITION MEMBER-EQUAL))
 (13135 356 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (12774 1173 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (11474 391 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (9923 277 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (8811 2937 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (8783 86 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (8624 220 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (8573 529 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (8134 59 (:DEFINITION BINARY-APPEND))
 (7308 3731 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6805 1395 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5458 5458 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4778 4730 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4730 4730 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4363 291 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (4151 549 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (4104 214 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (3996 603 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (3819 636 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3806 276 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (3772 175 (:DEFINITION NATP))
 (3654 126 (:REWRITE SUBSETP-CAR-MEMBER))
 (3483 554 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (3331 636 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3316 356 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3209 2729 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3170 866 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3129 276 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (2966 2966 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2758 2758 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2331 126 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (2088 186 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1928 112 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1910 175 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1732 1732 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1634 450 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1634 450 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1608 12 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (1502 636 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1395 1395 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1346 49 (:REWRITE NFIX-WHEN-ZP))
 (1308 162 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1287 1287 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1248 49 (:REWRITE ZP-OPEN))
 (1216 112 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1179 409 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1148 1148 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1044 1029 (:REWRITE DEFAULT-CAR))
 (866 866 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (836 836 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (836 836 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (764 764 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (741 741 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (740 49 (:REWRITE NFIX-WHEN-NATP))
 (734 222 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (732 244 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (691 14 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (592 592 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (592 592 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (554 118 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (539 539 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (522 214 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (507 162 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (452 452 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (378 189 (:REWRITE SET-EQUIV-ASYM))
 (369 369 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (369 369 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (369 369 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (325 325 (:REWRITE DEFAULT-<-2))
 (325 325 (:REWRITE DEFAULT-<-1))
 (244 244 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (234 6 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (225 225 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (225 225 (:REWRITE SUBSETP-TRANS2))
 (225 225 (:REWRITE SUBSETP-TRANS))
 (222 142 (:REWRITE MEMBER-WHEN-ATOM))
 (189 189 (:TYPE-PRESCRIPTION SET-EQUIV))
 (186 186 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (175 175 (:TYPE-PRESCRIPTION NATP))
 (158 158 (:REWRITE SUBSETP-MEMBER . 2))
 (158 158 (:REWRITE SUBSETP-MEMBER . 1))
 (152 8 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (142 142 (:REWRITE SUBSETP-MEMBER . 4))
 (142 142 (:REWRITE SUBSETP-MEMBER . 3))
 (142 142 (:REWRITE INTERSECTP-MEMBER . 3))
 (142 142 (:REWRITE INTERSECTP-MEMBER . 2))
 (136 8 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (126 126 (:REWRITE SUBSETP-OF-CDR))
 (104 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (80 80 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (80 80 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (80 16 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (63 63 (:REWRITE SUBSETP-REFL))
 (58 58 (:TYPE-PRESCRIPTION ATOM))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 1))
 )
(ABS-ADDRS-OF-CTX-APP-1-LEMMA-5
 (907 1 (:DEFINITION ABS-ADDRS))
 (527 40 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (470 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (331 17 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (312 11 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (295 34 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (221 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (195 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (190 1 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (176 5 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (174 7 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (147 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (146 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (146 1 (:DEFINITION BINARY-APPEND))
 (129 7 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (114 38 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (102 17 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (98 7 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (87 21 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (83 5 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (80 80 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (68 1 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (63 63 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (63 63 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (62 3 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (55 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (51 3 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (47 26 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (43 8 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (41 41 (:TYPE-PRESCRIPTION M1-FILE-P))
 (41 41 (:TYPE-PRESCRIPTION ABS-FS-P))
 (41 4 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (40 40 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (36 4 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (36 3 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (35 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (33 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (30 5 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (28 17 (:REWRITE DEFAULT-CDR))
 (27 7 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (27 7 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (26 26 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (26 5 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (22 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (21 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (20 1 (:DEFINITION ATOM))
 (19 19 (:REWRITE DEFAULT-CAR))
 (19 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (18 1 (:REWRITE NFIX-WHEN-ZP))
 (16 16 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (16 1 (:REWRITE ZP-OPEN))
 (15 7 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (13 5 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (13 3 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 3 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (12 1 (:REWRITE NFIX-WHEN-NATP))
 (12 1 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (11 11 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (10 10 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (10 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (9 9 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (7 1 (:DEFINITION ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (6 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (6 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (6 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 1 (:DEFINITION NFIX))
 (4 1 (:DEFINITION NATP))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE SUBSETP-TRANS2))
 (3 3 (:REWRITE SUBSETP-TRANS))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (1 1 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(ABS-ADDRS-OF-CTX-APP-1-LEMMA-6
 (907 1 (:DEFINITION ABS-ADDRS))
 (526 39 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (470 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (331 17 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (312 11 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (295 34 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (199 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (195 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (190 1 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (176 5 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (174 7 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (146 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (146 1 (:DEFINITION BINARY-APPEND))
 (140 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (129 7 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (114 38 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (102 17 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (98 7 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (87 21 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (83 5 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (78 78 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (75 40 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (63 63 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (63 63 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (62 3 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (44 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (43 8 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (41 41 (:TYPE-PRESCRIPTION M1-FILE-P))
 (41 41 (:TYPE-PRESCRIPTION ABS-FS-P))
 (41 4 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (39 39 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (36 4 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (35 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (33 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (30 5 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (28 17 (:REWRITE DEFAULT-CDR))
 (26 5 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (22 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (22 6 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (22 6 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (21 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (20 1 (:DEFINITION ATOM))
 (19 19 (:REWRITE DEFAULT-CAR))
 (19 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (18 1 (:REWRITE NFIX-WHEN-ZP))
 (16 16 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (16 1 (:REWRITE ZP-OPEN))
 (15 7 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (13 5 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (12 3 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (12 1 (:REWRITE NFIX-WHEN-NATP))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (10 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (9 9 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (9 9 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (7 2 (:DEFINITION NATP))
 (7 1 (:DEFINITION ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (6 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (6 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (6 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (5 5 (:REWRITE DEFAULT-<-2))
 (5 5 (:REWRITE DEFAULT-<-1))
 (5 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (4 1 (:DEFINITION NFIX))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(ABS-ADDRS-OF-CTX-APP-LEMMA-2
 (2317 3 (:DEFINITION ABS-ADDRS))
 (1656 67 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1402 28 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1015 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (604 6 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (493 16 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (450 57 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (430 12 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (423 15 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (400 130 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (386 8 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (380 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (357 34 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (333 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (314 26 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (312 312 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (302 302 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (248 2 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (241 8 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (225 9 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (224 3 (:DEFINITION BINARY-APPEND))
 (214 30 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (204 42 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (196 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (160 26 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (144 9 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (134 134 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (132 119 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (130 130 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (124 7 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (119 119 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (110 6 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (96 67 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (90 4 (:REWRITE NFIX-WHEN-ZP))
 (81 4 (:REWRITE ZP-OPEN))
 (81 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (79 79 (:TYPE-PRESCRIPTION ABS-FS-P))
 (79 3 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (77 25 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (77 25 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (60 4 (:REWRITE NFIX-WHEN-NATP))
 (59 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (58 14 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (53 53 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (51 8 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (51 8 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (51 8 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (50 8 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (50 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (49 49 (:TYPE-PRESCRIPTION M1-FILE-P))
 (45 3 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (45 1 (:DEFINITION MEMBER-EQUAL))
 (42 42 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (37 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (31 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (31 3 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (31 3 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (28 28 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (28 28 (:REWRITE DEFAULT-CDR))
 (28 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (27 27 (:REWRITE DEFAULT-CAR))
 (27 9 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (26 26 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (26 26 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (26 26 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (26 26 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (25 15 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (25 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (22 22 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (22 8 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (21 4 (:DEFINITION NATP))
 (20 1 (:DEFINITION ATOM))
 (18 18 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (18 18 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (16 1 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (14 14 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (13 13 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (12 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (10 10 (:REWRITE DEFAULT-<-2))
 (10 10 (:REWRITE DEFAULT-<-1))
 (9 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (9 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (9 1 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (6 6 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (5 5 (:TYPE-PRESCRIPTION ZP))
 (5 5 (:TYPE-PRESCRIPTION NFIX))
 (5 5 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (3 3 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (3 3 (:TYPE-PRESCRIPTION ATOM))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (3 3 (:REWRITE SUBSETP-MEMBER . 2))
 (3 3 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 )
(ABS-ADDRS-OF-CTX-APP-LEMMA-3
 (161575 8847 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (111286 7706 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (100103 997 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (89581 1952 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (81180 1195 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (75867 3261 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (68881 2476 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (66300 1964 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (59670 906 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (55754 1109 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (50109 1810 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (48554 3415 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (41738 3019 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (35409 1423 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (34979 180 (:DEFINITION MEMBER-EQUAL))
 (34210 940 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (34020 1231 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (30512 282 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (29088 147 (:DEFINITION BINARY-APPEND))
 (27025 97 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (23860 2352 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (22224 1895 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (20535 997 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (20515 4276 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (17680 17680 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (16251 5378 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (15579 15363 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (15363 15363 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (14605 598 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (14339 366 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (13795 871 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (12385 1939 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12145 340 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (11981 434 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (11789 674 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (10367 8840 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (9496 1614 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (9339 1109 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (9291 1774 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (8530 8530 (:TYPE-PRESCRIPTION M1-FILE-P))
 (8515 1774 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (8140 8140 (:TYPE-PRESCRIPTION ABS-FS-P))
 (8002 2340 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7556 2354 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (5318 1846 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5311 416 (:DEFINITION NATP))
 (5263 193 (:REWRITE SUBSETP-CAR-MEMBER))
 (5034 478 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (4824 36 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (4680 4680 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4549 1289 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4549 1289 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4276 4276 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4114 1774 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3970 3970 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (3239 202 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (3136 871 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (2933 2910 (:REWRITE DEFAULT-CAR))
 (2695 267 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2629 263 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2583 294 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2460 2460 (:REWRITE SUBSETP-TRANS2))
 (2460 2460 (:REWRITE SUBSETP-TRANS))
 (2422 2422 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2409 9 (:REWRITE SUBSETP-OF-CONS))
 (2340 2340 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2264 2264 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (2200 7 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (2198 38 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (2173 2173 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (2088 573 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (2082 108 (:REWRITE ZP-OPEN))
 (2070 102 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (2038 2038 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2034 2034 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1984 187 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1651 1651 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1642 674 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1630 1630 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1630 1630 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1560 6 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (1233 6 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1191 1191 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (1176 400 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1105 138 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (975 87 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (740 740 (:REWRITE DEFAULT-<-2))
 (740 740 (:REWRITE DEFAULT-<-1))
 (702 46 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (566 283 (:REWRITE SET-EQUIV-ASYM))
 (538 13 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (533 533 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (533 533 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (533 533 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (416 416 (:TYPE-PRESCRIPTION NATP))
 (400 400 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (397 6 (:REWRITE SUBSETP-CONS-2))
 (378 378 (:REWRITE SUBSETP-MEMBER . 2))
 (326 114 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (319 319 (:REWRITE SUBSETP-MEMBER . 4))
 (283 283 (:TYPE-PRESCRIPTION SET-EQUIV))
 (282 3 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (267 267 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (222 6 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (208 2 (:REWRITE SET-EQUIV-OF-NIL))
 (179 179 (:REWRITE SUBSETP-OF-CDR))
 (136 136 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (131 131 (:TYPE-PRESCRIPTION ATOM))
 (124 8 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (123 123 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (108 4 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (57 3 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (56 4 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (52 52 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (36 36 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (30 30 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (30 6 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (24 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 1))
 (15 15 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(ABS-ADDRS-OF-CTX-APP-LEMMA-11
 (938325 22103 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (678144 21829 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (638585 3212 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (532258 7439 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (485108 6346 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (458011 2224 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (399883 6029 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (384350 12651 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (382709 7984 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (346830 15094 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (317869 5719 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (287322 8044 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (283283 3038 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (272811 2160 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (262941 2909 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (257793 2911 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (156678 323 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (153569 613 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (138026 1782 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (135149 1865 (:DEFINITION BINARY-APPEND))
 (131187 934 (:DEFINITION MEMBER-EQUAL))
 (124667 3649 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (120881 3212 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (115948 372 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (110920 3715 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (95905 3736 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (94416 3856 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (93870 9162 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (86980 32 (:REWRITE ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL))
 (75626 80 (:REWRITE SUBSETP-OF-CONS))
 (69710 592 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (60142 1246 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (60039 809 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (53830 3855 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (52564 12401 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (52408 308 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (47821 16 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (47718 1436 (:REWRITE NFIX-WHEN-ZP))
 (47333 536 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (45598 1647 (:REWRITE SUBSETP-CAR-MEMBER))
 (44844 1416 (:REWRITE ZP-OPEN))
 (44174 44174 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (40041 4112 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (38661 12305 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (38447 3157 (:DEFINITION LEN))
 (34875 765 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (34195 22087 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (32990 224 (:DEFINITION ATOM))
 (32297 7 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-4))
 (30802 36 (:REWRITE SUBSETP-APPEND1))
 (29096 9148 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (28667 32 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (27202 2242 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (25168 650 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (25095 33 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (24954 754 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24735 809 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (23013 23013 (:TYPE-PRESCRIPTION M1-FILE-P))
 (21719 21719 (:TYPE-PRESCRIPTION ABS-FS-P))
 (21658 1118 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (19940 19940 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (19549 40 (:REWRITE SUBSETP-OF-REMOVE1))
 (18916 18916 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (17608 577 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (17229 3649 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16868 16868 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (16792 16792 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (16785 3649 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16403 5312 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (15572 228 (:REWRITE REMOVE-WHEN-ABSENT))
 (14787 371 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (14394 6346 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (14345 2189 (:REWRITE SUBSETP-MEMBER . 1))
 (14183 6265 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (14042 1660 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (13643 13627 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (13551 325 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (13336 219 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (13132 66 (:REWRITE CONSP-OF-APPEND))
 (13078 9377 (:REWRITE DEFAULT-<-1))
 (12525 12525 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (12447 6314 (:REWRITE STR::CONSP-OF-EXPLODE))
 (11408 2596 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (10986 3764 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (10849 18 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (10815 264 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (10713 1411 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (9974 9974 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (9974 9974 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (9844 2585 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (9471 9471 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (9377 9377 (:REWRITE DEFAULT-<-2))
 (8975 830 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (8702 76 (:DEFINITION REMOVE-EQUAL))
 (7915 4001 (:REWRITE SUBSETP-TRANS2))
 (7440 2585 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (7394 7394 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (6449 75 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (6314 3157 (:REWRITE DEFAULT-+-2))
 (5920 5920 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (5827 18 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (5156 5156 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (5080 89 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (4651 3999 (:REWRITE SUBSETP-TRANS))
 (4571 4483 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (4548 49 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (4483 4483 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4483 4483 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4475 18 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (4472 4472 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4429 1184 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4281 128 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (3901 3157 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3808 8 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC))
 (3697 3697 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (3515 80 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (3401 592 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (3354 1118 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3354 1118 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3290 3290 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (3172 744 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (3157 3157 (:REWRITE DEFAULT-+-1))
 (3126 1563 (:REWRITE SET-EQUIV-ASYM))
 (3072 11 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (3003 64 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (2999 2999 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (2633 2633 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (2540 40 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (2515 89 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (2450 2450 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (2420 20 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (2400 2400 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2373 2242 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2270 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2248 1645 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2236 2236 (:LINEAR LEN-WHEN-PREFIXP))
 (2236 2236 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2207 2 (:REWRITE EQUAL-OF-ABS-FILE))
 (2189 2189 (:REWRITE SUBSETP-MEMBER . 2))
 (2177 52 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (2153 11 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (2069 60 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1522 1522 (:REWRITE SUBSETP-OF-CDR))
 (1518 1518 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1488 1488 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (1486 1486 (:TYPE-PRESCRIPTION NATP))
 (1478 503 (:REWRITE MEMBER-WHEN-ATOM))
 (1366 1366 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1165 1165 (:TYPE-PRESCRIPTION ATOM))
 (1118 1118 (:LINEAR POSITION-WHEN-MEMBER))
 (1118 1118 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1047 90 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (861 238 (:REWRITE ABS-TOP-ADDRS-OF-PUT-ASSOC))
 (858 113 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (640 640 (:REWRITE CONSP-OF-STRIP-CARS))
 (601 101 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (528 528 (:REWRITE SUBSETP-MEMBER . 4))
 (528 528 (:REWRITE INTERSECTP-MEMBER . 3))
 (528 528 (:REWRITE INTERSECTP-MEMBER . 2))
 (520 80 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (520 80 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (342 38 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (341 32 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (279 279 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (272 272 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (252 10 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (247 20 (:REWRITE SUBSETP-OF-REMOVE2))
 (240 40 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (240 40 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (235 32 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (214 6 (:REWRITE MEMBER-OF-PUT-ASSOC))
 (184 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (160 160 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (160 160 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (113 113 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (108 108 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (89 89 (:REWRITE MEMBER-OF-STRIP-CARS))
 (89 89 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (81 1 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (80 80 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (80 80 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (80 80 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (72 72 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (67 7 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (40 40 (:REWRITE SUBSETP-OF-REMOVE))
 (36 12 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (36 4 (:REWRITE SUBSETP-CONS-SAME))
 (32 32 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (27 27 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (27 9 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (24 24 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (20 20 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (20 20 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (12 12 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (6 2 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2 2 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 )
(ABS-ADDRS-OF-CTX-APP-LEMMA-5
 (907 1 (:DEFINITION ABS-ADDRS))
 (514 39 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (470 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (312 11 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (290 33 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (273 16 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (221 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (195 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (190 1 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (176 5 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (174 7 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (147 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (146 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (146 1 (:DEFINITION BINARY-APPEND))
 (129 7 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (111 111 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (100 16 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (98 7 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (85 20 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (83 5 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (78 78 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (68 1 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (62 3 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (61 61 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (61 61 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (55 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (51 3 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (47 26 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (43 8 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (41 4 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (39 39 (:TYPE-PRESCRIPTION ABS-FS-P))
 (39 39 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (37 37 (:TYPE-PRESCRIPTION M1-FILE-P))
 (36 4 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (36 3 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (35 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (33 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (30 30 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (27 7 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (27 7 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (26 26 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (20 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (20 1 (:DEFINITION ATOM))
 (18 1 (:REWRITE NFIX-WHEN-ZP))
 (16 16 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (16 16 (:REWRITE DEFAULT-CAR))
 (16 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16 1 (:REWRITE ZP-OPEN))
 (15 15 (:REWRITE DEFAULT-CDR))
 (15 7 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (13 3 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 12 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (12 6 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12 3 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (12 1 (:REWRITE NFIX-WHEN-NATP))
 (12 1 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (11 11 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (10 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (10 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (9 9 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (6 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (6 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (4 4 (:TYPE-PRESCRIPTION NAT-LISTP))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 1 (:DEFINITION NFIX))
 (4 1 (:DEFINITION NATP))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE SUBSETP-TRANS2))
 (3 3 (:REWRITE SUBSETP-TRANS))
 (2 2 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (1 1 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 )
(ABS-ADDRS-OF-CTX-APP-2-LEMMA-3
 (6923762 180160 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6023985 89418 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (5926520 143051 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5597951 75335 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (4477058 2843 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (4373317 74334 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (3911078 39388 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (3622078 45013 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3383874 126061 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3131314 16085 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (2763057 42580 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2685221 42980 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1758775 42580 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1650034 14488 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1423414 5997 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (1398491 11152 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1341144 8287 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1334991 657 (:REWRITE SUBSETP-APPEND1))
 (1317690 8253 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (1288157 9208 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (1245546 18401 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (1202012 141969 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1195329 19085 (:DEFINITION BINARY-APPEND))
 (1036470 42824 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (992664 39388 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (948785 89817 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (925132 2746 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (855197 38472 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (801611 3283 (:REWRITE SUBSETP-CAR-MEMBER))
 (679998 1588 (:REWRITE INTERSECTP-MEMBER . 3))
 (661581 107 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (652247 6177 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (581478 2991 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (526302 526302 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (526128 6112 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (508929 207 (:REWRITE ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL))
 (504003 132131 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (461647 39497 (:DEFINITION LEN))
 (390582 46026 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (369111 14509 (:REWRITE NFIX-WHEN-ZP))
 (366056 362151 (:REWRITE DEFAULT-CAR))
 (364872 660 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (364656 14586 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (340065 14507 (:REWRITE ZP-OPEN))
 (328418 92654 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (288547 263155 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (275038 2061 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (259949 43004 (:REWRITE SUBSETP-TRANS2))
 (243952 243952 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (241942 642 (:REWRITE CONSP-OF-APPEND))
 (238877 1937 (:DEFINITION MEMBER-EQUAL))
 (238431 238431 (:TYPE-PRESCRIPTION ABS-FS-P))
 (235490 30020 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (215210 55418 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (213210 42824 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (208082 208082 (:TYPE-PRESCRIPTION M1-FILE-P))
 (206318 42824 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (203911 59 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC))
 (182091 6112 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (181651 181651 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (174584 79358 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (167331 123236 (:REWRITE DEFAULT-<-1))
 (158680 158680 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (153666 21996 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (147806 147790 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (140279 78954 (:REWRITE STR::CONSP-OF-EXPLODE))
 (132905 1291 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (131905 38619 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (128479 128479 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (123236 123236 (:REWRITE DEFAULT-<-2))
 (120698 58036 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (118431 118431 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (117882 117882 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (117882 117882 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (117277 20401 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (106472 106472 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (103295 2200 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (99062 1588 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (97749 20401 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (89224 52 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1))
 (86125 8076 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (78994 39497 (:REWRITE DEFAULT-+-2))
 (77380 29 (:REWRITE SUBSETP-OF-CONS))
 (76810 76810 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (72716 874 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (72078 238 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (70904 12011 (:DEFINITION NFIX))
 (70377 223 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (62172 16152 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (61002 72 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (60860 60032 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (60032 60032 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (60032 60032 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (58626 78 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (58344 58344 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (56599 42986 (:REWRITE SUBSETP-TRANS))
 (55386 55386 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (53404 95 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (53320 53236 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (47916 96 (:REWRITE SUBSETP-OF-REMOVE1))
 (46924 816 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (45690 12 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (45129 39477 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (43758 14586 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (43758 14586 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (40254 40254 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (39497 39497 (:REWRITE DEFAULT-+-1))
 (38550 576 (:REWRITE REMOVE-WHEN-ABSENT))
 (37820 31 (:REWRITE MEMBER-OF-BINARY-APPEND))
 (37350 936 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (34212 840 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (33834 5997 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (32934 32934 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (31737 12 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (31549 220 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (30650 30020 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (29172 29172 (:LINEAR LEN-WHEN-PREFIXP))
 (29172 29172 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (28464 7974 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (22866 22866 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (22236 192 (:DEFINITION REMOVE-EQUAL))
 (21639 20127 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (19957 1068 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (18438 878 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (18438 878 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (17767 17767 (:TYPE-PRESCRIPTION ATOM))
 (16941 534 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (15733 1168 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (14586 14586 (:LINEAR POSITION-WHEN-MEMBER))
 (14586 14586 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (13792 13792 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (13602 1828 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (13602 1828 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (13562 12 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (12596 18 (:REWRITE EQUAL-OF-ABS-FILE))
 (12150 216 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (10806 120 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (8716 1148 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (8584 5977 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (8396 2096 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (7374 2615 (:REWRITE ABS-TOP-ADDRS-OF-PUT-ASSOC))
 (5742 216 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (5604 5604 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (5604 5604 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (5136 96 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (5016 24 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (4974 144 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (4848 48 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (4587 273 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (4402 4402 (:REWRITE SUBSETP-MEMBER . 2))
 (4402 4402 (:REWRITE SUBSETP-MEMBER . 1))
 (4108 223 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (3870 90 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (2971 2971 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2802 2802 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (2802 2802 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (2666 1586 (:REWRITE MEMBER-WHEN-ATOM))
 (2632 562 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (2436 39 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-RIGHT))
 (2400 536 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (2188 1276 (:DEFINITION NULL))
 (1768 104 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1588 1588 (:REWRITE SUBSETP-MEMBER . 4))
 (1588 1588 (:REWRITE INTERSECTP-MEMBER . 2))
 (1584 1584 (:REWRITE CONSP-OF-STRIP-CARS))
 (1276 1276 (:TYPE-PRESCRIPTION NULL))
 (1148 1148 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (1104 192 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (1104 192 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (1090 1090 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (864 96 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (794 397 (:REWRITE SET-EQUIV-ASYM))
 (786 786 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (648 648 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (608 608 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (608 608 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (608 608 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (604 372 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (600 48 (:REWRITE SUBSETP-OF-REMOVE2))
 (581 581 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (581 581 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (553 553 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (553 553 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (534 534 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (520 20 (:DEFINITION LENGTH))
 (495 495 (:REWRITE INTERSECTP-MEMBER . 1))
 (444 78 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (397 397 (:REWRITE ABS-FILE-P-OF-ABS-FILE))
 (372 372 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (275 275 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (256 256 (:REWRITE SUBSETP-OF-CDR))
 (216 216 (:REWRITE MEMBER-OF-STRIP-CARS))
 (216 216 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (216 72 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (208 52 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (192 192 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (155 1 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (118 118 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (106 5 (:REWRITE MEMBER-OF-PUT-ASSOC))
 (96 96 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (96 96 (:REWRITE SUBSETP-OF-REMOVE))
 (72 72 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (72 9 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-LEFT))
 (54 18 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (50 50 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (48 48 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (48 48 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (34 5 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL))
 (18 18 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (6 6 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 )
(ABS-ADDRS-OF-CTX-APP-LEMMA-8
 (777 25 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (487 20 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (465 37 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (455 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (452 45 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (408 16 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (352 38 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (318 17 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (305 3 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (301 7 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (291 6 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (278 9 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (262 85 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (256 6 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (254 6 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (237 79 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (210 2 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (207 17 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (197 11 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (197 9 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (177 3 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (174 37 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (168 2 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (156 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (152 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (134 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (130 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (102 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (95 4 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (85 85 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (70 16 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (70 11 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (68 9 (:DEFINITION ASSOC-EQUAL))
 (60 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (60 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (58 11 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (56 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (54 14 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (50 50 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (50 25 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (50 17 (:REWRITE DEFAULT-CDR))
 (48 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (47 7 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (45 9 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (43 43 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (41 41 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (38 38 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (38 38 (:REWRITE SUBSETP-TRANS2))
 (38 38 (:REWRITE SUBSETP-TRANS))
 (38 38 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (38 17 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (38 14 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (38 14 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (38 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (36 36 (:TYPE-PRESCRIPTION M1-FILE-P))
 (36 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (34 34 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (33 33 (:REWRITE DEFAULT-CAR))
 (31 31 (:TYPE-PRESCRIPTION ABS-FILE))
 (30 30 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (28 28 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (28 2 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC))
 (27 27 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (27 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (22 22 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (22 2 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (22 2 (:REWRITE ABS-FILE->CONTENTS-OF-ABS-FILE))
 (21 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (21 3 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (18 9 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 6 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (18 2 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (14 6 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (12 12 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (12 12 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (12 4 (:DEFINITION NATP))
 (12 3 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (12 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (11 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10 2 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (10 2 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (10 2 (:REWRITE ABS-TOP-ADDRS-OF-PUT-ASSOC))
 (9 9 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (9 9 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (9 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (8 8 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 1 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (7 1 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (6 6 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 1 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (1 1 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 )
(ABS-ADDRS-OF-CTX-APP-LEMMA-9
 (994031 1340 (:DEFINITION ABS-ADDRS))
 (794843 27200 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (684927 12442 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (608584 869 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (526688 420 (:REWRITE REMOVE-WHEN-ABSENT))
 (521800 140 (:DEFINITION REMOVE-EQUAL))
 (510794 8492 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (425478 445 (:DEFINITION MEMBER-EQUAL))
 (336795 13322 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (324960 10468 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (313625 4856 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (299020 866 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (273720 7162 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (213224 18869 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (202891 84 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (202495 9 (:REWRITE SUBSETP-APPEND1))
 (200364 7794 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (198423 5618 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (172320 3562 (:REWRITE SUBSETP-TRANS2))
 (155064 24 (:REWRITE ABS-TOP-ADDRS-OF-REMOVE))
 (150209 2870 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (145378 2870 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (133021 11146 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (121970 1966 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (103030 94 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (80219 3488 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (78898 21 (:REWRITE SUBSETP-OF-REMOVE1))
 (74972 35708 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (74506 661 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (74392 344 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (72391 344 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (71970 3488 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (71617 11146 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (66470 82 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (59138 8 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC))
 (56824 54400 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (48666 1932 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (47635 1401 (:DEFINITION BINARY-APPEND))
 (46942 8541 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (45778 1393 (:REWRITE ZP-OPEN))
 (40418 3898 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (39283 5012 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (39283 5012 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (38808 6084 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (37868 27200 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (36636 12000 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (36636 12000 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (35708 35708 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (35351 9187 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (33847 993 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (33474 12 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (30388 224 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (29102 9148 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (28474 1918 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (28333 1983 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (28234 23 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 3))
 (28068 1681 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (26556 220 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (26430 26430 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (25964 2852 (:DEFINITION ASSOC-EQUAL))
 (25938 25938 (:TYPE-PRESCRIPTION M1-FILE-P))
 (25422 2 (:REWRITE ABS-ADDRS-OF-CTX-APP-2-LEMMA-3))
 (23501 23501 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (22804 22652 (:REWRITE DEFAULT-CAR))
 (22370 22370 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (21719 10468 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (19637 19589 (:REWRITE DEFAULT-CDR))
 (19369 161 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (18766 470 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (18732 308 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (18400 18400 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (18296 18296 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (17620 3524 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (17259 742 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (16851 27 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (15280 2204 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (14398 5012 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (14314 1918 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (13884 13884 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (12984 146 (:REWRITE EQUAL-OF-ABS-FILE))
 (12465 12465 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (12318 12318 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (12318 12318 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (12190 869 (:REWRITE INTERSECTP-MEMBER . 3))
 (9441 18 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (9265 1712 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (9259 9187 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (9024 202 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (8930 8930 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8795 1310 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (8462 8462 (:TYPE-PRESCRIPTION CTX-APP))
 (8124 1258 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (8107 2805 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (8039 296 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (7877 671 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (7368 242 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (6893 860 (:REWRITE INTERSECTP-MEMBER . 2))
 (6702 9 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (6526 371 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (6272 82 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (6244 6244 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (6111 1380 (:DEFINITION NATP))
 (5524 24 (:REWRITE ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL))
 (5367 5365 (:REWRITE DEFAULT-<-1))
 (5365 5365 (:REWRITE DEFAULT-<-2))
 (5236 154 (:DEFINITION PUT-ASSOC-EQUAL))
 (4343 3556 (:REWRITE SUBSETP-TRANS))
 (4320 3 (:REWRITE CONSP-OF-APPEND))
 (4127 325 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (3893 860 (:REWRITE SUBSETP-MEMBER . 4))
 (3768 3768 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (3524 3524 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (3486 680 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (3394 3362 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (3362 3362 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3362 3362 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (3274 3274 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (2879 993 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2718 154 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (2708 2708 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2420 220 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (2061 993 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2050 4 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (1918 1918 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1760 1760 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (1697 1681 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1655 914 (:REWRITE SUBSETP-MEMBER . 2))
 (1521 69 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (1456 1456 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (1436 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1412 1412 (:TYPE-PRESCRIPTION ABS-FILE))
 (1380 1380 (:TYPE-PRESCRIPTION NATP))
 (1354 1354 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1352 1352 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (1294 1294 (:TYPE-PRESCRIPTION ATOM))
 (1280 80 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (1176 8 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1037 1037 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1034 517 (:REWRITE SET-EQUIV-ASYM))
 (881 830 (:REWRITE MEMBER-WHEN-ATOM))
 (880 160 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (693 30 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (656 8 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (648 34 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (616 56 (:REWRITE ABS-FILE->CONTENTS-OF-ABS-FILE))
 (576 96 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (536 8 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (532 532 (:TYPE-PRESCRIPTION SET-EQUIV))
 (480 480 (:REWRITE SUBSETP-OF-CDR))
 (464 232 (:DEFINITION NULL))
 (464 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (456 26 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (448 24 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (448 16 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (440 440 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (440 440 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (438 146 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (322 322 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (308 220 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (240 40 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (240 40 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (232 232 (:TYPE-PRESCRIPTION NULL))
 (203 203 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (200 40 (:REWRITE ABS-TOP-ADDRS-OF-PUT-ASSOC))
 (168 168 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (146 146 (:TYPE-PRESCRIPTION D-E-P))
 (146 146 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (133 133 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (130 34 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (128 32 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (120 40 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (118 118 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (93 6 (:REWRITE SUBSETP-OF-REMOVE2))
 (84 84 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (84 84 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (84 84 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (84 84 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (82 82 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (82 82 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (82 82 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (82 82 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (82 82 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (82 82 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (79 79 (:REWRITE INTERSECTP-MEMBER . 1))
 (72 72 (:REWRITE ABS-FS-P-OF-REMOVE))
 (66 6 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (48 8 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (40 40 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (40 40 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (30 10 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (24 6 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (24 3 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-RIGHT))
 (16 8 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (12 12 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3))
 (6 6 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (6 6 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (6 6 (:REWRITE ABS-ADDRS-OF-CTX-APP-1-LEMMA-1))
 (3 3 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 )
(ABS-ADDRS-OF-CTX-APP-LEMMA-10
 (313 6 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (283 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (255 20 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (155 3 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (147 12 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (127 5 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (110 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (101 1 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (99 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (83 3 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (76 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (72 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (71 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (70 2 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (66 5 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (54 2 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (51 23 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (51 10 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (40 40 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (39 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (31 5 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (30 28 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (28 28 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (24 20 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (24 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (23 23 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (20 9 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (16 1 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (15 15 (:TYPE-PRESCRIPTION ABS-FS-P))
 (14 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (14 1 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (13 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (11 5 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (11 3 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (11 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (11 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (10 2 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (9 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (8 8 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE DEFAULT-CAR))
 (8 1 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (8 1 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (8 1 (:DEFINITION ATOM))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (5 5 (:REWRITE SUBSETP-TRANS2))
 (5 5 (:REWRITE SUBSETP-TRANS))
 (5 1 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5 1 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 2 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (1 1 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 )
(ABS-ADDRS-OF-CTX-APP-LEMMA-7
 (3177 241 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2048 8 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (1975 91 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (1910 39 (:REWRITE SUBSETP-CAR-MEMBER))
 (1519 8 (:REWRITE SUBSETP-OF-CONS))
 (1352 94 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1216 1 (:REWRITE ABS-ADDRS-OF-CTX-APP-1-LEMMA-5))
 (1169 202 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1163 39 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1123 16 (:DEFINITION MEMBER-EQUAL))
 (1020 13 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (910 32 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (784 202 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (732 2 (:REWRITE MEMBER-OF-CONS))
 (720 66 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (514 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (463 13 (:REWRITE SUBSETP-CONS-2))
 (396 132 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (359 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (346 6 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (344 40 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (326 8 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (299 7 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (296 45 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (295 3 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (288 13 (:DEFINITION NATP))
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 (257 58 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (252 9 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (244 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-4))
 (243 26 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
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 (221 7 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (219 219 (:REWRITE SUBSETP-TRANS2))
 (219 219 (:REWRITE SUBSETP-TRANS))
 (188 188 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (186 186 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (170 154 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (163 5 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (154 154 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
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 (126 13 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (120 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (117 10 (:REWRITE INTERSECTP-MEMBER . 2))
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 (112 4 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
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 (99 7 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (96 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
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 (80 13 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (78 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (74 9 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (69 9 (:DEFINITION ASSOC-EQUAL))
 (65 9 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (60 55 (:REWRITE DEFAULT-CAR))
 (58 58 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (57 4 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (54 9 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (51 16 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (50 10 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (38 3 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (37 4 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (36 4 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
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 (34 34 (:REWRITE SUBSETP-MEMBER . 1))
 (34 10 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (34 10 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (34 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (30 10 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (28 28 (:TYPE-PRESCRIPTION M1-FILE-P))
 (28 28 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (24 24 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (24 24 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (22 22 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (22 22 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (22 11 (:REWRITE SET-EQUIV-ASYM))
 (20 20 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (19 9 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (13 13 (:TYPE-PRESCRIPTION NATP))
 (13 13 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (13 13 (:REWRITE DEFAULT-<-2))
 (13 13 (:REWRITE DEFAULT-<-1))
 (12 12 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (12 12 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (12 7 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-CTX-APP-1-LEMMA-6))
 (12 4 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (10 10 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
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 (9 9 (:REWRITE SUBSETP-MEMBER . 4))
 (9 9 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 8 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (8 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 1))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 6 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (4 4 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 )
(ABS-ADDRS-OF-CTX-APP-LEMMA-12
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 (236276 10635 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (220053 4347 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (211319 4586 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (185948 5461 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (151898 6135 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (126085 1266 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (125711 1989 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (118532 36 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (100099 1037 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (95805 804 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (90389 900 (:DEFINITION BINARY-APPEND))
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 (87900 746 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
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 (3611 578 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
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 (802 802 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
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 (32 32 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
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 (20 20 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (16 8 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-CTX-APP-1-LEMMA-6))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8 8 (:LINEAR LEN-WHEN-PREFIXP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 6 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ABS-ADDRS-OF-CTX-APP-LEMMA-4
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 (4674193 47234 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
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 (2963654 1868 (:DEFINITION MEMBER-EQUAL))
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 (2304078 18803 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
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 (2015377 112082 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2007861 77094 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
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 (1261890 24458 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1125852 47579 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
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 (813047 17674 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (773992 23936 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
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 (254668 6681 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (253574 133514 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (252615 49083 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (250781 1070 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (246610 63560 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (232997 8500 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (231172 34403 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (220910 220910 (:TYPE-PRESCRIPTION M1-FILE-P))
 (220049 5464 (:DEFINITION BINARY-APPEND))
 (187929 3120 (:REWRITE SUBSETP-MEMBER . 3))
 (182791 11153 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (165991 3798 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (164810 5460 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (159863 9342 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (151871 40104 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (143888 2089 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (131974 49083 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (127246 127246 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (124946 6015 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (124526 11678 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (115765 35789 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (115765 35789 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (113610 106 (:REWRITE ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL))
 (108192 41048 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (102171 1382 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (101974 409 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (88609 88609 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (87706 86109 (:REWRITE DEFAULT-CAR))
 (70561 70561 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (69228 18788 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (66484 22526 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (63142 63142 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (62657 62657 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (62442 62442 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (59521 189 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (55561 24458 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (52784 52784 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (49652 2730 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (48399 5761 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (43225 5836 (:DEFINITION NATP))
 (42475 736 (:REWRITE SUBSETP-CAR-MEMBER))
 (42358 3014 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (39988 39988 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (39988 39988 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (39206 10438 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (32826 106 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (25885 25885 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (25360 64 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1))
 (22738 172 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (22526 22526 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (21628 48 (:REWRITE SUBSETP-OF-REMOVE1))
 (21197 21197 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (21147 21136 (:REWRITE DEFAULT-<-1))
 (21136 21136 (:REWRITE DEFAULT-<-2))
 (20870 578 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (20391 116 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (19709 19709 (:REWRITE SUBSETP-TRANS2))
 (19709 19709 (:REWRITE SUBSETP-TRANS))
 (18810 1070 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (17492 468 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (17169 16991 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (16991 16991 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16991 16991 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (15988 420 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (14863 818 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (14331 14331 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (14119 1013 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (12159 63 (:REWRITE EQUAL-OF-ABS-FILE))
 (10970 53 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (10489 7703 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9782 42 (:REWRITE SUBSETP-OF-CONS))
 (8697 8500 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8175 8175 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (8042 1078 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (7396 248 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (6866 402 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (6806 394 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (6630 6015 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6250 3125 (:REWRITE SET-EQUIV-ASYM))
 (5984 6 (:REWRITE MEMBER-OF-CONS))
 (5836 5836 (:TYPE-PRESCRIPTION NATP))
 (5792 5792 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (5720 804 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (5712 108 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (5498 3018 (:REWRITE MEMBER-WHEN-ATOM))
 (5338 64 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (5126 5126 (:TYPE-PRESCRIPTION ATOM))
 (5040 60 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (4960 4960 (:TYPE-PRESCRIPTION STRIP-CARS))
 (4264 23 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (4122 4122 (:REWRITE SUBSETP-MEMBER . 2))
 (3149 3149 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3120 3120 (:REWRITE SUBSETP-MEMBER . 4))
 (2580 12 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (2388 2388 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (2364 4 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (2294 2294 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2148 2148 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (2052 72 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (2044 108 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (1968 492 (:DEFINITION STRIP-CARS))
 (1832 1832 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1746 1746 (:REWRITE SUBSETP-OF-CDR))
 (1680 120 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1672 916 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1584 48 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (1502 1502 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1440 24 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1378 1070 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1328 1328 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (1174 1078 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (1096 86 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (990 106 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (938 23 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (879 879 (:REWRITE SUBSETP-REFL))
 (802 802 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (792 792 (:REWRITE CONSP-OF-STRIP-CARS))
 (718 718 (:TYPE-PRESCRIPTION NULL))
 (718 718 (:DEFINITION NULL))
 (636 86 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (624 96 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (624 96 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (480 60 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (461 23 (:REWRITE SUBSETP-CONS-2))
 (432 48 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (346 86 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (300 24 (:REWRITE SUBSETP-OF-REMOVE2))
 (288 48 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (288 48 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (240 240 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (192 192 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (192 192 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (189 63 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (170 170 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (108 108 (:REWRITE MEMBER-OF-STRIP-CARS))
 (108 108 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (96 96 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (96 96 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (96 96 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (91 91 (:REWRITE INTERSECTP-MEMBER . 1))
 (63 63 (:TYPE-PRESCRIPTION D-E-P))
 (63 63 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (48 48 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (48 48 (:REWRITE SUBSETP-OF-REMOVE))
 (36 36 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (24 24 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (24 24 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (11 11 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(ABS-ADDRS-OF-CTX-APP
 (56846 130 (:DEFINITION MEMBER-EQUAL))
 (47067 81 (:REWRITE REMOVE-WHEN-ABSENT))
 (44573 354 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (42586 2814 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (41758 27 (:DEFINITION REMOVE-EQUAL))
 (35715 764 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (34875 434 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (19306 300 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (19262 878 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (17722 183 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (17024 1105 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (16427 405 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (12837 1674 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (12424 1562 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (11398 1115 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (10229 413 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (9630 109 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (8081 350 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (7012 1651 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6902 1115 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6314 570 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (5917 413 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (5480 5480 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (5084 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (4754 442 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4754 442 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4389 418 (:DEFINITION ASSOC-EQUAL))
 (4344 4 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (4204 2740 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3894 1386 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (3894 1386 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3832 1419 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3761 201 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (3692 4 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (3430 686 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3120 694 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3004 3004 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2880 16 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (2648 12 (:REWRITE SET-DIFFERENCE$-WHEN-NOT-INTERSECTP))
 (2565 1419 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2497 24 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (2452 12 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (2418 2418 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (2371 355 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (2343 213 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2322 2322 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2302 2302 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2050 38 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1882 83 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1817 878 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1815 1651 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1758 1758 (:REWRITE DEFAULT-CAR))
 (1578 1578 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1434 1434 (:REWRITE SUBSETP-TRANS2))
 (1434 1434 (:REWRITE SUBSETP-TRANS))
 (1422 177 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1388 1388 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1382 1382 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (1308 106 (:DEFINITION NATP))
 (1302 19 (:REWRITE EQUAL-OF-ABS-FILE))
 (1254 1254 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1254 1254 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1243 39 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (1202 236 (:REWRITE MEMBER-WHEN-ATOM))
 (1188 413 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1180 442 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1168 40 (:REWRITE SUBSETP-CAR-MEMBER))
 (1158 1158 (:REWRITE DEFAULT-CDR))
 (1052 321 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (997 109 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (930 20 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (882 882 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (832 40 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (698 698 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (690 690 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (686 686 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (672 19 (:DEFINITION PUT-ASSOC-EQUAL))
 (618 28 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (609 609 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (470 470 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (466 83 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (456 40 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (456 40 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (444 100 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (360 58 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (355 355 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (351 81 (:REWRITE NFIX-WHEN-ZP))
 (284 4 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (280 280 (:REWRITE SUBSETP-MEMBER . 2))
 (268 14 (:DEFINITION BINARY-APPEND))
 (264 24 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (256 256 (:REWRITE SUBSETP-MEMBER . 4))
 (256 256 (:REWRITE INTERSECTP-MEMBER . 3))
 (256 256 (:REWRITE INTERSECTP-MEMBER . 2))
 (254 110 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (248 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (240 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (235 235 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (234 81 (:REWRITE NFIX-WHEN-NATP))
 (232 4 (:REWRITE CONSP-OF-APPEND))
 (224 112 (:REWRITE SET-EQUIV-ASYM))
 (224 8 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (220 16 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (204 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (171 45 (:REWRITE ZP-OPEN))
 (142 124 (:REWRITE DEFAULT-<-2))
 (128 128 (:TYPE-PRESCRIPTION SET-EQUIV))
 (128 16 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (128 4 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (125 125 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (124 124 (:REWRITE DEFAULT-<-1))
 (106 106 (:TYPE-PRESCRIPTION NATP))
 (101 101 (:TYPE-PRESCRIPTION ABS-FILE))
 (96 8 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (95 95 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (93 24 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (88 88 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (88 8 (:REWRITE ABS-FILE->CONTENTS-OF-ABS-FILE))
 (87 87 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (81 81 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (80 80 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (80 80 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (80 80 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (76 76 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (75 15 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (72 72 (:REWRITE SUBSETP-OF-CDR))
 (70 28 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (57 19 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (48 4 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (40 40 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (40 4 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (36 36 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (36 27 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (24 24 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (24 4 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (20 20 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE-LEMMA-2))
 (19 19 (:TYPE-PRESCRIPTION D-E-P))
 (19 19 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (16 16 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3))
 (16 4 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (15 15 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE-LEMMA-4 . 1))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 1))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (12 12 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (9 9 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (4 4 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (4 4 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 3))
 )
(ABS-ADDRS-OF-CTX-APP-LEMMA-1
 (1310184 34874 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1260175 117569 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (975981 28099 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (844884 16326 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (792733 54458 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (719693 13406 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (682843 32844 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (647671 31550 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (475761 67137 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (420388 7091 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (370700 5407 (:DEFINITION BINARY-APPEND))
 (335563 7566 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (323321 7034 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (239750 239750 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (228886 6883 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (205807 21537 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (197803 31550 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (197467 4322 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (187746 23043 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (177378 10179 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (170742 8332 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (170587 93197 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (158264 4622 (:REWRITE ZP-OPEN))
 (156831 32 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-4))
 (154220 154220 (:TYPE-PRESCRIPTION ABS-FS-P))
 (146693 5185 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (140956 119875 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (140258 13726 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (137417 4306 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (132159 41354 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (123233 23043 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (116308 23043 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (114038 809 (:REWRITE CONSP-OF-APPEND))
 (103977 3875 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (102147 33151 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (102147 33151 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (95717 5872 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (94512 7620 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (86993 86993 (:TYPE-PRESCRIPTION M1-FILE-P))
 (85538 1664 (:REWRITE SUBSETP-MEMBER . 3))
 (83006 83006 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (74390 4221 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (71780 106 (:REWRITE ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL))
 (67687 6809 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (67386 67386 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (64418 1510 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (54137 7078 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (53355 116 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (52837 189 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (50484 2124 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (49675 23367 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (47499 47499 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (47320 47320 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (45782 45782 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (44029 7620 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (43490 18290 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (42110 430 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (41933 41279 (:REWRITE DEFAULT-CAR))
 (41632 19882 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (40972 40972 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (38745 63 (:REWRITE EQUAL-OF-ABS-FILE))
 (38327 4801 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (37558 12720 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (34498 34498 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (34498 34498 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (31548 4876 (:DEFINITION NATP))
 (27549 436 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (19882 64 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1))
 (19822 172 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (19595 5185 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (18342 18331 (:REWRITE DEFAULT-<-1))
 (18331 18331 (:REWRITE DEFAULT-<-2))
 (18078 1062 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (17215 53 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (16382 1198 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (13059 6883 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (12720 12720 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (12000 1120 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (11913 11735 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (11735 11735 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (11735 11735 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (10448 500 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (9970 106 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (8662 368 (:REWRITE SUBSETP-CAR-MEMBER))
 (8131 536 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (7696 7696 (:REWRITE SUBSETP-TRANS2))
 (7696 7696 (:REWRITE SUBSETP-TRANS))
 (7485 5211 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7152 7152 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6890 1283 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (6122 6122 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (5997 5872 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (5886 402 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (5846 42 (:REWRITE SUBSETP-OF-CONS))
 (5572 5572 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5422 176 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (4876 4876 (:TYPE-PRESCRIPTION NATP))
 (4402 64 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (4308 804 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (4004 24 (:REWRITE SUBSETP-OF-REMOVE1))
 (3836 143 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (3723 1567 (:REWRITE MEMBER-WHEN-ATOM))
 (3208 3208 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (2496 120 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (2420 2420 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2388 48 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2244 24 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2232 2232 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (2182 2182 (:REWRITE SUBSETP-MEMBER . 2))
 (1900 6 (:REWRITE MEMBER-OF-CONS))
 (1864 1864 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1864 60 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1790 53 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (1775 23 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (1664 1664 (:REWRITE SUBSETP-MEMBER . 4))
 (1460 1460 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1364 341 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (1351 1351 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (1296 12 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (1283 1283 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (1216 1120 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (1027 1027 (:REWRITE SUBSETP-OF-CDR))
 (976 4 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (844 844 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (828 36 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (772 86 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (718 718 (:TYPE-PRESCRIPTION NULL))
 (718 718 (:DEFINITION NULL))
 (672 48 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (648 24 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (630 106 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (602 86 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (576 12 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (461 23 (:REWRITE SUBSETP-CONS-2))
 (439 23 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (424 208 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (424 48 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (416 416 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (384 96 (:DEFINITION STRIP-CARS))
 (346 86 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (312 48 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (312 48 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (276 276 (:REWRITE CONSP-OF-STRIP-CARS))
 (192 24 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (189 63 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (172 172 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (170 170 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (144 24 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (144 24 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (132 12 (:REWRITE SUBSETP-OF-REMOVE2))
 (108 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (96 96 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (96 96 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (96 96 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (91 91 (:REWRITE INTERSECTP-MEMBER . 1))
 (63 63 (:TYPE-PRESCRIPTION D-E-P))
 (63 63 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (53 53 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (48 48 (:REWRITE MEMBER-OF-STRIP-CARS))
 (48 48 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (48 48 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (48 48 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (34 34 (:REWRITE SUBSETP-REFL))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (24 24 (:REWRITE SUBSETP-OF-REMOVE))
 (12 12 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (12 12 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (11 11 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(ABS-ADDRS-OF-CTX-APP-2
 (90631 3276 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (81614 1211 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (69894 155 (:DEFINITION MEMBER-EQUAL))
 (58081 99 (:REWRITE REMOVE-WHEN-ABSENT))
 (55475 433 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (52183 33 (:DEFINITION REMOVE-EQUAL))
 (51735 3461 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (43090 982 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (41588 508 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (24478 367 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (22296 1039 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (21315 228 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (20737 1307 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (18526 478 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (17069 470 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (15611 1316 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (12903 1889 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (12349 1886 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (11370 127 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (9096 411 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (8323 1963 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8247 1316 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8030 746 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (7752 44 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (6888 22 (:REWRITE EQUAL-OF-ABS-FILE))
 (6827 470 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (6722 34 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (6552 6552 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (5873 540 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5873 540 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5734 40 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (5094 486 (:DEFINITION ASSOC-EQUAL))
 (4981 3276 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4600 1636 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4600 1636 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4553 25 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (4457 4457 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (4122 848 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4040 808 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3530 3530 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3318 189 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (3119 475 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (2862 2862 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (2824 256 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2714 2714 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2698 2698 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2667 1561 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2607 1561 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2544 426 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (2520 120 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (2147 1039 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2141 1963 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2059 2059 (:REWRITE DEFAULT-CAR))
 (1928 1928 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1924 28 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (1720 212 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1696 1696 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1590 120 (:DEFINITION NATP))
 (1577 1577 (:REWRITE SUBSETP-TRANS2))
 (1577 1577 (:REWRITE SUBSETP-TRANS))
 (1550 50 (:REWRITE SUBSETP-CAR-MEMBER))
 (1504 1504 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (1482 1482 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1482 1482 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1432 540 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1388 1388 (:REWRITE DEFAULT-CDR))
 (1362 470 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1163 127 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (1032 50 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1021 19 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (1016 1016 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (844 844 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (812 812 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (808 808 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (776 22 (:DEFINITION PUT-ASSOC-EQUAL))
 (726 32 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (656 104 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (600 136 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (581 284 (:REWRITE MEMBER-WHEN-ATOM))
 (576 576 (:TYPE-PRESCRIPTION CTX-APP))
 (568 568 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (566 50 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (566 50 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (534 534 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (484 33 (:DEFINITION BINARY-APPEND))
 (475 475 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (448 72 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (422 92 (:REWRITE NFIX-WHEN-ZP))
 (346 66 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (334 334 (:REWRITE SUBSETP-MEMBER . 2))
 (308 308 (:REWRITE SUBSETP-MEMBER . 4))
 (308 308 (:REWRITE INTERSECTP-MEMBER . 3))
 (308 308 (:REWRITE INTERSECTP-MEMBER . 2))
 (284 284 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (282 130 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (257 18 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (256 92 (:REWRITE NFIX-WHEN-NATP))
 (224 8 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (220 28 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (218 50 (:REWRITE ZP-OPEN))
 (216 25 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (182 182 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (168 144 (:REWRITE DEFAULT-<-2))
 (151 40 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (144 144 (:REWRITE DEFAULT-<-1))
 (132 132 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (128 128 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (128 4 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (120 120 (:TYPE-PRESCRIPTION NATP))
 (112 112 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (104 28 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (102 102 (:TYPE-PRESCRIPTION ABS-FILE))
 (102 102 (:REWRITE SUBSETP-OF-CDR))
 (102 102 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (100 100 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (100 100 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (100 100 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (82 18 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (80 80 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (68 68 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (66 22 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (56 56 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (50 50 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (48 24 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (48 4 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (48 4 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (44 4 (:REWRITE ABS-FILE->CONTENTS-OF-ABS-FILE))
 (40 40 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (40 28 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (40 4 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (40 2 (:REWRITE CONSP-OF-APPEND))
 (25 25 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3))
 (22 22 (:TYPE-PRESCRIPTION D-E-P))
 (22 22 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (20 20 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE-LEMMA-4 . 1))
 (16 16 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (16 4 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (14 2 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (2 2 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(CTX-APP-OK-OF-CTX-APP-1
 (63012 339 (:DEFINITION MEMBER-EQUAL))
 (57573 1152 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (47819 415 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (36824 107 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (27030 330 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (22794 147 (:REWRITE REMOVE-WHEN-ABSENT))
 (22325 49 (:DEFINITION REMOVE-EQUAL))
 (19855 873 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (18489 1651 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (17906 1191 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (15300 447 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (11089 499 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (10362 7422 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (8869 96 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (8745 821 (:DEFINITION ASSOC-EQUAL))
 (8666 1112 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (8312 3716 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8159 40 (:REWRITE SUBSETP-OF-REMOVE1))
 (8032 1007 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (7513 1138 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (7119 415 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (6260 539 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6260 539 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5571 451 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (5472 214 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5171 179 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (5024 498 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (4776 214 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (4684 4684 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (4665 152 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (4651 461 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (4601 385 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
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 )
(FTY::TMP-DEFFIXTYPE-IDEMPOTENT
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 )
(FRAME-EQUIV$INLINE)
(FRAME-EQUIV-IS-AN-EQUIVALENCE)
(FRAME-EQUIV-IMPLIES-EQUAL-FRAME-FIX-1)
(FRAME-FIX-UNDER-FRAME-EQUIV)
(EQUAL-OF-FRAME-FIX-1-FORWARD-TO-FRAME-EQUIV)
(EQUAL-OF-FRAME-FIX-2-FORWARD-TO-FRAME-EQUIV)
(FRAME-EQUIV-OF-FRAME-FIX-1-FORWARD)
(FRAME-EQUIV-OF-FRAME-FIX-2-FORWARD)
(CONS-OF-NFIX-K-UNDER-FRAME-EQUIV
 (31 4 (:REWRITE FRAME-FIX-WHEN-FRAME-P))
 (20 2 (:REWRITE FRAME-P-OF-CONS))
 (6 6 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (6 6 (:TYPE-PRESCRIPTION FRAME-P))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE FRAME-VAL-FIX-WHEN-FRAME-VAL-P))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 )
(CONS-NAT-EQUIV-CONGRUENCE-ON-K-UNDER-FRAME-EQUIV)
(CONS-OF-FRAME-VAL-FIX-V-UNDER-FRAME-EQUIV
 (33 4 (:REWRITE FRAME-FIX-WHEN-FRAME-P))
 (22 2 (:REWRITE FRAME-P-OF-CONS))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:TYPE-PRESCRIPTION FRAME-P))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE NFIX-WHEN-NATP))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 )
(CONS-FRAME-VAL-EQUIV-CONGRUENCE-ON-V-UNDER-FRAME-EQUIV)
(CONS-OF-FRAME-FIX-Y-UNDER-FRAME-EQUIV
 (15 2 (:REWRITE FRAME-P-OF-CONS))
 (9 9 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 2 (:REWRITE NFIX-WHEN-NATP))
 (6 2 (:REWRITE FRAME-VAL-FIX-WHEN-FRAME-VAL-P))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 )
(CONS-FRAME-EQUIV-CONGRUENCE-ON-Y-UNDER-FRAME-EQUIV)
(FRAME-FIX-OF-ACONS
 (19 3 (:REWRITE FRAME-FIX-WHEN-FRAME-P))
 (10 1 (:REWRITE FRAME-P-OF-CONS))
 (4 4 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (4 4 (:TYPE-PRESCRIPTION FRAME-P))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE NFIX-WHEN-NATP))
 (4 2 (:REWRITE FRAME-VAL-FIX-WHEN-FRAME-VAL-P))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 )
(FRAME-FIX-OF-APPEND
 (324 19 (:REWRITE FRAME-FIX-WHEN-FRAME-P))
 (174 6 (:REWRITE FRAME-P-OF-APPEND))
 (102 90 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (88 52 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (85 85 (:TYPE-PRESCRIPTION FRAME-P))
 (72 6 (:REWRITE FRAME-P-OF-LIST-FIX))
 (51 11 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (50 1 (:REWRITE FRAME-P-OF-CONS))
 (36 36 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (28 4 (:REWRITE NFIX-WHEN-NATP))
 (28 4 (:REWRITE FRAME-VAL-FIX-WHEN-FRAME-VAL-P))
 (24 4 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (24 4 (:REWRITE FRAME-VAL-P-OF-CDAR-WHEN-FRAME-P))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (7 7 (:TYPE-PRESCRIPTION NATP))
 )
(CONSP-CAR-OF-FRAME-FIX
 (72 10 (:REWRITE FRAME-FIX-WHEN-FRAME-P))
 (31 31 (:TYPE-PRESCRIPTION FRAME-P))
 (30 30 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (30 5 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (18 2 (:REWRITE NFIX-WHEN-NATP))
 (18 2 (:REWRITE FRAME-VAL-FIX-WHEN-FRAME-VAL-P))
 (16 16 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (12 2 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (12 2 (:REWRITE FRAME-VAL-P-OF-CDAR-WHEN-FRAME-P))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 )
(NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P
 (36 4 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (36 4 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (16 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 2 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (12 2 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE DEFAULT-CAR))
 (5 5 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (5 5 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (3 3 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1 1 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 )
(ASSOC-EQUAL-WHEN-FRAME-P
 (67 67 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (26 26 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE DEFAULT-CDR))
 (7 7 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 4 (:REWRITE DEFAULT-<-1))
 (4 4 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 1 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 )
(MEMBER-OF-STRIP-CARS-WHEN-FRAME-P
 (1095 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (992 3 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (913 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (753 10 (:DEFINITION MEMBER-EQUAL))
 (687 14 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (481 38 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (458 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (301 10 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (300 40 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (248 30 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (215 14 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (192 16 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (167 8 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (147 6 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (145 21 (:REWRITE SUBSETP-MEMBER . 1))
 (129 12 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (125 97 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (125 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (123 25 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (110 4 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (104 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (99 6 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (97 97 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (95 33 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (92 74 (:REWRITE DEFAULT-CAR))
 (76 76 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (75 1 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (64 5 (:REWRITE MEMBER-OF-STRIP-CARS))
 (62 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (61 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (60 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (60 6 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (50 41 (:REWRITE DEFAULT-CDR))
 (50 38 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (50 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (49 8 (:REWRITE FRAME-VAL-P-OF-CDAR-WHEN-FRAME-P))
 (46 1 (:REWRITE SUBSETP-CONS-2))
 (43 2 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (36 36 (:REWRITE CONSP-OF-STRIP-CARS))
 (34 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (32 32 (:TYPE-PRESCRIPTION ABS-FS-P))
 (32 32 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (31 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (30 12 (:REWRITE MEMBER-WHEN-ATOM))
 (30 5 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (29 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (28 8 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (27 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (26 26 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (26 13 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (26 6 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (26 6 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (26 4 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (26 4 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (25 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (22 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (21 21 (:REWRITE SUBSETP-MEMBER . 2))
 (18 18 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (17 14 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (15 15 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (15 5 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (14 14 (:REWRITE SUBSETP-MEMBER . 4))
 (14 14 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 3))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 2))
 (14 14 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (14 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (14 2 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (14 1 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (12 8 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (12 2 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (12 2 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (11 1 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (10 10 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION SET-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE DEFAULT-<-1))
 (8 1 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (8 1 (:DEFINITION ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5 5 (:TYPE-PRESCRIPTION ZP))
 (5 5 (:TYPE-PRESCRIPTION LEN))
 (5 5 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (5 5 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (5 5 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (4 4 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (4 4 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(UNLINK-ABS-ALLOC-HELPER-1-GUARD-LEMMA-1
 (944 18 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (559 30 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (511 19 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (424 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (325 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (325 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (310 9 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (262 3 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (237 79 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (158 79 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (146 5 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (122 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (117 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (86 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (80 38 (:REWRITE DEFAULT-CDR))
 (62 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (62 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (56 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (45 16 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (45 15 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (42 42 (:TYPE-PRESCRIPTION ABS-FS-P))
 (40 38 (:REWRITE DEFAULT-CAR))
 (39 3 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (38 5 (:DEFINITION ASSOC-EQUAL))
 (38 2 (:REWRITE LENGTH-WHEN-STRINGP))
 (34 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (32 32 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (32 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (32 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (30 10 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (28 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (28 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (26 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (26 2 (:DEFINITION NATP))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (24 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24 16 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (24 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (24 3 (:DEFINITION MEMBER-EQUAL))
 (22 6 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (22 2 (:DEFINITION LEN))
 (20 2 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (20 2 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (20 2 (:DEFINITION UNSIGNED-BYTE-P))
 (20 2 (:DEFINITION ALISTP))
 (18 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (18 2 (:DEFINITION INTEGER-RANGE-P))
 (16 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (16 4 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (15 15 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (15 15 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (14 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (13 5 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (12 5 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (12 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (12 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (12 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (11 7 (:REWRITE DEFAULT-<-1))
 (10 10 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 8 (:TYPE-PRESCRIPTION STRIP-CARS))
 (8 8 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (8 8 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (8 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (8 2 (:DEFINITION STRIP-CARS))
 (7 7 (:REWRITE DEFAULT-<-2))
 (6 6 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 4 (:REWRITE STR::CONSP-OF-EXPLODE))
 (6 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (4 2 (:REWRITE DEFAULT-+-2))
 (4 2 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (2 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (2 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 )
(UNLINK-ABS-ALLOC-HELPER-1
 (11174 230 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (10689 135 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (9196 116 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (9015 123 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8618 245 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (8252 267 (:DEFINITION MEMBER-EQUAL))
 (8087 68 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6256 20 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (5723 214 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5631 2045 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4577 2045 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (4407 156 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3711 31 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1996 137 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1996 137 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1756 208 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1610 220 (:DEFINITION ASSOC-EQUAL))
 (1483 107 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1360 24 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1334 210 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1133 1133 (:REWRITE DEFAULT-CAR))
 (946 11 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (902 122 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (869 33 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (819 63 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (804 804 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (804 798 (:REWRITE DEFAULT-CDR))
 (760 12 (:REWRITE EQUAL-OF-ABS-FILE))
 (727 243 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (720 16 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (653 321 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (628 209 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (603 118 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (595 32 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (552 12 (:DEFINITION PUT-ASSOC-EQUAL))
 (534 534 (:REWRITE SUBSETP-MEMBER . 2))
 (534 534 (:REWRITE SUBSETP-MEMBER . 1))
 (530 137 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (486 486 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (484 484 (:TYPE-PRESCRIPTION M1-FILE-P))
 (460 460 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (420 420 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (341 59 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (323 107 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (321 321 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (277 277 (:TYPE-PRESCRIPTION ABS-FS-P))
 (272 58 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (251 251 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (242 242 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (242 242 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (234 230 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (223 107 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (214 214 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (209 209 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (208 208 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (184 1 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (167 167 (:REWRITE SUBSETP-TRANS2))
 (167 167 (:REWRITE SUBSETP-TRANS))
 (132 31 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (118 118 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (70 70 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (67 67 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (66 66 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (66 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (62 2 (:REWRITE LENGTH-WHEN-STRINGP))
 (60 60 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (59 1 (:DEFINITION UNSIGNED-BYTE-P))
 (58 58 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (58 1 (:DEFINITION INTEGER-RANGE-P))
 (51 20 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (48 12 (:REWRITE NFIX-WHEN-ZP))
 (42 42 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (42 42 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (38 1 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (36 12 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (36 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (32 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (14 12 (:REWRITE DEFAULT-<-1))
 (13 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE ZP-OPEN))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 6 (:REWRITE DEFAULT-+-2))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (12 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE-CONTENTS-FIX))
 (7 1 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (6 6 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6 6 (:REWRITE DEFAULT-+-1))
 (6 4 (:REWRITE STR::CONSP-OF-EXPLODE))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 2 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (4 1 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (2 2 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE ABS-FILE->CONTENTS-OF-ABS-FILE))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(UNLINK-ABS-ALLOC-HELPER-1-CORRECTNESS-1-LEMMA-1
 (815 37 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (780 18 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (719 42 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (186 6 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (186 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (164 14 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (163 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (127 29 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (123 123 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (116 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (80 80 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (72 8 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (68 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (51 18 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (49 49 (:TYPE-PRESCRIPTION ABS-FS-P))
 (48 40 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (47 3 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (44 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (42 34 (:REWRITE DEFAULT-CDR))
 (42 1 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (38 2 (:REWRITE LENGTH-WHEN-STRINGP))
 (37 35 (:REWRITE DEFAULT-CAR))
 (34 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (32 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (30 3 (:DEFINITION ASSOC-EQUAL))
 (29 29 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (29 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (29 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (28 1 (:DEFINITION MEMBER-EQUAL))
 (27 9 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (27 9 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (26 2 (:DEFINITION NATP))
 (25 25 (:TYPE-PRESCRIPTION LEN))
 (25 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (24 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (22 6 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (22 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (22 2 (:DEFINITION LEN))
 (21 21 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (20 2 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (20 2 (:DEFINITION UNSIGNED-BYTE-P))
 (20 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (18 2 (:DEFINITION INTEGER-RANGE-P))
 (17 2 (:DEFINITION ALISTP))
 (16 4 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (15 6 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (15 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (14 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (14 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (13 13 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (13 6 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (12 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (12 1 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (11 7 (:REWRITE DEFAULT-<-1))
 (11 1 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (9 9 (:TYPE-PRESCRIPTION ZP))
 (9 9 (:TYPE-PRESCRIPTION FRAME-P))
 (8 8 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION NAT-LISTP))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (8 2 (:DEFINITION STRIP-CARS))
 (8 1 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (7 7 (:REWRITE DEFAULT-<-2))
 (6 6 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6 6 (:TYPE-PRESCRIPTION STRIP-CARS))
 (6 6 (:TYPE-PRESCRIPTION ALISTP))
 (6 4 (:REWRITE STR::CONSP-OF-EXPLODE))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (5 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (4 4 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 2 (:REWRITE DEFAULT-+-2))
 (4 2 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (3 3 (:TYPE-PRESCRIPTION D-E-P))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3 3 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (2 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 )
(UNLINK-ABS-ALLOC-HELPER-1-CORRECTNESS-1
 (2271 78 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1706 94 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1501 15 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1281 1 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (961 15 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (900 42 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (826 20 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (759 25 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (700 4 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (648 216 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (648 216 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (646 18 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (630 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (597 12 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (514 42 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (462 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (430 26 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (414 404 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (395 12 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (394 52 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (362 362 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (346 5 (:REWRITE EQUAL-OF-ABS-FILE))
 (309 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (285 25 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (285 25 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (268 6 (:DEFINITION UNSIGNED-BYTE-P))
 (264 38 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (262 6 (:DEFINITION INTEGER-RANGE-P))
 (254 36 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (252 80 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (240 6 (:DEFINITION PUT-ASSOC-EQUAL))
 (237 237 (:REWRITE DEFAULT-CAR))
 (222 1 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1))
 (219 11 (:REWRITE LENGTH-WHEN-STRINGP))
 (205 69 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (205 48 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (205 12 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (188 188 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (188 188 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (173 78 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (171 15 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (170 135 (:REWRITE DEFAULT-CDR))
 (155 155 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (152 152 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (150 30 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (133 17 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (132 3 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (131 11 (:DEFINITION LEN))
 (130 6 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (126 3 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (125 3 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (115 11 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (114 18 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (107 94 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (106 106 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (104 104 (:TYPE-PRESCRIPTION ABS-FS-P))
 (96 12 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (88 88 (:TYPE-PRESCRIPTION M1-FILE-P))
 (87 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (87 3 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (84 3 (:DEFINITION MEMBER-EQUAL))
 (81 81 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (78 78 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (77 26 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (76 76 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (75 18 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (75 3 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (68 68 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (68 68 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (68 7 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE-CONTENTS-FIX))
 (66 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (62 26 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (60 3 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (55 55 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (54 1 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (52 52 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (48 3 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (46 4 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (41 22 (:REWRITE STR::CONSP-OF-EXPLODE))
 (38 38 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (36 3 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (34 34 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (33 33 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (33 33 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (31 6 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (30 30 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (30 30 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (27 3 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (26 26 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (25 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (24 11 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (24 3 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (22 22 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (22 22 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (22 11 (:REWRITE DEFAULT-+-2))
 (20 14 (:REWRITE DEFAULT-<-1))
 (20 4 (:REWRITE NFIX-WHEN-NATP))
 (19 19 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (16 16 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 4 (:REWRITE NFIX-WHEN-ZP))
 (15 15 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (15 15 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (15 5 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (15 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (14 14 (:REWRITE DEFAULT-<-2))
 (14 7 (:DEFINITION NULL))
 (13 11 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12 6 (:REWRITE SET-EQUIV-ASYM))
 (12 4 (:DEFINITION NATP))
 (12 3 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (11 11 (:REWRITE DEFAULT-+-1))
 (10 10 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (7 7 (:TYPE-PRESCRIPTION NULL))
 (7 1 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER))
 (6 6 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (6 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (6 1 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (6 1 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (5 5 (:TYPE-PRESCRIPTION D-E-P))
 (5 5 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (4 4 (:REWRITE ZP-OPEN))
 (4 2 (:REWRITE ABS-FILE->CONTENTS-OF-ABS-FILE))
 (3 3 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3 3 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3 3 (:REWRITE SUBSETP-TRANS2))
 (3 3 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 )
(STAT-ABS-LOOKUP
 (726 6 (:DEFINITION TAKE))
 (522 12 (:REWRITE TAKE-OF-TOO-MANY))
 (378 12 (:REWRITE TAKE-OF-LEN-FREE))
 (252 18 (:REWRITE ZP-OPEN))
 (252 12 (:REWRITE NFIX-WHEN-ZP))
 (240 240 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (234 6 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (180 36 (:DEFINITION LEN))
 (144 48 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (144 48 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (135 3 (:DEFINITION LAST))
 (96 96 (:LINEAR LEN-WHEN-PREFIXP))
 (96 96 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (96 60 (:REWRITE DEFAULT-+-2))
 (72 24 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (69 57 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (60 60 (:REWRITE DEFAULT-+-1))
 (60 48 (:REWRITE DEFAULT-<-2))
 (57 3 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (56 56 (:REWRITE DEFAULT-CDR))
 (48 48 (:REWRITE DEFAULT-<-1))
 (48 48 (:LINEAR POSITION-WHEN-MEMBER))
 (48 48 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (42 3 (:DEFINITION MEMBER-EQUAL))
 (39 30 (:REWRITE DEFAULT-CAR))
 (36 3 (:DEFINITION ASSOC-EQUAL))
 (24 12 (:REWRITE NFIX-WHEN-NATP))
 (18 6 (:REWRITE FOLD-CONSTS-IN-+))
 (15 15 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION NFIX))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3 3 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 )
(1ST-COMPLETE
 (48 5 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (41 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (33 33 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (29 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (24 1 (:REWRITE NFIX-WHEN-ZP))
 (21 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (20 1 (:REWRITE ZP-OPEN))
 (19 19 (:REWRITE DEFAULT-CAR))
 (10 1 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (9 9 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (9 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8 4 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (6 1 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 1 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(1ST-COMPLETE-CORRECTNESS-1
 (585 195 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (462 31 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
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 (58 29 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (57 3 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (56 56 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (56 28 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (54 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (48 48 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (48 5 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (48 5 (:REWRITE FILE-TABLE-P-OF-REMOVE-ASSOC))
 (48 5 (:REWRITE FD-TABLE-P-OF-REMOVE-ASSOC))
 (44 44 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (42 3 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (42 3 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (40 40 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (38 38 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (38 38 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (36 18 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (33 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (32 32 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (32 16 (:REWRITE SET-EQUIV-ASYM))
 (29 29 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (27 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (23 23 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (23 23 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (23 23 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (23 23 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (22 22 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (21 9 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (21 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (19 19 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (19 19 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (18 3 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (18 3 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (18 3 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (18 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (18 3 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION SET-EQUIV))
 (16 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (16 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (16 16 (:REWRITE SUBSETP-TRANS2))
 (16 16 (:REWRITE SUBSETP-TRANS))
 (16 16 (:REWRITE SUBSETP-OF-CDR))
 (16 16 (:REWRITE SUBSETP-MEMBER . 2))
 (16 16 (:REWRITE SUBSETP-MEMBER . 1))
 (12 12 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (11 11 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(1ST-COMPLETE-OF-REMOVE-ASSOC-2
 (342 15 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (332 5 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (126 42 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (114 14 (:DEFINITION ASSOC-EQUAL))
 (88 42 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (57 57 (:REWRITE DEFAULT-CAR))
 (42 42 (:TYPE-PRESCRIPTION ZP))
 (42 42 (:TYPE-PRESCRIPTION LEN))
 (42 42 (:TYPE-PRESCRIPTION FRAME-P))
 (38 38 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (30 1 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (24 24 (:REWRITE DEFAULT-CDR))
 (15 15 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (13 13 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (12 12 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (11 1 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (3 3 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (3 1 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:DEFINITION NULL))
 )
(1ST-COMPLETE-OF-TRUE-LIST-FIX
 (641 9 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (488 18 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (303 21 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (271 14 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (270 7 (:REWRITE NFIX-WHEN-NATP))
 (224 9 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (207 16 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (195 13 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (168 7 (:REWRITE NFIX-WHEN-ZP))
 (140 7 (:REWRITE ZP-OPEN))
 (139 21 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (99 27 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (98 98 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (90 90 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (84 21 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (72 45 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (72 9 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (63 18 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (56 7 (:DEFINITION NATP))
 (54 18 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (54 10 (:DEFINITION LEN))
 (49 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (49 7 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (48 7 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (48 7 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (48 7 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (42 42 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (42 7 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (42 7 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (36 36 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (36 18 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (32 16 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (30 30 (:REWRITE DEFAULT-CDR))
 (29 29 (:REWRITE DEFAULT-CAR))
 (28 28 (:TYPE-PRESCRIPTION ABS-FS-P))
 (28 28 (:REWRITE DEFAULT-<-2))
 (28 28 (:REWRITE DEFAULT-<-1))
 (27 27 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (22 11 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (22 11 (:REWRITE DEFAULT-+-2))
 (21 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (18 18 (:TYPE-PRESCRIPTION STRING-LISTP))
 (18 18 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
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 (18 18 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (18 18 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (18 9 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (16 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:LINEAR LEN-WHEN-PREFIXP))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (14 14 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (14 14 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (14 14 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (11 11 (:REWRITE DEFAULT-+-1))
 (9 9 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (9 9 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (9 9 (:REWRITE SET::IN-SET))
 (8 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (7 7 (:TYPE-PRESCRIPTION ZP))
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 (7 7 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 1 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (6 1 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
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 )
(LIST-EQUIV-IMPLIES-EQUAL-1ST-COMPLETE-1
 (45 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (28 2 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (24 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (12 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (9 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (9 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (7 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5 1 (:DEFINITION LEN))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P
 (356 13 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (351 203 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (299 299 (:TYPE-PRESCRIPTION NATP))
 (130 13 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (114 114 (:REWRITE DEFAULT-CAR))
 (78 13 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (74 74 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (74 74 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (68 60 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (58 13 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (58 13 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (58 13 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (22 22 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (22 22 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (22 22 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (21 3 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (18 18 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (13 13 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (13 13 (:REWRITE DEFAULT-<-2))
 (13 13 (:REWRITE DEFAULT-<-1))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9 9 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (9 9 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (7 2 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 )
(FRAME-P-OF-REMOVE1-ASSOC
 (363 13 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (275 143 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (207 49 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (130 13 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (107 107 (:REWRITE DEFAULT-CAR))
 (78 13 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (66 66 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (66 66 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (63 13 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (63 13 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (63 13 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (45 45 (:REWRITE SUBSETP-TRANS2))
 (45 45 (:REWRITE SUBSETP-TRANS))
 (44 44 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (44 44 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (40 11 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (35 35 (:REWRITE DEFAULT-CDR))
 (32 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (23 23 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (23 23 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (23 23 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (20 20 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (13 13 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (13 13 (:REWRITE DEFAULT-<-2))
 (13 13 (:REWRITE DEFAULT-<-1))
 (10 10 (:TYPE-PRESCRIPTION NULL))
 (10 10 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (10 10 (:DEFINITION NULL))
 (8 8 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 1 (:DEFINITION ASSOC-EQUAL))
 (3 1 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 1 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:TYPE-PRESCRIPTION LEN))
 )
(FRAME-WITH-ROOT
 (8 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(FRAME-WITH-ROOT-OF-TRUE-LIST-FIX)
(STRIP-CARS-OF-FRAME-WITH-ROOT
 (7 6 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE DEFAULT-CDR))
 (1 1 (:TYPE-PRESCRIPTION FRAME-VAL))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(TRUE-LISTP-OF-FRAME-WITH-ROOT
 (248 6 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (141 10 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (121 8 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (90 18 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (77 10 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (68 4 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (36 36 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (36 36 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (36 6 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (34 34 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (32 32 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (30 6 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (18 6 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (16 16 (:TYPE-PRESCRIPTION ABS-FS-P))
 (16 16 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (16 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (12 12 (:TYPE-PRESCRIPTION STRING-LISTP))
 (12 12 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (12 12 (:TYPE-PRESCRIPTION D-E-P))
 (12 12 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (12 6 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (10 2 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (6 6 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (6 6 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE SET::IN-SET))
 (4 4 (:TYPE-PRESCRIPTION FRAME-VAL))
 (4 2 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE CAR-CONS))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(FRAME-P-OF-FRAME-WITH-ROOT
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(ALISTP-OF-FRAME-WITH-ROOT)
(PUT-ASSOC-OF-FRAME-WITH-ROOT-1
 (164 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (61 7 (:DEFINITION ASSOC-EQUAL))
 (54 18 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (36 18 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (32 30 (:REWRITE DEFAULT-CAR))
 (18 18 (:TYPE-PRESCRIPTION ZP))
 (18 18 (:TYPE-PRESCRIPTION LEN))
 (18 18 (:TYPE-PRESCRIPTION FRAME-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (13 13 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:TYPE-PRESCRIPTION FRAME-VAL))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 )
(ASSOC-EQUAL-OF-FRAME-WITH-ROOT
 (102 34 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (10 9 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE DEFAULT-CDR))
 )
(REMOVE-ASSOC-OF-FRAME-WITH-ROOT-1
 (197 8 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (66 22 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (64 8 (:DEFINITION ASSOC-EQUAL))
 (44 22 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (34 32 (:REWRITE DEFAULT-CAR))
 (22 22 (:TYPE-PRESCRIPTION ZP))
 (22 22 (:TYPE-PRESCRIPTION LEN))
 (22 22 (:TYPE-PRESCRIPTION FRAME-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (12 12 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 )
(FRAME->ROOT
 (90 30 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (44 30 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (23 3 (:DEFINITION ASSOC-EQUAL))
 (9 9 (:REWRITE DEFAULT-CAR))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4 4 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(FRAME->ROOT-NORMALISATION)
(FRAME->FRAME)
(FRAME->ROOT-OF-TRUE-LIST-FIX)
(LIST-EQUIV-IMPLIES-EQUAL-FRAME->ROOT-1
 (45 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (28 2 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (24 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (12 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (9 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (9 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
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 )
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 )
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 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
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 (2 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
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 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
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 (66 22 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (64 8 (:DEFINITION ASSOC-EQUAL))
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 )
(FRAME-P-OF-FRAME->FRAME)
(ABS-FS-P-OF-FRAME->ROOT)
(FRAME-WITH-ROOT-CORRECTNESS-1
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 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(FRAME-WITH-ROOT-OF-ABS-FS-FIX)
(NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME)
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 )
(ABS-FILE-ALIST-P-OF-FRAME->ROOT)
(ABS-NO-DUPS-P-OF-FRAME->ROOT)
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 )
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 (375 13 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (358 358 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
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 (246 246 (:REWRITE INTERSECTP-MEMBER . 3))
 (246 246 (:REWRITE INTERSECTP-MEMBER . 2))
 (243 117 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (242 242 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (234 234 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (232 32 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (225 18 (:REWRITE SUBSETP-OF-REMOVE2))
 (222 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (218 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (205 4 (:DEFINITION PUT-ASSOC-EQUAL))
 (202 23 (:REWRITE LEN-WHEN-PREFIXP))
 (196 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (194 122 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (190 12 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (180 180 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (180 180 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (178 12 (:REWRITE NFIX-WHEN-ZP))
 (176 90 (:REWRITE DEFAULT-+-2))
 (174 30 (:REWRITE MEMBER-OF-STRIP-CARS))
 (172 172 (:TYPE-PRESCRIPTION ABS-FS-P))
 (171 57 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (171 57 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (168 168 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (161 152 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (158 158 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (147 147 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (145 145 (:TYPE-PRESCRIPTION SET-EQUIV))
 (140 55 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (130 106 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (127 127 (:REWRITE SUBSETP-TRANS2))
 (127 127 (:REWRITE SUBSETP-TRANS))
 (122 122 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (118 30 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (114 114 (:LINEAR LEN-WHEN-PREFIXP))
 (114 114 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (106 106 (:REWRITE SUBSETP-OF-CDR))
 (100 100 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (100 100 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (90 90 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (90 90 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (90 90 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (90 90 (:REWRITE DEFAULT-+-1))
 (72 72 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (62 62 (:TYPE-PRESCRIPTION CTX-APP))
 (61 61 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (59 59 (:TYPE-PRESCRIPTION PREFIXP))
 (57 57 (:LINEAR POSITION-WHEN-MEMBER))
 (57 57 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (55 55 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (55 4 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (52 13 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (45 13 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (45 13 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (44 44 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (44 44 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (42 24 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (42 3 (:REWRITE ASSOC-AFTER-PUT-ASSOC))
 (36 36 (:REWRITE SUBSETP-OF-REMOVE))
 (34 34 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (32 32 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (32 32 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (32 32 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (32 16 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (32 8 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (28 28 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (26 26 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (26 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (24 24 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (24 12 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (22 22 (:TYPE-PRESCRIPTION NULL))
 (22 22 (:DEFINITION NULL))
 (21 21 (:REWRITE SUBSETP-REFL))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (20 12 (:REWRITE NFIX-WHEN-NATP))
 (20 4 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (20 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (20 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (15 15 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (15 15 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (15 15 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (15 15 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (13 13 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (12 12 (:TYPE-PRESCRIPTION FRAME-VAL))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 6 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (10 10 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (10 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 8 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (8 8 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (6 6 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (4 4 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (2 2 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(FRAME-P-OF-COLLAPSE-THIS
 (1118 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1032 344 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (804 12 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (704 173 (:REWRITE DEFAULT-CDR))
 (602 69 (:DEFINITION ASSOC-EQUAL))
 (512 6 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (474 18 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (454 6 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (396 6 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (300 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (278 15 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (254 254 (:REWRITE DEFAULT-CAR))
 (236 20 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (236 12 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (225 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (210 10 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (198 28 (:DEFINITION LEN))
 (158 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (156 156 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (145 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (144 144 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (144 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (129 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (108 12 (:REWRITE LEN-WHEN-PREFIXP))
 (106 8 (:REWRITE NFIX-WHEN-ZP))
 (102 34 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (102 34 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (93 3 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (68 68 (:LINEAR LEN-WHEN-PREFIXP))
 (68 68 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (63 37 (:REWRITE DEFAULT-<-2))
 (63 6 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (60 32 (:REWRITE DEFAULT-+-2))
 (49 37 (:REWRITE DEFAULT-<-1))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (43 43 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (38 38 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (38 38 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (35 35 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (34 34 (:LINEAR POSITION-WHEN-MEMBER))
 (34 34 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (34 3 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (33 9 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (32 32 (:REWRITE DEFAULT-+-1))
 (32 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (31 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (27 27 (:TYPE-PRESCRIPTION NATP))
 (24 24 (:TYPE-PRESCRIPTION PREFIXP))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (19 19 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (18 6 (:DEFINITION NATP))
 (16 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (16 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (13 2 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (12 8 (:REWRITE NFIX-WHEN-NATP))
 (12 6 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (12 6 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (12 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (9 9 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (9 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (9 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (7 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6 3 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (6 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (5 5 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-THIS
 (3125 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (3071 10 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2741 2 (:REWRITE ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL))
 (2535 42 (:REWRITE REMOVE-WHEN-ABSENT))
 (1649 3 (:DEFINITION ATOM))
 (1609 2 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (1582 10 (:DEFINITION REMOVE-EQUAL))
 (1436 1 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1))
 (1356 452 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1182 30 (:DEFINITION MEMBER-EQUAL))
 (1118 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (974 325 (:REWRITE DEFAULT-CDR))
 (936 14 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (935 106 (:DEFINITION ASSOC-EQUAL))
 (804 12 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (786 14 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (778 55 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (720 48 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (648 15 (:REWRITE MEMBER-OF-STRIP-CARS))
 (612 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (590 500 (:REWRITE DEFAULT-CAR))
 (581 31 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (552 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (516 4 (:REWRITE MEMBER-OF-REMOVE))
 (512 6 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (474 18 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (454 6 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (449 17 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (417 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-OF-PUT-ASSOC))
 (400 23 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (396 6 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (384 384 (:TYPE-PRESCRIPTION STRIP-CARS))
 (340 19 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (300 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (285 12 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (260 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (252 240 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (239 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (236 20 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (236 12 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (233 2 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (228 48 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (225 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (210 10 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (200 30 (:DEFINITION STRIP-CARS))
 (198 28 (:DEFINITION LEN))
 (195 15 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (168 8 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (158 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (151 151 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (146 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (145 3 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (145 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (144 144 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (143 55 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (142 80 (:REWRITE CONSP-OF-STRIP-CARS))
 (142 60 (:REWRITE MEMBER-WHEN-ATOM))
 (140 10 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (138 2 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (135 6 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (134 10 (:REWRITE NFIX-WHEN-ZP))
 (125 6 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (124 8 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (119 64 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (112 24 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (110 110 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (108 108 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (108 12 (:REWRITE LEN-WHEN-PREFIXP))
 (102 34 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (102 34 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (102 9 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (94 38 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (93 12 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (90 18 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (88 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (81 12 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (80 80 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (80 11 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (76 76 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (76 76 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (75 47 (:REWRITE DEFAULT-<-2))
 (70 70 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (68 68 (:LINEAR LEN-WHEN-PREFIXP))
 (68 68 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (67 67 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (67 3 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (66 66 (:REWRITE SUBSETP-MEMBER . 2))
 (66 66 (:REWRITE SUBSETP-MEMBER . 1))
 (66 10 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (64 64 (:TYPE-PRESCRIPTION ABS-FS-P))
 (64 64 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (64 64 (:REWRITE SUBSETP-MEMBER . 4))
 (64 64 (:REWRITE SUBSETP-MEMBER . 3))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 3))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 2))
 (60 32 (:REWRITE DEFAULT-+-2))
 (59 47 (:REWRITE DEFAULT-<-1))
 (58 10 (:REWRITE NFIX-WHEN-NATP))
 (51 18 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (48 48 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (44 2 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (42 42 (:TYPE-PRESCRIPTION M1-FILE-P))
 (42 42 (:TYPE-PRESCRIPTION HONS-ASSOC-EQUAL))
 (42 42 (:TYPE-PRESCRIPTION FRAME-WITH-ROOT))
 (40 40 (:TYPE-PRESCRIPTION FRAME-VAL))
 (40 4 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (39 39 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (39 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (38 38 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (38 38 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (38 38 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (36 36 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (36 8 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (36 2 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (34 34 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (34 34 (:LINEAR POSITION-WHEN-MEMBER))
 (34 34 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (32 32 (:REWRITE DEFAULT-+-1))
 (32 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (32 16 (:REWRITE SET-EQUIV-ASYM))
 (32 8 (:DEFINITION NATP))
 (32 2 (:DEFINITION HONS-ASSOC-EQUAL))
 (30 12 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (30 1 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (28 10 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (28 2 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (24 24 (:TYPE-PRESCRIPTION PREFIXP))
 (24 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (24 2 (:REWRITE NATP-OF-CDR-OF-HONS-ASSOC-EQUAL-WHEN-FD-TABLE-P))
 (24 2 (:REWRITE HIFAT-NO-DUPS-P-OF-PUT-ASSOC))
 (21 9 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (20 3 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (20 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (19 19 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (18 18 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (18 6 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (18 6 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (18 6 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (16 16 (:TYPE-PRESCRIPTION SET-EQUIV))
 (16 16 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (16 16 (:REWRITE SUBSETP-OF-CDR))
 (16 8 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (16 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (16 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (15 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (13 1 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (12 2 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (10 10 (:TYPE-PRESCRIPTION NULL))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (10 10 (:DEFINITION NULL))
 (10 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (10 2 (:DEFINITION NFIX))
 (9 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (8 8 (:REWRITE SUBSETP-TRANS2))
 (8 8 (:REWRITE SUBSETP-TRANS))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 2 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (8 2 (:DEFINITION HONS-EQUAL))
 (7 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (6 6 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (6 6 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3 3 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (2 2 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (2 2 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (2 2 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-THIS
 (1179 393 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1118 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (804 12 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (746 85 (:DEFINITION ASSOC-EQUAL))
 (728 26 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (701 197 (:REWRITE DEFAULT-CDR))
 (556 8 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (512 6 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (454 6 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (344 19 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (314 314 (:REWRITE DEFAULT-CAR))
 (300 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (248 10 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (236 20 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (236 12 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (225 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (216 5 (:DEFINITION PUT-ASSOC-EQUAL))
 (210 10 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (198 28 (:DEFINITION LEN))
 (196 196 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (144 144 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (144 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (129 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (108 12 (:REWRITE LEN-WHEN-PREFIXP))
 (106 8 (:REWRITE NFIX-WHEN-ZP))
 (102 34 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (102 34 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (93 3 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (83 2 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (69 4 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (68 68 (:LINEAR LEN-WHEN-PREFIXP))
 (68 68 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (66 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (63 37 (:REWRITE DEFAULT-<-2))
 (63 6 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (60 32 (:REWRITE DEFAULT-+-2))
 (59 7 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (57 57 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (54 54 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (49 37 (:REWRITE DEFAULT-<-1))
 (48 48 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (38 38 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (34 34 (:LINEAR POSITION-WHEN-MEMBER))
 (34 34 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (33 9 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (32 32 (:REWRITE DEFAULT-+-1))
 (32 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (28 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (26 2 (:REWRITE ASSOC-AFTER-PUT-ASSOC))
 (24 24 (:TYPE-PRESCRIPTION PREFIXP))
 (24 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (19 19 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (18 6 (:DEFINITION NATP))
 (16 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (16 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (14 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (14 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION FRAME-WITH-ROOT))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (12 8 (:REWRITE NFIX-WHEN-NATP))
 (12 6 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (12 6 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (12 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (9 9 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (9 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (9 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (7 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6 3 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (4 4 (:REWRITE SUBSETP-TRANS2))
 (4 4 (:REWRITE SUBSETP-TRANS))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(COLLAPSE-THIS-OF-TRUE-LIST-FIX
 (1090 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (804 12 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (601 159 (:REWRITE DEFAULT-CDR))
 (588 24 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (528 8 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (520 60 (:DEFINITION ASSOC-EQUAL))
 (512 6 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (454 6 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (378 126 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (376 126 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (300 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (300 4 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (268 2 (:DEFINITION NTHCDR))
 (240 232 (:REWRITE DEFAULT-CAR))
 (236 20 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (236 12 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (228 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (224 12 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (210 10 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (196 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (192 192 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (192 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (190 190 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (189 27 (:DEFINITION LEN))
 (172 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (140 140 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (140 140 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (130 130 (:TYPE-PRESCRIPTION ZP))
 (130 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (126 126 (:TYPE-PRESCRIPTION FRAME-P))
 (122 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (108 12 (:REWRITE LEN-WHEN-PREFIXP))
 (106 8 (:REWRITE NFIX-WHEN-ZP))
 (99 33 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (99 33 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (84 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (76 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (66 66 (:LINEAR LEN-WHEN-PREFIXP))
 (66 66 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (60 36 (:REWRITE DEFAULT-<-2))
 (58 31 (:REWRITE DEFAULT-+-2))
 (57 7 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (48 36 (:REWRITE DEFAULT-<-1))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (44 12 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (38 38 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (38 38 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (38 38 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (36 36 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (36 4 (:REWRITE ASSOC-OF-TRUE-LIST-FIX))
 (34 34 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (33 33 (:LINEAR POSITION-WHEN-MEMBER))
 (33 33 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (32 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (32 8 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (31 31 (:REWRITE DEFAULT-+-1))
 (28 28 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (28 2 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION PREFIXP))
 (24 8 (:DEFINITION NATP))
 (24 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (20 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (20 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (18 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (16 8 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (12 12 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (12 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12 8 (:REWRITE NFIX-WHEN-NATP))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (12 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (9 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (9 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (8 8 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (7 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 2 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(LIST-EQUIV-IMPLIES-EQUAL-COLLAPSE-THIS-1
 (45 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (28 2 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (24 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (12 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (9 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (9 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (7 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5 1 (:DEFINITION LEN))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1
 (78 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (69 23 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (60 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (24 3 (:DEFINITION ASSOC-EQUAL))
 (12 12 (:REWRITE DEFAULT-CAR))
 (8 8 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5 5 (:REWRITE DEFAULT-CDR))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3 3 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS
 (6801 2267 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2985 15 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2146 33 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2023 485 (:REWRITE DEFAULT-CDR))
 (1834 208 (:DEFINITION ASSOC-EQUAL))
 (1368 15 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1183 15 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (980 5 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (891 41 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (846 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (842 13 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (760 25 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (731 731 (:REWRITE DEFAULT-CAR))
 (726 52 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (720 15 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (661 25 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (655 10 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (650 33 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (597 15 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (565 46 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (540 78 (:DEFINITION LEN))
 (454 454 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (398 398 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (381 6 (:DEFINITION PUT-ASSOC-EQUAL))
 (322 33 (:REWRITE LEN-WHEN-PREFIXP))
 (321 11 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (311 12 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (287 22 (:REWRITE NFIX-WHEN-ZP))
 (282 18 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (276 92 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (276 92 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (264 46 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (252 6 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (220 25 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (205 10 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (184 184 (:LINEAR LEN-WHEN-PREFIXP))
 (184 184 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (172 99 (:REWRITE DEFAULT-<-2))
 (168 90 (:REWRITE DEFAULT-+-2))
 (162 81 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (132 99 (:REWRITE DEFAULT-<-1))
 (122 122 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (120 120 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (120 12 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (110 5 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (101 101 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (100 100 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (100 10 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (92 92 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (92 92 (:LINEAR POSITION-WHEN-MEMBER))
 (92 92 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (91 91 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (90 90 (:REWRITE DEFAULT-+-1))
 (82 52 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (81 81 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (66 66 (:TYPE-PRESCRIPTION PREFIXP))
 (60 18 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (55 10 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (52 52 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (52 52 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (45 15 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (45 15 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (45 15 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (36 36 (:TYPE-PRESCRIPTION ABS-FS-P))
 (36 12 (:DEFINITION NATP))
 (34 10 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (33 9 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (32 22 (:REWRITE NFIX-WHEN-NATP))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (30 10 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (25 25 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (25 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (25 5 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (24 12 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (20 5 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (18 6 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (18 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (17 17 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (15 15 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (15 15 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (15 15 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (15 15 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (15 9 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (12 6 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 10 (:TYPE-PRESCRIPTION D-E-P))
 (10 10 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (9 9 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (5 5 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (5 5 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(FRAME->ROOT-OF-COLLAPSE-THIS
 (717 239 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (683 110 (:REWRITE DEFAULT-CDR))
 (545 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (500 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (453 7 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (425 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (405 47 (:DEFINITION ASSOC-EQUAL))
 (402 6 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (356 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (314 14 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (274 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (256 3 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (248 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (227 3 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (217 3 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (202 2 (:DEFINITION MEMBER-EQUAL))
 (194 1 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (185 1 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (170 170 (:REWRITE DEFAULT-CAR))
 (165 3 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (150 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (149 13 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (148 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (134 1 (:DEFINITION NTHCDR))
 (126 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (118 10 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (118 10 (:DEFINITION NATP))
 (118 6 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (116 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (108 36 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (108 18 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (105 5 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (104 104 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (98 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (97 97 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (92 13 (:DEFINITION LEN))
 (74 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (72 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (68 68 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (58 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (57 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (54 6 (:REWRITE LEN-WHEN-PREFIXP))
 (53 4 (:REWRITE NFIX-WHEN-ZP))
 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (40 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (40 4 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (38 38 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (38 26 (:REWRITE DEFAULT-<-2))
 (36 36 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (36 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (35 35 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (34 34 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (32 32 (:LINEAR LEN-WHEN-PREFIXP))
 (32 32 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (32 26 (:REWRITE DEFAULT-<-1))
 (28 15 (:REWRITE DEFAULT-+-2))
 (25 25 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (23 23 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (23 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (22 6 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (17 17 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (17 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (16 16 (:LINEAR POSITION-WHEN-MEMBER))
 (16 16 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (16 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (15 15 (:REWRITE DEFAULT-+-1))
 (15 3 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (15 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (14 14 (:TYPE-PRESCRIPTION CTX-APP))
 (14 14 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (14 7 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION PREFIXP))
 (12 6 (:REWRITE SET-EQUIV-ASYM))
 (10 10 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (10 10 (:TYPE-PRESCRIPTION NATP))
 (10 10 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (10 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (9 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (6 4 (:REWRITE NFIX-WHEN-NATP))
 (6 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (6 3 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (5 5 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE MEMBER-WHEN-ATOM))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 )
(STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-THIS
 (1622 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1344 448 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1266 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1222 22 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1176 22 (:DEFINITION MEMBER-EQUAL))
 (1137 43 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1126 2 (:REWRITE EQUAL-OF-FRAME-VAL))
 (1106 10 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1090 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1064 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1030 2 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1010 12 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1008 10 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (870 241 (:REWRITE DEFAULT-CDR))
 (804 12 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (705 80 (:DEFINITION ASSOC-EQUAL))
 (574 50 (:DEFINITION NATP))
 (557 21 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (512 6 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (500 5 (:DEFINITION REMOVE-EQUAL))
 (494 2 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (480 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (454 6 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (438 7 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (402 2 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (395 20 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (392 347 (:REWRITE DEFAULT-CAR))
 (364 16 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (360 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (360 16 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (328 60 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (300 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (294 4 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (290 88 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (268 2 (:DEFINITION NTHCDR))
 (236 20 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (236 12 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (226 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (222 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (215 14 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (210 10 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (208 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (196 16 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (196 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (184 178 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (184 26 (:DEFINITION LEN))
 (178 8 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (156 156 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (152 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (142 10 (:REWRITE NFIX-WHEN-ZP))
 (140 12 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (140 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (136 136 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (127 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (116 116 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (116 16 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (112 83 (:REWRITE DEFAULT-<-2))
 (108 12 (:REWRITE LEN-WHEN-PREFIXP))
 (98 40 (:REWRITE MEMBER-WHEN-ATOM))
 (96 32 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (96 32 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (95 83 (:REWRITE DEFAULT-<-1))
 (88 88 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (84 16 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (76 57 (:REWRITE CONSP-OF-STRIP-CARS))
 (64 64 (:LINEAR LEN-WHEN-PREFIXP))
 (64 64 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (63 22 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (60 16 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (60 16 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (56 30 (:REWRITE DEFAULT-+-2))
 (56 10 (:DEFINITION STRIP-CARS))
 (51 51 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (50 50 (:TYPE-PRESCRIPTION NATP))
 (49 49 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (46 46 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (45 45 (:REWRITE SUBSETP-MEMBER . 2))
 (45 45 (:REWRITE SUBSETP-MEMBER . 1))
 (45 4 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (44 44 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (44 32 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (44 24 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (43 43 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (41 41 (:REWRITE SUBSETP-MEMBER . 4))
 (41 41 (:REWRITE SUBSETP-MEMBER . 3))
 (41 41 (:REWRITE INTERSECTP-MEMBER . 3))
 (41 41 (:REWRITE INTERSECTP-MEMBER . 2))
 (40 40 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (40 20 (:REWRITE SET-EQUIV-ASYM))
 (40 16 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (36 6 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (36 2 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (34 34 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (34 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (33 33 (:TYPE-PRESCRIPTION ABS-FS-P))
 (32 32 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (32 32 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (32 32 (:LINEAR POSITION-WHEN-MEMBER))
 (32 32 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (32 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (32 8 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (30 30 (:TYPE-PRESCRIPTION CTX-APP))
 (30 30 (:REWRITE DEFAULT-+-1))
 (30 1 (:REWRITE ABS-FS-P-OF-REMOVE))
 (29 8 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION PREFIXP))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (24 12 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (24 12 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (24 12 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (22 16 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (22 1 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (21 8 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (20 20 (:TYPE-PRESCRIPTION SET-EQUIV))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (20 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (20 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (16 16 (:REWRITE SUBSETP-TRANS2))
 (16 16 (:REWRITE SUBSETP-TRANS))
 (16 16 (:REWRITE SUBSETP-OF-CDR))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 10 (:REWRITE NFIX-WHEN-NATP))
 (16 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (14 14 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (14 14 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (12 12 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (10 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (10 1 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (7 7 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:TYPE-PRESCRIPTION FRAME-VAL))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (5 1 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 3 (:TYPE-PRESCRIPTION NULL))
 (3 3 (:DEFINITION NULL))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 )
(TRUE-LISTP-OF-COLLAPSE-THIS
 (1569 523 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1118 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (804 12 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (717 174 (:REWRITE DEFAULT-CDR))
 (612 70 (:DEFINITION ASSOC-EQUAL))
 (512 6 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (474 18 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (454 6 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (436 3 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (396 6 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (305 11 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (300 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (290 15 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (286 7 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (261 21 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (257 257 (:REWRITE DEFAULT-CAR))
 (236 20 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (236 12 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (231 4 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (225 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (210 10 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (198 28 (:DEFINITION LEN))
 (158 158 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (158 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (145 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (144 144 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (144 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (129 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (117 11 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (108 12 (:REWRITE LEN-WHEN-PREFIXP))
 (106 8 (:REWRITE NFIX-WHEN-ZP))
 (102 34 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (102 34 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (87 21 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (86 37 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (82 4 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (68 68 (:LINEAR LEN-WHEN-PREFIXP))
 (68 68 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (67 5 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (63 37 (:REWRITE DEFAULT-<-2))
 (63 6 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (60 32 (:REWRITE DEFAULT-+-2))
 (49 37 (:REWRITE DEFAULT-<-1))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (44 44 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (44 2 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (42 42 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (40 4 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (38 38 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (38 38 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (37 37 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (36 36 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (34 34 (:LINEAR POSITION-WHEN-MEMBER))
 (34 34 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (33 9 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (32 32 (:REWRITE DEFAULT-+-1))
 (32 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (24 24 (:TYPE-PRESCRIPTION PREFIXP))
 (22 4 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (19 19 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (18 6 (:DEFINITION NATP))
 (18 1 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (17 17 (:TYPE-PRESCRIPTION ABS-FS-P))
 (16 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (16 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (15 3 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (12 8 (:REWRITE NFIX-WHEN-NATP))
 (12 6 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (12 6 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (11 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (9 9 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (9 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (9 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8 2 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (7 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (6 6 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3 1 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS
 (1090 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (804 12 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (588 24 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (578 156 (:REWRITE DEFAULT-CDR))
 (528 8 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (520 60 (:DEFINITION ASSOC-EQUAL))
 (512 6 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (454 6 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (378 126 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (368 126 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (352 352 (:TYPE-PRESCRIPTION LEN))
 (300 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (300 4 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (268 2 (:DEFINITION NTHCDR))
 (236 20 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (236 12 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (230 230 (:REWRITE DEFAULT-CAR))
 (228 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (212 12 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (210 10 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (196 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (192 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (190 190 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (184 26 (:DEFINITION LEN))
 (172 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (140 140 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (136 136 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (130 130 (:TYPE-PRESCRIPTION ZP))
 (126 126 (:TYPE-PRESCRIPTION FRAME-P))
 (124 4 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (122 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (108 12 (:REWRITE LEN-WHEN-PREFIXP))
 (106 8 (:REWRITE NFIX-WHEN-ZP))
 (96 32 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (96 32 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (84 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (76 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (64 64 (:LINEAR LEN-WHEN-PREFIXP))
 (64 64 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (60 36 (:REWRITE DEFAULT-<-2))
 (56 30 (:REWRITE DEFAULT-+-2))
 (48 36 (:REWRITE DEFAULT-<-1))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (44 12 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (38 38 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (38 38 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (38 38 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (36 36 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (34 34 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (32 32 (:LINEAR POSITION-WHEN-MEMBER))
 (32 32 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (32 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (32 8 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (30 30 (:REWRITE DEFAULT-+-1))
 (24 24 (:TYPE-PRESCRIPTION PREFIXP))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (24 8 (:DEFINITION NATP))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (20 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (20 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (18 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (16 8 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (16 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (12 8 (:REWRITE NFIX-WHEN-NATP))
 (12 6 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (8 8 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (8 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-COLLAPSE-THIS-1
 (276 9 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (174 58 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (146 3 (:REWRITE REMOVE-WHEN-ABSENT))
 (141 3 (:DEFINITION MEMBER-EQUAL))
 (134 29 (:REWRITE DEFAULT-CDR))
 (130 9 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (106 12 (:DEFINITION ASSOC-EQUAL))
 (104 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (100 1 (:DEFINITION REMOVE-EQUAL))
 (96 96 (:TYPE-PRESCRIPTION STRIP-CARS))
 (90 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (82 10 (:DEFINITION NATP))
 (79 4 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (73 1 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (66 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (65 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (57 50 (:REWRITE DEFAULT-CAR))
 (57 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (57 1 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (50 5 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (48 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (44 2 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (43 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (35 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (32 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (32 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (30 1 (:REWRITE ABS-FS-P-OF-REMOVE))
 (29 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (28 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (27 7 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (26 26 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (24 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (23 9 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (22 1 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (21 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (21 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (20 11 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (19 19 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (18 18 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (15 12 (:REWRITE CONSP-OF-STRIP-CARS))
 (15 6 (:REWRITE MEMBER-WHEN-ATOM))
 (15 1 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (14 4 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (14 4 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (14 4 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (13 13 (:TYPE-PRESCRIPTION ABS-FS-P))
 (12 12 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (11 11 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (10 10 (:TYPE-PRESCRIPTION NATP))
 (10 10 (:REWRITE DEFAULT-<-2))
 (10 10 (:REWRITE DEFAULT-<-1))
 (10 2 (:DEFINITION STRIP-CARS))
 (10 1 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (9 9 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (7 7 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (7 7 (:REWRITE SUBSETP-MEMBER . 4))
 (7 7 (:REWRITE SUBSETP-MEMBER . 3))
 (7 7 (:REWRITE SUBSETP-MEMBER . 2))
 (7 7 (:REWRITE SUBSETP-MEMBER . 1))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 3))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 2))
 (7 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (7 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6 2 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 1 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (5 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (5 1 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (4 1 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (2 2 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (1 1 (:DEFINITION NULL))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-COLLAPSE-THIS-2
 (669 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (647 11 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (597 1 (:REWRITE EQUAL-OF-FRAME-VAL))
 (579 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (545 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (535 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (521 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (484 13 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (426 142 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (402 6 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (373 5 (:DEFINITION MEMBER-EQUAL))
 (297 33 (:DEFINITION ASSOC-EQUAL))
 (266 97 (:REWRITE DEFAULT-CDR))
 (264 1 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (256 3 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (227 3 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (222 14 (:DEFINITION NATP))
 (217 1 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (204 9 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (198 3 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (173 49 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (156 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (156 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (150 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (149 136 (:REWRITE DEFAULT-CAR))
 (148 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (146 3 (:REWRITE REMOVE-WHEN-ABSENT))
 (136 24 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (136 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (134 1 (:DEFINITION NTHCDR))
 (118 10 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (118 6 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (117 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (105 5 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (100 1 (:DEFINITION REMOVE-EQUAL))
 (98 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (96 96 (:TYPE-PRESCRIPTION STRIP-CARS))
 (95 95 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (94 94 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (92 13 (:DEFINITION LEN))
 (89 5 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (84 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (78 74 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (77 1 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (71 5 (:REWRITE NFIX-WHEN-ZP))
 (68 68 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (68 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (67 4 (:REWRITE ZP-OPEN))
 (66 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (65 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (58 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (57 1 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (54 6 (:REWRITE LEN-WHEN-PREFIXP))
 (49 49 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (49 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (48 48 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (42 29 (:REWRITE DEFAULT-<-2))
 (35 29 (:REWRITE DEFAULT-<-1))
 (35 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (32 32 (:LINEAR LEN-WHEN-PREFIXP))
 (32 32 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (32 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (31 11 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (30 1 (:REWRITE ABS-FS-P-OF-REMOVE))
 (29 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (28 15 (:REWRITE DEFAULT-+-2))
 (26 26 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (24 13 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (23 23 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (22 22 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (22 22 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (22 1 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (21 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (19 10 (:REWRITE MEMBER-WHEN-ATOM))
 (18 18 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (18 18 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (18 1 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (17 17 (:TYPE-PRESCRIPTION ABS-FS-P))
 (17 17 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION CTX-APP))
 (16 16 (:LINEAR POSITION-WHEN-MEMBER))
 (16 16 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (16 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (15 15 (:REWRITE DEFAULT-+-1))
 (15 12 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (15 12 (:REWRITE CONSP-OF-STRIP-CARS))
 (14 14 (:TYPE-PRESCRIPTION NATP))
 (14 4 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (14 4 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (14 4 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (13 13 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION PREFIXP))
 (12 12 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 12 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (12 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (11 11 (:REWRITE SUBSETP-MEMBER . 4))
 (11 11 (:REWRITE SUBSETP-MEMBER . 3))
 (11 11 (:REWRITE SUBSETP-MEMBER . 2))
 (11 11 (:REWRITE SUBSETP-MEMBER . 1))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 3))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 2))
 (11 5 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (11 4 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (10 2 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (10 2 (:DEFINITION STRIP-CARS))
 (10 1 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (9 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (8 8 (:TYPE-PRESCRIPTION SET-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 5 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8 5 (:REWRITE NFIX-WHEN-NATP))
 (8 4 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (7 7 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (7 7 (:REWRITE SUBSETP-TRANS2))
 (7 7 (:REWRITE SUBSETP-TRANS))
 (7 7 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (7 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (7 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (6 1 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (5 5 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (5 1 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (5 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (5 1 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (1 1 (:DEFINITION NULL))
 )
(LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1
 (554 2 (:LINEAR LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (419 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (399 6 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (342 18 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (270 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (240 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (231 27 (:DEFINITION ASSOC-EQUAL))
 (219 3 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (211 2 (:DEFINITION MEMBER-EQUAL))
 (186 62 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (171 3 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (144 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (138 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (134 10 (:DEFINITION NATP))
 (129 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (118 7 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (113 107 (:REWRITE DEFAULT-CAR))
 (102 102 (:TYPE-PRESCRIPTION STRIP-CARS))
 (88 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (76 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (70 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (69 63 (:REWRITE DEFAULT-CDR))
 (66 66 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (64 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (63 6 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (57 57 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (56 12 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (48 4 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (47 4 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (44 8 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (42 6 (:DEFINITION LEN))
 (41 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (33 9 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (32 8 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (32 8 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (30 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (26 1 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (20 20 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (20 10 (:REWRITE DEFAULT-+-2))
 (19 7 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (18 6 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (17 17 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (17 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (16 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (15 14 (:REWRITE CONSP-OF-STRIP-CARS))
 (15 3 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (15 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (14 14 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (14 14 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (14 14 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (14 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 12 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 11 (:REWRITE DEFAULT-<-2))
 (12 7 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12 6 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (12 2 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (11 11 (:REWRITE DEFAULT-<-1))
 (10 10 (:REWRITE DEFAULT-+-1))
 (10 4 (:REWRITE MEMBER-WHEN-ATOM))
 (10 2 (:DEFINITION STRIP-CARS))
 (9 9 (:TYPE-PRESCRIPTION ABS-FS-P))
 (9 9 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (9 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (9 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (7 7 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (6 6 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (6 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 6 (:LINEAR LEN-WHEN-PREFIXP))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 3 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2
 (839 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (682 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (669 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (650 15 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (597 1 (:REWRITE EQUAL-OF-FRAME-VAL))
 (545 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (540 180 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (535 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (521 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (478 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (443 4 (:DEFINITION MEMBER-EQUAL))
 (402 6 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (335 37 (:DEFINITION ASSOC-EQUAL))
 (264 1 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (256 3 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (240 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (227 3 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (217 1 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (200 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (198 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (198 3 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (180 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (167 9 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (164 30 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (164 1 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (157 145 (:REWRITE DEFAULT-CAR))
 (157 45 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (150 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (136 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (134 1 (:DEFINITION NTHCDR))
 (118 10 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (118 6 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (113 16 (:DEFINITION LEN))
 (108 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (105 5 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (104 6 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (102 102 (:TYPE-PRESCRIPTION STRIP-CARS))
 (99 2 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (98 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (95 95 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (94 94 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (86 82 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (80 80 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (76 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (73 1 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (71 5 (:REWRITE NFIX-WHEN-ZP))
 (70 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (68 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (67 4 (:REWRITE ZP-OPEN))
 (66 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (64 2 (:LINEAR LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (58 58 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (58 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (57 1 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (55 5 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (54 6 (:REWRITE LEN-WHEN-PREFIXP))
 (49 7 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (49 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (45 45 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (44 8 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (42 22 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (41 2 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (38 38 (:LINEAR LEN-WHEN-PREFIXP))
 (38 38 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (38 25 (:REWRITE DEFAULT-<-2))
 (38 20 (:REWRITE DEFAULT-+-2))
 (35 15 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (32 8 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (32 8 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (31 25 (:REWRITE DEFAULT-<-1))
 (30 30 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (23 23 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (22 22 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (22 16 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (22 1 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (21 21 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (20 20 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (20 20 (:REWRITE DEFAULT-+-1))
 (20 10 (:REWRITE SET-EQUIV-ASYM))
 (20 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (20 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (19 19 (:LINEAR POSITION-WHEN-MEMBER))
 (19 19 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (18 3 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (18 1 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (17 17 (:TYPE-PRESCRIPTION ABS-FS-P))
 (17 17 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (17 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION CTX-APP))
 (16 16 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (16 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (15 14 (:REWRITE CONSP-OF-STRIP-CARS))
 (14 8 (:REWRITE MEMBER-WHEN-ATOM))
 (12 12 (:TYPE-PRESCRIPTION PREFIXP))
 (12 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (12 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 5 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (11 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (11 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (10 10 (:TYPE-PRESCRIPTION SET-EQUIV))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (10 2 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (10 2 (:DEFINITION STRIP-CARS))
 (9 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 8 (:REWRITE SUBSETP-TRANS2))
 (8 8 (:REWRITE SUBSETP-TRANS))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 5 (:REWRITE NFIX-WHEN-NATP))
 (8 4 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (7 7 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (7 7 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (5 5 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (5 1 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (1 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 )
(COLLAPSE-GUARD-LEMMA-1
 (545 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (402 6 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (303 31 (:DEFINITION ASSOC-EQUAL))
 (294 79 (:REWRITE DEFAULT-CDR))
 (294 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (264 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (256 3 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (234 78 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (227 3 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (150 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (150 2 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (138 118 (:REWRITE DEFAULT-CAR))
 (134 1 (:DEFINITION NTHCDR))
 (118 10 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (118 6 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (114 2 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (106 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (105 5 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (98 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (96 96 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (96 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (95 95 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (92 13 (:DEFINITION LEN))
 (86 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (80 72 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (68 68 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (62 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (61 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (54 6 (:REWRITE LEN-WHEN-PREFIXP))
 (53 4 (:REWRITE NFIX-WHEN-ZP))
 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (42 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (38 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (32 32 (:LINEAR LEN-WHEN-PREFIXP))
 (32 32 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (30 18 (:REWRITE DEFAULT-<-2))
 (28 15 (:REWRITE DEFAULT-+-2))
 (24 18 (:REWRITE DEFAULT-<-1))
 (23 23 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (22 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (20 20 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (19 19 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (19 19 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (19 19 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (17 17 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (16 16 (:LINEAR POSITION-WHEN-MEMBER))
 (16 16 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (16 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (16 4 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (15 15 (:REWRITE DEFAULT-+-1))
 (12 12 (:TYPE-PRESCRIPTION PREFIXP))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (12 4 (:DEFINITION NATP))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (10 2 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (10 2 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (9 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 4 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (8 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (6 4 (:REWRITE NFIX-WHEN-NATP))
 (6 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (6 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (5 5 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 2 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(COLLAPSE-ITER
 (10247 250 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (9395 97 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (8460 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (7662 32 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (5622 823 (:DEFINITION LEN))
 (5100 151 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (5020 151 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (4509 633 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3963 72 (:REWRITE LEN-WHEN-PREFIXP))
 (3330 13 (:DEFINITION NTHCDR))
 (3275 26 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (3024 144 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2460 1120 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2441 1420 (:REWRITE DEFAULT-CDR))
 (1950 272 (:DEFINITION ASSOC-EQUAL))
 (1862 54 (:REWRITE NFIX-WHEN-ZP))
 (1676 853 (:REWRITE DEFAULT-+-2))
 (1350 1350 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1320 24 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (1104 72 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1078 72 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (984 24 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (906 886 (:REWRITE DEFAULT-CAR))
 (891 297 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (891 297 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (853 853 (:REWRITE DEFAULT-+-1))
 (749 199 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (696 24 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (672 672 (:LINEAR LEN-WHEN-PREFIXP))
 (552 544 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (456 48 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (388 212 (:REWRITE DEFAULT-<-2))
 (297 297 (:LINEAR POSITION-WHEN-MEMBER))
 (297 297 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (288 288 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (287 212 (:REWRITE DEFAULT-<-1))
 (250 199 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (243 81 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (228 138 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (228 138 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (216 72 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (174 174 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (151 151 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (151 151 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (151 151 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (151 151 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (144 144 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (141 63 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (141 63 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (141 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (96 96 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (96 96 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (96 48 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (96 24 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (90 51 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (72 72 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (72 24 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (72 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (51 51 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (48 48 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (48 24 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (48 24 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (48 24 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (45 12 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (39 13 (:REWRITE COMMUTATIVITY-OF-+))
 (38 38 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (24 24 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (24 24 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (22 22 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (16 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (13 13 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (13 13 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (13 13 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (11 11 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9 9 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE SUBSETP-TRANS2))
 (8 8 (:REWRITE SUBSETP-TRANS))
 )
(COLLAPSE-ITER-OF-NFIX
 (1986 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1640 58 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1418 28 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1412 22 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1410 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1312 28 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1222 16 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (972 142 (:DEFINITION LEN))
 (916 18 (:REWRITE LEN-WHEN-PREFIXP))
 (724 118 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (630 630 (:TYPE-PRESCRIPTION LEN))
 (542 542 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (526 2 (:DEFINITION NTHCDR))
 (428 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (390 244 (:REWRITE DEFAULT-CDR))
 (352 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (322 13 (:REWRITE ZP-OPEN))
 (292 150 (:REWRITE DEFAULT-+-2))
 (288 9 (:REWRITE NFIX-WHEN-ZP))
 (274 18 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (254 36 (:DEFINITION ASSOC-EQUAL))
 (248 248 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (228 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (192 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (172 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (168 56 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (168 56 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (150 150 (:REWRITE DEFAULT-+-1))
 (140 140 (:REWRITE DEFAULT-CAR))
 (138 50 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (124 124 (:LINEAR LEN-WHEN-PREFIXP))
 (124 4 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (102 102 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (90 30 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (84 30 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (84 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (72 72 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (72 40 (:REWRITE DEFAULT-<-2))
 (68 50 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (64 64 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (59 40 (:REWRITE DEFAULT-<-1))
 (56 56 (:TYPE-PRESCRIPTION PREFIXP))
 (56 56 (:LINEAR POSITION-WHEN-MEMBER))
 (56 56 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (52 52 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (52 2 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (50 26 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (50 26 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (46 46 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (44 26 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (44 12 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (42 42 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (36 36 (:TYPE-PRESCRIPTION ZP))
 (36 36 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (36 36 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (30 30 (:TYPE-PRESCRIPTION FRAME-P))
 (28 28 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (28 28 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (28 28 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (28 28 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (28 28 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (22 10 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (22 10 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (20 20 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (17 9 (:REWRITE NFIX-WHEN-NATP))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (16 8 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (16 4 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (16 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14 14 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (14 14 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (14 8 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (8 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (6 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (4 4 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3 1 (:DEFINITION NATP))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(NAT-EQUIV-IMPLIES-EQUAL-COLLAPSE-ITER-2
 (246 246 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (20 20 (:TYPE-PRESCRIPTION ZP))
 (12 4 (:DEFINITION NATP))
 (10 10 (:REWRITE ZP-OPEN))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE DEFAULT-<-1))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(COLLAPSE-ITER-OF-COLLAPSE-ITER
 (44446 557 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (43171 122 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (38068 616 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (32935 616 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (28872 467 (:REWRITE LEN-WHEN-PREFIXP))
 (28733 296 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (24782 3595 (:DEFINITION LEN))
 (19246 3243 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (13721 61 (:DEFINITION NTHCDR))
 (11782 122 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (10722 6147 (:REWRITE DEFAULT-CDR))
 (7806 467 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7397 3802 (:REWRITE DEFAULT-+-2))
 (7070 248 (:REWRITE NFIX-WHEN-ZP))
 (7035 975 (:DEFINITION ASSOC-EQUAL))
 (6772 6772 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6042 10 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (5123 91 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (4674 1558 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4674 1558 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4296 280 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3840 93 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3802 3802 (:REWRITE DEFAULT-+-1))
 (3659 3555 (:REWRITE DEFAULT-CAR))
 (3651 1217 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3370 3370 (:LINEAR LEN-WHEN-PREFIXP))
 (3194 94 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2277 184 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1986 1950 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1852 1011 (:REWRITE DEFAULT-<-2))
 (1646 1121 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1558 1558 (:LINEAR POSITION-WHEN-MEMBER))
 (1558 1558 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1484 1011 (:REWRITE DEFAULT-<-1))
 (1482 48 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (1319 1029 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1286 26 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (1179 573 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1179 573 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (994 306 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (810 270 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (735 94 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (616 616 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (616 616 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (616 616 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (616 616 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (592 592 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (524 2 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (481 223 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (481 223 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (461 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (378 248 (:REWRITE NFIX-WHEN-NATP))
 (370 94 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (368 368 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (368 184 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (366 366 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (356 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (331 96 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (319 172 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (306 306 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (296 296 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (274 274 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (232 3 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (202 2 (:DEFINITION MEMBER-EQUAL))
 (190 95 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (188 188 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (187 3 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (186 93 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (182 91 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (172 172 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (148 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (133 133 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (116 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (108 18 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (106 6 (:DEFINITION NATP))
 (96 96 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (96 96 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (95 95 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (94 94 (:TYPE-PRESCRIPTION ABS-FS-P))
 (91 91 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (74 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (72 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (65 65 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (58 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (54 54 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (54 54 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (44 44 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (40 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (40 4 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (38 38 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (37 37 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (36 36 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (35 35 (:TYPE-PRESCRIPTION CTX-APP))
 (35 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (32 32 (:TYPE-PRESCRIPTION FRAME-VAL))
 (32 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (26 26 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (26 18 (:REWRITE FOLD-CONSTS-IN-+))
 (22 1 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (21 1 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (16 16 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (16 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (12 6 (:REWRITE SET-EQUIV-ASYM))
 (10 10 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (10 10 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (10 4 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (10 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (9 1 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE MEMBER-WHEN-ATOM))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (4 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE SUBSETP-REFL))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1 1 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 )
(FRAME-P-OF-COLLAPSE-ITER
 (4206 86 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4035 66 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (3884 86 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3878 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2902 424 (:DEFINITION LEN))
 (2649 52 (:REWRITE LEN-WHEN-PREFIXP))
 (2155 353 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1578 6 (:DEFINITION NTHCDR))
 (1572 524 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1370 798 (:REWRITE DEFAULT-CDR))
 (1287 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1024 48 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1006 143 (:DEFINITION ASSOC-EQUAL))
 (864 440 (:REWRITE DEFAULT-+-2))
 (852 24 (:REWRITE NFIX-WHEN-ZP))
 (751 52 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (744 744 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (668 12 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (560 36 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (525 525 (:REWRITE DEFAULT-CAR))
 (504 168 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (504 168 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (500 12 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (440 440 (:REWRITE DEFAULT-+-1))
 (370 370 (:LINEAR LEN-WHEN-PREFIXP))
 (356 12 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (286 286 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (236 24 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (215 155 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (212 140 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (206 109 (:REWRITE DEFAULT-<-2))
 (168 168 (:LINEAR POSITION-WHEN-MEMBER))
 (168 168 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (161 109 (:REWRITE DEFAULT-<-1))
 (149 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (149 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (116 36 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (116 26 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (115 5 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (108 36 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (96 96 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (86 86 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (86 86 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (86 86 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (86 86 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (70 34 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (70 34 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (51 24 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (48 48 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (48 48 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (48 24 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (48 12 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (44 26 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (40 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (40 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (36 36 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (36 24 (:REWRITE NFIX-WHEN-NATP))
 (36 12 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (36 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (26 26 (:REWRITE SUBSETP-TRANS2))
 (26 26 (:REWRITE SUBSETP-TRANS))
 (24 24 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (24 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (24 12 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (24 12 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (12 12 (:TYPE-PRESCRIPTION ABS-FS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (12 12 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 )
(ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-ITER
 (4915 100 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4735 77 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (4656 15 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (4534 100 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3909 1303 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3458 505 (:DEFINITION LEN))
 (3101 61 (:REWRITE LEN-WHEN-PREFIXP))
 (2591 420 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1575 15 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1192 56 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1028 523 (:REWRITE DEFAULT-+-2))
 (994 28 (:REWRITE NFIX-WHEN-ZP))
 (888 61 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (884 884 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (838 22 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (832 802 (:REWRITE DEFAULT-CAR))
 (652 42 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (622 26 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (600 200 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (600 200 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (582 14 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (523 523 (:REWRITE DEFAULT-+-1))
 (472 460 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (440 440 (:LINEAR LEN-WHEN-PREFIXP))
 (374 44 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (274 28 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (249 180 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (248 131 (:REWRITE DEFAULT-<-2))
 (235 163 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (200 200 (:LINEAR POSITION-WHEN-MEMBER))
 (200 200 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (192 131 (:REWRITE DEFAULT-<-1))
 (174 93 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (174 93 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (160 80 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (134 42 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (126 42 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (112 112 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (100 100 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (100 100 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (100 100 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (100 100 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (92 26 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (81 39 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (81 39 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (80 38 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (72 12 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (58 28 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (56 56 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (56 56 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (56 28 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (52 52 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (49 49 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (44 44 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (42 42 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (42 28 (:REWRITE NFIX-WHEN-NATP))
 (42 14 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (42 14 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (40 40 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-COLLAPSE-THIS))
 (40 40 (:TYPE-PRESCRIPTION COLLAPSE-THIS))
 (38 38 (:TYPE-PRESCRIPTION ABS-FS-P))
 (38 38 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (36 12 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (36 12 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (34 34 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (29 15 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (28 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (21 7 (:REWRITE COMMUTATIVITY-OF-+))
 (15 15 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (12 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (2 2 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1 1 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 )
(FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-ITER
 (4915 100 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4699 77 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (4583 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (4498 100 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3388 495 (:DEFINITION LEN))
 (3065 61 (:REWRITE LEN-WHEN-PREFIXP))
 (2517 412 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1851 617 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1841 7 (:DEFINITION NTHCDR))
 (1501 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1494 938 (:REWRITE DEFAULT-CDR))
 (1196 170 (:DEFINITION ASSOC-EQUAL))
 (1120 56 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1008 513 (:REWRITE DEFAULT-+-2))
 (994 28 (:REWRITE NFIX-WHEN-ZP))
 (888 61 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (868 868 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (778 14 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (652 42 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (622 622 (:REWRITE DEFAULT-CAR))
 (588 196 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (588 196 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (582 14 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (549 24 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (513 513 (:REWRITE DEFAULT-+-1))
 (432 432 (:LINEAR LEN-WHEN-PREFIXP))
 (414 14 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (340 340 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (300 59 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (274 28 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (249 180 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (244 129 (:REWRITE DEFAULT-<-2))
 (235 163 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (196 196 (:LINEAR POSITION-WHEN-MEMBER))
 (196 196 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (190 129 (:REWRITE DEFAULT-<-1))
 (174 93 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (174 93 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (156 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (134 42 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (126 42 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (112 112 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (108 52 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (107 50 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (107 50 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (100 100 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (100 100 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (100 100 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (100 100 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (96 48 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (81 39 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (81 39 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (59 59 (:REWRITE SUBSETP-TRANS2))
 (59 59 (:REWRITE SUBSETP-TRANS))
 (58 28 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (56 56 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (56 56 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (56 56 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (56 28 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (56 14 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (49 49 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (42 42 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (42 28 (:REWRITE NFIX-WHEN-NATP))
 (42 14 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (42 14 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (28 28 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-COLLAPSE-THIS))
 (28 28 (:TYPE-PRESCRIPTION COLLAPSE-THIS))
 (28 28 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (28 14 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (28 14 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (28 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (23 23 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (21 7 (:REWRITE COMMUTATIVITY-OF-+))
 (14 14 (:TYPE-PRESCRIPTION ABS-FS-P))
 (14 14 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (14 14 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (12 12 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (12 12 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (2 2 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-ITER
 (8292 106 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (6398 24 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (6088 52 (:DEFINITION MEMBER-EQUAL))
 (4915 100 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4735 77 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (4583 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (4534 100 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (4076 96 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (3388 495 (:DEFINITION LEN))
 (3101 61 (:REWRITE LEN-WHEN-PREFIXP))
 (2808 96 (:DEFINITION NATP))
 (2517 412 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2136 96 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (2021 1158 (:REWRITE DEFAULT-CDR))
 (1857 619 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1844 48 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1841 7 (:DEFINITION NTHCDR))
 (1756 156 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1700 48 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1680 192 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (1548 96 (:REWRITE SUBSETP-CAR-MEMBER))
 (1506 130 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1501 14 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1356 288 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1296 70 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1210 172 (:DEFINITION ASSOC-EQUAL))
 (1192 56 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1186 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (1152 96 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1104 2 (:DEFINITION REMOVE-EQUAL))
 (1066 856 (:REWRITE DEFAULT-CAR))
 (1008 513 (:REWRITE DEFAULT-+-2))
 (994 28 (:REWRITE NFIX-WHEN-ZP))
 (984 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (888 61 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (868 868 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (832 192 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (832 192 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (778 14 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (758 310 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (732 48 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (652 42 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (640 68 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (588 196 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (588 196 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (582 14 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (513 513 (:REWRITE DEFAULT-+-1))
 (512 16 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (480 480 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (440 12 (:REWRITE FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (434 48 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (432 432 (:LINEAR LEN-WHEN-PREFIXP))
 (408 96 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (384 384 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (384 20 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (348 192 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (344 344 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (344 62 (:DEFINITION STRIP-CARS))
 (340 225 (:REWRITE DEFAULT-<-2))
 (328 202 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (312 312 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (306 82 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (304 192 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (286 225 (:REWRITE DEFAULT-<-1))
 (276 156 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (274 28 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (260 104 (:REWRITE MEMBER-WHEN-ATOM))
 (256 256 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-COLLAPSE-THIS))
 (256 256 (:TYPE-PRESCRIPTION COLLAPSE-THIS))
 (249 180 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (235 163 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (204 48 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (202 202 (:TYPE-PRESCRIPTION ABS-FS-P))
 (202 202 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (196 196 (:LINEAR POSITION-WHEN-MEMBER))
 (196 196 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (192 192 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (192 192 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (192 192 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (192 192 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (192 96 (:REWRITE SET-EQUIV-ASYM))
 (186 62 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (174 93 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (174 93 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (156 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (126 42 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (120 96 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (120 96 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (112 112 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (104 104 (:REWRITE SUBSETP-MEMBER . 4))
 (104 104 (:REWRITE SUBSETP-MEMBER . 3))
 (104 104 (:REWRITE SUBSETP-MEMBER . 2))
 (104 104 (:REWRITE SUBSETP-MEMBER . 1))
 (104 104 (:REWRITE INTERSECTP-MEMBER . 3))
 (104 104 (:REWRITE INTERSECTP-MEMBER . 2))
 (104 8 (:REWRITE FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (100 100 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (100 100 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (100 100 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (100 100 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (96 96 (:TYPE-PRESCRIPTION SET-EQUIV))
 (96 96 (:TYPE-PRESCRIPTION NATP))
 (96 96 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (96 96 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (96 96 (:REWRITE SUBSETP-OF-CDR))
 (82 82 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (81 39 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (81 39 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (62 62 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (58 28 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (56 56 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (56 56 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (56 56 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (56 28 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (49 49 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (48 48 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (48 48 (:REWRITE SUBSETP-TRANS2))
 (48 48 (:REWRITE SUBSETP-TRANS))
 (48 8 (:REWRITE FRAME-P-OF-COLLAPSE-THIS))
 (42 28 (:REWRITE NFIX-WHEN-NATP))
 (42 14 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (28 14 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (28 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (28 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (23 23 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (21 7 (:REWRITE COMMUTATIVITY-OF-+))
 (14 14 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (12 12 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (12 12 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10 10 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (10 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (7 7 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 )
(COLLAPSE
 (12975 101 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (11382 252 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (8625 157 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (8460 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (7662 32 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (6177 157 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (5814 855 (:DEFINITION LEN))
 (4517 641 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4236 20 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (4023 76 (:REWRITE LEN-WHEN-PREFIXP))
 (3330 13 (:DEFINITION NTHCDR))
 (3275 26 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (3024 144 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2829 1279 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2676 40 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2673 1555 (:REWRITE DEFAULT-CDR))
 (2665 16 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (2556 16 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1))
 (2400 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (2219 76 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2148 20 (:DEFINITION MEMBER-EQUAL))
 (2082 290 (:DEFINITION ASSOC-EQUAL))
 (1844 50 (:REWRITE NFIX-WHEN-ZP))
 (1736 881 (:REWRITE DEFAULT-+-2))
 (1366 1366 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1356 40 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1322 24 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (1160 40 (:DEFINITION NATP))
 (1106 72 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1100 1020 (:REWRITE DEFAULT-CAR))
 (1040 1040 (:TYPE-PRESCRIPTION STRIP-CARS))
 (986 24 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (924 64 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (903 301 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (903 301 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (881 881 (:REWRITE DEFAULT-+-1))
 (880 40 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (749 199 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (680 680 (:LINEAR LEN-WHEN-PREFIXP))
 (678 20 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (640 40 (:REWRITE SUBSETP-CAR-MEMBER))
 (618 20 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (588 580 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (584 132 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (480 40 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (458 48 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (437 253 (:REWRITE DEFAULT-<-2))
 (432 80 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (402 40 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (342 20 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (332 253 (:REWRITE DEFAULT-<-1))
 (312 80 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (312 80 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (301 301 (:LINEAR POSITION-WHEN-MEMBER))
 (301 301 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (300 20 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (296 296 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (250 199 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (243 81 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (238 142 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (238 142 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (218 72 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (187 8 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (174 174 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (160 40 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (157 157 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (157 157 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (157 157 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (157 157 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (156 20 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (154 148 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (149 65 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (143 65 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (140 140 (:REWRITE CONSP-OF-STRIP-CARS))
 (140 80 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (136 64 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (128 128 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (100 100 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (100 100 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (100 40 (:REWRITE MEMBER-WHEN-ATOM))
 (98 53 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (96 96 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (96 96 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (96 48 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (88 64 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (80 80 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (80 80 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (80 80 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (80 80 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (80 40 (:REWRITE SET-EQUIV-ASYM))
 (80 20 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (80 20 (:DEFINITION STRIP-CARS))
 (75 50 (:REWRITE NFIX-WHEN-NATP))
 (73 73 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (72 72 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (72 24 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (72 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (64 64 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (53 53 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (48 24 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (48 24 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (46 20 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (45 12 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (40 40 (:TYPE-PRESCRIPTION SET-EQUIV))
 (40 40 (:TYPE-PRESCRIPTION NATP))
 (40 40 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (40 40 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (40 40 (:REWRITE SUBSETP-OF-CDR))
 (40 40 (:REWRITE SUBSETP-MEMBER . 4))
 (40 40 (:REWRITE SUBSETP-MEMBER . 3))
 (40 40 (:REWRITE SUBSETP-MEMBER . 2))
 (40 40 (:REWRITE SUBSETP-MEMBER . 1))
 (40 40 (:REWRITE INTERSECTP-MEMBER . 3))
 (40 40 (:REWRITE INTERSECTP-MEMBER . 2))
 (40 40 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (40 40 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (39 13 (:REWRITE COMMUTATIVITY-OF-+))
 (32 32 (:REWRITE SUBSETP-TRANS2))
 (32 32 (:REWRITE SUBSETP-TRANS))
 (24 24 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (22 22 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (20 20 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (20 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (17 17 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (17 17 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 16 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (13 13 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (11 11 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (5 5 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 )
(ABS-FILE-ALIST-P-OF-COLLAPSE
 (4206 86 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4035 66 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (3884 86 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3878 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2902 424 (:DEFINITION LEN))
 (2649 52 (:REWRITE LEN-WHEN-PREFIXP))
 (2155 353 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1794 598 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1578 6 (:DEFINITION NTHCDR))
 (1378 798 (:REWRITE DEFAULT-CDR))
 (1287 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1024 48 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1006 143 (:DEFINITION ASSOC-EQUAL))
 (860 436 (:REWRITE DEFAULT-+-2))
 (852 24 (:REWRITE NFIX-WHEN-ZP))
 (751 52 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (744 744 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (676 12 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (602 40 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (525 525 (:REWRITE DEFAULT-CAR))
 (512 14 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (504 168 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (504 168 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (480 24 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (436 436 (:REWRITE DEFAULT-+-1))
 (370 370 (:LINEAR LEN-WHEN-PREFIXP))
 (286 286 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (276 264 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (270 26 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (215 155 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (212 140 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (206 109 (:REWRITE DEFAULT-<-2))
 (168 168 (:LINEAR POSITION-WHEN-MEMBER))
 (168 168 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (164 10 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (161 109 (:REWRITE DEFAULT-<-1))
 (149 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (149 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (146 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (136 42 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (130 5 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (108 36 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (96 96 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (86 86 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (86 86 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (86 86 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (86 86 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (70 34 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (70 34 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (60 24 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (54 26 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (52 52 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (52 52 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (51 24 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (50 10 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (48 48 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (46 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (42 42 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (42 42 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (40 14 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (36 24 (:REWRITE NFIX-WHEN-NATP))
 (36 12 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-FS-P))
 (24 12 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (12 12 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (12 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (12 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 )
(ABS-FS-P-OF-COLLAPSE
 (4206 86 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4035 66 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (3884 86 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3878 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2902 424 (:DEFINITION LEN))
 (2649 52 (:REWRITE LEN-WHEN-PREFIXP))
 (2155 353 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1794 598 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1578 6 (:DEFINITION NTHCDR))
 (1378 798 (:REWRITE DEFAULT-CDR))
 (1287 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1024 48 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1006 143 (:DEFINITION ASSOC-EQUAL))
 (860 436 (:REWRITE DEFAULT-+-2))
 (852 24 (:REWRITE NFIX-WHEN-ZP))
 (751 52 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (744 744 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (676 12 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (670 48 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (592 18 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (525 525 (:REWRITE DEFAULT-CAR))
 (520 18 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (504 168 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (504 168 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (436 436 (:REWRITE DEFAULT-+-1))
 (370 370 (:LINEAR LEN-WHEN-PREFIXP))
 (322 30 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (286 286 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (264 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (215 155 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (212 140 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (206 109 (:REWRITE DEFAULT-<-2))
 (168 168 (:LINEAR POSITION-WHEN-MEMBER))
 (168 168 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (161 109 (:REWRITE DEFAULT-<-1))
 (160 54 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (149 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (149 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (130 5 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (108 36 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (96 96 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (90 18 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (86 86 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (86 86 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (86 86 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (86 86 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (70 34 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (70 34 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (66 30 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (60 60 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (60 60 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (54 54 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (54 18 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (51 24 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (48 18 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (42 42 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (36 36 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (36 24 (:REWRITE NFIX-WHEN-NATP))
 (36 12 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (36 12 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (36 12 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (30 18 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (24 12 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (18 18 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (12 12 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 12 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 )
(BOOLEANP-OF-COLLAPSE
 (4206 86 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (4035 66 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (3884 86 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3878 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2902 424 (:DEFINITION LEN))
 (2649 52 (:REWRITE LEN-WHEN-PREFIXP))
 (2155 353 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1794 598 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1578 6 (:DEFINITION NTHCDR))
 (1378 798 (:REWRITE DEFAULT-CDR))
 (1287 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1024 48 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1006 143 (:DEFINITION ASSOC-EQUAL))
 (860 436 (:REWRITE DEFAULT-+-2))
 (852 24 (:REWRITE NFIX-WHEN-ZP))
 (751 52 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (744 744 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (676 12 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (568 36 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (525 525 (:REWRITE DEFAULT-CAR))
 (508 12 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (504 168 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (504 168 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (436 436 (:REWRITE DEFAULT-+-1))
 (370 370 (:LINEAR LEN-WHEN-PREFIXP))
 (364 12 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (286 286 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (244 24 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (215 155 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (212 140 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (206 109 (:REWRITE DEFAULT-<-2))
 (168 168 (:LINEAR POSITION-WHEN-MEMBER))
 (168 168 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (161 109 (:REWRITE DEFAULT-<-1))
 (149 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (149 80 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (130 5 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (124 36 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (108 36 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (96 96 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (86 86 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (86 86 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (86 86 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (86 86 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (70 34 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (70 34 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (51 24 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (48 48 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (48 48 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (48 24 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (48 12 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (36 36 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (36 24 (:REWRITE NFIX-WHEN-NATP))
 (36 12 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (36 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (24 24 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (24 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (24 12 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (24 12 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (12 12 (:TYPE-PRESCRIPTION ABS-FS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (12 12 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 )
(COLLAPSE-OF-TRUE-LIST-FIX
 (153636 336 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (150043 1314 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (124068 440 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (118356 1098 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (96843 1152 (:REWRITE LEN-WHEN-PREFIXP))
 (66124 1098 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (60691 100 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (54503 7831 (:DEFINITION LEN))
 (49340 1710 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (45554 746 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (44792 160 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (41934 596 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (41285 8377 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (40474 458 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (36059 16045 (:REWRITE DEFAULT-CDR))
 (35556 232 (:DEFINITION NTHCDR))
 (31323 420 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (31040 160 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (23960 3369 (:DEFINITION ASSOC-EQUAL))
 (20283 1152 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (19780 100 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (17856 670 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (17704 792 (:REWRITE NFIX-WHEN-ZP))
 (17364 17364 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (17360 160 (:DEFINITION MEMBER-EQUAL))
 (16100 100 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (16038 8207 (:REWRITE DEFAULT-+-2))
 (14240 320 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (12610 262 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (12207 4069 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12207 4069 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (11880 1144 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (11604 3564 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (11566 11353 (:REWRITE DEFAULT-CAR))
 (10365 3455 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (9800 378 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (9600 320 (:DEFINITION NATP))
 (9280 320 (:REWRITE SUBSETP-CAR-MEMBER))
 (9183 295 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (8640 1440 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (8616 8616 (:LINEAR LEN-WHEN-PREFIXP))
 (8207 8207 (:REWRITE DEFAULT-+-1))
 (7932 661 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (7360 320 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (6682 6682 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5949 661 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5920 320 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (5310 3003 (:REWRITE DEFAULT-<-2))
 (4814 548 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4640 640 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (4155 3003 (:REWRITE DEFAULT-<-1))
 (4069 4069 (:LINEAR POSITION-WHEN-MEMBER))
 (4069 4069 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4000 320 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (4000 320 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (3975 670 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (3564 3564 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3440 3042 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (3420 3420 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (3317 2015 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3314 670 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (3234 121 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (3042 3042 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (3040 3040 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2814 1710 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2616 1852 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (2443 1018 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (2443 1018 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1992 670 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (1860 1860 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1712 1712 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1632 544 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1430 1430 (:TYPE-PRESCRIPTION CTX-APP))
 (1340 1340 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1322 1322 (:TYPE-PRESCRIPTION STRING-LISTP))
 (1322 1322 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (1322 1322 (:TYPE-PRESCRIPTION D-E-P))
 (1322 1322 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1322 661 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1236 1236 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1192 596 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1188 792 (:REWRITE NFIX-WHEN-NATP))
 (1172 1172 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1098 1098 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1098 1098 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1098 1098 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1098 1098 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (960 480 (:REWRITE SET-EQUIV-ASYM))
 (884 404 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (884 404 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (800 800 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (800 800 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (800 320 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (756 378 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (672 672 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (670 670 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (661 661 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (661 661 (:REWRITE SET::IN-SET))
 (661 661 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (640 640 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (640 640 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (640 640 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (569 320 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (564 188 (:REWRITE COMMUTATIVITY-OF-+))
 (480 480 (:TYPE-PRESCRIPTION SET-EQUIV))
 (480 480 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (480 480 (:REWRITE SUBSETP-TRANS2))
 (480 480 (:REWRITE SUBSETP-TRANS))
 (480 262 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (454 454 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (384 384 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (360 360 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (360 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (336 336 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (324 36 (:REWRITE ASSOC-OF-TRUE-LIST-FIX))
 (320 320 (:TYPE-PRESCRIPTION NATP))
 (320 320 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (320 320 (:REWRITE SUBSETP-OF-CDR))
 (320 320 (:REWRITE SUBSETP-MEMBER . 4))
 (320 320 (:REWRITE SUBSETP-MEMBER . 3))
 (320 320 (:REWRITE SUBSETP-MEMBER . 2))
 (320 320 (:REWRITE SUBSETP-MEMBER . 1))
 (320 320 (:REWRITE MEMBER-WHEN-ATOM))
 (320 320 (:REWRITE INTERSECTP-MEMBER . 3))
 (320 320 (:REWRITE INTERSECTP-MEMBER . 2))
 (320 320 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (320 30 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (295 295 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (262 262 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (245 10 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (242 242 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (242 242 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (220 10 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (216 9 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (209 209 (:TYPE-PRESCRIPTION FRAME-VAL))
 (208 208 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (192 192 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (170 170 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (166 166 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (166 166 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (161 161 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (160 160 (:REWRITE SUBSETP-REFL))
 (160 20 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (115 10 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (112 112 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (110 110 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (100 20 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (88 4 (:REWRITE FRAME-VAL-OF-FIELDS))
 (84 4 (:REWRITE FRAME-VAL-FIX-WHEN-FRAME-VAL-P))
 (72 9 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (52 52 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (52 4 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (40 20 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (24 4 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (20 20 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (16 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (10 10 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (10 10 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (9 9 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (8 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL-FIX$INLINE))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 )
(LIST-EQUIV-IMPLIES-EQUAL-COLLAPSE-1
 (45 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (28 2 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (24 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (12 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (9 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (9 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (7 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5 1 (:DEFINITION LEN))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(WHEN-ZP-SRC-OF-1ST-COLLAPSE-1
 (252 84 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (57 1 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (48 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (43 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (31 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (21 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (18 4 (:REWRITE DEFAULT-CDR))
 (11 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 6 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(COLLAPSE-ITER-IS-COLLAPSE
 (93436 168 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (81301 855 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (71284 636 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (62367 254 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (56329 783 (:REWRITE LEN-WHEN-PREFIXP))
 (36931 636 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (31360 48 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (30847 399 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (27821 510 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (25229 371 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (24702 88 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (24412 28 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (22704 108 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (22497 2687 (:DEFINITION ASSOC-EQUAL))
 (21870 3149 (:DEFINITION LEN))
 (20501 127 (:DEFINITION NTHCDR))
 (16640 640 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (15605 254 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (13795 233 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (12753 4716 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12426 108 (:DEFINITION MEMBER-EQUAL))
 (11592 216 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (11464 56 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (11358 901 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (11264 783 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10424 56 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (9879 299 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (9528 152 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (9115 2613 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8948 8885 (:REWRITE DEFAULT-CAR))
 (7749 58 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (7422 218 (:DEFINITION NATP))
 (6964 2322 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6566 3417 (:REWRITE DEFAULT-+-2))
 (5952 216 (:REWRITE SUBSETP-CAR-MEMBER))
 (5904 216 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (5520 936 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (5374 5374 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4788 4788 (:LINEAR LEN-WHEN-PREFIXP))
 (3852 2216 (:REWRITE DEFAULT-<-2))
 (3732 204 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3696 216 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (3417 3417 (:REWRITE DEFAULT-+-1))
 (3168 216 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2999 2216 (:REWRITE DEFAULT-<-1))
 (2784 384 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (2613 2613 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2322 2322 (:LINEAR POSITION-WHEN-MEMBER))
 (2322 2322 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2089 391 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2055 1194 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1944 1944 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1761 1113 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1606 6 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (1521 6 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1))
 (1470 609 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1470 609 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1440 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (1296 399 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1280 1280 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1280 1280 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1036 1036 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1028 1028 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1020 510 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1014 338 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (868 868 (:TYPE-PRESCRIPTION CTX-APP))
 (806 806 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (798 798 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (790 411 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (654 654 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (636 636 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (636 636 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (636 636 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (636 636 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (624 624 (:TYPE-PRESCRIPTION STRIP-CARS))
 (624 312 (:REWRITE SET-EQUIV-ASYM))
 (602 299 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (540 540 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (540 540 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (507 507 (:TYPE-PRESCRIPTION ABS-FS-P))
 (504 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (492 204 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (470 233 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (468 432 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (432 432 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (432 432 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (411 411 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (408 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (394 56 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (381 127 (:REWRITE COMMUTATIVITY-OF-+))
 (372 12 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (336 336 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (333 171 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (333 171 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (312 312 (:TYPE-PRESCRIPTION SET-EQUIV))
 (308 308 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (300 300 (:REWRITE SUBSETP-TRANS2))
 (300 300 (:REWRITE SUBSETP-TRANS))
 (288 288 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (288 216 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (270 108 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (260 48 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (253 253 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (252 216 (:REWRITE MEMBER-WHEN-ATOM))
 (240 204 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (236 16 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (233 233 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (228 44 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (218 218 (:TYPE-PRESCRIPTION NATP))
 (216 216 (:REWRITE SUBSETP-OF-CDR))
 (216 216 (:REWRITE SUBSETP-MEMBER . 4))
 (216 216 (:REWRITE SUBSETP-MEMBER . 3))
 (216 216 (:REWRITE SUBSETP-MEMBER . 2))
 (216 216 (:REWRITE SUBSETP-MEMBER . 1))
 (216 216 (:REWRITE INTERSECTP-MEMBER . 3))
 (216 216 (:REWRITE INTERSECTP-MEMBER . 2))
 (216 8 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (200 16 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (188 188 (:TYPE-PRESCRIPTION FRAME-VAL))
 (188 48 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (188 48 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (180 180 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (180 12 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (168 168 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (156 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (152 152 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (127 127 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (127 127 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (127 127 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (108 4 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (100 100 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (96 96 (:REWRITE SUBSETP-REFL))
 (94 12 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (84 84 (:REWRITE CONSP-OF-STRIP-CARS))
 (81 81 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (72 72 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (72 12 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (60 60 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (56 4 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (48 48 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (48 48 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (48 12 (:DEFINITION STRIP-CARS))
 (48 8 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (44 44 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (40 8 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (36 36 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (36 16 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (24 24 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (24 24 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (24 8 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (20 20 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (16 16 (:TYPE-PRESCRIPTION STRING-LISTP))
 (16 16 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (16 16 (:TYPE-PRESCRIPTION D-E-P))
 (16 16 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (16 8 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (12 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (8 8 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (8 8 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE SET::IN-SET))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (4 4 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:REWRITE MV-NTH-OF-CONS))
 )
(COLLAPSE-OF-COLLAPSE-ITER
 (66360 136 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (55273 531 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (49364 672 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (44099 395 (:REWRITE LEN-WHEN-PREFIXP))
 (42655 126 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (34667 672 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (28832 4139 (:DEFINITION LEN))
 (22281 3272 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16569 63 (:DEFINITION NTHCDR))
 (13497 126 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (8946 252 (:REWRITE NFIX-WHEN-ZP))
 (8573 5690 (:REWRITE DEFAULT-CDR))
 (8488 4349 (:REWRITE DEFAULT-+-2))
 (7064 130 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (6564 6564 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5934 375 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5309 125 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (5026 395 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4848 668 (:DEFINITION ASSOC-EQUAL))
 (4632 1544 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4632 1544 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4349 4349 (:REWRITE DEFAULT-+-1))
 (3809 125 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3573 1191 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3456 3456 (:LINEAR LEN-WHEN-PREFIXP))
 (2559 250 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2450 6 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (2344 2284 (:REWRITE DEFAULT-CAR))
 (2256 4 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1784 955 (:REWRITE DEFAULT-<-2))
 (1664 58 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (1544 1544 (:LINEAR POSITION-WHEN-MEMBER))
 (1544 1544 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1431 870 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1360 1336 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1350 955 (:REWRITE DEFAULT-<-1))
 (1314 609 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1314 609 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1309 375 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1089 729 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (808 69 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (713 335 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (713 335 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (672 672 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (672 672 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (672 672 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (672 672 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (624 72 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (582 194 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (500 500 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (500 500 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (500 250 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (500 125 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (486 252 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (378 252 (:REWRITE NFIX-WHEN-NATP))
 (375 375 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (375 125 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (375 125 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (272 272 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (260 130 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (250 250 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (250 125 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (250 125 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (199 199 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (189 63 (:REWRITE COMMUTATIVITY-OF-+))
 (160 64 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (136 136 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (130 130 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (125 125 (:TYPE-PRESCRIPTION ABS-FS-P))
 (125 125 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (123 123 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (116 116 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (116 116 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (96 96 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-COLLAPSE-THIS))
 (96 96 (:TYPE-PRESCRIPTION COLLAPSE-THIS))
 (64 64 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (64 64 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (63 63 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (61 61 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (61 61 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (60 60 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (4 4 (:TYPE-PRESCRIPTION FRAME-VAL))
 (4 4 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (2 2 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (2 2 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 )
(COLLAPSE-ITER-CORRECTNESS-1
 (77 10 (:DEFINITION LEN))
 (30 1 (:REWRITE NFIX-WHEN-ZP))
 (26 1 (:REWRITE ZP-OPEN))
 (20 10 (:REWRITE DEFAULT-+-2))
 (13 12 (:REWRITE DEFAULT-CDR))
 (10 10 (:REWRITE DEFAULT-+-1))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 2 (:REWRITE DEFAULT-<-2))
 (3 2 (:REWRITE DEFAULT-CAR))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1 1 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1 1 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1 1 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(LEN-OF-FRAME->FRAME-OF-COLLAPSE-ITER
 (14455 46 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (14347 292 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (14317 225 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (12640 292 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (8591 169 (:REWRITE LEN-WHEN-PREFIXP))
 (8231 1342 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6049 23 (:DEFINITION NTHCDR))
 (5403 26 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (4937 46 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (4668 2867 (:REWRITE DEFAULT-CDR))
 (4498 62 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (3349 30 (:DEFINITION MEMBER-EQUAL))
 (3326 1701 (:REWRITE DEFAULT-+-2))
 (3296 152 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3120 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (2993 425 (:DEFINITION ASSOC-EQUAL))
 (2800 2800 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2752 54 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (2538 846 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2532 169 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2524 147 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2306 147 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2061 49 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1917 639 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1917 639 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1811 1727 (:REWRITE DEFAULT-CAR))
 (1758 52 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1714 1701 (:REWRITE DEFAULT-+-1))
 (1589 58 (:DEFINITION NATP))
 (1578 1578 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1406 1406 (:LINEAR LEN-WHEN-PREFIXP))
 (1186 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (1144 52 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1104 2 (:DEFINITION REMOVE-EQUAL))
 (1089 59 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (983 98 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (963 86 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (948 26 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (870 26 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (850 850 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (832 52 (:REWRITE SUBSETP-CAR-MEMBER))
 (819 48 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (815 455 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (805 466 (:REWRITE DEFAULT-<-2))
 (772 31 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (729 516 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (728 156 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (647 466 (:REWRITE DEFAULT-<-1))
 (639 639 (:LINEAR POSITION-WHEN-MEMBER))
 (639 639 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (624 52 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (560 104 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (545 167 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (512 16 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (506 269 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (506 269 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (468 18 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (404 104 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (404 104 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (390 26 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (384 20 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (366 122 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (339 147 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (320 193 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (304 304 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (294 294 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (292 292 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (292 292 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (292 292 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (292 292 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (273 135 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (273 135 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (260 260 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (247 60 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (213 26 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (208 52 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (206 92 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (201 192 (:REWRITE CONSP-OF-STRIP-CARS))
 (196 196 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (196 196 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (196 98 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (193 193 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (182 104 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (178 40 (:DEFINITION STRIP-CARS))
 (171 171 (:TYPE-PRESCRIPTION ABS-FS-P))
 (167 167 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (156 156 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (156 26 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (152 152 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (150 60 (:REWRITE MEMBER-WHEN-ATOM))
 (147 49 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (137 137 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (108 54 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (104 104 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (104 104 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (104 104 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (104 104 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (104 52 (:REWRITE SET-EQUIV-ASYM))
 (104 26 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (100 100 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (98 49 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (79 79 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (78 78 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (60 60 (:REWRITE SUBSETP-MEMBER . 4))
 (60 60 (:REWRITE SUBSETP-MEMBER . 3))
 (60 60 (:REWRITE SUBSETP-MEMBER . 2))
 (60 60 (:REWRITE SUBSETP-MEMBER . 1))
 (60 60 (:REWRITE INTERSECTP-MEMBER . 3))
 (60 60 (:REWRITE INTERSECTP-MEMBER . 2))
 (60 60 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (58 58 (:TYPE-PRESCRIPTION NATP))
 (54 54 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (52 52 (:TYPE-PRESCRIPTION SET-EQUIV))
 (52 52 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (52 52 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (52 52 (:REWRITE SUBSETP-OF-CDR))
 (52 52 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (52 52 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (36 36 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (36 36 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (28 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (26 26 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (26 26 (:REWRITE SUBSETP-TRANS2))
 (26 26 (:REWRITE SUBSETP-TRANS))
 (26 26 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (26 26 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (23 23 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (23 23 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (23 23 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (19 19 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (18 18 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (17 17 (:REWRITE DEFAULT-UNARY-MINUS))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (10 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1 1 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 )
(ABS-TOP-NAMES
 (30 10 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (10 10 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(ABS-TOP-NAMES-DEFINITION
 (2939 12 (:REWRITE REMOVE-WHEN-ABSENT))
 (1642 6 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1540 6 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1350 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1273 24 (:DEFINITION MEMBER-EQUAL))
 (907 37 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (528 25 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (486 12 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (433 1 (:REWRITE MEMBER-OF-CONS))
 (348 12 (:DEFINITION NATP))
 (284 6 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (264 12 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (251 24 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (241 29 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (192 12 (:REWRITE SUBSETP-CAR-MEMBER))
 (168 36 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (164 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (144 12 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (139 92 (:REWRITE DEFAULT-CAR))
 (134 10 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (132 24 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (132 24 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (132 24 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (120 120 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (108 4 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (103 74 (:REWRITE DEFAULT-CDR))
 (102 102 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (101 29 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (91 51 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (90 6 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (81 36 (:REWRITE MEMBER-WHEN-ATOM))
 (79 79 (:REWRITE CONSP-OF-STRIP-CARS))
 (78 14 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (72 12 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (60 60 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (60 60 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (60 8 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (60 6 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (58 58 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (54 15 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (50 11 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (49 49 (:REWRITE SUBSETP-MEMBER . 2))
 (49 49 (:REWRITE SUBSETP-MEMBER . 1))
 (48 12 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (48 8 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (48 8 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (45 45 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (45 45 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (44 4 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (42 24 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (41 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (40 40 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (40 40 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (37 37 (:REWRITE SUBSETP-MEMBER . 4))
 (37 37 (:REWRITE SUBSETP-MEMBER . 3))
 (37 37 (:REWRITE INTERSECTP-MEMBER . 3))
 (37 37 (:REWRITE INTERSECTP-MEMBER . 2))
 (32 4 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (30 30 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (30 30 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (29 29 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (28 28 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (27 13 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (24 24 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (24 24 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (24 12 (:REWRITE SET-EQUIV-ASYM))
 (24 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (22 22 (:TYPE-PRESCRIPTION ABS-FS-P))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (20 20 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (20 20 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (19 1 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (15 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12 12 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (12 12 (:REWRITE SUBSETP-OF-CDR))
 (12 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (6 6 (:REWRITE MEMBER-OF-STRIP-CARS))
 (6 6 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 )
(ABSFAT-SUBSETP-GUARD-LEMMA-1
 (3520 193 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2562 185 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2340 83 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2197 12 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (2161 12 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1673 12 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1447 53 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (743 185 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (534 22 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (512 44 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (382 382 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (318 262 (:REWRITE DEFAULT-CDR))
 (292 22 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (292 22 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (219 219 (:TYPE-PRESCRIPTION ABS-FS-P))
 (195 193 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (185 185 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (177 12 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (163 43 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (154 110 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (150 18 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (143 13 (:DEFINITION LEN))
 (138 24 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (132 66 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (132 36 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (132 22 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (129 12 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (120 120 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (110 11 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (108 18 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (106 30 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (88 18 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (72 24 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (66 66 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (66 11 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (65 39 (:REWRITE DEFAULT-<-1))
 (64 64 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (58 58 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (48 48 (:TYPE-PRESCRIPTION M1-FILE-P))
 (48 48 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (48 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (44 44 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (44 22 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (39 39 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (39 39 (:REWRITE DEFAULT-<-2))
 (39 26 (:REWRITE STR::CONSP-OF-EXPLODE))
 (38 38 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (38 38 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (36 36 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (36 12 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (32 32 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (26 13 (:REWRITE DEFAULT-+-2))
 (24 24 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (24 24 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (19 19 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (19 19 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (19 19 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (14 14 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (13 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (13 13 (:REWRITE DEFAULT-+-1))
 (11 11 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11 11 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 )
(ABSFAT-SUBSETP
 (11742 6 (:DEFINITION ABSFAT-SUBSETP))
 (7081 496 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (6500 24 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (6070 135 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (5374 162 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5064 292 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3549 1197 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3519 126 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2310 47 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (2155 128 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2130 130 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2107 270 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1668 46 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (1537 39 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1428 28 (:REWRITE SUBSETP-CAR-MEMBER))
 (1389 63 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1364 14 (:DEFINITION MEMBER-EQUAL))
 (1295 76 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1064 180 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (992 992 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (980 62 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (866 8 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (838 454 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (810 175 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (792 142 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (770 770 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (761 142 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (761 142 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (606 63 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (545 24 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (523 78 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (496 496 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (469 469 (:TYPE-PRESCRIPTION M1-FILE-P))
 (456 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (454 454 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (438 438 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (412 122 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (374 374 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (320 320 (:TYPE-PRESCRIPTION ABS-FS-P))
 (288 12 (:DEFINITION NATP))
 (284 284 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (254 122 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (253 253 (:REWRITE DEFAULT-CAR))
 (252 12 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (244 244 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (240 12 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (230 128 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (206 188 (:REWRITE DEFAULT-CDR))
 (196 16 (:DEFINITION ASSOC-EQUAL))
 (185 63 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (180 180 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (180 180 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (180 180 (:REWRITE SUBSETP-TRANS2))
 (180 180 (:REWRITE SUBSETP-TRANS))
 (175 175 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (171 54 (:REWRITE DEFAULT-+-2))
 (156 156 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (156 156 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (156 24 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (144 12 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (142 142 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (142 142 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (122 122 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (120 12 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (112 112 (:TYPE-PRESCRIPTION ACL2-COUNT-OF-CONSP-POSITIVE))
 (98 54 (:REWRITE DEFAULT-+-1))
 (92 28 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (84 24 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (76 76 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (66 6 (:DEFINITION LEN))
 (48 48 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (48 48 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (48 48 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (40 10 (:DEFINITION INTEGER-ABS))
 (35 3 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (28 28 (:REWRITE SUBSETP-MEMBER . 2))
 (28 28 (:REWRITE SUBSETP-MEMBER . 1))
 (28 23 (:REWRITE DEFAULT-<-2))
 (25 23 (:REWRITE DEFAULT-<-1))
 (24 24 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (20 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (18 18 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (18 12 (:REWRITE STR::CONSP-OF-EXPLODE))
 (18 10 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (18 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (14 14 (:TYPE-PRESCRIPTION ATOM))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE MEMBER-WHEN-ATOM))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (10 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (8 8 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (6 1 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (5 5 (:REWRITE DEFAULT-REALPART))
 (5 5 (:REWRITE DEFAULT-NUMERATOR))
 (5 5 (:REWRITE DEFAULT-IMAGPART))
 (5 5 (:REWRITE DEFAULT-DENOMINATOR))
 (4 1 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (2 2 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 )
(ABSFAT-SUBSETP-CORRECTNESS-1
 (28704 267 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (23054 1711 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (19206 120 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (18605 356 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (14550 673 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (10337 248 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (9245 246 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (8809 246 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (7691 621 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6812 1292 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6762 200 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (6421 1319 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (5457 968 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (4414 33 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (4202 155 (:REWRITE SUBSETP-CAR-MEMBER))
 (3944 69 (:DEFINITION MEMBER-EQUAL))
 (3260 40 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (3218 50 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (3077 1183 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2573 625 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (2532 120 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (2154 141 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1981 1981 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1875 625 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1693 1693 (:REWRITE DEFAULT-CAR))
 (1620 380 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1534 1534 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1400 200 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (1242 1242 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1232 248 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1214 1214 (:REWRITE SUBSETP-TRANS2))
 (1214 1214 (:REWRITE SUBSETP-TRANS))
 (1197 1197 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1197 1197 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1188 42 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1109 1090 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1085 1085 (:REWRITE DEFAULT-CDR))
 (932 67 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (782 701 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (744 42 (:DEFINITION NATP))
 (701 701 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (674 674 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (620 124 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (618 42 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (378 60 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (371 50 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (360 42 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (356 120 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (351 27 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (255 102 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (248 248 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (248 248 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (248 248 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (246 246 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (198 33 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (185 74 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (185 74 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (180 18 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (178 151 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (164 159 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (159 159 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (152 76 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (140 140 (:REWRITE SUBSETP-MEMBER . 2))
 (126 36 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (124 124 (:TYPE-PRESCRIPTION ATOM))
 (120 120 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (120 120 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (120 120 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (84 42 (:REWRITE SET-EQUIV-ASYM))
 (62 62 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (60 60 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION SET-EQUIV))
 (42 42 (:TYPE-PRESCRIPTION NATP))
 (42 42 (:REWRITE SUBSETP-OF-CDR))
 (42 42 (:REWRITE SUBSETP-MEMBER . 4))
 (42 42 (:REWRITE INTERSECTP-MEMBER . 3))
 (42 42 (:REWRITE INTERSECTP-MEMBER . 2))
 (42 42 (:REWRITE DEFAULT-<-2))
 (42 42 (:REWRITE DEFAULT-<-1))
 (38 38 (:REWRITE MEMBER-WHEN-ATOM))
 (29 29 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (27 27 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (13 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (5 2 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 )
(ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-1
 (10240 283 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (8860 6 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (8189 373 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (7435 84 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6648 102 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (6408 57 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4980 15 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (3157 30 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (1908 102 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1665 60 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (1542 102 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1440 670 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1344 45 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1246 70 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1165 77 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1116 81 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1003 160 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (928 727 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (912 304 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (890 172 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (812 48 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (752 304 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (716 48 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (671 202 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (579 15 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (570 339 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (525 39 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (516 15 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (480 367 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (474 237 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (464 32 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (450 36 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (444 12 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (423 111 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (423 111 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (396 15 (:DEFINITION MEMBER-EQUAL))
 (372 372 (:TYPE-PRESCRIPTION M1-FILE-P))
 (370 370 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (353 83 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (348 24 (:REWRITE SUBSETP-CAR-MEMBER))
 (339 339 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (324 83 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (324 83 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (312 312 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (312 156 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (285 285 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (279 279 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (267 111 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (263 263 (:TYPE-PRESCRIPTION ABS-FS-P))
 (257 15 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (253 247 (:REWRITE DEFAULT-CAR))
 (252 24 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (237 237 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (202 202 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (193 160 (:REWRITE DEFAULT-CDR))
 (190 190 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (166 166 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (156 156 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (156 48 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (156 48 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (144 12 (:REWRITE ABS-FS-P-OF-APPEND))
 (126 36 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (120 6 (:DEFINITION ATOM))
 (119 77 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (112 112 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (112 112 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (112 112 (:REWRITE SUBSETP-TRANS2))
 (112 112 (:REWRITE SUBSETP-TRANS))
 (84 84 (:TYPE-PRESCRIPTION ATOM))
 (75 75 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (66 66 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (62 62 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (62 3 (:REWRITE ABS-NO-DUPS-P-OF-APPEND . 1))
 (60 12 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (54 54 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (54 54 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (48 24 (:REWRITE SET-EQUIV-ASYM))
 (41 23 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (39 39 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (36 12 (:REWRITE CAR-OF-APPEND))
 (30 30 (:REWRITE SUBSETP-MEMBER . 2))
 (30 30 (:REWRITE SUBSETP-MEMBER . 1))
 (24 24 (:TYPE-PRESCRIPTION SET-EQUIV))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (24 24 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (24 24 (:REWRITE SUBSETP-OF-CDR))
 (24 12 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (23 23 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (18 18 (:REWRITE CONSP-OF-APPEND))
 (11 11 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (9 9 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (6 6 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (3 3 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 )
(ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-4
 (47633 3142 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (44593 1028 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (44234 2978 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (40894 1345 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (40666 369 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (24448 508 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (15405 1234 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (14240 223 (:DEFINITION MEMBER-EQUAL))
 (14097 712 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (13571 1127 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (13092 301 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (11965 3 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (11826 12 (:REWRITE SUBSETP-OF-REMOVE1))
 (11666 738 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (10347 472 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (9110 426 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (8467 267 (:REWRITE SUBSETP-MEMBER . 4))
 (8439 320 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8126 15 (:REWRITE ABS-FS-P-OF-APPEND))
 (6811 6226 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6794 48 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (6684 2228 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6673 593 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (6502 2228 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (6502 293 (:REWRITE SUBSETP-CAR-MEMBER))
 (6440 748 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6353 1533 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6298 28 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (5730 712 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5666 28 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (5594 286 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (5532 1104 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5285 271 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (4992 92 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (4674 369 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (4236 16 (:REWRITE SUBSETP-OF-REMOVE2))
 (4151 503 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4036 60 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3989 3989 (:TYPE-PRESCRIPTION M1-FILE-P))
 (3740 466 (:REWRITE SUBSETP-MEMBER . 2))
 (3599 59 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (3506 1562 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3342 12 (:REWRITE REMOVE-WHEN-ABSENT))
 (3247 3142 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3169 3169 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3141 29 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (3051 338 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2951 2711 (:REWRITE DEFAULT-CAR))
 (2872 152 (:DEFINITION NATP))
 (2692 338 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2466 161 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (2251 265 (:DEFINITION ASSOC-EQUAL))
 (2208 2208 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2192 152 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (2173 318 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2172 152 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2041 1537 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1964 1597 (:REWRITE DEFAULT-CDR))
 (1876 200 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1867 1118 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1816 712 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1782 8 (:REWRITE MEMBER-OF-REMOVE))
 (1746 15 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (1744 4 (:DEFINITION REMOVE-EQUAL))
 (1729 485 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1248 152 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1200 200 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1138 36 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (1118 1118 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1106 986 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1104 1104 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1099 1001 (:REWRITE SUBSETP-TRANS))
 (1092 1092 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1022 986 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1004 752 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1001 1001 (:REWRITE SUBSETP-TRANS2))
 (993 494 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (944 944 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (812 62 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (706 706 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (679 679 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (676 64 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (646 271 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (583 69 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (574 574 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (574 574 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (552 72 (:DEFINITION BINARY-APPEND))
 (544 376 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (500 170 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (494 494 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (472 472 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (436 28 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (428 248 (:REWRITE MEMBER-WHEN-ATOM))
 (392 392 (:REWRITE CONSP-OF-STRIP-CARS))
 (392 112 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (392 112 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (392 112 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (388 304 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (368 92 (:DEFINITION STRIP-CARS))
 (356 20 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (352 28 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (320 152 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (304 304 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (304 304 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (299 64 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (274 1 (:REWRITE ABS-ADDRS-OF-APPEND))
 (267 267 (:REWRITE INTERSECTP-MEMBER . 3))
 (267 267 (:REWRITE INTERSECTP-MEMBER . 2))
 (258 16 (:REWRITE CONSP-OF-APPEND))
 (176 36 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (168 168 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (156 156 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (154 144 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (152 152 (:TYPE-PRESCRIPTION NATP))
 (152 152 (:REWRITE DEFAULT-<-2))
 (152 152 (:REWRITE DEFAULT-<-1))
 (140 140 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (132 132 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (112 112 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (112 112 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (112 112 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (96 16 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (92 46 (:REWRITE SET-EQUIV-ASYM))
 (84 84 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (75 75 (:TYPE-PRESCRIPTION ATOM))
 (60 20 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (59 59 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (57 57 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (56 56 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (56 56 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (56 56 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (55 11 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 1))
 (52 20 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (48 48 (:REWRITE MEMBER-OF-STRIP-CARS))
 (48 48 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (48 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (46 46 (:TYPE-PRESCRIPTION SET-EQUIV))
 (40 40 (:REWRITE SUBSETP-OF-CDR))
 (36 36 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (32 32 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (32 16 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (24 6 (:DEFINITION NULL))
 (24 2 (:REWRITE STRINGP-OF-APPEND))
 (16 16 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (6 6 (:TYPE-PRESCRIPTION NULL))
 (4 4 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 1))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (3 3 (:REWRITE ADDRS-AT-OF-APPEND-LEMMA-1))
 )
(ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-5
 (89599 2895 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (89176 3832 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (80788 309 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (67479 1359 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (57680 1037 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (30760 1457 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (29905 392 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (26360 877 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (25724 103 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (24823 1377 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (22698 103 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (22410 96 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (21402 425 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (20163 4 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (16214 2099 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16158 711 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (13954 7614 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (13113 21 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (12344 556 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (11344 554 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (9291 540 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (8841 1117 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (7923 240 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (7849 1500 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (7157 309 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (5472 412 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (4932 8 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (4717 106 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (4597 4052 (:REWRITE DEFAULT-CDR))
 (3909 3828 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3669 3669 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3583 3568 (:REWRITE DEFAULT-CAR))
 (3530 1925 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3403 577 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3403 577 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3315 208 (:REWRITE SUBSETP-CAR-MEMBER))
 (3244 106 (:DEFINITION MEMBER-EQUAL))
 (3225 579 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3103 3103 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2573 2573 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2357 649 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2099 2099 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1926 9 (:REWRITE ABS-FS-P-OF-APPEND))
 (1925 1925 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1892 172 (:DEFINITION LEN))
 (1794 148 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1769 116 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (1536 1536 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1534 1534 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1514 123 (:DEFINITION ASSOC-EQUAL))
 (1424 356 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (1419 169 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1410 148 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1295 315 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1295 315 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1278 426 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1160 368 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1156 1156 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1043 163 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1035 169 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (984 540 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (980 980 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (980 490 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (943 943 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (943 943 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (943 943 (:REWRITE SUBSETP-TRANS2))
 (943 943 (:REWRITE SUBSETP-TRANS))
 (924 35 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (854 854 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (854 854 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (854 35 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (836 494 (:REWRITE DEFAULT-<-1))
 (805 315 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (740 37 (:DEFINITION ATOM))
 (712 712 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (704 176 (:DEFINITION STRIP-CARS))
 (646 2 (:REWRITE ABS-NO-DUPS-P-OF-APPEND . 1))
 (612 306 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (556 556 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (533 34 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (530 530 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (516 516 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (516 344 (:REWRITE STR::CONSP-OF-EXPLODE))
 (494 494 (:REWRITE DEFAULT-<-2))
 (490 490 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (473 105 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (440 220 (:REWRITE SET-EQUIV-ASYM))
 (356 356 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (348 348 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (344 172 (:REWRITE DEFAULT-+-2))
 (341 341 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (338 338 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (336 336 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (332 332 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (332 332 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (306 306 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (287 15 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (233 3 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-1))
 (220 220 (:TYPE-PRESCRIPTION SET-EQUIV))
 (220 220 (:REWRITE SUBSETP-OF-CDR))
 (212 212 (:REWRITE SUBSETP-MEMBER . 2))
 (212 212 (:REWRITE SUBSETP-MEMBER . 1))
 (208 208 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (208 4 (:REWRITE NAT-LISTP-OF-BINARY-APPEND))
 (177 163 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (172 172 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (172 172 (:REWRITE DEFAULT-+-1))
 (169 169 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (157 157 (:TYPE-PRESCRIPTION ATOM))
 (123 123 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (106 106 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (105 5 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (105 5 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (105 5 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (100 24 (:DEFINITION BINARY-APPEND))
 (75 10 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (75 10 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (75 10 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (62 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (45 9 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (45 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-48))
 (30 30 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (30 30 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (30 30 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 8 (:REWRITE CAR-OF-APPEND))
 (15 15 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (15 15 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (15 15 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (15 15 (:REWRITE CONSP-OF-APPEND))
 (10 10 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4 4 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(INDUCTION-SCHEME
 (946 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (742 84 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (656 57 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (546 19 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (537 26 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (445 49 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (284 8 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (268 14 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (264 132 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (256 256 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (252 84 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (205 19 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (196 14 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (188 8 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (171 54 (:REWRITE DEFAULT-+-2))
 (151 19 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (144 144 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (144 144 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (144 14 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (120 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (114 114 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (114 23 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (112 112 (:TYPE-PRESCRIPTION ACL2-COUNT-OF-CONSP-POSITIVE))
 (98 54 (:REWRITE DEFAULT-+-1))
 (93 3 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (82 14 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (79 1 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-5))
 (69 1 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-4))
 (67 55 (:REWRITE DEFAULT-CAR))
 (66 6 (:DEFINITION LEN))
 (64 46 (:REWRITE DEFAULT-CDR))
 (61 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (61 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (59 13 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (57 57 (:TYPE-PRESCRIPTION M1-FILE-P))
 (57 57 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (52 52 (:TYPE-PRESCRIPTION ABS-FS-P))
 (44 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (40 10 (:DEFINITION INTEGER-ABS))
 (35 4 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (35 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (34 2 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (32 32 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (32 32 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (23 23 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (23 14 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (22 14 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (21 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (20 20 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (20 20 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (20 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (20 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (18 18 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (18 12 (:REWRITE STR::CONSP-OF-EXPLODE))
 (16 16 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (16 11 (:REWRITE DEFAULT-<-2))
 (16 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (14 14 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (14 14 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (13 11 (:REWRITE DEFAULT-<-1))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (10 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (10 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (9 3 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (8 1 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (6 6 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (6 1 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (5 5 (:REWRITE DEFAULT-REALPART))
 (5 5 (:REWRITE DEFAULT-NUMERATOR))
 (5 5 (:REWRITE DEFAULT-IMAGPART))
 (5 5 (:REWRITE DEFAULT-DENOMINATOR))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (2 2 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:TYPE-PRESCRIPTION ATOM))
 (1 1 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 )
(ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-7
 (260581 7196 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (252422 930 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (221943 891 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (204137 9875 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (148441 2574 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (136366 3434 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (129169 1125 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (96242 2424 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (68405 2344 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (59575 55 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-4))
 (50875 3000 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (48219 825 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (38714 2278 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (34924 729 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (34791 4719 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (29134 28 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (29000 706 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (25670 745 (:DEFINITION MEMBER-EQUAL))
 (23129 19440 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (21676 930 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (15248 1255 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (14459 7805 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (14052 119 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (13999 2441 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (13999 2441 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (13994 13196 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (13344 3292 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (12643 706 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (11191 2441 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (10278 9847 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10231 9922 (:REWRITE DEFAULT-CAR))
 (10144 833 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (8306 8306 (:TYPE-PRESCRIPTION M1-FILE-P))
 (8235 2745 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7805 7805 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (7587 7587 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6566 6566 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6020 1030 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5099 1589 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4882 4882 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4678 1030 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4180 2090 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (3702 2278 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (3292 3292 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3288 1564 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3184 1592 (:REWRITE SET-EQUIV-ASYM))
 (3128 3128 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2594 1030 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2139 139 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (2134 88 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (2090 2090 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (1908 1788 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1888 718 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1845 1845 (:REWRITE SUBSETP-TRANS2))
 (1845 1845 (:REWRITE SUBSETP-TRANS))
 (1788 1788 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1752 1752 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1752 1752 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1752 1752 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1678 1678 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1616 1616 (:REWRITE SUBSETP-OF-CDR))
 (1564 1564 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1502 1502 (:REWRITE SUBSETP-MEMBER . 2))
 (1502 1502 (:REWRITE SUBSETP-MEMBER . 1))
 (1403 17 (:REWRITE SUBSETP-OF-CONS))
 (1299 57 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (836 44 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (729 729 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (718 718 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (718 31 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (679 679 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (630 45 (:REWRITE ABS-FS-P-OF-APPEND))
 (620 29 (:REWRITE SUBSETP-APPEND1))
 (446 25 (:DEFINITION NATP))
 (372 27 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-1))
 (371 25 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (319 319 (:TYPE-PRESCRIPTION ATOM))
 (288 12 (:REWRITE ABS-NO-DUPS-P-OF-APPEND . 1))
 (227 36 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (216 25 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (193 11 (:REWRITE MEMBER-OF-BINARY-APPEND))
 (166 134 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (155 5 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-RIGHT))
 (110 110 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (110 11 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (88 88 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (84 21 (:DEFINITION NULL))
 (77 22 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (72 72 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (72 72 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (72 72 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (36 36 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (29 1 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (25 25 (:TYPE-PRESCRIPTION NATP))
 (25 25 (:REWRITE DEFAULT-<-2))
 (25 25 (:REWRITE DEFAULT-<-1))
 (24 24 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (21 21 (:TYPE-PRESCRIPTION NULL))
 (12 12 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (6 1 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (3 3 (:TYPE-PRESCRIPTION INDUCTION-SCHEME))
 (2 2 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(ABSFAT-SUBSETP-REFLEXIVITY
 (45 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (41 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (37 3 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (20 20 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (17 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (13 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (11 11 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (11 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (7 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (6 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1
 (368 22 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (346 10 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (305 22 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (123 11 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (96 22 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (52 52 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (49 6 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (44 44 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (30 24 (:REWRITE DEFAULT-CDR))
 (30 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (28 28 (:TYPE-PRESCRIPTION ABS-FS-P))
 (22 22 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (22 22 (:REWRITE DEFAULT-CAR))
 (22 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (22 2 (:DEFINITION LEN))
 (17 2 (:DEFINITION ALISTP))
 (16 4 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (16 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (10 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (8 4 (:REWRITE DEFAULT-<-1))
 (8 2 (:DEFINITION STRIP-CARS))
 (6 6 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6 4 (:REWRITE STR::CONSP-OF-EXPLODE))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2
 (3951 1317 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3705 247 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3647 120 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3063 29 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (2969 196 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2174 85 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (2032 80 (:REWRITE SUBSETP-CAR-MEMBER))
 (1958 30 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1800 41 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1711 39 (:DEFINITION MEMBER-EQUAL))
 (1476 256 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1359 104 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (858 858 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (811 23 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (790 36 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (756 49 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (752 47 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (737 107 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (555 29 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (540 52 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (490 490 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (408 30 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (392 36 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (383 93 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (348 52 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (339 192 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (332 42 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (330 57 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (322 322 (:TYPE-PRESCRIPTION M1-FILE-P))
 (291 43 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (289 59 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (266 266 (:TYPE-PRESCRIPTION ABS-FS-P))
 (256 256 (:REWRITE SUBSETP-TRANS2))
 (256 256 (:REWRITE SUBSETP-TRANS))
 (254 254 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (254 254 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (249 247 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (230 230 (:REWRITE DEFAULT-CDR))
 (228 59 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (226 58 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (208 80 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (195 43 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (192 192 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (180 20 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (172 12 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (160 160 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (132 52 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (118 118 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (116 116 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (116 116 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (105 93 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (104 8 (:DEFINITION NATP))
 (94 94 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (84 6 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (80 80 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (80 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (79 79 (:REWRITE SUBSETP-MEMBER . 2))
 (77 49 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (70 5 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (66 18 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (58 58 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (58 58 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (58 58 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (50 5 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (48 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (48 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (47 47 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (40 5 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (36 36 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (36 6 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (36 6 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (30 30 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (20 20 (:REWRITE SUBSETP-MEMBER . 4))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 3))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 2))
 (18 18 (:REWRITE MEMBER-WHEN-ATOM))
 (16 16 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16 16 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (16 16 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (12 12 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (9 9 (:TYPE-PRESCRIPTION ATOM))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (6 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (5 5 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 )
(ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3
 (10467 286 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7027 446 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (6605 55 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (6384 2128 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5320 347 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (4173 175 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (3307 78 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (2724 198 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2417 66 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1738 73 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (1624 128 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1566 95 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1537 133 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1501 207 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1280 228 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1242 1242 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1232 53 (:REWRITE SUBSETP-CAR-MEMBER))
 (1231 23 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1225 133 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1116 24 (:DEFINITION MEMBER-EQUAL))
 (949 321 (:REWRITE DEFAULT-CDR))
 (893 55 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (888 888 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (871 159 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (808 808 (:TYPE-PRESCRIPTION M1-FILE-P))
 (801 123 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (659 115 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (655 370 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (650 122 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (548 138 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (544 115 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (538 112 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (535 115 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (496 118 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (490 490 (:TYPE-PRESCRIPTION ABS-FS-P))
 (456 456 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (448 446 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (384 24 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (370 370 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (369 29 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (361 133 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (346 62 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (265 73 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (265 73 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (242 242 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (232 232 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (230 230 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (228 228 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (221 17 (:DEFINITION NATP))
 (218 218 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (174 138 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (170 17 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (159 159 (:REWRITE SUBSETP-TRANS2))
 (159 159 (:REWRITE SUBSETP-TRANS))
 (156 156 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (154 154 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (154 154 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (145 95 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (130 34 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (123 123 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (122 122 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (102 17 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (102 17 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (96 96 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (96 96 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (70 5 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (65 14 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (51 51 (:REWRITE SUBSETP-MEMBER . 2))
 (50 5 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (44 44 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (44 44 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (40 5 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (34 34 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (34 34 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (34 34 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (29 29 (:REWRITE SUBSETP-MEMBER . 4))
 (29 29 (:REWRITE INTERSECTP-MEMBER . 3))
 (29 29 (:REWRITE INTERSECTP-MEMBER . 2))
 (24 24 (:REWRITE MEMBER-WHEN-ATOM))
 (22 22 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (18 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (17 17 (:TYPE-PRESCRIPTION NATP))
 (17 17 (:TYPE-PRESCRIPTION ATOM))
 (17 17 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (17 17 (:REWRITE DEFAULT-<-2))
 (17 17 (:REWRITE DEFAULT-<-1))
 (9 3 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (5 5 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (3 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 )
(ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-4
 (144316 6593 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (144147 7348 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (142373 2270 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (106368 3889 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (104449 844 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (91627 1290 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (77909 2942 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (60047 1091 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (53438 1136 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (35617 2284 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (32628 894 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (31005 10335 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (25688 1446 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (23006 1387 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (21580 742 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (20944 2892 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (16979 2284 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16039 552 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (15526 3114 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (14830 259 (:DEFINITION MEMBER-EQUAL))
 (14692 14692 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (13252 2192 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (13210 2385 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (11919 525 (:REWRITE SUBSETP-CAR-MEMBER))
 (11756 844 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (10748 10748 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (10382 10382 (:TYPE-PRESCRIPTION M1-FILE-P))
 (10205 420 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (9610 2411 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8912 4751 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8075 1602 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (7867 1505 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (7572 1602 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7504 494 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (7350 7348 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (7140 7140 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6228 6228 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (5398 2284 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (4751 4751 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (4464 4464 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4328 1024 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (4047 1103 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3949 2411 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3816 412 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (3683 1103 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (3576 3576 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (3204 3204 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3114 3114 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2861 160 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (2589 165 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2582 2582 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2285 1387 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2094 726 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1972 1972 (:REWRITE SUBSETP-TRANS2))
 (1972 1972 (:REWRITE SUBSETP-TRANS))
 (1965 1965 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1965 1965 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1908 1908 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1575 111 (:DEFINITION NATP))
 (1484 52 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1456 1456 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (1446 1446 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1248 1248 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1248 1248 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1242 111 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (896 97 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (868 70 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (750 123 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (738 111 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (523 523 (:REWRITE SUBSETP-MEMBER . 2))
 (496 52 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (470 470 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (420 70 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (328 164 (:REWRITE SET-EQUIV-ASYM))
 (322 58 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (291 97 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (246 246 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (246 246 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (246 246 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (238 238 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (186 186 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (165 165 (:REWRITE SUBSETP-MEMBER . 4))
 (165 165 (:REWRITE INTERSECTP-MEMBER . 3))
 (165 165 (:REWRITE INTERSECTP-MEMBER . 2))
 (164 164 (:TYPE-PRESCRIPTION SET-EQUIV))
 (164 164 (:REWRITE SUBSETP-OF-CDR))
 (158 158 (:REWRITE MEMBER-WHEN-ATOM))
 (157 97 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (140 140 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (123 123 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (120 12 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (118 118 (:TYPE-PRESCRIPTION ATOM))
 (116 116 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (111 111 (:TYPE-PRESCRIPTION NATP))
 (111 111 (:REWRITE DEFAULT-<-2))
 (111 111 (:REWRITE DEFAULT-<-1))
 (92 2 (:REWRITE CDR-OF-ASSOC-OF-NIL-WHEN-ABS-FILE-ALIST-P))
 (84 24 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (84 14 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (70 70 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (48 6 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (28 28 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (14 14 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 )
(ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5
 (27004 743 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (21290 1765 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (19907 132 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (16066 1472 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (11572 451 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (10860 3620 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (9205 645 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8440 317 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (7494 3620 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (6902 193 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (6451 315 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (5856 68 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (5794 134 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (5490 276 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5196 305 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (4817 4817 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4726 973 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4553 247 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (3808 248 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3530 3530 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (3442 120 (:REWRITE SUBSETP-CAR-MEMBER))
 (3399 344 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3346 55 (:DEFINITION MEMBER-EQUAL))
 (3059 187 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (2778 496 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2765 1167 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2742 762 (:REWRITE DEFAULT-CDR))
 (2409 145 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2295 33 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2292 109 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2214 276 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2180 470 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1886 1886 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1869 293 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1804 115 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1799 209 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1765 1765 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1687 290 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1563 1563 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1480 194 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1448 132 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1219 293 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1167 31 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (1140 705 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1093 973 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1082 89 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (979 90 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (940 940 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (918 62 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (888 209 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (868 199 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (746 276 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (705 705 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (692 68 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (624 624 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (604 604 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (584 584 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (556 36 (:DEFINITION NATP))
 (534 89 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (519 287 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (470 470 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (466 466 (:REWRITE SUBSETP-TRANS2))
 (466 466 (:REWRITE SUBSETP-TRANS))
 (456 456 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (456 456 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (448 36 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (418 418 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (415 415 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (376 376 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (376 376 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (356 108 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (355 145 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (346 346 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (272 44 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (264 36 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (248 248 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (200 10 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (178 178 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (174 29 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (142 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (116 116 (:REWRITE SUBSETP-MEMBER . 2))
 (102 6 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (100 100 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (90 90 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (89 89 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (88 88 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (88 88 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (88 88 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (88 8 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (84 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (80 8 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (62 62 (:REWRITE SUBSETP-MEMBER . 4))
 (62 62 (:REWRITE INTERSECTP-MEMBER . 3))
 (62 62 (:REWRITE INTERSECTP-MEMBER . 2))
 (60 10 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (58 58 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (56 16 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (54 54 (:TYPE-PRESCRIPTION ATOM))
 (52 52 (:REWRITE MEMBER-WHEN-ATOM))
 (44 44 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (40 10 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (40 4 (:DEFINITION ALISTP))
 (38 38 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (36 36 (:TYPE-PRESCRIPTION NATP))
 (36 36 (:REWRITE DEFAULT-<-2))
 (36 36 (:REWRITE DEFAULT-<-1))
 (32 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (30 10 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (29 29 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (24 12 (:REWRITE SET-EQUIV-ASYM))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:REWRITE SUBSETP-OF-CDR))
 (10 10 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (10 10 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 )
(ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6
 (7264 51 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (7073 673 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (7056 246 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6208 564 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (5963 166 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (3524 243 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (3411 127 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3378 44 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (3311 629 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2786 69 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (2682 124 (:REWRITE SUBSETP-CAR-MEMBER))
 (2626 126 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2279 92 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2142 121 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (2061 372 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1868 72 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1866 106 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1707 39 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1683 372 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1643 1643 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1643 1643 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1585 100 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1346 1346 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1259 41 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1250 53 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1230 66 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (1144 88 (:DEFINITION NATP))
 (1111 96 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (1011 337 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (984 404 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (982 133 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (880 88 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (761 337 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (755 13 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (733 57 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (673 673 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (672 13 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (625 92 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (620 620 (:TYPE-PRESCRIPTION M1-FILE-P))
 (607 607 (:REWRITE SUBSETP-TRANS2))
 (607 607 (:REWRITE SUBSETP-TRANS))
 (596 51 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (590 590 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (590 590 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (577 99 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (572 572 (:TYPE-PRESCRIPTION ABS-FS-P))
 (565 57 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (542 542 (:REWRITE DEFAULT-CAR))
 (528 88 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (528 88 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (504 144 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (490 43 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (473 44 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (468 20 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (443 133 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (432 44 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (353 260 (:REWRITE DEFAULT-CDR))
 (301 57 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (288 288 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (288 96 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (266 266 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (265 37 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (258 43 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (249 39 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (236 92 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (205 145 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (200 200 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (189 117 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (176 176 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (176 176 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (176 176 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (158 158 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (156 156 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (148 148 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (145 145 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (144 144 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (118 118 (:REWRITE SUBSETP-MEMBER . 2))
 (114 34 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (110 110 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (106 106 (:REWRITE SUBSETP-MEMBER . 4))
 (106 106 (:REWRITE INTERSECTP-MEMBER . 3))
 (106 106 (:REWRITE INTERSECTP-MEMBER . 2))
 (98 96 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (89 89 (:REWRITE MEMBER-WHEN-ATOM))
 (88 88 (:TYPE-PRESCRIPTION NATP))
 (88 88 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (88 88 (:REWRITE DEFAULT-<-2))
 (88 88 (:REWRITE DEFAULT-<-1))
 (86 86 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (86 86 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (72 72 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (72 12 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (72 8 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (70 5 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (62 62 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (55 55 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (50 5 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (46 20 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (40 5 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (30 30 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (24 24 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (24 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (20 10 (:REWRITE SET-EQUIV-ASYM))
 (17 17 (:TYPE-PRESCRIPTION ATOM))
 (17 17 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (17 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (13 13 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (12 12 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10 10 (:TYPE-PRESCRIPTION SET-EQUIV))
 (10 10 (:REWRITE SUBSETP-OF-CDR))
 (9 1 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (6 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 )
(ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7
 (726109 13163 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (452170 19179 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (441302 5224 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (423827 11312 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (328376 2448 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (154628 55652 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (129335 233 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (93088 171 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (92979 58035 (:REWRITE DEFAULT-CDR))
 (59378 205 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-16))
 (58480 51437 (:REWRITE DEFAULT-CAR))
 (58387 2043 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (57183 4086 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (49759 1548 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (45737 775 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (44380 28 (:LINEAR LEN-OF-EXPLODE-OF-M1-FILE-CONTENTS-FIX))
 (43901 775 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (43901 775 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (37588 271 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (35332 1547 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (33273 1550 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (32552 2043 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (32389 7621 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (31469 2857 (:DEFINITION LEN))
 (31437 1550 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (31437 1550 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (28827 2595 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (27316 2595 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (27030 27030 (:TYPE-PRESCRIPTION ABS-FS-P))
 (26324 26324 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (25916 6608 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (24399 2305 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (23591 117 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (21096 757 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (20594 1514 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (20100 188 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (19155 19155 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (18616 4764 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (18417 13163 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (18180 18180 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (15658 6225 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (14680 312 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (13524 415 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (12708 12708 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (10864 6736 (:REWRITE DEFAULT-<-1))
 (8921 2325 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8921 2325 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (8921 2325 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (8613 5714 (:REWRITE STR::CONSP-OF-EXPLODE))
 (8571 8571 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (6926 6926 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (6926 6926 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (6852 104 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (6736 6736 (:REWRITE DEFAULT-<-2))
 (6600 6354 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (6511 4609 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6352 6352 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (6225 6225 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (5788 160 (:REWRITE SUBSETP-CAR-MEMBER))
 (5714 2857 (:REWRITE DEFAULT-+-2))
 (5461 171 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (5244 526 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5107 5107 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4922 4922 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4788 752 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4650 4650 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4650 4650 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4650 4650 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4609 4609 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4609 4609 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4425 2043 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (4332 12 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (4207 2305 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4144 80 (:DEFINITION MEMBER-EQUAL))
 (3408 216 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3067 2857 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2857 2857 (:REWRITE DEFAULT-+-1))
 (2461 2461 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1956 1956 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1820 1820 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1548 24 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1467 489 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1467 489 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1423 415 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (978 978 (:LINEAR LEN-WHEN-PREFIXP))
 (978 978 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (692 692 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (692 692 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (692 692 (:REWRITE SUBSETP-TRANS2))
 (692 692 (:REWRITE SUBSETP-TRANS))
 (648 648 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (583 265 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (560 140 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-FIX))
 (536 200 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (526 526 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (413 413 (:LINEAR POSITION-WHEN-MEMBER))
 (413 413 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (400 400 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (385 129 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (365 365 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (293 293 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (280 62 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (160 160 (:REWRITE SUBSETP-MEMBER . 2))
 (160 160 (:REWRITE SUBSETP-MEMBER . 1))
 (143 35 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (129 129 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (96 96 (:TYPE-PRESCRIPTION ATOM))
 (96 12 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (60 12 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (48 48 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (48 24 (:REWRITE SET-EQUIV-ASYM))
 (24 24 (:TYPE-PRESCRIPTION SET-EQUIV))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (24 24 (:REWRITE SUBSETP-OF-CDR))
 )
(ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-8
 (26691 1117 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (25474 549 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (15971 455 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (12527 733 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (6963 11 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6925 8 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5987 49 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (5316 1109 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4605 1535 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3403 23 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (2554 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2532 6 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (2460 3 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (2310 2310 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2206 126 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1977 691 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1911 1595 (:REWRITE DEFAULT-CAR))
 (1586 88 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1463 133 (:DEFINITION LEN))
 (1456 1456 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1435 1155 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1418 126 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1408 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1369 329 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1113 262 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (1109 1109 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1014 84 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (996 126 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (898 128 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (883 19 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (823 43 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (815 19 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (815 19 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (774 774 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (704 196 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (649 38 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (601 345 (:REWRITE DEFAULT-<-1))
 (587 76 (:DEFINITION ASSOC-EQUAL))
 (581 38 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (581 38 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (560 8 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (546 40 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (522 522 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (490 80 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (468 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-16))
 (420 79 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (412 8 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (399 399 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (399 266 (:REWRITE STR::CONSP-OF-EXPLODE))
 (352 43 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (345 345 (:REWRITE DEFAULT-<-2))
 (322 261 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (316 316 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (308 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (282 252 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (272 8 (:DEFINITION MEMBER-EQUAL))
 (266 133 (:REWRITE DEFAULT-+-2))
 (255 129 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (254 254 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (254 254 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (254 254 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (252 252 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (252 252 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (245 57 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (245 57 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (245 57 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (240 240 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (237 79 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (237 79 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (236 48 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (158 158 (:LINEAR LEN-WHEN-PREFIXP))
 (158 158 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (158 128 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (133 133 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (133 133 (:REWRITE DEFAULT-+-1))
 (129 129 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (121 7 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (120 120 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (114 114 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (114 114 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (114 114 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (112 8 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (107 43 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (101 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (100 100 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (79 79 (:LINEAR POSITION-WHEN-MEMBER))
 (79 79 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (62 62 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (58 58 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (50 8 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (40 40 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (32 4 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (28 28 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (28 28 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 28 (:REWRITE SUBSETP-TRANS2))
 (28 28 (:REWRITE SUBSETP-TRANS))
 (28 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (24 3 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (22 22 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (20 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (16 16 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (16 16 (:REWRITE SUBSETP-MEMBER . 2))
 (16 16 (:REWRITE SUBSETP-MEMBER . 1))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (13 13 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9 2 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (8 8 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (8 8 (:TYPE-PRESCRIPTION SET-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (8 8 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (4 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (3 3 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (2 2 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 )
(ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-9
 (22749 883 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (21500 907 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (20736 377 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (9407 595 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (7911 342 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (4576 53 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3862 901 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2528 19 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (2362 5 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (2352 784 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2044 92 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1766 1766 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1675 17 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1609 12 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1332 76 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1247 631 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1109 1109 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1043 239 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (901 901 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (897 92 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (883 883 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (880 80 (:DEFINITION LEN))
 (813 202 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (774 110 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (754 72 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (693 96 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (666 3 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (664 92 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (647 23 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (643 159 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (625 48 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (600 76 (:DEFINITION ASSOC-EQUAL))
 (588 588 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (422 14 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (422 14 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (422 14 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (418 34 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (402 402 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (391 234 (:REWRITE DEFAULT-<-1))
 (336 16 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (309 6 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (298 28 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (298 28 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (298 28 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (296 68 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (288 144 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (246 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-16))
 (242 242 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (242 242 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (240 240 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (240 160 (:REWRITE STR::CONSP-OF-EXPLODE))
 (234 234 (:REWRITE DEFAULT-<-2))
 (231 12 (:REWRITE SUBSETP-CAR-MEMBER))
 (220 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (216 216 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (216 216 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (216 216 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (204 6 (:DEFINITION MEMBER-EQUAL))
 (202 201 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (194 194 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (178 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (177 36 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (176 176 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (160 80 (:REWRITE DEFAULT-+-2))
 (144 144 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (141 11 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (128 6 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (124 48 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (110 110 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (109 7 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (96 96 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (96 48 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (88 88 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (84 84 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (84 84 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (84 84 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (84 6 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (80 80 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (80 80 (:REWRITE DEFAULT-+-1))
 (78 12 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (77 5 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (75 75 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (42 42 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (42 42 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (42 42 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (42 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (34 34 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (30 30 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (24 3 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (21 21 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (21 21 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (21 21 (:REWRITE SUBSETP-TRANS2))
 (21 21 (:REWRITE SUBSETP-TRANS))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (16 16 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (16 16 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (15 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (12 12 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (12 12 (:REWRITE SUBSETP-MEMBER . 2))
 (12 12 (:REWRITE SUBSETP-MEMBER . 1))
 (12 12 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (12 12 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (12 12 (:LINEAR LEN-WHEN-PREFIXP))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12 6 (:REWRITE SET-EQUIV-ASYM))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (9 2 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER))
 (6 6 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (5 5 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (4 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 )
(ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-10
 (47076 2803 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (43554 2370 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (26554 276 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (25295 352 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (21454 988 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (21084 7028 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (16298 257 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (16139 505 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (13467 1709 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (12732 815 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (11969 308 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (11563 2712 (:REWRITE DEFAULT-CDR))
 (11169 220 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (10862 751 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (9357 253 (:DEFINITION MEMBER-EQUAL))
 (8270 511 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (8161 1747 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (6483 6483 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6130 900 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5921 359 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (5602 5602 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (5588 373 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (5285 2840 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5149 305 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5054 696 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (4608 358 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (4318 910 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4230 511 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3918 765 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3858 900 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3846 894 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3371 639 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (3094 974 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (3094 974 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3094 867 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2840 2840 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2805 2803 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2608 474 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2404 2404 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2032 2032 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1826 1826 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1800 1800 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1703 815 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1645 308 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (1542 276 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1419 1419 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1114 1114 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1060 1060 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1060 1060 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (955 183 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (939 867 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (906 50 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (804 402 (:REWRITE SET-EQUIV-ASYM))
 (708 708 (:REWRITE SUBSETP-TRANS2))
 (708 708 (:REWRITE SUBSETP-TRANS))
 (705 705 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (705 705 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (696 696 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (660 33 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (556 36 (:DEFINITION NATP))
 (523 523 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (508 508 (:REWRITE SUBSETP-MEMBER . 2))
 (454 158 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (448 36 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (420 40 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (402 402 (:TYPE-PRESCRIPTION SET-EQUIV))
 (402 402 (:REWRITE SUBSETP-OF-CDR))
 (366 366 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (359 359 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (282 282 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (272 44 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (264 36 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (132 33 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (128 16 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (88 88 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (88 88 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (88 88 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (80 8 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (79 79 (:TYPE-PRESCRIPTION ATOM))
 (57 57 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (56 16 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (50 50 (:REWRITE SUBSETP-MEMBER . 4))
 (50 50 (:REWRITE SUBSETP-MEMBER . 3))
 (50 50 (:REWRITE INTERSECTP-MEMBER . 3))
 (50 50 (:REWRITE INTERSECTP-MEMBER . 2))
 (48 48 (:REWRITE MEMBER-WHEN-ATOM))
 (44 44 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (36 36 (:TYPE-PRESCRIPTION NATP))
 (36 36 (:REWRITE DEFAULT-<-2))
 (36 36 (:REWRITE DEFAULT-<-1))
 (36 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (18 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (10 10 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (6 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 )
(ABSFAT-SUBSETP-TRANSITIVITY
 (46181 2786 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (42203 2251 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (37123 345 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (25071 428 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (23654 949 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (14409 421 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (14359 314 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (11898 741 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (11457 1553 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (10888 384 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (10177 397 (:REWRITE SUBSETP-CAR-MEMBER))
 (10026 198 (:DEFINITION MEMBER-EQUAL))
 (9670 211 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (8288 1519 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (8207 679 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6121 499 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (5748 1916 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5568 5568 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (5384 1502 (:REWRITE DEFAULT-CDR))
 (5063 496 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5049 345 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (4986 339 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (4967 679 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4801 2578 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4779 768 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (4673 4673 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4475 815 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3829 815 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3818 812 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3765 360 (:DEFINITION ASSOC-EQUAL))
 (3398 977 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2946 716 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2788 2786 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2578 2578 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2463 2463 (:REWRITE DEFAULT-CAR))
 (2363 2363 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2162 662 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2136 662 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1952 1952 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1917 93 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1874 1874 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1630 1630 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1556 1556 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1329 741 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1233 1233 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1228 62 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1186 1186 (:REWRITE SUBSETP-TRANS2))
 (1186 1186 (:REWRITE SUBSETP-TRANS))
 (1185 1185 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1185 1185 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1185 81 (:DEFINITION NATP))
 (942 81 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (756 30 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (742 742 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (734 734 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (734 734 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (572 25 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (570 93 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (558 81 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (523 183 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (499 499 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (397 397 (:REWRITE SUBSETP-MEMBER . 2))
 (366 24 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (263 25 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (260 62 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (252 126 (:REWRITE SET-EQUIV-ASYM))
 (211 211 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (210 30 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (201 93 (:REWRITE SUBSETP-MEMBER . 3))
 (186 186 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (186 186 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (186 186 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (174 174 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (170 31 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (169 89 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (126 126 (:TYPE-PRESCRIPTION SET-EQUIV))
 (126 126 (:REWRITE SUBSETP-OF-CDR))
 (120 12 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (104 104 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (93 93 (:REWRITE SUBSETP-MEMBER . 4))
 (93 93 (:REWRITE INTERSECTP-MEMBER . 3))
 (93 93 (:REWRITE INTERSECTP-MEMBER . 2))
 (93 93 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (92 92 (:REWRITE MEMBER-WHEN-ATOM))
 (84 24 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (81 81 (:TYPE-PRESCRIPTION NATP))
 (81 81 (:REWRITE DEFAULT-<-2))
 (81 81 (:REWRITE DEFAULT-<-1))
 (71 71 (:TYPE-PRESCRIPTION ATOM))
 (62 62 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (62 5 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (48 6 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (33 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (30 5 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 1 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (5 5 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 )
(ABSFAT-SUBSETP-OF-PUT-ASSOC-1
 (200271 6763 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (173047 6683 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (146035 585 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (143869 954 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (93171 3082 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (83281 1947 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (76908 144 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (57115 1510 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (54745 743 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (52882 1724 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (39278 720 (:DEFINITION MEMBER-EQUAL))
 (38842 1697 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (37929 3254 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (35750 1298 (:REWRITE SUBSETP-CAR-MEMBER))
 (32792 767 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (32742 4490 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (29707 8 (:REWRITE ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL))
 (29512 100 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (23830 1650 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (23553 416 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (22510 514 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (21151 159 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (20752 152 (:DEFINITION ATOM))
 (18594 585 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (17586 12 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (17310 107 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (17266 341 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (16411 2703 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (15432 1600 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (15222 41 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (14862 16 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (14736 845 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (14587 400 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (13940 454 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (13322 13322 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12725 12157 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12719 6587 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (12391 18 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (12108 1672 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (11862 24 (:REWRITE SUBSETP-OF-REMOVE1))
 (11659 11 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (10695 6667 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10601 954 (:DEFINITION ASSOC-EQUAL))
 (10519 535 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (9785 264 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (9720 144 (:REWRITE REMOVE-WHEN-ABSENT))
 (9318 234 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (9314 1600 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (9242 1650 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (9201 522 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (8526 210 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (8348 271 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8260 144 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (7930 18 (:REWRITE CONSP-OF-APPEND))
 (7181 2418 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6587 6587 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6286 6286 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6179 293 (:DEFINITION NATP))
 (5709 343 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (5604 48 (:DEFINITION REMOVE-EQUAL))
 (4842 4842 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4806 18 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (4674 293 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (4380 1365 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4236 36 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (4168 18 (:DEFINITION BINARY-APPEND))
 (4136 2703 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4106 4106 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (3648 77 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (3462 293 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (3414 67 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (3354 3354 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3154 144 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (2990 734 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2820 54 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2744 1510 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2734 144 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (2642 301 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2544 2544 (:TYPE-PRESCRIPTION STRIP-CARS))
 (2484 30 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2420 1210 (:REWRITE SET-EQUIV-ASYM))
 (2378 328 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (2253 48 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (1768 1768 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1750 114 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (1666 1399 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1665 540 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1626 24 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (1573 1573 (:REWRITE SUBSETP-MEMBER . 2))
 (1504 1504 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1504 1504 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1496 1399 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1495 1495 (:REWRITE SUBSETP-TRANS2))
 (1495 1495 (:REWRITE SUBSETP-TRANS))
 (1446 6 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (1425 264 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (1356 108 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1348 210 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (1314 54 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (1222 1222 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1188 24 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (1116 1116 (:REWRITE SUBSETP-OF-CDR))
 (1116 12 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (984 246 (:DEFINITION STRIP-CARS))
 (957 67 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (919 919 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (882 882 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (850 36 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (837 837 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (834 36 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (819 441 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (804 534 (:REWRITE MEMBER-WHEN-ATOM))
 (771 771 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (771 32 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (766 49 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (696 12 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (650 602 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (602 602 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (602 602 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (597 79 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (572 572 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (535 535 (:REWRITE SUBSETP-MEMBER . 4))
 (535 535 (:REWRITE SUBSETP-MEMBER . 3))
 (535 535 (:REWRITE INTERSECTP-MEMBER . 3))
 (535 535 (:REWRITE INTERSECTP-MEMBER . 2))
 (522 522 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (396 396 (:REWRITE CONSP-OF-STRIP-CARS))
 (384 54 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (379 301 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (324 54 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (315 315 (:TYPE-PRESCRIPTION ATOM))
 (312 48 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (312 48 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (312 48 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (294 294 (:TYPE-PRESCRIPTION NATP))
 (293 293 (:REWRITE DEFAULT-<-2))
 (293 293 (:REWRITE DEFAULT-<-1))
 (246 246 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (220 220 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (216 36 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (216 24 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (204 204 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (201 67 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (200 11 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (174 12 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (151 18 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (150 12 (:REWRITE SUBSETP-OF-REMOVE2))
 (144 24 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (144 24 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (141 67 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (110 110 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (96 96 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (96 96 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (80 8 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (63 9 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (61 11 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (56 16 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (54 54 (:REWRITE MEMBER-OF-STRIP-CARS))
 (54 54 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (50 50 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (48 48 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (48 48 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (48 48 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (40 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-4))
 (30 3 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (27 1 (:REWRITE CDR-OF-ASSOC-OF-NIL-WHEN-ABS-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (24 24 (:REWRITE SUBSETP-OF-REMOVE))
 (18 18 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (18 18 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (16 2 (:REWRITE HIFAT-NO-DUPS-P-OF-PUT-ASSOC))
 (12 12 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (12 12 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (12 12 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (12 2 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (10 1 (:REWRITE ASSOC-AFTER-PUT-ASSOC))
 (7 1 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 )
(ABSFAT-SUBSETP-OF-PUT-ASSOC-2
 (109766 591 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (107171 1926 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (103360 6585 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (98730 6432 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (71738 829 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (71474 2778 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (56688 314 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (51682 693 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (41441 1776 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (40450 2523 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (33435 3199 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (29493 1756 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (27910 246 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (21952 641 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (21101 1404 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (20868 1312 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (20480 8 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (20447 701 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (20178 6 (:REWRITE ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL))
 (19536 6512 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (17524 12 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (17304 204 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (16368 3734 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16278 164 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (16028 28 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (15372 16 (:REWRITE SUBSETP-OF-REMOVE1))
 (14335 968 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (14020 13862 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (13862 13862 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (13400 96 (:REWRITE REMOVE-WHEN-ABSENT))
 (13186 618 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (12852 12852 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (11453 1312 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (10264 32 (:DEFINITION REMOVE-EQUAL))
 (10125 869 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (9942 380 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (9617 1312 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (9302 1886 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8964 8 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1))
 (8510 1301 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (8479 499 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (8208 368 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (7801 4066 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7193 7193 (:TYPE-PRESCRIPTION M1-FILE-P))
 (6769 3734 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6503 6432 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6423 591 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (6219 573 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (6202 134 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6188 245 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (6130 6130 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6065 957 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (5183 3664 (:REWRITE DEFAULT-CDR))
 (4986 48 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (4831 676 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4758 676 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (4594 246 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (4363 780 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4257 80 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (4232 24 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (4175 70 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (3881 501 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3760 3760 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (3669 2857 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3624 2857 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3319 65 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (3158 204 (:DEFINITION NATP))
 (3103 780 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2913 2913 (:REWRITE SUBSETP-TRANS2))
 (2913 2913 (:REWRITE SUBSETP-TRANS))
 (2893 1769 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2890 246 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (2862 242 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (2632 2632 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2474 203 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (2363 1655 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1988 1988 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1974 68 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (1878 1878 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1865 180 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (1769 1769 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1714 203 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1696 1696 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1538 1538 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1504 16 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (1470 223 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1468 154 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1467 242 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1464 904 (:REWRITE MEMBER-WHEN-ATOM))
 (1460 36 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1458 336 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (1456 8 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1352 1352 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1347 197 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1236 20 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1204 1204 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1135 1135 (:REWRITE SUBSETP-MEMBER . 2))
 (1046 1046 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1000 36 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (998 998 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (998 998 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (968 968 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (959 602 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (932 932 (:REWRITE SUBSETP-MEMBER . 4))
 (932 932 (:REWRITE INTERSECTP-MEMBER . 3))
 (932 932 (:REWRITE INTERSECTP-MEMBER . 2))
 (866 368 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (846 275 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (820 4 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (656 164 (:DEFINITION STRIP-CARS))
 (600 8 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (551 180 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (514 13 (:REWRITE SUBSETP-OF-CONS))
 (494 7 (:REWRITE ABSFAT-SUBSETP-OF-PUT-ASSOC-1))
 (470 446 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (446 446 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (446 446 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (403 403 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (400 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (348 6 (:REWRITE CDR-OF-ASSOC-OF-NIL-WHEN-ABS-FILE-ALIST-P))
 (332 332 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (327 54 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (294 33 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (280 24 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (271 223 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (264 264 (:REWRITE CONSP-OF-STRIP-CARS))
 (259 180 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (242 6 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (227 227 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (221 13 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (220 20 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (204 204 (:TYPE-PRESCRIPTION NATP))
 (204 204 (:REWRITE DEFAULT-<-2))
 (204 204 (:REWRITE DEFAULT-<-1))
 (200 20 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (182 91 (:REWRITE SET-EQUIV-ASYM))
 (174 8 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (144 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (140 40 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (136 136 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (136 36 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (133 133 (:TYPE-PRESCRIPTION ATOM))
 (117 13 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (114 6 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (112 32 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (112 32 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (112 32 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (108 108 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (108 108 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (108 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (101 101 (:TYPE-PRESCRIPTION SET-EQUIV))
 (100 8 (:REWRITE SUBSETP-OF-REMOVE2))
 (98 14 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (87 87 (:REWRITE SUBSETP-OF-CDR))
 (72 72 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (66 66 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (54 54 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (36 36 (:REWRITE MEMBER-OF-STRIP-CARS))
 (36 36 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (36 36 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (32 32 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (32 32 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (16 16 (:REWRITE SUBSETP-OF-REMOVE))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (16 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-4))
 (12 12 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (8 8 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (8 8 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(ABSFAT-SUBSETP-OF-REMOVE-ASSOC-1
 (48675 3568 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (46098 3967 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (37704 272 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (37133 743 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (36188 1463 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (31645 1117 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (27807 181 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (19021 663 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (17436 814 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (15646 306 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (14774 658 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (14331 2452 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (13723 274 (:DEFINITION MEMBER-EQUAL))
 (11918 612 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (11888 468 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (10535 540 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (10270 1842 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (9636 318 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (8318 8124 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8124 8124 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8087 292 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (7910 7910 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6960 188 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (6622 225 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5514 596 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (5344 341 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (5260 3959 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5198 423 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (3887 468 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3813 308 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3774 63 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (3672 8 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (3491 1458 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (3360 468 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3355 2452 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3322 181 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (3313 3313 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3064 272 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (3054 682 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3048 505 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2913 119 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2754 2754 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2742 159 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (2699 40 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (2497 443 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2454 1244 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2208 175 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (2171 289 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1992 181 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (1908 1388 (:REWRITE DEFAULT-CDR))
 (1862 242 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1797 540 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (1737 1737 (:REWRITE SUBSETP-TRANS2))
 (1737 1737 (:REWRITE SUBSETP-TRANS))
 (1725 1725 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1725 1725 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1671 242 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1418 189 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1364 1364 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1353 83 (:DEFINITION NATP))
 (1319 289 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1220 35 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1190 175 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1116 727 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1062 83 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1016 1016 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (891 613 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (778 778 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (758 758 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (727 727 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (702 702 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (677 677 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (626 91 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (618 83 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (565 53 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (557 557 (:REWRITE SUBSETP-MEMBER . 2))
 (502 30 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (484 484 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (462 140 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (443 443 (:REWRITE SUBSETP-MEMBER . 4))
 (443 443 (:REWRITE INTERSECTP-MEMBER . 3))
 (443 443 (:REWRITE INTERSECTP-MEMBER . 2))
 (435 188 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (432 432 (:REWRITE MEMBER-WHEN-ATOM))
 (394 394 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (394 394 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (346 346 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (342 342 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (318 318 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (286 26 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (283 119 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (254 26 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (242 35 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (228 46 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (224 14 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (221 6 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (209 27 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (182 182 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (182 182 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (182 182 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (178 178 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (177 177 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (171 171 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (159 53 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (155 155 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (152 152 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (129 5 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (91 91 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (90 90 (:TYPE-PRESCRIPTION ATOM))
 (84 84 (:TYPE-PRESCRIPTION NATP))
 (84 42 (:REWRITE SET-EQUIV-ASYM))
 (83 83 (:REWRITE DEFAULT-<-2))
 (83 83 (:REWRITE DEFAULT-<-1))
 (80 8 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (73 53 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (70 70 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (56 16 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (45 5 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (42 42 (:TYPE-PRESCRIPTION SET-EQUIV))
 (42 42 (:REWRITE SUBSETP-OF-CDR))
 (35 35 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (35 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (30 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-4))
 )
(ABSFAT-SUBSETP-OF-APPEND-1
 (58829 3856 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (57944 265 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (54798 4442 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (48421 1750 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (27038 267 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (26341 716 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (24400 158 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (23646 454 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (22886 2994 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (21249 979 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (17268 26 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (14429 333 (:DEFINITION MEMBER-EQUAL))
 (13239 9125 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12139 2144 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (11776 8512 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10689 489 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (9125 9125 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8470 551 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (8154 260 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (7143 488 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (6912 164 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (6909 322 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (6044 378 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (5918 208 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (5715 4416 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5240 185 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (5149 435 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (4788 300 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (4616 2308 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (4128 265 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (4088 551 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (4047 455 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (3972 3972 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3840 2994 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3198 200 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3032 265 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (3021 233 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (2946 551 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2824 2824 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2786 191 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2702 189 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (2659 2659 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2640 267 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (2561 2104 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2551 2104 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2371 303 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2347 2347 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2308 2308 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (2301 2157 (:REWRITE DEFAULT-CAR))
 (2228 838 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2204 588 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2199 48 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2123 2123 (:REWRITE SUBSETP-TRANS2))
 (2123 2123 (:REWRITE SUBSETP-TRANS))
 (1993 351 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1982 190 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1921 241 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1822 1360 (:REWRITE DEFAULT-CDR))
 (1809 603 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1676 1676 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1551 60 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1521 181 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1500 315 (:REWRITE M1-FILE-ALIST-P-OF-LIST-FIX))
 (1390 250 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1317 603 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1217 241 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1188 181 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1118 562 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1060 100 (:DEFINITION NATP))
 (972 33 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (962 131 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (884 303 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (835 835 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (812 88 (:REWRITE ABS-FS-P-OF-APPEND))
 (800 800 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (787 607 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (768 768 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (760 76 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (759 479 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (704 704 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (679 679 (:REWRITE SUBSETP-MEMBER . 2))
 (626 626 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (607 607 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (588 588 (:REWRITE SUBSETP-MEMBER . 4))
 (588 588 (:REWRITE INTERSECTP-MEMBER . 3))
 (588 588 (:REWRITE INTERSECTP-MEMBER . 2))
 (581 166 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (572 572 (:REWRITE MEMBER-WHEN-ATOM))
 (526 50 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (498 166 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (456 456 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (456 76 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (456 76 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (438 438 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (432 269 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (430 142 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (415 83 (:DEFINITION LEN))
 (381 381 (:REWRITE CONSP-OF-LIST-FIX))
 (378 378 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (362 362 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (356 356 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (356 356 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (332 166 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (303 303 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (264 44 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (250 250 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (249 83 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (249 83 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (228 228 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (216 72 (:REWRITE CAR-OF-APPEND))
 (206 206 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (166 166 (:TYPE-PRESCRIPTION STRING-LISTP))
 (166 166 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (166 166 (:TYPE-PRESCRIPTION D-E-P))
 (166 166 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (166 166 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (166 166 (:LINEAR LEN-WHEN-PREFIXP))
 (166 166 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (166 83 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (166 83 (:REWRITE DEFAULT-+-2))
 (166 60 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (164 17 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (159 53 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (152 152 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (152 152 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (152 152 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (150 50 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (149 149 (:REWRITE CONSP-OF-APPEND))
 (148 29 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (143 143 (:TYPE-PRESCRIPTION ATOM))
 (141 2 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (138 19 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (100 100 (:TYPE-PRESCRIPTION NATP))
 (100 100 (:REWRITE DEFAULT-<-2))
 (100 100 (:REWRITE DEFAULT-<-1))
 (88 88 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (83 83 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (83 83 (:REWRITE SET::IN-SET))
 (83 83 (:REWRITE DEFAULT-+-1))
 (83 83 (:LINEAR POSITION-WHEN-MEMBER))
 (83 83 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (76 76 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (72 1 (:REWRITE SUBSETP-OF-CONS))
 (70 50 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (55 55 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (48 48 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (48 48 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (44 44 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (44 44 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (33 2 (:REWRITE SUBSETP-APPEND1))
 (25 2 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (21 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (20 1 (:REWRITE SUBSETP-CONS-2))
 (17 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (16 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-4))
 (14 7 (:REWRITE SET-EQUIV-ASYM))
 (9 9 (:REWRITE SUBSETP-OF-CDR))
 (9 1 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (7 7 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 )
(ABSFAT-SUBSETP-OF-APPEND-2
 (67615 472 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (59197 4597 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (50132 473 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (48757 4150 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (29696 701 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (29530 8 (:REWRITE ABSFAT-SUBSETP-OF-APPEND-1))
 (23787 1746 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (15961 298 (:DEFINITION MEMBER-EQUAL))
 (14515 1084 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (13572 667 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (13529 829 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (12647 2323 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (12527 325 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (11708 125 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (10162 2150 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (9993 988 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (9381 538 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (9238 9178 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (8883 8869 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8142 273 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (7639 411 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (6654 420 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (6601 1090 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6408 2136 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6319 472 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (6315 2136 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (5916 829 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5697 408 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5476 1314 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5238 678 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5219 89 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (4615 4597 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4390 4390 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4277 2150 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3842 784 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3835 3835 (:REWRITE DEFAULT-CAR))
 (3717 678 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3640 1866 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3296 2063 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3284 577 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2988 784 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2612 2612 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2433 393 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2374 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-4))
 (2261 2261 (:REWRITE SUBSETP-TRANS2))
 (2261 2261 (:REWRITE SUBSETP-TRANS))
 (2216 2216 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2216 2216 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2190 198 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (2063 2063 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1752 224 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1518 1518 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1421 125 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (1407 101 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (1356 1356 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1326 102 (:DEFINITION NATP))
 (1308 1308 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1188 198 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1064 1064 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1056 62 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1020 102 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1008 29 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (988 988 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (988 988 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (940 332 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (877 411 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (768 384 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (615 615 (:REWRITE SUBSETP-MEMBER . 2))
 (612 102 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (612 102 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (538 538 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (396 396 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (392 392 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (384 384 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (348 348 (:REWRITE SUBSETP-MEMBER . 4))
 (348 348 (:REWRITE INTERSECTP-MEMBER . 3))
 (348 348 (:REWRITE INTERSECTP-MEMBER . 2))
 (303 101 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (280 58 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (228 38 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (223 48 (:DEFINITION BINARY-APPEND))
 (220 4 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (215 101 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (204 204 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (204 204 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (204 204 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (198 198 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (182 182 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (174 2 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (166 166 (:TYPE-PRESCRIPTION ATOM))
 (156 156 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (132 12 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (102 102 (:TYPE-PRESCRIPTION NATP))
 (102 102 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (102 102 (:REWRITE DEFAULT-<-2))
 (102 102 (:REWRITE DEFAULT-<-1))
 (91 13 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (89 89 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (85 5 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (76 76 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (62 62 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (48 24 (:REWRITE SET-EQUIV-ASYM))
 (45 5 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (43 43 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (38 38 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (38 2 (:REWRITE ABS-NO-DUPS-P-OF-APPEND . 1))
 (30 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (24 24 (:TYPE-PRESCRIPTION SET-EQUIV))
 (24 24 (:REWRITE SUBSETP-OF-CDR))
 (24 8 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (16 4 (:DEFINITION NULL))
 (16 2 (:REWRITE ABS-FS-P-OF-APPEND))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2 2 (:REWRITE SUBSETP-NIL))
 (2 2 (:REWRITE SET-EQUIV-OF-NIL))
 (2 2 (:REWRITE CONSP-OF-APPEND))
 (1 1 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-1))
 )
(ABSFAT-SUBSETP-OF-REMOVE-1
 (47582 3506 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (45188 3894 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (37150 272 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (36449 743 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (35193 1649 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (31696 1103 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (27492 179 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (21914 544 (:DEFINITION MEMBER-EQUAL))
 (18999 649 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (18639 2310 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (17840 778 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (15022 330 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (14808 644 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (13887 2450 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (11994 598 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (11904 468 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (10535 540 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (9652 318 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (9309 90 (:REWRITE SUBSETP-OF-REMOVE1))
 (8290 8096 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8096 8096 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (7768 7768 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (7441 286 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (7248 533 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (6960 188 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (6821 51 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (6682 225 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5514 596 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (5198 423 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (4931 1069 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (3978 3886 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3887 468 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3807 308 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3788 179 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (3685 3685 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3360 468 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3353 2450 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3201 1067 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3120 8 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (3054 682 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2981 272 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (2970 1069 (:REWRITE SUBSETP-MEMBER . 4))
 (2754 2754 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2753 119 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2751 549 (:DEFINITION NATP))
 (2742 159 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (2729 40 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (2710 459 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2709 1067 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (2478 1524 (:REWRITE DEFAULT-CDR))
 (2249 2235 (:REWRITE DEFAULT-CAR))
 (2160 289 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2153 175 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (2134 2134 (:REWRITE SUBSETP-TRANS2))
 (2134 2134 (:REWRITE SUBSETP-TRANS))
 (2114 2114 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2114 2114 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2097 899 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1981 179 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (1862 242 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1831 187 (:REWRITE ABS-FS-P-OF-REMOVE))
 (1728 1258 (:REWRITE SUBSETP-MEMBER . 2))
 (1665 242 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1412 189 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1364 1364 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1319 289 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1301 82 (:REWRITE SUBSETP-OF-REMOVE2))
 (1190 175 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1116 727 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1069 1069 (:REWRITE INTERSECTP-MEMBER . 3))
 (1069 1069 (:REWRITE INTERSECTP-MEMBER . 2))
 (1062 83 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (924 924 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (877 599 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (764 764 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (730 730 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (727 727 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (677 677 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (674 674 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (626 91 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (618 83 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (565 53 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (549 549 (:TYPE-PRESCRIPTION NATP))
 (549 549 (:REWRITE DEFAULT-<-2))
 (549 549 (:REWRITE DEFAULT-<-1))
 (484 484 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (462 140 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (433 186 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (394 394 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (394 394 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (346 346 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (342 342 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (318 318 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (283 119 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (254 26 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (242 35 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (228 46 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (221 6 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (209 27 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (182 182 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (182 182 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (182 182 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (171 171 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (159 53 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (152 152 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (109 5 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (91 91 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (90 90 (:TYPE-PRESCRIPTION ATOM))
 (88 8 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (80 8 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (73 53 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (70 70 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (70 14 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (56 16 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (51 51 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (48 48 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (43 5 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (41 41 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (40 20 (:REWRITE SET-EQUIV-ASYM))
 (35 35 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (35 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (28 28 (:TYPE-PRESCRIPTION SET-EQUIV))
 (28 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (16 16 (:REWRITE SUBSETP-OF-REMOVE))
 (12 12 (:REWRITE SUBSETP-OF-CDR))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-4))
 )
(ABSFAT-SUBSETP-OF-REMOVE-2
 (43818 3116 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (31095 2896 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (28646 96 (:REWRITE REMOVE-WHEN-ABSENT))
 (27422 498 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (23930 567 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (22530 179 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (22414 32 (:DEFINITION REMOVE-EQUAL))
 (21932 876 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (18930 26 (:REWRITE SUBSETP-OF-REMOVE1))
 (16877 2785 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (16872 1333 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (15225 274 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (13437 591 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (13414 459 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (12083 105 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (11947 534 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (11407 762 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (9145 581 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (8094 1981 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8026 524 (:REWRITE SUBSETP-MEMBER . 4))
 (7844 366 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6950 6224 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6656 71 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (6569 6569 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6569 6569 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6192 254 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (6092 415 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (5064 212 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (5027 187 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (4341 1447 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3937 171 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3644 301 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3342 2650 (:REWRITE SUBSETP-TRANS))
 (3120 3116 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3103 4 (:REWRITE ABSFAT-SUBSETP-OF-REMOVE-1))
 (3068 2650 (:REWRITE SUBSETP-TRANS2))
 (3023 366 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2993 2993 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2946 143 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2688 2619 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2646 366 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2619 2619 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2405 1985 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2398 492 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2394 29 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2390 990 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2285 386 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2170 127 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (2157 179 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (2053 2053 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1756 208 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1615 1615 (:REWRITE DEFAULT-CAR))
 (1517 13 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (1485 27 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (1421 125 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1418 208 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1378 222 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1315 1036 (:REWRITE DEFAULT-CDR))
 (1265 1265 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1214 195 (:TYPE-PRESCRIPTION CONSP-OF-ASSOC-OF-REMOVE))
 (1114 71 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (984 984 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (982 111 (:DEFINITION ASSOC-EQUAL))
 (968 615 (:REWRITE SUBSETP-MEMBER . 2))
 (916 222 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (813 71 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (784 784 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (758 125 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (720 20 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (683 166 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (654 526 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (639 639 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (614 71 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (538 538 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (524 524 (:REWRITE INTERSECTP-MEMBER . 3))
 (524 524 (:REWRITE INTERSECTP-MEMBER . 2))
 (508 67 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (492 492 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (487 487 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (472 472 (:REWRITE MEMBER-WHEN-ATOM))
 (458 9 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (420 42 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (416 416 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (408 408 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (367 24 (:REWRITE SUBSETP-OF-REMOVE2))
 (299 143 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (284 284 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (284 284 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (270 23 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (258 250 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (254 254 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (252 82 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (252 42 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (252 42 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (126 21 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (125 125 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (84 84 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (84 84 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (84 84 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (84 8 (:REWRITE ABS-FS-P-OF-REMOVE))
 (69 23 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (68 34 (:REWRITE SET-EQUIV-ASYM))
 (66 66 (:REWRITE DEFAULT-<-2))
 (66 66 (:REWRITE DEFAULT-<-1))
 (63 63 (:TYPE-PRESCRIPTION SET-EQUIV))
 (58 58 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (52 4 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (51 3 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (42 42 (:TYPE-PRESCRIPTION NATP))
 (42 42 (:TYPE-PRESCRIPTION ATOM))
 (42 42 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (42 42 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (39 39 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (35 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (33 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-4))
 (29 29 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (27 23 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (27 3 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION NULL))
 (22 22 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (21 21 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (18 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (12 12 (:REWRITE SUBSETP-OF-REMOVE))
 (10 1 (:DEFINITION ALISTP))
 (8 2 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (8 2 (:DEFINITION NULL))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (4 4 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (2 2 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 )
(ABSFAT-SUBSETP-OF-PUT-ASSOC-3
 (126071 4609 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (109223 5170 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (103806 360 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (78800 579 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (64747 1309 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (40485 1592 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (38240 123 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (33604 1210 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (28497 899 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (27402 761 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (23571 417 (:DEFINITION MEMBER-EQUAL))
 (23473 558 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (22883 662 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (22624 19 (:REWRITE ABSFAT-SUBSETP-OF-REMOVE-ASSOC-1))
 (21893 526 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (21241 787 (:REWRITE SUBSETP-CAR-MEMBER))
 (18782 2941 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (18747 2573 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (16256 72 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (14134 2356 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (13599 274 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (13582 73 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (12527 290 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (11824 20 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (11417 360 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (10288 10288 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10174 621 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (9803 702 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (9505 5047 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (9447 212 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (8495 7915 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8122 111 (:DEFINITION ATOM))
 (7910 1363 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (7549 349 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (7393 5150 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (7392 1342 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (7308 4 (:REWRITE ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL))
 (7087 315 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (6978 682 (:DEFINITION ASSOC-EQUAL))
 (6708 1342 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6624 313 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (6321 193 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (5876 4 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (5230 5 (:REWRITE ABSFAT-SUBSETP-OF-PUT-ASSOC-1))
 (5047 5047 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (4699 702 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4565 400 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (4399 213 (:DEFINITION NATP))
 (4376 79 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (4282 4282 (:TYPE-PRESCRIPTION ABS-FS-P))
 (3954 8 (:REWRITE SUBSETP-OF-REMOVE1))
 (3474 3474 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (3422 1179 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3338 2356 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3298 213 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (3254 48 (:REWRITE REMOVE-WHEN-ABSENT))
 (3148 970 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (3106 78 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (2933 192 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (2842 70 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2714 165 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (2684 2684 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2644 90 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (2603 216 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2289 123 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (2142 213 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2140 123 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (2020 1210 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2005 123 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (1986 34 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1914 264 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (1897 185 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1874 221 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1868 16 (:DEFINITION REMOVE-EQUAL))
 (1686 6 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (1635 497 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1549 518 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1514 275 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1508 1283 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1402 290 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (1354 1354 (:REWRITE SUBSETP-TRANS2))
 (1354 1354 (:REWRITE SUBSETP-TRANS))
 (1336 1283 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1320 1320 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1316 658 (:REWRITE SET-EQUIV-ASYM))
 (1078 1078 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1078 1078 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (954 18 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (879 879 (:REWRITE SUBSETP-MEMBER . 2))
 (856 67 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (848 848 (:TYPE-PRESCRIPTION STRIP-CARS))
 (842 10 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (821 34 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (778 16 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (694 694 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (670 16 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (662 662 (:TYPE-PRESCRIPTION SET-EQUIV))
 (642 47 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (588 588 (:REWRITE SUBSETP-OF-CDR))
 (572 572 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (542 8 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (540 540 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (482 2 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (466 442 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (442 442 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (442 442 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (438 18 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (434 434 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (416 21 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (404 314 (:REWRITE MEMBER-WHEN-ATOM))
 (396 8 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (384 384 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (376 51 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (372 4 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (349 349 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (328 82 (:DEFINITION STRIP-CARS))
 (326 326 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (315 315 (:REWRITE SUBSETP-MEMBER . 4))
 (315 315 (:REWRITE SUBSETP-MEMBER . 3))
 (315 315 (:REWRITE INTERSECTP-MEMBER . 3))
 (315 315 (:REWRITE INTERSECTP-MEMBER . 2))
 (292 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (289 163 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (251 221 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (232 4 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (218 17 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (215 215 (:TYPE-PRESCRIPTION ATOM))
 (214 214 (:TYPE-PRESCRIPTION NATP))
 (213 213 (:REWRITE DEFAULT-<-2))
 (213 213 (:REWRITE DEFAULT-<-1))
 (205 32 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (198 198 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (141 47 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (136 21 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (136 16 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (132 132 (:REWRITE CONSP-OF-STRIP-CARS))
 (128 18 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (108 18 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (105 47 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (104 16 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (104 16 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (104 16 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (89 12 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (80 8 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (76 76 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (72 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (70 70 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (68 68 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (58 4 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (56 16 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (50 5 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (50 4 (:REWRITE SUBSETP-OF-REMOVE2))
 (48 8 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (48 8 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (38 38 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (32 32 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (27 1 (:REWRITE CDR-OF-ASSOC-OF-NIL-WHEN-ABS-FILE-ALIST-P))
 (22 3 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (18 18 (:REWRITE MEMBER-OF-STRIP-CARS))
 (18 18 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (13 12 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (12 2 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (8 8 (:REWRITE SUBSETP-OF-REMOVE))
 (8 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-4))
 (6 6 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (6 6 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (4 4 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (3 3 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 )
(ABSFAT-EQUIV
 (43 43 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(ABSFAT-EQUIV-IS-AN-EQUIVALENCE
 (210 12 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (176 11 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (110 11 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (33 33 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (33 33 (:TYPE-PRESCRIPTION ABS-FS-P))
 (25 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (25 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (22 22 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (22 11 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (22 11 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (11 11 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (11 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (5 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 )
(ABSFAT-EQUIV-OF-ABS-FS-FIX
 (20 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (16 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (10 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (5 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-ADDRS-WHEN-ABSFAT-EQUIV-LEMMA-1
 (44233 717 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (44196 281 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (37306 1827 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (32605 1041 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (29957 350 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (21176 908 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (19143 326 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (17891 289 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (16436 1276 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (15503 551 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (10138 36 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (9815 519 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (9133 194 (:DEFINITION BINARY-APPEND))
 (8325 824 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (8224 281 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (7120 19 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (6937 102 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (6537 6147 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6500 41 (:DEFINITION MEMBER-EQUAL))
 (6302 3427 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6165 263 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (5873 441 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (5739 482 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (5534 824 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5494 367 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (5096 127 (:REWRITE CONSP-OF-APPEND))
 (4238 409 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4166 4166 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (3336 596 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3193 838 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3122 409 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3120 554 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2740 1258 (:REWRITE DEFAULT-CDR))
 (2702 367 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2670 48 (:DEFINITION ASSOC-EQUAL))
 (2625 56 (:REWRITE NFIX-WHEN-ZP))
 (2614 409 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2606 2606 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2544 36 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (2497 613 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2497 613 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2383 56 (:REWRITE ZP-OPEN))
 (2232 744 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2213 2213 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2097 2085 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2020 1588 (:REWRITE DEFAULT-CAR))
 (1937 117 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1935 82 (:REWRITE SUBSETP-CAR-MEMBER))
 (1914 142 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1864 390 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1767 33 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1705 1705 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1632 54 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1630 142 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1610 71 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (1503 366 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1464 132 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1313 22 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (1192 1192 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1149 1149 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1084 1084 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1056 838 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1042 2 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (942 942 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (942 942 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (942 942 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (942 36 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (938 141 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (888 48 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (663 389 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (595 595 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (569 569 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (504 116 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (487 43 (:DEFINITION NATP))
 (447 1 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (382 82 (:REWRITE SUBSETP-MEMBER . 1))
 (374 36 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (344 37 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (306 33 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (296 2 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (275 43 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (266 35 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (225 3 (:REWRITE SUBSETP-CONS-2))
 (192 192 (:REWRITE DEFAULT-<-2))
 (192 192 (:REWRITE DEFAULT-<-1))
 (176 37 (:DEFINITION NFIX))
 (166 166 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (154 154 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (152 2 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (142 142 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (141 141 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (136 12 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (119 11 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (108 108 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (108 108 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (108 108 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (91 5 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (82 82 (:REWRITE SUBSETP-MEMBER . 2))
 (66 6 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (60 60 (:TYPE-PRESCRIPTION ATOM))
 (58 29 (:REWRITE SET-EQUIV-ASYM))
 (54 54 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (43 43 (:TYPE-PRESCRIPTION NATP))
 (43 5 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (36 36 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (36 12 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (35 35 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (33 33 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (29 29 (:TYPE-PRESCRIPTION SET-EQUIV))
 (28 28 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (28 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (27 27 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (22 12 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (21 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (18 18 (:REWRITE SUBSETP-MEMBER . 4))
 (18 18 (:REWRITE SUBSETP-MEMBER . 3))
 (18 18 (:REWRITE MEMBER-WHEN-ATOM))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 3))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 2))
 (15 15 (:REWRITE SUBSETP-OF-CDR))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (7 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 )
(ABS-ADDRS-WHEN-ABSFAT-EQUIV
 (970 60 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (944 16 (:DEFINITION ABS-FS-P))
 (774 14 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (656 16 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (618 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (450 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (438 54 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (386 28 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (382 22 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (332 50 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (258 258 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (254 28 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (228 84 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (180 38 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (166 16 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (158 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (132 44 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (132 44 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (126 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (120 120 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (92 28 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (84 84 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (80 12 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (78 60 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (61 12 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (61 12 (:REWRITE SUBSETP-TRANS))
 (60 22 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (58 58 (:TYPE-PRESCRIPTION ABS-FS-P))
 (56 56 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (54 12 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (44 44 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (44 44 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (44 44 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (44 44 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (44 44 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (38 38 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (18 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (16 16 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (15 15 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (12 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (10 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (10 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (6 6 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 )
(ABS-COMPLETE-WHEN-M1-FILE-ALIST-P)
(ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS
 (8 4 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 )
(ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1
 (424 20 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (336 72 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (226 11 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (126 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (114 17 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (107 13 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (102 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (84 13 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (72 23 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (67 30 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (55 28 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (52 16 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (52 16 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (48 36 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (47 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (36 8 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (32 32 (:REWRITE SUBSETP-TRANS2))
 (32 32 (:REWRITE SUBSETP-TRANS))
 (26 26 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (23 23 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (18 18 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (18 18 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (18 18 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (18 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (11 5 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (10 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (10 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (8 8 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 )
(ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-1
 (528 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (323 14 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (293 26 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (252 12 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (237 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (204 12 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (188 24 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (171 114 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (168 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (156 24 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (116 30 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (81 57 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (80 30 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (72 24 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (72 24 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (66 66 (:TYPE-PRESCRIPTION ABS-FS-P))
 (48 48 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (36 12 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (33 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (32 4 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (30 30 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (24 24 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (24 24 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (24 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (15 15 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (12 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8 4 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(HIFAT-EQUIV-WHEN-ABSFAT-EQUIV
 (66489 37 (:DEFINITION ABS-FS-FIX))
 (39547 229 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (37793 455 (:DEFINITION ABS-FS-P))
 (31474 2131 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (30838 677 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (26655 643 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (11463 259 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (11254 2384 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (10723 37 (:REWRITE ABS-FILE->CONTENTS$INLINE-OF-ABS-FILE-FIX-X))
 (10615 296 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (10467 481 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (8831 37 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (8472 74 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (6457 1158 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6016 772 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5622 37 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (4697 37 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4151 2378 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4151 2378 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3373 428 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2816 352 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (2396 2312 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2384 2384 (:REWRITE SUBSETP-TRANS2))
 (2384 2384 (:REWRITE SUBSETP-TRANS))
 (2367 111 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (2311 33 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2140 74 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (2109 185 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2063 2063 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1715 547 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1715 547 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1656 428 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1628 148 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (1628 37 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1487 25 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1311 399 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1221 37 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1158 1158 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (888 888 (:TYPE-PRESCRIPTION M1-FILE-P))
 (856 856 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (845 363 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (814 148 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (814 148 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (740 296 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (740 37 (:DEFINITION ATOM))
 (703 37 (:DEFINITION ABS-ASSOC-DEFINITION))
 (666 37 (:REWRITE NFIX-WHEN-ZP))
 (666 37 (:DEFINITION ASSOC-EQUAL))
 (666 25 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (658 658 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (658 658 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (629 518 (:REWRITE DEFAULT-CDR))
 (629 185 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (592 592 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (592 518 (:REWRITE DEFAULT-CAR))
 (592 148 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (592 37 (:REWRITE ZP-OPEN))
 (584 584 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (584 584 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (555 555 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (542 74 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (518 222 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (518 37 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (444 148 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (444 111 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (444 37 (:REWRITE NFIX-WHEN-NATP))
 (407 407 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (296 296 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (296 296 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (296 37 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (222 74 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (222 37 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (222 37 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (222 37 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (160 20 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (148 148 (:TYPE-PRESCRIPTION NAT-LISTP))
 (148 148 (:REWRITE DEFAULT-<-2))
 (148 148 (:REWRITE DEFAULT-<-1))
 (148 37 (:DEFINITION NFIX))
 (148 37 (:DEFINITION NATP))
 (111 111 (:TYPE-PRESCRIPTION ZP))
 (111 111 (:REWRITE CDR-CONS))
 (75 25 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (74 74 (:TYPE-PRESCRIPTION LEN))
 (74 74 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (74 74 (:TYPE-PRESCRIPTION FRAME-P))
 (74 74 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (74 74 (:TYPE-PRESCRIPTION ATOM))
 (74 74 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (74 74 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (74 74 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (74 74 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (74 74 (:REWRITE CAR-CONS))
 (74 74 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (62 17 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (50 50 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (45 9 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (45 9 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (37 37 (:TYPE-PRESCRIPTION NATP))
 (37 37 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (37 37 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (37 37 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (37 37 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (37 37 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (37 37 (:REWRITE ABS-FILE->D-E$INLINE-OF-ABS-FILE-FIX-X))
 (24 24 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (20 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (20 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (9 9 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (9 9 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (9 9 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(NAMES-AT
 (1959 703 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (814 13 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (651 651 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (544 15 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (470 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (212 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (174 9 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (166 21 (:DEFINITION ASSOC-EQUAL))
 (154 9 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (142 14 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (135 8 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (132 16 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (129 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (122 8 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (122 8 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (113 7 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (110 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (76 76 (:REWRITE DEFAULT-CAR))
 (64 8 (:DEFINITION MEMBER-EQUAL))
 (53 24 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (49 49 (:REWRITE DEFAULT-CDR))
 (48 16 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (44 14 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (44 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (42 42 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (37 16 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (36 36 (:TYPE-PRESCRIPTION M1-FILE-P))
 (33 31 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (30 30 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (24 9 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (23 8 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (23 7 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (21 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (21 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (18 15 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (17 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (17 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (17 5 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (17 1 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (17 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (16 16 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (16 16 (:REWRITE SUBSETP-MEMBER . 2))
 (16 16 (:REWRITE SUBSETP-MEMBER . 1))
 (16 16 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (15 15 (:REWRITE SUBSETP-TRANS2))
 (15 15 (:REWRITE SUBSETP-TRANS))
 (14 14 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (14 14 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (8 4 (:REWRITE DEFAULT-+-2))
 (8 1 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (7 7 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DEFAULT-+-1))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (2 1 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 )
(FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1
 (1351406 12141 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1192618 10871 (:DEFINITION MEMBER-EQUAL))
 (1180506 3920 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1133541 22704 (:REWRITE SUBSETP-MEMBER . 4))
 (1129059 3574 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (840042 44028 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (795862 3811 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (735730 9152 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (668238 5041 (:REWRITE SUBSETP-CAR-MEMBER))
 (659104 4101 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (624655 3118 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (548056 1786 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (543452 146 (:REWRITE REMOVE-WHEN-ABSENT))
 (453017 2992 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (432353 4067 (:REWRITE SUBSETP-OF-REMOVE2))
 (333165 22729 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (255983 14566 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (255108 3412 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (253731 26 (:REWRITE SUBSETP-CONS-2))
 (228649 17 (:REWRITE SUBSETP-OF-CONS))
 (226437 8558 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (221803 1706 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (212078 1706 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (201330 1706 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (201330 1706 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (194738 4287 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (158223 2992 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (152479 35902 (:REWRITE SUBSETP-MEMBER . 2))
 (140379 5982 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (127081 858 (:REWRITE MEMBER-OF-REMOVE))
 (90405 3733 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (89027 25511 (:REWRITE SUBSETP-TRANS2))
 (85981 4288 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (77772 77772 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (69246 3370 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (65680 54917 (:REWRITE DEFAULT-CDR))
 (62715 51391 (:REWRITE DEFAULT-CAR))
 (61535 2990 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (58327 2024 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (55597 7866 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (55597 7866 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (53880 1745 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (52388 7866 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (51664 7565 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (48385 4304 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (48027 35 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (46830 25272 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (46325 25401 (:REWRITE SUBSETP-TRANS))
 (44346 29 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (40090 3574 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (39487 3526 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (38312 6 (:REWRITE MEMBER-OF-CONS))
 (36374 22532 (:REWRITE MEMBER-WHEN-ATOM))
 (35744 35744 (:REWRITE SUBSETP-MEMBER . 1))
 (34574 25272 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (33341 5010 (:REWRITE MEMBER-OF-STRIP-CARS))
 (33217 4595 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (33217 4595 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (33028 8972 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (28608 28456 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (27197 1824 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (25484 25484 (:REWRITE CONSP-OF-STRIP-CARS))
 (25317 2990 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (24278 24278 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (22780 8464 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (22704 22704 (:REWRITE SUBSETP-MEMBER . 3))
 (22704 22704 (:REWRITE INTERSECTP-MEMBER . 3))
 (22704 22704 (:REWRITE INTERSECTP-MEMBER . 2))
 (22572 325 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (18089 5594 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (17944 17944 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (17910 17758 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (17910 17758 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (17739 17739 (:TYPE-PRESCRIPTION ABS-FS-P))
 (17341 11080 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (15035 15035 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (14982 8607 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (14252 14228 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (14224 1314 (:DEFINITION LEN))
 (13922 4304 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (13873 3646 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (13588 365 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (12143 12141 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (11964 11964 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (11510 5755 (:REWRITE SET-EQUIV-ASYM))
 (10236 5118 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8903 8879 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (8903 8879 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (8607 8607 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8607 8607 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8439 2419 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (8380 6916 (:REWRITE DEFAULT-<-1))
 (7782 2594 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7255 5 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (7181 333 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (7181 333 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (7181 333 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (6916 6916 (:REWRITE DEFAULT-<-2))
 (6818 6818 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (6380 6380 (:TYPE-PRESCRIPTION SET-EQUIV))
 (5992 751 (:DEFINITION ASSOC-EQUAL))
 (5620 2594 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (5594 5594 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5553 5553 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (5118 5118 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (4813 4813 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4159 4159 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (4091 4091 (:REWRITE SUBSETP-OF-CDR))
 (3942 3942 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (3738 3738 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3712 2628 (:REWRITE STR::CONSP-OF-EXPLODE))
 (3594 3594 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (3412 3412 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3409 3409 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (3184 1706 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (3010 3010 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (3010 3010 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2628 1314 (:REWRITE DEFAULT-+-2))
 (2594 2594 (:TYPE-PRESCRIPTION ZP))
 (2086 2086 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (1527 1527 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (1388 1314 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1314 1314 (:REWRITE DEFAULT-+-1))
 (1300 1300 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1039 1039 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (1039 1039 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (975 325 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (975 325 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (972 972 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (703 703 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (658 403 (:DEFINITION NULL))
 (650 650 (:LINEAR LEN-WHEN-PREFIXP))
 (650 650 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (403 403 (:TYPE-PRESCRIPTION NULL))
 (325 325 (:LINEAR POSITION-WHEN-MEMBER))
 (325 325 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (176 16 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (128 32 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (112 112 (:REWRITE SUBSETP-REFL))
 )
(FAT32-FILENAME-LIST-P-OF-NAMES-AT
 (5146 12 (:REWRITE REMOVE-WHEN-ABSENT))
 (4756 139 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2900 17 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (2857 24 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (2852 22 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2694 31 (:DEFINITION MEMBER-EQUAL))
 (2633 29 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2580 4 (:DEFINITION REMOVE-EQUAL))
 (1893 92 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1766 41 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1607 39 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1058 4 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1051 7 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1035 25 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1023 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1012 201 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1008 93 (:DEFINITION ASSOC-EQUAL))
 (990 4 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (849 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (782 4 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (765 255 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (755 327 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (633 88 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (606 208 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (602 42 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (552 32 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (542 88 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (503 19 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (494 41 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (483 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (449 413 (:REWRITE DEFAULT-CAR))
 (447 447 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (440 212 (:REWRITE DEFAULT-CDR))
 (436 436 (:TYPE-PRESCRIPTION STRIP-CARS))
 (430 22 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (376 22 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (361 113 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (344 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (339 92 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (327 327 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (323 109 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (297 113 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (278 278 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (276 54 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (273 21 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (264 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (259 41 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (232 8 (:DEFINITION NATP))
 (208 92 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (202 139 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (201 201 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (197 148 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (196 196 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (186 186 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (184 184 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (176 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (171 171 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (164 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (156 36 (:DEFINITION STRIP-CARS))
 (155 155 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (136 17 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (128 74 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (124 8 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (113 113 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (107 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (97 97 (:TYPE-PRESCRIPTION ABS-FS-P))
 (96 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (95 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (95 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (92 92 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (92 92 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (87 60 (:REWRITE CONSP-OF-STRIP-CARS))
 (84 42 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (80 80 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (74 32 (:REWRITE MEMBER-WHEN-ATOM))
 (69 69 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (68 16 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (68 16 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (68 16 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (62 62 (:REWRITE SUBSETP-MEMBER . 2))
 (62 62 (:REWRITE SUBSETP-MEMBER . 1))
 (62 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (61 34 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (54 12 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (49 34 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (45 45 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (44 1 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (42 42 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (42 42 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (42 6 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (42 4 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (41 41 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (41 41 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (34 34 (:REWRITE SUBSETP-TRANS2))
 (34 34 (:REWRITE SUBSETP-TRANS))
 (32 32 (:REWRITE SUBSETP-MEMBER . 4))
 (32 32 (:REWRITE SUBSETP-MEMBER . 3))
 (32 32 (:REWRITE INTERSECTP-MEMBER . 3))
 (32 32 (:REWRITE INTERSECTP-MEMBER . 2))
 (32 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (28 16 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (21 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (21 12 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (20 20 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (17 17 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (16 16 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (12 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (9 9 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (8 8 (:TYPE-PRESCRIPTION SET-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4 4 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (4 4 (:REWRITE MEMBER-OF-STRIP-CARS))
 (4 4 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (3 1 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1 1 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 )
(NAMES-AT-OF-FAT32-FILENAME-LIST-FIX
 (26606 54 (:REWRITE REMOVE-WHEN-ABSENT))
 (20840 188 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (20224 634 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (17075 167 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (16346 108 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (15392 137 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (14442 18 (:DEFINITION REMOVE-EQUAL))
 (13048 90 (:DEFINITION MEMBER-EQUAL))
 (8712 84 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (8639 603 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6220 137 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (4745 197 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (4686 18 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (4380 18 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (3708 18 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3636 18 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (3632 176 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3351 131 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2872 300 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2777 167 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2777 167 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2418 806 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2394 144 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2292 278 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2231 310 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2102 197 (:DEFINITION ASSOC-EQUAL))
 (2077 131 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2013 376 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2006 310 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1962 1962 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1723 537 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1500 300 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1481 447 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1320 1157 (:REWRITE DEFAULT-CAR))
 (1308 72 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1268 1268 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1200 1200 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1164 1164 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1098 36 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1074 358 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1074 358 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1048 131 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1044 36 (:DEFINITION NATP))
 (1027 634 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (887 751 (:REWRITE DEFAULT-CDR))
 (836 836 (:TYPE-PRESCRIPTION ABS-FS-P))
 (792 36 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (672 162 (:DEFINITION STRIP-CARS))
 (670 670 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (633 197 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (620 620 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (596 596 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (576 36 (:REWRITE SUBSETP-CAR-MEMBER))
 (537 537 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (534 18 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (516 78 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (509 335 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (504 108 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (504 72 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (489 179 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (480 18 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (480 12 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (450 450 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (447 447 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (432 36 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (430 197 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (394 394 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (394 394 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (393 131 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (376 376 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (358 358 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (358 358 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (324 270 (:REWRITE CONSP-OF-STRIP-CARS))
 (318 144 (:REWRITE MEMBER-WHEN-ATOM))
 (300 300 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (276 72 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (276 72 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (276 72 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (270 18 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (268 268 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (262 262 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (227 11 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (180 180 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (180 180 (:REWRITE SUBSETP-MEMBER . 2))
 (180 180 (:REWRITE SUBSETP-MEMBER . 1))
 (180 12 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (174 174 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (144 144 (:REWRITE SUBSETP-MEMBER . 4))
 (144 144 (:REWRITE SUBSETP-MEMBER . 3))
 (144 144 (:REWRITE INTERSECTP-MEMBER . 3))
 (144 144 (:REWRITE INTERSECTP-MEMBER . 2))
 (144 36 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (144 18 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (131 131 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (131 131 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (126 72 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (108 108 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (90 90 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (90 12 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (78 78 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (72 72 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (72 72 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (72 72 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (72 72 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (72 72 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (72 54 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (72 36 (:REWRITE SET-EQUIV-ASYM))
 (72 18 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (60 12 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (36 36 (:TYPE-PRESCRIPTION SET-EQUIV))
 (36 36 (:TYPE-PRESCRIPTION NATP))
 (36 36 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (36 36 (:REWRITE SUBSETP-OF-CDR))
 (36 36 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (36 36 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (36 36 (:REWRITE DEFAULT-<-2))
 (36 36 (:REWRITE DEFAULT-<-1))
 (36 12 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (31 31 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (23 23 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (23 23 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (18 18 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (18 18 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (18 18 (:REWRITE MEMBER-OF-STRIP-CARS))
 (18 18 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (12 12 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 )
(FAT32-FILENAME-LIST-EQUIV-IMPLIES-EQUAL-NAMES-AT-2
 (12 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(NAMES-AT-OF-ABS-FS-FIX
 (8154 24 (:REWRITE REMOVE-WHEN-ABSENT))
 (5190 195 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4024 38 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (4009 35 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (3954 48 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (3800 40 (:DEFINITION MEMBER-EQUAL))
 (3752 8 (:DEFINITION REMOVE-EQUAL))
 (3506 58 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2116 8 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1980 8 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1814 43 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1698 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1651 179 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1247 52 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1186 8 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (1104 64 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1017 37 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (927 98 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (872 872 (:TYPE-PRESCRIPTION STRIP-CARS))
 (672 72 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (660 60 (:DEFINITION ASSOC-EQUAL))
 (657 219 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (636 38 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (636 38 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (624 81 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (569 37 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (558 81 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (528 16 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (502 153 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (494 422 (:REWRITE DEFAULT-CAR))
 (464 16 (:DEFINITION NATP))
 (460 96 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (443 132 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (390 390 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (360 72 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (352 16 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (339 339 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (320 272 (:REWRITE DEFAULT-CDR))
 (316 34 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (312 72 (:DEFINITION STRIP-CARS))
 (306 195 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (296 37 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (286 286 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (266 266 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (264 88 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (264 88 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (256 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (224 48 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (222 222 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (217 133 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (214 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (200 200 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (199 52 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (192 16 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (190 8 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (176 8 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (174 120 (:REWRITE CONSP-OF-STRIP-CARS))
 (174 27 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (162 162 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (153 153 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (148 64 (:REWRITE MEMBER-WHEN-ATOM))
 (140 140 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (136 32 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (136 32 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (136 32 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (132 132 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (131 13 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (125 44 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (120 120 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (120 8 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (111 37 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (109 52 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (104 104 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (96 96 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (88 88 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (88 88 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (84 8 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (80 80 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (80 80 (:REWRITE SUBSETP-MEMBER . 2))
 (80 80 (:REWRITE SUBSETP-MEMBER . 1))
 (80 80 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (74 74 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (72 72 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (72 72 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (64 64 (:REWRITE SUBSETP-MEMBER . 4))
 (64 64 (:REWRITE SUBSETP-MEMBER . 3))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 3))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 2))
 (64 16 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (56 32 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (48 48 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (42 24 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (40 40 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (40 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (37 37 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (37 37 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (32 32 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (32 32 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (32 32 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (32 16 (:REWRITE SET-EQUIV-ASYM))
 (32 8 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (16 16 (:TYPE-PRESCRIPTION SET-EQUIV))
 (16 16 (:TYPE-PRESCRIPTION NATP))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (16 16 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (16 16 (:REWRITE SUBSETP-OF-CDR))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE DEFAULT-<-2))
 (16 16 (:REWRITE DEFAULT-<-1))
 (15 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (8 8 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (8 8 (:REWRITE SUBSETP-TRANS2))
 (8 8 (:REWRITE SUBSETP-TRANS))
 (8 8 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (8 8 (:REWRITE MEMBER-OF-STRIP-CARS))
 (8 8 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (6 2 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (5 1 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-P))
 )
(ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1
 (12394 753 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (11994 456 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10721 108 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (10713 712 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (10531 277 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (6888 129 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (5991 1997 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5502 291 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4374 307 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3217 81 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3156 41 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (3114 119 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (2570 150 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2363 297 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2240 322 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2085 189 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1804 108 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1800 1800 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1621 189 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1502 1502 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1493 269 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (1485 189 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1296 258 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1296 120 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1288 30 (:DEFINITION MEMBER-EQUAL))
 (1195 27 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1177 60 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (1162 202 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1077 1077 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1056 120 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1010 560 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (992 33 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (977 247 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (972 187 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (963 40 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (823 369 (:REWRITE DEFAULT-CDR))
 (792 172 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (792 172 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (782 172 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (770 150 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (755 753 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (726 726 (:TYPE-PRESCRIPTION ABS-FS-P))
 (560 560 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (516 516 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (448 30 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (410 410 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (399 399 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (378 18 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (348 45 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (344 344 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (344 100 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (344 100 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (322 322 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (297 297 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (255 255 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (247 247 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (242 242 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (234 18 (:DEFINITION NATP))
 (228 150 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (180 18 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (160 16 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (148 44 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (147 147 (:REWRITE SUBSETP-TRANS2))
 (147 147 (:REWRITE SUBSETP-TRANS))
 (144 144 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (144 144 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (140 28 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (128 16 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (122 122 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (122 122 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (122 122 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (120 120 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (108 18 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (108 18 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (88 5 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (62 62 (:REWRITE SUBSETP-MEMBER . 2))
 (43 5 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (41 41 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (41 41 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (40 40 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (36 36 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (36 36 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (36 36 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (32 16 (:REWRITE SET-EQUIV-ASYM))
 (28 28 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (28 5 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (22 22 (:TYPE-PRESCRIPTION ATOM))
 (21 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (18 18 (:TYPE-PRESCRIPTION NATP))
 (18 18 (:REWRITE SUBSETP-MEMBER . 4))
 (18 18 (:REWRITE SUBSETP-MEMBER . 3))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 3))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 2))
 (18 18 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (18 18 (:REWRITE DEFAULT-<-2))
 (18 18 (:REWRITE DEFAULT-<-1))
 (16 16 (:TYPE-PRESCRIPTION SET-EQUIV))
 (16 16 (:REWRITE SUBSETP-OF-CDR))
 (16 16 (:REWRITE MEMBER-WHEN-ATOM))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 )
(ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2
 (192 64 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (128 64 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (19 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (18 18 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (16 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (11 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (9 2 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-3
 (726 242 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (496 4 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (484 242 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (298 14 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (192 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (190 20 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (128 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (116 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (86 14 (:REWRITE DEFAULT-CDR))
 (76 10 (:DEFINITION ASSOC-EQUAL))
 (68 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (67 11 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (61 61 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (56 8 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (56 4 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (56 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (48 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (44 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (30 30 (:REWRITE DEFAULT-CAR))
 (28 28 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (24 12 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (24 8 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (24 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (20 20 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (20 10 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (20 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (16 8 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (14 14 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 4 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (11 11 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (11 11 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 8 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (8 8 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (8 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (8 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (8 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4
 (384 128 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (384 128 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (128 128 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 )
(ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-5
 (18410 470 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (16765 553 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (14172 1004 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (12846 73 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (12133 40 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (11810 767 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (10429 223 (:DEFINITION MEMBER-EQUAL))
 (9384 85 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (8476 40 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (8300 288 (:REWRITE SUBSETP-MEMBER . 4))
 (8060 355 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (7859 42 (:REWRITE REMOVE-WHEN-ABSENT))
 (7149 27 (:REWRITE SUBSETP-OF-REMOVE2))
 (6161 297 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (5628 141 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (5484 265 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (4973 36 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (3909 135 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (3513 208 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (3449 40 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (3308 61 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (3299 455 (:REWRITE SUBSETP-MEMBER . 2))
 (3097 444 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2994 104 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2976 100 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2588 100 (:DEFINITION NATP))
 (2406 46 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2391 248 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2004 2004 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1987 302 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1963 131 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1960 100 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1768 931 (:REWRITE DEFAULT-CDR))
 (1667 149 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1647 549 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1617 1617 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1608 2 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (1529 131 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1483 85 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (1409 36 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (1388 764 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1378 46 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1322 229 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (1244 92 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1235 131 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1136 236 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1136 46 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (1116 262 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1100 256 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1080 100 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1062 94 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1045 712 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1045 236 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1045 236 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1017 208 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1006 1004 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (966 3 (:REWRITE MEMBER-OF-CONS))
 (884 884 (:TYPE-PRESCRIPTION ABS-FS-P))
 (856 59 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (764 764 (:TYPE-PRESCRIPTION M1-FILE-P))
 (764 764 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (752 160 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (752 160 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (752 160 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (665 4 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (628 628 (:REWRITE CONSP-OF-STRIP-CARS))
 (626 356 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (609 609 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (590 590 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (558 282 (:REWRITE MEMBER-WHEN-ATOM))
 (524 524 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (517 283 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (512 152 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (512 152 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (475 54 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (472 472 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (444 444 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (440 22 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (440 4 (:REWRITE MEMBER-OF-REMOVE))
 (414 299 (:REWRITE SUBSETP-TRANS))
 (373 284 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (365 64 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (347 19 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (342 342 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (340 100 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (332 208 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (321 3 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (320 200 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (296 36 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (288 288 (:REWRITE SUBSETP-MEMBER . 3))
 (288 288 (:REWRITE INTERSECTP-MEMBER . 3))
 (288 288 (:REWRITE INTERSECTP-MEMBER . 2))
 (288 48 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (278 11 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (272 272 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (262 262 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (256 256 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (248 248 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (228 228 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (228 228 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (200 200 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (200 200 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (200 200 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (192 32 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (192 32 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (180 180 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (180 180 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (180 180 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (180 90 (:REWRITE SET-EQUIV-ASYM))
 (176 56 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (171 171 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (160 160 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (128 16 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (122 122 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (115 19 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (114 114 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (114 114 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (100 100 (:TYPE-PRESCRIPTION NATP))
 (100 100 (:REWRITE DEFAULT-<-2))
 (100 100 (:REWRITE DEFAULT-<-1))
 (96 96 (:TYPE-PRESCRIPTION SET-EQUIV))
 (94 6 (:REWRITE SUBSETP-CONS-2))
 (92 92 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (92 5 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (79 79 (:REWRITE SUBSETP-OF-CDR))
 (75 74 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (56 56 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (55 55 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (50 50 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (46 46 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (44 11 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (42 5 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (28 28 (:TYPE-PRESCRIPTION ATOM))
 (25 25 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (25 25 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (23 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (17 17 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (12 2 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (12 2 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (12 2 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (12 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 )
(ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6
 (24141 998 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (19367 7 (:DEFINITION ABSFAT-SUBSETP))
 (19027 354 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (15542 36 (:REWRITE REMOVE-WHEN-ABSENT))
 (9217 246 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (9027 72 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (8649 85 (:DEFINITION MEMBER-EQUAL))
 (8451 94 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (8134 12 (:DEFINITION REMOVE-EQUAL))
 (7229 118 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (6588 695 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (6048 342 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5807 22 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (4959 119 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4792 106 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (4612 94 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (4584 106 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (3932 119 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (3729 1243 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3597 292 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3401 342 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3370 344 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3050 12 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (3047 47 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (3013 405 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (2846 12 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2818 89 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (2653 292 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2430 12 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (2195 12 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (2122 1087 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2058 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2028 1052 (:REWRITE DEFAULT-CDR))
 (1996 1996 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1884 1776 (:REWRITE DEFAULT-CAR))
 (1881 29 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (1862 118 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1844 353 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1837 1837 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1835 591 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1835 344 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1809 591 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1776 1760 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1686 495 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1510 1510 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1451 74 (:REWRITE SUBSETP-CAR-MEMBER))
 (1365 35 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1268 1268 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1221 1221 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1220 912 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1187 137 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1108 72 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (1108 53 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1092 38 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (1087 1087 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1026 1026 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1016 998 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (974 974 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (956 65 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (926 342 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (878 38 (:DEFINITION NATP))
 (863 5 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (780 38 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (721 14 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (695 695 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (688 688 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (688 22 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (684 104 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (668 38 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (606 606 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (606 606 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (599 132 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (552 37 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (540 540 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (467 7 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (440 108 (:DEFINITION STRIP-CARS))
 (405 405 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (393 393 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (382 270 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (372 38 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (349 349 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (340 36 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (328 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (292 12 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (270 70 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (263 137 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (257 38 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (230 118 (:REWRITE MEMBER-WHEN-ATOM))
 (227 137 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (212 212 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (212 50 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (198 180 (:REWRITE CONSP-OF-STRIP-CARS))
 (194 194 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (183 139 (:REWRITE SUBSETP-TRANS2))
 (172 48 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (172 48 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (172 48 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (170 170 (:REWRITE SUBSETP-MEMBER . 2))
 (170 170 (:REWRITE SUBSETP-MEMBER . 1))
 (155 61 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (140 139 (:REWRITE SUBSETP-TRANS))
 (135 6 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (133 133 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (132 132 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (124 124 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (122 122 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (119 119 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (118 118 (:REWRITE SUBSETP-MEMBER . 4))
 (118 118 (:REWRITE SUBSETP-MEMBER . 3))
 (118 118 (:REWRITE INTERSECTP-MEMBER . 3))
 (118 118 (:REWRITE INTERSECTP-MEMBER . 2))
 (112 76 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (110 38 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (90 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (84 12 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (76 76 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (76 76 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (76 38 (:REWRITE SET-EQUIV-ASYM))
 (72 72 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (62 5 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (60 60 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (49 7 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (48 48 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (48 48 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (48 48 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (42 36 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (38 38 (:TYPE-PRESCRIPTION SET-EQUIV))
 (38 38 (:TYPE-PRESCRIPTION NATP))
 (38 38 (:REWRITE SUBSETP-OF-CDR))
 (38 38 (:REWRITE DEFAULT-<-2))
 (38 38 (:REWRITE DEFAULT-<-1))
 (36 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (24 24 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (24 24 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (14 14 (:TYPE-PRESCRIPTION ATOM))
 (14 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (12 12 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (12 12 (:REWRITE MEMBER-OF-STRIP-CARS))
 (12 12 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (12 12 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (6 1 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (2 2 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (1 1 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 )
(ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1
 (152 8 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (128 8 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (80 8 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (16 16 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (16 8 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16 8 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION NAMES-AT))
 (10 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (10 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (8 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 )
(NAMES-AT-WHEN-PREFIXP
 (96168 110 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (95720 215 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (70962 95 (:DEFINITION MEMBER-EQUAL))
 (59704 4876 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (53981 1337 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (35125 2167 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (33043 346 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (31876 873 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (27808 4145 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (13148 692 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (12310 125 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (11913 575 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (11185 2830 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (10052 281 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (9752 9752 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (8792 816 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (7773 191 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (7760 331 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (7676 181 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (7439 865 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (5709 173 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (5549 592 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5438 5438 (:TYPE-PRESCRIPTION ABS-FS-P))
 (5232 98 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (5197 4876 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5183 817 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5183 817 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5088 118 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (4971 20 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (4671 173 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4629 20 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (4498 346 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (4216 1610 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4149 3430 (:REWRITE DEFAULT-CDR))
 (4105 3588 (:REWRITE DEFAULT-CAR))
 (4052 98 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (3942 19 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3899 592 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3629 1553 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3269 1974 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3216 3216 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (3114 173 (:REWRITE NFIX-WHEN-ZP))
 (3034 21 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (2912 557 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (2850 63 (:REWRITE LEN-WHEN-PREFIXP))
 (2830 2830 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2768 173 (:REWRITE ZP-OPEN))
 (2763 107 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (2746 1362 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2737 797 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2737 797 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2634 485 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2627 331 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2595 2595 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (2571 152 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2506 394 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2505 835 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2422 346 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (2422 173 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (2211 211 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2076 173 (:REWRITE NFIX-WHEN-NATP))
 (1974 1974 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1950 1950 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1913 63 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1815 214 (:DEFINITION NATP))
 (1742 1742 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1672 107 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1626 263 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1494 211 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1384 173 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (1322 1322 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1184 1184 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1181 1181 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1130 226 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1089 873 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (970 970 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (970 970 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (896 63 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (889 811 (:REWRITE DEFAULT-<-2))
 (888 811 (:REWRITE DEFAULT-<-1))
 (859 331 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (856 107 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (848 661 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (816 816 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (815 815 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (722 168 (:DEFINITION STRIP-CARS))
 (608 38 (:REWRITE SUBSETP-CAR-MEMBER))
 (596 596 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (532 114 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (531 19 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (479 422 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (474 19 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (456 228 (:REWRITE DEFAULT-+-2))
 (422 422 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (422 422 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (354 354 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (346 346 (:TYPE-PRESCRIPTION ATOM))
 (336 48 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (327 109 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (327 109 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (325 211 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (321 107 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (296 76 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (296 76 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (296 76 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (285 19 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (257 257 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (240 80 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (228 228 (:REWRITE DEFAULT-+-1))
 (227 227 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (226 226 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (225 225 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (218 218 (:LINEAR LEN-WHEN-PREFIXP))
 (214 214 (:TYPE-PRESCRIPTION NATP))
 (214 214 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (199 199 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (199 199 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (197 197 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (191 191 (:REWRITE SUBSETP-MEMBER . 2))
 (191 191 (:REWRITE SUBSETP-MEMBER . 1))
 (190 190 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (180 19 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (151 151 (:REWRITE SUBSETP-MEMBER . 4))
 (151 151 (:REWRITE SUBSETP-MEMBER . 3))
 (151 151 (:REWRITE INTERSECTP-MEMBER . 3))
 (151 151 (:REWRITE INTERSECTP-MEMBER . 2))
 (140 104 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (136 97 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (114 114 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (109 109 (:LINEAR POSITION-WHEN-MEMBER))
 (109 109 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (107 107 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (107 107 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (104 104 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (104 104 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (98 98 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (98 98 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (98 98 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (98 98 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (95 95 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (90 57 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (90 13 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (80 80 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (76 76 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (76 76 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (76 38 (:REWRITE SET-EQUIV-ASYM))
 (76 19 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (59 59 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (55 55 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (55 55 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (40 8 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (38 38 (:TYPE-PRESCRIPTION SET-EQUIV))
 (38 38 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (38 38 (:REWRITE SUBSETP-OF-CDR))
 (38 38 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (38 38 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (24 8 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (19 19 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (19 19 (:REWRITE SUBSETP-TRANS2))
 (19 19 (:REWRITE SUBSETP-TRANS))
 (19 19 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (18 18 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (8 8 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (4 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 )
(ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-1
 (17001 90 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (16508 165 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (16293 1045 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (9972 195 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (5533 184 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (5528 391 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (5397 296 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (4981 60 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (4876 16 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (4816 736 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (4712 138 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (4002 95 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3874 72 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (3103 208 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (2903 169 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2720 170 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2624 286 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2579 117 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2531 574 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2300 2186 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2296 170 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2265 574 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2246 56 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2152 42 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2058 2058 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1976 218 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1904 8 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (1888 8 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (1633 67 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (1625 117 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1430 48 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1293 42 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1195 560 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1154 296 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1143 1029 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1118 184 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1084 274 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1058 72 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (948 142 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (918 18 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (917 367 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (912 912 (:TYPE-PRESCRIPTION ABS-FS-P))
 (808 170 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (738 738 (:TYPE-PRESCRIPTION M1-FILE-P))
 (632 48 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (608 608 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (596 596 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (585 195 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (578 90 (:REWRITE SUBSETP-MEMBER . 3))
 (574 494 (:REWRITE DEFAULT-CAR))
 (571 45 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (560 560 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (476 148 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (476 148 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (473 383 (:REWRITE DEFAULT-CDR))
 (427 42 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (406 41 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (406 10 (:REWRITE SUBSETP-OF-CONS))
 (389 389 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (342 19 (:REWRITE NFIX-WHEN-ZP))
 (304 19 (:REWRITE ZP-OPEN))
 (282 282 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (278 278 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (270 270 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (268 184 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (257 53 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (247 247 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (246 41 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (228 57 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (228 19 (:REWRITE NFIX-WHEN-NATP))
 (211 117 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (192 192 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (190 11 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (164 164 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (164 164 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (154 42 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (138 72 (:REWRITE MEMBER-WHEN-ATOM))
 (132 73 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (130 73 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (126 126 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (114 19 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (114 19 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (112 112 (:REWRITE SUBSETP-MEMBER . 2))
 (108 108 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (104 104 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (101 101 (:REWRITE SUBSETP-TRANS2))
 (101 101 (:REWRITE SUBSETP-TRANS))
 (93 90 (:REWRITE DEFAULT-<-1))
 (90 90 (:REWRITE SUBSETP-MEMBER . 4))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 3))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 2))
 (90 90 (:REWRITE DEFAULT-<-2))
 (82 82 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (71 71 (:TYPE-PRESCRIPTION ATOM))
 (50 18 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (43 43 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (42 42 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (42 1 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (41 41 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (38 38 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (38 38 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (38 38 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (29 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (24 12 (:REWRITE SET-EQUIV-ASYM))
 (20 20 (:TYPE-PRESCRIPTION SET-EQUIV))
 (19 19 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (19 19 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (18 18 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (18 18 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 16 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (12 12 (:REWRITE SUBSETP-OF-CDR))
 (12 12 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (10 1 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (9 1 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (6 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1 1 (:REWRITE CONS-CAR-CDR))
 )
(ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4
 (58416 3092 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (39066 131 (:DEFINITION MEMBER-EQUAL))
 (31370 2424 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (31201 222 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (27882 1120 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (24624 409 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (21061 90 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (20614 717 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (20578 913 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (20007 260 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (17983 368 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (17381 305 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (12166 437 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (10520 26 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (10335 1211 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (9739 625 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (7911 401 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (7698 721 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (7668 848 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (6304 341 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (6180 6180 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6081 215 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (5431 179 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (5209 56 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (4654 4613 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4607 778 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4517 966 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4370 2282 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4231 720 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3939 720 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3934 136 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3837 625 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3528 1176 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3484 530 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (3398 222 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (3217 3092 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2760 1176 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (2733 2733 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2698 119 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (2572 663 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2457 401 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2342 41 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2282 2282 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (2273 551 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2211 663 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2127 138 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1966 1966 (:REWRITE DEFAULT-CAR))
 (1685 1685 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1684 784 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1544 26 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1446 1446 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1440 1440 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1398 1202 (:REWRITE DEFAULT-CDR))
 (1345 108 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1342 1342 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (1223 76 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1216 151 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1184 625 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1096 1096 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1092 48 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1054 91 (:DEFINITION NATP))
 (1050 966 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (938 938 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (910 910 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (890 890 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (842 842 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (795 39 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-1))
 (749 691 (:REWRITE SUBSETP-TRANS))
 (733 640 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (731 641 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (726 726 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (726 726 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (720 112 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (708 318 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (648 108 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (618 29 (:REWRITE NFIX-WHEN-ZP))
 (596 56 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (560 29 (:REWRITE ZP-OPEN))
 (534 48 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (492 4 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (456 176 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (433 91 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (370 247 (:REWRITE MEMBER-WHEN-ATOM))
 (354 29 (:REWRITE NFIX-WHEN-NATP))
 (345 93 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (312 216 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (310 310 (:REWRITE SUBSETP-MEMBER . 2))
 (284 284 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (260 260 (:REWRITE SUBSETP-MEMBER . 4))
 (260 260 (:REWRITE INTERSECTP-MEMBER . 3))
 (260 260 (:REWRITE INTERSECTP-MEMBER . 2))
 (216 216 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (215 215 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (204 180 (:REWRITE DEFAULT-<-1))
 (184 184 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (184 184 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (184 184 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (180 180 (:REWRITE DEFAULT-<-2))
 (180 18 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (176 176 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (130 48 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (112 112 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (108 108 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (96 16 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (91 91 (:TYPE-PRESCRIPTION NATP))
 (90 30 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (88 88 (:TYPE-PRESCRIPTION ATOM))
 (82 82 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (80 40 (:REWRITE SET-EQUIV-ASYM))
 (66 6 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (64 8 (:REWRITE SUBSETP-CONS-2))
 (56 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (42 42 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (41 41 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (40 40 (:TYPE-PRESCRIPTION SET-EQUIV))
 (34 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (32 32 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (26 26 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (23 23 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (23 23 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (23 23 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (23 23 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (21 21 (:REWRITE SUBSETP-OF-CDR))
 (18 2 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (18 1 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (17 17 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 16 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (14 1 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (12 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (11 2 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (6 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (5 1 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 )
(ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2
 (174 58 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (174 58 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (159 8 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (132 9 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (64 64 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (61 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (59 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (58 58 (:TYPE-PRESCRIPTION FRAME-P))
 (51 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (45 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (42 3 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (37 37 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (33 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (30 3 (:DEFINITION ASSOC-EQUAL))
 (28 28 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (24 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (22 2 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (18 18 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (18 9 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (18 6 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (18 6 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (11 11 (:REWRITE DEFAULT-CAR))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (9 9 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (9 9 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (9 5 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (9 3 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (6 6 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (6 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (6 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 )
(ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-3
 (15707 700 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (7647 156 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (6582 48 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (5981 115 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (5618 78 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (5203 132 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (5176 132 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (4508 266 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (4493 161 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (4428 498 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3522 1174 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3239 266 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2416 254 (:DEFINITION ASSOC-EQUAL))
 (2024 221 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1922 235 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1848 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1682 1682 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1629 74 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1563 167 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1563 167 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1475 232 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1464 221 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1427 696 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1400 1400 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1332 476 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1332 476 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1268 115 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (1115 223 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1083 1056 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (994 994 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (952 6 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (884 54 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (880 432 (:REWRITE DEFAULT-CDR))
 (872 872 (:REWRITE DEFAULT-CAR))
 (771 771 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (770 110 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (749 74 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (721 700 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (701 266 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (696 696 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (508 508 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (498 498 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (488 48 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (446 446 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (442 442 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (428 428 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (428 428 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (420 60 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (349 231 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (266 6 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (264 264 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (223 223 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (223 223 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (193 7 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (164 11 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 (155 14 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (155 14 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (140 140 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (123 123 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (109 109 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (108 108 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (105 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (84 28 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (80 80 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (79 79 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (74 74 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (70 70 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (69 16 (:REWRITE SUBSETP-TRANS2))
 (60 10 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (46 10 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (42 30 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (42 9 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (30 30 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (28 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (27 27 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (17 16 (:REWRITE SUBSETP-TRANS))
 (14 14 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (14 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (14 14 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (11 11 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (8 8 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 )
(ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1
 (786 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (258 6 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (220 40 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (216 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (194 14 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (166 16 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (132 12 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (126 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (108 108 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (108 6 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (102 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (90 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (80 80 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (78 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (68 22 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (66 18 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (66 6 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (58 40 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (50 22 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (48 6 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (42 18 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (42 18 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (30 12 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (22 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (18 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (14 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (14 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 12 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:TYPE-PRESCRIPTION ADDRS-AT))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (12 12 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (12 6 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (10 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (10 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-5))
 )
(ABS-NO-DUPS-P-OF-CTX-APP-LEMMA-1
 (183036 7309 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (126718 517 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (99202 2441 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (96284 1620 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (89766 2306 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (45972 1474 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (33651 517 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (33109 1693 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (31018 3496 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (29107 1423 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (21484 1693 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (17339 3630 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (16759 1967 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (16397 36 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (14681 1818 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (14546 14546 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (14206 677 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (12746 1803 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (11936 28 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (11528 48 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (10950 5667 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10926 3642 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (10711 139 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (8496 2772 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (8224 704 (:DEFINITION LEN))
 (7518 7273 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (7263 286 (:REWRITE SUBSETP-CAR-MEMBER))
 (7199 3 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1))
 (7110 2112 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (6930 163 (:DEFINITION MEMBER-EQUAL))
 (6671 978 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (6346 181 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (6248 2068 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5835 772 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5667 5667 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (5344 5344 (:TYPE-PRESCRIPTION M1-FILE-P))
 (5235 132 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (5206 16 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (4923 19 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (4896 4896 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4852 677 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4663 161 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (4549 57 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (4472 348 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4451 4451 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4423 184 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (4370 33 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (4182 1026 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3955 3955 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3869 3869 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3770 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3760 195 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3641 1693 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (3612 8 (:REWRITE EQUAL-OF-ABS-FILE))
 (3496 3496 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3445 82 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (3424 760 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (3415 223 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3332 3332 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (3260 132 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (3054 158 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (3008 677 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2989 149 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (2750 760 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2612 8 (:REWRITE SUBSETP-OF-REMOVE1))
 (2538 23 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (2496 1408 (:REWRITE STR::CONSP-OF-EXPLODE))
 (2336 24 (:REWRITE REMOVE-WHEN-ABSENT))
 (2158 2158 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (2116 1069 (:REWRITE DEFAULT-<-1))
 (2112 2112 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (2090 2090 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2090 2090 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2064 2064 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1788 1788 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1666 1666 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (1640 1640 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1543 1543 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (1418 50 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (1408 704 (:REWRITE DEFAULT-+-2))
 (1198 46 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1156 244 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1132 8 (:DEFINITION REMOVE-EQUAL))
 (1069 1069 (:REWRITE DEFAULT-<-2))
 (1069 49 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (980 980 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (964 964 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (938 38 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (926 14 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (847 847 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (838 6 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (837 837 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (800 704 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (798 62 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (772 8 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (748 4 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (704 704 (:REWRITE DEFAULT-+-1))
 (612 306 (:REWRITE SET-EQUIV-ASYM))
 (596 596 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (548 482 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (511 19 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (482 2 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (447 149 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (447 149 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (437 20 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (420 14 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (378 378 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (378 30 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (342 342 (:REWRITE SUBSETP-MEMBER . 2))
 (342 342 (:REWRITE SUBSETP-MEMBER . 1))
 (332 22 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (320 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (310 310 (:TYPE-PRESCRIPTION SET-EQUIV))
 (307 307 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (302 302 (:REWRITE SUBSETP-OF-CDR))
 (298 298 (:LINEAR LEN-WHEN-PREFIXP))
 (298 298 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (284 284 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (252 88 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (205 181 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (192 192 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (188 22 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (185 185 (:REWRITE SUBSETP-TRANS2))
 (185 185 (:REWRITE SUBSETP-TRANS))
 (181 181 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (168 168 (:TYPE-PRESCRIPTION NULL))
 (168 168 (:DEFINITION NULL))
 (149 149 (:LINEAR POSITION-WHEN-MEMBER))
 (149 149 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (140 20 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (136 136 (:TYPE-PRESCRIPTION ATOM))
 (131 131 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (112 58 (:REWRITE MEMBER-WHEN-ATOM))
 (110 10 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (104 16 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (104 16 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (104 16 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (92 92 (:REWRITE CONSP-OF-STRIP-CARS))
 (88 88 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (84 14 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (80 14 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (58 58 (:REWRITE SUBSETP-MEMBER . 4))
 (58 58 (:REWRITE SUBSETP-MEMBER . 3))
 (58 58 (:REWRITE INTERSECTP-MEMBER . 3))
 (58 58 (:REWRITE INTERSECTP-MEMBER . 2))
 (56 56 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (51 39 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (48 8 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (48 8 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (46 46 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (46 22 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (40 40 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (39 39 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (39 39 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (32 32 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (26 2 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (24 8 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (18 3 (:REWRITE HIFAT-NO-DUPS-P-OF-REMOVE1-ASSOC-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE MEMBER-OF-STRIP-CARS))
 (14 14 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (8 8 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (6 6 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 4 (:REWRITE SUBSETP-OF-REMOVE))
 (4 4 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 )
(ABS-NO-DUPS-P-OF-CTX-APP-LEMMA-4
 (11304 48 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (10294 925 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (8559 719 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6905 291 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6874 14 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (6080 159 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (5838 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (5725 62 (:REWRITE SUBSETP-CAR-MEMBER))
 (5573 256 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (5462 55 (:DEFINITION MEMBER-EQUAL))
 (4784 297 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (4680 63 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (4618 8 (:REWRITE SUBSETP-OF-REMOVE1))
 (4497 140 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (3905 89 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (3826 48 (:REWRITE REMOVE-WHEN-ABSENT))
 (3744 138 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (3502 78 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (3238 70 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3203 138 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (2658 886 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2359 253 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2352 51 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2142 418 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2053 63 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (2014 129 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1954 18 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1938 187 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1906 57 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1868 16 (:DEFINITION REMOVE-EQUAL))
 (1846 1846 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1842 10 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1633 1621 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1621 1621 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1429 127 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1292 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1215 25 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (1210 25 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1190 54 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1066 25 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1040 544 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (939 925 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (848 848 (:TYPE-PRESCRIPTION STRIP-CARS))
 (826 90 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (746 18 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (726 726 (:TYPE-PRESCRIPTION ABS-FS-P))
 (724 664 (:REWRITE DEFAULT-CDR))
 (658 60 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (617 48 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (609 73 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (599 27 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (592 72 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (576 54 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (571 571 (:TYPE-PRESCRIPTION M1-FILE-P))
 (566 72 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (482 2 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (418 418 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (418 257 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (416 416 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (410 18 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (404 12 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (375 375 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (328 82 (:DEFINITION STRIP-CARS))
 (311 14 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (304 12 (:DEFINITION NATP))
 (294 86 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (294 86 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (288 288 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (270 144 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (264 8 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (261 129 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (257 257 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (240 4 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (232 12 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (216 48 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (216 48 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (183 43 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (180 90 (:REWRITE MEMBER-WHEN-ATOM))
 (177 177 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (168 168 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (168 84 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (162 162 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (154 154 (:REWRITE SUBSETP-MEMBER . 2))
 (154 154 (:REWRITE SUBSETP-MEMBER . 1))
 (144 144 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (140 70 (:REWRITE SET-EQUIV-ASYM))
 (132 132 (:REWRITE CONSP-OF-STRIP-CARS))
 (132 48 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (128 18 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (128 12 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (128 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 (127 127 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (126 126 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (122 54 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (108 18 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (104 104 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (104 104 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (104 104 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (104 16 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (104 16 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (104 16 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (90 90 (:REWRITE SUBSETP-MEMBER . 4))
 (90 90 (:REWRITE SUBSETP-MEMBER . 3))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 3))
 (90 90 (:REWRITE INTERSECTP-MEMBER . 2))
 (84 84 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (74 74 (:TYPE-PRESCRIPTION SET-EQUIV))
 (72 72 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (72 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (71 47 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (69 69 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (68 68 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (66 66 (:REWRITE SUBSETP-OF-CDR))
 (60 60 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (60 60 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (54 54 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (51 51 (:REWRITE SUBSETP-TRANS2))
 (51 51 (:REWRITE SUBSETP-TRANS))
 (50 4 (:REWRITE SUBSETP-OF-REMOVE2))
 (48 8 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (48 8 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (47 47 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (43 43 (:TYPE-PRESCRIPTION NULL))
 (43 43 (:DEFINITION NULL))
 (39 39 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (36 36 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (36 24 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (36 12 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (32 32 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (24 24 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (18 18 (:REWRITE MEMBER-OF-STRIP-CARS))
 (18 18 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (12 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (8 8 (:REWRITE SUBSETP-OF-REMOVE))
 (6 6 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 4 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(ABS-NO-DUPS-P-OF-CTX-APP
 (255165 6382 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (189188 58 (:DEFINITION ABS-NO-DUPS-P))
 (167218 734 (:DEFINITION MEMBER-EQUAL))
 (163620 2133 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (159101 1863 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (139591 459 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (116752 1815 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (95912 419 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (92994 2127 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (89664 147 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (74990 4891 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (72088 858 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (69271 2314 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (62311 768 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (57080 192 (:REWRITE REMOVE-WHEN-ABSENT))
 (50979 1208 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (46947 62 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (45497 27 (:REWRITE EQUAL-OF-ABS-FILE))
 (44149 29 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (43709 28 (:REWRITE SUBSETP-OF-REMOVE1))
 (41907 316 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (41396 64 (:DEFINITION REMOVE-EQUAL))
 (41394 116 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (40480 922 (:REWRITE SUBSETP-CAR-MEMBER))
 (36308 147 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (34801 1505 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (34582 1026 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (33956 357 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (33765 856 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (29685 3796 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (27282 130 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (27214 1156 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (23658 914 (:DEFINITION NATP))
 (21116 197 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (19476 116 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (18374 817 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (17772 822 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (16772 4 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (15968 52 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (15898 70 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (14408 58 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (14232 371 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (13913 2314 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (13214 59 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (13158 12762 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12419 57 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (12004 1390 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (12004 1390 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (11910 3360 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (11829 822 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (10956 1863 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (10645 10645 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (10300 4 (:REWRITE ABS-NO-DUPS-P-OF-CTX-APP-LEMMA-1))
 (9741 665 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (9708 822 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (9422 884 (:DEFINITION ASSOC-EQUAL))
 (9319 1351 (:REWRITE SUBSETP-MEMBER . 4))
 (9223 70 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
 (9056 2188 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8807 6382 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8115 70 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (7903 6 (:REWRITE CONSP-OF-APPEND))
 (7818 2606 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7670 2690 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (7670 2690 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6959 1032 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (6732 59 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (6540 1308 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (6163 5731 (:REWRITE DEFAULT-CAR))
 (5698 5698 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (5457 1030 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (4780 4477 (:REWRITE DEFAULT-CDR))
 (4697 4697 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4674 40 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (4372 4372 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4260 4260 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3995 3995 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3868 238 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (3738 1863 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (3590 2031 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3551 2031 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3538 3360 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3516 296 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2698 2146 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2644 256 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (2618 294 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (2520 1950 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2490 2490 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2490 2490 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2441 1 (:REWRITE ABS-FS-P-OF-APPEND))
 (2240 1334 (:REWRITE MEMBER-WHEN-ATOM))
 (2223 768 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2132 272 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2118 1059 (:REWRITE SET-EQUIV-ASYM))
 (2095 2095 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (2072 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (2058 2044 (:REWRITE SUBSETP-TRANS))
 (2054 2044 (:REWRITE SUBSETP-TRANS2))
 (1982 58 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1962 1962 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (1907 1907 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (1883 197 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (1815 1644 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1802 1578 (:REWRITE SUBSETP-MEMBER . 2))
 (1750 975 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1677 65 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1644 1644 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1644 1644 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1576 346 (:DEFINITION STRIP-CARS))
 (1463 292 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (1447 115 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1430 57 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1386 31 (:DEFINITION PUT-ASSOC-EQUAL))
 (1376 807 (:REWRITE CONSP-OF-STRIP-CARS))
 (1373 1373 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (1352 1352 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1351 1351 (:REWRITE INTERSECTP-MEMBER . 3))
 (1351 1351 (:REWRITE INTERSECTP-MEMBER . 2))
 (1308 1308 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1148 380 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (1116 822 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1107 30 (:REWRITE SUBSETP-OF-REMOVE2))
 (1032 1032 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (990 952 (:REWRITE DEFAULT-<-2))
 (984 984 (:REWRITE SUBSETP-OF-CDR))
 (952 952 (:REWRITE DEFAULT-<-1))
 (914 914 (:TYPE-PRESCRIPTION NATP))
 (853 853 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (846 196 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (846 196 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (846 196 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (840 8 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (824 824 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (727 23 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (714 64 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (690 198 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (614 1 (:REWRITE ABS-ADDRS-OF-APPEND))
 (588 5 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (564 1 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (563 86 (:REWRITE NFIX-WHEN-ZP))
 (561 561 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (561 561 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (557 25 (:DEFINITION BINARY-APPEND))
 (536 3 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (510 58 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (440 10 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (414 40 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (362 58 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (330 64 (:REWRITE ZP-OPEN))
 (325 160 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (320 320 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (316 8 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (312 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (292 292 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3))
 (288 16 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (285 86 (:REWRITE NFIX-WHEN-NATP))
 (272 272 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (268 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (232 232 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (232 232 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (230 230 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (201 201 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (196 196 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (196 196 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (179 50 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (174 174 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (172 172 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (172 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (164 164 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (140 5 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (139 40 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (135 27 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (132 32 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (129 129 (:TYPE-PRESCRIPTION ABS-FILE))
 (128 128 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (114 114 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (100 100 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (98 98 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (98 98 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (98 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (90 28 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (89 27 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (81 27 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (80 16 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (69 64 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (59 59 (:REWRITE MEMBER-OF-STRIP-CARS))
 (58 58 (:TYPE-PRESCRIPTION ATOM))
 (48 4 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (46 1 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY-LEMMA-1))
 (45 29 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (44 44 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (43 27 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (41 41 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (40 20 (:DEFINITION NULL))
 (40 4 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (40 4 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (40 4 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (28 28 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (27 27 (:TYPE-PRESCRIPTION D-E-P))
 (27 27 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (27 27 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (27 27 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (27 27 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (20 20 (:TYPE-PRESCRIPTION NULL))
 (20 4 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (19 19 (:REWRITE INTERSECTP-MEMBER . 1))
 (19 19 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (19 8 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (16 16 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (10 1 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (9 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 (8 8 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (8 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-5))
 (5 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (4 4 (:REWRITE ADDRS-AT-OF-APPEND-LEMMA-1))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(ABS-FS-P-OF-CTX-APP
 (542 11 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (480 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (461 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (368 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (286 1 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (267 3 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (210 2 (:DEFINITION MEMBER-EQUAL))
 (200 1 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (193 1 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (166 26 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (148 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (124 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (106 6 (:DEFINITION NATP))
 (102 36 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (98 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (94 4 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (90 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (83 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (82 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (79 1 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (74 8 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (72 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (68 68 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (66 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (66 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (56 56 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (44 44 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (40 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (40 4 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (36 36 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (36 14 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (36 14 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (29 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (29 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (25 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (25 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION NAMES-AT))
 (24 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (22 22 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (20 16 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (19 7 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (19 7 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (17 17 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (17 11 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION NAT-LISTP))
 (16 16 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (15 15 (:TYPE-PRESCRIPTION CTX-APP))
 (14 14 (:REWRITE SUBSETP-TRANS2))
 (14 14 (:REWRITE SUBSETP-TRANS))
 (13 3 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (13 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (11 11 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (10 10 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (10 10 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (10 4 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (10 3 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (9 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (8 8 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (7 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 1 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE MEMBER-WHEN-ATOM))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3 1 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3))
 (2 2 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 )
(STRIP-CARS-OF-CTX-APP
 (124440 3451 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (82010 232 (:DEFINITION MEMBER-EQUAL))
 (72637 1087 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (67210 3960 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (53557 1319 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (52886 1037 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (52837 445 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (51949 452 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (50806 1200 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (46205 50 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (45595 87 (:REWRITE REMOVE-WHEN-ABSENT))
 (45005 25 (:REWRITE EQUAL-OF-ABS-FILE))
 (44480 25 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (44202 496 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (40557 29 (:DEFINITION REMOVE-EQUAL))
 (28976 98 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (23546 1595 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (20434 23 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (19666 402 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (19511 459 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (17737 1232 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (16815 336 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (15908 196 (:REWRITE SUBSETP-CAR-MEMBER))
 (15678 1900 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (13044 314 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (11774 108 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (11042 1016 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (10350 38 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (8036 23 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (7834 6898 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (7828 2 (:REWRITE ABS-FS-P-OF-APPEND))
 (7594 1037 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (7447 1319 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7215 38 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
 (6431 445 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (6430 550 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6430 550 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6404 52 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (6149 1889 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5803 38 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (5797 283 (:DEFINITION NATP))
 (5598 1866 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5391 516 (:DEFINITION ASSOC-EQUAL))
 (5332 864 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4739 3451 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4530 133 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (4502 20 (:REWRITE SUBSETP-OF-REMOVE1))
 (4345 4345 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (4240 196 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (4224 1512 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4224 1512 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4055 471 (:REWRITE SUBSETP-MEMBER . 3))
 (3960 792 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3872 44 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (3816 6 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (3518 6 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (3444 465 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (3338 3338 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2996 92 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2966 2966 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (2724 2 (:REWRITE ABS-ADDRS-OF-APPEND))
 (2692 2692 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2692 2560 (:REWRITE DEFAULT-CAR))
 (2593 243 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2586 196 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2552 2552 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2530 4 (:REWRITE CONSP-OF-APPEND))
 (2316 196 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2196 2 (:REWRITE REMOVE-OF-STRIP-CARS-OF-REMOVE))
 (2126 2126 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (2105 1889 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2067 109 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (1987 1037 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1932 25 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-3))
 (1845 1761 (:REWRITE DEFAULT-CDR))
 (1724 1724 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1610 10 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1590 32 (:REWRITE SUBSETP-OF-REMOVE2))
 (1554 199 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1504 6 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1497 848 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1496 116 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (1425 848 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1356 1356 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1356 1356 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1302 445 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1294 14 (:REWRITE ABS-FS-P-OF-REMOVE))
 (1248 2 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (1233 1233 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (1100 25 (:DEFINITION PUT-ASSOC-EQUAL))
 (1082 1082 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (972 108 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (943 943 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (941 461 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (926 863 (:REWRITE SUBSETP-TRANS))
 (903 863 (:REWRITE SUBSETP-TRANS2))
 (848 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 (828 54 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-4))
 (812 26 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (804 2 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (792 792 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (792 792 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (780 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (778 670 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (722 452 (:REWRITE MEMBER-WHEN-ATOM))
 (718 10 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (624 160 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (560 2 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (556 278 (:REWRITE SET-EQUIV-ASYM))
 (536 56 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (511 471 (:REWRITE SUBSETP-MEMBER . 4))
 (490 490 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (483 483 (:REWRITE SUBSETP-MEMBER . 2))
 (471 471 (:REWRITE INTERSECTP-MEMBER . 3))
 (471 471 (:REWRITE INTERSECTP-MEMBER . 2))
 (465 465 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (460 30 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (438 438 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (425 335 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (410 392 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (392 392 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (392 392 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (344 344 (:TYPE-PRESCRIPTION SET-EQUIV))
 (324 306 (:REWRITE DEFAULT-<-2))
 (308 306 (:REWRITE DEFAULT-<-1))
 (294 42 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (283 283 (:TYPE-PRESCRIPTION NATP))
 (267 54 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (257 257 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (257 257 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (243 56 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (240 240 (:REWRITE SUBSETP-OF-CDR))
 (232 196 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (194 185 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (180 54 (:REWRITE ZP-OPEN))
 (162 18 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (150 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (148 148 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (140 140 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (136 20 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (132 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (127 127 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (108 24 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (108 24 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (108 24 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (104 104 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (100 100 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (96 42 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (95 95 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (95 95 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (91 91 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (90 90 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (88 4 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (75 75 (:TYPE-PRESCRIPTION ABS-FILE))
 (75 25 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (70 70 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (56 56 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (54 54 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3))
 (46 46 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (46 28 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (46 10 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (40 12 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 2))
 (38 16 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (36 36 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (30 20 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (25 25 (:TYPE-PRESCRIPTION D-E-P))
 (25 25 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (24 24 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (24 24 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (20 20 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (20 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-5))
 (20 4 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 1))
 (18 18 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (12 6 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (10 10 (:REWRITE MEMBER-OF-STRIP-CARS))
 (10 4 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (9 9 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (6 6 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (6 6 (:REWRITE ADDRS-AT-OF-APPEND-LEMMA-1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 1))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(NAMES-AT-OF-PUT-ASSOC
 (19030 189 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (18935 27 (:DEFINITION REMOVE-EQUAL))
 (18042 636 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (17534 123 (:DEFINITION MEMBER-EQUAL))
 (13309 345 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (10964 174 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (7993 220 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (6564 150 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (6559 168 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (6176 23 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (5785 23 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (5778 294 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (5001 23 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (4852 632 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (4812 1604 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4709 36 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (3842 110 (:DEFINITION PUT-ASSOC-EQUAL))
 (3507 433 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3507 433 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3418 41 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (3358 789 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3306 202 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (3194 2288 (:REWRITE DEFAULT-CAR))
 (2999 270 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2916 9 (:REWRITE EQUAL-OF-ABS-FILE))
 (2908 23 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (2893 147 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2665 2665 (:TYPE-PRESCRIPTION STRIP-CARS))
 (2664 270 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2504 12 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (2426 1338 (:REWRITE DEFAULT-CDR))
 (2328 294 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2192 1014 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2138 21 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (1941 123 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1736 224 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1654 1654 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1614 46 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1610 260 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (1581 28 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1571 1571 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1454 235 (:DEFINITION STRIP-CARS))
 (1416 472 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1416 472 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1352 46 (:DEFINITION NATP))
 (1272 1272 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1178 1046 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1174 1174 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1173 338 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1123 239 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1030 46 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1014 1014 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (909 636 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (807 294 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (752 752 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (745 46 (:REWRITE SUBSETP-CAR-MEMBER))
 (737 123 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (720 720 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (654 34 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (653 138 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (632 632 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (621 376 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (584 12 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (566 566 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (555 366 (:REWRITE CONSP-OF-STRIP-CARS))
 (555 23 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (552 46 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (541 86 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (534 34 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (500 4 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (486 23 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (472 472 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (472 472 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (442 200 (:REWRITE MEMBER-WHEN-ATOM))
 (420 92 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (420 92 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (420 92 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (411 61 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (371 371 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (354 23 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (350 45 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (259 259 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (248 46 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (246 246 (:REWRITE SUBSETP-MEMBER . 2))
 (246 246 (:REWRITE SUBSETP-MEMBER . 1))
 (241 241 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (239 239 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (239 239 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (230 230 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (225 15 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (216 23 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (213 213 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (210 31 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (202 46 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (200 200 (:REWRITE SUBSETP-MEMBER . 4))
 (200 200 (:REWRITE SUBSETP-MEMBER . 3))
 (200 200 (:REWRITE INTERSECTP-MEMBER . 3))
 (200 200 (:REWRITE INTERSECTP-MEMBER . 2))
 (170 92 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (138 138 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (117 69 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (115 115 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (101 23 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (98 98 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (98 98 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (92 92 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (92 92 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (92 92 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (92 92 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (92 92 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (92 46 (:REWRITE SET-EQUIV-ASYM))
 (86 86 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (75 75 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (72 72 (:TYPE-PRESCRIPTION ABS-FILE->D-E$INLINE))
 (68 68 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (68 8 (:DEFINITION BINARY-APPEND))
 (64 46 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (64 46 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (60 10 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (54 54 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (46 46 (:TYPE-PRESCRIPTION SET-EQUIV))
 (46 46 (:TYPE-PRESCRIPTION NATP))
 (46 46 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (46 46 (:REWRITE SUBSETP-OF-CDR))
 (46 46 (:REWRITE DEFAULT-<-2))
 (46 46 (:REWRITE DEFAULT-<-1))
 (42 21 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (40 16 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (34 34 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (33 33 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (32 23 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (27 9 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (24 24 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (23 23 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (23 23 (:REWRITE SUBSETP-TRANS2))
 (23 23 (:REWRITE SUBSETP-TRANS))
 (23 23 (:REWRITE MEMBER-OF-STRIP-CARS))
 (23 23 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (14 14 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (9 9 (:TYPE-PRESCRIPTION D-E-P))
 (9 9 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (7 7 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (4 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 )
(NAMES-AT-OF-CTX-APP
 (341599 2196 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (312324 294 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (307144 222 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL))
 (211271 6469 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (146835 2823 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (114622 1183 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (110107 5828 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (87289 1958 (:REWRITE ABSFAT-SUBSETP-OF-PUT-ASSOC-3))
 (75654 1958 (:REWRITE ABSFAT-SUBSETP-OF-PUT-ASSOC-1))
 (66720 22240 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (58875 4545 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (58819 4545 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (51726 7907 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (50789 3378 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (42425 942 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (36704 17737 (:REWRITE DEFAULT-CDR))
 (35475 7031 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (34925 351 (:DEFINITION PUT-ASSOC-EQUAL))
 (34466 3787 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (34287 430 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (27957 27930 (:REWRITE DEFAULT-CAR))
 (26258 169 (:DEFINITION PREFIXP))
 (24160 20300 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (21227 568 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (19210 18862 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (18840 1351 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (18559 10170 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (17230 1307 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (17066 4856 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (16702 294 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (16062 2098 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (15714 15714 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (15412 15412 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (14961 575 (:REWRITE SUBSETP-OF-REMOVE2))
 (12797 446 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12400 170 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (11938 332 (:REWRITE EQUAL-OF-ABS-FILE))
 (11745 116 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (11418 942 (:REWRITE SUBSETP-MEMBER . 4))
 (11085 1119 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (10701 116 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (10413 18 (:REWRITE CONSP-OF-NTHCDR))
 (10353 116 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (9744 3687 (:REWRITE ABSFAT-SUBSETP-OF-REMOVE-ASSOC-1))
 (9517 446 (:REWRITE LEN-WHEN-PREFIXP))
 (8945 1447 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (8468 780 (:REWRITE NFIX-WHEN-ZP))
 (8226 8226 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (7941 312 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (7656 180 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (7642 2791 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (7617 6476 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (7247 1351 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (7031 7031 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (7024 2365 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (6968 2797 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (6761 3045 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (6761 3045 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6669 583 (:REWRITE ZP-OPEN))
 (6604 451 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (6098 942 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (5561 1483 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (5529 836 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (5293 1722 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4622 4622 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4580 226 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (4545 20 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (4457 4457 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (4187 3238 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4160 430 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (4083 4083 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3872 1966 (:REWRITE DEFAULT-+-2))
 (3855 884 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3444 3444 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3346 3346 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3304 601 (:DEFINITION STRIP-CARS))
 (3270 66 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (3165 1351 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (3144 1483 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (3038 2830 (:REWRITE SUBSETP-TRANS2))
 (2956 4 (:REWRITE STRIP-CARS-OF-CTX-APP))
 (2880 2880 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (2860 2830 (:REWRITE SUBSETP-TRANS))
 (2841 2841 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2729 2729 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2600 1667 (:REWRITE DEFAULT-<-2))
 (2584 166 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (2411 555 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (2358 9 (:REWRITE CAR-OF-NTHCDR))
 (2345 2247 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2334 778 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2334 778 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2298 277 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (2265 755 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2230 2230 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (2143 240 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (2132 1667 (:REWRITE DEFAULT-<-1))
 (2068 771 (:REWRITE CONSP-OF-STRIP-CARS))
 (2002 606 (:DEFINITION NATP))
 (1972 1966 (:REWRITE DEFAULT-+-1))
 (1913 29 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1858 1858 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1858 1858 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1730 1730 (:LINEAR LEN-WHEN-PREFIXP))
 (1564 172 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (1484 942 (:REWRITE INTERSECTP-MEMBER . 3))
 (1444 1444 (:TYPE-PRESCRIPTION ABSFAT-EQUIV))
 (1429 430 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (1391 29 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (1331 1099 (:REWRITE SUBSETP-MEMBER . 2))
 (1205 180 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (996 332 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (942 942 (:REWRITE INTERSECTP-MEMBER . 2))
 (884 884 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (850 226 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (821 110 (:DEFINITION BINARY-APPEND))
 (797 797 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (778 778 (:LINEAR POSITION-WHEN-MEMBER))
 (778 778 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (648 36 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (614 614 (:TYPE-PRESCRIPTION NATP))
 (579 579 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (568 568 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (568 568 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (568 568 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (568 568 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (568 223 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (567 567 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (565 31 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (555 555 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (555 555 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (555 555 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (531 531 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (531 531 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (531 531 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (531 531 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (531 531 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (522 122 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (513 216 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (511 511 (:TYPE-PRESCRIPTION NULL))
 (485 485 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (451 451 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (451 451 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (446 446 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (444 222 (:REWRITE ABS-FILE->D-E-OF-ABS-FILE))
 (390 390 (:TYPE-PRESCRIPTION D-E-P))
 (385 277 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (352 32 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (342 72 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (332 332 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (330 330 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (330 330 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (330 330 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (310 310 (:REWRITE INTERSECTP-MEMBER . 1))
 (297 66 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 (268 248 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (235 71 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (234 6 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (232 232 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (232 232 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (226 226 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (222 222 (:REWRITE D-E-FIX-UNDER-D-E-EQUIV))
 (183 38 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (182 26 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (174 29 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (169 169 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (155 33 (:REWRITE ADDRS-AT-OF-APPEND-LEMMA-1))
 (145 29 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (135 54 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (135 3 (:DEFINITION LAST))
 (120 120 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (120 120 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (120 20 (:REWRITE CONSP-OF-APPEND))
 (112 112 (:TYPE-PRESCRIPTION ABS-FILE->D-E$INLINE))
 (108 108 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (108 18 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (96 96 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (87 29 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (85 85 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (81 27 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (72 5 (:REWRITE ABSFAT-SUBSETP-OF-APPEND-1))
 (58 58 (:TYPE-PRESCRIPTION STRING-LISTP))
 (58 58 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (58 58 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (58 29 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (54 54 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (45 6 (:REWRITE ABSFAT-SUBSETP-OF-REMOVE-1))
 (42 42 (:REWRITE NTH-WHEN-PREFIXP))
 (40 40 (:TYPE-PRESCRIPTION SET-EQUIV))
 (32 6 (:DEFINITION ATOM))
 (29 29 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (29 29 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (29 29 (:REWRITE SET::IN-SET))
 (18 18 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (11 11 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (9 2 (:REWRITE SET-EQUIV-OF-NIL))
 (6 6 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 )
(DIST-NAMES
 (30902 851 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (27902 192 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (24313 440 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (20610 440 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (18223 352 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (14271 328 (:REWRITE LEN-WHEN-PREFIXP))
 (7966 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (7232 328 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3929 1328 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3790 872 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (3310 3310 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2834 28 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2540 814 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2514 14 (:DEFINITION NTHCDR))
 (2410 1219 (:REWRITE DEFAULT-+-2))
 (1965 655 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1965 655 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1859 1838 (:REWRITE DEFAULT-CDR))
 (1708 42 (:REWRITE ZP-OPEN))
 (1702 50 (:REWRITE NFIX-WHEN-ZP))
 (1346 1346 (:LINEAR LEN-WHEN-PREFIXP))
 (1264 79 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1219 1219 (:REWRITE DEFAULT-+-1))
 (1211 244 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1035 345 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (931 814 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (851 39 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (822 426 (:REWRITE DEFAULT-<-2))
 (814 790 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (812 28 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (757 426 (:REWRITE DEFAULT-<-1))
 (689 68 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (660 574 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (660 574 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (658 658 (:REWRITE SUBSETP-TRANS2))
 (658 658 (:REWRITE SUBSETP-TRANS))
 (655 655 (:LINEAR POSITION-WHEN-MEMBER))
 (655 655 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (635 635 (:REWRITE DEFAULT-CAR))
 (556 433 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (538 433 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (538 44 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (470 20 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (440 440 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (440 440 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (440 440 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (440 440 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (347 21 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (340 20 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (325 292 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (246 39 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (214 214 (:REWRITE SUBSETP-OF-CDR))
 (156 78 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (145 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (143 143 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (136 136 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (131 131 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (131 131 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (116 22 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (115 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (112 21 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (102 102 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (98 28 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (97 97 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (94 55 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (90 10 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (84 28 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (80 10 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (79 55 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (75 50 (:REWRITE NFIX-WHEN-NATP))
 (73 37 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (70 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (70 5 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (68 68 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (68 34 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (56 56 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (56 28 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (42 14 (:REWRITE COMMUTATIVITY-OF-+))
 (40 40 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (40 5 (:DEFINITION MEMBER-EQUAL))
 (39 39 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (37 37 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (30 15 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (30 10 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (28 28 (:TYPE-PRESCRIPTION ZP))
 (28 28 (:TYPE-PRESCRIPTION STRING-LISTP))
 (28 28 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (28 28 (:TYPE-PRESCRIPTION D-E-P))
 (28 28 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (28 28 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (28 14 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (25 25 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (21 21 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (20 20 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (15 15 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (15 15 (:REWRITE CONSP-OF-LIST-FIX))
 (15 5 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (14 14 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (14 14 (:REWRITE SET::IN-SET))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 1))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (10 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (10 5 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (10 5 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 )
(DIST-NAMES-OF-FAT32-FILENAME-LIST-FIX
 (36685 401 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (34251 437 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (33746 52 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (23403 353 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (19287 373 (:REWRITE LEN-WHEN-PREFIXP))
 (14610 806 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (13702 2003 (:DEFINITION LEN))
 (10098 1902 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5188 26 (:DEFINITION NTHCDR))
 (4436 168 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (4326 4326 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4058 2055 (:REWRITE DEFAULT-+-2))
 (3158 72 (:REWRITE ZP-OPEN))
 (3106 70 (:REWRITE NFIX-WHEN-ZP))
 (2811 937 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2811 937 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2807 2765 (:REWRITE DEFAULT-CDR))
 (2758 189 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2528 52 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2436 140 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2055 2055 (:REWRITE DEFAULT-+-1))
 (1940 150 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1930 1930 (:LINEAR LEN-WHEN-PREFIXP))
 (1869 329 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1666 98 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1622 810 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1358 189 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1262 854 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (942 497 (:REWRITE DEFAULT-<-2))
 (937 937 (:LINEAR POSITION-WHEN-MEMBER))
 (937 937 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (912 182 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (890 46 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (867 289 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (836 497 (:REWRITE DEFAULT-<-1))
 (724 724 (:REWRITE DEFAULT-CAR))
 (696 423 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (696 423 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (661 150 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (658 658 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (658 658 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (658 658 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (652 652 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (629 134 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (593 168 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (544 132 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (530 383 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (508 168 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (437 437 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (437 437 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (437 437 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (437 437 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (392 49 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (380 132 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (380 132 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (338 168 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (336 336 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (329 329 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (291 291 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (280 280 (:TYPE-PRESCRIPTION ABS-FS-P))
 (264 264 (:TYPE-PRESCRIPTION NAMES-AT))
 (230 98 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (198 96 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (189 189 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (186 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (182 182 (:REWRITE SUBSETP-TRANS2))
 (182 182 (:REWRITE SUBSETP-TRANS))
 (176 98 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (170 170 (:TYPE-PRESCRIPTION STRING-LISTP))
 (170 170 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (170 170 (:TYPE-PRESCRIPTION D-E-P))
 (170 170 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (170 85 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (168 168 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (162 6 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (150 150 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (100 70 (:REWRITE NFIX-WHEN-NATP))
 (97 97 (:REWRITE CONSP-OF-LIST-FIX))
 (88 88 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (88 42 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (86 40 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (85 85 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (85 85 (:REWRITE SET::IN-SET))
 (80 80 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (78 26 (:REWRITE COMMUTATIVITY-OF-+))
 (60 46 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (54 40 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (46 46 (:TYPE-PRESCRIPTION ZP))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (42 42 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (40 40 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (40 40 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (40 40 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (26 26 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (26 26 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 1))
 (12 12 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (6 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(DIST-NAMES-OF-ABS-FS-FIX
 (58147 657 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (57389 669 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (53830 68 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (37931 585 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (33625 617 (:REWRITE LEN-WHEN-PREFIXP))
 (25668 1358 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (22504 3283 (:DEFINITION LEN))
 (17234 3092 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7122 34 (:DEFINITION NTHCDR))
 (7030 7030 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6634 3351 (:REWRITE DEFAULT-+-2))
 (6622 254 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (4988 100 (:REWRITE ZP-OPEN))
 (4946 100 (:REWRITE NFIX-WHEN-ZP))
 (4645 4591 (:REWRITE DEFAULT-CDR))
 (4569 1523 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4569 1523 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4044 288 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3732 215 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (3648 68 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (3351 3351 (:REWRITE DEFAULT-+-1))
 (3138 3138 (:LINEAR LEN-WHEN-PREFIXP))
 (2950 226 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2847 488 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2482 146 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2478 1246 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2102 1412 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1996 288 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1523 1523 (:LINEAR POSITION-WHEN-MEMBER))
 (1523 1523 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1498 783 (:REWRITE DEFAULT-<-2))
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 (1407 469 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1348 783 (:REWRITE DEFAULT-<-1))
 (1200 1200 (:REWRITE DEFAULT-CAR))
 (1114 649 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1114 649 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1039 208 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1003 226 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (980 980 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (976 976 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (976 976 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (976 976 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (889 254 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (838 196 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (814 589 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (762 254 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (669 669 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (669 669 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (669 669 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (669 669 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (598 210 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (598 210 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (584 73 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (508 508 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (508 254 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (505 505 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (488 488 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (441 441 (:TYPE-PRESCRIPTION ABS-FS-P))
 (420 420 (:TYPE-PRESCRIPTION NAMES-AT))
 (342 138 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (288 288 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (282 282 (:REWRITE SUBSETP-TRANS2))
 (282 282 (:REWRITE SUBSETP-TRANS))
 (254 254 (:TYPE-PRESCRIPTION STRING-LISTP))
 (254 254 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (254 254 (:TYPE-PRESCRIPTION D-E-P))
 (254 254 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (254 254 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (254 127 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (252 138 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (246 132 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (226 226 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (209 11 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (170 30 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (154 62 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (148 100 (:REWRITE NFIX-WHEN-NATP))
 (147 147 (:REWRITE CONSP-OF-LIST-FIX))
 (140 140 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (127 127 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (127 127 (:REWRITE SET::IN-SET))
 (122 122 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (106 60 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (102 34 (:REWRITE COMMUTATIVITY-OF-+))
 (92 64 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (84 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (74 60 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (68 4 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (66 66 (:TYPE-PRESCRIPTION ZP))
 (62 62 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (62 62 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (62 62 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (60 60 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (60 60 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (60 60 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (34 34 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (34 34 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (30 30 (:REWRITE INTERSECTP-MEMBER . 1))
 (8 8 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (4 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(FAT32-FILENAME-LIST-EQUIV-IMPLIES-EQUAL-DIST-NAMES-2
 (12 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(DIST-NAMES-OF-REMOVE-ASSOC-1
 (125061 1330 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (114657 1262 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (108153 1270 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (96046 120 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (70885 1198 (:REWRITE LEN-WHEN-PREFIXP))
 (70433 1138 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (48690 2616 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (39904 5866 (:DEFINITION LEN))
 (29852 5738 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16446 444 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (13300 488 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (13232 13232 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12796 60 (:DEFINITION NTHCDR))
 (11852 5986 (:REWRITE DEFAULT-+-2))
 (9106 180 (:REWRITE ZP-OPEN))
 (9046 180 (:REWRITE NFIX-WHEN-ZP))
 (8875 8777 (:REWRITE DEFAULT-CDR))
 (8628 152 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (8532 1806 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (8489 683 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (8478 2826 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (8478 2826 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (7382 443 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6846 120 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (6652 304 (:REWRITE SUBSETP-CAR-MEMBER))
 (6279 1083 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5986 5986 (:REWRITE DEFAULT-+-1))
 (5824 5824 (:LINEAR LEN-WHEN-PREFIXP))
 (5722 428 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
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 (4606 2506 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4295 640 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4170 356 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3876 2682 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3756 3756 (:TYPE-PRESCRIPTION PREFIXP))
 (3470 3464 (:REWRITE DEFAULT-CAR))
 (2892 964 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
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 (2826 2826 (:LINEAR POSITION-WHEN-MEMBER))
 (2826 2826 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (1926 208 (:DEFINITION ASSOC-EQUAL))
 (1832 1832 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (1722 368 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1708 488 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1655 1193 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1652 595 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1490 1490 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1476 57 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (1464 488 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1396 720 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1396 720 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1270 1270 (:REWRITE PREFIXP-TRANSITIVE . 2))
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 (1270 1270 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1232 154 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1083 1083 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (976 976 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (976 488 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (932 932 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (842 842 (:REWRITE SUBSETP-TRANS2))
 (842 842 (:REWRITE SUBSETP-TRANS))
 (817 43 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (760 760 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (744 744 (:TYPE-PRESCRIPTION NAMES-AT))
 (714 714 (:TYPE-PRESCRIPTION ZP))
 (640 640 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (608 304 (:REWRITE SET-EQUIV-ASYM))
 (602 43 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (602 43 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (578 218 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (520 16 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (488 488 (:TYPE-PRESCRIPTION STRING-LISTP))
 (488 488 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (488 488 (:TYPE-PRESCRIPTION D-E-P))
 (488 488 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (488 488 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (488 244 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (473 43 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (428 428 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (398 218 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (326 212 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (304 304 (:TYPE-PRESCRIPTION SET-EQUIV))
 (304 304 (:REWRITE SUBSETP-OF-CDR))
 (304 304 (:REWRITE SUBSETP-MEMBER . 2))
 (304 304 (:REWRITE SUBSETP-MEMBER . 1))
 (301 43 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (274 274 (:REWRITE CONSP-OF-LIST-FIX))
 (272 57 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (270 180 (:REWRITE NFIX-WHEN-NATP))
 (258 43 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (256 256 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (248 248 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (244 244 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (244 244 (:REWRITE SET::IN-SET))
 (210 210 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (204 112 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (204 34 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (196 196 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (196 196 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (189 189 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (180 180 (:TYPE-PRESCRIPTION NFIX))
 (180 60 (:REWRITE COMMUTATIVITY-OF-+))
 (144 116 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (112 112 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (112 112 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (112 112 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (112 112 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (112 112 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (112 112 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (112 112 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (112 112 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (112 112 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (86 86 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (86 86 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (86 86 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (86 86 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (86 43 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (60 60 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (56 56 (:REWRITE INTERSECTP-MEMBER . 1))
 (43 43 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 )
(DIST-NAMES-OF-REMOVE-ASSOC-2
 (304 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (255 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (99 33 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (88 11 (:DEFINITION ASSOC-EQUAL))
 (72 33 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (45 45 (:REWRITE DEFAULT-CAR))
 (33 33 (:TYPE-PRESCRIPTION ZP))
 (33 33 (:TYPE-PRESCRIPTION LEN))
 (33 33 (:TYPE-PRESCRIPTION FRAME-P))
 (30 30 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (19 19 (:REWRITE DEFAULT-CDR))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (11 1 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (3 1 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1 1 (:DEFINITION NULL))
 )
(DIST-NAMES-OF-PUT-ASSOC-EQUAL
 (625518 6118 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (559334 6225 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (389347 5820 (:REWRITE LEN-WHEN-PREFIXP))
 (341554 13602 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (225246 33426 (:DEFINITION LEN))
 (210353 45 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-1))
 (68232 68232 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (67410 33984 (:REWRITE DEFAULT-+-2))
 (63168 2344 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (59653 279 (:DEFINITION NTHCDR))
 (48096 46877 (:REWRITE DEFAULT-CDR))
 (46332 3407 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (44604 14868 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (44604 14868 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (42733 840 (:REWRITE ZP-OPEN))
 (42471 845 (:REWRITE NFIX-WHEN-ZP))
 (40760 2312 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (38288 5456 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (35135 2052 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (33984 33984 (:REWRITE DEFAULT-+-1))
 (31103 558 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (30516 30516 (:LINEAR LEN-WHEN-PREFIXP))
 (28785 1761 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (25276 11525 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (22363 2114 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (21609 3232 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (20016 13908 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (19507 3818 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (15681 149 (:DEFINITION MEMBER-EQUAL))
 (14868 14868 (:LINEAR POSITION-WHEN-MEMBER))
 (14868 14868 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (14815 138 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (13891 13456 (:REWRITE DEFAULT-CAR))
 (13716 7137 (:REWRITE DEFAULT-<-2))
 (13140 4380 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (12966 953 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (12512 511 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (12452 7137 (:REWRITE DEFAULT-<-1))
 (11797 138 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10912 10912 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10359 31 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (10296 6024 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (10149 6024 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9297 2052 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (9027 9027 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (8274 2344 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (8096 31 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (8001 1739 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (7758 5478 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (7088 2344 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6819 298 (:REWRITE SUBSETP-CAR-MEMBER))
 (6734 2700 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (6620 2700 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (6225 6225 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6225 6225 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6225 6225 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6225 6225 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (5963 5456 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5610 181 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (4873 64 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (4716 2344 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (4688 4688 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4520 124 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (4359 279 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3754 137 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (3738 3738 (:TYPE-PRESCRIPTION NAMES-AT))
 (3341 3341 (:REWRITE SUBSETP-TRANS2))
 (3341 3341 (:REWRITE SUBSETP-TRANS))
 (3232 3232 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2642 1052 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2639 881 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2521 50 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2520 313 (:DEFINITION ASSOC-EQUAL))
 (2372 2372 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2372 2372 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2372 2372 (:TYPE-PRESCRIPTION D-E-P))
 (2372 2372 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2372 1186 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2344 2344 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2066 1052 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2052 2052 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1936 881 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1655 1025 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1599 1599 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1464 1464 (:REWRITE CONSP-OF-LIST-FIX))
 (1440 1440 (:TYPE-PRESCRIPTION ZP))
 (1395 27 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1310 505 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1246 1246 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (1214 76 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1186 1186 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1186 1186 (:REWRITE SET::IN-SET))
 (980 31 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (945 175 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (867 499 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (844 144 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (837 279 (:REWRITE COMMUTATIVITY-OF-+))
 (776 276 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (758 76 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (616 56 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (582 36 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (576 576 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (576 576 (:REWRITE CONSP-OF-STRIP-CARS))
 (505 505 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (505 505 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (505 505 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (499 499 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (499 499 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (499 499 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (448 56 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (438 138 (:REWRITE MEMBER-WHEN-ATOM))
 (386 386 (:TYPE-PRESCRIPTION NATP))
 (348 174 (:REWRITE SET-EQUIV-ASYM))
 (310 310 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (298 298 (:REWRITE SUBSETP-MEMBER . 2))
 (298 298 (:REWRITE SUBSETP-MEMBER . 1))
 (289 289 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (289 289 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (282 282 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (276 276 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (271 271 (:REWRITE INTERSECTP-MEMBER . 1))
 (248 248 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (191 36 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (186 31 (:REWRITE MEMBER-OF-STRIP-CARS))
 (174 174 (:TYPE-PRESCRIPTION SET-EQUIV))
 (174 174 (:REWRITE SUBSETP-OF-CDR))
 (158 158 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (138 138 (:REWRITE SUBSETP-MEMBER . 4))
 (138 138 (:REWRITE SUBSETP-MEMBER . 3))
 (138 138 (:REWRITE INTERSECTP-MEMBER . 3))
 (138 138 (:REWRITE INTERSECTP-MEMBER . 2))
 (138 138 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (72 72 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (72 72 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (67 36 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (63 32 (:DEFINITION NULL))
 (62 62 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (52 7 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (40 5 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (32 32 (:TYPE-PRESCRIPTION NULL))
 (20 20 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (20 5 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (5 5 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 )
(ABSFAT-EQUIV-IMPLIES-EQUAL-DIST-NAMES-1
 (58147 657 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (57389 669 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (53830 68 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (37931 585 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (33625 617 (:REWRITE LEN-WHEN-PREFIXP))
 (25668 1358 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (22504 3283 (:DEFINITION LEN))
 (17234 3092 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7122 34 (:DEFINITION NTHCDR))
 (7030 7030 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6634 3351 (:REWRITE DEFAULT-+-2))
 (6622 254 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (4988 100 (:REWRITE ZP-OPEN))
 (4946 100 (:REWRITE NFIX-WHEN-ZP))
 (4645 4591 (:REWRITE DEFAULT-CDR))
 (4569 1523 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4569 1523 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4469 545 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4166 325 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3860 236 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (3648 68 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (3351 3351 (:REWRITE DEFAULT-+-1))
 (3138 3138 (:LINEAR LEN-WHEN-PREFIXP))
 (2950 226 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2482 146 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2478 1246 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2142 325 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2102 1412 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1523 1523 (:LINEAR POSITION-WHEN-MEMBER))
 (1523 1523 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1498 783 (:REWRITE DEFAULT-<-2))
 (1448 64 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (1428 282 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1407 469 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1348 783 (:REWRITE DEFAULT-<-1))
 (1200 1200 (:REWRITE DEFAULT-CAR))
 (1114 649 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1114 649 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1090 1090 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1090 1074 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1074 1074 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1039 208 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1024 8 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (1024 8 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (1003 226 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (980 980 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (889 254 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (838 196 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (814 589 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (762 254 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (704 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (669 669 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (669 669 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (669 669 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (669 669 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (598 210 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (598 210 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (593 545 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (584 73 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (508 508 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (508 254 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (505 505 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (496 16 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (488 488 (:TYPE-PRESCRIPTION ABS-FS-P))
 (420 420 (:TYPE-PRESCRIPTION NAMES-AT))
 (342 138 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (336 16 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (325 325 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (304 16 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (282 282 (:REWRITE SUBSETP-TRANS2))
 (282 282 (:REWRITE SUBSETP-TRANS))
 (272 272 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (272 16 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (254 254 (:TYPE-PRESCRIPTION STRING-LISTP))
 (254 254 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (254 254 (:TYPE-PRESCRIPTION D-E-P))
 (254 254 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (254 254 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (254 127 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (252 138 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (246 132 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (226 226 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (208 32 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (176 48 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (170 30 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (160 32 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (154 62 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (148 100 (:REWRITE NFIX-WHEN-NATP))
 (147 147 (:REWRITE CONSP-OF-LIST-FIX))
 (144 32 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (140 140 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (128 16 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (127 127 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (127 127 (:REWRITE SET::IN-SET))
 (124 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (122 122 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (108 4 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (106 60 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (102 34 (:REWRITE COMMUTATIVITY-OF-+))
 (96 32 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (96 32 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (92 64 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (74 60 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (66 66 (:TYPE-PRESCRIPTION ZP))
 (64 64 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (62 62 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (62 62 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (62 62 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (60 60 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (60 60 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (60 60 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (48 48 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (48 16 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (48 16 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (48 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (34 34 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (34 34 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (32 32 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (32 32 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (32 32 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (32 32 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (32 32 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (32 32 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (32 32 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (32 32 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (32 16 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (30 30 (:REWRITE INTERSECTP-MEMBER . 1))
 (16 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (16 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (16 16 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (8 8 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (4 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(DIST-NAMES-OF-TRUE-LIST-FIX
 (81288 963 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (80091 1010 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (49239 865 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (48627 903 (:REWRITE LEN-WHEN-PREFIXP))
 (31573 1962 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (22935 4352 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (13917 490 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (10066 10066 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (9586 49 (:DEFINITION NTHCDR))
 (9402 4750 (:REWRITE DEFAULT-+-2))
 (8843 589 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (7939 415 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6919 151 (:REWRITE ZP-OPEN))
 (6897 162 (:REWRITE NFIX-WHEN-ZP))
 (6426 2142 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6426 2142 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6244 999 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (6157 389 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (5831 356 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (5208 98 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (4750 4750 (:REWRITE DEFAULT-+-1))
 (4420 4420 (:LINEAR LEN-WHEN-PREFIXP))
 (4078 589 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3444 1946 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (3056 2042 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2247 749 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2230 1164 (:REWRITE DEFAULT-<-2))
 (2206 418 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2142 2142 (:LINEAR POSITION-WHEN-MEMBER))
 (2142 2142 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2008 2008 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2008 2008 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1998 1998 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1996 1164 (:REWRITE DEFAULT-<-1))
 (1971 389 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1718 1717 (:REWRITE DEFAULT-CAR))
 (1715 490 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1642 967 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1627 967 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1602 325 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1470 490 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1370 187 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1366 322 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1316 932 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1010 1010 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1010 1010 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1010 1010 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1010 1010 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (999 999 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (980 980 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (980 490 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (955 329 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (948 328 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (830 830 (:TYPE-PRESCRIPTION ABS-FS-P))
 (736 736 (:TYPE-PRESCRIPTION NAMES-AT))
 (715 715 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (589 589 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (507 207 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (490 490 (:TYPE-PRESCRIPTION STRING-LISTP))
 (490 490 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (490 490 (:TYPE-PRESCRIPTION D-E-P))
 (490 490 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (490 490 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (490 245 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (418 418 (:REWRITE SUBSETP-TRANS2))
 (418 418 (:REWRITE SUBSETP-TRANS))
 (389 389 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (375 207 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (279 90 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (245 245 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (245 245 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (245 245 (:REWRITE SET::IN-SET))
 (226 22 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (216 36 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (208 93 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (172 172 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (162 6 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (147 49 (:REWRITE COMMUTATIVITY-OF-+))
 (102 102 (:TYPE-PRESCRIPTION ZP))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (90 90 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (58 58 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (54 54 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (47 47 (:REWRITE INTERSECTP-MEMBER . 1))
 (28 28 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (14 14 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(LIST-EQUIV-IMPLIES-EQUAL-DIST-NAMES-3
 (45 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (28 2 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (24 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (12 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (9 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (9 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (7 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5 1 (:DEFINITION LEN))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(DIST-NAMES-OF-CTX-APP-LEMMA-2
 (1466 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (644 10 (:DEFINITION MEMBER-EQUAL))
 (534 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (530 2 (:DEFINITION REMOVE-EQUAL))
 (500 2 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (482 12 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (432 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (366 14 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (316 20 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (282 16 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (232 16 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (220 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (218 218 (:TYPE-PRESCRIPTION STRIP-CARS))
 (194 14 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (138 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (116 4 (:DEFINITION NATP))
 (110 110 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (90 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (88 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (80 18 (:DEFINITION STRIP-CARS))
 (70 52 (:REWRITE DEFAULT-CAR))
 (64 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (64 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (56 12 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (54 42 (:REWRITE DEFAULT-CDR))
 (52 52 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (50 50 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (50 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (48 30 (:REWRITE CONSP-OF-STRIP-CARS))
 (48 26 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (48 4 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (44 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (42 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (40 40 (:TYPE-PRESCRIPTION ABS-FS-P))
 (40 40 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (40 16 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (38 16 (:REWRITE MEMBER-WHEN-ATOM))
 (36 34 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (36 8 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (36 8 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (36 8 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (34 34 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (34 16 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (34 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (30 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (30 1 (:REWRITE NFIX-WHEN-ZP))
 (26 20 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (26 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (26 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (26 1 (:REWRITE ZP-OPEN))
 (24 2 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (22 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (20 20 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (20 20 (:REWRITE SUBSETP-MEMBER . 2))
 (20 20 (:REWRITE SUBSETP-MEMBER . 1))
 (20 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (20 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION NAT-LISTP))
 (16 16 (:REWRITE SUBSETP-MEMBER . 4))
 (16 16 (:REWRITE SUBSETP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 2))
 (16 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (16 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (16 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (14 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (12 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (12 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (11 2 (:DEFINITION LEN))
 (10 10 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 6 (:REWRITE DEFAULT-<-2))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 4 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (8 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (7 1 (:DEFINITION NOT))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (6 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 2 (:REWRITE DEFAULT-+-2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (2 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (2 2 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(DIST-NAMES-OF-CTX-APP-LEMMA-3
 (1075 2 (:REWRITE PREFIXP-OF-APPEND-ARG1))
 (523 10 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (510 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (465 81 (:DEFINITION LEN))
 (342 69 (:LINEAR LEN-WHEN-PREFIXP))
 (332 4 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (285 7 (:REWRITE LEN-WHEN-PREFIXP))
 (275 4 (:REWRITE ZP-OPEN))
 (249 7 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (214 4 (:REWRITE NFIX-WHEN-ZP))
 (207 1 (:REWRITE TAKE-OF-TOO-MANY))
 (184 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (170 85 (:REWRITE DEFAULT-+-2))
 (155 4 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (142 142 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (136 4 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (114 15 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (99 33 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (99 33 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (97 97 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (93 93 (:REWRITE DEFAULT-CDR))
 (89 85 (:REWRITE DEFAULT-+-1))
 (86 1 (:REWRITE TAKE-OF-LEN-FREE))
 (84 6 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (81 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (80 1 (:REWRITE REPEAT-WHEN-ZP))
 (66 66 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (51 22 (:REWRITE DEFAULT-<-2))
 (51 7 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (47 2 (:REWRITE TAKE-WHEN-PREFIXP))
 (36 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (34 22 (:REWRITE DEFAULT-<-1))
 (34 7 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (33 33 (:LINEAR POSITION-WHEN-MEMBER))
 (33 33 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (28 15 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (27 27 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (27 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (27 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (25 4 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (21 6 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (19 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (19 1 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (18 6 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (18 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (17 17 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (17 17 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (16 9 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (16 6 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (15 15 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (15 9 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (15 9 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (15 1 (:REWRITE LEN-OF-APPEND))
 (14 14 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (13 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (13 7 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (13 7 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12 12 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE DEFAULT-CAR))
 (12 9 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (12 6 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (11 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (11 2 (:DEFINITION BINARY-APPEND))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8 4 (:REWRITE NFIX-WHEN-NATP))
 (7 7 (:REWRITE SUBSETP-TRANS2))
 (7 7 (:REWRITE SUBSETP-TRANS))
 (7 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION STRING-LISTP))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 6 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (5 5 (:REWRITE CONSP-OF-LIST-FIX))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:TYPE-PRESCRIPTION REPEAT))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (4 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (3 3 (:TYPE-PRESCRIPTION NFIX))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (3 3 (:REWRITE SET::IN-SET))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (1 1 (:REWRITE CONSP-OF-APPEND))
 )
(DIST-NAMES-OF-CTX-APP-LEMMA-4
 (43258 522 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (39270 72 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (36115 501 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (31708 2234 (:DEFINITION LEN))
 (22883 576 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (17755 425 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14304 2687 (:REWRITE DEFAULT-CDR))
 (8488 2489 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7892 502 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (7085 249 (:REWRITE NFIX-WHEN-ZP))
 (5864 1089 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (5752 5752 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5752 2558 (:LINEAR LEN-WHEN-PREFIXP))
 (5656 520 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (4626 2345 (:REWRITE DEFAULT-+-2))
 (4432 313 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (3985 3 (:REWRITE PREFIXP-OF-APPEND-ARG2))
 (3930 181 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (3761 240 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3648 1216 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3648 1216 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3605 132 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3396 20 (:REWRITE TAKE-OF-TOO-MANY))
 (3134 24 (:DEFINITION NTHCDR))
 (3046 49 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2934 162 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (2834 12 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (2405 983 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2405 983 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2392 2345 (:REWRITE DEFAULT-+-1))
 (2141 19 (:REWRITE LEN-OF-NTHCDR))
 (1702 479 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1570 20 (:REWRITE TAKE-OF-LEN-FREE))
 (1533 112 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1518 479 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1484 772 (:REWRITE DEFAULT-<-2))
 (1397 501 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1332 444 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1268 95 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1216 1216 (:LINEAR POSITION-WHEN-MEMBER))
 (1216 1216 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1201 772 (:REWRITE DEFAULT-<-1))
 (1089 1089 (:REWRITE SUBSETP-TRANS2))
 (1089 1089 (:REWRITE SUBSETP-TRANS))
 (992 4 (:REWRITE DIST-NAMES-OF-CTX-APP-LEMMA-3))
 (939 411 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (921 204 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (879 111 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (741 181 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (636 6 (:DEFINITION NTH))
 (561 161 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (486 162 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (442 19 (:DEFINITION NATP))
 (427 409 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (427 406 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (409 409 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (408 24 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (384 351 (:REWRITE DEFAULT-CAR))
 (348 348 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (331 162 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (262 150 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (260 63 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (255 255 (:REWRITE CONSP-OF-LIST-FIX))
 (216 150 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (214 204 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (191 191 (:TYPE-PRESCRIPTION ABS-FS-P))
 (186 6 (:REWRITE NTH-WHEN-PREFIXP))
 (181 181 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (167 43 (:REWRITE COMMUTATIVITY-OF-+))
 (164 164 (:TYPE-PRESCRIPTION STRING-LISTP))
 (162 162 (:TYPE-PRESCRIPTION D-E-P))
 (162 162 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (161 161 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (160 160 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (160 80 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (120 1 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (112 112 (:TYPE-PRESCRIPTION ZP))
 (111 111 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (96 12 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (91 3 (:REWRITE CONSP-OF-TAKE))
 (80 80 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (80 80 (:REWRITE SET::IN-SET))
 (79 79 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (75 5 (:REWRITE LEN-OF-APPEND))
 (67 7 (:DEFINITION BINARY-APPEND))
 (65 65 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (43 1 (:REWRITE ABS-FILE-ALIST-P-OF-APPEND))
 (38 19 (:REWRITE DEFAULT-UNARY-MINUS))
 (36 36 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (27 27 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
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 )
(DIST-NAMES-OF-CTX-APP
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 )
(ABS-SEPARATE
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 )
(ABS-SEPARATE-OF-REMOVE-ASSOC
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 (24 24 (:REWRITE DEFAULT-<-2))
 (24 24 (:REWRITE DEFAULT-<-1))
 (24 12 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (24 12 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (21 9 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (21 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (18 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (18 3 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (15 15 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (15 15 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (15 15 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (14 14 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (12 12 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(ABS-SEPARATE-OF-PUT-ASSOC
 (329506 1152 (:REWRITE REMOVE-WHEN-ABSENT))
 (326154 5030 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (220033 4444 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (210736 920 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (208836 30500 (:DEFINITION LEN))
 (205424 2511 (:DEFINITION MEMBER-EQUAL))
 (192313 26 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-1))
 (190652 736 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (178632 4528 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (169953 4444 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (157940 1546 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (151952 2878 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (150440 368 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (149786 562 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (147724 384 (:DEFINITION REMOVE-EQUAL))
 (139266 498 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (131348 14 (:REWRITE ABS-SEPARATE-OF-REMOVE-ASSOC))
 (121341 3190 (:REWRITE LEN-WHEN-PREFIXP))
 (115866 368 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (112392 184 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (101889 4104 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (98935 184 (:REWRITE CAR-OF-NTHCDR))
 (95071 368 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (82219 10758 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (79750 57267 (:REWRITE DEFAULT-CDR))
 (73303 2754 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (69856 2400 (:REWRITE NFIX-WHEN-ZP))
 (67800 1480 (:REWRITE ZP-OPEN))
 (61552 31052 (:REWRITE DEFAULT-+-2))
 (56200 370 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (50827 2469 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (50644 6556 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (47484 368 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (46944 1142 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (46113 3190 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (44942 414 (:REWRITE SUBSETP-OF-REMOVE1))
 (44014 44014 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (39391 34716 (:REWRITE DEFAULT-CAR))
 (35552 184 (:DEFINITION NTHCDR))
 (34265 1730 (:REWRITE SUBSETP-CAR-MEMBER))
 (32474 10826 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (32289 3859 (:DEFINITION ASSOC-EQUAL))
 (31052 31052 (:REWRITE DEFAULT-+-1))
 (30448 368 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (30284 1036 (:DEFINITION NATP))
 (30189 10063 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30189 10063 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (28772 368 (:REWRITE CONSP-OF-NTHCDR))
 (28608 3720 (:REWRITE SUBSETP-MEMBER . 4))
 (25548 532 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (24094 430 (:REWRITE SUBSETP-OF-REMOVE2))
 (23032 1036 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (22912 184 (:DEFINITION NTH))
 (22882 995 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (22316 1898 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (22126 22126 (:LINEAR LEN-WHEN-PREFIXP))
 (21924 184 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (21511 1146 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (19176 368 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (17452 1334 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (16915 1155 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (15610 5186 (:REWRITE SUBSETP-MEMBER . 2))
 (15418 520 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (15336 14280 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (13737 622 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (12968 7370 (:REWRITE DEFAULT-<-2))
 (12888 7864 (:REWRITE CONSP-OF-STRIP-CARS))
 (12816 12816 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (12552 1036 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (12004 7140 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (11936 11936 (:TYPE-PRESCRIPTION ZP))
 (11933 6109 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (11523 268 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (11236 4716 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (10560 7370 (:REWRITE DEFAULT-<-1))
 (10071 6109 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (10063 10063 (:LINEAR POSITION-WHEN-MEMBER))
 (10063 10063 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (9988 6556 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (9176 9176 (:TYPE-PRESCRIPTION PREFIXP))
 (9101 992 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (8888 3720 (:REWRITE MEMBER-WHEN-ATOM))
 (8804 4244 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (8804 4244 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (8740 289 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (8492 2290 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (7736 1792 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (7736 1792 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (7405 508 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (7138 1334 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (6633 6209 (:REWRITE SUBSETP-TRANS))
 (6418 368 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6232 2488 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (6209 6209 (:REWRITE SUBSETP-TRANS2))
 (5847 2469 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5704 552 (:DEFINITION ABS-ASSOC-DEFINITION))
 (5643 1881 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (5394 396 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (5314 368 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (5216 2408 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5216 2408 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (5186 5186 (:REWRITE SUBSETP-MEMBER . 1))
 (4938 4938 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4444 4444 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (4444 4444 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (4444 4444 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (4444 4444 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (4328 736 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3787 795 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3724 1036 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (3720 3720 (:REWRITE SUBSETP-MEMBER . 3))
 (3720 3720 (:REWRITE INTERSECTP-MEMBER . 3))
 (3720 3720 (:REWRITE INTERSECTP-MEMBER . 2))
 (3486 3486 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3416 2072 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (3296 3296 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3296 3296 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3208 1604 (:REWRITE SET-EQUIV-ASYM))
 (2668 2668 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2668 1334 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2660 280 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (2658 886 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2532 2532 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2480 2480 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (2220 2220 (:TYPE-PRESCRIPTION NATP))
 (2220 2220 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (2072 2072 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2072 2072 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1830 366 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (1792 1792 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1792 1792 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1772 1772 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1772 886 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1656 1656 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1656 552 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (1604 1604 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1552 1552 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1510 1510 (:REWRITE SUBSETP-OF-CDR))
 (1472 1472 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1362 1362 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1244 1244 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1064 197 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1043 35 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1016 92 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (980 70 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (896 896 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (896 896 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (795 795 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (736 736 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (736 736 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (730 368 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (728 366 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (693 63 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (552 552 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (552 184 (:REWRITE COMMUTATIVITY-OF-+))
 (512 512 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (504 63 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (502 502 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (440 370 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (436 366 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (432 72 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (416 416 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (368 368 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (368 368 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (368 368 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (368 368 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (366 366 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (366 366 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (366 366 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (352 92 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (348 42 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (210 210 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (192 192 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (188 188 (:REWRITE INTERSECTP-MEMBER . 1))
 (188 42 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (184 184 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (184 184 (:REWRITE NTH-WHEN-PREFIXP))
 (184 184 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (176 64 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (144 92 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (90 90 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (84 84 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (80 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 (64 16 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (16 16 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (8 8 (:REWRITE ADDRS-AT-OF-APPEND-LEMMA-1))
 )
(ABS-SEPARATE-OF-TRUE-LIST-FIX
 (1652 14 (:DEFINITION MEMBER-EQUAL))
 (1456 28 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1061 15 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (980 28 (:DEFINITION NATP))
 (947 71 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (938 28 (:REWRITE SUBSETP-CAR-MEMBER))
 (882 112 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (818 24 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (784 28 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (742 28 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (644 28 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (532 56 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (524 36 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (473 23 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (420 28 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (420 28 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (356 24 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (280 14 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (252 252 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (241 10 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (231 36 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (202 160 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (196 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (160 160 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (142 142 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (140 42 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (123 123 (:REWRITE DEFAULT-CDR))
 (113 71 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (98 14 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (94 24 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (90 13 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (84 42 (:REWRITE SET-EQUIV-ASYM))
 (80 24 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (80 10 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (75 75 (:REWRITE DEFAULT-CAR))
 (70 28 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (68 12 (:DEFINITION LEN))
 (56 56 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (56 56 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (56 56 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (52 24 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (48 48 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (46 46 (:TYPE-PRESCRIPTION ABS-FS-P))
 (42 42 (:TYPE-PRESCRIPTION SET-EQUIV))
 (42 42 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (42 42 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (42 42 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (42 42 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (42 14 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (42 14 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (36 36 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 28 (:TYPE-PRESCRIPTION STRING-LISTP))
 (28 28 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (28 28 (:TYPE-PRESCRIPTION NATP))
 (28 28 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (28 28 (:TYPE-PRESCRIPTION D-E-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (28 28 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 28 (:REWRITE SUBSETP-TRANS2))
 (28 28 (:REWRITE SUBSETP-TRANS))
 (28 28 (:REWRITE SUBSETP-OF-CDR))
 (28 28 (:REWRITE SUBSETP-MEMBER . 4))
 (28 28 (:REWRITE SUBSETP-MEMBER . 3))
 (28 28 (:REWRITE SUBSETP-MEMBER . 2))
 (28 28 (:REWRITE SUBSETP-MEMBER . 1))
 (28 28 (:REWRITE MEMBER-WHEN-ATOM))
 (28 28 (:REWRITE INTERSECTP-MEMBER . 3))
 (28 28 (:REWRITE INTERSECTP-MEMBER . 2))
 (28 28 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (28 28 (:REWRITE DEFAULT-<-2))
 (28 28 (:REWRITE DEFAULT-<-1))
 (28 28 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (28 14 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (28 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (28 14 (:REWRITE DEFAULT-+-2))
 (28 14 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (24 24 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (16 16 (:LINEAR LEN-WHEN-PREFIXP))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (14 14 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (14 14 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (14 14 (:REWRITE SET::IN-SET))
 (14 14 (:REWRITE DEFAULT-+-1))
 (14 14 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (10 10 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(LIST-EQUIV-IMPLIES-EQUAL-ABS-SEPARATE-1
 (45 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (28 2 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (24 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (12 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (9 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (9 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (7 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5 1 (:DEFINITION LEN))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1
 (94641 1062 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (93509 927 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (73756 74 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (70146 1038 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (60990 899 (:REWRITE LEN-WHEN-PREFIXP))
 (45320 855 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (37557 1982 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (34444 220 (:DEFINITION PREFIXP))
 (19094 4036 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (13924 428 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (12547 2021 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (9686 9686 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (9328 589 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (8542 4308 (:REWRITE DEFAULT-+-2))
 (8531 403 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8209 6778 (:REWRITE DEFAULT-CDR))
 (6930 37 (:DEFINITION NTHCDR))
 (6924 992 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (6724 412 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (6664 34 (:DEFINITION INTERSECTP-EQUAL))
 (6320 348 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (5958 1986 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (5958 1986 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (5601 3052 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (5180 4101 (:LINEAR LEN-WHEN-PREFIXP))
 (5174 111 (:REWRITE ZP-OPEN))
 (5150 124 (:REWRITE NFIX-WHEN-ZP))
 (4995 742 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (4308 4308 (:REWRITE DEFAULT-+-1))
 (4097 763 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (3999 589 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3805 74 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2901 1038 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2898 966 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2783 2021 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2778 1389 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2613 871 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2505 2337 (:REWRITE DEFAULT-CAR))
 (2482 34 (:DEFINITION MEMBER-EQUAL))
 (2478 1038 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2168 1155 (:REWRITE DEFAULT-<-2))
 (2129 315 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (2078 1038 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2013 1488 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1995 1155 (:REWRITE DEFAULT-<-1))
 (1986 1986 (:LINEAR POSITION-WHEN-MEMBER))
 (1986 1986 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1984 1984 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1984 1984 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1984 1984 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1932 966 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1904 68 (:REWRITE SUBSETP-CAR-MEMBER))
 (1904 68 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1863 1863 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (1832 100 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1762 348 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1651 1000 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1646 1646 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (1576 1576 (:TYPE-PRESCRIPTION NAMES-AT))
 (1529 1038 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1528 226 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1519 1000 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1498 428 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1444 683 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1437 682 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1284 428 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1224 68 (:DEFINITION NATP))
 (992 992 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (952 68 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (856 856 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (856 428 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (806 806 (:TYPE-PRESCRIPTION ABS-FS-P))
 (763 763 (:REWRITE SUBSETP-TRANS2))
 (763 763 (:REWRITE SUBSETP-TRANS))
 (705 705 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (690 345 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (589 589 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (544 68 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (544 68 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (428 428 (:TYPE-PRESCRIPTION STRING-LISTP))
 (428 428 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (428 428 (:TYPE-PRESCRIPTION D-E-P))
 (428 428 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (428 428 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (428 214 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (389 389 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (348 348 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (331 118 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (296 296 (:REWRITE CONSP-OF-LIST-FIX))
 (214 214 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (214 214 (:REWRITE SET::IN-SET))
 (204 68 (:REWRITE MEMBER-WHEN-ATOM))
 (202 118 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (189 189 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (186 124 (:REWRITE NFIX-WHEN-NATP))
 (136 136 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (136 136 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (136 136 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (135 135 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (115 115 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (111 37 (:REWRITE COMMUTATIVITY-OF-+))
 (93 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (92 92 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (92 92 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (92 92 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (92 92 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (92 92 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (92 92 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (92 92 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (92 92 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (92 92 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (92 92 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (92 92 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (84 14 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (81 3 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (68 68 (:TYPE-PRESCRIPTION NATP))
 (68 68 (:REWRITE SUBSETP-MEMBER . 4))
 (68 68 (:REWRITE SUBSETP-MEMBER . 3))
 (68 68 (:REWRITE SUBSETP-MEMBER . 2))
 (68 68 (:REWRITE SUBSETP-MEMBER . 1))
 (68 68 (:REWRITE INTERSECTP-MEMBER . 3))
 (68 68 (:REWRITE INTERSECTP-MEMBER . 2))
 (68 68 (:REWRITE INTERSECTP-MEMBER . 1))
 (68 68 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (66 66 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (66 66 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (66 66 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (38 38 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (38 38 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (34 34 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (3 3 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11
 (133581 495 (:DEFINITION MEMBER-EQUAL))
 (123168 682 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (117087 595 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (70419 940 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (70280 1003 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (58601 300 (:REWRITE REMOVE-WHEN-ABSENT))
 (46693 7931 (:DEFINITION LEN))
 (41284 2120 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (35005 245 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (32470 260 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (32230 65 (:REWRITE CAR-OF-NTHCDR))
 (31958 152 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (31750 7129 (:LINEAR LEN-WHEN-PREFIXP))
 (30503 130 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (30037 136 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (29003 11081 (:REWRITE DEFAULT-CDR))
 (27470 130 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (27425 130 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (26257 1396 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (25935 65 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (25471 136 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (22636 715 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20257 100 (:DEFINITION REMOVE-EQUAL))
 (19505 415 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (18428 2120 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (17690 130 (:REWRITE CONSP-OF-NTHCDR))
 (16600 917 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (16057 8126 (:REWRITE DEFAULT-+-2))
 (14807 883 (:REWRITE SUBSETP-MEMBER . 4))
 (13442 715 (:REWRITE LEN-WHEN-PREFIXP))
 (12780 708 (:REWRITE NFIX-WHEN-ZP))
 (12740 130 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (12239 2120 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (12157 503 (:REWRITE ZP-OPEN))
 (12141 143 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (11936 11936 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8755 246 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (8526 2842 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (8526 2842 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8460 130 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (8309 2120 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (8163 235 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (8126 8126 (:REWRITE DEFAULT-+-1))
 (7315 401 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (7295 644 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (6815 235 (:DEFINITION NATP))
 (6660 131 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (5799 107 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (5765 65 (:DEFINITION NTH))
 (5684 5684 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5251 168 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (5224 65 (:REWRITE SUBSETP-OF-REMOVE2))
 (5170 235 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (5106 1702 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4931 3878 (:REWRITE DEFAULT-CAR))
 (4924 1702 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (4128 977 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3820 1176 (:REWRITE SUBSETP-MEMBER . 2))
 (3746 977 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3709 434 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3648 794 (:DEFINITION STRIP-CARS))
 (3557 2688 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (3555 235 (:REWRITE SUBSETP-CAR-MEMBER))
 (3496 66 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (3444 2132 (:REWRITE DEFAULT-<-2))
 (3342 136 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (3284 1902 (:REWRITE CONSP-OF-STRIP-CARS))
 (3064 2132 (:REWRITE DEFAULT-<-1))
 (2955 1344 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2934 136 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2926 798 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2899 2899 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2842 2842 (:LINEAR POSITION-WHEN-MEMBER))
 (2842 2842 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2820 235 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2792 2792 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2612 1337 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2541 667 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2530 130 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2441 1337 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2420 260 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2418 168 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (2380 434 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2342 883 (:REWRITE MEMBER-WHEN-ATOM))
 (2194 1396 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2163 401 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2140 130 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (2115 470 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (2115 470 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (2115 470 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (1947 41 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (1720 829 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1630 84 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (1628 143 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (1572 46 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1422 100 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1344 168 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1235 883 (:REWRITE INTERSECTP-MEMBER . 3))
 (1215 45 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (1176 1176 (:REWRITE SUBSETP-MEMBER . 1))
 (1135 386 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1067 1067 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (1008 336 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1008 336 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (977 977 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (940 235 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (883 883 (:REWRITE SUBSETP-MEMBER . 3))
 (883 883 (:REWRITE INTERSECTP-MEMBER . 2))
 (878 470 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (868 868 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (864 864 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (852 284 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (818 818 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (810 266 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (805 805 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (802 401 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (798 798 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (775 370 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (754 388 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (740 740 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (702 702 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (680 680 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (680 40 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (667 667 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (585 585 (:TYPE-PRESCRIPTION M1-FILE-P))
 (585 195 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (538 538 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (534 534 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (520 520 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (515 65 (:REWRITE NTH-WHEN-PREFIXP))
 (504 168 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (497 391 (:REWRITE SUBSETP-TRANS))
 (470 470 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (470 470 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (470 470 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (470 470 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (454 227 (:REWRITE SET-EQUIV-ASYM))
 (414 414 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (396 396 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (391 391 (:REWRITE SUBSETP-TRANS2))
 (381 201 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (380 380 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (361 214 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (351 1 (:REWRITE MEMBER-OF-REMOVE))
 (336 336 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (336 336 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (336 336 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (272 272 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (260 260 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (260 260 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (246 41 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (235 235 (:TYPE-PRESCRIPTION NATP))
 (235 235 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (235 235 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (229 45 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (227 227 (:TYPE-PRESCRIPTION SET-EQUIV))
 (225 225 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (221 221 (:REWRITE SUBSETP-OF-CDR))
 (214 214 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (214 214 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (205 41 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (201 201 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (195 195 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (195 65 (:REWRITE COMMUTATIVITY-OF-+))
 (168 168 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (168 168 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (162 27 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (160 20 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (159 159 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (152 152 (:REWRITE MEMBER-OF-STRIP-CARS))
 (152 152 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (142 142 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (138 138 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (138 138 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (138 138 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (130 130 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (124 45 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (123 41 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (107 107 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (107 107 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (88 88 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (82 82 (:TYPE-PRESCRIPTION STRING-LISTP))
 (82 82 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (82 82 (:TYPE-PRESCRIPTION D-E-P))
 (82 82 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (82 41 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (80 80 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (68 68 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (65 65 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (46 46 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (46 46 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (46 46 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (46 46 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (45 45 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (45 45 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (45 45 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (44 16 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (41 41 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (41 41 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (41 41 (:REWRITE SET::IN-SET))
 (26 26 (:REWRITE INTERSECTP-MEMBER . 1))
 (25 5 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 (20 4 (:DEFINITION ATOM))
 (16 4 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (14 2 (:REWRITE SET-EQUIV-OF-NIL))
 (9 9 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (6 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (4 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (2 2 (:REWRITE ADDRS-AT-OF-APPEND-LEMMA-1))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-2
 (23492 412 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (22287 225 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (21758 412 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (19504 370 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
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 (6572 280 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
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 (3648 1854 (:REWRITE DEFAULT-+-2))
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 (1854 1854 (:REWRITE DEFAULT-+-1))
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 (1680 1680 (:LINEAR LEN-WHEN-PREFIXP))
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 (1380 58 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (1286 1285 (:REWRITE DEFAULT-CAR))
 (1106 1106 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
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 (1040 20 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1000 540 (:REWRITE DEFAULT-<-2))
 (850 540 (:REWRITE DEFAULT-<-1))
 (795 795 (:LINEAR POSITION-WHEN-MEMBER))
 (795 795 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (765 255 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (712 397 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (712 397 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (710 710 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (700 20 (:DEFINITION NATP))
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 (600 600 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (578 578 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (560 20 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (530 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
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 (476 236 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (430 430 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
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 (300 20 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (289 289 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (287 22 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (270 135 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (270 135 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (264 15 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
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 (236 236 (:REWRITE SUBSETP-TRANS))
 (236 118 (:REWRITE SET-EQUIV-ASYM))
 (235 15 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (230 230 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (230 92 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (200 10 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (195 195 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (190 190 (:TYPE-PRESCRIPTION ABS-ADDRS))
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 (175 15 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (145 30 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (140 110 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (140 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (123 9 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (120 120 (:TYPE-PRESCRIPTION NFIX))
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 (118 118 (:TYPE-PRESCRIPTION SET-EQUIV))
 (118 118 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (110 110 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
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 (108 108 (:REWRITE SUBSETP-MEMBER . 2))
 (108 108 (:REWRITE SUBSETP-MEMBER . 1))
 (100 30 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (100 15 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (90 30 (:REWRITE COMMUTATIVITY-OF-+))
 (89 59 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (74 74 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (74 74 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (74 2 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (73 73 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (70 10 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
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 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 7))
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 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (58 58 (:REWRITE INTERSECT-WITH-SUBSET . 1))
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 (30 30 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (30 30 (:TYPE-PRESCRIPTION ABS-FS-P))
 (30 30 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (30 30 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (30 30 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (30 30 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
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 (30 10 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (28 28 (:REWRITE INTERSECTP-MEMBER . 1))
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 (20 20 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (20 20 (:REWRITE SUBSETP-MEMBER . 4))
 (20 20 (:REWRITE SUBSETP-MEMBER . 3))
 (20 20 (:REWRITE MEMBER-WHEN-ATOM))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 3))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 2))
 (20 20 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (20 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (20 10 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (18 18 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (18 9 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (10 10 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (10 10 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (9 9 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3
 (6865 88 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (4845 18 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
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 (3939 123 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
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 (3082 455 (:DEFINITION LEN))
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 (1836 9 (:DEFINITION NO-DUPLICATESP-EQUAL))
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 (936 18 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (928 473 (:REWRITE DEFAULT-+-2))
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 (652 82 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (630 18 (:DEFINITION NATP))
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 (531 177 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
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 (477 18 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (473 473 (:REWRITE DEFAULT-+-1))
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 (90 27 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
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 (36 36 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
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 (36 36 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (36 36 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
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 (36 36 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (36 9 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
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 (27 27 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (27 9 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (27 9 (:REWRITE COMMUTATIVITY-OF-+))
 (27 9 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (20 20 (:REWRITE NAMES-AT-WHEN-PREFIXP))
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 (18 18 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (18 18 (:REWRITE SUBSETP-OF-CDR))
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 (18 18 (:REWRITE SUBSETP-MEMBER . 3))
 (18 18 (:REWRITE SUBSETP-MEMBER . 2))
 (18 18 (:REWRITE SUBSETP-MEMBER . 1))
 (18 18 (:REWRITE MEMBER-WHEN-ATOM))
 (18 18 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 3))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 2))
 (18 18 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (18 9 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 9 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (13 13 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (9 9 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
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 (4 4 (:REWRITE INTERSECTP-MEMBER . 1))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4
 (1298 11 (:DEFINITION MEMBER-EQUAL))
 (1144 22 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (770 22 (:DEFINITION NATP))
 (737 22 (:REWRITE SUBSETP-CAR-MEMBER))
 (693 88 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (660 220 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (616 22 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (583 22 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (506 22 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (451 11 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (440 220 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (418 44 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (330 22 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (330 22 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
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 (198 198 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (154 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (144 72 (:REWRITE DEFAULT-CDR))
 (110 33 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (77 11 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (74 74 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (66 33 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (66 33 (:REWRITE SET-EQUIV-ASYM))
 (63 63 (:REWRITE DEFAULT-CAR))
 (55 22 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (44 44 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (44 44 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (44 44 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (44 11 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (33 33 (:TYPE-PRESCRIPTION SET-EQUIV))
 (33 33 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (33 33 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (33 33 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (33 33 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
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 (33 11 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (22 22 (:TYPE-PRESCRIPTION NATP))
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 (22 22 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (22 22 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (22 22 (:REWRITE SUBSETP-TRANS2))
 (22 22 (:REWRITE SUBSETP-TRANS))
 (22 22 (:REWRITE SUBSETP-OF-CDR))
 (22 22 (:REWRITE SUBSETP-MEMBER . 4))
 (22 22 (:REWRITE SUBSETP-MEMBER . 3))
 (22 22 (:REWRITE SUBSETP-MEMBER . 2))
 (22 22 (:REWRITE SUBSETP-MEMBER . 1))
 (22 22 (:REWRITE MEMBER-WHEN-ATOM))
 (22 22 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (22 22 (:REWRITE INTERSECTP-MEMBER . 3))
 (22 22 (:REWRITE INTERSECTP-MEMBER . 2))
 (22 22 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (22 22 (:REWRITE DEFAULT-<-2))
 (22 22 (:REWRITE DEFAULT-<-1))
 (22 11 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (22 11 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (11 11 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (11 11 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (11 11 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-5
 (3952 27 (:DEFINITION MEMBER-EQUAL))
 (2364 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (2331 31 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2049 683 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1861 594 (:REWRITE DEFAULT-CDR))
 (1680 26 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1654 9 (:REWRITE REMOVE-WHEN-ABSENT))
 (1564 177 (:DEFINITION ASSOC-EQUAL))
 (1406 38 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1374 24 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1352 38 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1336 3 (:DEFINITION REMOVE-EQUAL))
 (1140 10 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1137 77 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1119 162 (:DEFINITION LEN))
 (1052 22 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (981 49 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (871 25 (:REWRITE LEN-WHEN-PREFIXP))
 (820 88 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (798 34 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (774 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (770 20 (:REWRITE SUBSETP-CAR-MEMBER))
 (718 694 (:REWRITE DEFAULT-CAR))
 (701 29 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (652 1 (:REWRITE EQUAL-OF-FRAME-VAL))
 (599 4 (:DEFINITION NTHCDR))
 (584 14 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (565 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (564 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (561 3 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (560 21 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (550 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (550 1 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
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 (508 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (468 36 (:DEFINITION NATP))
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 (434 25 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (402 402 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (384 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (382 378 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (372 2 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (358 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (346 16 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (338 338 (:TYPE-PRESCRIPTION STRIP-CARS))
 (336 3 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (332 170 (:REWRITE DEFAULT-+-2))
 (322 26 (:REWRITE NFIX-WHEN-ZP))
 (316 1 (:REWRITE ABS-NO-DUPS-P-OF-CTX-APP))
 (312 12 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (309 126 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (292 21 (:REWRITE ZP-OPEN))
 (282 282 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (280 4 (:REWRITE MEMBER-OF-STRIP-CARS))
 (252 252 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (229 3 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (204 64 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (189 63 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (189 63 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (177 177 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (170 170 (:REWRITE DEFAULT-+-1))
 (168 12 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (166 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (165 1 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (155 41 (:REWRITE MEMBER-WHEN-ATOM))
 (152 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (149 100 (:REWRITE DEFAULT-<-2))
 (132 132 (:LINEAR LEN-WHEN-PREFIXP))
 (129 9 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (128 7 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (125 100 (:REWRITE DEFAULT-<-1))
 (116 12 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (104 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (101 71 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (100 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (100 2 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (92 7 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (90 90 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (89 89 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (89 89 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (88 4 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (86 61 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (86 4 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (85 85 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (84 33 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (81 33 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (75 75 (:TYPE-PRESCRIPTION CTX-APP))
 (75 75 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (73 8 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (71 71 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (66 33 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (64 14 (:DEFINITION STRIP-CARS))
 (63 63 (:LINEAR POSITION-WHEN-MEMBER))
 (63 63 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (63 33 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (58 29 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (56 56 (:REWRITE SUBSETP-MEMBER . 2))
 (56 56 (:REWRITE SUBSETP-MEMBER . 1))
 (52 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (48 4 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (46 23 (:REWRITE SET-EQUIV-ASYM))
 (45 15 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (44 44 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (43 43 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (42 38 (:REWRITE CONSP-OF-STRIP-CARS))
 (42 21 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (41 41 (:REWRITE SUBSETP-MEMBER . 4))
 (41 41 (:REWRITE SUBSETP-MEMBER . 3))
 (41 41 (:REWRITE INTERSECTP-MEMBER . 3))
 (41 41 (:REWRITE INTERSECTP-MEMBER . 2))
 (41 2 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (38 38 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (38 38 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (38 38 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (38 38 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (36 36 (:TYPE-PRESCRIPTION NAMES-AT))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (35 17 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (35 17 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (34 34 (:REWRITE SUBSETP-TRANS2))
 (34 34 (:REWRITE SUBSETP-TRANS))
 (34 4 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (34 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (33 9 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (30 24 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (28 8 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (28 8 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (27 15 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (27 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (25 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (24 24 (:TYPE-PRESCRIPTION SET-EQUIV))
 (24 24 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (24 24 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (24 12 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (22 1 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (20 20 (:REWRITE SUBSETP-OF-CDR))
 (20 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (20 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (18 9 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (18 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (15 15 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (15 15 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (14 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 (12 2 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (11 11 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (11 3 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (11 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (11 1 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (10 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (6 4 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (6 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (5 5 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (5 1 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (4 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 1 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION NULL))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (3 3 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (3 3 (:DEFINITION NULL))
 (2 2 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE SUBSETP-REFL))
 (1 1 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3))
 (1 1 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-6
 (212 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (195 65 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (136 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (119 21 (:REWRITE DEFAULT-CDR))
 (112 13 (:DEFINITION ASSOC-EQUAL))
 (82 4 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (80 1 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (64 1 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (53 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (45 45 (:REWRITE DEFAULT-CAR))
 (41 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (30 30 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (21 21 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (21 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11 11 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (11 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (9 9 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 2 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 2 (:DEFINITION NATP))
 (5 1 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (5 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (2 2 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7
 (24606 343 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (22517 86 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (20661 307 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (17908 116 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (15901 293 (:REWRITE LEN-WHEN-PREFIXP))
 (15357 307 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (10146 1477 (:DEFINITION LEN))
 (9618 3206 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (7930 3100 (:REWRITE DEFAULT-CDR))
 (6783 43 (:DEFINITION NTHCDR))
 (5386 86 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (4411 293 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3328 177 (:REWRITE NFIX-WHEN-ZP))
 (3094 3094 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3040 1563 (:REWRITE DEFAULT-+-2))
 (2732 45 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (2378 2378 (:REWRITE DEFAULT-CAR))
 (2257 86 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2064 688 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2064 688 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1782 66 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (1741 43 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1652 1454 (:LINEAR LEN-WHEN-PREFIXP))
 (1605 29 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (1563 1563 (:REWRITE DEFAULT-+-1))
 (1400 1400 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1194 641 (:REWRITE DEFAULT-<-2))
 (934 641 (:REWRITE DEFAULT-<-1))
 (924 588 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (896 536 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (881 86 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (688 688 (:LINEAR POSITION-WHEN-MEMBER))
 (688 688 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (605 275 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (602 275 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (513 171 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (451 129 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (430 129 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (308 307 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (307 307 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (307 307 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (307 307 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (270 132 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (270 132 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (232 232 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (218 10 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (174 84 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (172 172 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (172 86 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (172 43 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (144 144 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (132 132 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (132 132 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (132 132 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (129 129 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (129 129 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (129 43 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (129 43 (:REWRITE COMMUTATIVITY-OF-+))
 (129 43 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (129 43 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (128 8 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (126 126 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (116 116 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (90 45 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (86 86 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (86 86 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (86 43 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (86 43 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (72 72 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (45 45 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (43 43 (:TYPE-PRESCRIPTION ABS-FS-P))
 (43 43 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (43 43 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (34 34 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (34 34 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (29 29 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (9 9 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (9 9 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (3 1 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8
 (202286 45 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (189710 454 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (188159 2110 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (154630 1720 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (144278 578 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (127046 1814 (:REWRITE LEN-WHEN-PREFIXP))
 (83337 1720 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (72720 436 (:DEFINITION MEMBER-EQUAL))
 (68095 234 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (47930 215 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (40541 289 (:DEFINITION NTHCDR))
 (31918 578 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (29796 9932 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (27324 1812 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (17828 1406 (:REWRITE NFIX-WHEN-ZP))
 (17788 17788 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (16328 8453 (:REWRITE DEFAULT-+-2))
 (13869 13869 (:REWRITE DEFAULT-CAR))
 (12036 4012 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12036 4012 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (11893 453 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (10468 3148 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (8532 877 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (8453 8453 (:REWRITE DEFAULT-+-1))
 (8286 8286 (:LINEAR LEN-WHEN-PREFIXP))
 (7934 7934 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7182 3887 (:REWRITE DEFAULT-<-2))
 (6423 1589 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6323 666 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (5836 3475 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (5685 3887 (:REWRITE DEFAULT-<-1))
 (5485 215 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (5079 1712 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (4960 240 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (4012 4012 (:LINEAR POSITION-WHEN-MEMBER))
 (4012 4012 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3871 459 (:REWRITE MEMBER-WHEN-ATOM))
 (3842 723 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (3781 236 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (3559 1522 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (3523 1522 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (3178 3178 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2955 484 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2610 870 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1930 1930 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (1720 1720 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1720 1720 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1720 1720 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1720 1720 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1662 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (1582 790 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1582 790 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1536 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (1436 11 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (1426 713 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1314 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1272 1272 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1092 453 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (974 974 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (968 484 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (910 910 (:REWRITE SUBSETP-MEMBER . 2))
 (910 910 (:REWRITE SUBSETP-MEMBER . 1))
 (908 908 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (896 56 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (893 893 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (893 893 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (893 893 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (877 877 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (867 289 (:REWRITE COMMUTATIVITY-OF-+))
 (715 715 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (690 9 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (480 240 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (459 459 (:REWRITE SUBSETP-MEMBER . 4))
 (459 459 (:REWRITE SUBSETP-MEMBER . 3))
 (459 459 (:REWRITE INTERSECTP-MEMBER . 3))
 (459 459 (:REWRITE INTERSECTP-MEMBER . 2))
 (454 454 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (454 454 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (453 60 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (420 12 (:DEFINITION NATP))
 (402 12 (:REWRITE SUBSETP-CAR-MEMBER))
 (336 12 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (289 289 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (276 276 (:TYPE-PRESCRIPTION FRAME-VAL))
 (276 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (240 240 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (234 234 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (228 24 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (180 12 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (180 12 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (144 9 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (135 135 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (117 117 (:TYPE-PRESCRIPTION CTX-APP))
 (114 3 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (84 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (81 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (75 6 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (66 24 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (48 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (42 6 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (36 36 (:TYPE-PRESCRIPTION NAMES-AT))
 (36 18 (:REWRITE SET-EQUIV-ASYM))
 (33 33 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (32 32 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (30 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (24 24 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (24 24 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (18 18 (:TYPE-PRESCRIPTION SET-EQUIV))
 (18 18 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (14 14 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (12 12 (:TYPE-PRESCRIPTION DIST-NAMES))
 (12 12 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (12 12 (:REWRITE SUBSETP-OF-CDR))
 (12 12 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (12 12 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (12 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (12 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (12 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (12 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (12 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (6 6 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 1))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (6 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (6 6 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-9
 (1819 32 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1494 22 (:DEFINITION MEMBER-EQUAL))
 (1347 449 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1280 17 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1256 36 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (999 36 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (922 110 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (906 449 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (795 40 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (768 36 (:DEFINITION NATP))
 (648 60 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (497 32 (:REWRITE SUBSETP-CAR-MEMBER))
 (437 136 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (436 436 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (433 96 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (405 15 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (379 119 (:REWRITE DEFAULT-CDR))
 (364 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (348 36 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (336 336 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (313 3 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (294 50 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (284 7 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (270 168 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (262 214 (:REWRITE DEFAULT-CAR))
 (250 44 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (250 44 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (250 44 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (239 60 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (225 16 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (224 29 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (210 5 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (170 170 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (160 160 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (154 14 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (129 43 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (117 91 (:REWRITE DEFAULT-<-2))
 (116 116 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (114 57 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (114 19 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (112 14 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (105 72 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (104 104 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (104 104 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (102 36 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (100 100 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (96 16 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (96 16 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (96 5 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (95 95 (:TYPE-PRESCRIPTION ABS-FS-P))
 (91 91 (:REWRITE DEFAULT-<-1))
 (91 91 (:REWRITE CONSP-OF-STRIP-CARS))
 (86 86 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (86 43 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (84 14 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (84 14 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (84 14 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (84 5 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (81 6 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (72 72 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (72 72 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (72 72 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (72 4 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (70 28 (:REWRITE MEMBER-WHEN-ATOM))
 (64 32 (:REWRITE SET-EQUIV-ASYM))
 (60 60 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (58 58 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (57 3 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (52 52 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (52 52 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (49 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (44 44 (:REWRITE SUBSETP-MEMBER . 2))
 (44 44 (:REWRITE SUBSETP-MEMBER . 1))
 (36 36 (:TYPE-PRESCRIPTION NATP))
 (36 3 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (32 32 (:TYPE-PRESCRIPTION SET-EQUIV))
 (32 32 (:REWRITE SUBSETP-OF-CDR))
 (28 28 (:REWRITE SUBSETP-MEMBER . 4))
 (28 28 (:REWRITE SUBSETP-MEMBER . 3))
 (28 28 (:REWRITE INTERSECTP-MEMBER . 3))
 (28 28 (:REWRITE INTERSECTP-MEMBER . 2))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (21 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (21 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (18 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (16 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (16 16 (:REWRITE SUBSETP-TRANS2))
 (16 16 (:REWRITE SUBSETP-TRANS))
 (12 12 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (11 11 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (9 9 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (9 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 3 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10
 (69 23 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12
 (2 2 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13
 (76094 1466 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (69057 235 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (62694 795 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (56848 216 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (56046 228 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (49793 713 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (44623 297 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (40725 671 (:REWRITE LEN-WHEN-PREFIXP))
 (31507 713 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (22475 9 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (22459 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (21990 3252 (:DEFINITION LEN))
 (17679 114 (:DEFINITION NTHCDR))
 (16218 6294 (:REWRITE DEFAULT-CDR))
 (13916 228 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (9703 1261 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (8859 671 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8100 449 (:REWRITE NFIX-WHEN-ZP))
 (6990 6990 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6732 3480 (:REWRITE DEFAULT-+-2))
 (6648 2216 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6645 108 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (5731 221 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4737 1579 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4737 1579 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4549 155 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4422 76 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (4285 14 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (4154 4136 (:REWRITE DEFAULT-CAR))
 (3480 3480 (:REWRITE DEFAULT-+-1))
 (3356 3356 (:LINEAR LEN-WHEN-PREFIXP))
 (3175 99 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (2812 1525 (:REWRITE DEFAULT-<-2))
 (2562 221 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2509 2509 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2196 1525 (:REWRITE DEFAULT-<-1))
 (2056 1261 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1889 1137 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1579 1579 (:LINEAR POSITION-WHEN-MEMBER))
 (1579 1579 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1529 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-9))
 (1402 637 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1402 637 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1311 336 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1260 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1201 349 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1011 337 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (999 15 (:DEFINITION MEMBER-EQUAL))
 (837 18 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (792 12 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (720 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (713 713 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (713 713 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (713 713 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (713 713 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (687 39 (:REWRITE SUBSETP-CAR-MEMBER))
 (644 326 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (641 326 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (507 117 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (507 117 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (506 155 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (492 99 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (481 481 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (442 221 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (432 432 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (416 416 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (406 205 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (399 225 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (396 12 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (384 24 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (349 349 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (348 12 (:DEFINITION NATP))
 (342 114 (:REWRITE COMMUTATIVITY-OF-+))
 (338 338 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (312 312 (:TYPE-PRESCRIPTION STRIP-CARS))
 (312 104 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (310 310 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (298 155 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (264 12 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (234 234 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (234 117 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (234 15 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (222 12 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (216 216 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (216 108 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (213 213 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (209 209 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (205 205 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (198 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (196 196 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (188 188 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (188 188 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (180 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (155 155 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (144 12 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (130 130 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (126 24 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (122 122 (:TYPE-PRESCRIPTION ABS-FS-P))
 (117 12 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (111 108 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (110 110 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (99 99 (:TYPE-PRESCRIPTION FRAME-VAL))
 (99 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (98 8 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (91 91 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (90 24 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (90 24 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (90 9 (:DEFINITION ALISTP))
 (89 89 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (84 84 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (78 60 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (77 76 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (72 18 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (69 69 (:REWRITE SUBSETP-TRANS2))
 (69 69 (:REWRITE SUBSETP-TRANS))
 (60 60 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (48 12 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (45 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (42 42 (:REWRITE CONSP-OF-STRIP-CARS))
 (42 24 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (36 36 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (36 36 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (36 6 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (30 30 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (30 30 (:REWRITE SUBSETP-MEMBER . 2))
 (30 30 (:REWRITE SUBSETP-MEMBER . 1))
 (30 12 (:REWRITE MEMBER-WHEN-ATOM))
 (24 24 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (24 24 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (24 12 (:REWRITE SET-EQUIV-ASYM))
 (24 6 (:DEFINITION STRIP-CARS))
 (18 18 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (18 18 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (13 13 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (13 13 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (12 12 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION NATP))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (12 12 (:REWRITE SUBSETP-OF-CDR))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (12 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (9 9 (:REWRITE SUBSETP-REFL))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14
 (736 86 (:REWRITE DEFAULT-CDR))
 (684 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (541 9 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (537 179 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (344 3 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (324 12 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (294 34 (:DEFINITION ASSOC-EQUAL))
 (275 3 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (254 12 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (246 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (241 5 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (178 9 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (134 1 (:DEFINITION NTHCDR))
 (122 19 (:DEFINITION LEN))
 (112 112 (:REWRITE DEFAULT-CAR))
 (106 9 (:REWRITE LEN-WHEN-PREFIXP))
 (98 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (93 93 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (86 86 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (82 1 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (68 68 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (62 1 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (55 6 (:REWRITE NFIX-WHEN-ZP))
 (53 3 (:REWRITE ZP-OPEN))
 (51 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (40 21 (:REWRITE DEFAULT-+-2))
 (39 24 (:REWRITE DEFAULT-<-2))
 (39 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (38 38 (:LINEAR LEN-WHEN-PREFIXP))
 (38 38 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (33 24 (:REWRITE DEFAULT-<-1))
 (30 30 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (24 24 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (24 24 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24 24 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (21 21 (:REWRITE DEFAULT-+-1))
 (19 19 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (19 19 (:LINEAR POSITION-WHEN-MEMBER))
 (19 19 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (19 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (18 18 (:TYPE-PRESCRIPTION PREFIXP))
 (18 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (12 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (12 3 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (10 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (10 2 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (9 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (9 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (9 3 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (6 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (6 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (6 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (6 2 (:DEFINITION NATP))
 (5 5 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (5 1 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (5 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3 3 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3 3 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-17
 (99 33 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (66 33 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (30 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (27 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (17 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (14 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (9 3 (:REWRITE DEFAULT-CDR))
 (9 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (7 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (7 1 (:DEFINITION ASSOC-EQUAL))
 (5 5 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 1 (:DEFINITION STRIP-CARS))
 (3 3 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15
 (596503 1549 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (591730 7102 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (518885 1300 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (494623 2656 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (408287 6743 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (342679 5090 (:REWRITE LEN-WHEN-PREFIXP))
 (250679 6743 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (216336 61968 (:REWRITE DEFAULT-CDR))
 (208806 30814 (:DEFINITION LEN))
 (177038 1328 (:DEFINITION NTHCDR))
 (172897 2656 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (139805 1236 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (126130 1636 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (122230 8 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (118889 871 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (111076 1636 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (77745 77 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (75991 4869 (:REWRITE NFIX-WHEN-ZP))
 (67589 3 (:DEFINITION REMOVE-EQUAL))
 (64284 33470 (:REWRITE DEFAULT-+-2))
 (61328 5080 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (58802 861 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (58447 42873 (:REWRITE DEFAULT-CAR))
 (56580 56580 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (51654 17218 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (37698 12566 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (37698 12566 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (34170 9 (:REWRITE REMOVE-WHEN-ABSENT))
 (33470 33470 (:REWRITE DEFAULT-+-1))
 (31227 1131 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (27668 27668 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (26780 26780 (:LINEAR LEN-WHEN-PREFIXP))
 (25286 13868 (:REWRITE DEFAULT-<-2))
 (24456 880 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (20483 1236 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (18878 13868 (:REWRITE DEFAULT-<-1))
 (17266 7345 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (16702 7 (:REWRITE MEMBER-WHEN-ATOM))
 (16307 9479 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (12566 12566 (:LINEAR POSITION-WHEN-MEMBER))
 (12566 12566 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (11569 5347 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (11569 5347 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (10452 5433 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (10386 5433 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (9834 2418 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (9474 3158 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (7548 500 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (7086 3063 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (6743 6743 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6743 6743 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6743 6743 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6743 6743 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (5035 190 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (4171 855 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3984 1328 (:REWRITE COMMUTATIVITY-OF-+))
 (3961 3961 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (3272 1636 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2600 2600 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2498 2498 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (2472 2472 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2351 1188 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2248 2248 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2239 2239 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2239 2239 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2185 190 (:REWRITE SUBSETP-CAR-MEMBER))
 (1742 871 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1716 1716 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1710 855 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1382 1382 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1300 1300 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1284 1284 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1279 321 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1188 1188 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1054 34 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1048 1048 (:TYPE-PRESCRIPTION FRAME-VAL))
 (1005 1005 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (984 984 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (952 34 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (950 95 (:DEFINITION ALISTP))
 (894 871 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (888 880 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (787 83 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (760 190 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (747 747 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (640 49 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (629 17 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (451 29 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (380 380 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (321 321 (:REWRITE SUBSETP-TRANS2))
 (321 321 (:REWRITE SUBSETP-TRANS))
 (320 320 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (315 19 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (306 226 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (306 226 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (279 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (275 275 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (255 34 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (192 192 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (190 190 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (188 6 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (187 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (144 36 (:DEFINITION STRIP-CARS))
 (120 120 (:TYPE-PRESCRIPTION NAMES-AT))
 (118 118 (:TYPE-PRESCRIPTION STRIP-CARS))
 (112 9 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (110 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (103 103 (:REWRITE SUBSETP-MEMBER . 2))
 (103 103 (:REWRITE SUBSETP-MEMBER . 1))
 (102 17 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (95 95 (:REWRITE SUBSETP-REFL))
 (91 91 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (89 89 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (79 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (68 68 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (68 68 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (68 68 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (68 3 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (49 49 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (40 40 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (34 34 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (30 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (18 18 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 1))
 (15 5 (:DEFINITION NATP))
 (12 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 10 (:REWRITE CONSP-OF-STRIP-CARS))
 (10 3 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (10 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (8 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (7 7 (:REWRITE SUBSETP-MEMBER . 4))
 (7 7 (:REWRITE SUBSETP-MEMBER . 3))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 3))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 2))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (5 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1 1 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 )
(ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS
 (1170 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (872 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (814 19 (:DEFINITION ASSOC-EQUAL))
 (754 7 (:DEFINITION MEMBER-EQUAL))
 (751 72 (:REWRITE DEFAULT-CDR))
 (704 5 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (564 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (552 41 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (540 180 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (509 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (384 8 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (293 17 (:REWRITE SUBSETP-CAR-MEMBER))
 (290 24 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (279 6 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (268 53 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (266 266 (:TYPE-PRESCRIPTION STRIP-CARS))
 (266 8 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (248 14 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (226 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (192 10 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (160 7 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (152 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (151 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (140 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (138 7 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (134 1 (:DEFINITION NTHCDR))
 (116 12 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (116 4 (:DEFINITION NATP))
 (111 111 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (108 7 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (106 94 (:REWRITE DEFAULT-CAR))
 (106 63 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (104 20 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (100 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (98 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (88 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (83 23 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (83 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (82 82 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (81 5 (:REWRITE ZP-OPEN))
 (80 80 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (74 41 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (63 63 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (54 30 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (53 4 (:REWRITE NFIX-WHEN-ZP))
 (51 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (48 4 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (44 44 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (44 10 (:DEFINITION STRIP-CARS))
 (42 30 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (36 5 (:DEFINITION LEN))
 (34 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (33 33 (:REWRITE SUBSETP-TRANS2))
 (33 33 (:REWRITE SUBSETP-TRANS))
 (32 32 (:TYPE-PRESCRIPTION ABS-FS-P))
 (30 30 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (30 28 (:REWRITE CONSP-OF-STRIP-CARS))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (30 3 (:DEFINITION ALISTP))
 (28 8 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (28 8 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (24 15 (:REWRITE DEFAULT-<-2))
 (24 6 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (24 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (23 23 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (20 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (20 20 (:LINEAR LEN-WHEN-PREFIXP))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20 8 (:REWRITE MEMBER-WHEN-ATOM))
 (16 16 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (16 16 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (16 16 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (16 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (15 15 (:REWRITE DEFAULT-<-1))
 (14 14 (:REWRITE SUBSETP-MEMBER . 2))
 (14 14 (:REWRITE SUBSETP-MEMBER . 1))
 (14 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (14 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (14 7 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (12 7 (:REWRITE DEFAULT-+-2))
 (12 2 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (11 11 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (10 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION SET-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (7 7 (:REWRITE DEFAULT-+-1))
 (7 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (7 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (6 6 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (6 4 (:REWRITE NFIX-WHEN-NATP))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE SUBSETP-REFL))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (2 2 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 )
(DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME
 (272 1 (:DEFINITION ABS-SEPARATE))
 (237 79 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (204 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (158 79 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (118 1 (:DEFINITION MEMBER-EQUAL))
 (104 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (81 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (70 2 (:DEFINITION NATP))
 (67 19 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (67 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (63 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (62 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (56 20 (:REWRITE DEFAULT-CDR))
 (56 2 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (53 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (46 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (45 6 (:DEFINITION ASSOC-EQUAL))
 (43 43 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (41 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (38 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (30 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (30 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (27 27 (:REWRITE DEFAULT-CAR))
 (20 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (19 19 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (18 18 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (14 14 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (14 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (10 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (7 1 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (6 3 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (5 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE MEMBER-WHEN-ATOM))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 1 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (1 1 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-SEPARATE-OF-FRAME->FRAME)
(ABS-SEPARATE-OF-FRAME-WITH-ROOT
 (851 5 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (500 5 (:DEFINITION MEMBER-EQUAL))
 (370 10 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (320 10 (:REWRITE SUBSETP-CAR-MEMBER))
 (300 43 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (294 10 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (270 14 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (250 10 (:DEFINITION NATP))
 (215 10 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (195 65 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (180 10 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (175 17 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (135 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (123 5 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (111 111 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (100 10 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (100 10 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (93 93 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (75 75 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (65 65 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (63 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (58 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (54 54 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (51 6 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (51 3 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (50 15 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (43 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (42 33 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (40 40 (:TYPE-PRESCRIPTION NAT-LISTP))
 (37 33 (:REWRITE DEFAULT-CDR))
 (36 8 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (33 33 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (33 12 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (29 14 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (28 28 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (28 13 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (28 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (27 6 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (24 24 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (24 12 (:REWRITE SET-EQUIV-ASYM))
 (24 12 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (24 3 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (22 22 (:REWRITE DEFAULT-CAR))
 (22 13 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (20 20 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (20 20 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (20 20 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (20 20 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (18 6 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (18 6 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (15 15 (:TYPE-PRESCRIPTION SET-EQUIV))
 (15 15 (:TYPE-PRESCRIPTION ABS-FS-P))
 (15 15 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (15 5 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (14 2 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (13 13 (:REWRITE SUBSETP-TRANS2))
 (13 13 (:REWRITE SUBSETP-TRANS))
 (12 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (10 10 (:TYPE-PRESCRIPTION NATP))
 (10 10 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (10 10 (:REWRITE SUBSETP-OF-CDR))
 (10 10 (:REWRITE SUBSETP-MEMBER . 4))
 (10 10 (:REWRITE SUBSETP-MEMBER . 3))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:REWRITE MEMBER-WHEN-ATOM))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 2))
 (10 10 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (10 10 (:REWRITE DEFAULT-<-2))
 (10 10 (:REWRITE DEFAULT-<-1))
 (10 5 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (9 3 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (6 6 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (6 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION FRAME-VAL))
 (4 4 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (3 3 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3))
 (3 3 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (2 2 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 )
(ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1
 (118958 413 (:DEFINITION MEMBER-EQUAL))
 (108267 978 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (106899 732 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (101338 516 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (74301 11 (:DEFINITION INTERSECTP-EQUAL))
 (59012 366 (:REWRITE REMOVE-WHEN-ABSENT))
 (46418 266 (:REWRITE SUBSETP-CAR-MEMBER))
 (42466 2081 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (34203 177 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (32392 175 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (30144 102 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (26458 175 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (25488 216 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (22248 216 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (20851 998 (:REWRITE SUBSETP-MEMBER . 4))
 (19872 108 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (19103 122 (:DEFINITION REMOVE-EQUAL))
 (17977 998 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (17325 434 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (16464 175 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (12110 12110 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (11594 566 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (10713 325 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (8767 940 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8753 266 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (7472 266 (:DEFINITION NATP))
 (7360 716 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6726 2242 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6644 2242 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (6202 1591 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5965 1591 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (5676 266 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (5216 2993 (:REWRITE DEFAULT-CDR))
 (5139 4035 (:REWRITE DEFAULT-CAR))
 (4900 4287 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4553 325 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (4536 216 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4536 216 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4359 175 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (4357 716 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4301 1173 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4287 4287 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4171 2664 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4162 4162 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4104 216 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3888 432 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3841 2171 (:REWRITE CONSP-OF-STRIP-CARS))
 (3834 175 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (3718 957 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3699 137 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT))
 (3689 3689 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (3688 3688 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3527 1332 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3466 718 (:DEFINITION STRIP-CARS))
 (3456 432 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3456 216 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (3348 324 (:DEFINITION ABS-ASSOC-DEFINITION))
 (3254 2081 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3104 266 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2935 566 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2932 998 (:REWRITE MEMBER-WHEN-ATOM))
 (2916 108 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (2600 325 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (2196 488 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (2196 488 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (2196 488 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (2160 540 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2100 175 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (2096 1464 (:REWRITE SUBSETP-MEMBER . 2))
 (1950 650 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1950 650 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1734 998 (:REWRITE INTERSECTP-MEMBER . 3))
 (1730 1730 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1591 1591 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1464 1464 (:REWRITE SUBSETP-MEMBER . 1))
 (1432 1432 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1365 1365 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1197 391 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1173 1173 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1138 1138 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1132 566 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1057 532 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1052 1052 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (998 998 (:REWRITE SUBSETP-MEMBER . 3))
 (998 998 (:REWRITE INTERSECTP-MEMBER . 2))
 (998 266 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (983 359 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (975 325 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (972 972 (:TYPE-PRESCRIPTION M1-FILE-P))
 (957 957 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (944 419 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (875 875 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (864 864 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (864 108 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (861 861 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (858 54 (:REWRITE SUBSETP-OF-REMOVE2))
 (838 838 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (804 108 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (759 759 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (751 361 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (734 2 (:REWRITE MEMBER-OF-REMOVE))
 (650 650 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (650 650 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (650 650 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (541 541 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (540 540 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (532 532 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (532 532 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (488 488 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (488 488 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (488 244 (:REWRITE SET-EQUIV-ASYM))
 (432 432 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (432 432 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (366 366 (:REWRITE SUBSETP-TRANS2))
 (366 366 (:REWRITE SUBSETP-TRANS))
 (350 350 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (325 325 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (325 325 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (324 324 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (315 14 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (308 287 (:REWRITE DEFAULT-<-2))
 (287 287 (:REWRITE DEFAULT-<-1))
 (276 276 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (266 266 (:TYPE-PRESCRIPTION NATP))
 (253 253 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (244 244 (:REWRITE SUBSETP-OF-CDR))
 (244 244 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (244 244 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (219 219 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (216 216 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (203 7 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (196 28 (:DEFINITION LEN))
 (196 7 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (182 182 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (182 182 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (182 182 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (177 177 (:REWRITE MEMBER-OF-STRIP-CARS))
 (177 177 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (175 175 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (175 14 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (125 125 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (109 109 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (84 84 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (72 72 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (71 71 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (66 66 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (63 21 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (63 21 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (56 28 (:REWRITE DEFAULT-+-2))
 (55 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (43 3 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (42 42 (:LINEAR LEN-WHEN-PREFIXP))
 (42 42 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (35 7 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (30 30 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (30 30 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (30 30 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (30 30 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (30 30 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (29 29 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (28 28 (:REWRITE DEFAULT-+-1))
 (28 7 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (22 22 (:REWRITE INTERSECTP-MEMBER . 1))
 (21 21 (:LINEAR POSITION-WHEN-MEMBER))
 (21 21 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (16 3 (:DEFINITION ATOM))
 (14 14 (:TYPE-PRESCRIPTION PREFIXP))
 (14 14 (:TYPE-PRESCRIPTION NFIX))
 (14 14 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (14 14 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (14 14 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (14 14 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (13 13 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (8 1 (:REWRITE SET-EQUIV-OF-NIL))
 (6 6 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (3 3 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-2
 (3620 1 (:DEFINITION ABS-SEPARATE))
 (3547 2 (:DEFINITION DIST-NAMES))
 (1632 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1254 54 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1246 28 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1164 28 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1133 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1079 22 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (953 15 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (804 118 (:DEFINITION LEN))
 (668 18 (:REWRITE LEN-WHEN-PREFIXP))
 (538 107 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (417 3 (:DEFINITION NTHCDR))
 (376 5 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (333 3 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (288 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (283 8 (:REWRITE NFIX-WHEN-ZP))
 (283 6 (:REWRITE ZP-OPEN))
 (244 202 (:REWRITE DEFAULT-CDR))
 (240 122 (:REWRITE DEFAULT-+-2))
 (237 79 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (234 234 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (204 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (201 18 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (158 79 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (156 52 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (156 52 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (142 48 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (141 6 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (138 20 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (122 122 (:REWRITE DEFAULT-+-1))
 (118 1 (:DEFINITION MEMBER-EQUAL))
 (110 110 (:LINEAR LEN-WHEN-PREFIXP))
 (106 3 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (104 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (101 13 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (94 94 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (89 25 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (88 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (87 3 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (83 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (82 6 (:DEFINITION NATP))
 (81 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (78 78 (:REWRITE DEFAULT-CAR))
 (72 41 (:REWRITE DEFAULT-<-2))
 (72 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (67 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (66 48 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (62 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (59 41 (:REWRITE DEFAULT-<-1))
 (56 2 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (54 54 (:TYPE-PRESCRIPTION PREFIXP))
 (52 52 (:LINEAR POSITION-WHEN-MEMBER))
 (52 52 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (52 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (52 7 (:DEFINITION ASSOC-EQUAL))
 (51 51 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (50 26 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (47 26 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (47 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (46 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (45 45 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (44 44 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (44 44 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (43 43 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (42 25 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (41 14 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (39 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (38 14 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (38 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (38 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (36 36 (:TYPE-PRESCRIPTION NAMES-AT))
 (34 4 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (34 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (30 21 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (30 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (30 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (28 28 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (28 28 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (28 28 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (28 28 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (26 26 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (26 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (25 25 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (24 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (22 13 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (21 21 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (20 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (18 9 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 9 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (16 16 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (16 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (15 6 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (14 14 (:REWRITE SUBSETP-TRANS2))
 (14 14 (:REWRITE SUBSETP-TRANS))
 (14 6 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (14 6 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (14 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (14 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (13 13 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 12 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (12 8 (:REWRITE NFIX-WHEN-NATP))
 (12 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (12 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (11 3 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (10 10 (:TYPE-PRESCRIPTION NFIX))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (7 1 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (6 6 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (6 3 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (6 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 5 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (5 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 1))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE MEMBER-WHEN-ATOM))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (1 1 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (1 1 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-3
 (51019 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (47400 243 (:DEFINITION PREFIXP))
 (35111 998 (:REWRITE LEN-WHEN-PREFIXP))
 (21099 998 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20488 3595 (:DEFINITION LEN))
 (16691 516 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (11370 761 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (10247 522 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (9792 9792 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (9717 1309 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (8638 1735 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (8322 1056 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (7688 465 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (7677 6437 (:REWRITE DEFAULT-CDR))
 (7300 3697 (:REWRITE DEFAULT-+-2))
 (6383 6 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (6318 136 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (6003 2001 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6003 2001 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (5516 317 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (5399 168 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (5375 830 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (5225 772 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (5193 1731 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5143 750 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5032 146 (:REWRITE NFIX-WHEN-ZP))
 (4962 173 (:REWRITE ZP-OPEN))
 (4823 3198 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4439 4282 (:LINEAR LEN-WHEN-PREFIXP))
 (3705 3697 (:REWRITE DEFAULT-+-1))
 (3683 1731 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (3582 1735 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (3460 1056 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3008 1056 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2941 1540 (:REWRITE DEFAULT-<-2))
 (2919 2902 (:REWRITE DEFAULT-CAR))
 (2682 894 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2618 2618 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2587 39 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (2538 1540 (:REWRITE DEFAULT-<-1))
 (2469 317 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (2341 52 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (2311 1735 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2309 707 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2256 1599 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2245 707 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2001 2001 (:LINEAR POSITION-WHEN-MEMBER))
 (2001 2001 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1919 74 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1856 516 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1850 317 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1767 248 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1717 1056 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1608 8 (:REWRITE EQUAL-OF-FRAME-VAL))
 (1589 1589 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (1588 516 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1420 1309 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1374 948 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1361 791 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1293 45 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (1052 516 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (937 737 (:REWRITE SUBSETP-TRANS2))
 (821 737 (:REWRITE SUBSETP-TRANS))
 (750 750 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (735 74 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (677 42 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (666 137 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (632 632 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (610 610 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (591 14 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (552 12 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (536 536 (:TYPE-PRESCRIPTION STRING-LISTP))
 (536 536 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (536 536 (:TYPE-PRESCRIPTION D-E-P))
 (536 536 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (536 268 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (516 516 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (432 4 (:REWRITE SUBSETP-APPEND1))
 (425 126 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (421 26 (:REWRITE SUBSETP-CAR-MEMBER))
 (386 13 (:DEFINITION MEMBER-EQUAL))
 (370 111 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (365 111 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (319 319 (:REWRITE CONSP-OF-LIST-FIX))
 (317 317 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (297 11 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (268 268 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (268 268 (:REWRITE SET::IN-SET))
 (231 11 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (225 126 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (200 52 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (198 11 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (197 137 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (196 70 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (194 194 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (164 11 (:REWRITE FRAME-VAL-FIX-WHEN-FRAME-VAL-P))
 (154 11 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (148 148 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (148 74 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (141 47 (:REWRITE COMMUTATIVITY-OF-+))
 (137 137 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (137 137 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (128 32 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (126 126 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (126 126 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (126 126 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (111 111 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (111 111 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (111 37 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (111 37 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (106 70 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (104 52 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (96 32 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (96 8 (:DEFINITION BINARY-APPEND))
 (88 88 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (84 10 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (80 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (77 77 (:REWRITE INTERSECTP-MEMBER . 1))
 (74 74 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (74 37 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (73 10 (:REWRITE DIST-NAMES-OF-PUT-ASSOC-EQUAL))
 (70 70 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (68 68 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (65 65 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (64 4 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-LEFT))
 (57 57 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (56 56 (:TYPE-PRESCRIPTION FRAME-VAL-FIX$INLINE))
 (56 56 (:TYPE-PRESCRIPTION CTX-APP))
 (52 26 (:REWRITE SET-EQUIV-ASYM))
 (48 16 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (48 8 (:REWRITE FRAME-VAL-P-OF-CDAR-WHEN-FRAME-P))
 (37 7 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (34 34 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (32 32 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (32 32 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (32 32 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (32 4 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-RIGHT))
 (32 4 (:REWRITE CONSP-OF-APPEND))
 (30 30 (:TYPE-PRESCRIPTION SET-EQUIV))
 (28 28 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (28 28 (:TYPE-PRESCRIPTION FRAME-VAL))
 (26 26 (:REWRITE SUBSETP-OF-CDR))
 (26 26 (:REWRITE SUBSETP-MEMBER . 2))
 (26 26 (:REWRITE SUBSETP-MEMBER . 1))
 (22 22 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (18 18 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 8 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 4 (:REWRITE NTH-WHEN-PREFIXP))
 (4 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 )
(ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-4
 (3474 1158 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (789 3 (:DEFINITION NTHCDR))
 (779 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (620 10 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (576 30 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (547 72 (:LINEAR LEN-WHEN-PREFIXP))
 (528 75 (:DEFINITION LEN))
 (433 6 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (430 54 (:DEFINITION ASSOC-EQUAL))
 (368 9 (:REWRITE ZP-OPEN))
 (367 11 (:REWRITE NFIX-WHEN-ZP))
 (241 184 (:REWRITE DEFAULT-CDR))
 (201 195 (:REWRITE DEFAULT-CAR))
 (156 156 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (156 81 (:REWRITE DEFAULT-+-2))
 (132 130 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (130 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (125 3 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (108 36 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (108 36 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (102 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (84 3 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (81 81 (:REWRITE DEFAULT-+-1))
 (79 3 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (78 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (72 72 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (68 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (54 1 (:REWRITE EQUAL-OF-FRAME-VAL))
 (42 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (40 25 (:REWRITE DEFAULT-<-2))
 (40 4 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (38 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (36 36 (:LINEAR POSITION-WHEN-MEMBER))
 (36 36 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (32 32 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (25 25 (:REWRITE DEFAULT-<-1))
 (25 1 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (24 24 (:TYPE-PRESCRIPTION NAMES-AT))
 (24 24 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (24 24 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (23 23 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (23 11 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (22 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (22 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (20 11 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (20 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (20 5 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (18 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (18 1 (:REWRITE DIST-NAMES-OF-PUT-ASSOC-EQUAL))
 (16 11 (:REWRITE NFIX-WHEN-NATP))
 (12 4 (:DEFINITION NATP))
 (11 3 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (11 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (10 5 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 8 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (8 4 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (8 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (7 7 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (7 7 (:TYPE-PRESCRIPTION CTX-APP))
 (7 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (6 3 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 1 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (6 1 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (3 3 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (1 1 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (1 1 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-5
 (189 63 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (126 63 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (124 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (110 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (39 39 (:REWRITE DEFAULT-CAR))
 (26 26 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (19 19 (:REWRITE DEFAULT-CDR))
 (6 2 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-1))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 )
(ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6
 (105 35 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (70 35 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (53 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (41 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (20 2 (:REWRITE DEFAULT-CDR))
 (20 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (17 17 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (11 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (9 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (7 1 (:DEFINITION ASSOC-EQUAL))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 3 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 2 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2 1 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(ABS-SEPARATE-OF-COLLAPSE-THIS-1
 (3256 29 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2760 920 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2379 31 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2346 34 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2340 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (2308 16 (:DEFINITION MEMBER-EQUAL))
 (1770 183 (:DEFINITION ASSOC-EQUAL))
 (1656 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (1435 40 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1406 24 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1364 40 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1255 2 (:DEFINITION REMOVE-EQUAL))
 (1225 177 (:DEFINITION LEN))
 (1172 31 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1152 10 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (1128 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (1102 76 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1099 25 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (962 45 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (898 25 (:REWRITE LEN-WHEN-PREFIXP))
 (750 717 (:REWRITE DEFAULT-CAR))
 (732 30 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (700 5 (:DEFINITION NTHCDR))
 (665 30 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (608 10 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (581 581 (:TYPE-PRESCRIPTION STRIP-CARS))
 (524 146 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (452 16 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (434 25 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (416 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (415 66 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (398 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (394 390 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (387 78 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (372 2 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (364 187 (:REWRITE DEFAULT-+-2))
 (314 20 (:REWRITE SUBSETP-CAR-MEMBER))
 (310 310 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (308 21 (:REWRITE NFIX-WHEN-ZP))
 (306 10 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (304 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (285 112 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (274 22 (:DEFINITION NATP))
 (259 1 (:REWRITE EQUAL-OF-FRAME-VAL))
 (232 24 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (225 3 (:REWRITE MEMBER-OF-STRIP-CARS))
 (218 218 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (207 69 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (207 69 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (206 109 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (200 32 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (187 187 (:REWRITE DEFAULT-+-1))
 (176 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (175 20 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (171 171 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (167 5 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (162 56 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (146 146 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (145 145 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (145 89 (:REWRITE DEFAULT-<-2))
 (144 144 (:LINEAR LEN-WHEN-PREFIXP))
 (144 10 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (123 32 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (114 89 (:REWRITE DEFAULT-<-1))
 (114 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (103 73 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (102 23 (:DEFINITION STRIP-CARS))
 (96 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (88 4 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (86 61 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (86 10 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (85 85 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (85 85 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (84 28 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (81 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (80 80 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (75 1 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-2))
 (73 73 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (72 26 (:REWRITE MEMBER-WHEN-ATOM))
 (72 7 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (69 69 (:LINEAR POSITION-WHEN-MEMBER))
 (69 69 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (68 35 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (67 67 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (67 62 (:REWRITE CONSP-OF-STRIP-CARS))
 (66 66 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (65 35 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (60 28 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (57 57 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (56 16 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (56 16 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (51 17 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (48 4 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (40 40 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (40 40 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (40 40 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (40 40 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (40 20 (:REWRITE SET-EQUIV-ASYM))
 (40 20 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (39 29 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (39 13 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (38 38 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (35 17 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (35 17 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (35 4 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (34 4 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (34 4 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (32 32 (:REWRITE SUBSETP-MEMBER . 2))
 (32 32 (:REWRITE SUBSETP-MEMBER . 1))
 (32 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (31 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (30 10 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (29 17 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (28 28 (:REWRITE SUBSETP-TRANS2))
 (28 28 (:REWRITE SUBSETP-TRANS))
 (28 16 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (28 16 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (26 26 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (26 26 (:REWRITE SUBSETP-MEMBER . 4))
 (26 26 (:REWRITE SUBSETP-MEMBER . 3))
 (26 26 (:REWRITE INTERSECTP-MEMBER . 3))
 (26 26 (:REWRITE INTERSECTP-MEMBER . 2))
 (26 13 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (25 25 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (24 4 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (20 20 (:TYPE-PRESCRIPTION SET-EQUIV))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (20 20 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (20 20 (:REWRITE SUBSETP-OF-CDR))
 (20 10 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (20 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (19 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (18 4 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (17 5 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (17 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (16 16 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (15 5 (:REWRITE COMMUTATIVITY-OF-+))
 (14 1 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (12 12 (:TYPE-PRESCRIPTION NAMES-AT))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (8 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (7 7 (:TYPE-PRESCRIPTION CTX-APP))
 (7 4 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (7 4 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 4 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 2 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 2 (:DEFINITION NULL))
 )
(ABS-SEPARATE-OF-COLLAPSE-THIS-2
 (1131 3 (:REWRITE REMOVE-WHEN-ABSENT))
 (1003 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (905 18 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (824 1 (:DEFINITION REMOVE-EQUAL))
 (678 4 (:DEFINITION MEMBER-EQUAL))
 (510 170 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (425 9 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (397 111 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (387 11 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (352 20 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (312 13 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (299 36 (:REWRITE DEFAULT-CDR))
 (177 20 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (145 17 (:DEFINITION ASSOC-EQUAL))
 (136 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (130 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (111 111 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (93 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (75 36 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (74 18 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (72 72 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (68 11 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (68 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (60 60 (:REWRITE DEFAULT-CAR))
 (36 36 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (31 31 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (24 8 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (22 11 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (21 6 (:REWRITE MEMBER-WHEN-ATOM))
 (20 20 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (20 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (17 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (16 8 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (15 5 (:DEFINITION NATP))
 (14 14 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (14 14 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (14 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (12 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (10 2 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (7 7 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE DEFAULT-<-2))
 (6 6 (:REWRITE DEFAULT-<-1))
 (5 5 (:TYPE-PRESCRIPTION NATP))
 (5 1 (:REWRITE NFIX-WHEN-NATP))
 (4 1 (:REWRITE NFIX-WHEN-ZP))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (2 2 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (1 1 (:REWRITE ZP-OPEN))
 )
(ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7
 (34617 177 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (19206 576 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (17903 86 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (17172 256 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (15502 3533 (:REWRITE DEFAULT-CDR))
 (14994 115 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (14480 295 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (13951 295 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (10606 1625 (:DEFINITION LEN))
 (10530 182 (:REWRITE LEN-WHEN-PREFIXP))
 (7620 43 (:DEFINITION NTHCDR))
 (7160 152 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (6724 119 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (6591 2197 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (6515 94 (:DEFINITION MEMBER-EQUAL))
 (6456 144 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (6090 402 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5957 86 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (5156 160 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4495 236 (:REWRITE SUBSETP-CAR-MEMBER))
 (4199 174 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4129 12 (:REWRITE REMOVE-WHEN-ABSENT))
 (3943 156 (:REWRITE NFIX-WHEN-ZP))
 (3614 174 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (3473 4 (:DEFINITION REMOVE-EQUAL))
 (3362 53 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (3336 1711 (:REWRITE DEFAULT-+-2))
 (3137 597 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (3102 3102 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2912 182 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2671 2608 (:REWRITE DEFAULT-CAR))
 (2503 45 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2393 13 (:DEFINITION PUT-ASSOC-EQUAL))
 (2101 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (2081 297 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2073 691 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2073 691 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1940 470 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1927 126 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1925 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1711 1711 (:REWRITE DEFAULT-+-1))
 (1696 78 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1573 45 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1536 1536 (:LINEAR LEN-WHEN-PREFIXP))
 (1427 1427 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1398 86 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1328 9 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (1272 128 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1122 566 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (894 497 (:REWRITE DEFAULT-<-2))
 (893 402 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (804 804 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (804 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (710 410 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (691 691 (:LINEAR POSITION-WHEN-MEMBER))
 (691 691 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (679 497 (:REWRITE DEFAULT-<-1))
 (647 647 (:TYPE-PRESCRIPTION STRIP-CARS))
 (630 63 (:DEFINITION ALISTP))
 (629 470 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (581 581 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (566 566 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (555 555 (:REWRITE SUBSETP-TRANS2))
 (555 555 (:REWRITE SUBSETP-TRANS))
 (526 492 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (514 492 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (507 169 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (504 126 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (474 270 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (474 270 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (431 7 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (348 174 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (343 16 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (335 335 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (329 173 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (329 173 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (304 304 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (295 295 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (295 295 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (295 295 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (295 295 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (292 16 (:DEFINITION NATP))
 (272 4 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (256 256 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (256 128 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (252 252 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (252 252 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (248 1 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (246 130 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (233 233 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (204 10 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (196 196 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (196 196 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (193 193 (:REWRITE SUBSETP-MEMBER . 2))
 (193 193 (:REWRITE SUBSETP-MEMBER . 1))
 (193 106 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (186 6 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (168 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (152 152 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (144 36 (:DEFINITION STRIP-CARS))
 (138 18 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (129 43 (:REWRITE COMMUTATIVITY-OF-+))
 (126 126 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (120 120 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (115 34 (:REWRITE MEMBER-WHEN-ATOM))
 (114 24 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (112 10 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (110 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (106 53 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (98 98 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (84 3 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (80 8 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (76 8 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (72 72 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (69 53 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (65 3 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (63 63 (:REWRITE SUBSETP-REFL))
 (58 37 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (56 56 (:REWRITE CONSP-OF-STRIP-CARS))
 (56 4 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (45 6 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (42 12 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (42 12 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (40 4 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (39 39 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (38 26 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (36 18 (:REWRITE SET-EQUIV-ASYM))
 (34 34 (:REWRITE SUBSETP-MEMBER . 4))
 (34 34 (:REWRITE SUBSETP-MEMBER . 3))
 (34 34 (:REWRITE INTERSECTP-MEMBER . 3))
 (34 34 (:REWRITE INTERSECTP-MEMBER . 2))
 (32 4 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (29 20 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (28 10 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (28 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (27 27 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (24 24 (:TYPE-PRESCRIPTION NAMES-AT))
 (23 7 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (21 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (20 20 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (20 20 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (20 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (18 18 (:TYPE-PRESCRIPTION SET-EQUIV))
 (18 3 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (16 16 (:REWRITE SUBSETP-OF-CDR))
 (16 4 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (14 14 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (14 2 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (13 1 (:REWRITE DIST-NAMES-OF-REMOVE-ASSOC-2))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (10 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (9 3 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 8 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (8 8 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2 2 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(ABS-SEPARATE-OF-COLLAPSE-THIS
 (1394 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1096 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (967 13 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (918 63 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (912 7 (:DEFINITION MEMBER-EQUAL))
 (839 21 (:DEFINITION ASSOC-EQUAL))
 (776 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (710 5 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (571 85 (:REWRITE DEFAULT-CDR))
 (532 16 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (498 166 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (486 40 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (414 24 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (384 20 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (328 328 (:TYPE-PRESCRIPTION STRIP-CARS))
 (312 5 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (293 17 (:REWRITE SUBSETP-CAR-MEMBER))
 (279 6 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (220 45 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (198 36 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (178 107 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (160 7 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (152 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (151 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (140 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (138 7 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (134 1 (:DEFINITION NTHCDR))
 (126 126 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (124 112 (:REWRITE DEFAULT-CAR))
 (111 31 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (108 63 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (108 7 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (107 107 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (98 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (91 91 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (84 84 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (83 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (81 5 (:REWRITE ZP-OPEN))
 (68 16 (:DEFINITION STRIP-CARS))
 (68 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (53 4 (:REWRITE NFIX-WHEN-ZP))
 (52 52 (:TYPE-PRESCRIPTION ABS-FS-P))
 (51 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (44 44 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (36 36 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (36 5 (:DEFINITION LEN))
 (34 22 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (34 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (31 31 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (30 30 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (30 28 (:REWRITE CONSP-OF-STRIP-CARS))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (30 3 (:DEFINITION ALISTP))
 (25 25 (:REWRITE SUBSETP-TRANS2))
 (25 25 (:REWRITE SUBSETP-TRANS))
 (24 6 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (24 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (22 22 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (20 20 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (20 20 (:LINEAR LEN-WHEN-PREFIXP))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20 11 (:REWRITE DEFAULT-<-2))
 (20 8 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (20 8 (:REWRITE MEMBER-WHEN-ATOM))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (14 14 (:REWRITE SUBSETP-MEMBER . 2))
 (14 14 (:REWRITE SUBSETP-MEMBER . 1))
 (14 7 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (12 12 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (12 12 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (12 7 (:REWRITE DEFAULT-+-2))
 (11 11 (:REWRITE DEFAULT-<-1))
 (11 11 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (10 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION SET-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (7 7 (:REWRITE DEFAULT-+-1))
 (7 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (7 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (6 6 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (6 4 (:REWRITE NFIX-WHEN-NATP))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (3 3 (:REWRITE SUBSETP-REFL))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 )
(FRAME-ADDRS-ROOT
 (9 9 (:REWRITE DEFAULT-CAR))
 (7 7 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 1 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1 1 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1 1 (:REWRITE SUBSETP-TRANS2))
 (1 1 (:REWRITE SUBSETP-TRANS))
 )
(FRAME-ADDRS-ROOT-OF-PUT-ASSOC
 (1059 353 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (706 353 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (246 12 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (215 192 (:REWRITE DEFAULT-CAR))
 (148 90 (:REWRITE DEFAULT-CDR))
 (134 86 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (24 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (8 8 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (8 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(FRAME-ADDRS-ROOT-CORRECTNESS-2
 (3050 48 (:DEFINITION MEMBER-EQUAL))
 (2986 421 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2245 7 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1762 7 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1551 7 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1475 15 (:REWRITE SUBSETP-OF-CONS))
 (1154 71 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (989 48 (:REWRITE SUBSETP-CAR-MEMBER))
 (864 53 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (656 31 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (555 336 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (547 336 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (543 14 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (475 37 (:DEFINITION NATP))
 (403 43 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (388 14 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (362 362 (:REWRITE SUBSETP-TRANS2))
 (362 362 (:REWRITE SUBSETP-TRANS))
 (308 14 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (213 171 (:REWRITE DEFAULT-CAR))
 (205 5 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (186 62 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (178 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (174 14 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (168 14 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (163 41 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (162 6 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (153 153 (:REWRITE CONSP-OF-STRIP-CARS))
 (150 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (146 28 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (146 28 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (146 28 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (145 11 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (140 119 (:REWRITE DEFAULT-CDR))
 (140 2 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (134 62 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (128 5 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (120 120 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (120 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (119 60 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (108 108 (:REWRITE SUBSETP-MEMBER . 2))
 (100 12 (:DEFINITION ASSOC-EQUAL))
 (96 96 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (95 5 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (88 26 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (88 10 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (86 86 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (85 15 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (82 20 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (73 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (72 12 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (70 70 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (66 66 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (66 7 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (64 64 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (64 64 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (64 64 (:REWRITE SUBSETP-MEMBER . 4))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 3))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 2))
 (63 50 (:REWRITE DEFAULT-<-2))
 (56 14 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (50 50 (:REWRITE DEFAULT-<-1))
 (49 28 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (48 8 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (48 8 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (44 44 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (44 44 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (44 4 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (43 43 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (40 40 (:TYPE-PRESCRIPTION ABS-FS-P))
 (40 20 (:REWRITE SET-EQUIV-ASYM))
 (37 37 (:TYPE-PRESCRIPTION NATP))
 (35 35 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (33 33 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (32 4 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (31 31 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (30 30 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (30 5 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (28 28 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (28 28 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (26 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (22 22 (:TYPE-PRESCRIPTION SET-EQUIV))
 (22 22 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (22 22 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (22 22 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (20 20 (:REWRITE SUBSETP-OF-CDR))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (10 10 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (10 10 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (10 5 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7 7 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (7 7 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE SUBSETP-NIL))
 (1 1 (:REWRITE SET-EQUIV-OF-NIL))
 )
(FRAME-ADDRS-ROOT-OF-REMOVE-ASSOC
 (654 30 (:DEFINITION MEMBER-EQUAL))
 (442 10 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (400 10 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (390 46 (:DEFINITION ASSOC-EQUAL))
 (323 318 (:REWRITE DEFAULT-CAR))
 (264 123 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (260 60 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (252 6 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (240 10 (:REWRITE MEMBER-OF-STRIP-CARS))
 (205 205 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (200 196 (:REWRITE DEFAULT-CDR))
 (174 12 (:REWRITE SUBSETP-CAR-MEMBER))
 (154 38 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (150 50 (:DEFINITION NATP))
 (122 122 (:TYPE-PRESCRIPTION LEN))
 (92 71 (:REWRITE DEFAULT-<-2))
 (78 1 (:REWRITE MEMBER-OF-CONS))
 (72 6 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (71 71 (:REWRITE DEFAULT-<-1))
 (63 63 (:TYPE-PRESCRIPTION NATP))
 (62 62 (:REWRITE SUBSETP-MEMBER . 2))
 (62 62 (:REWRITE SUBSETP-MEMBER . 1))
 (50 50 (:REWRITE SUBSETP-MEMBER . 4))
 (50 50 (:REWRITE SUBSETP-MEMBER . 3))
 (50 50 (:REWRITE INTERSECTP-MEMBER . 3))
 (50 50 (:REWRITE INTERSECTP-MEMBER . 2))
 (50 10 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (44 44 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (42 42 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (42 42 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (40 10 (:DEFINITION STRIP-CARS))
 (36 36 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (24 12 (:REWRITE SET-EQUIV-ASYM))
 (20 20 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (20 20 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 12 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 12 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE SUBSETP-TRANS2))
 (8 8 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (6 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 )
(MEMBER-OF-FRAME-ADDRS-ROOT
 (4622 57 (:DEFINITION MEMBER-EQUAL))
 (4226 99 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (3364 14 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2856 952 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2524 33 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (2450 100 (:REWRITE SUBSETP-CAR-MEMBER))
 (2342 14 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2341 61 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1960 314 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1910 952 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1755 66 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1661 180 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1647 89 (:DEFINITION NATP))
 (1464 63 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1313 180 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1116 66 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (865 50 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (624 66 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (600 28 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (519 26 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (483 89 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (439 205 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (434 76 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (434 76 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (434 76 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (382 205 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (380 273 (:REWRITE DEFAULT-CAR))
 (366 366 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (360 360 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (338 91 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (336 56 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (335 184 (:REWRITE DEFAULT-CDR))
 (308 28 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (266 14 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (245 245 (:REWRITE CONSP-OF-STRIP-CARS))
 (224 28 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (214 214 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (214 214 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (213 213 (:REWRITE SUBSETP-TRANS2))
 (213 213 (:REWRITE SUBSETP-TRANS))
 (189 132 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (188 188 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (188 188 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (188 188 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (180 180 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (180 66 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (178 178 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (168 28 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (168 28 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (168 28 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (168 28 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (168 28 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (168 28 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (159 159 (:TYPE-PRESCRIPTION ABS-FS-P))
 (148 2 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (140 140 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (132 132 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (132 132 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (131 110 (:REWRITE DEFAULT-<-2))
 (122 122 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (119 119 (:REWRITE SUBSETP-MEMBER . 2))
 (110 110 (:REWRITE DEFAULT-<-1))
 (94 94 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (94 94 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (94 94 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (91 91 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (89 89 (:TYPE-PRESCRIPTION NATP))
 (87 87 (:REWRITE SUBSETP-MEMBER . 4))
 (87 87 (:REWRITE INTERSECTP-MEMBER . 3))
 (87 87 (:REWRITE INTERSECTP-MEMBER . 2))
 (84 14 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (82 1 (:REWRITE SUBSETP-OF-CONS))
 (76 38 (:REWRITE SET-EQUIV-ASYM))
 (63 52 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (52 52 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (39 39 (:TYPE-PRESCRIPTION SET-EQUIV))
 (38 38 (:REWRITE SUBSETP-OF-CDR))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (28 14 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (18 18 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (18 18 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (18 18 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (18 15 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (14 14 (:TYPE-PRESCRIPTION NULL))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(FRAME-ADDRS-ROOT-OF-TRUE-LIST-FIX
 (1366 16 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1094 32 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (738 48 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (678 30 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (550 76 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (546 36 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (406 16 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (304 48 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (156 156 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (156 156 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (152 152 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (132 20 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (128 16 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (112 32 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (98 18 (:DEFINITION LEN))
 (96 32 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (80 80 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (76 76 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (64 64 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (64 32 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (60 60 (:TYPE-PRESCRIPTION ABS-FS-P))
 (52 52 (:REWRITE DEFAULT-CDR))
 (48 48 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (42 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (42 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (40 20 (:REWRITE DEFAULT-+-2))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (32 32 (:TYPE-PRESCRIPTION STRING-LISTP))
 (32 32 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (32 32 (:TYPE-PRESCRIPTION D-E-P))
 (32 32 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (32 32 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (32 16 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (28 28 (:REWRITE DEFAULT-CAR))
 (28 28 (:LINEAR LEN-WHEN-PREFIXP))
 (28 28 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20 20 (:REWRITE DEFAULT-+-1))
 (16 16 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (16 16 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (16 16 (:REWRITE SET::IN-SET))
 (16 8 (:REWRITE DEFAULT-<-2))
 (14 14 (:LINEAR POSITION-WHEN-MEMBER))
 (14 14 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (8 8 (:REWRITE DEFAULT-<-1))
 )
(LIST-EQUIV-IMPLIES-EQUAL-FRAME-ADDRS-ROOT-1
 (45 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (28 2 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (24 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (12 1 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (9 1 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (9 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (7 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (6 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5 1 (:DEFINITION LEN))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION STRING-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 2 (:LINEAR LEN-WHEN-PREFIXP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1 1 (:REWRITE SET::IN-SET))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS
 (840 97 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (664 7 (:REWRITE SUBSETP-OF-CONS))
 (346 10 (:REWRITE SUBSETP-CAR-MEMBER))
 (232 4 (:DEFINITION MEMBER-EQUAL))
 (190 75 (:REWRITE SUBSETP-TRANS))
 (167 64 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (163 64 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (118 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (111 111 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (103 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (61 61 (:REWRITE DEFAULT-CAR))
 (55 55 (:TYPE-PRESCRIPTION STRIP-CARS))
 (45 45 (:REWRITE DEFAULT-CDR))
 (45 4 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (36 36 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (30 10 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (30 10 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (27 27 (:REWRITE CONSP-OF-STRIP-CARS))
 (21 21 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (20 2 (:DEFINITION ASSOC-EQUAL))
 (16 8 (:REWRITE DEFAULT-<-2))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (12 12 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 2 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (10 10 (:TYPE-PRESCRIPTION ZP))
 (10 10 (:TYPE-PRESCRIPTION LEN))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (8 8 (:REWRITE DEFAULT-<-1))
 (8 4 (:DEFINITION NULL))
 (4 4 (:TYPE-PRESCRIPTION NULL))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 1 (:REWRITE MEMBER-OF-CONS))
 (1 1 (:REWRITE MEMBER-OF-CAR))
 )
(FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1
 (453 151 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (39 5 (:DEFINITION ASSOC-EQUAL))
 (29 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (28 1 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (15 15 (:REWRITE DEFAULT-CAR))
 (14 2 (:DEFINITION LEN))
 (10 10 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (5 3 (:REWRITE DEFAULT-<-2))
 (5 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (4 4 (:LINEAR LEN-WHEN-PREFIXP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE DEFAULT-+-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 1 (:DEFINITION NATP))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 )
(FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2
 (3268 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (2517 839 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2192 16 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2048 8 (:DEFINITION MEMBER-EQUAL))
 (1859 25 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1784 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (1621 24 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1168 93 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1064 32 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1040 106 (:DEFINITION ASSOC-EQUAL))
 (1033 12 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (992 59 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (903 12 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (768 40 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (736 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (729 76 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (656 656 (:TYPE-PRESCRIPTION STRIP-CARS))
 (615 289 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (598 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (568 16 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (534 475 (:REWRITE DEFAULT-CAR))
 (517 13 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (480 32 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (474 24 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (472 40 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (462 21 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (460 85 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (455 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (441 62 (:DEFINITION LEN))
 (420 20 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (340 5 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (332 332 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (312 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (305 23 (:REWRITE NFIX-WHEN-ZP))
 (304 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (280 8 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (271 1 (:REWRITE EQUAL-OF-FRAME-VAL))
 (268 268 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (258 258 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (256 129 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (231 77 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (231 77 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (230 226 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (223 24 (:REWRITE LEN-WHEN-PREFIXP))
 (212 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (211 59 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (208 8 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (196 1 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (192 18 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (192 1 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (171 3 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (169 169 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (168 40 (:DEFINITION STRIP-CARS))
 (168 8 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (154 154 (:LINEAR LEN-WHEN-PREFIXP))
 (154 154 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (148 85 (:REWRITE DEFAULT-<-2))
 (141 6 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (136 74 (:REWRITE DEFAULT-+-2))
 (136 16 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (131 2 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (109 85 (:REWRITE DEFAULT-<-1))
 (105 37 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (92 92 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (90 27 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (85 85 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (77 77 (:LINEAR POSITION-WHEN-MEMBER))
 (77 77 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (74 74 (:REWRITE DEFAULT-+-1))
 (68 8 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (64 64 (:TYPE-PRESCRIPTION NATP))
 (64 40 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (60 56 (:REWRITE CONSP-OF-STRIP-CARS))
 (59 59 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (52 20 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (52 20 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (50 50 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (50 50 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (48 48 (:TYPE-PRESCRIPTION PREFIXP))
 (48 48 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (48 3 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (47 47 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (44 44 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (43 1 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (41 2 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (40 40 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (40 40 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (40 16 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (40 16 (:REWRITE MEMBER-WHEN-ATOM))
 (36 18 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (34 12 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (33 9 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (32 16 (:REWRITE SET-EQUIV-ASYM))
 (32 12 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (31 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (28 28 (:REWRITE SUBSETP-TRANS2))
 (28 28 (:REWRITE SUBSETP-TRANS))
 (28 1 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (27 9 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (27 9 (:DEFINITION NATP))
 (25 25 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (24 24 (:TYPE-PRESCRIPTION SET-EQUIV))
 (22 1 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (21 21 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (20 20 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (20 5 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (20 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (18 9 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (16 16 (:REWRITE SUBSETP-OF-CDR))
 (16 16 (:REWRITE SUBSETP-MEMBER . 4))
 (16 16 (:REWRITE SUBSETP-MEMBER . 3))
 (16 16 (:REWRITE SUBSETP-MEMBER . 2))
 (16 16 (:REWRITE SUBSETP-MEMBER . 1))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 2))
 (16 10 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (15 3 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (13 7 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (13 5 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (12 12 (:TYPE-PRESCRIPTION NAMES-AT))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (12 12 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (12 12 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (11 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (8 8 (:TYPE-PRESCRIPTION DIST-NAMES))
 (8 8 (:REWRITE SUBSETP-REFL))
 (8 8 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (8 8 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (7 7 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (6 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (5 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (5 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (5 1 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (4 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (4 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (4 1 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2 2 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1
 (224 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (212 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (201 67 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (150 2 (:DEFINITION REMOVE-EQUAL))
 (136 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (130 32 (:REWRITE DEFAULT-CDR))
 (122 14 (:DEFINITION ASSOC-EQUAL))
 (98 5 (:DEFINITION MEMBER-EQUAL))
 (86 1 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (83 5 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (64 1 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (59 59 (:REWRITE DEFAULT-CAR))
 (53 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (51 11 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (48 1 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (41 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (36 12 (:DEFINITION NATP))
 (32 32 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (30 1 (:REWRITE MEMBER-OF-STRIP-CARS))
 (26 26 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (21 21 (:TYPE-PRESCRIPTION NATP))
 (21 21 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (21 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (13 10 (:REWRITE MEMBER-WHEN-ATOM))
 (12 12 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (12 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:REWRITE DEFAULT-<-1))
 (12 12 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (11 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:REWRITE SUBSETP-MEMBER . 4))
 (10 10 (:REWRITE SUBSETP-MEMBER . 3))
 (10 10 (:REWRITE SUBSETP-MEMBER . 2))
 (10 10 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 2))
 (10 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (6 2 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (6 1 (:DEFINITION STRIP-CARS))
 (5 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (5 1 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (5 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (4 4 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3 1 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:DEFINITION NULL))
 (2 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(ABS-SEPARATE-CORRECTNESS-LEMMA-3
 (466139 23476 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (362622 5593 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (353470 3987 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P-LEMMA-2))
 (313147 2880 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (291358 9505 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (271340 11522 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (215697 2661 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (209296 9415 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (164370 6028 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (156837 786 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (156295 4845 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (149365 5497 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (127800 986 (:DEFINITION BINARY-APPEND))
 (127234 384 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (122295 5852 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (120861 78 (:REWRITE ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL))
 (115044 1972 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (97634 7364 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (86271 5369 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL-LEMMA-2))
 (84086 6420 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (76636 3539 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (74491 4045 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (73688 2259 (:REWRITE ABS-ADDRS-WHEN-ABSFAT-EQUIV-LEMMA-1))
 (60806 7364 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (57496 25984 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (56152 3987 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (55663 767 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (53589 78 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1))
 (48824 1160 (:DEFINITION UNSIGNED-BYTE-P))
 (48314 48314 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (48207 43884 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (47672 1160 (:DEFINITION INTEGER-RANGE-P))
 (40628 5497 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (40320 1920 (:REWRITE LENGTH-WHEN-STRINGP))
 (38073 5241 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (30828 9816 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (30405 7816 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (27914 27914 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (27004 24157 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (26979 691 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (26256 3868 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (25987 5497 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (25761 25761 (:TYPE-PRESCRIPTION M1-FILE-P))
 (25588 840 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (24960 1920 (:DEFINITION LEN))
 (24549 8103 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (24400 7896 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (24309 8103 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (22754 7647 (:REWRITE SUBSETP-TRANS))
 (22630 22630 (:TYPE-PRESCRIPTION ABS-FS-P))
 (22328 1152 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (21695 179 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (21393 570 (:REWRITE SUBSETP-CAR-MEMBER))
 (19787 7945 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (18718 355 (:DEFINITION MEMBER-EQUAL))
 (18114 919 (:REWRITE NFIX-WHEN-ZP))
 (17538 26 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (16338 363 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (16265 876 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (16250 919 (:REWRITE ZP-OPEN))
 (15614 15614 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (13963 393 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (13324 18 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-RIGHT))
 (13092 12517 (:REWRITE DEFAULT-CAR))
 (12743 12743 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12708 12708 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12708 12708 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12690 2776 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (11801 919 (:REWRITE NFIX-WHEN-NATP))
 (11757 78 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (11309 3847 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (10988 10988 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (10936 478 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (10731 10731 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (10227 9 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (9807 836 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (9699 450 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (9295 23 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (9080 450 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (8832 3840 (:REWRITE STR::CONSP-OF-EXPLODE))
 (8252 8252 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (8252 8252 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (7788 24 (:REWRITE SUBSETP-OF-REMOVE1))
 (7456 7456 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (7350 15 (:REWRITE EQUAL-OF-ABS-FILE))
 (7290 78 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (6625 937 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (6593 69 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (6448 959 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (6297 30 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC))
 (6264 6264 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6252 6252 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (6015 4855 (:REWRITE DEFAULT-<-1))
 (5760 5760 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (5628 48 (:REWRITE CONSP-OF-APPEND))
 (5055 162 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (4974 72 (:REWRITE REMOVE-WHEN-ABSENT))
 (4926 234 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (4855 4855 (:REWRITE DEFAULT-<-2))
 (4777 409 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4682 4682 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (4608 4608 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4608 1920 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (4443 120 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (4374 937 (:DEFINITION NATP))
 (4338 468 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (4213 12 (:REWRITE SUBSETP-OF-CONS))
 (3840 1920 (:REWRITE DEFAULT-+-2))
 (3753 389 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (3750 78 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (3525 96 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (3482 832 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (3456 1152 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3456 1152 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2853 409 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (2802 24 (:DEFINITION REMOVE-EQUAL))
 (2726 286 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (2688 1920 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2341 2341 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (2328 39 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (2304 2304 (:LINEAR LEN-WHEN-PREFIXP))
 (2304 2304 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2220 657 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2023 805 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (2001 26 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (1987 1917 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1928 1928 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1920 1920 (:REWRITE DEFAULT-+-1))
 (1917 1917 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1917 1917 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1884 174 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (1770 45 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1669 373 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1629 409 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1584 15 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1520 1520 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (1392 600 (:DEFINITION NULL))
 (1374 1374 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-FIX-UNDER-FAT32-FILENAME-EQUIV))
 (1359 1359 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1353 268 (:REWRITE ABS-TOP-ADDRS-OF-PUT-ASSOC))
 (1314 78 (:REWRITE ABS-NO-DUPS-P-OF-CTX-APP-LEMMA-4))
 (1284 180 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1152 1152 (:LINEAR POSITION-WHEN-MEMBER))
 (1152 1152 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1086 1086 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (1065 105 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1021 959 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1020 3 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (992 992 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (963 963 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (937 937 (:TYPE-PRESCRIPTION NATP))
 (885 885 (:TYPE-PRESCRIPTION ATOM))
 (867 792 (:REWRITE SUBSETP-MEMBER . 2))
 (855 69 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (837 69 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (836 836 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (816 408 (:REWRITE SET-EQUIV-ASYM))
 (816 48 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (804 96 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (792 792 (:REWRITE SUBSETP-MEMBER . 1))
 (720 12 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (708 177 (:DEFINITION STRIP-CARS))
 (703 496 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (657 657 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (656 129 (:REWRITE ABSFAT-SUBSETP-OF-PUT-ASSOC-2))
 (600 600 (:TYPE-PRESCRIPTION NULL))
 (477 45 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (462 18 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (382 38 (:REWRITE ABSFAT-SUBSETP-OF-PUT-ASSOC-3))
 (382 38 (:REWRITE ABSFAT-SUBSETP-OF-PUT-ASSOC-1))
 (336 24 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (333 180 (:REWRITE MEMBER-WHEN-ATOM))
 (300 5 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (267 12 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (258 258 (:REWRITE SUBSETP-OF-CDR))
 (216 216 (:REWRITE CONSP-OF-STRIP-CARS))
 (210 45 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (210 21 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (207 207 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (204 18 (:REWRITE SUBSETP-OF-REMOVE2))
 (192 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-NAMES-AT-LEMMA-1))
 (180 180 (:REWRITE SUBSETP-MEMBER . 4))
 (180 180 (:REWRITE SUBSETP-MEMBER . 3))
 (180 180 (:REWRITE INTERSECTP-MEMBER . 3))
 (180 180 (:REWRITE INTERSECTP-MEMBER . 2))
 (165 165 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (165 165 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (165 165 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (165 165 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (162 27 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (162 18 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-LEFT))
 (156 156 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (156 24 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (156 24 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (156 24 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (147 42 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (144 144 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (139 5 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (120 15 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (108 108 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (108 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-REMOVE))
 (102 102 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (96 96 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (95 5 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE-LEMMA-2))
 (88 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (81 81 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (77 5 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (75 15 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (72 12 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (72 12 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (64 8 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-4))
 (60 60 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (60 60 (:TYPE-PRESCRIPTION ABS-FILE->D-E$INLINE))
 (60 5 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-3))
 (54 54 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (48 48 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (48 48 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (45 45 (:REWRITE MEMBER-OF-STRIP-CARS))
 (45 45 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (30 30 (:TYPE-PRESCRIPTION D-E-P))
 (30 30 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (24 24 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (24 24 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (24 24 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (20 20 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (15 15 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (13 2 (:REWRITE MEMBER-OF-PUT-ASSOC))
 (12 12 (:REWRITE SUBSETP-OF-REMOVE))
 (12 12 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (12 12 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (12 12 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (5 1 (:REWRITE MEMBER-OF-CONS))
 (4 1 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL))
 )
(ABS-SEPARATE-CORRECTNESS-1-LEMMA-3
 (33928 118 (:DEFINITION MEMBER-EQUAL))
 (28061 238 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (27464 89 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (26043 502 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (23952 176 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (21576 24 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (21410 34 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (21008 12 (:REWRITE EQUAL-OF-ABS-FILE))
 (20425 1076 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (19468 490 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (17457 372 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (16797 9 (:DEFINITION REMOVE-EQUAL))
 (16739 27 (:REWRITE REMOVE-WHEN-ABSENT))
 (15908 178 (:REWRITE SUBSETP-CAR-MEMBER))
 (15168 154 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (14636 217 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (11876 155 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (10962 62 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (10200 137 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (8746 34 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (7243 388 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (7006 167 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (6946 40 (:REWRITE ABS-ADDRS-OF-CTX-APP-LEMMA-6))
 (6664 823 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (5546 40 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (5189 233 (:DEFINITION NATP))
 (3864 178 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (3669 25 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (3152 25 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (3044 442 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2854 502 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (2612 414 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2565 366 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2478 2478 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2236 176 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2236 176 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2147 682 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2110 178 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (2110 178 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1956 298 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1935 645 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1777 1239 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1650 156 (:DEFINITION ASSOC-EQUAL))
 (1447 499 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1447 499 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1396 2 (:REWRITE CONSP-OF-APPEND))
 (1383 226 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (1350 270 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1327 442 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1198 4 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (1150 1150 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1118 446 (:REWRITE SUBSETP-TRANS2))
 (1082 231 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (1044 1044 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (985 985 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (846 846 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (826 826 (:REWRITE DEFAULT-CAR))
 (808 32 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (800 52 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-4))
 (756 80 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (710 364 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (682 682 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (659 659 (:REWRITE DEFAULT-CDR))
 (597 597 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (592 592 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (520 12 (:DEFINITION PUT-ASSOC-EQUAL))
 (516 258 (:REWRITE SET-EQUIV-ASYM))
 (508 176 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (474 474 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (474 474 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (445 445 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (420 64 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (420 4 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (405 405 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (356 356 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (356 356 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (356 356 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (340 340 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (330 226 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (320 20 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (305 305 (:TYPE-PRESCRIPTION SET-EQUIV))
 (286 26 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (275 25 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (270 270 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (254 6 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (251 236 (:REWRITE MEMBER-WHEN-ATOM))
 (238 238 (:REWRITE SUBSETP-MEMBER . 4))
 (238 238 (:REWRITE INTERSECTP-MEMBER . 3))
 (238 238 (:REWRITE INTERSECTP-MEMBER . 2))
 (237 237 (:REWRITE SUBSETP-MEMBER . 2))
 (234 47 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (233 233 (:TYPE-PRESCRIPTION NATP))
 (233 233 (:REWRITE DEFAULT-<-2))
 (233 233 (:REWRITE DEFAULT-<-1))
 (215 2 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (214 214 (:REWRITE SUBSETP-OF-CDR))
 (180 11 (:DEFINITION BINARY-APPEND))
 (178 178 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (172 10 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (168 168 (:TYPE-PRESCRIPTION NFIX))
 (156 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (148 148 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (140 140 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (134 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (132 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (128 7 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (128 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (105 21 (:REWRITE NFIX-WHEN-NATP))
 (101 25 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (90 30 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (85 17 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (84 21 (:REWRITE NFIX-WHEN-ZP))
 (70 70 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (66 50 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (55 55 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (50 50 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (48 48 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (48 48 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (47 47 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3))
 (42 6 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (38 38 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (36 18 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (36 12 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (36 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (36 4 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (32 32 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (32 32 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (32 32 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (30 30 (:TYPE-PRESCRIPTION ABS-FILE-FIX$INLINE))
 (24 2 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (22 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (21 21 (:REWRITE ZP-OPEN))
 (20 20 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (13 13 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (12 12 (:TYPE-PRESCRIPTION D-E-P))
 (12 12 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (12 12 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE->CONTENTS))
 (4 4 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (4 4 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 )
(ABS-SEPARATE-CORRECTNESS-LEMMA-7
 (89596 139 (:REWRITE REMOVE-WHEN-ABSENT))
 (74977 2425 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (65721 43 (:DEFINITION REMOVE-EQUAL))
 (55756 185 (:DEFINITION MEMBER-EQUAL))
 (51638 312 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (50035 1364 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (40622 487 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (32703 477 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (28631 202 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (27340 84 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (25950 557 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (24098 1131 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (23489 423 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (21668 533 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (13404 2307 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (10052 238 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (9715 284 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (9216 4076 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (9128 411 (:DEFINITION FAT32-FILENAME-LIST-P))
 (8412 14 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (8370 1117 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (8174 14 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (7632 14 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (6896 628 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (6738 186 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (6698 1131 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (6319 585 (:DEFINITION ASSOC-EQUAL))
 (5416 466 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (5295 1117 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (5236 28 (:REWRITE SUBSETP-CAR-MEMBER))
 (5194 230 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (5180 126 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4995 1665 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4942 28 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (4850 4850 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4788 56 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (4494 14 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (4370 14 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (4312 14 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (4242 14 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (4076 4076 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3412 388 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3339 202 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3339 202 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3171 3171 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3149 2981 (:REWRITE DEFAULT-CAR))
 (3086 57 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (3022 2425 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2990 230 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (2883 2883 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2830 37 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (2828 2828 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2624 1032 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2624 1032 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2530 1862 (:REWRITE DEFAULT-CDR))
 (2495 2495 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (2454 2454 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2382 2382 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2366 2366 (:TYPE-PRESCRIPTION STRIP-CARS))
 (2166 220 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2127 1131 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2112 349 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2074 14 (:REWRITE ABSFAT-SUBSETP-OF-REMOVE-2))
 (1940 388 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1802 1802 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1290 56 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (1233 441 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1193 901 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1170 1170 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (979 979 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (938 466 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (844 7 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (822 28 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (796 796 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (796 796 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (772 772 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (616 28 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (542 131 (:DEFINITION STRIP-CARS))
 (474 474 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (466 466 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (466 466 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (460 312 (:REWRITE MEMBER-WHEN-ATOM))
 (446 13 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (441 441 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (440 440 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (440 14 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (398 14 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (388 388 (:REWRITE SUBSETP-MEMBER . 2))
 (388 388 (:REWRITE SUBSETP-MEMBER . 1))
 (388 388 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (388 388 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (380 380 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (336 28 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (332 7 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (326 28 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (312 312 (:REWRITE SUBSETP-MEMBER . 4))
 (312 312 (:REWRITE SUBSETP-MEMBER . 3))
 (312 312 (:REWRITE INTERSECTP-MEMBER . 3))
 (312 312 (:REWRITE INTERSECTP-MEMBER . 2))
 (286 266 (:REWRITE CONSP-OF-STRIP-CARS))
 (280 280 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (244 7 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (230 230 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (220 220 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (214 214 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (204 56 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (204 56 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (204 56 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (112 28 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (98 56 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (96 14 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (84 84 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (70 70 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (70 28 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (70 28 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (56 56 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (56 56 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (56 56 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (56 56 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (56 56 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (56 56 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (56 28 (:REWRITE SET-EQUIV-ASYM))
 (48 42 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION SET-EQUIV))
 (42 42 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (42 42 (:REWRITE SUBSETP-TRANS2))
 (42 42 (:REWRITE SUBSETP-TRANS))
 (42 12 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (38 32 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (37 37 (:REWRITE DEFAULT-<-2))
 (37 37 (:REWRITE DEFAULT-<-1))
 (33 33 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (28 28 (:TYPE-PRESCRIPTION NATP))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (28 28 (:REWRITE SUBSETP-OF-CDR))
 (28 28 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (28 28 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE SUBSETP-REFL))
 (14 14 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (14 14 (:REWRITE MEMBER-OF-STRIP-CARS))
 (14 14 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (14 14 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (14 14 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (7 7 (:TYPE-PRESCRIPTION ABS-FILE-P))
 )
(ABS-SEPARATE-CORRECTNESS-1-LEMMA-11
 (273 91 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (265 9 (:REWRITE REMOVE-WHEN-ABSENT))
 (213 3 (:DEFINITION REMOVE-EQUAL))
 (148 26 (:TYPE-PRESCRIPTION CONSP-OF-ASSOC-OF-REMOVE))
 (144 8 (:DEFINITION MEMBER-EQUAL))
 (80 16 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (60 7 (:DEFINITION ASSOC-EQUAL))
 (48 16 (:DEFINITION NATP))
 (41 41 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (40 40 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (36 36 (:REWRITE DEFAULT-CAR))
 (28 2 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-LEMMA-1))
 (22 22 (:REWRITE DEFAULT-CDR))
 (16 16 (:TYPE-PRESCRIPTION NATP))
 (16 16 (:REWRITE SUBSETP-MEMBER . 4))
 (16 16 (:REWRITE SUBSETP-MEMBER . 3))
 (16 16 (:REWRITE SUBSETP-MEMBER . 2))
 (16 16 (:REWRITE SUBSETP-MEMBER . 1))
 (16 16 (:REWRITE MEMBER-WHEN-ATOM))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 2))
 (16 16 (:REWRITE DEFAULT-<-2))
 (16 16 (:REWRITE DEFAULT-<-1))
 (14 14 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7 1 (:DEFINITION BINARY-APPEND))
 (5 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (4 4 (:REWRITE ASSOC-OF-REMOVE))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3 3 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION NULL))
 (2 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 )
(ABS-SEPARATE-CORRECTNESS-1-LEMMA-15
 (10672 212 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (10236 118 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (9168 96 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (8026 114 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (7638 10 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (6852 70 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (5482 92 (:REWRITE LEN-WHEN-PREFIXP))
 (5270 88 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3494 194 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (3166 22 (:DEFINITION PREFIXP))
 (2706 408 (:DEFINITION LEN))
 (2152 2152 (:TYPE-PRESCRIPTION LEN))
 (1860 430 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1468 44 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (1024 1024 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1010 69 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (945 47 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (824 416 (:REWRITE DEFAULT-+-2))
 (798 118 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (720 44 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (680 650 (:REWRITE DEFAULT-CDR))
 (636 212 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (636 212 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (628 312 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (582 12 (:REWRITE ZP-OPEN))
 (578 12 (:REWRITE NFIX-WHEN-ZP))
 (536 34 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (514 10 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (510 198 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (448 78 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (447 69 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (436 436 (:LINEAR LEN-WHEN-PREFIXP))
 (416 416 (:REWRITE DEFAULT-+-1))
 (370 370 (:TYPE-PRESCRIPTION PREFIXP))
 (361 15 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (360 70 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (348 174 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (288 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (276 198 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (264 88 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (244 244 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (244 244 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (236 236 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (236 230 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (234 210 (:REWRITE DEFAULT-CAR))
 (233 123 (:REWRITE DEFAULT-<-2))
 (230 230 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (212 212 (:LINEAR POSITION-WHEN-MEMBER))
 (212 212 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (212 30 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (209 123 (:REWRITE DEFAULT-<-1))
 (200 152 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (176 110 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (174 34 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (166 166 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (164 24 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (154 44 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (153 61 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (153 61 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (132 44 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (124 118 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (114 114 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (114 114 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (114 114 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (114 114 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (102 102 (:TYPE-PRESCRIPTION NAMES-AT))
 (88 88 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (88 44 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (88 44 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (86 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (76 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (72 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (70 70 (:REWRITE SUBSETP-TRANS2))
 (70 70 (:REWRITE SUBSETP-TRANS))
 (69 69 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (66 66 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (44 44 (:TYPE-PRESCRIPTION STRING-LISTP))
 (44 44 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (44 44 (:TYPE-PRESCRIPTION D-E-P))
 (44 44 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (44 44 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (44 44 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (44 22 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (44 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (42 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (38 14 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (38 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (37 14 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (36 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (34 34 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (34 34 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (34 2 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (32 32 (:REWRITE CONSP-OF-LIST-FIX))
 (31 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (30 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (27 1 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (26 14 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (26 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (24 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (22 22 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (22 22 (:REWRITE SET::IN-SET))
 (22 15 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (22 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (20 14 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 12 (:REWRITE NFIX-WHEN-NATP))
 (16 16 (:TYPE-PRESCRIPTION NFIX))
 (16 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (16 2 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (15 5 (:DEFINITION NATP))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (14 14 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (14 6 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (14 6 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (12 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 (12 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (11 11 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (10 10 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (10 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (10 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (9 9 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 1))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (6 2 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 5 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-SEPARATE-CORRECTNESS-LEMMA-10
 (3514389 675 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3136669 1008 (:DEFINITION MEMBER-EQUAL))
 (2884766 117629 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1998541 3135 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1861387 63597 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1833964 136 (:REWRITE REMOVE-WHEN-ABSENT))
 (1820861 55216 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1548908 94579 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1309509 915 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (1308813 51 (:REWRITE SUBSETP-OF-CONS))
 (1201306 6874 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1148401 1480 (:REWRITE SUBSETP-TRANS2))
 (761796 1350 (:REWRITE SUBSETP-MEMBER . 4))
 (614612 1280 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (530580 92028 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (477291 384 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (386785 63 (:REWRITE SUBSETP-OF-REMOVE2))
 (328045 895 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (310985 271718 (:REWRITE DEFAULT-CDR))
 (294793 5376 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (280027 895 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (234606 234606 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (208763 727 (:REWRITE SUBSETP-CAR-MEMBER))
 (200043 76 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (191304 188998 (:REWRITE DEFAULT-CAR))
 (181178 503 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (177170 5295 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (150504 10930 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (146847 1538 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (142125 7730 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (141392 11532 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (138108 12736 (:DEFINITION LEN))
 (135742 135742 (:TYPE-PRESCRIPTION ABS-FS-P))
 (133909 1417 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (132662 1479 (:REWRITE SUBSETP-TRANS))
 (119371 117305 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (109720 7220 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (108538 27670 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (107687 5635 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (104629 308 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (101052 210 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (99020 219 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (93162 93162 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (92272 23068 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (87460 11532 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (81932 63498 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (74857 11144 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (73678 1923 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (67044 2694 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (62336 2694 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (62336 2694 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (60005 409 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (58609 270 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (58588 3922 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (57217 7844 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (57186 14934 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (56213 517 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (55579 345 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (55039 31497 (:REWRITE DEFAULT-<-1))
 (54233 144 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (51623 11 (:DEFINITION ABS-FILE-FIX$INLINE))
 (51608 5518 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (51393 346 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (49910 12 (:REWRITE MEMBER-OF-CONS))
 (46648 5478 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (46648 5478 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (46136 46136 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (38208 38208 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (37855 30600 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (36220 25472 (:REWRITE STR::CONSP-OF-EXPLODE))
 (35689 17591 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (31497 31497 (:REWRITE DEFAULT-<-2))
 (31032 1352 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (27654 2266 (:REWRITE SUBSETP-MEMBER . 2))
 (25472 12736 (:REWRITE DEFAULT-+-2))
 (23068 23068 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (23052 23052 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (23030 22286 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (22737 252 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (22286 22286 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (22286 22286 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (21302 15300 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (21126 21126 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (21126 21126 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (17684 17684 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (17188 17188 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (17188 17188 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16434 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-36))
 (16335 11 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (15558 15558 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (13021 13021 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
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 (12736 12736 (:REWRITE DEFAULT-+-1))
 (12494 11144 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
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 (10514 5295 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (9444 9444 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
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 (8648 8594 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (8648 8594 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (7406 255 (:REWRITE NFIX-WHEN-ZP))
 (7208 2361 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (7083 2361 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (7083 2361 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (7013 7013 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6896 255 (:REWRITE ZP-OPEN))
 (6819 206 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (6446 555 (:DEFINITION ASSOC-EQUAL))
 (6397 219 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (6397 116 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (6000 2130 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (5639 3251 (:REWRITE CONSP-OF-STRIP-CARS))
 (5550 254 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (5177 206 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (5117 5117 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4960 530 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4722 4722 (:LINEAR LEN-WHEN-PREFIXP))
 (4722 4722 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4361 2266 (:REWRITE SUBSETP-MEMBER . 1))
 (4302 844 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (4302 844 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (4302 844 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (3546 252 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (3345 1115 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3136 1336 (:REWRITE MEMBER-WHEN-ATOM))
 (3054 397 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (2949 2949 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2777 2777 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2632 633 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2608 434 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (2567 6 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (2560 1246 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2534 270 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (2533 1246 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2433 517 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (2428 4 (:REWRITE MEMBER-OF-REMOVE))
 (2362 471 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (2361 2361 (:LINEAR POSITION-WHEN-MEMBER))
 (2361 2361 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1882 1882 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1411 471 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1350 1350 (:REWRITE SUBSETP-MEMBER . 3))
 (1350 1350 (:REWRITE INTERSECTP-MEMBER . 3))
 (1350 1350 (:REWRITE INTERSECTP-MEMBER . 2))
 (1246 1246 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (1160 580 (:REWRITE SET-EQUIV-ASYM))
 (1095 1095 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (1016 254 (:DEFINITION NFIX))
 (1005 333 (:REWRITE MEMBER-OF-STRIP-CARS))
 (845 517 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (782 782 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (744 744 (:TYPE-PRESCRIPTION SET-EQUIV))
 (710 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (676 676 (:TYPE-PRESCRIPTION NATP))
 (623 623 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (556 556 (:REWRITE SUBSETP-OF-CDR))
 (553 553 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (552 552 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (434 434 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (429 11 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (350 217 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (313 313 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (311 1 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (269 242 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (266 266 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (264 264 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (217 217 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (206 206 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (182 182 (:REWRITE SUBSETP-REFL))
 (179 61 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (142 142 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (55 11 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (44 44 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (28 28 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (27 27 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (27 27 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (27 27 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (27 27 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (21 21 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE-CONTENTS-FIX))
 (12 3 (:DEFINITION NULL))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (8 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-5))
 (4 4 (:REWRITE SUBSETP-OF-REMOVE))
 (3 3 (:TYPE-PRESCRIPTION NULL))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE))
 )
(LEMMA
 (2988 996 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1190 14 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1014 996 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (984 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (980 12 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (930 10 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (902 4 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (740 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (707 71 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (546 35 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (432 4 (:DEFINITION MEMBER-EQUAL))
 (416 8 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (394 8 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (319 27 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (296 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (262 2 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (260 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (203 44 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (200 8 (:DEFINITION NATP))
 (190 22 (:DEFINITION ASSOC-EQUAL))
 (188 56 (:REWRITE DEFAULT-CDR))
 (176 8 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (172 8 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (144 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (138 44 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (138 12 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (131 38 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (128 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (126 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (122 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (86 4 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (80 80 (:REWRITE DEFAULT-CAR))
 (80 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (80 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (79 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (74 2 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (68 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (64 6 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (54 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (48 48 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (48 6 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (42 42 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (39 39 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (38 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (32 14 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (28 28 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (26 13 (:REWRITE SET-EQUIV-ASYM))
 (26 12 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (25 25 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (24 24 (:TYPE-PRESCRIPTION NAMES-AT))
 (24 24 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (24 8 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (20 4 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (18 18 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (16 16 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16 16 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (16 16 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (16 16 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (14 14 (:TYPE-PRESCRIPTION SET-EQUIV))
 (14 14 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (14 4 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (13 13 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION DIST-NAMES))
 (12 12 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (12 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (12 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (10 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (10 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (8 8 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE SUBSETP-MEMBER . 4))
 (8 8 (:REWRITE SUBSETP-MEMBER . 3))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (8 8 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (8 8 (:REWRITE MEMBER-WHEN-ATOM))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE DEFAULT-<-1))
 (8 8 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (8 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (8 4 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 4 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (8 4 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (6 6 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (6 6 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (6 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (4 4 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (4 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (3 3 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (3 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (2 2 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (1 1 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-3))
 )
(ABS-SEPARATE-CORRECTNESS-LEMMA-5
 (139092 479 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (131320 1502 (:DEFINITION ASSOC-EQUAL))
 (94031 346 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (88002 1138 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (68724 1377 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (61827 1425 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (60452 9108 (:DEFINITION LEN))
 (53645 14212 (:REWRITE DEFAULT-CDR))
 (45632 7461 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (44188 782 (:REWRITE LEN-WHEN-PREFIXP))
 (40003 174 (:DEFINITION NTHCDR))
 (36912 472 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (32284 346 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (21473 1159 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (20881 660 (:REWRITE NFIX-WHEN-ZP))
 (19014 27 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (18560 9452 (:REWRITE DEFAULT-+-2))
 (16383 526 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (15238 15238 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (14668 209 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (13980 32 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (12484 430 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (12232 78 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (11827 782 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (11804 153 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (11112 3704 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (10635 36 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (10587 3529 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (10587 3529 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (10156 7864 (:LINEAR LEN-WHEN-PREFIXP))
 (9452 9452 (:REWRITE DEFAULT-+-1))
 (7971 430 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (7734 82 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (7481 90 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (7452 8 (:DEFINITION PUT-ASSOC-EQUAL))
 (7283 48 (:DEFINITION MEMBER-EQUAL))
 (6689 34 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (6639 6477 (:REWRITE DEFAULT-CAR))
 (6003 1850 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (5924 16 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (5642 300 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (5127 571 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4383 38 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (4307 232 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3708 2043 (:REWRITE DEFAULT-<-2))
 (3638 14 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (3632 11 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (3619 1112 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3529 3529 (:LINEAR POSITION-WHEN-MEMBER))
 (3529 3529 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3344 3326 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3211 2230 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3179 88 (:REWRITE SUBSETP-CAR-MEMBER))
 (3174 8 (:REWRITE REMOVE-ASSOC-OF-REMOVE-ASSOC))
 (2825 2043 (:REWRITE DEFAULT-<-1))
 (2540 143 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2384 689 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2293 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (2287 80 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (2264 1229 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (2222 1229 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1969 60 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1905 1401 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1897 526 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1881 8 (:REWRITE EQUAL-OF-FRAME-VAL))
 (1794 1794 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1770 85 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (1702 882 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1683 561 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1678 21 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (1618 50 (:DEFINITION NATP))
 (1610 21 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (1597 882 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1588 32 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (1571 816 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (1555 72 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1504 290 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1488 8 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (1485 1389 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1452 102 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (1440 75 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1389 1389 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1377 1377 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1339 57 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (1305 88 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (1278 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (1268 50 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1242 34 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (1214 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (1135 312 (:REWRITE SUBSETP-TRANS))
 (1130 2 (:DEFINITION REMOVE-EQUAL))
 (1117 531 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1112 1112 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1052 1052 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (999 200 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (984 660 (:REWRITE NFIX-WHEN-NATP))
 (973 168 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (960 960 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (934 2 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (868 430 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (862 862 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (843 22 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (842 842 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (824 290 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (810 10 (:REWRITE MEMBER-OF-STRIP-CARS))
 (804 4 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (796 30 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (776 32 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (758 22 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (730 730 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (704 66 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (684 50 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (618 210 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (564 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (557 22 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (536 232 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (530 66 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (522 522 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (516 172 (:REWRITE COMMUTATIVITY-OF-+))
 (481 481 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (481 481 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (480 480 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (479 479 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (474 474 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (467 467 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (447 22 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (442 88 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (438 2 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (438 2 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (416 209 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (400 99 (:DEFINITION STRIP-CARS))
 (360 360 (:TYPE-PRESCRIPTION NAMES-AT))
 (352 16 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (352 4 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (314 10 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (281 281 (:TYPE-PRESCRIPTION CTX-APP))
 (280 4 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (272 57 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (245 30 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (239 239 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (232 18 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (217 217 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (208 104 (:REWRITE SET-EQUIV-ASYM))
 (206 206 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (200 200 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (192 16 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (180 180 (:TYPE-PRESCRIPTION DIST-NAMES))
 (174 172 (:REWRITE CONSP-OF-STRIP-CARS))
 (173 12 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (170 64 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (158 80 (:REWRITE MEMBER-WHEN-ATOM))
 (154 44 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (154 44 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (152 152 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (140 140 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (140 140 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (140 52 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (136 16 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (136 16 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (133 100 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (126 126 (:TYPE-PRESCRIPTION SET-EQUIV))
 (120 120 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (118 118 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (116 50 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (111 111 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (102 102 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (102 102 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (102 102 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (102 102 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (102 102 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (102 102 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (102 102 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (102 102 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (102 102 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (102 102 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (102 102 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (102 102 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (100 100 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (100 100 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (96 96 (:REWRITE SUBSETP-MEMBER . 2))
 (96 96 (:REWRITE SUBSETP-MEMBER . 1))
 (88 88 (:REWRITE SUBSETP-OF-CDR))
 (80 80 (:REWRITE SUBSETP-MEMBER . 4))
 (80 80 (:REWRITE SUBSETP-MEMBER . 3))
 (80 80 (:REWRITE INTERSECTP-MEMBER . 3))
 (80 80 (:REWRITE INTERSECTP-MEMBER . 2))
 (80 8 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (76 6 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (72 72 (:TYPE-PRESCRIPTION NATP))
 (72 16 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (70 14 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (68 68 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (68 68 (:REWRITE INTERSECTP-MEMBER . 1))
 (66 66 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (66 11 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (60 60 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (60 4 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (56 56 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 (52 52 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (52 52 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (50 44 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (48 16 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (48 16 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (44 44 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (44 44 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (44 44 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (44 2 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (42 42 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (40 8 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (32 32 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (32 32 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (32 4 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (30 12 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (28 28 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (28 14 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (28 14 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (24 16 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (24 12 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (24 12 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (23 23 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (22 22 (:REWRITE SUBSETP-REFL))
 (22 22 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (22 22 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (22 22 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (22 22 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (18 4 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (16 16 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (16 16 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (14 14 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (10 10 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (10 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (10 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (8 2 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (6 2 (:REWRITE CTX-APP-OF-ABS-FS-FIX-1))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 4 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (3 3 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (2 2 (:REWRITE FRAME-WITH-ROOT-OF-ABS-FS-FIX))
 )
(ABS-SEPARATE-CORRECTNESS-LEMMA-6
 (3279 1093 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3267 12 (:DEFINITION MEMBER-EQUAL))
 (3060 41 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2394 6 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1925 196 (:DEFINITION ASSOC-EQUAL))
 (1838 264 (:DEFINITION LEN))
 (1715 47 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1530 47 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1091 19 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1085 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1032 4 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (994 31 (:REWRITE LEN-WHEN-PREFIXP))
 (901 1 (:REWRITE EQUAL-OF-FRAME-VAL))
 (889 35 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (710 675 (:REWRITE DEFAULT-CAR))
 (604 314 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (578 39 (:REWRITE NFIX-WHEN-ZP))
 (546 282 (:REWRITE DEFAULT-+-2))
 (494 31 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (476 7 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (442 442 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (420 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (414 410 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (404 404 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (404 29 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (336 21 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (294 98 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (294 98 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (282 282 (:REWRITE DEFAULT-+-1))
 (270 6 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (242 29 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (237 59 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (212 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (208 208 (:LINEAR LEN-WHEN-PREFIXP))
 (207 124 (:REWRITE DEFAULT-<-2))
 (196 1 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (186 64 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (164 52 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (155 124 (:REWRITE DEFAULT-<-1))
 (141 6 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (131 2 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (127 7 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (118 118 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (117 75 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (108 22 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (105 12 (:REWRITE MEMBER-WHEN-ATOM))
 (102 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (98 98 (:LINEAR POSITION-WHEN-MEMBER))
 (98 98 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (90 3 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (87 62 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (86 86 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (86 86 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (84 84 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (78 37 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (76 76 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (75 37 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (75 25 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (67 30 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (62 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (59 59 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (57 30 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (51 17 (:DEFINITION NATP))
 (50 36 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (48 16 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (47 47 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (47 47 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (47 47 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (47 47 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (45 22 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (43 11 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (42 21 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (41 2 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (33 31 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (33 2 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (32 32 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (32 16 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (29 29 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (27 9 (:REWRITE COMMUTATIVITY-OF-+))
 (24 24 (:REWRITE SUBSETP-MEMBER . 2))
 (24 24 (:REWRITE SUBSETP-MEMBER . 1))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (22 1 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (20 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (18 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (18 6 (:DEFINITION NFIX))
 (18 1 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (17 17 (:TYPE-PRESCRIPTION NATP))
 (17 2 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (16 4 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (14 7 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION NAMES-AT))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE SUBSETP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (11 5 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (11 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (10 10 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (10 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (10 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (10 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (7 7 (:TYPE-PRESCRIPTION CTX-APP))
 (6 1 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (5 5 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (5 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (5 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (5 1 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (4 4 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (4 1 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1 1 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 )
(ABS-SEPARATE-CORRECTNESS-LEMMA-4
 (865 34 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (501 19 (:DEFINITION MEMBER-EQUAL))
 (359 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (240 66 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (227 11 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (223 37 (:REWRITE SUBSETP-MEMBER . 4))
 (207 69 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (182 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (167 167 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (165 2 (:DEFINITION REMOVE-EQUAL))
 (162 34 (:REWRITE MEMBER-WHEN-ATOM))
 (146 10 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (139 3 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (136 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (135 39 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (132 15 (:DEFINITION ASSOC-EQUAL))
 (125 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (122 53 (:REWRITE DEFAULT-CDR))
 (110 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (109 43 (:REWRITE SUBSETP-MEMBER . 2))
 (109 23 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (106 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (88 88 (:REWRITE DEFAULT-CAR))
 (84 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (83 19 (:REWRITE SUBSETP-TRANS2))
 (81 27 (:DEFINITION NATP))
 (72 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (66 66 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (54 15 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (53 5 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (49 15 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (43 1 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (42 7 (:DEFINITION STRIP-CARS))
 (41 41 (:REWRITE SUBSETP-MEMBER . 1))
 (37 37 (:REWRITE SUBSETP-MEMBER . 3))
 (37 37 (:REWRITE INTERSECTP-MEMBER . 3))
 (37 37 (:REWRITE INTERSECTP-MEMBER . 2))
 (34 34 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (28 4 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (28 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (28 2 (:REWRITE ABS-ADDRS-WHEN-ABSFAT-EQUIV-LEMMA-1))
 (27 27 (:REWRITE DEFAULT-<-2))
 (27 27 (:REWRITE DEFAULT-<-1))
 (25 25 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (24 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (22 5 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (21 1 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (17 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (15 15 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (15 15 (:REWRITE SUBSETP-TRANS))
 (13 13 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (13 13 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (13 13 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (11 11 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (11 11 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10 5 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (10 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (9 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (8 4 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 2 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (6 2 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (6 2 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 1 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (6 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (5 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (5 1 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (5 1 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (4 4 (:TYPE-PRESCRIPTION STRIP-CARS))
 (4 4 (:TYPE-PRESCRIPTION NULL))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (4 4 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (4 4 (:DEFINITION NULL))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (3 3 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (2 2 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (2 1 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 )
(ABS-SEPARATE-CORRECTNESS-LEMMA-9
 (387 129 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (186 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (142 26 (:REWRITE DEFAULT-CDR))
 (136 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (129 15 (:DEFINITION ASSOC-EQUAL))
 (85 3 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (65 2 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (56 4 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (53 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (51 51 (:REWRITE DEFAULT-CAR))
 (41 1 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (34 34 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (30 1 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (21 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11 11 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (11 3 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (10 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (7 3 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (6 2 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (6 2 (:DEFINITION NATP))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 3 (:REWRITE DEFAULT-<-2))
 (4 2 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (4 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (3 1 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (3 1 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1 1 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(ABS-SEPARATE-CORRECTNESS-LEMMA-11
 (3982 14 (:DEFINITION MEMBER-EQUAL))
 (3075 1025 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2550 15 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (2431 36 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1553 18 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1412 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1388 142 (:DEFINITION ASSOC-EQUAL))
 (1351 18 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1179 3 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (896 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (859 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (794 77 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (713 17 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (712 36 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (708 60 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (704 55 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (684 1 (:REWRITE EQUAL-OF-FRAME-VAL))
 (680 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (674 28 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (630 30 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (625 88 (:DEFINITION LEN))
 (616 573 (:REWRITE DEFAULT-CAR))
 (613 1 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (589 38 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (519 13 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (507 258 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (468 468 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (454 14 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (436 38 (:REWRITE NFIX-WHEN-ZP))
 (370 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (340 5 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (337 36 (:REWRITE LEN-WHEN-PREFIXP))
 (329 51 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (327 109 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (327 109 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (315 315 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (302 298 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (286 8 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (276 276 (:TYPE-PRESCRIPTION STRIP-CARS))
 (276 90 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (242 16 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (232 180 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (226 8 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (218 218 (:LINEAR LEN-WHEN-PREFIXP))
 (218 218 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (215 126 (:REWRITE DEFAULT-<-2))
 (198 2 (:DEFINITION PUT-ASSOC-EQUAL))
 (192 104 (:REWRITE DEFAULT-+-2))
 (192 1 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (177 9 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (176 57 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (164 47 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (163 47 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (162 126 (:REWRITE DEFAULT-<-1))
 (152 20 (:DEFINITION NATP))
 (152 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (141 49 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (140 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (138 138 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (127 2 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (123 6 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (120 24 (:DEFINITION STRIP-CARS))
 (116 12 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (115 51 (:REWRITE SUBSETP-TRANS))
 (109 109 (:LINEAR POSITION-WHEN-MEMBER))
 (109 109 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (108 18 (:REWRITE MEMBER-WHEN-ATOM))
 (105 5 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (104 104 (:REWRITE DEFAULT-+-1))
 (104 4 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (101 22 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (100 18 (:REWRITE SUBSETP-MEMBER . 4))
 (100 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (96 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (88 4 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (85 5 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (84 4 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (72 72 (:TYPE-PRESCRIPTION PREFIXP))
 (71 71 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (71 71 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (69 69 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (64 64 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (62 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (56 56 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (51 51 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (51 17 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (50 18 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (48 4 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (48 3 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (46 18 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (45 33 (:REWRITE CONSP-OF-STRIP-CARS))
 (43 1 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (42 21 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (41 2 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (37 37 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (37 9 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (34 34 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (34 17 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (34 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (32 7 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (30 30 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (28 28 (:REWRITE SUBSETP-MEMBER . 2))
 (28 28 (:REWRITE SUBSETP-MEMBER . 1))
 (28 8 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (28 8 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (26 16 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (24 8 (:REWRITE COMMUTATIVITY-OF-+))
 (22 22 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (22 1 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (22 1 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (20 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (18 18 (:REWRITE SUBSETP-MEMBER . 3))
 (18 18 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (18 18 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (18 18 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (18 18 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 3))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 2))
 (18 9 (:REWRITE SET-EQUIV-ASYM))
 (17 17 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (16 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (16 4 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (15 3 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (14 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (14 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (13 13 (:TYPE-PRESCRIPTION SET-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION NAMES-AT))
 (12 12 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (12 2 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (11 5 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (11 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (10 5 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (9 9 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION DIST-NAMES))
 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (7 7 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (5 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (5 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (5 1 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 4 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (4 4 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (4 4 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (4 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (4 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (4 1 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION FRAME-VAL))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (2 2 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(ABS-SEPARATE-CORRECTNESS-LEMMA-1
 (96 32 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL))
 (2 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(ABS-SEPARATE-CORRECTNESS-LEMMA-2
 (1132 114 (:REWRITE DEFAULT-CDR))
 (1085 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (799 12 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (773 1 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (513 6 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (445 6 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (375 36 (:DEFINITION ASSOC-EQUAL))
 (304 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (299 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (272 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (268 2 (:DEFINITION NTHCDR))
 (252 84 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (236 20 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (234 12 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (210 10 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (196 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (184 26 (:DEFINITION LEN))
 (166 2 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (163 143 (:REWRITE DEFAULT-CAR))
 (136 136 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (128 2 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (113 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (111 12 (:REWRITE LEN-WHEN-PREFIXP))
 (110 110 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (106 8 (:REWRITE NFIX-WHEN-ZP))
 (106 4 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (96 32 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (96 32 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (90 82 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (82 2 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (74 2 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (64 64 (:LINEAR LEN-WHEN-PREFIXP))
 (64 64 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (56 30 (:REWRITE DEFAULT-+-2))
 (54 31 (:REWRITE DEFAULT-<-2))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (45 1 (:DEFINITION PUT-ASSOC-EQUAL))
 (43 31 (:REWRITE DEFAULT-<-1))
 (42 4 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (36 36 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (33 13 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (32 32 (:LINEAR POSITION-WHEN-MEMBER))
 (32 32 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (30 30 (:REWRITE DEFAULT-+-1))
 (29 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (28 28 (:TYPE-PRESCRIPTION FRAME-WITH-ROOT))
 (26 6 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (24 24 (:TYPE-PRESCRIPTION PREFIXP))
 (23 23 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (22 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (21 21 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (20 20 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (20 20 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (20 10 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (20 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (19 19 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (17 17 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (13 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (12 8 (:REWRITE NFIX-WHEN-NATP))
 (12 6 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (12 4 (:DEFINITION NATP))
 (11 3 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (10 2 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (8 8 (:TYPE-PRESCRIPTION NFIX))
 (8 8 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (8 8 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (8 4 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (8 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (6 6 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (6 6 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (6 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (6 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (6 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (6 1 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (5 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 2 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(ABS-SEPARATE-CORRECTNESS-2
 (92712 352 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (85947 819 (:DEFINITION ASSOC-EQUAL))
 (62715 232 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (58930 835 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (51047 1014 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (46616 1030 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (40262 6061 (:DEFINITION LEN))
 (32414 629 (:REWRITE LEN-WHEN-PREFIXP))
 (30872 9399 (:REWRITE DEFAULT-CDR))
 (30370 5174 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (26836 117 (:DEFINITION NTHCDR))
 (22488 416 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (21044 232 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (17404 15 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (16309 820 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (13433 429 (:REWRITE NFIX-WHEN-ZP))
 (12642 21 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (12352 6291 (:REWRITE DEFAULT-+-2))
 (12207 115 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (10686 10686 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (9822 61 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (9707 267 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (9591 121 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (9448 629 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8822 20 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (7371 2457 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (7371 2457 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (7124 28 (:DEFINITION MEMBER-EQUAL))
 (6760 56 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (6291 6291 (:REWRITE DEFAULT-+-1))
 (6198 5434 (:LINEAR LEN-WHEN-PREFIXP))
 (5763 1921 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3785 3699 (:REWRITE DEFAULT-CAR))
 (3678 1499 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (3326 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (3190 40 (:REWRITE SUBSETP-CAR-MEMBER))
 (3008 114 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2977 61 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (2827 65 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (2820 68 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (2644 1444 (:REWRITE DEFAULT-<-2))
 (2468 233 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2457 2457 (:LINEAR POSITION-WHEN-MEMBER))
 (2457 2457 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2452 126 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (2437 1729 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2269 9 (:REWRITE REMOVE-WHEN-ABSENT))
 (2073 1444 (:REWRITE DEFAULT-<-1))
 (2009 307 (:REWRITE SUBSETP-TRANS2))
 (1990 81 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1961 960 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1918 480 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1856 3 (:DEFINITION REMOVE-EQUAL))
 (1702 233 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (1700 923 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1682 923 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1646 1638 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (1544 1544 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1349 276 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1322 40 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (1287 429 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1273 649 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (1190 1022 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1050 1018 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1018 1018 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1014 1014 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1010 40 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (995 25 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (987 509 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (959 480 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (944 509 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (904 132 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (844 178 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (832 832 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (720 20 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (711 343 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (595 276 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (580 20 (:DEFINITION NATP))
 (522 20 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (509 509 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (475 25 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (468 233 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (460 60 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (440 20 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (438 438 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (422 20 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (420 90 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (416 416 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (416 104 (:DEFINITION STRIP-CARS))
 (345 115 (:REWRITE COMMUTATIVITY-OF-+))
 (297 297 (:REWRITE SUBSETP-TRANS))
 (282 132 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (276 276 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (240 121 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (240 20 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (178 178 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (177 177 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (170 170 (:REWRITE CONSP-OF-STRIP-CARS))
 (150 20 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (142 142 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (140 40 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (140 40 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (140 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (139 54 (:REWRITE MEMBER-WHEN-ATOM))
 (131 131 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (103 103 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (103 103 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (103 103 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (103 103 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (103 103 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (96 96 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (86 86 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (81 54 (:REWRITE SUBSETP-MEMBER . 4))
 (80 80 (:TYPE-PRESCRIPTION SET-EQUIV))
 (80 40 (:REWRITE SET-EQUIV-ASYM))
 (80 20 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (70 40 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (70 10 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (62 62 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (60 10 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (57 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (56 56 (:REWRITE SUBSETP-MEMBER . 2))
 (56 56 (:REWRITE SUBSETP-MEMBER . 1))
 (54 54 (:REWRITE SUBSETP-MEMBER . 3))
 (54 54 (:REWRITE INTERSECTP-MEMBER . 3))
 (54 54 (:REWRITE INTERSECTP-MEMBER . 2))
 (45 45 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (40 40 (:TYPE-PRESCRIPTION NATP))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (40 40 (:REWRITE SUBSETP-OF-CDR))
 (40 40 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (40 40 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (40 40 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (40 40 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (26 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (26 1 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (23 23 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (22 2 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-1))
 (21 21 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (20 20 (:REWRITE SUBSETP-REFL))
 (20 20 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (20 20 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (20 20 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (20 20 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (17 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (16 16 (:REWRITE MV-NTH-OF-CONS))
 (12 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (12 4 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (12 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS))
 (10 10 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (10 10 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (10 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (10 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1 1 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (1 1 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 )
(DIST-NAMES-OF-APPEND
 (175599 2013 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (174844 2011 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (161799 196 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (113258 1803 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (104309 1897 (:REWRITE LEN-WHEN-PREFIXP))
 (77935 4191 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (68139 9951 (:DEFINITION LEN))
 (52516 9410 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (21468 21468 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (20920 98 (:DEFINITION NTHCDR))
 (20188 764 (:REWRITE TRUE-LISTP-WHEN-ABS-FILE-ALIST-P))
 (20098 10147 (:REWRITE DEFAULT-+-2))
 (15193 294 (:REWRITE ZP-OPEN))
 (15099 298 (:REWRITE NFIX-WHEN-ZP))
 (14446 13957 (:REWRITE DEFAULT-CDR))
 (13902 4634 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (13902 4634 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (12376 843 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (11059 196 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (10977 617 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (10147 10147 (:REWRITE DEFAULT-+-1))
 (9552 9552 (:LINEAR LEN-WHEN-PREFIXP))
 (8915 673 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (8448 1460 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (7684 452 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (7326 3756 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6402 4326 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (6005 843 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4634 4634 (:LINEAR POSITION-WHEN-MEMBER))
 (4634 4634 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4574 2385 (:REWRITE DEFAULT-<-2))
 (4471 187 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (4398 1466 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (4236 831 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4131 2385 (:REWRITE DEFAULT-<-1))
 (3790 3766 (:REWRITE DEFAULT-CAR))
 (3406 1954 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (3403 1954 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (3385 652 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3018 673 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (2920 2920 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2920 2920 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2920 2920 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2917 2917 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (2674 764 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2583 584 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (2472 1779 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2292 764 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (2011 2011 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2011 2011 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2011 2011 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2011 2011 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1808 226 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1776 624 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1776 624 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1656 1656 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1546 1546 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1528 764 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
 (1460 1460 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1260 1260 (:TYPE-PRESCRIPTION NAMES-AT))
 (1234 1234 (:TYPE-PRESCRIPTION ABS-FS-P))
 (988 391 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (843 843 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (831 831 (:REWRITE SUBSETP-TRANS2))
 (831 831 (:REWRITE SUBSETP-TRANS))
 (764 764 (:TYPE-PRESCRIPTION STRING-LISTP))
 (764 764 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (764 764 (:TYPE-PRESCRIPTION D-E-P))
 (764 764 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (764 764 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (764 382 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (721 391 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (673 673 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (626 371 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (447 298 (:REWRITE NFIX-WHEN-NATP))
 (439 439 (:REWRITE CONSP-OF-LIST-FIX))
 (434 181 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (420 420 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (384 64 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (382 382 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (382 382 (:REWRITE SET::IN-SET))
 (354 354 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (294 98 (:REWRITE COMMUTATIVITY-OF-+))
 (279 9 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-6))
 (256 128 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (247 178 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (243 9 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (196 196 (:TYPE-PRESCRIPTION ZP))
 (181 181 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (181 181 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (181 181 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (178 178 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (178 178 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (178 178 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (128 128 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (98 98 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (98 98 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (89 89 (:REWRITE INTERSECTP-MEMBER . 1))
 (45 45 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (20 20 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (18 18 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (9 9 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(MUTUAL-DIST-NAMES
 (110 25 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (25 25 (:REWRITE SUBSETP-TRANS2))
 (25 25 (:REWRITE SUBSETP-TRANS))
 (24 24 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (24 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (13 13 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (11 11 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-CDR))
 )
(ABS-SEPARATE-OF-APPEND
 (5888 32 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3476 32 (:DEFINITION MEMBER-EQUAL))
 (2728 64 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2144 64 (:REWRITE SUBSETP-CAR-MEMBER))
 (2016 256 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1840 64 (:DEFINITION NATP))
 (1656 64 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1584 488 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1472 64 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1392 64 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (1272 32 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1216 128 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (1056 1056 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (760 64 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (760 64 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (600 32 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (576 576 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (488 488 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (448 32 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (375 305 (:REWRITE DEFAULT-CDR))
 (320 96 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (293 245 (:REWRITE DEFAULT-CAR))
 (224 32 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (192 96 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (192 96 (:REWRITE SET-EQUIV-ASYM))
 (160 64 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (128 128 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (128 128 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (128 128 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (128 32 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (96 96 (:TYPE-PRESCRIPTION SET-EQUIV))
 (96 96 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (96 96 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (96 96 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (96 96 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (96 48 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (96 32 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (96 32 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (84 28 (:REWRITE CAR-OF-APPEND))
 (64 64 (:TYPE-PRESCRIPTION NATP))
 (64 64 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (64 64 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (64 64 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (64 64 (:REWRITE SUBSETP-TRANS2))
 (64 64 (:REWRITE SUBSETP-TRANS))
 (64 64 (:REWRITE SUBSETP-OF-CDR))
 (64 64 (:REWRITE SUBSETP-MEMBER . 4))
 (64 64 (:REWRITE SUBSETP-MEMBER . 3))
 (64 64 (:REWRITE SUBSETP-MEMBER . 2))
 (64 64 (:REWRITE SUBSETP-MEMBER . 1))
 (64 64 (:REWRITE MEMBER-WHEN-ATOM))
 (64 64 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 3))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 2))
 (64 64 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (64 64 (:REWRITE DEFAULT-<-2))
 (64 64 (:REWRITE DEFAULT-<-1))
 (64 32 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (64 32 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (48 48 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (48 48 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (32 32 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (32 32 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (32 32 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (32 32 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (16 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (14 14 (:REWRITE CONSP-OF-APPEND))
 (14 14 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 )
(DIFFERENT-FROM-OWN-SRC-1
 (5744 4 (:DEFINITION COLLAPSE))
 (4632 17 (:REWRITE ZP-OPEN))
 (2788 46 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2631 195 (:REWRITE DEFAULT-CDR))
 (2505 36 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (2419 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2395 18 (:REWRITE NFIX-WHEN-ZP))
 (2318 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (2286 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (2244 2 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (2168 92 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2108 26 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2106 38 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2104 38 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1351 42 (:REWRITE LEN-WHEN-PREFIXP))
 (1276 26 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (1020 3 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (1002 6 (:DEFINITION ABS-SEPARATE))
 (990 330 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (764 42 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (564 6 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (510 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (392 50 (:DEFINITION ASSOC-EQUAL))
 (388 388 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (318 24 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (311 4 (:DEFINITION NTHCDR))
 (254 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (234 78 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (234 78 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (232 232 (:REWRITE DEFAULT-CAR))
 (210 6 (:DEFINITION NATP))
 (198 162 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (187 187 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (172 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (168 168 (:LINEAR LEN-WHEN-PREFIXP))
 (168 6 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (159 159 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (138 74 (:REWRITE DEFAULT-<-2))
 (128 37 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (116 84 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (116 74 (:REWRITE DEFAULT-<-1))
 (115 84 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (114 38 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (111 111 (:TYPE-PRESCRIPTION PREFIXP))
 (100 100 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (92 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (90 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (90 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (89 17 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (87 15 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (80 80 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (78 78 (:LINEAR POSITION-WHEN-MEMBER))
 (78 78 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (72 72 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (72 36 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (69 36 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (66 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (60 36 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (54 12 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (54 9 (:REWRITE MEMBER-WHEN-ATOM))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (41 41 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (39 13 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (38 38 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (38 38 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (38 38 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (38 38 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (37 37 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (30 30 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (30 30 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (30 30 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (30 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (26 26 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (26 13 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (24 24 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (24 12 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (23 23 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (23 10 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (21 3 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (21 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (20 10 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (16 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (14 8 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (12 12 (:TYPE-PRESCRIPTION DIST-NAMES))
 (12 12 (:REWRITE SUBSETP-MEMBER . 2))
 (12 12 (:REWRITE SUBSETP-MEMBER . 1))
 (12 12 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 12 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (12 6 (:REWRITE SET-EQUIV-ASYM))
 (12 6 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (11 11 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (9 9 (:REWRITE SUBSETP-MEMBER . 4))
 (9 9 (:REWRITE SUBSETP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (8 8 (:REWRITE DEFAULT-+-2))
 (8 8 (:REWRITE DEFAULT-+-1))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 2 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 6 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (6 4 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (6 3 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(COLLAPSE-1ST-INDEX
 (7744 2 (:DEFINITION COLLAPSE-ITER))
 (3626 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3387 52 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2712 47 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (2632 43 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (2413 47 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2215 103 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1692 38 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1664 6 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1650 2 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (1466 212 (:DEFINITION LEN))
 (1211 48 (:REWRITE LEN-WHEN-PREFIXP))
 (1062 6 (:DEFINITION NTHCDR))
 (918 918 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (898 48 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (862 404 (:REWRITE DEFAULT-CDR))
 (856 250 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (824 12 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (534 22 (:REWRITE ZP-OPEN))
 (528 528 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (496 24 (:REWRITE NFIX-WHEN-ZP))
 (488 58 (:DEFINITION ASSOC-EQUAL))
 (436 224 (:REWRITE DEFAULT-+-2))
 (366 122 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (366 122 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (360 16 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (258 4 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (256 256 (:LINEAR LEN-WHEN-PREFIXP))
 (250 250 (:REWRITE DEFAULT-CAR))
 (224 224 (:REWRITE DEFAULT-+-1))
 (214 8 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (206 206 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (182 94 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (175 94 (:REWRITE DEFAULT-<-2))
 (166 4 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (164 60 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (142 94 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (142 94 (:REWRITE DEFAULT-<-1))
 (132 60 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (126 126 (:TYPE-PRESCRIPTION PREFIXP))
 (122 122 (:LINEAR POSITION-WHEN-MEMBER))
 (122 122 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (122 6 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (116 116 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (112 112 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (100 43 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (100 43 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (90 90 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (86 8 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (80 28 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (76 76 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (76 16 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (68 38 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (60 60 (:TYPE-PRESCRIPTION FRAME-P))
 (60 60 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (60 20 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (52 52 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (48 48 (:TYPE-PRESCRIPTION ZP))
 (48 32 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (47 47 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (47 47 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (47 47 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (47 47 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (44 12 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (42 14 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (40 40 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (40 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (38 38 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (36 36 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (36 24 (:REWRITE NFIX-WHEN-NATP))
 (36 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (32 32 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (32 32 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (32 32 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (32 16 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (28 19 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (27 12 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (27 12 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (24 24 (:TYPE-PRESCRIPTION NFIX))
 (24 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (18 18 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (18 9 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 6 (:REWRITE COMMUTATIVITY-OF-+))
 (16 16 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (16 16 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (16 8 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (16 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14 14 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (14 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (13 9 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (12 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (12 2 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (9 9 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 8 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (8 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 4 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (8 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (8 2 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (6 2 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (6 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (6 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (6 2 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (2 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(COLLAPSE-1ST-INDEX-CORRECTNESS-1
 (2423894 1334 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2367494 864 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1512380 4863 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1338759 4772 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1257799 4055 (:REWRITE LEN-WHEN-PREFIXP))
 (805213 2007 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (639940 2337 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (454831 15636 (:REWRITE NFIX-WHEN-ZP))
 (311223 4772 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (302427 13627 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (298523 30306 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (232238 33665 (:DEFINITION LEN))
 (191468 40395 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (180462 30832 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (177337 89566 (:REWRITE DEFAULT-CDR))
 (174214 18294 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (156004 45595 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (139347 46051 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (127891 1172 (:DEFINITION NTHCDR))
 (122658 13628 (:DEFINITION NATP))
 (121893 89 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (112437 143 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (96094 13627 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (96094 13627 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (95989 13635 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (95933 13627 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (91319 4055 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (89588 1410 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (82552 82552 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (78792 78792 (:REWRITE DEFAULT-CAR))
 (77157 853 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (73377 64738 (:REWRITE DEFAULT-<-2))
 (69725 36034 (:REWRITE DEFAULT-+-2))
 (68816 64738 (:REWRITE DEFAULT-<-1))
 (62967 1698 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (62085 16210 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (61920 61920 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (60612 30306 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (59972 4598 (:REWRITE FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (58942 272 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (56213 15447 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (52800 15327 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (50520 41276 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (46051 46051 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (45759 45759 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (44283 14761 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (44283 14761 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (36034 36034 (:REWRITE DEFAULT-+-1))
 (32420 32420 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (32142 32142 (:LINEAR LEN-WHEN-PREFIXP))
 (30936 880 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (30740 30740 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (30660 15327 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (29618 436 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (27588 4598 (:REWRITE FRAME-P-OF-COLLAPSE-THIS))
 (27300 27300 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (27300 27300 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (27262 27262 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (27262 27262 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (27262 27262 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (26306 67 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-5))
 (22834 7298 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (22315 744 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (19621 41 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (19059 41 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (18747 18747 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-COLLAPSE-THIS))
 (18747 18747 (:TYPE-PRESCRIPTION COLLAPSE-THIS))
 (17100 106 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (14999 8258 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (14761 14761 (:LINEAR POSITION-WHEN-MEMBER))
 (14761 14761 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (13650 13650 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (13650 13650 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (13635 13635 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (12966 816 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (12024 12024 (:TYPE-PRESCRIPTION PREFIXP))
 (12014 47 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS-2))
 (10564 272 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (10432 4258 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (10429 4258 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (10176 384 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (9182 272 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (8862 1656 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (8640 810 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (5985 5985 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (5316 128 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
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 )
(COLLAPSE-1ST-INDEX-WHEN-ABSENT
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 (24 24 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (20 4 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (20 4 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (18 18 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (12 12 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (12 12 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (5 5 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 )
(COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-1
 (4725980 35773 (:REWRITE LEN-WHEN-PREFIXP))
 (3757518 6550 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (3531594 1752 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2996341 18650 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (2978135 19814 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1595172 128 (:REWRITE COLLAPSE-1ST-INDEX-WHEN-ABSENT))
 (1227400 332147 (:REWRITE DEFAULT-CDR))
 (930358 16226 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (916260 131656 (:DEFINITION LEN))
 (814889 3183 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (690960 21028 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (664909 23168 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (638535 19394 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (448404 21028 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (404144 34955 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (310884 310884 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (282564 150835 (:REWRITE DEFAULT-+-2))
 (261983 260174 (:REWRITE DEFAULT-CAR))
 (254549 110257 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (230097 6980 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (210231 70077 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (210231 70077 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (189572 5278 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (180369 179919 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
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 (85752 3382 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (83085 30386 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (77566 2402 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (77467 35275 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
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 (73345 1739 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-9))
 (70077 70077 (:LINEAR POSITION-WHEN-MEMBER))
 (70077 70077 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (60105 23168 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (59500 160 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (58498 319 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (54891 5411 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (50369 2160 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (47663 4142 (:REWRITE SUBSETP-CAR-MEMBER))
 (46336 46336 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (46164 2859 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (45864 15288 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (44248 13907 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
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 (43392 23969 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
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 (42108 317 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (42056 21028 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (39753 39753 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (39626 8907 (:REWRITE SUBSETP-WHEN-SUBSETP))
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 (33447 634 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
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 (28584 9528 (:REWRITE COMMUTATIVITY-OF-+))
 (26584 9724 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
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 (15102 3532 (:DEFINITION STRIP-CARS))
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 (13795 13795 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
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 (12228 6838 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
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 (11995 11995 (:TYPE-PRESCRIPTION CTX-APP))
 (10844 10562 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (10701 10701 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (10587 10587 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10131 10131 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8931 3009 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
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 (8301 870 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-17))
 (8276 8276 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
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 (8076 8076 (:TYPE-PRESCRIPTION NAMES-AT))
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 (6842 6842 (:TYPE-PRESCRIPTION ABS-FS-FIX))
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 (6548 6548 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6536 6536 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6072 6072 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (5904 5904 (:TYPE-PRESCRIPTION STRIP-CARS))
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 (4804 4804 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4804 4804 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
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 (4376 1844 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
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 (4138 4138 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (3756 3756 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
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 (2766 2766 (:REWRITE INTERSECT-WITH-SUBSET . 1))
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 (2337 779 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-1))
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 (2249 2249 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2223 2223 (:REWRITE SUBSETP-MEMBER . 2))
 (2223 2223 (:REWRITE SUBSETP-MEMBER . 1))
 (2169 1878 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2069 2069 (:REWRITE SUBSETP-REFL))
 (1844 1844 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (1844 1844 (:REWRITE INTERSECTP-MEMBER . 1))
 (1840 420 (:REWRITE FRAME-VAL->PATH-OF-FRAME-VAL))
 (1743 21 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (1290 1290 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (1268 634 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (1250 250 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
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 (934 934 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
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 (800 480 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (788 779 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-6))
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 (500 500 (:REWRITE CDR-CONS))
 (447 33 (:REWRITE MEMBER-OF-STRIP-CARS))
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 (333 333 (:REWRITE CONSP-OF-STRIP-CARS))
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 (273 273 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (170 170 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
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 (150 150 (:REWRITE INTERSECTP-MEMBER . 3))
 (150 150 (:REWRITE INTERSECTP-MEMBER . 2))
 (118 118 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (76 76 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (66 66 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (66 66 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (36 36 (:REWRITE-QUOTED-CONSTANT ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (36 12 (:REWRITE FOLD-CONSTS-IN-+))
 (21 21 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-COLLAPSE-THIS-1))
 (6 2 (:DEFINITION NATP))
 )
(COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2
 (36 12 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (24 12 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (12 12 (:TYPE-PRESCRIPTION FRAME-P))
 )
(COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-3
 (281602 2366 (:DEFINITION ASSOC-EQUAL))
 (270318 848 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (240183 1130 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (230632 672 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (204342 1593 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (181024 12 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (177898 1619 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (148099 1119 (:REWRITE LEN-WHEN-PREFIXP))
 (141095 19457 (:REWRITE DEFAULT-CDR))
 (128252 768 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (123680 153 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (84881 1619 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (65857 9971 (:DEFINITION LEN))
 (65352 384 (:DEFINITION NTHCDR))
 (50838 636 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (48001 11157 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (47355 768 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
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 (45558 652 (:DEFINITION MEMBER-EQUAL))
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 (11580 11580 (:LINEAR LEN-WHEN-PREFIXP))
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 (8060 8060 (:TYPE-PRESCRIPTION STRIP-CARS))
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 (5367 5367 (:LINEAR POSITION-WHEN-MEMBER))
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 (3207 1069 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
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 (2365 2365 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2224 2224 (:TYPE-PRESCRIPTION ABS-ADDRS))
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 (2008 1078 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1988 1988 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (1954 1078 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1911 1911 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1911 1911 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1809 1291 (:REWRITE NFIX-WHEN-NATP))
 (1801 1801 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (1734 1734 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (1724 384 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (1670 127 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (1619 1619 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1619 1619 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1619 1619 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1619 1619 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1556 1556 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (1554 1554 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1554 777 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1356 310 (:DEFINITION STRIP-CARS))
 (1344 1344 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1304 1304 (:REWRITE SUBSETP-MEMBER . 2))
 (1304 1304 (:REWRITE SUBSETP-MEMBER . 1))
 (1235 1235 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1201 1085 (:REWRITE CONSP-OF-STRIP-CARS))
 (1188 1188 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1188 1188 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1181 142 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1167 389 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (1152 384 (:REWRITE COMMUTATIVITY-OF-+))
 (1008 168 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (1003 1003 (:TYPE-PRESCRIPTION ABS-FS-P))
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 (965 512 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (956 956 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (801 267 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (775 775 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (775 310 (:REWRITE MEMBER-WHEN-ATOM))
 (761 761 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
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 (710 297 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (672 672 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
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 (620 620 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (620 620 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (620 310 (:REWRITE SET-EQUIV-ASYM))
 (604 604 (:TYPE-PRESCRIPTION LIST-EQUIV))
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 (510 427 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (478 478 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (465 465 (:TYPE-PRESCRIPTION SET-EQUIV))
 (465 465 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (364 47 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (360 360 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (310 310 (:TYPE-PRESCRIPTION NATP))
 (310 310 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (310 310 (:REWRITE SUBSETP-OF-CDR))
 (310 310 (:REWRITE SUBSETP-MEMBER . 4))
 (310 310 (:REWRITE SUBSETP-MEMBER . 3))
 (310 310 (:REWRITE INTERSECTP-MEMBER . 3))
 (310 310 (:REWRITE INTERSECTP-MEMBER . 2))
 (310 310 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (310 310 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (297 297 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (284 284 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (284 284 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (272 272 (:TYPE-PRESCRIPTION COLLAPSE-1ST-INDEX))
 (230 230 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (155 155 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (155 155 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (149 149 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (139 139 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (78 78 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (37 37 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (37 37 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (34 34 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (14 14 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (6 6 (:REWRITE COLLAPSE-OF-COLLAPSE-ITER))
 )
(COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-4
 (9380748 6842 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (9125072 3392 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (7726697 53432 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (5493213 45899 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (5261024 134625 (:DEFINITION ASSOC-EQUAL))
 (5179877 23988 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (4972135 40042 (:REWRITE LEN-WHEN-PREFIXP))
 (3623791 32393 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (1767111 497665 (:REWRITE DEFAULT-CDR))
 (1648733 45828 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1607166 23988 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1495696 12068 (:DEFINITION NTHCDR))
 (1442555 206441 (:DEFINITION LEN))
 (1397200 88 (:LINEAR COLLAPSE-1ST-INDEX-CORRECTNESS-1))
 (1395188 100560 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (871071 871047 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (846797 9281 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (803337 100736 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (777620 20207 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (711982 17977 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (655447 16325 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (523606 20207 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (480427 40042 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (456854 5590 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (451080 451080 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (439008 232489 (:REWRITE DEFAULT-+-2))
 (431451 195109 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (427018 426568 (:REWRITE DEFAULT-CAR))
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 (304359 101453 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (304359 101453 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (263399 52865 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
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 (254490 210560 (:LINEAR LEN-WHEN-PREFIXP))
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 (229512 8276 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (228412 1076 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (199268 13560 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (177099 3806 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (171773 2485 (:DEFINITION MEMBER-EQUAL))
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 (134350 31225 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (132783 6517 (:REWRITE SUBSETP-CAR-MEMBER))
 (129465 65541 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (118978 3350 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (118132 20303 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (116269 377 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
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 (103624 11948 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (102106 101716 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (101716 101716 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (101716 101716 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (101453 101453 (:LINEAR POSITION-WHEN-MEMBER))
 (101453 101453 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (101252 100736 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (100472 556 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (94696 376 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (93228 504 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-5))
 (90277 36717 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (89887 36717 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (88699 402 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (86409 1182 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (71716 88 (:DEFINITION REMOVE-EQUAL))
 (68090 33530 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (67902 22634 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (67639 33530 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (66828 264 (:REWRITE REMOVE-WHEN-ABSENT))
 (51354 17977 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (50024 2711 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (48057 48057 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (47029 47029 (:TYPE-PRESCRIPTION ABS-COMPLETE))
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 (45828 45828 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (45828 45828 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (45828 45828 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (44898 3228 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (43820 540 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (41951 17841 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (40728 540 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (40414 20207 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (39874 20717 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (39694 188 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (39354 39354 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (38824 1076 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (35954 35954 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (35880 11942 (:REWRITE COMMUTATIVITY-OF-+))
 (35814 188 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (32155 32155 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (30652 30652 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (30643 30643 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (30599 30599 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (29498 1076 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (27432 2682 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (26896 822 (:DEFINITION NATP))
 (26113 26113 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (25216 25216 (:TYPE-PRESCRIPTION LIST-EQUIV))
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 (24468 24468 (:TYPE-PRESCRIPTION ABS-SEPARATE))
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 (22910 22910 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (22872 704 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (22534 11267 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (22305 5867 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (21454 24 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (20717 20717 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (18990 1899 (:DEFINITION ALISTP))
 (18554 9281 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (17980 1560 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (17954 17954 (:TYPE-PRESCRIPTION STRIP-CARS))
 (17891 17891 (:REWRITE SUBSETP-TRANS2))
 (17891 17891 (:REWRITE SUBSETP-TRANS))
 (16896 880 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (15836 2861 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (15562 22 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (15192 3798 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (15010 990 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (14266 14266 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (13680 1440 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (13198 804 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (12467 12467 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (12268 12268 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12266 12266 (:TYPE-PRESCRIPTION ABS-FS-P))
 (11112 11112 (:TYPE-PRESCRIPTION NAMES-AT))
 (10912 10833 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (8597 8597 (:TYPE-PRESCRIPTION FRAME-VAL))
 (8533 1518 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (8472 8276 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (7596 7596 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (7556 176 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (7264 7264 (:TYPE-PRESCRIPTION CTX-APP))
 (7124 204 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (6784 6784 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6327 6327 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (6258 21 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (6066 6066 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (5824 2152 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (5632 2056 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (5620 5620 (:TYPE-PRESCRIPTION DIST-NAMES))
 (5040 360 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (4970 4970 (:REWRITE SUBSETP-MEMBER . 2))
 (4970 4970 (:REWRITE SUBSETP-MEMBER . 1))
 (4770 608 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (4500 750 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (4492 204 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (4356 1074 (:DEFINITION STRIP-CARS))
 (4092 4092 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4048 176 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (3916 3916 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (3798 3798 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (3704 3704 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (3698 8 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (3392 3392 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3228 3228 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (3228 3228 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (3228 3228 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (3228 3228 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (3228 3228 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (3228 3228 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (3228 3228 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (3228 3228 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (3228 3228 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (3228 3228 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (3228 3228 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (3228 3228 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (3210 3210 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (3072 16 (:REWRITE FRAME-VAL->DIR-OF-FRAME-VAL))
 (3024 504 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (3024 504 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS))
 (3024 144 (:REWRITE FRAME-VAL->SRC-OF-FRAME-VAL))
 (2982 44 (:REWRITE COLLAPSE-OF-COLLAPSE-ITER))
 (2934 608 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (2934 608 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (2874 2874 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (2520 360 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (2490 168 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2328 1164 (:REWRITE SET-EQUIV-ASYM))
 (2152 2152 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (2152 2152 (:REWRITE INTERSECTP-MEMBER . 1))
 (2063 2063 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (2046 2046 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1941 1941 (:REWRITE SUBSETP-REFL))
 (1880 376 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
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 (1518 1518 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1512 504 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-1))
 (1478 42 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (1352 42 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1248 304 (:REWRITE FRAME-VAL->PATH-OF-FRAME-VAL))
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 (1156 1156 (:REWRITE INTERSECTP-MEMBER . 2))
 (1121 26 (:REWRITE MEMBER-OF-STRIP-CARS))
 (1080 1080 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (1062 42 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (976 372 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (856 848 (:REWRITE CONSP-OF-STRIP-CARS))
 (852 42 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (822 822 (:TYPE-PRESCRIPTION NATP))
 (804 804 (:REWRITE SUBSETP-OF-CDR))
 (800 160 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (760 760 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (752 376 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (724 724 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (720 720 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (696 696 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (696 696 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (672 504 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-6))
 (656 328 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (616 504 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-2))
 (444 444 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (376 376 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (360 360 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (360 360 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (348 348 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (348 348 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (335 42 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (328 328 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (320 320 (:REWRITE CDR-CONS))
 (296 296 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (228 228 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (204 204 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (192 96 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (172 172 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (166 12 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-3))
 (160 96 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (160 96 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (144 144 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (137 10 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (130 26 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (126 126 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (120 120 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-17))
 (112 32 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (84 84 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (84 84 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (52 52 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (52 52 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (42 42 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (42 42 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (40 8 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (32 32 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 )
(COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-5
 (16419254 9778 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (15998269 5626 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
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 (252 252 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
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 (26 2 (:REWRITE FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (12 12 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (12 2 (:REWRITE FRAME-P-OF-COLLAPSE-THIS))
 (10 10 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-6
 (435625 154 (:DEFINITION COLLAPSE))
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 (89733 1416 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (87766 8 (:LINEAR COLLAPSE-1ST-INDEX-CORRECTNESS-1))
 (87392 396 (:REWRITE ABS-FS-P-OF-CTX-APP))
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 (18221 140 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (15704 619 (:REWRITE ZP-OPEN))
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 (12368 97 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (12330 140 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (11646 1972 (:REWRITE SUBSETP-WHEN-SUBSETP))
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 (10024 10024 (:LINEAR LEN-WHEN-PREFIXP))
 (9981 1270 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (9900 1188 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (9692 285 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (8831 2937 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (8527 8527 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
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 (7722 26 (:DEFINITION REMOVE-EQUAL))
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 (6786 78 (:REWRITE REMOVE-WHEN-ABSENT))
 (6456 3804 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (6307 96 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (6215 96 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (6157 95 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (6111 6111 (:TYPE-PRESCRIPTION PREFIXP))
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 (4889 195 (:DEFINITION NATP))
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 (4752 4752 (:TYPE-PRESCRIPTION NAMES-AT))
 (4752 1584 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4752 1584 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
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 (4586 4586 (:LINEAR POSITION-WHEN-MEMBER))
 (4586 4586 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4552 4552 (:TYPE-PRESCRIPTION ABS-ADDRS))
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 (4018 4018 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (3793 1869 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (3740 2009 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (3693 116 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (3503 3503 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (3482 1741 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (3325 3325 (:TYPE-PRESCRIPTION CTX-APP))
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 (3011 3011 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (2962 220 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2774 486 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (2748 2748 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2714 962 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (2560 2560 (:TYPE-PRESCRIPTION STRIP-CARS))
 (2470 2470 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2470 2470 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2467 2467 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2376 2376 (:TYPE-PRESCRIPTION DIST-NAMES))
 (2376 792 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (2376 792 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (2265 116 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (2211 2211 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (2208 750 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (2171 2171 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2171 2171 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2171 2171 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2171 2171 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2152 2152 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2134 194 (:REWRITE SUBSETP-CAR-MEMBER))
 (2080 1990 (:REWRITE DEFAULT-CAR))
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 (1969 1969 (:TYPE-PRESCRIPTION ABS-FS-FIX))
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 (792 792 (:REWRITE INTERSECTP-MEMBER . 1))
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 (708 236 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
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 (410 410 (:REWRITE CTX-APP-WHEN-NOT-NATP))
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 (408 408 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
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 (388 194 (:REWRITE SET-EQUIV-ASYM))
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 (366 366 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
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 (204 204 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
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 (140 140 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (140 140 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
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 (120 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
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 (88 88 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (63 21 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (60 60 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (60 60 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (58 58 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (44 44 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (44 44 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (30 30 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (30 30 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (30 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (3 3 (:REWRITE DEFAULT-UNARY-MINUS))
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 )
(COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-7
 (113228644 100805 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
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 (60626716 201451 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
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 (971 62 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (872 872 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (872 872 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (856 214 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
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 (124 124 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
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 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-8
 (3 1 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:TYPE-PRESCRIPTION LEN))
 (1 1 (:TYPE-PRESCRIPTION FRAME-P))
 )
(COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9
 (156 52 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (90 4 (:DEFINITION ASSOC-EQUAL))
 (88 7 (:REWRITE DEFAULT-CDR))
 (56 1 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (51 2 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (22 2 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (20 20 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (13 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (12 12 (:REWRITE DEFAULT-CAR))
 (7 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 1 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-10
 (101679 448 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
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 (81215 1450 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (71783 1450 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
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 (49458 7210 (:DEFINITION LEN))
 (41263 224 (:DEFINITION NTHCDR))
 (36747 736 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (29049 86 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
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 (26674 1991 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (18657 146 (:DEFINITION MEMBER-EQUAL))
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 (5989 211 (:DEFINITION NATP))
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 (2824 635 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (2791 2791 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2788 103 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (2700 900 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2684 1348 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (2682 1348 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (2609 1991 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (2604 103 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (2525 80 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2506 2197 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2402 301 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2370 412 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (2285 732 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2197 2197 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2197 2197 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2089 103 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1737 221 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (1614 412 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (1614 412 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (1537 588 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1472 1472 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1450 1450 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1450 1450 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1450 1450 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1450 1450 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1431 630 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1260 1260 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1233 239 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1177 16 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (1172 767 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1101 546 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1089 546 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (948 208 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (932 932 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (848 206 (:DEFINITION STRIP-CARS))
 (832 832 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (816 408 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (792 348 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (773 464 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (773 464 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (767 767 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (756 126 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (736 736 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (732 732 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (691 691 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (689 689 (:TYPE-PRESCRIPTION ABS-FS-P))
 (664 664 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (647 647 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (638 80 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (624 208 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (610 610 (:REWRITE SUBSETP-TRANS2))
 (610 610 (:REWRITE SUBSETP-TRANS))
 (593 593 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (593 593 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (515 206 (:REWRITE MEMBER-WHEN-ATOM))
 (508 221 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (507 169 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (504 163 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (478 478 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (478 239 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (478 239 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (430 43 (:DEFINITION ALISTP))
 (428 428 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (412 412 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (412 412 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (412 206 (:REWRITE SET-EQUIV-ASYM))
 (404 104 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (380 184 (:REWRITE COLLAPSE-1ST-INDEX-WHEN-ABSENT))
 (347 327 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (344 86 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (332 332 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (309 309 (:TYPE-PRESCRIPTION SET-EQUIV))
 (309 309 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (292 292 (:REWRITE SUBSETP-MEMBER . 2))
 (292 292 (:REWRITE SUBSETP-MEMBER . 1))
 (265 265 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (242 102 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (238 77 (:LINEAR COLLAPSE-1ST-INDEX-CORRECTNESS-1))
 (221 221 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (211 211 (:TYPE-PRESCRIPTION NATP))
 (207 207 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (206 206 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (206 206 (:REWRITE SUBSETP-OF-CDR))
 (206 206 (:REWRITE SUBSETP-MEMBER . 4))
 (206 206 (:REWRITE SUBSETP-MEMBER . 3))
 (206 206 (:REWRITE INTERSECTP-MEMBER . 3))
 (206 206 (:REWRITE INTERSECTP-MEMBER . 2))
 (206 206 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (206 206 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (198 86 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (188 104 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (172 172 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (160 160 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (160 160 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (146 146 (:REWRITE SUBSETP-REFL))
 (136 136 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-COLLAPSE-THIS))
 (136 136 (:TYPE-PRESCRIPTION COLLAPSE-THIS))
 (109 109 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (103 103 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (103 103 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (86 86 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (85 85 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (60 60 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (60 60 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (48 20 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (48 20 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (33 33 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (16 16 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (9 3 (:REWRITE COLLAPSE-OF-COLLAPSE-ITER))
 )
(COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-1
 (251085 67 (:DEFINITION COLLAPSE))
 (96288 324 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (95462 1116 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (92488 1244 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (81300 2774 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (72866 1182 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (71768 1957 (:DEFINITION ASSOC-EQUAL))
 (69974 1182 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (66404 958 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (63817 73 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (53992 12245 (:REWRITE DEFAULT-CDR))
 (44280 1110 (:REWRITE LEN-WHEN-PREFIXP))
 (43440 6310 (:DEFINITION LEN))
 (42776 1137 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (32028 954 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (29670 166 (:DEFINITION NTHCDR))
 (28664 528 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (26806 6808 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (25890 25890 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (23444 324 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (19198 1110 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (18616 55 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (15634 802 (:REWRITE NFIX-WHEN-ZP))
 (14380 14380 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (13695 7195 (:REWRITE DEFAULT-+-2))
 (11208 798 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (9915 3305 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9915 3305 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8858 8858 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8670 134 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (8654 4084 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (8031 8007 (:REWRITE DEFAULT-CAR))
 (7631 5159 (:REWRITE DEFAULT-<-2))
 (7376 278 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (7222 7195 (:REWRITE DEFAULT-+-1))
 (7006 7006 (:LINEAR LEN-WHEN-PREFIXP))
 (6744 232 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (6670 5159 (:REWRITE DEFAULT-<-1))
 (6402 798 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (5446 2510 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (5344 5344 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (5339 1533 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (5279 207 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (3620 2510 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3305 3305 (:LINEAR POSITION-WHEN-MEMBER))
 (3305 3305 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3260 278 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (2997 921 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (2882 2882 (:TYPE-PRESCRIPTION PREFIXP))
 (2820 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (2378 2378 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (2376 1116 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (2352 1116 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (2232 2232 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (2232 20 (:DEFINITION MEMBER-EQUAL))
 (2167 737 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (1968 1116 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1744 16 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1740 580 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1728 1728 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (1708 1708 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1637 447 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1557 343 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (1549 421 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1468 152 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1370 44 (:REWRITE SUBSETP-CAR-MEMBER))
 (1360 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (1340 1340 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (1231 164 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1182 1182 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (1182 1182 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1182 1182 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1182 1182 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1056 1056 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1047 549 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (923 158 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (910 16 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (892 892 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (880 880 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (822 798 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (818 806 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (806 806 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (806 806 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (804 268 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (760 28 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (749 334 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (701 334 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (668 232 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (660 220 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (638 638 (:TYPE-PRESCRIPTION NFIX))
 (624 56 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (586 586 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (584 55 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (556 278 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (552 144 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (532 532 (:TYPE-PRESCRIPTION STRIP-CARS))
 (532 16 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (528 528 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (517 517 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (516 36 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (512 284 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (480 32 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (478 264 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (470 92 (:DEFINITION STRIP-CARS))
 (464 464 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (452 16 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (447 447 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (430 430 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (402 134 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (402 67 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (397 397 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (388 388 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (384 20 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (373 373 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (363 363 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (345 345 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (343 343 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (312 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (304 8 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (288 288 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (288 144 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (284 284 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (280 8 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (268 134 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (264 264 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (233 233 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (232 24 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (228 48 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (214 214 (:TYPE-PRESCRIPTION ABS-FS-P))
 (208 8 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (200 32 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (168 8 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (167 104 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (167 104 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (136 66 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (116 116 (:REWRITE SUBSETP-TRANS2))
 (116 116 (:REWRITE SUBSETP-TRANS))
 (97 97 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (88 88 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (68 8 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (67 67 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (67 67 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (67 67 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (65 65 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (60 56 (:REWRITE CONSP-OF-STRIP-CARS))
 (56 16 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (56 16 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (48 48 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (40 40 (:REWRITE SUBSETP-MEMBER . 2))
 (40 40 (:REWRITE SUBSETP-MEMBER . 1))
 (40 16 (:REWRITE MEMBER-WHEN-ATOM))
 (40 4 (:DEFINITION ALISTP))
 (36 9 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (32 16 (:REWRITE SET-EQUIV-ASYM))
 (32 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (28 16 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (24 24 (:TYPE-PRESCRIPTION SET-EQUIV))
 (24 24 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (24 4 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (16 16 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (16 16 (:REWRITE SUBSETP-OF-CDR))
 (16 16 (:REWRITE SUBSETP-MEMBER . 4))
 (16 16 (:REWRITE SUBSETP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 3))
 (16 16 (:REWRITE INTERSECTP-MEMBER . 2))
 (16 16 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE SUBSETP-REFL))
 (10 10 (:REWRITE COLLAPSE-ITER-OF-COLLAPSE-ITER))
 (8 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (8 8 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (8 8 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 )
(FRAME-ADDRS-BEFORE
 (18 6 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (12 6 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (6 6 (:TYPE-PRESCRIPTION LEN))
 (6 6 (:TYPE-PRESCRIPTION FRAME-P))
 (1 1 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 )
(NAT-LISTP-OF-FRAME-ADDRS-BEFORE
 (1181 31 (:REWRITE DEFAULT-CDR))
 (682 18 (:DEFINITION ASSOC-EQUAL))
 (615 32 (:REWRITE ZP-OPEN))
 (530 9 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (487 18 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (248 2 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (231 76 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (228 76 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (224 18 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (215 7 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (144 144 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (130 18 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (66 52 (:REWRITE DEFAULT-<-2))
 (60 60 (:REWRITE DEFAULT-CAR))
 (54 24 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (52 52 (:REWRITE DEFAULT-<-1))
 (52 6 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (50 50 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (37 6 (:DEFINITION BINARY-APPEND))
 (34 14 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (30 12 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (28 7 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (27 7 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (26 26 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (26 26 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (25 25 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (18 18 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (18 18 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (18 18 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (18 18 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (17 5 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (14 14 (:REWRITE DEFAULT-+-2))
 (14 14 (:REWRITE DEFAULT-+-1))
 (14 6 (:REWRITE COLLAPSE-OF-COLLAPSE-ITER))
 (12 4 (:REWRITE FOLD-CONSTS-IN-+))
 (11 11 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 2 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-1))
 (4 4 (:REWRITE COLLAPSE-ITER-OF-COLLAPSE-ITER))
 (2 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 )
(1ST-COMPLETE-CORRECTNESS-2
 (897 34 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (750 27 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (396 34 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (336 334 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (202 54 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (185 10 (:REWRITE NFIX-WHEN-ZP))
 (154 8 (:REWRITE ZP-OPEN))
 (128 128 (:REWRITE DEFAULT-CAR))
 (89 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (81 27 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (80 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (76 18 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (76 17 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (68 34 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (54 54 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (54 54 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (53 31 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (48 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (36 36 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (36 18 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (31 31 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (27 1 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (22 22 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (18 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (17 17 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (17 17 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (16 16 (:REWRITE DEFAULT-<-2))
 (16 16 (:REWRITE DEFAULT-<-1))
 (14 1 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (12 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (11 11 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (11 2 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8 8 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 8 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (7 7 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (4 4 (:TYPE-PRESCRIPTION ABS-FS-P))
 (4 2 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 )
(MEMBER-OF-FRAME-ADDRS-BEFORE-LEMMA-2
 (2249 62 (:REWRITE DEFAULT-CDR))
 (1828 7 (:DEFINITION MEMBER-EQUAL))
 (1755 12 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1374 59 (:REWRITE ZP-OPEN))
 (1252 5 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (1224 40 (:DEFINITION ASSOC-EQUAL))
 (1014 20 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (684 228 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (654 12 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (409 27 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (386 32 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (372 3 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (288 12 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (260 260 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (232 34 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (218 23 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (163 5 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (155 22 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (144 15 (:REWRITE SUBSETP-MEMBER . 1))
 (141 91 (:REWRITE DEFAULT-<-2))
 (130 130 (:REWRITE DEFAULT-CAR))
 (108 15 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (104 22 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (99 17 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (98 2 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (91 91 (:REWRITE DEFAULT-<-1))
 (84 84 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (84 30 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (72 54 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (60 60 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (57 57 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (57 24 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (54 54 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (54 3 (:REWRITE FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (52 52 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (50 26 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (48 12 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (45 12 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (40 40 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (40 40 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (40 40 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (35 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (34 34 (:TYPE-PRESCRIPTION ABS-FS-P))
 (31 13 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (31 13 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (31 10 (:REWRITE MEMBER-WHEN-ATOM))
 (30 30 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (30 30 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (30 30 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (30 30 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (30 9 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (28 28 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (26 3 (:REWRITE SUBSETP-CONS-2))
 (26 2 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (24 24 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (23 23 (:REWRITE DEFAULT-+-2))
 (23 23 (:REWRITE DEFAULT-+-1))
 (22 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (21 9 (:REWRITE COLLAPSE-OF-COLLAPSE-ITER))
 (20 2 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (18 6 (:REWRITE FOLD-CONSTS-IN-+))
 (18 3 (:DEFINITION BINARY-APPEND))
 (17 17 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (16 16 (:REWRITE SUBSETP-TRANS2))
 (16 16 (:REWRITE SUBSETP-TRANS))
 (15 15 (:REWRITE SUBSETP-MEMBER . 2))
 (14 2 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (12 12 (:REWRITE SUBSETP-MEMBER . 4))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (9 3 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-1))
 (9 3 (:REWRITE APPEND-OF-NIL))
 (6 6 (:REWRITE COLLAPSE-ITER-OF-COLLAPSE-ITER))
 (6 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (4 4 (:REWRITE NAT-LISTP-OF-FRAME-ADDRS-BEFORE))
 (2 1 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 )
(MEMBER-OF-FRAME-ADDRS-BEFORE
 (3644164 3992 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2656808 23968 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2372303 10416 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2112086 27040 (:REWRITE LEN-WHEN-PREFIXP))
 (744441 54086 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (717767 5267 (:DEFINITION NTHCDR))
 (623863 716 (:DEFINITION MEMBER-EQUAL))
 (557056 4415 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (551791 10416 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (538821 37 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (462542 462542 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (440422 27040 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (426560 54132 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (365568 10258 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (337176 3907 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (320174 117258 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (285094 7638 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (250690 5075 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (238054 237364 (:REWRITE DEFAULT-CAR))
 (228491 173287 (:REWRITE DEFAULT-<-2))
 (200654 173287 (:REWRITE DEFAULT-<-1))
 (167093 3751 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (161444 7638 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (152801 40013 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (127359 534 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (127030 127030 (:LINEAR LEN-WHEN-PREFIXP))
 (120371 120273 (:REWRITE DEFAULT-+-1))
 (91137 3913 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (86403 468 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (81156 315 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (77894 44456 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (61239 61239 (:LINEAR POSITION-WHEN-MEMBER))
 (61239 61239 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (55804 55114 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (55422 54048 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (55114 55114 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (55114 55114 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (52009 266 (:REWRITE FRAME->ROOT-OF-COLLAPSE-THIS))
 (51311 5968 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (51128 20828 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (50656 20828 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (48329 4211 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (47671 345 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (44212 18196 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (41055 1062 (:REWRITE SUBSETP-CAR-MEMBER))
 (40750 153 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (38453 459 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (38366 12001 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (38154 12718 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (36383 153 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (35720 1496 (:DEFINITION NATP))
 (34848 459 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (33972 114 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (32639 1145 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (24733 14837 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 3))
 (24628 1062 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (23968 23968 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (23968 23968 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (23968 23968 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (23968 23968 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (23831 23831 (:REWRITE EQUAL-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (23798 11740 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (23718 11740 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18374 18374 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (18374 18374 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (18356 18356 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16598 5069 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (16054 150 (:LINEAR LEN-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (15276 7638 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (14521 6922 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (13593 912 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (13451 1498 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (12053 12053 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (11960 11960 (:TYPE-PRESCRIPTION STRIP-CARS))
 (11478 11478 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (11412 1206 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (11252 6072 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (10427 345 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (10138 10138 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (9720 1035 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (8805 228 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (8654 8654 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (8142 8142 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (8132 8132 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8096 8096 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (8058 228 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (8015 940 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (7844 3913 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (7824 3907 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (7557 1438 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (7374 228 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (7031 821 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6854 6854 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6405 31 (:REWRITE FRAME-VAL->DIR-OF-FRAME-VAL))
 (6396 123 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (6381 2393 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (6264 6264 (:TYPE-PRESCRIPTION CTX-APP))
 (6072 6072 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (6042 2866 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (5880 2018 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (5841 228 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (5800 162 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (5798 5798 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (5736 555 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (5579 5579 (:TYPE-PRESCRIPTION ABS-FS-P))
 (5430 3427 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5276 5053 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (5205 2356 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (5035 922 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (4872 4872 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (4854 345 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (4701 228 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (4263 813 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (4200 300 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (4198 4048 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4192 393 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (4040 58 (:REWRITE SUBSETP-OF-CONS))
 (3802 162 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (3770 1186 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (3751 3751 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (3636 922 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (3636 922 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (3463 3463 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (2858 2858 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2855 204 (:REWRITE FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (2800 2800 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (2752 2752 (:REWRITE SUBSETP-TRANS2))
 (2752 2752 (:REWRITE SUBSETP-TRANS))
 (2724 1362 (:REWRITE SET-EQUIV-ASYM))
 (2626 1008 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (2400 2400 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (2316 2316 (:TYPE-PRESCRIPTION NAMES-AT))
 (2100 300 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (2065 592 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (1984 478 (:DEFINITION STRIP-CARS))
 (1840 228 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (1818 315 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1807 593 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1776 592 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (1710 652 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (1646 1610 (:REWRITE CONSP-OF-STRIP-CARS))
 (1594 1594 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1582 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (1569 2 (:DEFINITION REMOVE-EQUAL))
 (1559 1559 (:REWRITE SUBSETP-MEMBER . 2))
 (1503 1503 (:REWRITE SUBSETP-MEMBER . 4))
 (1503 1503 (:REWRITE INTERSECTP-MEMBER . 3))
 (1503 1503 (:REWRITE INTERSECTP-MEMBER . 2))
 (1400 690 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (1282 1282 (:TYPE-PRESCRIPTION DIST-NAMES))
 (1246 14 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (1224 204 (:REWRITE FRAME-P-OF-COLLAPSE-THIS))
 (1178 1178 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (1062 1062 (:REWRITE SUBSETP-OF-CDR))
 (1041 33 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1035 1035 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (1035 1035 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (1035 1035 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (1035 1035 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1035 1035 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1035 1035 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (1035 1035 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (1035 1035 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (1035 1035 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (1035 1035 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (1035 1035 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (1035 1035 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (1028 504 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (958 338 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (934 934 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (924 924 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (924 924 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (900 900 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (772 772 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (756 756 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (690 690 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (690 690 (:REWRITE INTERSECTP-MEMBER . 1))
 (684 684 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (648 315 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (644 12 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (630 630 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (612 612 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (593 593 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (546 42 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (540 113 (:LINEAR COLLAPSE-1ST-INDEX-CORRECTNESS-1))
 (536 536 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (488 244 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (462 462 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (462 462 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (456 456 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (456 456 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (456 132 (:REWRITE COLLAPSE-1ST-INDEX-WHEN-ABSENT))
 (420 42 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (378 186 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (352 128 (:REWRITE LEN-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (310 186 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (310 186 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (300 300 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (300 300 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (298 298 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (294 42 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (261 87 (:REWRITE COLLAPSE-OF-COLLAPSE-ITER))
 (244 244 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (228 228 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (228 228 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (217 62 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
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 (155 31 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
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 (7 6 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 )
(NO-DUPLICATESP-OF-FRAME-ADDRS-BEFORE
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 (908 38 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
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 (392 56 (:DEFINITION LEN))
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 (318 72 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
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 (291 219 (:REWRITE DEFAULT-+-2))
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 (252 12 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (246 47 (:DEFINITION STRIP-CARS))
 (219 219 (:REWRITE DEFAULT-+-1))
 (204 204 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (201 39 (:REWRITE NFIX-WHEN-ZP))
 (194 122 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (192 180 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
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 (192 48 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (192 32 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (184 148 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (180 180 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (152 152 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (148 148 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (148 148 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (148 3 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-7))
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 (80 16 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-3))
 (76 38 (:REWRITE SET-EQUIV-ASYM))
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 (46 46 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
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 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 8))
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 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 4))
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 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 2))
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 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 )
(FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE
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 (403218 1251 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
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 (74200 32 (:REWRITE MEMBER-OF-FRAME-ADDRS-BEFORE))
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 (3419 3419 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
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 (2771 26 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (2690 584 (:DEFINITION STRIP-CARS))
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 (2233 81 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (2071 2071 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1958 1958 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (1940 1940 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1934 967 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
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 (1754 800 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
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 (1655 831 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (1629 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
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 (901 313 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
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 (560 560 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
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 (496 496 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
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 (367 143 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
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 (265 265 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
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 (242 12 (:REWRITE SUBSETP-CONS-2))
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 (218 218 (:TYPE-PRESCRIPTION NATP))
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 (148 148 (:TYPE-PRESCRIPTION COLLAPSE-ITER))
 (147 49 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (146 146 (:REWRITE SUBSETP-OF-CDR))
 (135 45 (:REWRITE FOLD-CONSTS-IN-+))
 (123 123 (:TYPE-PRESCRIPTION CTX-APP))
 (114 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (108 108 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (104 8 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (84 6 (:REWRITE FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-THIS))
 (84 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-4))
 (81 81 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (81 81 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (80 8 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (79 7 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (74 26 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (72 3 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (68 2 (:REWRITE FRAME-VAL-FIX-WHEN-FRAME-VAL-P))
 (64 6 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (61 1 (:REWRITE ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (60 60 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (56 56 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (56 8 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (48 48 (:TYPE-PRESCRIPTION NAMES-AT))
 (42 6 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (36 6 (:REWRITE FRAME-P-OF-COLLAPSE-THIS))
 (36 2 (:REWRITE FRAME-P-OF-FRAME->FRAME-OF-COLLAPSE-ITER))
 (32 32 (:REWRITE-QUOTED-CONSTANT ABS-FS-FIX-UNDER-ABS-FS-EQUIV))
 (30 6 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (28 28 (:TYPE-PRESCRIPTION DIST-NAMES))
 (28 28 (:REWRITE SUBSETP-OF-REMOVE))
 (28 14 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (28 2 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (24 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24 4 (:DEFINITION BINARY-APPEND))
 (21 21 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (21 21 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (21 21 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (21 21 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (21 21 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (21 21 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (21 21 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (21 21 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (21 21 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (21 21 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (21 21 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (21 21 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (18 18 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (16 16 (:REWRITE NAT-LISTP-OF-FRAME-ADDRS-BEFORE))
 (16 16 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (16 8 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (14 14 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 1))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (12 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (12 6 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (12 4 (:REWRITE APPEND-OF-NIL))
 (10 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (10 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (8 4 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (8 2 (:REWRITE DISTRIBUTIVITY-OF-MINUS-OVER-+))
 (7 2 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (6 6 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (6 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (6 1 (:REWRITE FRAME-VAL->PATH-OF-FRAME-VAL))
 (5 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (4 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 4 (:REWRITE ABS-NO-DUPS-P-OF-FRAME->ROOT))
 (3 3 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (3 3 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (3 1 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION FRAME-VAL-FIX$INLINE))
 (2 2 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 )
(GOOD-FRAME-P
 (33 11 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (22 11 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (11 11 (:TYPE-PRESCRIPTION ZP))
 (11 11 (:TYPE-PRESCRIPTION LEN))
 )
(COLLAPSE-EQUIV)
(COLLAPSE-EQUIV-IS-AN-EQUIVALENCE
 (708 40 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (645 6 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (318 6 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (243 18 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (216 9 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (193 40 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (108 9 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (108 9 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (108 9 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (107 107 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (99 9 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (80 80 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (78 18 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (54 54 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (54 27 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (54 18 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (54 18 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (54 9 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (49 49 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (45 18 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (40 40 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (40 40 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (40 40 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (40 40 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (39 13 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (36 36 (:TYPE-PRESCRIPTION FRAME-P))
 (36 36 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (27 27 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (27 9 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (18 18 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (18 18 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (18 18 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (13 13 (:TYPE-PRESCRIPTION ABS-FS-P))
 (13 13 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (13 13 (:REWRITE ABS-FS-P-OF-COLLAPSE))
 )
(COLLAPSE-OF-FRAME-WITH-ROOT-OF-FRAME->ROOT-AND-FRAME->FRAME
 (105028 1867 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (83293 496 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (78901 620 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (72852 535 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (58566 280 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (58383 248 (:DEFINITION NTHCDR))
 (53591 788 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (50819 87 (:REWRITE FRAME-ADDRS-ROOT-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (49829 10492 (:REWRITE DEFAULT-CDR))
 (45680 9 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (40988 5860 (:DEFINITION LEN))
 (39493 373 (:REWRITE LEN-WHEN-PREFIXP))
 (37912 20 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (36016 6055 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (33428 20 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (32139 496 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (28954 66 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (22039 86 (:REWRITE ABS-FS-P-OF-CTX-APP))
 (21866 783 (:REWRITE NFIX-WHEN-ZP))
 (19136 310 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (17020 206 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (14935 33 (:REWRITE EQUAL-OF-FRAME-VAL))
 (13150 13150 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12216 6356 (:REWRITE DEFAULT-+-2))
 (12084 4008 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (12024 4008 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (11803 171 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE))
 (9012 76 (:REWRITE WHEN-ZP-SRC-OF-1ST-COLLAPSE-1))
 (8969 308 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (8961 2987 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (8961 2987 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8639 155 (:DEFINITION PUT-ASSOC-EQUAL))
 (7546 209 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (7469 373 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6634 82 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 3))
 (6356 6356 (:REWRITE DEFAULT-+-1))
 (6136 6136 (:LINEAR LEN-WHEN-PREFIXP))
 (5385 10 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-4))
 (5218 1624 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (4528 4528 (:TYPE-PRESCRIPTION FRAME-P))
 (4408 4408 (:TYPE-PRESCRIPTION ZP))
 (4029 86 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (3905 308 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (3768 258 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (3479 3479 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (3414 1955 (:REWRITE DEFAULT-<-2))
 (2987 2987 (:LINEAR POSITION-WHEN-MEMBER))
 (2987 2987 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2754 1725 (:REWRITE DEFAULT-CAR))
 (2597 20 (:REWRITE DIFFERENT-FROM-OWN-SRC-1))
 (2533 1624 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2328 1955 (:REWRITE DEFAULT-<-1))
 (2012 2012 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (1969 653 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1950 312 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1922 206 (:REWRITE CTX-APP-WHEN-NOT-CTX-APP-OK))
 (1808 134 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (1805 491 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1803 601 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1677 788 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1677 788 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1644 8 (:REWRITE CTX-APP-OK-OF-ABS-FS-FIX-1))
 (1546 148 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-2))
 (1517 467 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1500 8 (:REWRITE CTX-APP-OK-OF-CTX-APP-1))
 (1462 1462 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1396 1396 (:TYPE-PRESCRIPTION PREFIXP))
 (1349 1349 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (1183 1183 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (1177 130 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (1054 783 (:REWRITE NFIX-WHEN-NATP))
 (1050 158 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1000 120 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (936 936 (:TYPE-PRESCRIPTION NAMES-AT))
 (936 312 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (936 312 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (926 310 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (920 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (905 68 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-3))
 (788 788 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (788 788 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (788 788 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (788 788 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (750 750 (:TYPE-PRESCRIPTION NFIX))
 (744 248 (:REWRITE COMMUTATIVITY-OF-+))
 (740 5 (:REWRITE ABS-SEPARATE-OF-PUT-ASSOC))
 (702 702 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (678 678 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (664 16 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (660 209 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (648 648 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (635 110 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (616 616 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (616 308 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (615 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (605 175 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (585 585 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (585 10 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (582 324 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (569 324 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (560 560 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (520 520 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (512 512 (:TYPE-PRESCRIPTION DIST-NAMES))
 (507 97 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (501 29 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (496 496 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (496 496 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (491 491 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (486 243 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (483 483 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (452 170 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (450 450 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (448 224 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (436 164 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 1))
 (430 30 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (418 418 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (405 10 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (398 214 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (395 395 (:TYPE-PRESCRIPTION ABS-FS-FIX))
 (386 16 (:REWRITE FRAME-P-OF-PUT-ASSOC))
 (377 82 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-7))
 (368 368 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (342 171 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (341 29 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (332 332 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (328 328 (:TYPE-PRESCRIPTION CTX-APP))
 (316 158 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (312 312 (:REWRITE SUBSETP-TRANS2))
 (312 312 (:REWRITE SUBSETP-TRANS))
 (312 312 (:REWRITE NAMES-AT-WHEN-PREFIXP))
 (304 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (298 298 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (294 260 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (288 16 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (280 280 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (258 258 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (258 258 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (258 258 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (258 258 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (258 258 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (258 258 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (258 258 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (258 258 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (258 258 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (258 258 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (258 258 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (258 258 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (256 96 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-1 . 2))
 (248 248 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (243 243 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (242 8 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (242 8 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (224 224 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (214 214 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (206 206 (:REWRITE CTX-APP-WHEN-NOT-NATP))
 (192 8 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (184 184 (:REWRITE 1ST-COMPLETE-OF-REMOVE-ASSOC-1))
 (176 24 (:REWRITE ABS-ADDRS-OF-CTX-APP-2))
 (172 172 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (172 172 (:REWRITE INTERSECTP-MEMBER . 1))
 (165 33 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (162 162 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (155 5 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (141 68 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-11))
 (141 68 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (110 15 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (99 99 (:TYPE-PRESCRIPTION FRAME-VAL))
 (95 10 (:DEFINITION STRIP-CARS))
 (88 24 (:REWRITE ABS-ADDRS-OF-CTX-APP))
 (85 10 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (80 16 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (75 15 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (75 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-REMOVE-ASSOC))
 (73 73 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (73 73 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (65 20 (:REWRITE DIST-NAMES-OF-PUT-ASSOC-EQUAL))
 (65 5 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (61 61 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (58 58 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (52 52 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (50 10 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (33 33 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (32 32 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (32 32 (:REWRITE ABS-FILE-ALIST-P-OF-CTX-APP))
 (32 16 (:REWRITE ABS-SEPARATE-OF-COLLAPSE-THIS-LEMMA-6))
 (32 16 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (30 30 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (20 20 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (16 16 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (15 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12 4 (:REWRITE CTX-APP-OF-ABS-FS-FIX-1))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (8 8 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (8 8 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FS-FIX))
 (4 4 (:REWRITE FRAME-WITH-ROOT-OF-ABS-FS-FIX))
 )
(FRAME-REPS-FS
 (33 11 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (11 11 (:TYPE-PRESCRIPTION ZP))
 (11 11 (:TYPE-PRESCRIPTION LEN))
 (11 11 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 )
(FRAME-REPS-FS-OF-COLLAPSE-1
 (564 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (542 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (500 2 (:DEFINITION MEMBER-EQUAL))
 (496 30 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (335 31 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (266 8 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (244 22 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (202 14 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (198 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (192 10 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (180 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (138 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (116 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (103 103 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (102 20 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (88 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (83 23 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (64 14 (:DEFINITION STRIP-CARS))
 (64 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (60 60 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (59 14 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (58 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (56 50 (:REWRITE DEFAULT-CAR))
 (56 32 (:REWRITE DEFAULT-CDR))
 (51 14 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (48 30 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (48 2 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (44 6 (:DEFINITION ASSOC-EQUAL))
 (40 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (38 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (30 30 (:TYPE-PRESCRIPTION ABS-FS-P))
 (28 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (23 23 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (21 7 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (21 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (20 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (17 17 (:REWRITE SUBSETP-TRANS))
 (15 15 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (14 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (13 7 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (12 12 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (10 4 (:REWRITE MEMBER-WHEN-ATOM))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (7 7 (:TYPE-PRESCRIPTION ZP))
 (7 7 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7 7 (:TYPE-PRESCRIPTION LEN))
 (6 6 (:TYPE-PRESCRIPTION FRAME-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION NAT-LISTP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(GOOD-FRAME-P-WHEN-FRAME-REPS-FS
 (564 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (542 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (500 2 (:DEFINITION MEMBER-EQUAL))
 (496 30 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (335 31 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (266 8 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (244 22 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (202 14 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (198 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (192 10 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (180 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (138 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (116 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (103 103 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (102 20 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (88 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (83 23 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (64 14 (:DEFINITION STRIP-CARS))
 (64 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (60 60 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (59 14 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (58 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (56 50 (:REWRITE DEFAULT-CAR))
 (53 32 (:REWRITE DEFAULT-CDR))
 (51 14 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (48 30 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (48 2 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (44 6 (:DEFINITION ASSOC-EQUAL))
 (40 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (38 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (30 30 (:TYPE-PRESCRIPTION ABS-FS-P))
 (28 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (23 23 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (21 7 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (21 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (20 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (17 17 (:REWRITE SUBSETP-TRANS))
 (15 15 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (14 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (10 4 (:REWRITE MEMBER-WHEN-ATOM))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (7 7 (:TYPE-PRESCRIPTION ZP))
 (7 7 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7 7 (:TYPE-PRESCRIPTION LEN))
 (7 7 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION NAT-LISTP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(HIFAT-EQUIV-IMPLIES-EQUAL-FRAME-REPS-FS-2
 (796 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (564 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (542 4 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (500 2 (:DEFINITION MEMBER-EQUAL))
 (496 30 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (338 30 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (266 8 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (244 22 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (202 14 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (198 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (192 10 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (180 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (166 166 (:TYPE-PRESCRIPTION STRIP-CARS))
 (138 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (116 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (106 106 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (102 20 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (94 26 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (88 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (84 54 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (68 32 (:REWRITE DEFAULT-CDR))
 (68 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (64 16 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (64 14 (:DEFINITION STRIP-CARS))
 (64 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (60 60 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (58 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (56 50 (:REWRITE DEFAULT-CAR))
 (54 54 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (54 54 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (48 30 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (48 2 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (44 6 (:DEFINITION ASSOC-EQUAL))
 (40 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (38 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (30 30 (:TYPE-PRESCRIPTION ABS-FS-P))
 (30 10 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (28 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (26 26 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (22 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (20 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (20 16 (:REWRITE CONSP-OF-STRIP-CARS))
 (18 18 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (14 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (12 12 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (10 10 (:TYPE-PRESCRIPTION ZP))
 (10 10 (:TYPE-PRESCRIPTION LEN))
 (10 10 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (10 10 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (10 4 (:REWRITE MEMBER-WHEN-ATOM))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (6 6 (:TYPE-PRESCRIPTION SET-EQUIV))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 2 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (6 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION NAT-LISTP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 4))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (4 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (2 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(COLLAPSE-EQUIV-IMPLIES-EQUAL-FRAME-REPS-FS-1
 (24774 352 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (23794 176 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (21958 88 (:DEFINITION MEMBER-EQUAL))
 (21886 1327 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (15186 1396 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (11692 352 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (10754 974 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (8888 622 (:REWRITE ABS-FS-P-WHEN-HIFAT-NO-DUPS-P))
 (8796 266 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (8448 440 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (7920 176 (:REWRITE SUBSETP-CAR-MEMBER))
 (6072 176 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (5104 352 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (4488 886 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4079 1145 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3916 178 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (3031 760 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2909 760 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2864 624 (:DEFINITION STRIP-CARS))
 (2816 88 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (2654 2654 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2552 88 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (2192 1928 (:REWRITE DEFAULT-CAR))
 (2122 1327 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2112 88 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (1753 89 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (1672 88 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1275 425 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1232 176 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1232 168 (:DEFINITION ASSOC-EQUAL))
 (1145 1145 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1004 353 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (886 886 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (864 864 (:REWRITE SUBSETP-TRANS))
 (792 792 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (616 88 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (592 425 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (441 441 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (440 176 (:REWRITE MEMBER-WHEN-ATOM))
 (352 176 (:REWRITE SET-EQUIV-ASYM))
 (336 336 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (296 89 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (267 267 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (267 89 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (266 266 (:TYPE-PRESCRIPTION SET-EQUIV))
 (179 179 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (178 178 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (178 89 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (178 89 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (176 176 (:TYPE-PRESCRIPTION NATP))
 (176 176 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (176 176 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (176 176 (:REWRITE SUBSETP-OF-CDR))
 (176 176 (:REWRITE SUBSETP-MEMBER . 4))
 (176 176 (:REWRITE SUBSETP-MEMBER . 3))
 (176 176 (:REWRITE SUBSETP-MEMBER . 2))
 (176 176 (:REWRITE SUBSETP-MEMBER . 1))
 (176 176 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (176 176 (:REWRITE INTERSECTP-MEMBER . 3))
 (176 176 (:REWRITE INTERSECTP-MEMBER . 2))
 (166 58 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (120 120 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (105 105 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (105 105 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (105 105 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (105 105 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (88 88 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (88 88 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (58 58 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (58 58 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (56 56 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (2 2 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(FRAME-REPS-FS-CORRECTNESS-1)