File: oracle%40useless-runes.lsp

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acl2 8.6%2Bdfsg-2
links: PTS
area: main
in suites: trixie
size: 1,111,420 kB
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 (11336 lines) | stat: -rw-r--r-- 575,261 bytes
parent folder | download | duplicates (2)
(ABS-PWRIT1
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 (24 24 (:TYPE-PRESCRIPTION PREFIXP))
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 (1 1 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
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 )
(ABS-PWRIT1-CORRECTNESS-1
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 (10595 237 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (9482 9482 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (9402 3134 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (9026 645 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (8739 8739 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (8037 141 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (7854 2244 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (7818 7325 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (7804 61 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (7748 344 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7548 7548 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (7325 7325 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (7154 7154 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
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 (6718 6718 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (6268 3134 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (5967 5967 (:TYPE-PRESCRIPTION ABS-ADDRS))
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 (5714 5714 (:REWRITE SUBSETP-TRANS2))
 (5714 5714 (:REWRITE SUBSETP-TRANS))
 (5711 2260 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
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 (5073 254 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (4747 29 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (4604 20 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
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 (3058 3058 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2974 2012 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2961 987 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2803 2803 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
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 (2293 108 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
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 (2131 2131 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
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 (1974 1974 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1945 1945 (:REWRITE FAT32-FILENAME-LIST-P-OF-FILE-TABLE-ELEMENT->FID))
 (1924 1924 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
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 (1633 155 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (1600 1600 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
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 (1200 600 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
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 (998 998 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (987 987 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (987 141 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
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 (980 980 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (980 980 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
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 (876 292 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
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 (826 826 (:TYPE-PRESCRIPTION PREFIXP))
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 (688 344 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (683 683 (:LINEAR POSITION-WHEN-MEMBER))
 (683 683 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (630 219 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (609 609 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (600 600 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (584 584 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (584 292 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
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 (564 564 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
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 (414 414 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (344 344 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
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 (316 316 (:TYPE-PRESCRIPTION PATH-CLEAR))
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 (282 282 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
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 (54 54 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (52 52 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (20 20 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (18 6 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (18 6 (:DEFINITION NFIX))
 (12 12 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (12 12 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (12 12 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (9 9 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (9 9 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (4 2 (:REWRITE UNICITY-OF-0))
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 (3 3 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (2 2 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 )
(CP-SPEC-4
 (6 2 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2 2 (:TYPE-PRESCRIPTION LEN))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-17
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 (100886 372 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
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 (89507 13 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
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 (68496 13 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
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 (57956 3964 (:DEFINITION LEN))
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 (30751 828 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
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 (8772 1732 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
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 (8280 2760 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
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 (7238 48 (:DEFINITION NTHCDR))
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 (2824 2824 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2760 2760 (:LINEAR POSITION-WHEN-MEMBER))
 (2760 2760 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2529 1232 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
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 (2184 371 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
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 (2070 2070 (:TYPE-PRESCRIPTION PATH-CLEAR))
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 (1984 1732 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
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 (1867 1867 (:TYPE-PRESCRIPTION PREFIXP))
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 (1581 1581 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (1420 1420 (:TYPE-PRESCRIPTION STRIP-CARS))
 (1420 1420 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
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 (990 260 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (971 499 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (924 44 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (920 389 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
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 (877 351 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (837 31 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (833 833 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
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 (799 116 (:DEFINITION STRIP-CARS))
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 (772 350 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (702 702 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
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 (555 102 (:TYPE-PRESCRIPTION NOT-CTX-APP-OK-WHEN-STRINGP))
 (543 543 (:TYPE-PRESCRIPTION ABS-FS-P))
 (529 183 (:TYPE-PRESCRIPTION ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (519 243 (:REWRITE CONSP-OF-STRIP-CARS))
 (484 44 (:REWRITE SUBSETP-CAR-MEMBER))
 (444 444 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (435 87 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (424 138 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 2))
 (389 389 (:REWRITE SUBSETP-TRANS2))
 (389 389 (:REWRITE SUBSETP-TRANS))
 (359 359 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (357 78 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (346 142 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-17))
 (331 331 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (308 44 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (300 96 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (290 145 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (276 93 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (269 106 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-93))
 (268 268 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (260 260 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (254 254 (:TYPE-PRESCRIPTION NFIX))
 (253 83 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (248 140 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-8 . 1))
 (244 106 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-92))
 (242 242 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
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 (242 48 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-15))
 (234 142 (:TYPE-PRESCRIPTION 1ST-COMPLETE-CORRECTNESS-1))
 (216 216 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (214 214 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (214 214 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (209 209 (:TYPE-PRESCRIPTION NATP))
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 (186 186 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (176 88 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (176 44 (:REWRITE MEMBER-WHEN-ATOM))
 (163 163 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (158 158 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (158 79 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (156 156 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (156 78 (:REWRITE DEFAULT-UNARY-MINUS))
 (149 50 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (144 48 (:REWRITE COMMUTATIVITY-OF-+))
 (115 115 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (112 112 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (105 105 (:REWRITE ABS-ADDRS-OF-CTX-APP-LIST))
 (102 102 (:TYPE-PRESCRIPTION CTX-APP-OK))
 (102 63 (:REWRITE CTX-APP-OK-WHEN-NOT-NATP))
 (99 39 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-7))
 (88 88 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (88 88 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (88 44 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (88 44 (:REWRITE SET-EQUIV-ASYM))
 (87 87 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (86 86 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (77 77 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (72 36 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-108 . 1))
 (70 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-1))
 (69 23 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (60 42 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (52 13 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (51 28 (:REWRITE NOT-CTX-APP-OK-WHEN-STRINGP))
 (48 48 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (47 47 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (46 14 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-9))
 (44 44 (:TYPE-PRESCRIPTION SET-EQUIV))
 (44 44 (:REWRITE SUBSETP-OF-CDR))
 (44 44 (:REWRITE SUBSETP-MEMBER . 4))
 (44 44 (:REWRITE SUBSETP-MEMBER . 3))
 (44 44 (:REWRITE SUBSETP-MEMBER . 2))
 (44 44 (:REWRITE SUBSETP-MEMBER . 1))
 (44 44 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (44 44 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (44 44 (:REWRITE INTERSECTP-MEMBER . 3))
 (44 44 (:REWRITE INTERSECTP-MEMBER . 2))
 (44 44 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (41 13 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-13))
 (34 34 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (28 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-73))
 (23 23 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (15 1 (:DEFINITION ATOM))
 (13 13 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-14))
 (1 1 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (1 1 (:REWRITE MV-NTH-OF-CONS))
 )
(LEMMA-1)
(GOOD-FRAME-P-OF-PARTIAL-COLLAPSE
 (807 7 (:DEFINITION STRIP-CARS))
 (686 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (539 45 (:REWRITE DEFAULT-CDR))
 (479 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (448 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (314 20 (:DEFINITION ASSOC-EQUAL))
 (265 13 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (260 15 (:REWRITE ZP-OPEN))
 (238 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (228 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (220 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (199 6 (:REWRITE CONSP-OF-STRIP-CARS))
 (180 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (165 15 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (157 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (156 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (155 155 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (143 39 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (140 10 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (128 10 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (116 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (116 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (100 100 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (81 27 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (78 75 (:REWRITE DEFAULT-CAR))
 (75 1 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (63 17 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (61 61 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (61 61 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (60 15 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (60 3 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (57 57 (:TYPE-PRESCRIPTION ZP))
 (45 15 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (40 30 (:REWRITE DEFAULT-<-2))
 (38 38 (:TYPE-PRESCRIPTION STRIP-CARS))
 (35 10 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (33 33 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (32 24 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (31 11 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (30 30 (:REWRITE DEFAULT-<-1))
 (29 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (28 28 (:TYPE-PRESCRIPTION LEN))
 (28 13 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (27 6 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (27 1 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (26 26 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (24 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (23 10 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (21 1 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (17 17 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (15 15 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (15 15 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (15 3 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-17))
 (15 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (11 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (10 10 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (10 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (10 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-108 . 2))
 (9 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (8 1 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (7 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (7 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (6 6 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 3 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 1 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (4 4 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 1 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (3 3 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (3 3 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (2 2 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-108 . 1))
 (2 2 (:REWRITE ABS-ADDRS-OF-CTX-APP-LIST))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION NAT-LISTP))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE SUBSETP-MEMBER . 4))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 (1 1 (:REWRITE SUBSETP-MEMBER . 2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1 1 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 )
(GOOD-FRAME-P-OF-ABS-PWRIT1
 (184402 14 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (183868 110 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (183278 60 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (135200 180 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (125211 5773 (:REWRITE DEFAULT-CDR))
 (104480 220 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (98808 1588 (:DEFINITION STRIP-CARS))
 (97133 25 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (89442 408 (:DEFINITION LEN))
 (87089 46 (:REWRITE STR::CONSP-OF-EXPLODE))
 (69000 624 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (53418 1415 (:REWRITE ZP-OPEN))
 (52100 220 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (48810 40 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (48310 40 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (48150 20 (:DEFINITION NAT-EQUIV$INLINE))
 (47840 20 (:DEFINITION NTHCDR))
 (44440 220 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (42118 1866 (:DEFINITION ASSOC-EQUAL))
 (36916 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (36872 2 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (32960 40 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (32020 140 (:REWRITE NFIX-WHEN-ZP))
 (23480 40 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-108 . 2))
 (23080 80 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-108 . 1))
 (22720 60 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (21084 774 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (19092 444 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (18762 10304 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (17646 484 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (17090 20 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (16990 20 (:REWRITE CONSP-OF-NTHCDR))
 (16260 1355 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (15680 60 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (14987 797 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (13944 624 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (13902 13902 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (13420 220 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (13014 4144 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (12432 4144 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (12432 888 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (11724 624 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (10700 797 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (9940 9940 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8991 8991 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (8822 8822 (:REWRITE DEFAULT-CAR))
 (6871 6871 (:TYPE-PRESCRIPTION ZP))
 (6780 6780 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (5680 40 (:REWRITE CTX-APP-OK-OF-CTX-APP-LIST-SEQ-LEMMA-1))
 (5560 40 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 1))
 (5517 1839 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (5420 1355 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (5348 5348 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (5127 224 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (5002 224 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4940 40 (:REWRITE VALID-SEQP-WHEN-PREFIXP))
 (4591 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (4420 40 (:REWRITE CONSP-OF-STRIP-CARS))
 (4418 84 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (4065 1355 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (3996 1332 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (3964 2906 (:REWRITE DEFAULT-<-2))
 (3950 60 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 2))
 (3940 799 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (3756 186 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (3712 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (3668 524 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-FRAME->FRAME))
 (3429 81 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (3381 123 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (3370 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (3282 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (3265 444 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (3120 520 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (3072 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (2952 2906 (:REWRITE DEFAULT-<-1))
 (2806 562 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2706 2706 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (2664 888 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (2640 220 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2523 2523 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (2322 774 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (2200 200 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-8))
 (2064 2064 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1994 1571 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1868 774 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1800 100 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (1765 1765 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (1680 24 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1629 83 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1628 1628 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (1612 1612 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (1612 403 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (1598 1598 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1594 1594 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1571 1571 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1554 1554 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1470 490 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1470 490 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1452 484 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (1432 1432 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (1355 1355 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (1180 1180 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1166 797 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1122 1122 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1122 1122 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1100 220 (:REWRITE SUBSETP-CAR-MEMBER))
 (1084 1084 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (1056 24 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (993 269 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (980 980 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (959 959 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (950 950 (:TYPE-PRESCRIPTION ABS-FIND-FILE-SRC))
 (903 471 (:REWRITE DEFAULT-+-2))
 (822 224 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (806 806 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (774 774 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (774 774 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (774 774 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (774 774 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (774 774 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (749 749 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (684 24 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (660 220 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (604 29 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-17))
 (490 490 (:LINEAR POSITION-WHEN-MEMBER))
 (490 490 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (484 471 (:REWRITE DEFAULT-+-1))
 (470 140 (:REWRITE NFIX-WHEN-NATP))
 (466 29 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (444 444 (:TYPE-PRESCRIPTION DIST-NAMES))
 (420 80 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-7))
 (408 408 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (400 60 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (380 40 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (354 132 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (348 69 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (345 345 (:REWRITE FAT32-FILENAME-LIST-P-OF-FILE-TABLE-ELEMENT->FID))
 (340 20 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (300 300 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (297 297 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (285 75 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (280 60 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (280 10 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (270 3 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (269 269 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (253 92 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (250 30 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (246 246 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (240 240 (:REWRITE SUBSETP-REFL))
 (230 230 (:TYPE-PRESCRIPTION NATP))
 (225 29 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (224 224 (:REWRITE SUBSETP-TRANS2))
 (224 224 (:REWRITE SUBSETP-TRANS))
 (220 220 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (220 220 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (220 220 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (210 10 (:DEFINITION NATP))
 (200 200 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (200 80 (:TYPE-PRESCRIPTION FINAL-VAL-SEQ-OF-COLLAPSE-THIS-LEMMA-6))
 (183 183 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (174 174 (:TYPE-PRESCRIPTION PREFIXP))
 (156 52 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (132 6 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (123 123 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (120 120 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (120 60 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (114 6 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (112 112 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (103 103 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (100 100 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (100 10 (:REWRITE LEN-OF-DIRNAME))
 (96 6 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (96 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (80 80 (:TYPE-PRESCRIPTION VALID-SEQP))
 (80 80 (:TYPE-PRESCRIPTION STRIP-CARS))
 (80 80 (:TYPE-PRESCRIPTION NFIX))
 (80 80 (:TYPE-PRESCRIPTION M1-FILE-P))
 (80 80 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (80 40 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (80 10 (:DEFINITION NFIX))
 (72 66 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (69 69 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (60 60 (:TYPE-PRESCRIPTION NAMES-AT))
 (60 60 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (60 60 (:REWRITE ABS-ADDRS-OF-CTX-APP-LIST))
 (60 20 (:REWRITE COMMUTATIVITY-OF-+))
 (58 58 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (58 29 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (46 46 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
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 (36 6 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (28 14 (:REWRITE DEFAULT-<-2))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (24 12 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (24 12 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (22 22 (:REWRITE DEFAULT-CAR))
 (20 14 (:REWRITE DEFAULT-<-1))
 (18 18 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-1))
 (18 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-FS-P))
 (12 12 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (12 1 (:REWRITE ABS-LSTAT-AFTER-ABS-MKDIR-2))
 (10 10 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (10 10 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 6 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-MKDIR-CORRECTNESS-3 . 2))
 (1 1 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-1 . 2))
 )
(ABS-OPEN-CORRECTNESS-2)
(ABS-CLOSE-CORRECTNESS-1
 (846 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (644 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (430 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (378 12 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (298 24 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (132 12 (:DEFINITION ASSOC-EQUAL))
 (130 8 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (120 40 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (116 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (114 26 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (110 54 (:REWRITE DEFAULT-CAR))
 (68 60 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (68 28 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (60 60 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (54 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (50 10 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (48 48 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (46 8 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (42 42 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (40 40 (:TYPE-PRESCRIPTION ABS-FS-P))
 (40 2 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (36 24 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (36 6 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (30 2 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (30 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (28 4 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (26 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (24 24 (:REWRITE DEFAULT-CDR))
 (24 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (22 2 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (18 18 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (18 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (18 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (16 12 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (16 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (16 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (14 14 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (14 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (14 2 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (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 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (12 4 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (9 9 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (8 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (7 7 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (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 2 (:REWRITE SET-EQUIV-ASYM))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (2 2 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 )
(ABS-CLOSE-CORRECTNESS-2)
(ABSFAT-ORACLE-MULTI-STEP-REFINEMENT-LEMMA-2
 (258 20 (:REWRITE NFIX-WHEN-ZP))
 (205 10 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (196 14 (:REWRITE ZP-OPEN))
 (183 43 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 (165 10 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (100 5 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (70 15 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (66 33 (:REWRITE DEFAULT-<-2))
 (47 23 (:REWRITE FAT-ST-FIX-WHEN-FAT-ST-P))
 (45 45 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 1))
 (38 33 (:REWRITE DEFAULT-<-1))
 (30 5 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (24 24 (:TYPE-PRESCRIPTION FAT-ST-P))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (20 16 (:REWRITE DEFAULT-CAR))
 (20 10 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (20 10 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (15 15 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-1))
 (15 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (14 14 (:TYPE-PRESCRIPTION ZP))
 (14 10 (:REWRITE DEFAULT-CDR))
 (10 10 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-FS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (5 5 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (5 5 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (5 5 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 )
(LOFAT-ORACLE-MULTI-STEP)
(LOFAT-ORACLE-MULTI-STEP-OF-TRUE-LIST-FIX
 (261 11 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (255 3 (:REWRITE CDR-OF-LIST-FIX))
 (165 11 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (66 11 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (64 12 (:DEFINITION LEN))
 (56 56 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (55 11 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (37 30 (:REWRITE DEFAULT-CDR))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (28 21 (:REWRITE DEFAULT-CAR))
 (26 13 (:REWRITE DEFAULT-+-2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (22 22 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (22 22 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (22 22 (:TYPE-PRESCRIPTION D-E-P))
 (22 22 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (22 11 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (13 13 (:REWRITE DEFAULT-+-1))
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 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 3 (:REWRITE CAR-OF-LIST-FIX))
 (3 3 (:REWRITE CONSP-OF-LIST-FIX))
 )
(LIST-EQUIV-IMPLIES-EQUAL-LOFAT-ORACLE-MULTI-STEP-2
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 (30 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (10 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (10 2 (:DEFINITION LEN))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6 4 (:REWRITE DEFAULT-CDR))
 (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 TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
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 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 2 (:REWRITE DEFAULT-CAR))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE SET::IN-SET))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(ABSFAT-ORACLE-MULTI-STEP)
(ABSFAT-ORACLE-MULTI-STEP-OF-TRUE-LIST-FIX
 (261 11 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (255 3 (:REWRITE CDR-OF-LIST-FIX))
 (165 11 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (66 11 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (64 12 (:DEFINITION LEN))
 (56 56 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
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 (37 30 (:REWRITE DEFAULT-CDR))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (28 21 (:REWRITE DEFAULT-CAR))
 (26 13 (:REWRITE DEFAULT-+-2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (22 22 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (22 22 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (22 22 (:TYPE-PRESCRIPTION D-E-P))
 (22 22 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (22 11 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (13 13 (:REWRITE DEFAULT-+-1))
 (11 11 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
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 (11 11 (:REWRITE SET::IN-SET))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 3 (:REWRITE CAR-OF-LIST-FIX))
 (3 3 (:REWRITE CONSP-OF-LIST-FIX))
 )
(LIST-EQUIV-IMPLIES-EQUAL-ABSFAT-ORACLE-MULTI-STEP-2
 (44 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (30 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (10 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (10 2 (:DEFINITION LEN))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6 4 (:REWRITE DEFAULT-CDR))
 (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 TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 2 (:REWRITE DEFAULT-CAR))
 (4 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE SET::IN-SET))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(GOOD-LOFAT-ORACLE-STEPS-P-HELPER
 (41 2 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (33 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (20 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (14 3 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (9 9 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 1))
 (8 4 (:REWRITE DEFAULT-+-2))
 (6 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5 5 (:REWRITE DEFAULT-CDR))
 (5 1 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 2 (:REWRITE DEFAULT-<-1))
 (4 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3 3 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-1))
 (3 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3 1 (:LINEAR HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT))
 (2 2 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1 1 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 )
(GOOD-LOFAT-ORACLE-STEPS-P-HELPER-OF-TRUE-LIST-FIX
 (305 13 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (255 3 (:REWRITE CDR-OF-LIST-FIX))
 (195 13 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (123 6 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (99 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (78 13 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (74 14 (:DEFINITION LEN))
 (70 14 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 (65 13 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (64 64 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (60 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (42 9 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (39 32 (:REWRITE DEFAULT-CDR))
 (37 29 (:REWRITE DEFAULT-CAR))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (30 15 (:REWRITE DEFAULT-+-2))
 (28 14 (:REWRITE DEFAULT-<-1))
 (27 27 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 1))
 (26 26 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (26 26 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
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 (26 13 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (24 24 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (24 14 (:REWRITE DEFAULT-<-2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (18 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (15 15 (:REWRITE DEFAULT-+-1))
 (13 13 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
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 (13 13 (:REWRITE SET::IN-SET))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER))
 (12 12 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (12 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (9 9 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-1))
 (9 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (9 3 (:LINEAR HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT))
 (6 6 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
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 (3 3 (:REWRITE CONSP-OF-LIST-FIX))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 )
(LIST-EQUIV-IMPLIES-EQUAL-GOOD-LOFAT-ORACLE-STEPS-P-HELPER-2
 (44 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (30 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
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 (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 TRUE-LISTP))
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 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
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 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
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 (2 2 (:REWRITE DEFAULT-+-1))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(LOFAT-ORACLE-MULTI-STEP-OF-APPEND
 (60 23 (:REWRITE DEFAULT-CDR))
 (43 34 (:REWRITE DEFAULT-CAR))
 (30 15 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (12 4 (:REWRITE CAR-OF-APPEND))
 (8 8 (:REWRITE CONSP-OF-APPEND))
 (5 5 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (4 4 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 )
(GOOD-LOFAT-ORACLE-STEPS-P-HELPER-OF-APPEND
 (165 33 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 (123 6 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (105 36 (:REWRITE DEFAULT-CDR))
 (99 6 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (74 65 (:REWRITE DEFAULT-CAR))
 (72 36 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (66 33 (:REWRITE DEFAULT-<-1))
 (60 33 (:REWRITE DEFAULT-<-2))
 (60 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (42 9 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (36 36 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (27 27 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 1))
 (27 9 (:REWRITE CAR-OF-APPEND))
 (18 18 (:REWRITE CONSP-OF-APPEND))
 (18 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (16 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (12 6 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (9 9 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-1))
 (9 9 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (9 3 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (9 3 (:LINEAR HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT))
 (6 6 (:TYPE-PRESCRIPTION LOFAT-FS-P))
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 (6 6 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (3 3 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (3 3 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (3 3 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 )
(ABSFAT-ORACLE-MULTI-STEP-OF-APPEND
 (60 23 (:REWRITE DEFAULT-CDR))
 (43 34 (:REWRITE DEFAULT-CAR))
 (30 15 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (15 15 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (12 4 (:REWRITE CAR-OF-APPEND))
 (8 8 (:REWRITE CONSP-OF-APPEND))
 (5 5 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (4 4 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 )
(INDUCTION-SCHEME
 (41 2 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (33 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (20 1 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (14 3 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (8 4 (:REWRITE DEFAULT-+-2))
 (6 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5 5 (:REWRITE DEFAULT-CDR))
 (5 1 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 2 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 2 (:REWRITE DEFAULT-<-1))
 (4 2 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3 3 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-1))
 (3 1 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (3 1 (:LINEAR HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT))
 (2 2 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FS-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1 1 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1 1 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1 1 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1 1 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 )
(LEMMA
 (4117 164 (:REWRITE TAKE-OF-TOO-MANY))
 (3411 156 (:REWRITE TAKE-OF-LEN-FREE))
 (2815 118 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (2340 90 (:DEFINITION BINARY-APPEND))
 (2300 438 (:REWRITE CONSP-OF-TAKE))
 (1992 447 (:REWRITE ZP-OPEN))
 (1977 1977 (:TYPE-PRESCRIPTION LEN))
 (1724 1468 (:REWRITE DEFAULT-<-2))
 (1722 84 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (1668 1668 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1560 312 (:DEFINITION LEN))
 (1517 1468 (:REWRITE DEFAULT-<-1))
 (1386 84 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1350 180 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1251 417 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1251 417 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1218 174 (:REWRITE CAR-OF-TAKE))
 (1116 381 (:REWRITE NFIX-WHEN-ZP))
 (1046 734 (:REWRITE DEFAULT-+-2))
 (1015 493 (:REWRITE DEFAULT-CDR))
 (976 976 (:TYPE-PRESCRIPTION TAKE))
 (840 42 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (834 834 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (734 734 (:REWRITE DEFAULT-+-1))
 (677 381 (:REWRITE NFIX-WHEN-NATP))
 (588 126 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (485 97 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-2))
 (444 148 (:REWRITE FOLD-CONSTS-IN-+))
 (444 148 (:DEFINITION NFIX))
 (417 417 (:LINEAR POSITION-WHEN-MEMBER))
 (417 417 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (381 381 (:TYPE-PRESCRIPTION NFIX))
 (378 378 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 1))
 (252 42 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (222 74 (:DEFINITION NATP))
 (183 183 (:REWRITE DEFAULT-CAR))
 (180 180 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (168 168 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (168 84 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (168 84 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (164 164 (:REWRITE TAKE-WHEN-ATOM))
 (126 126 (:REWRITE LOFAT-TO-HIFAT-CORRECTNESS-1))
 (126 42 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (84 84 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (84 84 (:TYPE-PRESCRIPTION ABS-FS-P))
 (84 84 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (74 74 (:TYPE-PRESCRIPTION NATP))
 (42 42 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (42 42 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (42 42 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT))
 (42 42 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (42 42 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (38 2 (:REWRITE CAR-OF-APPEND))
 (22 2 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (8 4 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (4 4 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(ABSFAT-ORACLE-MULTI-STEP-REFINEMENT-1)
(ABSFAT-ORACLE-MULTI-STEP-REFINEMENT-2)
(NONEMPTY-QUEUES
 (14011 4750 (:REWRITE DEFAULT-+-2))
 (8930 4750 (:REWRITE DEFAULT-+-1))
 (3840 444 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2939 1454 (:REWRITE DEFAULT-CDR))
 (2364 812 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2034 85 (:REWRITE TAKE-OF-LEN-FREE))
 (1916 6 (:LINEAR ACL2-COUNT-OF-CONS-GREATER))
 (1838 1505 (:REWRITE DEFAULT-<-2))
 (1804 1505 (:REWRITE DEFAULT-<-1))
 (1685 136 (:REWRITE NFIX-WHEN-ZP))
 (1620 1620 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1620 270 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (1332 1332 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (1332 888 (:REWRITE STR::CONSP-OF-EXPLODE))
 (936 312 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (936 312 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (917 908 (:REWRITE DEFAULT-CAR))
 (888 888 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (888 888 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (888 888 (:REWRITE DEFAULT-UNARY-MINUS))
 (776 776 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (776 776 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (706 49 (:DEFINITION NATP))
 (624 624 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (558 186 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (540 540 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (490 48 (:REWRITE CAR-OF-TAKE))
 (444 444 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (444 444 (:REWRITE DEFAULT-REALPART))
 (444 444 (:REWRITE DEFAULT-NUMERATOR))
 (444 444 (:REWRITE DEFAULT-IMAGPART))
 (444 444 (:REWRITE DEFAULT-DENOMINATOR))
 (312 312 (:LINEAR POSITION-WHEN-MEMBER))
 (312 312 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (270 270 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (264 46 (:DEFINITION NFIX))
 (244 20 (:REWRITE ACL2-COUNT-WHEN-MEMBER))
 (194 194 (:LINEAR ACL2-COUNT-WHEN-MEMBER))
 (144 40 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (88 88 (:TYPE-PRESCRIPTION ZP))
 (85 85 (:REWRITE TAKE-WHEN-ATOM))
 (81 9 (:REWRITE TAKE-WHEN-PREFIXP-REPLACEMENT . 1))
 (79 79 (:TYPE-PRESCRIPTION NATP))
 (66 3 (:REWRITE REPEAT-WHEN-ZP))
 (54 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (40 40 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (21 21 (:REWRITE PAINFUL-DEBUGGING-LEMMA-19))
 (20 20 (:REWRITE SUBSETP-MEMBER . 2))
 (20 20 (:REWRITE SUBSETP-MEMBER . 1))
 (18 18 (:TYPE-PRESCRIPTION PREFIXP))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (9 9 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(CONSP-OF-NONEMPTY-QUEUES-1
 (634 23 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (542 293 (:REWRITE DEFAULT-+-2))
 (468 60 (:REWRITE NFIX-WHEN-ZP))
 (371 344 (:REWRITE DEFAULT-CDR))
 (314 10 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (302 293 (:REWRITE DEFAULT-+-1))
 (279 15 (:REWRITE TAKE-OF-LEN-FREE))
 (254 20 (:DEFINITION ALISTP))
 (238 2 (:REWRITE TAKE-OF-TAKE-SPLIT))
 (169 101 (:REWRITE DEFAULT-<-2))
 (160 40 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (133 10 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (131 8 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (127 38 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (125 101 (:REWRITE DEFAULT-<-1))
 (124 124 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (109 13 (:REWRITE TAKE-WHEN-PREFIXP-REPLACEMENT . 1))
 (108 30 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (88 88 (:REWRITE DEFAULT-CAR))
 (80 80 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (72 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (70 70 (:TYPE-PRESCRIPTION ALISTP))
 (63 21 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (63 21 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (60 20 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (49 8 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (48 8 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (42 42 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (40 40 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (24 24 (:TYPE-PRESCRIPTION PREFIXP))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (24 1 (:REWRITE NTH-OF-TAKE))
 (22 22 (:TYPE-PRESCRIPTION ZP))
 (21 21 (:LINEAR POSITION-WHEN-MEMBER))
 (21 21 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (21 7 (:REWRITE LEN-OF-TAKE))
 (20 20 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (16 16 (:TYPE-PRESCRIPTION TRUE-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))
 (15 15 (:REWRITE TAKE-WHEN-ATOM))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (9 1 (:REWRITE D-E-P-OF-NTH-WHEN-D-E-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (8 8 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE SET::IN-SET))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 4 (:REWRITE PAINFUL-DEBUGGING-LEMMA-19))
 (3 3 (:REWRITE PAINFUL-DEBUGGING-LEMMA-18))
 (3 1 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (2 2 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(MEMBER-OF-NONEMPTY-QUEUES
 (15788 598 (:REWRITE TAKE-OF-TOO-MANY))
 (10477 526 (:REWRITE TAKE-OF-LEN-FREE))
 (9980 72 (:REWRITE TAKE-OF-TAKE-SPLIT))
 (8656 56 (:REWRITE TAKE-OF-CONS))
 (6775 56 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (6157 4120 (:REWRITE DEFAULT-+-2))
 (5772 83 (:DEFINITION ALISTP))
 (4704 4704 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4338 3508 (:REWRITE DEFAULT-CDR))
 (4287 68 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4120 4120 (:REWRITE DEFAULT-+-1))
 (3977 3484 (:REWRITE DEFAULT-<-2))
 (3597 3484 (:REWRITE DEFAULT-<-1))
 (2542 143 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2442 814 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2442 814 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2172 724 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1960 68 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1879 160 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (1708 486 (:DEFINITION NATP))
 (1628 1628 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1530 18 (:REWRITE SUBSETP-OF-CONS))
 (1386 114 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1314 114 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1102 154 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (989 57 (:REWRITE MEMBER-WHEN-ATOM))
 (989 57 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (962 131 (:REWRITE CONSP-OF-TAKE))
 (873 141 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (833 604 (:REWRITE DEFAULT-CAR))
 (814 814 (:LINEAR POSITION-WHEN-MEMBER))
 (814 814 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (768 18 (:REWRITE SUBSETP-CONS-2))
 (747 83 (:REWRITE TAKE-WHEN-PREFIXP-REPLACEMENT . 1))
 (718 526 (:REWRITE TAKE-WHEN-ATOM))
 (652 33 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (498 83 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (496 68 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (314 314 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (310 310 (:TYPE-PRESCRIPTION ALISTP))
 (214 27 (:REWRITE CAR-OF-TAKE))
 (208 68 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (204 68 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (166 166 (:TYPE-PRESCRIPTION PREFIXP))
 (166 166 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (162 27 (:REWRITE NATP-OF-CDAR-WHEN-FD-TABLE-P))
 (141 141 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (138 138 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (136 136 (:TYPE-PRESCRIPTION ABS-FS-P))
 (114 114 (:REWRITE SUBSETP-TRANS2))
 (114 114 (:REWRITE SUBSETP-TRANS))
 (114 114 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (112 16 (:REWRITE COMMUTATIVITY-2-OF-+))
 (88 88 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (83 83 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (70 70 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (70 70 (:REWRITE INTERSECTP-MEMBER . 3))
 (70 70 (:REWRITE INTERSECTP-MEMBER . 2))
 (70 70 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (70 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (69 69 (:REWRITE SUBSETP-MEMBER . 2))
 (68 68 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (57 57 (:REWRITE SUBSETP-MEMBER . 4))
 (54 54 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (48 16 (:REWRITE APPEND-OF-NIL))
 (35 5 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (32 16 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (30 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (27 27 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (27 27 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (25 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (25 5 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (16 16 (:REWRITE INVERSE-OF-+))
 (16 16 (:REWRITE DEFAULT-UNARY-MINUS))
 (11 11 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (7 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(NAT-LISTP-OF-NONEMPTY-QUEUES
 (1486 13 (:DEFINITION TAKE))
 (1143 13 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (1052 28 (:REWRITE TAKE-OF-TOO-MANY))
 (790 13 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (741 26 (:REWRITE TAKE-OF-LEN-FREE))
 (684 63 (:REWRITE NFIX-WHEN-ZP))
 (635 46 (:REWRITE ZP-OPEN))
 (504 9 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (495 99 (:DEFINITION LEN))
 (474 474 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (323 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (312 2 (:REWRITE TAKE-OF-TAKE-SPLIT))
 (298 181 (:REWRITE DEFAULT-+-2))
 (297 99 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (297 99 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (257 63 (:REWRITE NFIX-WHEN-NATP))
 (198 198 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (181 181 (:REWRITE DEFAULT-+-1))
 (178 139 (:REWRITE DEFAULT-<-2))
 (175 139 (:REWRITE DEFAULT-<-1))
 (165 2 (:REWRITE MEMBER-OF-CONS))
 (157 8 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (154 10 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (128 8 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (127 127 (:REWRITE DEFAULT-CDR))
 (126 17 (:DEFINITION NFIX))
 (125 17 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (117 39 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (99 99 (:LINEAR POSITION-WHEN-MEMBER))
 (99 99 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (90 9 (:DEFINITION ALISTP))
 (85 6 (:DEFINITION BINARY-APPEND))
 (72 18 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (63 6 (:REWRITE MEMBER-WHEN-ATOM))
 (63 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (62 16 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (51 17 (:REWRITE FOLD-CONSTS-IN-+))
 (45 45 (:TYPE-PRESCRIPTION ALISTP))
 (39 8 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (36 36 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (32 32 (:TYPE-PRESCRIPTION ZP))
 (28 28 (:REWRITE DEFAULT-CAR))
 (26 26 (:REWRITE TAKE-WHEN-ATOM))
 (24 8 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (21 7 (:REWRITE LEN-OF-TAKE))
 (20 1 (:REWRITE NTH-OF-TAKE))
 (18 18 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION ABS-FS-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (15 15 (:REWRITE PAINFUL-DEBUGGING-LEMMA-19))
 (14 6 (:REWRITE APPEND-OF-CONS-UNDER-SET-EQUIV))
 (13 13 (:REWRITE SUBSETP-MEMBER . 2))
 (13 13 (:REWRITE SUBSETP-MEMBER . 1))
 (12 12 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 6 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (9 9 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (9 9 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 8 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 8 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (8 1 (:REWRITE CONSP-OF-TAKE))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE PAINFUL-DEBUGGING-LEMMA-18))
 (4 2 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (2 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE LIST-FIX-UNDER-LIST-EQUIV))
 )
(SCHEDULE-QUEUES
 (14248 36 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (8050 509 (:REWRITE DEFAULT-<-1))
 (6322 44 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (5449 58 (:REWRITE ZP-OPEN))
 (4653 122 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2281 509 (:REWRITE DEFAULT-<-2))
 (932 382 (:REWRITE DEFAULT-+-2))
 (830 166 (:LINEAR NTH-WHEN-D-E-P))
 (682 22 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (586 586 (:TYPE-PRESCRIPTION D-E-P))
 (586 586 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (523 107 (:REWRITE NTH-WHEN-D-E-P . 3))
 (506 382 (:REWRITE DEFAULT-+-1))
 (462 154 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (392 24 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (380 380 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (374 22 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (300 33 (:REWRITE LEN-OF-FLATTEN-WHEN-D-E-LIST-P))
 (264 44 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (255 85 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (255 85 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (246 154 (:REWRITE NTH-WHEN-D-E-P . 2))
 (240 11 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (238 1 (:DEFINITION UPDATE-NTH))
 (230 23 (:DEFINITION ALISTP))
 (184 46 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (170 170 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (132 44 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (132 44 (:REWRITE MEMBER-WHEN-ATOM))
 (132 12 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (115 115 (:TYPE-PRESCRIPTION ALISTP))
 (114 13 (:REWRITE DEFAULT-UNARY-MINUS))
 (92 92 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (88 22 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (85 85 (:LINEAR POSITION-WHEN-MEMBER))
 (85 85 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (84 12 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (83 46 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (79 79 (:REWRITE SUBSETP-MEMBER . 2))
 (79 79 (:REWRITE SUBSETP-MEMBER . 1))
 (66 22 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (66 22 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (60 60 (:REWRITE DEFAULT-CAR))
 (60 20 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (57 57 (:TYPE-PRESCRIPTION ZP))
 (52 15 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (46 46 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (44 44 (:TYPE-PRESCRIPTION ABS-FS-P))
 (44 44 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (44 44 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (44 44 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (44 44 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (44 44 (:REWRITE INTERSECTP-MEMBER . 3))
 (44 44 (:REWRITE INTERSECTP-MEMBER . 2))
 (44 44 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (43 15 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (32 32 (:REWRITE SUBSETP-MEMBER . 4))
 (32 32 (:REWRITE SUBSETP-MEMBER . 3))
 (30 30 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (24 24 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (24 12 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (24 3 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (22 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (22 22 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (12 12 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (12 12 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (12 12 (:REWRITE SUBSETP-REFL))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 1))
 (12 12 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (11 11 (:REWRITE FOLD-CONSTS-IN-+))
 (9 1 (:REWRITE D-E-LIST-P-OF-UPDATE-NTH))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (6 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (2 1 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (1 1 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(ORACLE-PROG-2-CORRECTNESS-1
 (856 116 (:REWRITE DEFAULT-CAR))
 (754 88 (:REWRITE NFIX-WHEN-NATP))
 (726 34 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (716 88 (:REWRITE NFIX-WHEN-ZP))
 (610 194 (:TYPE-PRESCRIPTION MEMBER-OF-NONEMPTY-QUEUES))
 (608 46 (:DEFINITION NATP))
 (590 70 (:REWRITE ZP-OPEN))
 (414 200 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (398 4 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (374 20 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (354 310 (:REWRITE DEFAULT-<-2))
 (342 310 (:REWRITE DEFAULT-<-1))
 (254 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (232 232 (:TYPE-PRESCRIPTION NFIX))
 (204 8 (:REWRITE MEMBER-OF-CONS))
 (192 32 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (172 4 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (134 4 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (128 80 (:REWRITE DEFAULT-CDR))
 (108 18 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (96 4 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (84 84 (:TYPE-PRESCRIPTION NAT-LISTP))
 (80 40 (:LINEAR NTH-WHEN-D-E-P))
 (68 68 (:TYPE-PRESCRIPTION ZP))
 (64 2 (:DEFINITION UPDATE-NTH))
 (60 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (50 50 (:TYPE-PRESCRIPTION NATP))
 (42 42 (:TYPE-PRESCRIPTION D-E-P))
 (38 38 (:TYPE-PRESCRIPTION LEN))
 (34 14 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (32 32 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (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))
 (30 30 (:TYPE-PRESCRIPTION MIN))
 (24 8 (:DEFINITION ABSFAT-ORACLE-MULTI-STEP))
 (20 18 (:REWRITE NTH-WHEN-D-E-P . 2))
 (18 18 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (8 2 (:DEFINITION BINARY-APPEND))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-QUEUES))
 (4 4 (:TYPE-PRESCRIPTION CONSP-OF-NONEMPTY-QUEUES-1))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (4 4 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION ALISTP))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE NTH-WHEN-D-E-P . 3))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(ORACLE-PROG-3-CORRECTNESS-1
 (856 116 (:REWRITE DEFAULT-CAR))
 (754 88 (:REWRITE NFIX-WHEN-NATP))
 (726 34 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (716 88 (:REWRITE NFIX-WHEN-ZP))
 (610 194 (:TYPE-PRESCRIPTION MEMBER-OF-NONEMPTY-QUEUES))
 (608 46 (:DEFINITION NATP))
 (590 70 (:REWRITE ZP-OPEN))
 (414 200 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (398 4 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (374 20 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (354 310 (:REWRITE DEFAULT-<-2))
 (342 310 (:REWRITE DEFAULT-<-1))
 (254 6 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (232 232 (:TYPE-PRESCRIPTION NFIX))
 (204 8 (:REWRITE MEMBER-OF-CONS))
 (192 32 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (172 4 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (134 4 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (128 80 (:REWRITE DEFAULT-CDR))
 (108 18 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (96 4 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (84 84 (:TYPE-PRESCRIPTION NAT-LISTP))
 (80 40 (:LINEAR NTH-WHEN-D-E-P))
 (68 68 (:TYPE-PRESCRIPTION ZP))
 (64 2 (:DEFINITION UPDATE-NTH))
 (60 4 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (50 50 (:TYPE-PRESCRIPTION NATP))
 (42 42 (:TYPE-PRESCRIPTION D-E-P))
 (38 38 (:TYPE-PRESCRIPTION LEN))
 (34 14 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (32 32 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (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))
 (30 30 (:TYPE-PRESCRIPTION MIN))
 (24 8 (:DEFINITION ABSFAT-ORACLE-MULTI-STEP))
 (20 18 (:REWRITE NTH-WHEN-D-E-P . 2))
 (18 18 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (8 2 (:DEFINITION BINARY-APPEND))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-QUEUES))
 (4 4 (:TYPE-PRESCRIPTION CONSP-OF-NONEMPTY-QUEUES-1))
 (4 4 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (4 4 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION ALISTP))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE NTH-WHEN-D-E-P . 3))
 (2 2 (:REWRITE DEFAULT-+-2))
 (2 2 (:REWRITE DEFAULT-+-1))
 )
(CP-WITHOUT-SUBDIRS-HELPER)
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-1
 (64 16 (:DEFINITION BINARY-APPEND))
 (62 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (42 4 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (36 36 (:REWRITE DEFAULT-CAR))
 (34 34 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (33 32 (:REWRITE DEFAULT-CDR))
 (32 32 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (29 16 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (23 3 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14 7 (:REWRITE DEFAULT-+-2))
 (12 4 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 8 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (8 8 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (7 7 (:REWRITE DEFAULT-+-1))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE SET::IN-SET))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 )
(PLUS-LIST)
(PLUS-LIST-OF-APPEND
 (58 58 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (58 29 (:REWRITE DEFAULT-+-2))
 (58 29 (:REWRITE DEFAULT-+-1))
 (50 19 (:REWRITE DEFAULT-CDR))
 (29 26 (:REWRITE DEFAULT-CAR))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (12 4 (:REWRITE CAR-OF-APPEND))
 (8 8 (:REWRITE CONSP-OF-APPEND))
 (4 4 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 )
(PLUS-LIST-CORRECTNESS-1
 (489 14 (:REWRITE ACL2-NUMBER-LIST-FIX-WHEN-ACL2-NUMBER-LISTP))
 (433 14 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (377 14 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (241 17 (:DEFINITION INTEGER-LISTP))
 (198 33 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (65 65 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (54 50 (:REWRITE DEFAULT-CAR))
 (51 47 (:REWRITE DEFAULT-CDR))
 (36 34 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (33 33 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (33 33 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (33 33 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (14 14 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (14 14 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 )
(NONEMPTY-QUEUES-OF-APPEND
 (26822 297 (:DEFINITION TAKE))
 (16548 162 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (15025 162 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (14053 1599 (:REWRITE NFIX-WHEN-ZP))
 (13506 80 (:REWRITE TAKE-OF-TAKE-SPLIT))
 (13336 594 (:REWRITE TAKE-OF-LEN-FREE))
 (8659 5144 (:REWRITE DEFAULT-+-2))
 (7030 7030 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5584 5144 (:REWRITE DEFAULT-+-1))
 (5014 83 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (4564 137 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (4520 3237 (:REWRITE DEFAULT-<-2))
 (4132 3738 (:REWRITE DEFAULT-CDR))
 (4050 1350 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4050 1350 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3665 3237 (:REWRITE DEFAULT-<-1))
 (3655 527 (:DEFINITION NATP))
 (3562 193 (:DEFINITION ALISTP))
 (3442 533 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (3278 76 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3114 225 (:DEFINITION BINARY-APPEND))
 (2700 2700 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2445 815 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2440 8 (:REWRITE TAKE-OF-REPEAT))
 (1831 373 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (1573 76 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1524 650 (:REWRITE TAKE-WHEN-ATOM))
 (1476 64 (:REWRITE REPEAT-WHEN-ZP))
 (1350 1350 (:LINEAR POSITION-WHEN-MEMBER))
 (1350 1350 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1286 152 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1122 258 (:REWRITE LEN-OF-TAKE))
 (1088 32 (:REWRITE LEN-OF-REPEAT))
 (1034 78 (:REWRITE TAKE-WHEN-PREFIXP-REPLACEMENT . 1))
 (888 797 (:REWRITE DEFAULT-CAR))
 (851 851 (:TYPE-PRESCRIPTION ZP))
 (816 70 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (748 44 (:REWRITE CONSP-OF-REPEAT))
 (727 727 (:TYPE-PRESCRIPTION ALISTP))
 (720 720 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (694 31 (:REWRITE NTH-OF-TAKE))
 (689 91 (:REWRITE CONSP-OF-TAKE))
 (683 373 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (662 70 (:REWRITE MEMBER-WHEN-ATOM))
 (655 63 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (643 152 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (641 49 (:REWRITE PLUS-LIST-CORRECTNESS-1))
 (398 76 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (316 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (294 210 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (240 15 (:REWRITE CDR-OF-LIST-FIX))
 (228 76 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (228 12 (:REWRITE CAR-OF-TAKE))
 (219 146 (:REWRITE DEFAULT-UNARY-MINUS))
 (167 167 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (166 83 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (157 157 (:REWRITE SUBSETP-MEMBER . 2))
 (157 157 (:REWRITE SUBSETP-MEMBER . 1))
 (152 152 (:TYPE-PRESCRIPTION ABS-FS-P))
 (152 152 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (152 152 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (146 50 (:REWRITE APPEND-OF-CONS-UNDER-SET-EQUIV))
 (145 10 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (143 11 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (140 140 (:TYPE-PRESCRIPTION PREFIXP))
 (126 126 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (116 116 (:REWRITE PAINFUL-DEBUGGING-LEMMA-18))
 (113 101 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (108 18 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (90 90 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (90 18 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (83 83 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (83 83 (:REWRITE INTERSECTP-MEMBER . 3))
 (83 83 (:REWRITE INTERSECTP-MEMBER . 2))
 (83 83 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (76 76 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (76 76 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (72 8 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (70 70 (:REWRITE SUBSETP-MEMBER . 4))
 (70 70 (:REWRITE SUBSETP-MEMBER . 3))
 (63 13 (:REWRITE MEMBER-OF-CONS))
 (48 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (48 8 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (42 7 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (38 38 (:TYPE-PRESCRIPTION FIX))
 (36 36 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (36 36 (:TYPE-PRESCRIPTION D-E-P))
 (36 36 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (36 36 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (36 18 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (30 15 (:REWRITE CAR-OF-LIST-FIX))
 (24 6 (:REWRITE DISTRIBUTIVITY-OF-MINUS-OVER-+))
 (24 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (21 13 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (20 20 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (20 8 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (20 8 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (18 18 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (18 18 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (18 18 (:REWRITE SET::IN-SET))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (16 16 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 8 (:REWRITE SUBSETP-TRANS2))
 (8 8 (:REWRITE SUBSETP-TRANS))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 )
(NONEMPTY-QUEUES-OF-CONS
 (3286 28 (:DEFINITION TAKE))
 (2334 56 (:REWRITE TAKE-OF-TOO-MANY))
 (1745 14 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (1596 56 (:REWRITE TAKE-OF-LEN-FREE))
 (1484 98 (:REWRITE NFIX-WHEN-ZP))
 (1154 15 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1091 19 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1008 1008 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (742 16 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (682 402 (:REWRITE DEFAULT-+-2))
 (630 210 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (630 210 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (515 98 (:REWRITE NFIX-WHEN-NATP))
 (420 420 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (415 307 (:REWRITE DEFAULT-<-2))
 (407 14 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (402 402 (:REWRITE DEFAULT-+-1))
 (375 307 (:REWRITE DEFAULT-<-1))
 (356 40 (:DEFINITION NATP))
 (327 15 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (280 14 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (274 274 (:REWRITE DEFAULT-CDR))
 (252 84 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (248 15 (:DEFINITION BINARY-APPEND))
 (246 37 (:DEFINITION NFIX))
 (245 4 (:REWRITE MEMBER-OF-APPEND))
 (239 35 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (210 210 (:LINEAR POSITION-WHEN-MEMBER))
 (210 210 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (177 15 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (174 17 (:DEFINITION ALISTP))
 (170 10 (:REWRITE TAKE-WHEN-PREFIXP-REPLACEMENT . 1))
 (158 14 (:REWRITE MEMBER-WHEN-ATOM))
 (149 2 (:REWRITE ABS-ADDRS-OF-APPEND))
 (141 32 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (140 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (138 30 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (90 10 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (84 15 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (77 77 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (70 70 (:TYPE-PRESCRIPTION ZP))
 (68 68 (:TYPE-PRESCRIPTION ALISTP))
 (62 62 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (60 60 (:REWRITE DEFAULT-CAR))
 (56 56 (:REWRITE TAKE-WHEN-ATOM))
 (45 15 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (40 40 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (33 33 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (30 30 (:TYPE-PRESCRIPTION ABS-FS-P))
 (30 30 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (30 30 (:REWRITE SUBSETP-MEMBER . 2))
 (30 30 (:REWRITE SUBSETP-MEMBER . 1))
 (30 30 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (30 30 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (28 28 (:REWRITE PAINFUL-DEBUGGING-LEMMA-19))
 (25 25 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (23 5 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (20 20 (:TYPE-PRESCRIPTION PREFIXP))
 (20 20 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (20 20 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (20 20 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (18 18 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (17 17 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (17 17 (:REWRITE INTERSECTP-MEMBER . 3))
 (17 17 (:REWRITE INTERSECTP-MEMBER . 2))
 (17 17 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (16 9 (:REWRITE PLUS-LIST-CORRECTNESS-1))
 (15 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (14 14 (:REWRITE SUBSETP-MEMBER . 4))
 (14 14 (:REWRITE SUBSETP-MEMBER . 3))
 (11 2 (:REWRITE MEMBER-OF-CONS))
 (7 7 (:TYPE-PRESCRIPTION FIX))
 (5 5 (:REWRITE CAR-CONS))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(MEMBER-OF-PLUS-LIST
 (2095 47 (:DEFINITION MEMBER-EQUAL))
 (1264 34 (:REWRITE ACL2-NUMBER-LIST-FIX-WHEN-ACL2-NUMBER-LISTP))
 (1128 34 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (992 34 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (818 112 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (723 104 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (662 44 (:DEFINITION INTEGER-LISTP))
 (528 88 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (474 474 (:TYPE-PRESCRIPTION ATOM))
 (359 98 (:DEFINITION NATP))
 (319 16 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (288 288 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (275 46 (:REWRITE PLUS-LIST-CORRECTNESS-1))
 (274 97 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (274 97 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (231 141 (:REWRITE DEFAULT-CDR))
 (229 139 (:REWRITE DEFAULT-CAR))
 (207 207 (:REWRITE CONSP-OF-ACL2-NUMBER-LIST-FIX))
 (117 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (104 104 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (104 104 (:REWRITE INTERSECTP-MEMBER . 3))
 (104 104 (:REWRITE INTERSECTP-MEMBER . 2))
 (104 104 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (98 98 (:REWRITE DEFAULT-<-2))
 (98 98 (:REWRITE DEFAULT-<-1))
 (97 97 (:REWRITE SUBSETP-TRANS2))
 (97 97 (:REWRITE SUBSETP-TRANS))
 (95 95 (:REWRITE SUBSETP-MEMBER . 4))
 (95 95 (:REWRITE SUBSETP-MEMBER . 2))
 (88 88 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (88 88 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (88 88 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (88 88 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (83 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (64 64 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (64 1 (:REWRITE SUBSETP-OF-CONS))
 (62 62 (:TYPE-PRESCRIPTION FIX))
 (58 1 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (34 34 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (34 34 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (32 8 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (28 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (27 1 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (22 11 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (15 5 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (12 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (11 11 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-FS-P))
 (10 10 (:REWRITE FOLD-CONSTS-IN-+))
 (8 8 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (2 2 (:REWRITE ACL2-NUMBER-LIST-FIX-UNDER-IFF))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-1
 (595 22 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (486 10 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (289 5 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (200 50 (:DEFINITION BINARY-APPEND))
 (156 10 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (149 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (130 21 (:DEFINITION LEN))
 (100 100 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (100 99 (:REWRITE DEFAULT-CAR))
 (90 90 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (87 83 (:REWRITE DEFAULT-CDR))
 (70 10 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (68 13 (:REWRITE NFIX-WHEN-ZP))
 (64 39 (:REWRITE DEFAULT-+-2))
 (58 41 (:REWRITE DEFAULT-<-2))
 (53 18 (:REWRITE ZP-OPEN))
 (51 17 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (51 17 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (44 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (41 41 (:REWRITE DEFAULT-<-1))
 (39 39 (:REWRITE DEFAULT-+-1))
 (39 3 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (39 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (39 3 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (39 3 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (36 6 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-1))
 (34 34 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (33 11 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (21 13 (:REWRITE NFIX-WHEN-NATP))
 (18 6 (:DEFINITION NATP))
 (17 17 (:LINEAR POSITION-WHEN-MEMBER))
 (17 17 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (15 5 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (12 4 (:DEFINITION NFIX))
 (10 10 (:TYPE-PRESCRIPTION ABS-FS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (10 10 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 2))
 (10 10 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6 3 (:REWRITE PLUS-LIST-CORRECTNESS-1))
 (5 5 (:REWRITE SUBSETP-MEMBER . 2))
 (5 5 (:REWRITE SUBSETP-MEMBER . 1))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3 3 (:TYPE-PRESCRIPTION FIX))
 (2 2 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (2 1 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(CP-SPEC-1
 (858 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (840 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (596 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (497 9 (:DEFINITION ASSOC-EQUAL))
 (429 15 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (324 108 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (302 14 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (290 26 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (285 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (261 9 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (214 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (190 27 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (185 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (184 11 (:REWRITE SUBSETP-CAR-MEMBER))
 (160 6 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (154 58 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (114 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (113 26 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (92 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (84 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (79 25 (:REWRITE DEFAULT-CDR))
 (75 31 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (74 22 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (70 14 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (67 26 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (64 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (64 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (59 59 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (58 58 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (55 49 (:REWRITE DEFAULT-CAR))
 (52 52 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (48 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (47 47 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (46 46 (:TYPE-PRESCRIPTION STRIP-CARS))
 (44 44 (:TYPE-PRESCRIPTION ABS-FS-P))
 (44 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (34 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (33 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (32 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (28 28 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (28 28 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (28 28 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (28 2 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (27 27 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (24 24 (:TYPE-PRESCRIPTION NATP))
 (24 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (24 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (22 22 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (20 2 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (20 2 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (18 18 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (18 18 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (16 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (15 15 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (15 15 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (15 15 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (15 15 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (14 2 (:DEFINITION NATP))
 (12 12 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 2 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (12 2 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (12 2 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (12 2 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (11 11 (:REWRITE SUBSETP-MEMBER . 2))
 (11 11 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE CONSP-OF-STRIP-CARS))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 4 (:REWRITE DEFAULT-+-2))
 (8 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 2 (:REWRITE MEMBER-WHEN-ATOM))
 (8 2 (:DEFINITION STRIP-CARS))
 (6 6 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 3 (:REWRITE DEFAULT-<-2))
 (4 3 (:REWRITE DEFAULT-<-1))
 (4 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (4 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-2
 (24 6 (:DEFINITION BINARY-APPEND))
 (16 4 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION CP-WITHOUT-SUBDIRS-HELPER))
 (12 12 (:REWRITE DEFAULT-CAR))
 (9 9 (:REWRITE DEFAULT-CDR))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-3
 (14961 108 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (11184 132 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (9455 168 (:DEFINITION ASSOC-EQUAL))
 (7916 289 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (5904 1968 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5555 259 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (5540 496 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (5419 61 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (4860 168 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (4625 25 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (4323 521 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (4066 38 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3552 122 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (3533 1133 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (3430 206 (:REWRITE SUBSETP-CAR-MEMBER))
 (2166 38 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2106 484 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1748 38 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1608 394 (:REWRITE DEFAULT-CDR))
 (1554 259 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1521 496 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1443 595 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1388 412 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (1295 259 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1194 74 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1152 36 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (1133 1133 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1100 1100 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (992 992 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (979 865 (:REWRITE DEFAULT-CAR))
 (912 38 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (876 876 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (874 874 (:TYPE-PRESCRIPTION STRIP-CARS))
 (848 848 (:TYPE-PRESCRIPTION ABS-FS-P))
 (825 25 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (822 74 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (612 36 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (576 36 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (521 521 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (518 518 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (518 518 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (518 518 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (504 36 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (450 450 (:TYPE-PRESCRIPTION NATP))
 (448 112 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (432 72 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (412 412 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (380 38 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (360 36 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (336 336 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (336 336 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (336 336 (:REWRITE SUBSETP-TRANS2))
 (336 336 (:REWRITE SUBSETP-TRANS))
 (289 289 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (289 289 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (289 289 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (289 289 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (288 36 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (266 38 (:DEFINITION NATP))
 (228 38 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (228 38 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (228 38 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (228 38 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (224 224 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (216 216 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (216 36 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (206 206 (:REWRITE SUBSETP-MEMBER . 2))
 (206 206 (:REWRITE SUBSETP-MEMBER . 1))
 (190 190 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (152 152 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (152 152 (:REWRITE CONSP-OF-STRIP-CARS))
 (152 38 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (152 38 (:REWRITE MEMBER-WHEN-ATOM))
 (152 38 (:DEFINITION STRIP-CARS))
 (148 148 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (148 148 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (148 148 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (148 74 (:REWRITE SET-EQUIV-ASYM))
 (143 143 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (130 30 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (112 112 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (108 108 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (90 5 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (76 76 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (76 76 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (76 76 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (76 38 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (74 74 (:TYPE-PRESCRIPTION SET-EQUIV))
 (74 74 (:REWRITE SUBSETP-OF-CDR))
 (74 74 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (72 72 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (72 72 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (72 36 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (61 61 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (38 38 (:REWRITE SUBSETP-MEMBER . 4))
 (38 38 (:REWRITE SUBSETP-MEMBER . 3))
 (38 38 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (38 38 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (38 38 (:REWRITE INTERSECTP-MEMBER . 3))
 (38 38 (:REWRITE INTERSECTP-MEMBER . 2))
 (38 38 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (38 38 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (38 38 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (38 38 (:REWRITE DEFAULT-<-2))
 (38 38 (:REWRITE DEFAULT-<-1))
 (38 38 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (25 25 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 )
(CP-SPEC-2
 (858 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (840 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (596 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (497 9 (:DEFINITION ASSOC-EQUAL))
 (428 14 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (302 14 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (285 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (263 25 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (261 9 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (240 80 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (214 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (184 11 (:REWRITE SUBSETP-CAR-MEMBER))
 (114 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (113 26 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (92 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (84 14 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (80 26 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (79 25 (:REWRITE DEFAULT-CDR))
 (74 22 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (72 30 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (70 14 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (64 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (64 4 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (64 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (59 59 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (55 55 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (55 55 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (55 49 (:REWRITE DEFAULT-CAR))
 (50 50 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (48 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (47 47 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (46 46 (:TYPE-PRESCRIPTION STRIP-CARS))
 (44 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (42 42 (:TYPE-PRESCRIPTION ABS-FS-P))
 (34 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (32 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (28 28 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (28 28 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (28 28 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (28 2 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (26 26 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (25 25 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (24 24 (:TYPE-PRESCRIPTION NATP))
 (24 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (24 4 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (22 22 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (20 2 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (20 2 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (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 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (16 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (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))
 (14 14 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (14 2 (:DEFINITION NATP))
 (12 12 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 2 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (12 2 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (12 2 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (12 2 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (11 11 (:REWRITE SUBSETP-MEMBER . 2))
 (11 11 (:REWRITE SUBSETP-MEMBER . 1))
 (10 10 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE CONSP-OF-STRIP-CARS))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 4 (:REWRITE DEFAULT-+-2))
 (8 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 2 (:REWRITE MEMBER-WHEN-ATOM))
 (8 2 (:DEFINITION STRIP-CARS))
 (8 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (6 6 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 3 (:REWRITE DEFAULT-<-2))
 (4 3 (:REWRITE DEFAULT-<-1))
 (4 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (4 2 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (1 1 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-5
 (14961 108 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (11184 132 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (9455 168 (:DEFINITION ASSOC-EQUAL))
 (7896 269 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (5555 259 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (5419 61 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (5000 476 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (4860 168 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (4164 1388 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (4066 38 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3430 206 (:REWRITE SUBSETP-CAR-MEMBER))
 (2166 38 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2123 501 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (2106 484 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1748 38 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1627 77 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1608 394 (:REWRITE DEFAULT-CDR))
 (1554 259 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1433 1073 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1388 412 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (1383 575 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (1295 259 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1194 74 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (1152 36 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (1100 1100 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (1073 1073 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1043 53 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (979 865 (:REWRITE DEFAULT-CAR))
 (952 952 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (925 5 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (912 38 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (876 876 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (874 874 (:TYPE-PRESCRIPTION STRIP-CARS))
 (822 74 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (808 808 (:TYPE-PRESCRIPTION ABS-FS-P))
 (681 476 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (612 36 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (576 36 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (518 518 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (518 518 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (518 518 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (504 36 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (501 501 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (450 450 (:TYPE-PRESCRIPTION NATP))
 (450 25 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (448 112 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (432 72 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (412 412 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (380 38 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (360 36 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (336 336 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (336 336 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (336 336 (:REWRITE SUBSETP-TRANS2))
 (336 336 (:REWRITE SUBSETP-TRANS))
 (288 36 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (269 269 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (269 269 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (269 269 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (269 269 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (266 38 (:DEFINITION NATP))
 (228 38 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (228 38 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (228 38 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (228 38 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (224 224 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (216 216 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (216 36 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (206 206 (:REWRITE SUBSETP-MEMBER . 2))
 (206 206 (:REWRITE SUBSETP-MEMBER . 1))
 (200 25 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (190 190 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (152 152 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (152 152 (:REWRITE CONSP-OF-STRIP-CARS))
 (152 38 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (152 38 (:REWRITE MEMBER-WHEN-ATOM))
 (152 38 (:DEFINITION STRIP-CARS))
 (148 148 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (148 148 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (148 148 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (148 74 (:REWRITE SET-EQUIV-ASYM))
 (143 143 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (112 112 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (108 108 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (76 76 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (76 76 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (76 76 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (76 38 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (74 74 (:TYPE-PRESCRIPTION SET-EQUIV))
 (74 74 (:REWRITE SUBSETP-OF-CDR))
 (74 74 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (72 72 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (72 72 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (72 36 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (61 61 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (38 38 (:REWRITE SUBSETP-MEMBER . 4))
 (38 38 (:REWRITE SUBSETP-MEMBER . 3))
 (38 38 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (38 38 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (38 38 (:REWRITE INTERSECTP-MEMBER . 3))
 (38 38 (:REWRITE INTERSECTP-MEMBER . 2))
 (38 38 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (38 38 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (38 38 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (38 38 (:REWRITE DEFAULT-<-2))
 (38 38 (:REWRITE DEFAULT-<-1))
 (38 38 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (25 25 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (14 8 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-3))
 (6 6 (:TYPE-PRESCRIPTION CP-SPEC-1))
 )
(CP-SPEC-3
 (4853 506 (:TYPE-PRESCRIPTION MEMBER-OF-NONEMPTY-QUEUES))
 (3185 1397 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2407 478 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (1253 478 (:TYPE-PRESCRIPTION CONSP-OF-NONEMPTY-QUEUES-1))
 (894 894 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (894 894 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (478 478 (:TYPE-PRESCRIPTION NONEMPTY-QUEUES))
 (478 478 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (376 62 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (168 14 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (99 99 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (99 99 (:TYPE-PRESCRIPTION NATP))
 (99 99 (:TYPE-PRESCRIPTION LEN))
 (62 62 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (42 14 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-6
 (4272 474 (:REWRITE DEFAULT-CAR))
 (4240 1420 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (3550 95 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (3040 20 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (3025 605 (:TYPE-PRESCRIPTION CONSP-OF-NONEMPTY-QUEUES-1))
 (2870 205 (:TYPE-PRESCRIPTION MEMBER-OF-NONEMPTY-QUEUES))
 (2695 527 (:REWRITE DEFAULT-CDR))
 (2605 285 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (2060 20 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1650 1450 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1450 1450 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1420 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1060 5 (:REWRITE NTHCDR-OF-CDR))
 (640 20 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (625 15 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (605 605 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (605 605 (:TYPE-PRESCRIPTION NONEMPTY-QUEUES))
 (580 20 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (560 40 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (540 135 (:DEFINITION BINARY-APPEND))
 (480 20 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (417 210 (:REWRITE DEFAULT-+-2))
 (412 412 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (380 20 (:REWRITE MEMBER-WHEN-ATOM))
 (380 20 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (360 5 (:REWRITE CONSP-OF-DIRNAME))
 (340 40 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (320 20 (:DEFINITION ALISTP))
 (290 10 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (285 285 (:TYPE-PRESCRIPTION NATP))
 (285 285 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (270 270 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (255 15 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (220 40 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (219 73 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (219 73 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (215 10 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (211 210 (:REWRITE DEFAULT-+-1))
 (195 5 (:DEFINITION TRUE-LIST-LISTP))
 (186 16 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (185 5 (:DEFINITION NTHCDR))
 (180 60 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (160 20 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (152 76 (:REWRITE DEFAULT-<-2))
 (150 10 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (146 146 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (140 5 (:REWRITE CONSP-OF-NTHCDR))
 (120 15 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (110 15 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (100 100 (:TYPE-PRESCRIPTION ALISTP))
 (80 80 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (80 5 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (79 1 (:REWRITE LEN-OF-DIRNAME))
 (76 76 (:REWRITE DEFAULT-<-1))
 (73 73 (:LINEAR POSITION-WHEN-MEMBER))
 (73 73 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (60 20 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (55 5 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (40 40 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (40 40 (:TYPE-PRESCRIPTION ABS-FS-P))
 (40 40 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (40 40 (:REWRITE SUBSETP-MEMBER . 2))
 (40 40 (:REWRITE SUBSETP-MEMBER . 1))
 (40 40 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (30 30 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (30 15 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (25 10 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (20 20 (:TYPE-PRESCRIPTION D-E-P))
 (20 20 (:REWRITE SUBSETP-MEMBER . 4))
 (20 20 (:REWRITE SUBSETP-MEMBER . 3))
 (20 20 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 3))
 (20 20 (:REWRITE INTERSECTP-MEMBER . 2))
 (20 20 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (20 20 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (20 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (20 20 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (15 15 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (15 15 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (15 15 (:REWRITE SET::IN-SET))
 (15 5 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (10 10 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (10 10 (:TYPE-PRESCRIPTION DIRNAME))
 (10 10 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (6 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (5 5 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (3 3 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (1 1 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-7
 (5728 1932 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4702 1352 (:TYPE-PRESCRIPTION CONSP-OF-NONEMPTY-QUEUES-1))
 (3877 28 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (3846 258 (:REWRITE DEFAULT-CAR))
 (2563 28 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2206 1954 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1954 1954 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1799 28 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1548 182 (:DEFINITION LEN))
 (1352 1352 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (1141 7 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (998 998 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (798 21 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (791 28 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (749 28 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (672 21 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (656 28 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (652 56 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (519 173 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (519 173 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (504 7 (:REWRITE CONSP-OF-DIRNAME))
 (469 28 (:REWRITE MEMBER-WHEN-ATOM))
 (469 28 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (459 153 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (413 56 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (406 28 (:DEFINITION ALISTP))
 (406 14 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (392 212 (:REWRITE DEFAULT-<-2))
 (372 188 (:REWRITE DEFAULT-+-2))
 (346 346 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (315 21 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (266 14 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (259 7 (:DEFINITION NTHCDR))
 (245 56 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (245 7 (:DEFINITION TRUE-LIST-LISTP))
 (212 212 (:REWRITE DEFAULT-<-1))
 (210 14 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (203 28 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (196 7 (:REWRITE CONSP-OF-NTHCDR))
 (188 188 (:REWRITE DEFAULT-+-1))
 (173 173 (:LINEAR POSITION-WHEN-MEMBER))
 (173 173 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (168 21 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (147 21 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (140 140 (:TYPE-PRESCRIPTION ALISTP))
 (140 21 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (112 112 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (89 25 (:REWRITE NFIX-WHEN-ZP))
 (84 28 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (63 7 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (56 56 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (56 56 (:TYPE-PRESCRIPTION ABS-FS-P))
 (56 56 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (56 56 (:REWRITE SUBSETP-MEMBER . 2))
 (56 56 (:REWRITE SUBSETP-MEMBER . 1))
 (56 56 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (54 19 (:REWRITE ZP-OPEN))
 (45 25 (:REWRITE NFIX-WHEN-NATP))
 (42 42 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (42 21 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (28 28 (:TYPE-PRESCRIPTION D-E-P))
 (28 28 (:REWRITE SUBSETP-MEMBER . 4))
 (28 28 (:REWRITE SUBSETP-MEMBER . 3))
 (28 28 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (28 28 (:REWRITE INTERSECTP-MEMBER . 3))
 (28 28 (:REWRITE INTERSECTP-MEMBER . 2))
 (28 28 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (28 28 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (28 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 28 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (28 14 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (21 21 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (21 21 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (21 21 (:REWRITE SET::IN-SET))
 (21 7 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (15 5 (:DEFINITION NATP))
 (14 14 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (14 14 (:TYPE-PRESCRIPTION DIRNAME))
 (14 14 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (7 7 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (7 7 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-8
 (12008 3094 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7797 1322 (:TYPE-PRESCRIPTION CONSP-OF-NONEMPTY-QUEUES-1))
 (7530 494 (:TYPE-PRESCRIPTION MEMBER-OF-NONEMPTY-QUEUES))
 (7089 44 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (6563 666 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (4797 43 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (3818 110 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (3486 2988 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (3307 41 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2988 2988 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2090 160 (:DEFINITION LEN))
 (1883 11 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1535 44 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (1504 30 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1324 82 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1322 1322 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (1322 1322 (:TYPE-PRESCRIPTION NONEMPTY-QUEUES))
 (1321 41 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1121 44 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (913 43 (:REWRITE MEMBER-WHEN-ATOM))
 (911 41 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (860 860 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (840 10 (:REWRITE CONSP-OF-DIRNAME))
 (829 82 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (744 41 (:DEFINITION ALISTP))
 (668 20 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (666 666 (:TYPE-PRESCRIPTION NATP))
 (666 666 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (615 30 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (583 82 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (510 20 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (469 10 (:DEFINITION TRUE-LIST-LISTP))
 (450 150 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (450 150 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (392 10 (:DEFINITION NTHCDR))
 (390 130 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (372 41 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (344 20 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (333 30 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (322 162 (:REWRITE DEFAULT-+-2))
 (320 160 (:REWRITE DEFAULT-<-2))
 (302 10 (:REWRITE CONSP-OF-NTHCDR))
 (300 300 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (286 31 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (222 30 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (205 205 (:TYPE-PRESCRIPTION ALISTP))
 (164 164 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (162 162 (:REWRITE DEFAULT-+-1))
 (160 160 (:REWRITE DEFAULT-<-1))
 (150 150 (:LINEAR POSITION-WHEN-MEMBER))
 (150 150 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (123 41 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (112 10 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (86 86 (:REWRITE SUBSETP-MEMBER . 2))
 (86 86 (:REWRITE SUBSETP-MEMBER . 1))
 (82 82 (:TYPE-PRESCRIPTION ABS-FS-P))
 (82 82 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (82 82 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (60 60 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (60 30 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (51 20 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (43 43 (:REWRITE SUBSETP-MEMBER . 4))
 (43 43 (:REWRITE SUBSETP-MEMBER . 3))
 (43 43 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (43 43 (:REWRITE INTERSECTP-MEMBER . 3))
 (43 43 (:REWRITE INTERSECTP-MEMBER . 2))
 (43 43 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (41 41 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (41 41 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (40 40 (:TYPE-PRESCRIPTION D-E-P))
 (40 40 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (30 30 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (30 30 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (30 30 (:REWRITE SET::IN-SET))
 (30 10 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (21 21 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-7))
 (20 20 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (20 20 (:TYPE-PRESCRIPTION DIRNAME))
 (20 20 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (11 11 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (10 10 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE ZP-OPEN))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(TAKE-OF-TRUE-LIST-LIST-FIX
 (3777 79 (:DEFINITION TRUE-LIST-LISTP))
 (2810 28 (:REWRITE TRUE-LIST-LIST-FIX-WHEN-TRUE-LIST-LISTP))
 (2125 19 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (2101 108 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1825 124 (:REWRITE TRUE-LIST-LISTP-OF-CDR-WHEN-TRUE-LIST-LISTP))
 (1735 108 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (1669 81 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1524 47 (:REWRITE TAKE-OF-LEN-FREE))
 (808 51 (:REWRITE D-E-LIST-P-OF-CDR-WHEN-D-E-LIST-P))
 (590 108 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (563 52 (:DEFINITION LEN))
 (545 137 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (416 416 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (376 19 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (352 352 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (307 184 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (272 272 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (252 196 (:REWRITE DEFAULT-CDR))
 (243 81 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (243 81 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (188 188 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (188 94 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (162 162 (:TYPE-PRESCRIPTION D-E-P))
 (162 162 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (162 162 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (158 56 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (155 101 (:REWRITE DEFAULT-+-2))
 (151 136 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (145 126 (:REWRITE DEFAULT-CAR))
 (138 46 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (125 125 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (108 108 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (101 101 (:REWRITE DEFAULT-+-1))
 (94 94 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (94 94 (:REWRITE SET::IN-SET))
 (90 6 (:REWRITE D-E-LIST-P-OF-TAKE))
 (81 81 (:LINEAR POSITION-WHEN-MEMBER))
 (81 81 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (51 51 (:REWRITE DEFAULT-<-2))
 (51 51 (:REWRITE DEFAULT-<-1))
 (42 7 (:REWRITE LEN-OF-TRUE-LIST-LIST-FIX))
 (36 12 (:REWRITE FOLD-CONSTS-IN-+))
 (36 6 (:REWRITE SECOND-OF-TAKE))
 (25 25 (:REWRITE NFIX-WHEN-ZP))
 (10 10 (:REWRITE CONSP-OF-TRUE-LIST-LIST-FIX))
 (5 5 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(NONEMPTY-QUEUES-OF-TRUE-LIST-LIST-FIX
 (4481 7 (:DEFINITION TRUE-LIST-LIST-FIX$INLINE))
 (4349 14 (:REWRITE TRUE-LIST-LIST-FIX-WHEN-TRUE-LIST-LISTP))
 (2954 28 (:DEFINITION TRUE-LIST-LISTP))
 (2777 25 (:DEFINITION TAKE))
 (2177 35 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (2058 21 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1798 7 (:REWRITE D-E-LIST-P-OF-CDR-WHEN-D-E-LIST-P))
 (1734 50 (:REWRITE TAKE-OF-TOO-MANY))
 (1598 35 (:REWRITE TRUE-LIST-LISTP-OF-CDR-WHEN-TRUE-LIST-LISTP))
 (1425 50 (:REWRITE TAKE-OF-LEN-FREE))
 (1011 75 (:REWRITE NFIX-WHEN-ZP))
 (994 79 (:REWRITE ZP-OPEN))
 (875 175 (:DEFINITION LEN))
 (838 838 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (674 12 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (516 172 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (516 172 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (474 283 (:REWRITE DEFAULT-+-2))
 (453 12 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (374 4 (:REWRITE D-E-LIST-P-OF-TAKE))
 (344 344 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (325 5 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (315 35 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (307 307 (:TYPE-PRESCRIPTION TAKE))
 (296 14 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (283 283 (:REWRITE DEFAULT-+-1))
 (269 245 (:REWRITE DEFAULT-CDR))
 (259 205 (:REWRITE DEFAULT-<-2))
 (243 35 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (229 205 (:REWRITE DEFAULT-<-1))
 (225 75 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (201 60 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (200 5 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (197 197 (:TYPE-PRESCRIPTION TRUE-LIST-LISTP))
 (172 172 (:LINEAR POSITION-WHEN-MEMBER))
 (172 172 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (160 32 (:REWRITE CONSP-OF-TAKE))
 (154 7 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (135 3 (:REWRITE MEMBER-OF-CONS))
 (117 32 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (112 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (109 29 (:DEFINITION NATP))
 (96 10 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (88 8 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (78 78 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (75 25 (:REWRITE FOLD-CONSTS-IN-+))
 (70 70 (:REWRITE DEFAULT-CAR))
 (68 4 (:REWRITE SECOND-OF-TAKE))
 (64 64 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (64 5 (:DEFINITION BINARY-APPEND))
 (60 12 (:REWRITE CAR-OF-TAKE))
 (56 56 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (56 28 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (50 50 (:TYPE-PRESCRIPTION ZP))
 (50 50 (:REWRITE TAKE-WHEN-ATOM))
 (50 5 (:DEFINITION ALISTP))
 (48 10 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (44 32 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (42 42 (:TYPE-PRESCRIPTION D-E-P))
 (42 42 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (40 10 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (35 35 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (29 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (28 28 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (28 28 (:REWRITE SET::IN-SET))
 (25 25 (:TYPE-PRESCRIPTION ALISTP))
 (24 12 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (24 8 (:REWRITE APPEND-OF-CONS-UNDER-SET-EQUIV))
 (23 2 (:REWRITE MEMBER-WHEN-ATOM))
 (23 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (21 7 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (20 20 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (15 5 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (10 10 (:TYPE-PRESCRIPTION ABS-FS-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (5 5 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 3))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 2))
 (5 5 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (5 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (5 5 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (4 3 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (2 2 (:REWRITE SUBSETP-MEMBER . 4))
 (2 2 (:REWRITE SUBSETP-MEMBER . 3))
 )
(TRUE-LIST-LIST-EQUIV-IMPLIES-EQUAL-NONEMPTY-QUEUES-1
 (74 2 (:REWRITE TRUE-LIST-LIST-FIX-WHEN-TRUE-LIST-LISTP))
 (66 2 (:DEFINITION TRUE-LIST-LISTP))
 (28 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (18 2 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (14 14 (:TYPE-PRESCRIPTION TRUE-LIST-LISTP))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (6 2 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (4 4 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 4 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (4 2 (:REWRITE TRUE-LIST-LISTP-OF-CDR-WHEN-TRUE-LIST-LISTP))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE SET::IN-SET))
 (2 2 (:REWRITE DEFAULT-CDR))
 (2 2 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(TRUE-LIST-LIST-FIX-OF-UPDATE-NTH
 (3978 60 (:DEFINITION TRUE-LIST-LISTP))
 (3750 29 (:REWRITE TRUE-LIST-LIST-FIX-WHEN-TRUE-LIST-LISTP))
 (1975 30 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (1754 89 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1429 47 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1168 77 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (982 76 (:REWRITE TRUE-LIST-LISTP-OF-CDR-WHEN-TRUE-LIST-LISTP))
 (772 89 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (653 30 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (540 120 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (524 524 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (516 30 (:REWRITE D-E-LIST-P-OF-UPDATE-NTH))
 (464 19 (:REWRITE D-E-LIST-P-OF-CDR-WHEN-D-E-LIST-P))
 (282 75 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (259 129 (:REWRITE DEFAULT-CDR))
 (214 91 (:REWRITE DEFAULT-CAR))
 (191 27 (:DEFINITION LEN))
 (188 188 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (187 67 (:REWRITE ZP-OPEN))
 (160 160 (:TYPE-PRESCRIPTION D-E-P))
 (160 160 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (150 150 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (150 75 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (144 21 (:REWRITE NFIX-WHEN-ZP))
 (119 92 (:REWRITE DEFAULT-+-2))
 (108 108 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (108 108 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (96 54 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (92 92 (:REWRITE DEFAULT-+-1))
 (90 90 (:REWRITE DEFAULT-<-2))
 (90 90 (:REWRITE DEFAULT-<-1))
 (89 89 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (81 27 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (81 27 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (75 75 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (75 75 (:REWRITE SET::IN-SET))
 (57 19 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (54 54 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (45 15 (:REWRITE FOLD-CONSTS-IN-+))
 (27 27 (:LINEAR POSITION-WHEN-MEMBER))
 (27 27 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (21 21 (:REWRITE NFIX-WHEN-NATP))
 (6 6 (:REWRITE CONSP-OF-TRUE-LIST-LIST-FIX))
 )
(FLATTEN-OF-TRUE-LIST-LIST-FIX
 (412 12 (:DEFINITION TRUE-LIST-LISTP))
 (318 5 (:REWRITE TRUE-LIST-LIST-FIX-WHEN-TRUE-LIST-LISTP))
 (208 17 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (204 3 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (148 17 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (147 11 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (92 17 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (66 3 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (60 16 (:REWRITE TRUE-LIST-LISTP-OF-CDR-WHEN-TRUE-LIST-LISTP))
 (57 15 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (45 33 (:REWRITE DEFAULT-CDR))
 (44 32 (:REWRITE DEFAULT-CAR))
 (40 8 (:DEFINITION BINARY-APPEND))
 (38 38 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (37 13 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (36 4 (:REWRITE D-E-LIST-P-OF-CDR-WHEN-D-E-LIST-P))
 (32 17 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (30 30 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (30 30 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (30 15 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (24 24 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (22 22 (:TYPE-PRESCRIPTION D-E-P))
 (22 22 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (21 21 (:TYPE-PRESCRIPTION LEN))
 (20 20 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (17 17 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (15 15 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (15 15 (:REWRITE SET::IN-SET))
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 (15 3 (:DEFINITION LEN))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12 4 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (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-FAT32-FILENAME-LIST-PREFIXP))
 (6 3 (:REWRITE DEFAULT-+-2))
 (3 3 (:REWRITE DEFAULT-+-1))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (1 1 (:REWRITE CONSP-OF-LIST-FIX))
 )
(SCHEDULE-QUEUES-OF-TRUE-LIST-LIST-FIX
 (2051215 10789 (:REWRITE ZP-OPEN))
 (1506126 53715 (:REWRITE DEFAULT-<-1))
 (944571 9438 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (571518 53715 (:REWRITE DEFAULT-<-2))
 (428367 2345 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (360414 1050 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (351542 746 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (180269 1050 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (176157 753 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (174713 11779 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (97466 746 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (95923 95923 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (78964 352 (:REWRITE MEMBER-OF-PLUS-LIST))
 (62584 1880 (:DEFINITION TRUE-LIST-LISTP))
 (55295 25418 (:REWRITE DEFAULT-+-2))
 (53950 10790 (:LINEAR NTH-WHEN-D-E-P))
 (49920 764 (:REWRITE TRUE-LIST-LIST-FIX-WHEN-TRUE-LIST-LISTP))
 (44971 2826 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (44480 44480 (:TYPE-PRESCRIPTION D-E-P))
 (44480 44480 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
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 (31842 25418 (:REWRITE DEFAULT-+-1))
 (31832 31832 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
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 (23506 1594 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (23454 7818 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (23454 7818 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (21910 2486 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (15636 15636 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14456 352 (:REWRITE ACL2-NUMBER-LIST-FIX-WHEN-ACL2-NUMBER-LISTP))
 (11476 795 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (11211 1383 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (10592 352 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
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 (9918 2596 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (9667 9667 (:TYPE-PRESCRIPTION ZP))
 (9210 186 (:DEFINITION INTEGER-LISTP))
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 (7818 7818 (:LINEAR POSITION-WHEN-MEMBER))
 (7818 7818 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
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 (6728 352 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
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 (5192 5192 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (4760 4760 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
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 (2386 838 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (2380 2380 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
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 (2345 2345 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
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 (2052 228 (:REWRITE D-E-P-OF-NTH-WHEN-D-E-LIST-P))
 (1739 1739 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (1383 1383 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
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 (1352 352 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (1352 352 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
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 (840 280 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (824 588 (:REWRITE PLUS-LIST-CORRECTNESS-1))
 (809 779 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (756 186 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (753 753 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (753 753 (:REWRITE INTERSECTP-MEMBER . 3))
 (753 753 (:REWRITE INTERSECTP-MEMBER . 2))
 (753 753 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (714 238 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (697 697 (:REWRITE CONSP-OF-TRUE-LIST-LIST-FIX))
 (600 600 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-7))
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 (530 10 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (490 40 (:REWRITE CONSP-OF-LIST-FIX))
 (476 476 (:TYPE-PRESCRIPTION ABS-FS-P))
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 (420 20 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (390 390 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
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 (284 284 (:REWRITE PAINFUL-DEBUGGING-LEMMA-19))
 (238 238 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (238 238 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (236 236 (:TYPE-PRESCRIPTION FIX))
 (195 195 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (195 195 (:REWRITE SUBSETP-REFL))
 (195 195 (:REWRITE INTERSECTP-MEMBER . 1))
 (195 195 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
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 (120 10 (:REWRITE CONSP-OF-APPEND))
 (112 16 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (101 101 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (67 67 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (51 16 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (49 49 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 )
(TRUE-LIST-LIST-EQUIV-IMPLIES-EQUAL-SCHEDULE-QUEUES-1
 (74 2 (:REWRITE TRUE-LIST-LIST-FIX-WHEN-TRUE-LIST-LISTP))
 (66 2 (:DEFINITION TRUE-LIST-LISTP))
 (28 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (18 2 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (14 14 (:TYPE-PRESCRIPTION TRUE-LIST-LISTP))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (6 4 (:REWRITE DEFAULT-CDR))
 (6 4 (:REWRITE DEFAULT-CAR))
 (6 2 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (4 4 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 4 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (4 2 (:REWRITE TRUE-LIST-LISTP-OF-CDR-WHEN-TRUE-LIST-LISTP))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE SET::IN-SET))
 (2 2 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(LIST-EQUIV-IMPLIES-TRUE-LIST-LIST-EQUIV-UPDATE-NTH-2)
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-9
 (4929 1665 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
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 (2957 353 (:REWRITE DEFAULT-CDR))
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 (1888 1678 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1678 1678 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (1498 23 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1318 154 (:DEFINITION LEN))
 (984 6 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (896 896 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (844 844 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (684 18 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (661 23 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (622 23 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (584 46 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
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 (538 23 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (438 146 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (438 146 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (438 6 (:REWRITE CONSP-OF-DIRNAME))
 (392 23 (:REWRITE MEMBER-WHEN-ATOM))
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 (390 130 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (348 12 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
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 (292 292 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (270 18 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
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 (222 6 (:DEFINITION NTHCDR))
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 (158 158 (:REWRITE DEFAULT-+-1))
 (146 146 (:LINEAR POSITION-WHEN-MEMBER))
 (146 146 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (144 18 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
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 (120 18 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (115 115 (:TYPE-PRESCRIPTION ALISTP))
 (92 92 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (69 23 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (61 17 (:REWRITE NFIX-WHEN-ZP))
 (54 6 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (48 48 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (46 46 (:TYPE-PRESCRIPTION ABS-FS-P))
 (46 46 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (46 46 (:REWRITE SUBSETP-MEMBER . 2))
 (46 46 (:REWRITE SUBSETP-MEMBER . 1))
 (46 46 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (38 13 (:REWRITE ZP-OPEN))
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 (36 18 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (29 17 (:REWRITE NFIX-WHEN-NATP))
 (24 24 (:TYPE-PRESCRIPTION D-E-P))
 (24 24 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (24 12 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (23 23 (:REWRITE SUBSETP-MEMBER . 4))
 (23 23 (:REWRITE SUBSETP-MEMBER . 3))
 (23 23 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (23 23 (:REWRITE INTERSECTP-MEMBER . 3))
 (23 23 (:REWRITE INTERSECTP-MEMBER . 2))
 (23 23 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (23 23 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (23 23 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (18 18 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
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 (18 18 (:REWRITE SET::IN-SET))
 (18 6 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (12 12 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (12 12 (:TYPE-PRESCRIPTION DIRNAME))
 (12 12 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-7))
 (9 3 (:DEFINITION NATP))
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 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 6 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-10
 (44925 70 (:DEFINITION NONEMPTY-QUEUES))
 (27863 110 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (23890 110 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (23632 140 (:DEFINITION BUTLAST))
 (17995 1825 (:REWRITE DEFAULT-CDR))
 (15988 140 (:DEFINITION TAKE))
 (11088 280 (:REWRITE TAKE-OF-TOO-MANY))
 (9580 450 (:REWRITE NFIX-WHEN-ZP))
 (9547 650 (:REWRITE ZP-OPEN))
 (8064 280 (:REWRITE TAKE-OF-LEN-FREE))
 (8062 2863 (:TYPE-PRESCRIPTION CONSP-OF-NONEMPTY-QUEUES-1))
 (7930 7930 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (7603 3059 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (6838 1222 (:DEFINITION LEN))
 (4116 450 (:REWRITE NFIX-WHEN-NATP))
 (4029 1343 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4029 1343 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3837 1279 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (3511 40 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (3502 2068 (:REWRITE DEFAULT-+-2))
 (3103 283 (:DEFINITION NATP))
 (3035 2025 (:REWRITE DEFAULT-<-2))
 (2863 2863 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (2688 2352 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2686 2686 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
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 (1343 1343 (:LINEAR POSITION-WHEN-MEMBER))
 (1343 1343 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1194 105 (:DEFINITION ALISTP))
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 (1016 40 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (928 80 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (912 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (768 24 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (700 210 (:REWRITE FOLD-CONSTS-IN-+))
 (670 10 (:REWRITE CONSP-OF-DIRNAME))
 (616 40 (:REWRITE MEMBER-WHEN-ATOM))
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 (532 20 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
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 (420 420 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (420 140 (:REWRITE COMMUTATIVITY-OF-+))
 (360 24 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
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 (280 8 (:DEFINITION TRUE-LIST-LISTP))
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 (272 40 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (224 8 (:REWRITE CONSP-OF-NTHCDR))
 (210 70 (:REWRITE APPEND-OF-CONS-UNDER-SET-EQUIV))
 (192 24 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (168 24 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (160 24 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (140 140 (:REWRITE PAINFUL-DEBUGGING-LEMMA-19))
 (140 140 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (120 40 (:REWRITE ABS-FS-P-CORRECTNESS-1))
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 (80 80 (:TYPE-PRESCRIPTION ABS-ADDRS))
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 (80 80 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (72 8 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (64 64 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (40 40 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (40 40 (:REWRITE INTERSECTP-MEMBER . 3))
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 (40 40 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (40 40 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (40 40 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (32 32 (:TYPE-PRESCRIPTION D-E-P))
 (32 32 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (32 16 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (24 24 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (24 24 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (24 24 (:REWRITE SET::IN-SET))
 (24 8 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (20 20 (:TYPE-PRESCRIPTION DIRNAME))
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 (16 16 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (16 16 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
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 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-11
 (45555 68 (:DEFINITION NONEMPTY-QUEUES))
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 (24329 106 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
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 (16112 136 (:DEFINITION TAKE))
 (11352 272 (:REWRITE TAKE-OF-TOO-MANY))
 (10266 460 (:REWRITE NFIX-WHEN-ZP))
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 (9906 2832 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (8550 8550 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8124 272 (:REWRITE TAKE-OF-LEN-FREE))
 (6829 1199 (:DEFINITION LEN))
 (6822 2115 (:TYPE-PRESCRIPTION CONSP-OF-NONEMPTY-QUEUES-1))
 (4368 1456 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4368 1456 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4332 460 (:REWRITE NFIX-WHEN-NATP))
 (4089 1363 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (3698 41 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (3440 2031 (:REWRITE DEFAULT-+-2))
 (3320 280 (:DEFINITION NATP))
 (2994 2005 (:REWRITE DEFAULT-<-2))
 (2992 2638 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (2912 2912 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2638 2638 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2631 2005 (:REWRITE DEFAULT-<-1))
 (2533 41 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2143 106 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (2115 2115 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (2031 2031 (:REWRITE DEFAULT-+-1))
 (1476 9 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1456 1456 (:LINEAR POSITION-WHEN-MEMBER))
 (1456 1456 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1182 102 (:DEFINITION ALISTP))
 (1063 41 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1059 204 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (1026 27 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (980 82 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (864 27 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (680 204 (:REWRITE FOLD-CONSTS-IN-+))
 (657 9 (:REWRITE CONSP-OF-DIRNAME))
 (653 41 (:REWRITE MEMBER-WHEN-ATOM))
 (653 41 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (522 18 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (510 510 (:TYPE-PRESCRIPTION ALISTP))
 (447 204 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (408 408 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (408 136 (:REWRITE COMMUTATIVITY-OF-+))
 (405 27 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (342 18 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (333 9 (:DEFINITION NTHCDR))
 (315 9 (:DEFINITION TRUE-LIST-LISTP))
 (286 41 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (277 277 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (272 272 (:REWRITE TAKE-WHEN-ATOM))
 (272 136 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (270 18 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (252 9 (:REWRITE CONSP-OF-NTHCDR))
 (216 27 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (204 68 (:REWRITE APPEND-OF-CONS-UNDER-SET-EQUIV))
 (201 6 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-10))
 (189 27 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (180 27 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (136 136 (:REWRITE PAINFUL-DEBUGGING-LEMMA-19))
 (136 136 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (123 41 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (82 82 (:TYPE-PRESCRIPTION ABS-FS-P))
 (82 82 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (82 82 (:REWRITE SUBSETP-MEMBER . 2))
 (82 82 (:REWRITE SUBSETP-MEMBER . 1))
 (82 82 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (81 9 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (72 72 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (54 54 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (54 27 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (41 41 (:REWRITE SUBSETP-MEMBER . 4))
 (41 41 (:REWRITE SUBSETP-MEMBER . 3))
 (41 41 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (41 41 (:REWRITE INTERSECTP-MEMBER . 3))
 (41 41 (:REWRITE INTERSECTP-MEMBER . 2))
 (41 41 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (41 41 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (41 41 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (36 36 (:TYPE-PRESCRIPTION D-E-P))
 (36 36 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (36 18 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (27 27 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (27 27 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (27 27 (:REWRITE SET::IN-SET))
 (27 9 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (18 18 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (18 18 (:TYPE-PRESCRIPTION DIRNAME))
 (18 18 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-7))
 (16 16 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9 9 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (9 9 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12
 (427 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (321 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (171 3 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (138 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (78 26 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (72 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (69 69 (:TYPE-PRESCRIPTION STRIP-CARS))
 (63 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (58 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (52 26 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (45 3 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (40 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (32 32 (:TYPE-PRESCRIPTION FRAME-P))
 (31 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (30 6 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (30 3 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (27 18 (:REWRITE DEFAULT-CAR))
 (27 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (26 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (24 3 (:DEFINITION ASSOC-EQUAL))
 (21 12 (:REWRITE DEFAULT-CDR))
 (21 3 (:DEFINITION NATP))
 (18 3 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (18 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 3 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (18 3 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (18 3 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (15 15 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (15 7 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (15 3 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (12 12 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
 (12 12 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE CONSP-OF-STRIP-CARS))
 (12 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (12 3 (:REWRITE MEMBER-WHEN-ATOM))
 (12 3 (:DEFINITION STRIP-CARS))
 (9 9 (:TYPE-PRESCRIPTION NATP))
 (8 8 (:TYPE-PRESCRIPTION ABS-FS-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (8 4 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6 6 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION NAT-LISTP))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (6 6 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (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 M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (4 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (4 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3 3 (:TYPE-PRESCRIPTION SET-EQUIV))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (3 3 (:REWRITE SUBSETP-MEMBER . 4))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE SUBSETP-MEMBER . 2))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (3 3 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (3 3 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (3 3 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3 3 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (3 3 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 )
(1ST-COMPLETE-UNDER-PATH-COULD-FIRE-UP-AT-A-PAINFUL-MOMENT
 (6778 118 (:REWRITE LEN-WHEN-PREFIXP))
 (3093 116 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1946 118 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (1536 260 (:DEFINITION LEN))
 (1178 116 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1106 65 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1028 482 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (987 29 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (970 20 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (950 686 (:REWRITE DEFAULT-CDR))
 (940 940 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (851 32 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (846 61 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (821 821 (:REWRITE DEFAULT-CAR))
 (578 25 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (540 180 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (540 180 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (520 260 (:REWRITE DEFAULT-+-2))
 (511 7 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (476 97 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (461 61 (:REWRITE FRAME-VAL-P-OF-CDAR-WHEN-FRAME-P))
 (457 388 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (441 361 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (418 418 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (404 107 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (393 393 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (386 386 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (378 21 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (362 362 (:LINEAR LEN-WHEN-PREFIXP))
 (348 108 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (330 110 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (275 159 (:REWRITE DEFAULT-<-2))
 (275 159 (:REWRITE DEFAULT-<-1))
 (260 260 (:REWRITE DEFAULT-+-1))
 (247 50 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (246 158 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (238 238 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (235 36 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (227 119 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (219 150 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (219 150 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (209 209 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (198 198 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (188 188 (:TYPE-PRESCRIPTION NATP))
 (180 180 (:LINEAR POSITION-WHEN-MEMBER))
 (180 180 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (155 155 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (155 155 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (155 155 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (155 155 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (150 50 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (140 12 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (130 130 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (122 61 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (118 118 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (113 28 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (113 28 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (113 28 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (113 28 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (108 108 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (103 103 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (101 65 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (100 100 (:TYPE-PRESCRIPTION ABS-FS-P))
 (99 99 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (95 29 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (74 20 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 (65 22 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (61 9 (:REWRITE NFIX-WHEN-ZP))
 (54 54 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (54 54 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (50 50 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (40 4 (:REWRITE ZP-OPEN))
 (37 37 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (36 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (34 34 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (34 34 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (34 34 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (32 16 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (31 31 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (29 29 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (29 29 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (29 29 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (25 10 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (25 10 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (24 12 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (22 16 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (21 21 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (20 20 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (20 8 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (17 17 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (17 17 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (17 17 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (17 17 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (17 17 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (17 17 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (16 16 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (14 7 (:REWRITE SET-EQUIV-ASYM))
 (12 12 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (8 8 (:REWRITE SUBSETP-REFL))
 (7 7 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7 7 (:REWRITE SUBSETP-OF-CDR))
 (6 6 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 )
(ABS-FIND-FILE-SRC-OF-FRAME->FRAME-1
 (1970 56 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1124 69 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (967 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (906 302 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (725 110 (:DEFINITION LEN))
 (717 124 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (717 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (716 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (690 2 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (671 16 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (644 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (620 302 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (503 198 (:REWRITE DEFAULT-CDR))
 (497 33 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (459 53 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (438 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (397 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (392 6 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (380 2 (:DEFINITION REMOVE-EQUAL))
 (344 2 (:DEFINITION NTHCDR))
 (342 18 (:DEFINITION ASSOC-EQUAL))
 (320 2 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (307 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (300 4 (:REWRITE CONSP-OF-NTHCDR))
 (294 2 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (292 10 (:REWRITE NFIX-WHEN-ZP))
 (289 15 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (284 8 (:REWRITE ZP-OPEN))
 (276 276 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (274 5 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12))
 (270 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (224 114 (:REWRITE DEFAULT-+-2))
 (206 17 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (193 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (186 62 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (186 62 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (185 5 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (180 8 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (172 5 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (162 5 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (146 28 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (137 5 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (136 124 (:REWRITE DEFAULT-CAR))
 (134 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (122 2 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (114 114 (:REWRITE DEFAULT-+-1))
 (106 6 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (96 70 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (92 2 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (86 30 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (84 84 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (83 53 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (77 29 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (77 5 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (74 66 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (72 15 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (70 70 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (69 33 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (68 4 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (66 66 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (62 62 (:LINEAR POSITION-WHEN-MEMBER))
 (62 62 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (62 38 (:REWRITE DEFAULT-<-2))
 (60 60 (:TYPE-PRESCRIPTION ABS-FS-P))
 (60 60 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (60 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (56 53 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (55 11 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (54 18 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (52 38 (:REWRITE DEFAULT-<-1))
 (50 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (48 11 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (48 10 (:REWRITE NFIX-WHEN-NATP))
 (48 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (42 42 (:TYPE-PRESCRIPTION HONS-ASSOC-EQUAL))
 (42 42 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (42 42 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (42 14 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (42 14 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (42 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (40 6 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (36 36 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (32 8 (:REWRITE MEMBER-WHEN-ATOM))
 (32 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (32 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (30 30 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (30 6 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (30 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (28 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (28 4 (:DEFINITION NATP))
 (28 2 (:DEFINITION HONS-ASSOC-EQUAL))
 (26 2 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (24 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (22 22 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (22 22 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (22 22 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (22 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (22 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (20 20 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (20 20 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (20 20 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (20 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (20 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (20 2 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (20 2 (:DEFINITION ALISTP))
 (18 18 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (18 18 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (16 16 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (16 4 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (16 4 (:DEFINITION STRIP-CARS))
 (16 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (15 15 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (14 14 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 6 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-17))
 (12 6 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (12 4 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (12 2 (:REWRITE NATP-OF-CDR-OF-HONS-ASSOC-EQUAL-WHEN-FD-TABLE-P))
 (12 2 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (12 2 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (12 2 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (12 2 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (10 4 (:REWRITE 1ST-COMPLETE-UNDER-PATH-COULD-FIRE-UP-AT-A-PAINFUL-MOMENT))
 (10 2 (:DEFINITION NFIX))
 (9 9 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 8 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION D-E-P))
 (8 8 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (8 8 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (8 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (8 4 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (8 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (8 2 (:DEFINITION HONS-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (6 6 (:TYPE-PRESCRIPTION ADDRS-AT))
 (6 6 (:REWRITE SUBSETP-MEMBER . 4))
 (6 6 (:REWRITE SUBSETP-MEMBER . 3))
 (6 6 (:REWRITE SUBSETP-MEMBER . 2))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (6 2 (:REWRITE COMMUTATIVITY-OF-+))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (4 4 (:REWRITE SET::IN-SET))
 (4 4 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (4 4 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (4 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (4 2 (:REWRITE SET-EQUIV-ASYM))
 (4 2 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (3 3 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-19
 (210 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (161 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (136 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (134 4 (:DEFINITION ASSOC-EQUAL))
 (104 4 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (80 6 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (77 1 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12))
 (51 17 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (40 17 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (36 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (34 2 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (26 6 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (25 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (21 21 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (19 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (18 18 (:TYPE-PRESCRIPTION LEN))
 (18 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (17 17 (:TYPE-PRESCRIPTION ZP))
 (17 17 (:TYPE-PRESCRIPTION FRAME-P))
 (17 17 (:REWRITE DEFAULT-CAR))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (15 3 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (14 14 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (14 14 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (12 12 (:TYPE-PRESCRIPTION ABS-FS-P))
 (12 12 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (10 1 (:DEFINITION ALISTP))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (8 2 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (7 7 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (6 6 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (6 6 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (5 5 (:TYPE-PRESCRIPTION ALISTP))
 (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))
 (5 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (4 4 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (3 3 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (3 1 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (2 2 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2 2 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1 1 (:REWRITE SUBSETP-REFL))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-24
 (25400 704 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (21897 532 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (21337 444 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (19382 201 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (18496 1210 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (17814 232 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (12514 304 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (9582 308 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (9512 46 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (8489 168 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (7744 376 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (6909 201 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (6492 306 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (6198 304 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (5820 30 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (5118 110 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (4589 376 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (3873 1519 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3827 126 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (3685 58 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (3467 604 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (3227 103 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (3159 42 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (2910 970 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2400 42 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2201 42 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (2164 29 (:REWRITE EQUAL-OF-ABS-FILE))
 (2066 201 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1696 232 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1595 29 (:REWRITE ABS-FILE-CONTENTS-FIX-WHEN-ABS-FILE-CONTENTS-P))
 (1532 126 (:REWRITE ABS-FILE-CONTENTS-P-CORRECTNESS-1))
 (1519 1519 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1500 148 (:DEFINITION ASSOC-EQUAL))
 (1460 308 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1409 704 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1408 1408 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1405 29 (:DEFINITION PUT-ASSOC-EQUAL))
 (1377 1377 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1324 1324 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1295 451 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1241 97 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (1208 221 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (1172 343 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1160 232 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (821 91 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (820 820 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (816 71 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (797 71 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (782 103 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (751 751 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (712 71 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (710 710 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (622 622 (:REWRITE DEFAULT-CAR))
 (610 610 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (610 610 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (557 42 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (515 304 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (513 53 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-CTX-APP-1-LEMMA-6))
 (501 42 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (468 468 (:REWRITE DEFAULT-CDR))
 (460 460 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (456 42 (:REWRITE MEMBER-WHEN-ATOM))
 (438 73 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (422 422 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (422 422 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (378 378 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (354 354 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (343 343 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (308 308 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FS-FIX))
 (252 126 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (242 242 (:TYPE-PRESCRIPTION NATP))
 (232 232 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (232 232 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (223 223 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-P))
 (221 221 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (204 68 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (200 200 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (148 89 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (146 146 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (132 26 (:REWRITE NFIX-WHEN-ZP))
 (131 131 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (131 131 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (104 13 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (103 103 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (87 87 (:TYPE-PRESCRIPTION ABS-FILE))
 (87 29 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (87 29 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (84 84 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (84 84 (:REWRITE SUBSETP-MEMBER . 2))
 (84 84 (:REWRITE SUBSETP-MEMBER . 1))
 (78 26 (:REWRITE NFIX-WHEN-NATP))
 (73 73 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (68 68 (:REWRITE ABS-FS-P-OF-ABS-FS-FIX))
 (63 21 (:DEFINITION NATP))
 (61 61 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (61 61 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (61 26 (:REWRITE ZP-OPEN))
 (59 59 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (59 59 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (59 59 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (59 59 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (59 59 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (59 59 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (58 58 (:REWRITE ABS-FS-P-OF-ABS-ALLOC-1))
 (51 50 (:REWRITE DEFAULT-<-1))
 (50 50 (:REWRITE DEFAULT-<-2))
 (42 42 (:TYPE-PRESCRIPTION NFIX))
 (42 42 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (42 42 (:REWRITE SUBSETP-MEMBER . 4))
 (42 42 (:REWRITE SUBSETP-MEMBER . 3))
 (42 42 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (42 42 (:REWRITE INTERSECTP-MEMBER . 3))
 (42 42 (:REWRITE INTERSECTP-MEMBER . 2))
 (42 42 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (32 32 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (30 30 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (29 29 (:TYPE-PRESCRIPTION D-E-P))
 (29 29 (:TYPE-PRESCRIPTION ATOM))
 (29 29 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (27 6 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-25)
(ABS-NO-DUPS-P-OF-ABS-ALLOC
 (5 5 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 )
(CTX-APP-OK-OF-ABS-ALLOC-2
 (155822 4784 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (124994 3242 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (118809 1289 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (109877 1387 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (101229 141 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (96005 2243 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (57003 2089 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (54410 59 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (51211 2243 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (50714 807 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (48549 207 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (38661 1859 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (33409 1270 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (29211 2233 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (27583 245 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (27368 4147 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (25003 945 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-M1-FILE-CONTENTS-P))
 (24600 352 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (20515 7503 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (20435 296 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (20349 740 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 2))
 (20308 60 (:REWRITE ABS-ALLOC-CORRECTNESS-1))
 (16881 5627 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (16250 59 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL))
 (15946 35 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (12668 1213 (:DEFINITION ASSOC-EQUAL))
 (12262 726 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 3))
 (12114 18 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-1))
 (11638 136 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (11383 1289 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (11369 1681 (:DEFINITION LEN))
 (10528 84 (:REWRITE EQUAL-OF-ABS-FILE))
 (10417 478 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (9746 2104 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (9490 9490 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (8901 6090 (:REWRITE DEFAULT-CDR))
 (8582 172 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (8251 344 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8014 1387 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8008 4745 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (7907 128 (:DEFINITION PUT-ASSOC-EQUAL))
 (7788 7788 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (7558 2674 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (7503 7503 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (7183 478 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (6961 580 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-52))
 (6745 1349 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (6590 2065 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (6564 1005 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (6307 756 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX-LEMMA-1 . 4))
 (6039 333 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (5702 5702 (:REWRITE DEFAULT-CAR))
 (5080 596 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (4903 4903 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4762 18 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (4564 54 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (4367 79 (:REWRITE M1-FILE-P-OF-ABS-FILE))
 (4360 4360 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4333 606 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4120 4120 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (3876 3876 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3860 2243 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (3667 3667 (:TYPE-PRESCRIPTION ABS-FILE-CONTENTS-FIX))
 (3427 1718 (:REWRITE DEFAULT-+-2))
 (3231 2301 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3182 63 (:REWRITE SUBSETP-OF-CONS))
 (3102 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-47 . 2))
 (2996 42 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (2852 2852 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2796 344 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2768 2768 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2718 2718 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (2696 30 (:LINEAR LEN-OF-MEMBER))
 (2688 448 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2686 2686 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (2566 3 (:REWRITE ABS-FIND-FILE-HELPER-OF-ABS-FS-FIX))
 (2490 945 (:REWRITE ABS-FILE-CONTENTS-P-WHEN-STRINGP))
 (2481 836 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2474 126 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (2442 2442 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2442 2442 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2354 8 (:REWRITE CONSP-OF-APPEND))
 (2316 772 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2316 772 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2284 91 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (2208 150 (:REWRITE CONSP-OF-ASSOC-OF-ABS-FS-FIX))
 (2196 39 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-18))
 (1985 23 (:REWRITE M1-REGULAR-FILE-P-OF-ABS-FILE))
 (1935 349 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1908 636 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1894 39 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC))
 (1856 756 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-34 . 1))
 (1740 95 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (1718 1718 (:REWRITE DEFAULT-+-1))
 (1717 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (1691 8 (:DEFINITION BINARY-APPEND))
 (1671 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-47 . 1))
 (1618 788 (:LINEAR POSITION-WHEN-MEMBER))
 (1544 1544 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1537 158 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-CTX-APP-1-LEMMA-6))
 (1530 15 (:DEFINITION UNSIGNED-BYTE-P))
 (1515 15 (:DEFINITION INTEGER-RANGE-P))
 (1488 177 (:REWRITE ABS-DIRECTORY-FILE-P-OF-ABS-FILE))
 (1480 1426 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1466 1466 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (1422 157 (:REWRITE SUBSETP-MEMBER . 3))
 (1349 1349 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1343 344 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (1280 5 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (1257 157 (:REWRITE MEMBER-WHEN-ATOM))
 (1225 265 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (1146 202 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1018 63 (:REWRITE SUBSETP-CONS-2))
 (1016 563 (:REWRITE DEFAULT-<-1))
 (1000 1000 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (994 563 (:REWRITE DEFAULT-<-2))
 (933 311 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (844 844 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (844 844 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (844 844 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (840 210 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE-CONTENTS-FIX))
 (825 30 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (810 810 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-4))
 (810 810 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (810 146 (:DEFINITION POSITION-EQUAL-AC))
 (744 54 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-239))
 (714 18 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (698 698 (:TYPE-PRESCRIPTION PREFIXP))
 (666 666 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (661 661 (:TYPE-PRESCRIPTION ABS-FILE))
 (635 635 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (537 63 (:REWRITE SET-EQUIV-OF-NIL))
 (536 24 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (517 517 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (517 517 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (504 42 (:REWRITE SUBSETP-CAR-MEMBER))
 (460 42 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (457 457 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (444 444 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (433 18 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-2))
 (420 25 (:REWRITE LENGTH-WHEN-STRINGP))
 (393 393 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (374 374 (:REWRITE CTX-APP-OK-WHEN-ABSFAT-EQUIV-LEMMA-3))
 (374 374 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-ADDRS-AT-1-LEMMA-2))
 (365 365 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (365 365 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (364 364 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (341 159 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (330 54 (:DEFINITION NATP))
 (326 50 (:DEFINITION POSITION-EQUAL))
 (314 314 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (304 304 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-114))
 (298 136 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (269 269 (:REWRITE SUBSETP-MEMBER . 2))
 (265 265 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (252 84 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (245 110 (:REWRITE STR::CONSP-OF-EXPLODE))
 (240 24 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (240 15 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (225 225 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (210 210 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (210 14 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE-LEMMA-4 . 2))
 (203 81 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-73))
 (202 202 (:REWRITE SUBSETP-TRANS2))
 (202 202 (:REWRITE SUBSETP-TRANS))
 (189 42 (:REWRITE NO-DUPLICATESP-OF-ABS-ADDRS-OF-ABS-FS-FIX))
 (187 161 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (180 18 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (172 172 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (172 172 (:REWRITE INTERSECTP-MEMBER . 3))
 (172 172 (:REWRITE INTERSECTP-MEMBER . 2))
 (172 172 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (165 165 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (164 164 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-79))
 (157 157 (:REWRITE SUBSETP-MEMBER . 4))
 (151 151 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (147 49 (:REWRITE UNICITY-OF-0))
 (145 145 (:REWRITE ABS-ADDRS-OF-CTX-APP-LIST))
 (144 36 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (141 141 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (141 141 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (126 126 (:REWRITE SUBSETP-NIL))
 (121 26 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (120 24 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (118 59 (:REWRITE ABS-FILE->D-E-OF-ABS-FILE))
 (110 110 (:REWRITE ABS-FILE-CONTENTS-P-OF-ABS-FILE-CONTENTS-FIX))
 (104 55 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (94 47 (:REWRITE SET-EQUIV-ASYM))
 (88 8 (:DEFINITION ABS-FILE-CONTENTS-P))
 (84 84 (:TYPE-PRESCRIPTION D-E-P))
 (84 84 (:REWRITE D-E-P-OF-ABS-FILE->D-E))
 (80 80 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (75 55 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (72 18 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (70 8 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (61 61 (:TYPE-PRESCRIPTION ATOM))
 (60 60 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (60 30 (:REWRITE DEFAULT-*-2))
 (60 25 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (59 59 (:REWRITE D-E-FIX-UNDER-D-E-EQUIV))
 (59 59 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (54 4 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (48 6 (:REWRITE MEMBER-OF-ABS-FS-FIX-WHEN-NATP))
 (47 47 (:TYPE-PRESCRIPTION SET-EQUIV))
 (47 47 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (42 42 (:REWRITE SUBSETP-OF-CDR))
 (42 42 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (42 42 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (42 42 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (39 39 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (32 32 (:TYPE-PRESCRIPTION POSITION-WHEN-MEMBER))
 (32 32 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (30 30 (:REWRITE DEFAULT-*-1))
 (28 28 (:REWRITE ABS-TOP-ADDRS-OF-ABS-FS-FIX))
 (24 24 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (23 23 (:REWRITE ASSOC-AFTER-PUT-ASSOC))
 (20 20 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
 (20 20 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (20 10 (:REWRITE APPEND-OF-CONS))
 (12 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-109))
 (9 5 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (9 3 (:REWRITE COMMUTATIVITY-OF-+))
 (8 8 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (8 8 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (8 4 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (6 1 (:REWRITE FAT32-FILENAME-LIST-FIX-OF-CONS))
 (5 5 (:REWRITE CTX-APP-OK-WHEN-ABS-COMPLETE-LEMMA-4 . 1))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (4 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(ABS-DIRECTORY-FILE-P-WHEN-NOT-M1-REGULAR-FILE-P
 (16 1 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (7 2 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (7 2 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-P))
 (6 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4 2 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (1 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 )
(STRIP-CARS-OF-FRAME->FRAME)
(ABS-FIND-FILE-SRC-OF-PUT-ASSOC
 (878442 252 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (874278 115 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (465830 7067 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (425804 41097 (:DEFINITION LEN))
 (395833 51382 (:REWRITE DEFAULT-CDR))
 (348786 6494 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (326457 12906 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (309468 1352 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (304048 44357 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (292757 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-109))
 (276677 1163 (:REWRITE CONSP-OF-NTHCDR))
 (209701 338 (:REWRITE CAR-OF-NTHCDR))
 (209363 338 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (173901 190 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (171093 6904 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (167565 9821 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (138337 13 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-3))
 (126799 72 (:REWRITE ASSOC-AFTER-PUT-ASSOC))
 (125136 45 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12))
 (124045 284 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (108622 193 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (107459 412 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (100581 2247 (:REWRITE ZP-OPEN))
 (98585 3915 (:REWRITE NFIX-WHEN-ZP))
 (93704 93704 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (91162 77 (:REWRITE ABS-NO-DUPS-P-OF-PUT-ASSOC-EQUAL))
 (83348 41816 (:REWRITE DEFAULT-+-2))
 (71756 9 (:REWRITE ABS-FIND-FILE-OF-REMOVE-ASSOC-1))
 (69241 4570 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (66719 12916 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (65487 21829 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (65487 21829 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (63024 33 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (55935 419 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (55745 752 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (54601 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-9))
 (53384 308 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (53006 77 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-1))
 (46584 202 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (45200 405 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (43735 419 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (43068 306 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (42154 41816 (:REWRITE DEFAULT-+-1))
 (35661 970 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (34618 190 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (34522 3524 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (31628 1223 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (30507 405 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (30445 1050 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (29239 450 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (29098 338 (:REWRITE LEN-OF-NTHCDR))
 (26645 2169 (:DEFINITION ASSOC-EQUAL))
 (26226 900 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (25196 1350 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-NOT-M1-REGULAR-FILE-P))
 (25144 142 (:DEFINITION NTHCDR))
 (24280 1138 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (23697 5237 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (23585 1501 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (22419 19642 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (21829 21829 (:LINEAR POSITION-WHEN-MEMBER))
 (21829 21829 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (21216 7072 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (20614 11460 (:REWRITE DEFAULT-<-2))
 (19615 147 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (19174 699 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (18468 3633 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (18084 1050 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (17696 11460 (:REWRITE DEFAULT-<-1))
 (15918 15918 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (15241 5448 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (14590 600 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (14050 279 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (13814 23 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-11))
 (13651 12991 (:REWRITE DEFAULT-CAR))
 (13320 6119 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (12998 3359 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (11929 11929 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (11498 156 (:DEFINITION ATOM))
 (10563 405 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (10485 252 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (10241 9849 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (10091 9470 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (10028 80 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (9605 252 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (9582 3194 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (9574 9574 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (9470 9470 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (9275 699 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (9140 9140 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (9033 246 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (9009 279 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (8626 8626 (:TYPE-PRESCRIPTION ZP))
 (8487 381 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (8112 88 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (8112 88 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (8112 88 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (7752 137 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (7634 184 (:REWRITE DIR-STREAM-TABLE-P-OF-CDR-WHEN-DIR-STREAM-TABLE-P))
 (7554 104 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (7504 600 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (7406 1251 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (7233 705 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (7208 67 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (7130 330 (:REWRITE SUBSETP-CAR-MEMBER))
 (7102 588 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (7021 991 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (6794 93 (:REWRITE REMOVE-WHEN-ABSENT))
 (6647 1223 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (6472 6472 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (6393 59 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (6175 1251 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (6124 6124 (:TYPE-PRESCRIPTION ABS-FS-P))
 (6089 1350 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5862 1027 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (5760 4084 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (5757 4084 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (5590 4570 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5420 1204 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5419 5419 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (5198 511 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (5069 2081 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5061 1851 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (5022 5022 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (4998 169 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (4788 117 (:REWRITE FRAME-P-OF-PUT-ASSOC))
 (4500 4500 (:TYPE-PRESCRIPTION M1-FILE-P))
 (4312 227 (:DEFINITION REMOVE1-ASSOC-EQUAL))
 (4281 19 (:REWRITE STRIP-CARS-OF-REMOVE-ASSOC))
 (4185 23 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (4151 1050 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (4098 284 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (4084 4084 (:REWRITE SUBSETP-TRANS2))
 (4084 4084 (:REWRITE SUBSETP-TRANS))
 (4072 1050 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (3978 1050 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (3693 373 (:DEFINITION NFIX))
 (3633 3633 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (3500 150 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (3450 81 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC-WHEN-NO-DUPLICATESP))
 (3388 826 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (3266 454 (:REWRITE REMOVE1-ASSOC-WHEN-ABSENT . 1))
 (3236 3236 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (3226 1050 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (3076 419 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (3046 511 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-7))
 (3028 125 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (2933 419 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (2905 2905 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (2895 2895 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (2845 77 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE1-ASSOC-2))
 (2833 1055 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2570 31 (:DEFINITION REMOVE-EQUAL))
 (2520 92 (:REWRITE LEN-OF-PUT-ASSOC-EQUAL-2))
 (2462 2462 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2462 2462 (:TYPE-PRESCRIPTION D-E-P))
 (2462 2462 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2462 1231 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2446 2446 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2421 103 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (2323 2323 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (2280 900 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2276 2276 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2248 1027 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2170 511 (:REWRITE ABSFAT-SUBSETP-GUARD-LEMMA-1))
 (2143 146 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (2122 450 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (2108 2108 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2108 2108 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2100 2100 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2095 201 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (1848 1848 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (1800 1800 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (1725 345 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (1650 1650 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (1579 438 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1487 77 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (1481 92 (:REWRITE LEN-OF-PUT-ASSOC-EQUAL))
 (1465 11 (:REWRITE SUBSETP-OF-REMOVE1))
 (1438 1438 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1384 970 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1382 115 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (1382 112 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (1274 1274 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1274 1274 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (1274 1274 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1255 81 (:REWRITE ABS-NO-DUPS-P-OF-CTX-APP-LEMMA-4))
 (1251 1251 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1248 699 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1231 1231 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1231 1231 (:REWRITE SET::IN-SET))
 (1170 306 (:REWRITE MEMBER-WHEN-ATOM))
 (1169 1169 (:REWRITE CONSP-OF-LIST-FIX))
 (1146 1146 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1144 47 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (1080 1080 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (1079 357 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (1072 46 (:REWRITE 1ST-COMPLETE-UNDER-PATH-COULD-FIRE-UP-AT-A-PAINFUL-MOMENT))
 (1067 47 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (1054 1054 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (1003 67 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (973 26 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (969 961 (:REWRITE CONSP-OF-STRIP-CARS))
 (930 112 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (913 62 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (910 69 (:REWRITE ASSOC-OF-REMOVE1-ASSOC))
 (900 900 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (898 154 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE1-ASSOC-EQUAL))
 (894 447 (:REWRITE SET-EQUIV-ASYM))
 (882 882 (:TYPE-PRESCRIPTION HONS-ASSOC-EQUAL))
 (874 164 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (826 826 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (824 824 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (816 100 (:REWRITE ABS-NO-DUPS-P-OF-REMOVE-ASSOC))
 (808 808 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (792 33 (:REWRITE STRIP-CARS-OF-PUT-ASSOC))
 (779 34 (:REWRITE LEN-OF-REMOVE-ASSOC-WHEN-NO-DUPLICATESP-STRIP-CARS))
 (778 778 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (771 257 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (744 744 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (744 693 (:DEFINITION NULL))
 (722 722 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (710 710 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (696 12 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (693 693 (:TYPE-PRESCRIPTION NULL))
 (690 115 (:REWRITE FAT32-FILENAME-LIST-P-OF-NTHCDR))
 (686 88 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (676 338 (:REWRITE DEFAULT-UNARY-MINUS))
 (657 657 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-2))
 (636 372 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (632 632 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (626 73 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-157))
 (622 622 (:TYPE-PRESCRIPTION NFIX))
 (588 42 (:DEFINITION HONS-ASSOC-EQUAL))
 (587 47 (:REWRITE M1-FILE-ALIST-P-OF-PUT-ASSOC))
 (582 24 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (558 75 (:REWRITE FILE-TABLE-P-OF-REMOVE-ASSOC))
 (558 75 (:REWRITE FD-TABLE-P-OF-REMOVE-ASSOC))
 (558 75 (:REWRITE DIR-STREAM-TABLE-P-OF-REMOVE-ASSOC))
 (556 190 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (513 43 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (513 43 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (513 43 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (502 276 (:REWRITE SUBSETP-MEMBER . 4))
 (484 112 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (475 73 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (457 229 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (456 36 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (455 455 (:TYPE-PRESCRIPTION SET-EQUIV))
 (445 445 (:REWRITE SUBSETP-OF-CDR))
 (445 24 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (440 42 (:REWRITE NATP-OF-CDR-OF-HONS-ASSOC-EQUAL-WHEN-FD-TABLE-P))
 (438 438 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (433 35 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (426 408 (:REWRITE SUBSETP-MEMBER . 2))
 (426 142 (:REWRITE COMMUTATIVITY-OF-+))
 (415 145 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (410 404 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (410 20 (:REWRITE FRAME-VAL-P-OF-CDAR-WHEN-FRAME-P))
 (408 408 (:REWRITE SUBSETP-MEMBER . 1))
 (395 389 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (387 31 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (345 345 (:TYPE-PRESCRIPTION ADDRS-AT))
 (342 62 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (329 47 (:REWRITE HIFAT-NO-DUPS-P-OF-PUT-ASSOC))
 (322 316 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (308 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-OF-PUT-ASSOC))
 (307 307 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (307 307 (:REWRITE INTERSECTP-MEMBER . 3))
 (307 307 (:REWRITE INTERSECTP-MEMBER . 2))
 (307 307 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (297 99 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (290 2 (:REWRITE MEMBER-OF-REMOVE))
 (280 35 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (276 276 (:REWRITE SUBSETP-MEMBER . 3))
 (257 257 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (242 62 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (232 116 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (230 115 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (230 80 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (226 2 (:REWRITE NAT-LISTP-OF-REMOVE))
 (224 14 (:DEFINITION BINARY-APPEND))
 (219 219 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-58))
 (219 219 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-23))
 (219 73 (:REWRITE ABS-FS-P-OF-ABS-FILE->CONTENTS-OF-CDR-OF-ASSOC))
 (200 200 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (187 187 (:REWRITE SUBSETP-REFL))
 (184 46 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (168 42 (:DEFINITION HONS-EQUAL))
 (166 166 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (166 166 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (150 150 (:REWRITE ASSOC-AFTER-REMOVE1-ASSOC))
 (150 13 (:REWRITE SUBSETP-OF-REMOVE2))
 (145 145 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (145 145 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (142 142 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (142 142 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (132 132 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (116 116 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (115 115 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (115 115 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (114 30 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (99 99 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (98 14 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (90 12 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (78 4 (:REWRITE SUBSETP-OF-STRIP-CARS-OF-PUT-ASSOC))
 (72 6 (:REWRITE FILE-TABLE-P-OF-PUT-ASSOC))
 (72 6 (:REWRITE FD-TABLE-P-OF-PUT-ASSOC))
 (72 6 (:REWRITE DIR-STREAM-TABLE-P-OF-PUT-ASSOC))
 (70 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (66 66 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (61 4 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (56 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-14))
 (54 25 (:REWRITE ABS-FIND-FILE-SRC-OF-REMOVE-ASSOC-1))
 (54 2 (:REWRITE FRAME-ADDRS-ROOT-OF-PUT-ASSOC))
 (54 2 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (52 52 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (48 4 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (38 2 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (28 28 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (24 24 (:REWRITE-QUOTED-CONSTANT ABS-FILE-CONTENTS-FIX-UNDER-ABS-FILE-CONTENTS-EQUIV))
 (20 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (18 4 (:REWRITE ABS-FIND-FILE-OF-PUT-ASSOC-LEMMA-7 . 1))
 (12 12 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (11 4 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (10 2 (:REWRITE ABS-ADDRS-OF-REMOVE))
 (6 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (6 2 (:REWRITE APPEND-OF-CONS-UNDER-SET-EQUIV))
 (6 2 (:REWRITE ABS-FS-P-OF-REMOVE))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 2 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (2 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (1 1 (:REWRITE MEMBER-OF-CAR))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-27
 (86856 4277 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (40429 358 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (25586 759 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (24020 779 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (17171 673 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16501 319 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (15822 491 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (11930 551 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (11881 3427 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (10849 1878 (:DEFINITION LEN))
 (9576 4840 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (7911 1135 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (7873 1763 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (6504 6067 (:REWRITE DEFAULT-CDR))
 (6176 245 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (6106 1693 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (6094 5694 (:REWRITE DEFAULT-CAR))
 (4708 71 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (4659 3447 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (4361 3653 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (4340 239 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (4236 4236 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3923 272 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (3919 29 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (3756 1878 (:REWRITE DEFAULT-+-2))
 (3607 352 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (3605 3605 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (3484 60 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (3375 133 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (3248 1310 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (3179 154 (:REWRITE SUBSETP-CAR-MEMBER))
 (3165 29 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (3106 3106 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2942 2942 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (2910 186 (:REWRITE FRAME-P-OF-PUT-ASSOC))
 (2674 588 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (2620 2620 (:TYPE-PRESCRIPTION PREFIXP))
 (2618 2420 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2549 175 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (2472 824 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2472 824 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2432 1553 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2162 1081 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2098 1096 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2098 1096 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2078 78 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (2025 125 (:REWRITE NFIX-WHEN-ZP))
 (1989 66 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1971 1087 (:REWRITE DEFAULT-<-2))
 (1938 1938 (:TYPE-PRESCRIPTION ABS-FS-P))
 (1878 1878 (:REWRITE DEFAULT-+-1))
 (1825 532 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (1739 1087 (:REWRITE DEFAULT-<-1))
 (1716 858 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (1535 1535 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (1482 90 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1471 1471 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (1431 69 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1410 470 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1193 39 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (1135 1135 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (1096 1096 (:REWRITE SUBSETP-TRANS2))
 (1096 1096 (:REWRITE SUBSETP-TRANS))
 (1083 319 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1078 71 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (1068 1068 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1049 353 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 (996 48 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (996 48 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (996 48 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (982 982 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (898 78 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC-EQUAL))
 (870 29 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (842 842 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (824 824 (:LINEAR POSITION-WHEN-MEMBER))
 (824 824 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (810 52 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (704 352 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (671 491 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (654 42 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (628 628 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (573 573 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (562 562 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (562 562 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (562 562 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (546 78 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOC))
 (516 48 (:REWRITE FILE-TABLE-P-OF-PUT-ASSOC))
 (516 48 (:REWRITE FD-TABLE-P-OF-PUT-ASSOC))
 (516 48 (:REWRITE DIR-STREAM-TABLE-P-OF-PUT-ASSOC))
 (499 35 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (452 87 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (430 172 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (430 172 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (416 52 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (396 66 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (396 66 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (381 57 (:DEFINITION NFIX))
 (358 358 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (356 29 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (350 350 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (330 66 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (324 324 (:REWRITE CONSP-OF-STRIP-CARS))
 (322 322 (:REWRITE CONSP-OF-LIST-FIX))
 (304 304 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (298 29 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (284 71 (:REWRITE MEMBER-WHEN-ATOM))
 (282 47 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (268 268 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (268 268 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (266 266 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (228 38 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (228 38 (:REWRITE DIR-STREAM-TABLE-P-OF-CDR-WHEN-DIR-STREAM-TABLE-P))
 (210 105 (:REWRITE SET-EQUIV-ASYM))
 (201 201 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (200 152 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (192 48 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (190 29 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (189 189 (:TYPE-PRESCRIPTION HONS-ASSOC-EQUAL))
 (182 134 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (182 134 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (180 35 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (175 55 (:REWRITE ASSOC-AFTER-REMOVE-ASSOC))
 (174 174 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (169 169 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (141 81 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (134 134 (:REWRITE SUBSETP-MEMBER . 2))
 (134 134 (:REWRITE SUBSETP-MEMBER . 1))
 (132 132 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (132 132 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (132 132 (:TYPE-PRESCRIPTION D-E-P))
 (132 132 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (132 66 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (126 9 (:DEFINITION HONS-ASSOC-EQUAL))
 (108 9 (:REWRITE NATP-OF-CDR-OF-HONS-ASSOC-EQUAL-WHEN-FD-TABLE-P))
 (105 105 (:TYPE-PRESCRIPTION SET-EQUIV))
 (105 105 (:REWRITE SUBSETP-OF-CDR))
 (98 18 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (71 71 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (71 71 (:REWRITE INTERSECTP-MEMBER . 3))
 (71 71 (:REWRITE INTERSECTP-MEMBER . 2))
 (71 71 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (70 70 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (70 70 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (66 66 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (66 66 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (66 66 (:REWRITE SET::IN-SET))
 (64 35 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (60 6 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (51 51 (:REWRITE SUBSETP-MEMBER . 4))
 (51 51 (:REWRITE SUBSETP-MEMBER . 3))
 (48 48 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (48 48 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (36 9 (:DEFINITION HONS-EQUAL))
 (21 21 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (12 12 (:REWRITE FRAME-VAL-P-OF-CDAR-WHEN-FRAME-P))
 )
(1ST-COMPLETE-UNDER-PATH-OF-REMOVE-ASSOC-1
 (7976 72 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (6149 86 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (3744 77 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (3157 105 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (2132 78 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1874 84 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (1798 78 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (1742 101 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (1490 58 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1186 192 (:DEFINITION LEN))
 (1082 216 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (1007 266 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (973 60 (:REWRITE FRAME-P-OF-REMOVE-ASSOC))
 (888 868 (:REWRITE DEFAULT-CAR))
 (874 254 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (852 58 (:REWRITE SUBSETP-CAR-MEMBER))
 (790 10 (:REWRITE FRAME-P-OF-CONS))
 (780 102 (:DEFINITION ASSOC-EQUAL))
 (779 723 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (736 176 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (707 701 (:REWRITE DEFAULT-CDR))
 (630 630 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (608 54 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (608 19 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (591 235 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (577 30 (:REWRITE CONSP-OF-REMOVE-ASSOC-1))
 (553 270 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (540 366 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (518 105 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (506 506 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (504 24 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (496 496 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (494 494 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (440 440 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (416 416 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (385 77 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (384 192 (:REWRITE DEFAULT-+-2))
 (360 360 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (360 30 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (356 356 (:TYPE-PRESCRIPTION ABS-FS-P))
 (348 116 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (332 248 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (332 62 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (323 19 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (315 315 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (312 24 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (312 24 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (312 24 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (308 84 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (300 82 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (294 294 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (270 168 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (266 19 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (252 84 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (252 84 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (247 247 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (242 164 (:REWRITE DEFAULT-<-2))
 (242 164 (:REWRITE DEFAULT-<-1))
 (216 216 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (212 24 (:DEFINITION NATP))
 (210 210 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (209 19 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (192 192 (:REWRITE DEFAULT-+-1))
 (190 19 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (186 72 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 (168 24 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (156 52 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (154 154 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (154 154 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (152 19 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (136 136 (:TYPE-PRESCRIPTION NATP))
 (133 19 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (132 12 (:REWRITE FILE-TABLE-P-OF-REMOVE-ASSOC))
 (132 12 (:REWRITE FD-TABLE-P-OF-REMOVE-ASSOC))
 (132 12 (:REWRITE DIR-STREAM-TABLE-P-OF-REMOVE-ASSOC))
 (116 116 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (116 58 (:REWRITE SET-EQUIV-ASYM))
 (114 19 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (108 54 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (106 28 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (102 102 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (96 96 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (96 96 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (96 96 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (88 88 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (88 88 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (88 88 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (88 88 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (88 88 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (84 84 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (84 84 (:LINEAR POSITION-WHEN-MEMBER))
 (84 84 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (77 77 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (72 72 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (72 12 (:REWRITE FILE-TABLE-P-OF-CDR-WHEN-FILE-TABLE-P))
 (72 12 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 (72 12 (:REWRITE DIR-STREAM-TABLE-P-OF-CDR-WHEN-DIR-STREAM-TABLE-P))
 (60 6 (:REWRITE FRAME-VAL-P-OF-CDAR-WHEN-FRAME-P))
 (58 58 (:TYPE-PRESCRIPTION SET-EQUIV))
 (58 58 (:REWRITE SUBSETP-OF-CDR))
 (58 58 (:REWRITE SUBSETP-MEMBER . 2))
 (58 58 (:REWRITE SUBSETP-MEMBER . 1))
 (54 18 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (48 48 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (48 48 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (48 48 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (38 38 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (38 38 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (38 38 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (38 38 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (38 19 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-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))
 (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))
 (6 6 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 )
(FAT32-FILENAME-LIST-PREFIXP-WHEN-FAT32-FILENAME-LIST-PREFIXP
 (133 3 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (55 2 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (47 12 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (45 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (30 6 (:DEFINITION LEN))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (22 22 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (18 2 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (16 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14 4 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (12 12 (:REWRITE DEFAULT-CDR))
 (12 6 (:REWRITE DEFAULT-+-2))
 (12 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (11 11 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (9 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (6 6 (:REWRITE DEFAULT-CAR))
 (6 6 (:REWRITE DEFAULT-+-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 PREFIXP))
 (4 2 (:REWRITE DEFAULT-<-2))
 (4 2 (:REWRITE DEFAULT-<-1))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-29
 (1330 20 (:REWRITE REMOVE-WHEN-ABSENT))
 (456 5 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (403 4 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (321 3 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (310 18 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (306 6 (:REWRITE ABS-FS-P-OF-PUT-ASSOC-EQUAL))
 (261 14 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (245 7 (:DEFINITION PUT-ASSOC-EQUAL))
 (237 79 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (234 13 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (196 48 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (195 23 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (165 3 (:REWRITE ABS-FILE-ALIST-P-OF-PUT-ASSOC-EQUAL))
 (158 79 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (138 3 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (131 5 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (129 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (128 102 (:REWRITE DEFAULT-CAR))
 (111 14 (:DEFINITION ASSOC-EQUAL))
 (110 7 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (105 6 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (104 10 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (84 59 (:REWRITE DEFAULT-CDR))
 (79 22 (:REWRITE MEMBER-WHEN-ATOM))
 (72 6 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (67 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (65 65 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (63 17 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (63 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (57 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (57 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (56 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (52 52 (:TYPE-PRESCRIPTION NATP))
 (48 48 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (48 3 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (44 11 (:DEFINITION STRIP-CARS))
 (42 42 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (42 21 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (42 14 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (42 7 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (42 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-NOT-M1-REGULAR-FILE-P))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (36 6 (:REWRITE ABS-FILE-P-WHEN-ABS-DIRECTORY-FILE-P))
 (35 10 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (34 34 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (34 34 (:REWRITE CONSP-OF-STRIP-CARS))
 (34 16 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (33 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (31 4 (:REWRITE MEMBER-OF-STRIP-CARS-WHEN-FRAME-P))
 (30 3 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (27 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (27 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (26 26 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-P))
 (24 24 (:REWRITE SUBSETP-MEMBER . 2))
 (24 24 (:REWRITE SUBSETP-MEMBER . 1))
 (24 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (24 4 (:DEFINITION NATP))
 (23 23 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (23 23 (:REWRITE INTERSECTP-MEMBER . 3))
 (23 23 (:REWRITE INTERSECTP-MEMBER . 2))
 (23 23 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (22 16 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (22 1 (:REWRITE MEMBER-OF-CONS))
 (21 21 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (21 6 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (21 6 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (20 20 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (20 20 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (20 20 (:REWRITE SUBSETP-MEMBER . 4))
 (20 20 (:REWRITE SUBSETP-MEMBER . 3))
 (18 3 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (18 3 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (18 3 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (18 3 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (17 17 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (17 10 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (16 16 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (15 15 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (15 15 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (15 15 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (15 15 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (14 14 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (14 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (13 13 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (12 12 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
 (12 12 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (12 12 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 12 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (12 6 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (12 6 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (9 9 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (9 3 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (6 6 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION NAT-LISTP))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6 6 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (6 6 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (6 6 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (6 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (6 3 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (5 1 (:REWRITE NAMES-AT-OF-PUT-ASSOC))
 (5 1 (:REWRITE ABS-FS-FIX-OF-PUT-ASSOC-EQUAL))
 (4 4 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:REWRITE DEFAULT-<-1))
 (3 3 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (3 3 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3 3 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 )
(ABS-COMPLETE-OF-ABS-FS-FIX
 (29 29 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (29 8 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (19 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (16 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (11 11 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (10 5 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION ABS-FS-P))
 (7 3 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (6 6 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (6 2 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 1))
 (2 1 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-30
 (1440 52 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1055 18 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (723 6 (:REWRITE REMOVE-WHEN-ABSENT))
 (641 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (559 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (558 14 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (489 29 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (444 3 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (421 13 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (414 3 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (380 2 (:DEFINITION REMOVE-EQUAL))
 (343 24 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (308 4 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (280 2 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (267 89 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (250 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (240 1 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (223 13 (:DEFINITION ASSOC-EQUAL))
 (210 210 (:TYPE-PRESCRIPTION STRIP-CARS))
 (209 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (206 5 (:REWRITE ABS-ADDRS-OF-CTX-APP-LIST))
 (174 1 (:REWRITE NAT-LISTP-OF-REMOVE))
 (170 7 (:REWRITE SUBSETP-OF-REMOVE2))
 (165 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (159 49 (:REWRITE DEFAULT-CDR))
 (159 5 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (135 1 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (121 16 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (120 4 (:REWRITE MEMBER-OF-STRIP-CARS))
 (118 40 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (112 8 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (86 5 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (84 84 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (83 71 (:REWRITE DEFAULT-CAR))
 (80 8 (:REWRITE ZP-OPEN))
 (79 29 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (74 74 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (67 38 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (60 24 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (57 9 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (51 18 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (48 48 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (48 48 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (45 18 (:REWRITE MEMBER-WHEN-ATOM))
 (44 11 (:DEFINITION STRIP-CARS))
 (44 2 (:REWRITE FRAME-ADDRS-ROOT-CORRECTNESS-2))
 (40 40 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (39 6 (:DEFINITION NATP))
 (38 38 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (37 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (36 36 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (35 35 (:TYPE-PRESCRIPTION ABS-FS-P))
 (35 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (30 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (29 29 (:REWRITE SUBSETP-TRANS2))
 (29 29 (:REWRITE SUBSETP-TRANS))
 (29 29 (:REWRITE CONSP-OF-STRIP-CARS))
 (28 28 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (28 4 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (27 6 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (24 8 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (24 8 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (24 2 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (22 22 (:REWRITE DEFAULT-<-2))
 (22 22 (:REWRITE DEFAULT-<-1))
 (22 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (19 1 (:REWRITE ABS-FILE-ALIST-P-OF-REMOVE-EQUAL))
 (19 1 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (18 18 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 3))
 (18 18 (:REWRITE INTERSECTP-MEMBER . 2))
 (18 18 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (18 3 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (18 3 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (18 3 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (18 3 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (17 3 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (17 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (16 16 (:REWRITE SUBSETP-MEMBER . 2))
 (16 16 (:REWRITE SUBSETP-MEMBER . 1))
 (16 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (16 8 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (16 7 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (14 14 (:REWRITE SUBSETP-MEMBER . 4))
 (14 14 (:REWRITE SUBSETP-MEMBER . 3))
 (14 14 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (14 7 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (14 3 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (14 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12 12 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 6 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (11 2 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (10 10 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (10 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (10 1 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE))
 (8 8 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (8 8 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (7 7 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7 7 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7 7 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (7 7 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (7 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (7 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (7 1 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
 (6 3 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-4))
 (5 5 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (3 3 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (3 1 (:REWRITE ABS-FS-P-OF-REMOVE))
 (3 1 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1 1 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (1 1 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-31
 (2607 75 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2463 36 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2322 66 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (2131 27 (:REWRITE REMOVE-WHEN-ABSENT))
 (1710 9 (:DEFINITION REMOVE-EQUAL))
 (1570 26 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1517 10 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-17))
 (1503 12 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (728 728 (:TYPE-PRESCRIPTION STRIP-CARS))
 (658 15 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (594 22 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (579 32 (:DEFINITION ASSOC-EQUAL))
 (487 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (477 114 (:REWRITE DEFAULT-CDR))
 (448 57 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (280 153 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (274 4 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (265 2 (:REWRITE SUBSETP-OF-REMOVE1))
 (262 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-108 . 1))
 (262 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (261 87 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (261 2 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (255 85 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (250 4 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (219 66 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (215 176 (:REWRITE DEFAULT-CAR))
 (211 51 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (179 87 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (175 61 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (169 54 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (168 54 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (157 54 (:REWRITE SUBSETP-TRANS2))
 (153 153 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (132 132 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (120 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (114 114 (:TYPE-PRESCRIPTION ABS-FS-P))
 (114 6 (:REWRITE ZP-OPEN))
 (113 7 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (104 26 (:REWRITE MEMBER-WHEN-ATOM))
 (91 91 (:REWRITE CONSP-OF-STRIP-CARS))
 (88 72 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (87 9 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (85 85 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (84 84 (:TYPE-PRESCRIPTION HONS-ASSOC-EQUAL))
 (84 21 (:DEFINITION STRIP-CARS))
 (82 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (78 78 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (76 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (68 4 (:REWRITE NFIX-WHEN-NATP))
 (64 64 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (64 4 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (62 4 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (59 59 (:TYPE-PRESCRIPTION NATP))
 (59 3 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (57 57 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (56 4 (:REWRITE NFIX-WHEN-ZP))
 (56 4 (:DEFINITION HONS-ASSOC-EQUAL))
 (52 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (51 51 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (48 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (45 45 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (44 4 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (42 14 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (42 4 (:REWRITE MEMBER-OF-STRIP-CARS))
 (42 3 (:REWRITE ABS-ADDRS-WHEN-ABSFAT-EQUIV-LEMMA-1))
 (39 39 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (38 9 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (32 24 (:REWRITE DEFAULT-<-2))
 (28 7 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (28 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (28 4 (:DEFINITION NATP))
 (26 26 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (26 26 (:REWRITE INTERSECTP-MEMBER . 3))
 (26 26 (:REWRITE INTERSECTP-MEMBER . 2))
 (26 26 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (25 5 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (24 24 (:REWRITE DEFAULT-<-1))
 (24 4 (:REWRITE NATP-OF-CDR-OF-HONS-ASSOC-EQUAL-WHEN-FD-TABLE-P))
 (24 3 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 1))
 (24 2 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (22 22 (:REWRITE SUBSETP-MEMBER . 4))
 (22 22 (:REWRITE SUBSETP-MEMBER . 3))
 (22 22 (:REWRITE SUBSETP-MEMBER . 2))
 (22 22 (:REWRITE SUBSETP-MEMBER . 1))
 (21 3 (:REWRITE ABSFAT-SUBSETP-REFLEXIVITY))
 (20 4 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (20 4 (:DEFINITION NFIX))
 (19 7 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (18 18 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (18 18 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (18 18 (:REWRITE ABS-ADDRS-OF-CTX-APP-LIST))
 (18 6 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (17 5 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (16 4 (:DEFINITION HONS-EQUAL))
 (15 15 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (14 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (13 13 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 4 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (11 11 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (11 11 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (11 11 (:REWRITE 1ST-COMPLETE-CORRECTNESS-2 . 2))
 (10 10 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (10 10 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (10 5 (:REWRITE SET-EQUIV-ASYM))
 (9 9 (:TYPE-PRESCRIPTION SET-EQUIV))
 (9 9 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (9 9 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (9 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (8 8 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (6 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (6 3 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (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 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (4 4 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (4 4 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION ABSFAT-SUBSETP))
 (3 3 (:REWRITE SUBSETP-OF-CDR))
 (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 3 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (3 3 (:REWRITE ABS-NO-DUPS-P-OF-FRAME-VAL->DIR))
 (2 2 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (2 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-36
 (429754 10 (:DEFINITION ABS-FIND-FILE-SRC))
 (404572 280 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (403240 6820 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (377132 20 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (376762 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (375212 6860 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (368180 190 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (365842 3680 (:REWRITE LEN-WHEN-PREFIXP))
 (307907 4571 (:DEFINITION LEN))
 (307320 4070 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (306522 4050 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (261540 6820 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (254822 4070 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (228963 5793 (:REWRITE DEFAULT-CDR))
 (205886 6880 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (179288 3680 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (93280 4050 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (79588 3680 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (68272 3680 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (49742 16812 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (36144 36144 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (27910 27910 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (25218 8406 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (25218 8406 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (21780 4920 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (20920 10 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (20857 11 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (20580 20580 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (16812 16812 (:LINEAR LEN-WHEN-PREFIXP))
 (14810 6820 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (14160 14160 (:TYPE-PRESCRIPTION PREFIXP))
 (11910 6820 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (10340 10340 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (9218 2072 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (9187 4594 (:REWRITE DEFAULT-+-2))
 (9130 840 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (8950 4050 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (8406 8406 (:LINEAR POSITION-WHEN-MEMBER))
 (8406 8406 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (7320 390 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (7197 3882 (:REWRITE DEFAULT-<-2))
 (7140 3882 (:REWRITE DEFAULT-<-1))
 (6840 6840 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (6690 6690 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (4650 4650 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (4616 4594 (:REWRITE DEFAULT-+-1))
 (4600 2220 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4200 2100 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4070 4070 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (4070 4070 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (4070 4070 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (4070 4070 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (4070 4070 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3980 30 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-19))
 (3780 1260 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (3060 950 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2694 1584 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2694 1584 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2170 31 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (1820 1820 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (1630 280 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1584 1584 (:REWRITE SUBSETP-TRANS2))
 (1584 1584 (:REWRITE SUBSETP-TRANS))
 (1403 1285 (:REWRITE DEFAULT-CAR))
 (1360 280 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1333 31 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (1330 20 (:REWRITE LEN-OF-NTHCDR))
 (1286 62 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (1254 316 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (1020 470 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (998 20 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (899 31 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (882 294 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (854 854 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (850 850 (:REWRITE CONSP-OF-LIST-FIX))
 (790 20 (:DEFINITION NATP))
 (752 155 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (704 20 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (660 5 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (625 45 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (622 30 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (620 620 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (608 110 (:DEFINITION STRIP-CARS))
 (589 589 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (578 57 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (540 540 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (540 540 (:TYPE-PRESCRIPTION D-E-P))
 (540 540 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (540 270 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (510 213 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (504 62 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (496 62 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (456 20 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (442 62 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (376 20 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (372 372 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (372 62 (:REWRITE ZP-OPEN))
 (328 328 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (310 310 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (310 310 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (288 80 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (285 30 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (280 280 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (280 140 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (270 270 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (270 270 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (270 270 (:REWRITE SET::IN-SET))
 (250 30 (:DEFINITION NFIX))
 (248 248 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (244 30 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (229 20 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (228 20 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (210 20 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (189 3 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12))
 (186 62 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (150 30 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (148 20 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (140 30 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (130 10 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (124 124 (:TYPE-PRESCRIPTION ZP))
 (120 50 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (113 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (110 20 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (110 20 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (104 10 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (90 90 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (90 30 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (81 45 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (81 13 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (81 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (80 80 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (80 80 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (80 20 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (80 20 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (80 20 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (78 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (78 11 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (75 25 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (74 60 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (72 6 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (70 70 (:TYPE-PRESCRIPTION ABS-FS-P))
 (60 60 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (60 60 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (60 30 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (60 25 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (60 20 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (60 10 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (60 10 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (60 10 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (60 10 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (60 10 (:REWRITE FAT32-FILENAME-LIST-P-OF-NTHCDR))
 (56 4 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (52 52 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (52 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (51 51 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (50 50 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (45 5 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 (42 25 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (42 21 (:REWRITE DEFAULT-UNARY-MINUS))
 (40 40 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (40 40 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (40 20 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (39 39 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (38 13 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (32 8 (:REWRITE GOOD-FRAME-P-OF-ABS-PWRIT1))
 (32 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (30 30 (:TYPE-PRESCRIPTION ADDRS-AT))
 (25 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (20 20 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (20 20 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (20 20 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (20 10 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (20 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (17 17 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (17 17 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (17 17 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (16 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (13 13 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:TYPE-PRESCRIPTION NFIX))
 (12 12 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (12 12 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (12 6 (:REWRITE DEFAULT-*-2))
 (10 10 (:TYPE-PRESCRIPTION DIRNAME))
 (10 10 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (10 10 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (10 10 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (10 10 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (10 10 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (10 10 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (10 10 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (10 5 (:REWRITE CONSP-OF-DIRNAME))
 (8 8 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (8 8 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (8 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (6 6 (:REWRITE DEFAULT-*-1))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (1 1 (:REWRITE STR::COERCE-TO-STRING-REMOVAL))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-37
 (601686 14 (:DEFINITION ABS-FIND-FILE-SRC))
 (566428 392 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (564548 9548 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (527992 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (527474 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (525316 9604 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (515565 271 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (512198 5152 (:REWRITE LEN-WHEN-PREFIXP))
 (431238 6409 (:DEFINITION LEN))
 (430260 5698 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (429150 5670 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (366156 9548 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (356762 5698 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (320592 8109 (:REWRITE DEFAULT-CDR))
 (288262 9632 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (251008 5152 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (130592 5670 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (111424 5152 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (95588 5152 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (69650 23548 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (50636 50636 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (39074 39074 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (35322 11774 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (35322 11774 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (30484 6880 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (29296 14 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (28812 28812 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (23548 23548 (:LINEAR LEN-WHEN-PREFIXP))
 (20734 9548 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (19824 19824 (:TYPE-PRESCRIPTION PREFIXP))
 (16674 9548 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (14496 14496 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (12939 6476 (:REWRITE DEFAULT-+-2))
 (12890 2896 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (12782 1176 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (12530 5670 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (11774 11774 (:LINEAR POSITION-WHEN-MEMBER))
 (11774 11774 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (10248 546 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (10098 5451 (:REWRITE DEFAULT-<-2))
 (10022 5451 (:REWRITE DEFAULT-<-1))
 (9576 9576 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (9366 9366 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (6532 6476 (:REWRITE DEFAULT-+-1))
 (6510 6510 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (6436 3104 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5880 2940 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5698 5698 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (5698 5698 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (5698 5698 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (5698 5698 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (5698 5698 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (5502 42 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-19))
 (5310 1770 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (4284 1330 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (3770 2216 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3770 2216 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3004 43 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (2548 2548 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (2282 392 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (2216 2216 (:REWRITE SUBSETP-TRANS2))
 (2216 2216 (:REWRITE SUBSETP-TRANS))
 (1904 392 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1859 1732 (:REWRITE DEFAULT-CAR))
 (1843 43 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (1778 86 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (1748 450 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (1428 658 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1402 28 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (1247 43 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (1198 1198 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (1190 1190 (:REWRITE CONSP-OF-LIST-FIX))
 (1054 219 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (924 7 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (874 42 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (860 860 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (852 24 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (817 817 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (809 57 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (798 79 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (756 756 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (756 756 (:TYPE-PRESCRIPTION D-E-P))
 (756 756 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (756 378 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (720 132 (:DEFINITION STRIP-CARS))
 (696 86 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (688 86 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (678 281 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (640 28 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (610 86 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (525 87 (:REWRITE ZP-OPEN))
 (516 516 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (476 39 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (464 464 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (456 24 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (438 438 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (430 430 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (408 112 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (392 392 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (392 196 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (391 42 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (378 378 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (378 378 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (378 378 (:REWRITE SET::IN-SET))
 (344 344 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (344 42 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (294 28 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (276 24 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (264 1 (:DEFINITION TAKE))
 (258 86 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (210 42 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (196 42 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (189 3 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12))
 (182 14 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (180 24 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (168 70 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (165 27 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (154 28 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (154 28 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (144 14 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (136 2 (:REWRITE TAKE-OF-LEN-FREE))
 (126 42 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (120 16 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (114 114 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (113 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (112 112 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (112 112 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (112 28 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (112 28 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (112 28 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (105 57 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (93 17 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (90 72 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (87 29 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (86 86 (:TYPE-PRESCRIPTION ABS-FS-P))
 (84 84 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (84 42 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (84 28 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (84 14 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (84 14 (:REWRITE NATP-OF-CAAR-WHEN-FILE-TABLE-P))
 (84 14 (:REWRITE NATP-OF-CAAR-WHEN-FD-TABLE-P))
 (84 14 (:REWRITE NATP-OF-CAAR-WHEN-DIR-STREAM-TABLE-P))
 (84 14 (:REWRITE FAT32-FILENAME-LIST-P-OF-NTHCDR))
 (81 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (77 39 (:REWRITE DEFAULT-UNARY-MINUS))
 (72 72 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (72 72 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (72 29 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (72 6 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (70 70 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (65 36 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (64 1 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (63 7 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 (56 4 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (55 2 (:REWRITE TAKE-WHEN-ATOM))
 (52 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (48 48 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (48 48 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (48 24 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (46 17 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (45 45 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (42 42 (:TYPE-PRESCRIPTION ADDRS-AT))
 (32 8 (:REWRITE GOOD-FRAME-P-OF-ABS-PWRIT1))
 (32 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (29 29 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (29 29 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (29 29 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (29 29 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (28 28 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (28 28 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (28 28 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (28 14 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (27 27 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (25 25 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (20 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (16 16 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (16 8 (:REWRITE DEFAULT-*-2))
 (16 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (14 14 (:TYPE-PRESCRIPTION DIRNAME))
 (14 14 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (14 14 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (14 14 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (14 14 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (14 14 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (14 14 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (14 14 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (14 7 (:REWRITE CONSP-OF-DIRNAME))
 (8 8 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (8 8 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (8 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (8 8 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (8 8 (:REWRITE DEFAULT-*-1))
 (8 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (7 7 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (6 6 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (1 1 (:TYPE-PRESCRIPTION LENGTH))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-45
 (408 12 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (385 277 (:REWRITE DEFAULT-CAR))
 (360 60 (:DEFINITION STRIP-CARS))
 (225 153 (:REWRITE DEFAULT-CDR))
 (216 12 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (160 14 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (156 78 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (132 12 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (84 12 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (72 6 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (52 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (48 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (42 14 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (32 28 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (30 14 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-FS-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (28 28 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (24 24 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 24 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (24 12 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (20 14 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (20 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (16 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (13 13 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (12 12 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (1 1 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-46
 (272 8 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (256 177 (:REWRITE DEFAULT-CAR))
 (216 36 (:DEFINITION STRIP-CARS))
 (144 8 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (140 92 (:REWRITE DEFAULT-CDR))
 (116 10 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (88 8 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (70 4 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (56 8 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (52 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (32 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (30 30 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (30 10 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (24 20 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (22 10 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (20 20 (:TYPE-PRESCRIPTION ABS-FS-P))
 (20 20 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (20 20 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (16 16 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (16 10 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (16 8 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (16 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (14 4 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (10 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (8 8 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (8 8 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (4 4 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-47
 (408 12 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (385 267 (:REWRITE DEFAULT-CAR))
 (324 54 (:DEFINITION STRIP-CARS))
 (310 152 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (216 139 (:REWRITE DEFAULT-CDR))
 (216 12 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (160 14 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (132 12 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (84 12 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (72 6 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (52 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (48 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (42 14 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (32 28 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (30 14 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-FS-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (28 28 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (24 24 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (24 12 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (21 21 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (20 14 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (20 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (16 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (12 12 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (12 12 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (6 6 (:TYPE-PRESCRIPTION ABS-OPEN-CORRECTNESS-1 . 1))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-49
 (408 12 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (386 278 (:REWRITE DEFAULT-CAR))
 (360 60 (:DEFINITION STRIP-CARS))
 (228 156 (:REWRITE DEFAULT-CDR))
 (216 12 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (160 14 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (156 78 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (132 12 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (84 12 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (72 6 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (52 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (48 12 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (42 14 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (32 28 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (30 14 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-FS-P))
 (28 28 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (28 28 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (24 24 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 24 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (24 12 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (20 14 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (20 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (16 6 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (14 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (13 13 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (12 12 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (1 1 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-55
 (99669 3 (:DEFINITION ABS-FIND-FILE-SRC))
 (92244 36 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (92205 1644 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (89589 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (89460 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (82611 90 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (79227 1644 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (75504 759 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (74193 774 (:REWRITE LEN-WHEN-PREFIXP))
 (72891 1656 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (71628 609 (:DEFINITION LEN))
 (68127 759 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (60084 759 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (55489 1553 (:REWRITE DEFAULT-CDR))
 (42009 1644 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (37914 774 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (34635 774 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (18615 774 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (17907 759 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (9156 1644 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (7494 2814 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7104 7104 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6321 6321 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (5656 5656 (:TYPE-PRESCRIPTION DIRNAME))
 (5656 5656 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (5656 5656 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (5052 1644 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (4644 135 (:REWRITE LEN-OF-DIRNAME))
 (4194 1398 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4194 1398 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3750 759 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (3507 3507 (:TYPE-PRESCRIPTION PREFIXP))
 (2911 2911 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (2832 2832 (:LINEAR LEN-WHEN-PREFIXP))
 (2808 90 (:DEFINITION NATP))
 (2268 756 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2145 849 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2038 1078 (:REWRITE DEFAULT-<-1))
 (1852 1078 (:REWRITE DEFAULT-<-2))
 (1764 18 (:REWRITE LEN-OF-NTHCDR))
 (1644 1644 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (1596 780 (:REWRITE DEFAULT-+-2))
 (1446 384 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1398 1398 (:LINEAR POSITION-WHEN-MEMBER))
 (1398 1398 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1245 174 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (1080 135 (:DEFINITION NFIX))
 (1028 9 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-19))
 (946 473 (:REWRITE CONSP-OF-DIRNAME))
 (882 882 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (861 269 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (852 780 (:REWRITE DEFAULT-+-1))
 (784 484 (:REWRITE DEFAULT-CAR))
 (759 759 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (759 759 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (759 759 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (759 759 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (759 759 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (729 81 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (684 126 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (650 14 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (642 642 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (630 126 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (492 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (428 14 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (412 73 (:DEFINITION STRIP-CARS))
 (330 330 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (330 28 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (312 14 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (308 91 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (303 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (285 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (252 16 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (218 102 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (207 3 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (206 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (203 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (192 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-NTHCDR))
 (177 9 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (176 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (166 83 (:REWRITE SET-EQUIV-ASYM))
 (135 135 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (132 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (129 15 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (129 3 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (126 18 (:REWRITE COMMUTATIVITY-OF-+))
 (118 9 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (112 14 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (106 14 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (98 16 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (92 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (92 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (90 14 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (85 85 (:TYPE-PRESCRIPTION SET-EQUIV))
 (84 84 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (84 84 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (84 14 (:REWRITE ZP-OPEN))
 (83 83 (:REWRITE SUBSETP-OF-CDR))
 (81 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (80 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (73 73 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (72 72 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (72 24 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (72 6 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (71 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (66 9 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (65 9 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (63 9 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (60 30 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (60 24 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (60 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (56 56 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (54 47 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (54 22 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (53 53 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (52 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (51 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (51 6 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (48 36 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (47 47 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (43 28 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION ABS-FS-P))
 (42 14 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (42 9 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (40 2 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (39 3 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (36 18 (:REWRITE DEFAULT-UNARY-MINUS))
 (36 15 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (33 33 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (32 32 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (32 32 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (32 14 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (32 14 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (32 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (30 16 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (28 28 (:TYPE-PRESCRIPTION ZP))
 (28 2 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (28 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (27 27 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (26 26 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (26 6 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (26 2 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12))
 (24 24 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (22 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (22 2 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (22 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (18 18 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (18 9 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (18 6 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (18 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (17 1 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (16 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (16 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (15 15 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (14 14 (:REWRITE SUBSETP-TRANS2))
 (14 14 (:REWRITE SUBSETP-TRANS))
 (14 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 6 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (12 1 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (9 9 (:TYPE-PRESCRIPTION ADDRS-AT))
 (9 3 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (9 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 (8 8 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8 8 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (8 2 (:REWRITE MEMBER-WHEN-ATOM))
 (8 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (8 1 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (6 6 (:TYPE-PRESCRIPTION NFIX))
 (6 6 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 3 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (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-FIND-FILE-SRC))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 1 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (3 3 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (3 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (2 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1 1 (:TYPE-PRESCRIPTION DIST-NAMES))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (1 1 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (1 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-57
 (99669 3 (:DEFINITION ABS-FIND-FILE-SRC))
 (92244 36 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (92205 1644 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (89589 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (89460 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (82611 90 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (79227 1644 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (75504 759 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (74193 774 (:REWRITE LEN-WHEN-PREFIXP))
 (72891 1656 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (71628 609 (:DEFINITION LEN))
 (68127 759 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (60084 759 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (55492 1556 (:REWRITE DEFAULT-CDR))
 (42009 1644 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (37914 774 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (34635 774 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (18615 774 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (17907 759 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (9156 1644 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (7494 2814 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7104 7104 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6321 6321 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (5656 5656 (:TYPE-PRESCRIPTION DIRNAME))
 (5656 5656 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (5656 5656 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (5052 1644 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (4644 135 (:REWRITE LEN-OF-DIRNAME))
 (4194 1398 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4194 1398 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3750 759 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (3507 3507 (:TYPE-PRESCRIPTION PREFIXP))
 (2911 2911 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (2832 2832 (:LINEAR LEN-WHEN-PREFIXP))
 (2808 90 (:DEFINITION NATP))
 (2268 756 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2145 849 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2038 1078 (:REWRITE DEFAULT-<-1))
 (1852 1078 (:REWRITE DEFAULT-<-2))
 (1764 18 (:REWRITE LEN-OF-NTHCDR))
 (1644 1644 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (1596 780 (:REWRITE DEFAULT-+-2))
 (1446 384 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1398 1398 (:LINEAR POSITION-WHEN-MEMBER))
 (1398 1398 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1245 174 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (1080 135 (:DEFINITION NFIX))
 (1028 9 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-19))
 (946 473 (:REWRITE CONSP-OF-DIRNAME))
 (882 882 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (861 269 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (852 780 (:REWRITE DEFAULT-+-1))
 (785 485 (:REWRITE DEFAULT-CAR))
 (759 759 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (759 759 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (759 759 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (759 759 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (759 759 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (729 81 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (684 126 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (650 14 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (642 642 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (630 126 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (492 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (428 14 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (412 73 (:DEFINITION STRIP-CARS))
 (330 330 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (330 28 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (312 14 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (308 91 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (303 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (285 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (252 16 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (218 102 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (207 3 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (206 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (203 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (192 12 (:REWRITE FAT32-FILENAME-LIST-P-OF-NTHCDR))
 (177 9 (:REWRITE ABS-COMPLETE-WHEN-ATOM-ABS-ADDRS))
 (176 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (166 83 (:REWRITE SET-EQUIV-ASYM))
 (135 135 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (132 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (129 15 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (129 3 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (126 18 (:REWRITE COMMUTATIVITY-OF-+))
 (118 9 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (112 14 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (106 14 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (98 16 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (92 8 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (92 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (90 14 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (85 85 (:TYPE-PRESCRIPTION SET-EQUIV))
 (84 84 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (84 84 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (84 14 (:REWRITE ZP-OPEN))
 (83 83 (:REWRITE SUBSETP-OF-CDR))
 (81 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (80 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (73 73 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (72 72 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (72 24 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (72 6 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (71 5 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (66 9 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (65 9 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (63 9 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (60 30 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (60 24 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (60 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (56 56 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (54 47 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (54 22 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (53 53 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (52 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (51 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (51 6 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (48 36 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (47 47 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (43 28 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION ABS-FS-P))
 (42 14 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (42 9 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (40 2 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (39 3 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (36 18 (:REWRITE DEFAULT-UNARY-MINUS))
 (36 15 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (33 33 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (32 32 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (32 32 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (32 14 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (32 14 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (32 2 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (30 16 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (28 28 (:TYPE-PRESCRIPTION ZP))
 (28 2 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (28 2 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (27 27 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (26 26 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (26 6 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (26 2 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12))
 (24 24 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (22 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (22 2 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (22 2 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (18 18 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (18 9 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (18 6 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (18 5 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (17 1 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (16 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (16 2 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (15 15 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (14 14 (:REWRITE SUBSETP-TRANS2))
 (14 14 (:REWRITE SUBSETP-TRANS))
 (14 2 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 6 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (12 1 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (10 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (9 9 (:TYPE-PRESCRIPTION ADDRS-AT))
 (9 3 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (9 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 (8 8 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8 8 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (8 2 (:REWRITE MEMBER-WHEN-ATOM))
 (8 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (8 1 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (6 6 (:TYPE-PRESCRIPTION NFIX))
 (6 6 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 6 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (6 3 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (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-FIND-FILE-SRC))
 (4 4 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:REWRITE SUBSETP-MEMBER . 2))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 1 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (3 3 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (3 3 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (3 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (3 3 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (3 1 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (3 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (2 2 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (1 1 (:TYPE-PRESCRIPTION DIST-NAMES))
 (1 1 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (1 1 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (1 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-38
 (2036794 18 (:DEFINITION ABS-FIND-FILE-SRC))
 (1985692 576 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1973920 31696 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1942528 36 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (1941862 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (1903132 954 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (1858686 31768 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1769146 17804 (:REWRITE LEN-WHEN-PREFIXP))
 (1546922 21144 (:DEFINITION LEN))
 (1464908 19790 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1460730 19754 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1350080 31680 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1224386 19790 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1136670 26790 (:REWRITE DEFAULT-CDR))
 (1016054 31804 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (888368 17804 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (431604 19754 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (390972 17804 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (305864 17804 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (278552 278552 (:TYPE-PRESCRIPTION LEN))
 (247446 82440 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (175872 175872 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (132410 132410 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (123660 41220 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (123660 41220 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (102804 102804 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (98068 21496 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (82440 82440 (:LINEAR LEN-WHEN-PREFIXP))
 (72898 31680 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (68688 68688 (:TYPE-PRESCRIPTION PREFIXP))
 (57786 31680 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (54928 52 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (54768 16 (:DEFINITION ATOM))
 (48446 4316 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (47516 9512 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (45556 45556 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (43650 19754 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (42536 21268 (:REWRITE DEFAULT-+-2))
 (41520 9468 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (41474 13618 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (41220 41220 (:LINEAR POSITION-WHEN-MEMBER))
 (41220 41220 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (37512 18 (:REWRITE NTHCDR-OF-FAT32-FILENAME-LIST-FIX))
 (37368 18 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (34341 18367 (:REWRITE DEFAULT-<-2))
 (33987 18367 (:REWRITE DEFAULT-<-1))
 (33426 33426 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (32784 1734 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (31732 31732 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (23026 23026 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (22434 22434 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (21376 21268 (:REWRITE DEFAULT-+-1))
 (20200 10100 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (20062 20062 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (19790 19790 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (19790 19790 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (19790 19790 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (19790 19790 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (16488 5496 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (15868 4886 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (12090 6996 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (12090 6996 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8616 8616 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (8214 1384 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (7755 54 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-19))
 (6996 6996 (:REWRITE SUBSETP-TRANS2))
 (6996 6996 (:REWRITE SUBSETP-TRANS))
 (6848 1384 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (5124 2414 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (4266 108 (:REWRITE LEN-OF-NTHCDR))
 (4216 4216 (:REWRITE DEFAULT-CAR))
 (4191 60 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (3938 3938 (:REWRITE CONSP-OF-LIST-FIX))
 (3562 3562 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (3146 3146 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (2820 132 (:DEFINITION ASSOC-EQUAL))
 (2732 2732 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2732 2732 (:TYPE-PRESCRIPTION D-E-P))
 (2732 2732 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2732 1366 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2571 60 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (2502 120 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (2472 2472 (:REWRITE SUBSETP-REFL))
 (2382 794 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (2124 531 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (1741 700 (:REWRITE ABS-PWRIT1-CORRECTNESS-1))
 (1740 60 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
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 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-50
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 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-58
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 (29562 29562 (:TYPE-PRESCRIPTION ADDRS-AT))
 (28845 9759 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (28208 3440 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (27520 2752 (:DEFINITION ALISTP))
 (26144 6880 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (25440 2752 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (25008 25008 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (24768 2064 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-7))
 (23328 90 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (22494 9687 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (22016 5504 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (20640 20640 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (20384 2986 (:REWRITE SUBSETP-CAR-MEMBER))
 (20044 20044 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (20044 20044 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (19708 9854 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (18648 72 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (18560 1376 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (18158 18158 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (18056 4188 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (17888 17888 (:REWRITE CONSP-OF-LIST-FIX))
 (17410 17410 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (17120 2816 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (16928 2816 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (16719 16719 (:TYPE-PRESCRIPTION DIST-NAMES))
 (14111 2869 (:REWRITE NATP-OF-CAAR-WHEN-FRAME-P))
 (13760 13760 (:REWRITE ABS-ADDRS-OF-CTX-APP-LIST))
 (13760 2752 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (13408 3440 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (11264 11264 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT-ST->PATH))
 (11044 5522 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-55))
 (11008 11008 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (10428 10428 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10428 10428 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10428 10428 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (10428 10428 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (10320 10320 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (10320 10320 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (9854 9854 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (9854 9854 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (9824 9824 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (9812 9812 (:TYPE-PRESCRIPTION ABS-FIND-FILE-SRC))
 (9687 9687 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (9040 4912 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (8361 8361 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (7568 3440 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (7114 7114 (:TYPE-PRESCRIPTION NFIX))
 (6880 6880 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (5738 5738 (:REWRITE ABS-FS-P-OF-FRAME-VAL->DIR))
 (5504 5504 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (5504 5504 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (5504 5504 (:TYPE-PRESCRIPTION D-E-P))
 (5504 5504 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (5504 5504 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (5504 2752 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (5485 5485 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (5197 5197 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4909 4909 (:DEFINITION HONS-EQUAL))
 (4828 4828 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (4531 4531 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3503 3503 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (3440 3440 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (3440 3440 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (3064 2235 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3040 3040 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (2869 2869 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME-VAL->DIR))
 (2816 2816 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (2815 2815 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (2815 2815 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (2752 2752 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (2752 2752 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2752 2752 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2752 2752 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2752 2752 (:REWRITE SET::IN-SET))
 (2109 2109 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (2064 2064 (:TYPE-PRESCRIPTION NAMES-AT))
 (1412 1412 (:LINEAR COLLAPSE-HIFAT-PLACE-FILE-LEMMA-90))
 (1376 1376 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (1376 1376 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (1376 1376 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (1296 144 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (1062 252 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (1008 72 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (1008 72 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (792 72 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (720 72 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (688 688 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-42))
 (688 688 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (576 72 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (540 45 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (504 144 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (504 72 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (405 45 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 (344 344 (:REWRITE ABS-LSTAT-REFINEMENT))
 (288 288 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (216 144 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (144 144 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (144 144 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (135 45 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (108 108 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (108 54 (:REWRITE DEFAULT-*-2))
 (54 54 (:REWRITE DEFAULT-*-1))
 (50 50 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (45 45 (:TYPE-PRESCRIPTION STRINGP-OF-IMPLODE))
 (45 45 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (45 45 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (27 27 (:REWRITE-QUOTED-CONSTANT IFIX-UNDER-INT-EQUIV))
 (19 1 (:REWRITE NATP-OF-CDAR-WHEN-FD-TABLE-P))
 (13 2 (:REWRITE FD-TABLE-P-OF-CDR-WHEN-FD-TABLE-P))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-39
 (530 530 (:DEFINITION MV-NTH))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-51
 (530 530 (:DEFINITION MV-NTH))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-59
 (530 530 (:DEFINITION MV-NTH))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-40
 (13538 855 (:DEFINITION LEN))
 (12537 5877 (:REWRITE DEFAULT-CDR))
 (11612 4500 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7329 2086 (:REWRITE DEFAULT-CAR))
 (6698 2021 (:TYPE-PRESCRIPTION CONSP-OF-NONEMPTY-QUEUES-1))
 (5032 36 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (4212 51 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (3966 3642 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (3642 3642 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (2611 16 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-19))
 (2313 36 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2142 1344 (:REWRITE DEFAULT-+-2))
 (2131 16 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (2122 54 (:DEFINITION ASSOC-EQUAL))
 (2021 2021 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (1860 55 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1701 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (1605 15 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1583 11 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1546 1546 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1344 1344 (:REWRITE DEFAULT-+-1))
 (1213 66 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1185 55 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1130 15 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12))
 (1078 7 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (1036 89 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (1017 36 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (1006 55 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (900 72 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (880 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (865 22 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (828 36 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (819 513 (:REWRITE DEFAULT-<-2))
 (800 15 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (798 266 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (798 266 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (768 192 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (762 44 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (723 241 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (704 102 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (702 11 (:REWRITE CONSP-OF-DIRNAME))
 (690 15 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (663 51 (:REWRITE MEMBER-WHEN-ATOM))
 (633 66 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (616 44 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (582 18 (:DEFINITION NAT-EQUIV$INLINE))
 (571 73 (:REWRITE ZP-OPEN))
 (558 22 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (533 513 (:REWRITE DEFAULT-<-1))
 (532 532 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (531 72 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (522 36 (:DEFINITION ALISTP))
 (459 31 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (420 140 (:REWRITE FOLD-CONSTS-IN-+))
 (418 418 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (402 134 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (402 134 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (384 384 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (380 20 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (370 37 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (360 15 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (355 30 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (352 44 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (350 10 (:DEFINITION TRUE-LIST-LISTP))
 (345 345 (:TYPE-PRESCRIPTION STRIP-CARS))
 (325 25 (:REWRITE SUBSETP-CAR-MEMBER))
 (315 72 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (315 15 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (311 61 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (308 44 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (290 22 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (280 20 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (266 266 (:LINEAR POSITION-WHEN-MEMBER))
 (266 266 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (264 264 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (252 9 (:REWRITE CONSP-OF-NTHCDR))
 (225 50 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (225 15 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (205 31 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (205 15 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (198 76 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (192 192 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (192 47 (:REWRITE NFIX-WHEN-ZP))
 (180 180 (:TYPE-PRESCRIPTION ALISTP))
 (180 18 (:REWRITE LEN-OF-DIRNAME))
 (178 178 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (176 176 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (168 22 (:DEFINITION NATP))
 (154 154 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (150 15 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (144 144 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (132 132 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (132 44 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (122 122 (:TYPE-PRESCRIPTION ABS-FS-P))
 (121 47 (:REWRITE NFIX-WHEN-NATP))
 (110 110 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (97 97 (:REWRITE SUBSETP-MEMBER . 2))
 (97 97 (:REWRITE SUBSETP-MEMBER . 1))
 (93 5 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-10))
 (90 15 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (90 15 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (90 15 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (90 15 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (90 15 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (90 10 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (75 75 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (75 15 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (72 72 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (62 62 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (62 31 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (61 61 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (60 60 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (60 60 (:REWRITE CONSP-OF-STRIP-CARS))
 (60 15 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (60 15 (:DEFINITION STRIP-CARS))
 (51 51 (:REWRITE SUBSETP-MEMBER . 4))
 (51 51 (:REWRITE SUBSETP-MEMBER . 3))
 (51 51 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (51 51 (:REWRITE INTERSECTP-MEMBER . 3))
 (51 51 (:REWRITE INTERSECTP-MEMBER . 2))
 (51 51 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (42 42 (:TYPE-PRESCRIPTION D-E-P))
 (42 42 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (40 20 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (36 36 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (31 31 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (31 31 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (31 31 (:REWRITE SET::IN-SET))
 (30 30 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (30 30 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (30 30 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (30 30 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (30 30 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (30 30 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (30 30 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (30 30 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (30 30 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (30 30 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (30 30 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (30 30 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (30 15 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (30 15 (:REWRITE SET-EQUIV-ASYM))
 (30 10 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (24 24 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (22 22 (:TYPE-PRESCRIPTION DIRNAME))
 (20 20 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (20 20 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (20 20 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (20 20 (:REWRITE SUBSETP-TRANS2))
 (20 20 (:REWRITE SUBSETP-TRANS))
 (20 20 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-7))
 (19 19 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (18 18 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (16 16 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (15 15 (:TYPE-PRESCRIPTION SET-EQUIV))
 (15 15 (:REWRITE SUBSETP-OF-CDR))
 (15 15 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (15 15 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (15 15 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (15 15 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (10 10 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (7 7 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (7 7 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 (2 2 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-41
 (2283 1 (:DEFINITION CP-SPEC-3))
 (850 306 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (754 25 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (693 57 (:TYPE-PRESCRIPTION MEMBER-OF-NONEMPTY-QUEUES))
 (594 78 (:REWRITE DEFAULT-CDR))
 (574 55 (:REWRITE DEFAULT-CAR))
 (570 141 (:TYPE-PRESCRIPTION CONSP-OF-NONEMPTY-QUEUES-1))
 (559 4 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (453 13 (:DEFINITION NTH))
 (430 5 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (318 282 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (282 282 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (257 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (235 29 (:DEFINITION LEN))
 (203 1 (:REWRITE NTHCDR-OF-CDR))
 (175 2 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-19))
 (164 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (160 160 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (154 1 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (147 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (143 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (141 141 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (140 7 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (116 5 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (114 3 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (113 4 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (107 1 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (100 8 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (96 3 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (95 4 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (92 4 (:DEFINITION ASSOC-EQUAL))
 (84 28 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (84 28 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (80 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (79 50 (:REWRITE DEFAULT-<-2))
 (73 1 (:REWRITE CONSP-OF-DIRNAME))
 (72 24 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (71 5 (:REWRITE MEMBER-WHEN-ATOM))
 (71 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (68 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (64 16 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (63 12 (:REWRITE ZP-OPEN))
 (61 32 (:REWRITE DEFAULT-+-2))
 (59 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (58 4 (:DEFINITION ALISTP))
 (58 2 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (56 56 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (56 4 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (54 4 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (50 50 (:REWRITE DEFAULT-<-1))
 (46 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (45 3 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (45 1 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-10))
 (38 38 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (38 2 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (37 1 (:DEFINITION NTHCDR))
 (35 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (35 1 (:DEFINITION TRUE-LIST-LISTP))
 (34 7 (:REWRITE NFIX-WHEN-ZP))
 (32 32 (:TYPE-PRESCRIPTION GOOD-FRAME-P))
 (32 32 (:REWRITE DEFAULT-+-1))
 (32 4 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (31 5 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
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 (28 4 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (28 1 (:REWRITE CONSP-OF-NTHCDR))
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 (19 19 (:TYPE-PRESCRIPTION ZP))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (16 16 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (16 6 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (16 1 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
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 (12 4 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (12 4 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
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 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
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 (9 9 (:REWRITE SUBSETP-MEMBER . 1))
 (9 2 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (9 1 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (8 8 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
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 (3 3 (:REWRITE SET::IN-SET))
 (3 1 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LIST-LISTP))
 (2 2 (:TYPE-PRESCRIPTION NAT-LISTP))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (2 2 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (2 2 (:TYPE-PRESCRIPTION DIRNAME))
 (2 2 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (2 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-7))
 (2 1 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE SUBSETP-OF-CDR))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (1 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 )
(GOOD-FRAME-P-OF-ABS-OPENDIR
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 (26296 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (25317 105 (:REWRITE STRIP-CARS-OF-FRAME->FRAME))
 (22778 315 (:REWRITE REMOVE-WHEN-ABSENT))
 (20012 105 (:DEFINITION REMOVE-EQUAL))
 (19832 52 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (14854 256 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (13732 33 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-7))
 (12708 278 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
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 (8569 40 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-PARTIAL-COLLAPSE))
 (7960 58 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
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 (4912 21 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-FAT32-FILENAME-LIST-PREFIXP))
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 (2930 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
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 (2624 1338 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
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 (2016 672 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
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 (1934 1612 (:REWRITE DEFAULT-CAR))
 (1848 24 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (1796 16 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
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 (1097 213 (:DEFINITION STRIP-CARS))
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 (860 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
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 (773 143 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (765 696 (:REWRITE CONSP-OF-STRIP-CARS))
 (750 30 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (704 46 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (608 608 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
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 (588 588 (:TYPE-PRESCRIPTION HONS-ASSOC-EQUAL))
 (583 30 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (566 36 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (563 9 (:REWRITE 1ST-COMPLETE-UNDER-PATH-COULD-FIRE-UP-AT-A-PAINFUL-MOMENT))
 (558 558 (:TYPE-PRESCRIPTION NATP))
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 (534 38 (:REWRITE NFIX-WHEN-NATP))
 (532 532 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (530 530 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (468 468 (:TYPE-PRESCRIPTION ABS-FIND-FILE-SRC))
 (457 457 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (448 78 (:DEFINITION LEN))
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 (417 29 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (414 62 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (406 28 (:DEFINITION HONS-ASSOC-EQUAL))
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 (385 1 (:REWRITE ABS-OPENDIR-CORRECTNESS-LEMMA-5))
 (376 4 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (356 15 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (322 319 (:REWRITE DEFAULT-<-1))
 (320 62 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (314 38 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (314 6 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 2))
 (309 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (300 30 (:DEFINITION ALISTP))
 (297 85 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (294 294 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (286 63 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (268 268 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (256 256 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (256 256 (:REWRITE INTERSECTP-MEMBER . 3))
 (256 256 (:REWRITE INTERSECTP-MEMBER . 2))
 (256 256 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (248 16 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-17))
 (240 60 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (230 230 (:REWRITE SUBSETP-MEMBER . 2))
 (230 230 (:REWRITE SUBSETP-MEMBER . 1))
 (228 55 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (226 226 (:REWRITE SUBSETP-MEMBER . 4))
 (226 226 (:REWRITE SUBSETP-MEMBER . 3))
 (216 216 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (210 28 (:REWRITE NATP-OF-CDR-OF-HONS-ASSOC-EQUAL-WHEN-FD-TABLE-P))
 (210 3 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (208 208 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (204 88 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (196 49 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
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 (186 62 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (184 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (178 178 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (164 86 (:REWRITE DEFAULT-+-2))
 (159 159 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (150 150 (:TYPE-PRESCRIPTION ALISTP))
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 (146 1 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (145 29 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
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 (123 41 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (123 15 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (120 120 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
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 (100 16 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (99 15 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (99 1 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (92 36 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (92 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (88 88 (:REWRITE SUBSETP-TRANS2))
 (88 88 (:REWRITE SUBSETP-TRANS))
 (87 87 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (86 86 (:REWRITE DEFAULT-+-1))
 (82 82 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (78 12 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (75 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (73 3 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
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 (68 16 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (63 63 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (63 63 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (63 63 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (63 15 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
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 (60 60 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (58 58 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (58 58 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (56 56 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (56 56 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (56 8 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
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 (52 52 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (52 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (49 28 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (48 48 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (48 48 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (47 4 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (44 10 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (44 4 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (41 41 (:LINEAR POSITION-WHEN-MEMBER))
 (41 41 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (41 11 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (40 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (36 12 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (36 6 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (32 32 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (32 16 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (31 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (30 21 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (30 6 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (28 28 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (28 28 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (28 28 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (27 27 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (27 19 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (24 24 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
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 (24 12 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (24 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (23 23 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (22 6 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (21 21 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (20 20 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (19 9 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (18 18 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (18 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (18 6 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (17 9 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (17 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION M1-FILE-P))
 (16 16 (:REWRITE ABS-ADDRS-OF-CTX-APP-LIST))
 (16 4 (:REWRITE ABS-OPENDIR-CORRECTNESS-LEMMA-1))
 (15 15 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (15 15 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (15 15 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (15 6 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (14 14 (:TYPE-PRESCRIPTION SET-EQUIV))
 (13 3 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (13 1 (:REWRITE ABS-OPENDIR-CORRECTNESS-LEMMA-3))
 (12 12 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (12 12 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (12 12 (:TYPE-PRESCRIPTION NAMES-AT))
 (12 12 (:TYPE-PRESCRIPTION D-E-P))
 (12 12 (:TYPE-PRESCRIPTION ADDRS-AT))
 (12 12 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (12 12 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (12 6 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (12 4 (:REWRITE COMMUTATIVITY-OF-+))
 (12 2 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (10 10 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P))
 (10 10 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (10 4 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (9 9 (:TYPE-PRESCRIPTION PREFIXP))
 (9 9 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
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 )
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 (54 54 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
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 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT-ST->PATH))
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 (8 8 (:REWRITE SUBSETP-OF-CDR))
 (8 8 (:REWRITE SET::IN-SET))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (8 8 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-102))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (8 4 (:REWRITE DEFAULT-*-2))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (5 5 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (4 4 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (4 4 (:REWRITE DEFAULT-*-1))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (4 4 (:LINEAR COLLAPSE-HIFAT-PLACE-FILE-LEMMA-90))
 (3 1 (:REWRITE FAT-ST-FIX-WHEN-FAT-ST-P))
 (2 2 (:TYPE-PRESCRIPTION NAT-EQUIV$INLINE))
 (2 2 (:TYPE-PRESCRIPTION FAT-ST-P))
 (2 2 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (1 1 (:REWRITE ABS-LSTAT-REFINEMENT))
 )
(GOOD-FRAME-P-OF-ABSFAT-ORACLE-MULTI-STEP
 (9 9 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE DEFAULT-CDR))
 )
(ABS-COMPLETE-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE-WHEN-ZP-OF-1ST-COMPLETE-UNDER-PATH
 (8113 2 (:REWRITE ABS-FILE->CONTENTS-WHEN-M1-FILE-P))
 (8067 5 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 1))
 (8002 5 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (7967 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-228))
 (7732 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (5829 162 (:DEFINITION ASSOC-EQUAL))
 (5380 6 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (5026 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (4066 36 (:DEFINITION GOOD-FRAME-P))
 (3748 78 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (3539 414 (:REWRITE DEFAULT-CDR))
 (2848 57 (:REWRITE ZP-OPEN))
 (2429 16 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (2353 68 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (2221 26 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (2115 10 (:REWRITE STRIP-CARS-OF-FRAME->FRAME))
 (1904 1 (:DEFINITION NTHCDR))
 (1900 10 (:DEFINITION REMOVE-EQUAL))
 (1885 30 (:REWRITE REMOVE-WHEN-ABSENT))
 (1876 4 (:REWRITE NFIX-WHEN-ZP))
 (1815 16 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-19))
 (1764 85 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (1511 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-2))
 (1486 26 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (1465 62 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1454 19 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-108 . 1))
 (1391 43 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1340 3 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-78))
 (1300 78 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (1292 5 (:REWRITE SUBSETP-OF-REMOVE1))
 (1190 78 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (1049 7 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1026 342 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (997 24 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (997 5 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (987 1 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-15))
 (980 1 (:REWRITE CONSP-OF-NTHCDR))
 (925 9 (:REWRITE ABS-FIND-FILE-CORRECTNESS-2))
 (856 342 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (798 43 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (693 9 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12))
 (674 1 (:REWRITE ABS-FIND-FILE-OF-FRAME->FRAME-1))
 (636 606 (:REWRITE DEFAULT-CAR))
 (592 592 (:TYPE-PRESCRIPTION STRIP-CARS))
 (541 37 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (540 20 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (537 533 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (513 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-6))
 (482 4 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE-LEMMA-1))
 (451 73 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (434 73 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (428 2 (:REWRITE MEMBER-OF-FRAME-ADDRS-ROOT))
 (387 5 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (376 8 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (306 18 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (300 100 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (286 68 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (282 170 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (280 20 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (276 11 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-1 . 2))
 (242 2 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-2 . 2))
 (227 85 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (225 57 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (225 9 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (222 75 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (222 74 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (215 1 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-2))
 (204 68 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (196 3 (:REWRITE 1ST-COMPLETE-UNDER-PATH-COULD-FIRE-UP-AT-A-PAINFUL-MOMENT))
 (188 47 (:DEFINITION STRIP-CARS))
 (178 112 (:REWRITE DEFAULT-<-2))
 (170 170 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (170 170 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (169 37 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (158 6 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-NOT-M1-REGULAR-FILE-P))
 (154 154 (:TYPE-PRESCRIPTION ABS-FIND-FILE-SRC))
 (153 10 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (149 149 (:TYPE-PRESCRIPTION ABS-FS-P))
 (148 1 (:REWRITE ABS-MKDIR-GUARD-LEMMA-1))
 (140 140 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (140 10 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (140 4 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-17))
 (139 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (137 24 (:DEFINITION LEN))
 (136 28 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (134 7 (:REWRITE SUBSETP-OF-REMOVE2))
 (133 1 (:REWRITE MEMBER-OF-ABS-TOP-ADDRS))
 (126 42 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (122 5 (:REWRITE 1ST-COMPLETE-UNDER-PATH-OF-PUT-ASSOC-LEMMA-1))
 (117 6 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (113 112 (:REWRITE DEFAULT-<-1))
 (106 106 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (106 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-2 . 2))
 (105 26 (:REWRITE MEMBER-WHEN-ATOM))
 (90 9 (:DEFINITION ALISTP))
 (85 2 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9 . 2))
 (75 75 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (75 2 (:REWRITE ABS-FILE-P-WHEN-ABS-NO-DUPS-FILE-P))
 (75 1 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-3))
 (74 74 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (74 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (74 1 (:REWRITE SUBSETP-OF-ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (73 73 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (72 18 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (71 1 (:REWRITE ABSFAT-PLACE-FILE-CORRECTNESS-LEMMA-1))
 (70 1 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (67 67 (:TYPE-PRESCRIPTION FRAME->ROOT))
 (67 1 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (65 65 (:REWRITE CONSP-OF-STRIP-CARS))
 (64 1 (:REWRITE ABS-FILE-ALIST-P-OF-ABS-FILE->CONTENTS))
 (60 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (60 2 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (59 10 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (58 58 (:TYPE-PRESCRIPTION NATP))
 (57 57 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (55 55 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (54 54 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (54 54 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (52 52 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (51 23 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (50 26 (:REWRITE DEFAULT-+-2))
 (48 48 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (48 23 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (45 9 (:REWRITE SUBSETP-CAR-MEMBER))
 (44 44 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (44 5 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (41 13 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (40 11 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (36 36 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (36 36 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (36 36 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (36 36 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (36 36 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (36 12 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (33 33 (:REWRITE-QUOTED-CONSTANT FRAME-VAL-FIX-UNDER-FRAME-VAL-EQUIV))
 (33 6 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-53))
 (32 32 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (30 10 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (30 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (30 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (28 7 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (27 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-M1-FILE-ALIST-P))
 (26 26 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (26 26 (:REWRITE INTERSECTP-MEMBER . 3))
 (26 26 (:REWRITE INTERSECTP-MEMBER . 2))
 (26 26 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (26 26 (:REWRITE DEFAULT-+-1))
 (25 25 (:REWRITE SUBSETP-MEMBER . 2))
 (25 25 (:REWRITE SUBSETP-MEMBER . 1))
 (24 24 (:REWRITE SUBSETP-MEMBER . 4))
 (24 24 (:REWRITE SUBSETP-MEMBER . 3))
 (24 24 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (23 23 (:REWRITE SUBSETP-TRANS2))
 (23 23 (:REWRITE SUBSETP-TRANS))
 (23 1 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (22 4 (:REWRITE NFIX-WHEN-NATP))
 (21 21 (:TYPE-PRESCRIPTION HONS-ASSOC-EQUAL))
 (20 20 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (20 3 (:REWRITE ABS-FILE-P-WHEN-M1-FILE-P))
 (19 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (18 18 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (18 9 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (18 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-40))
 (17 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (17 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (16 16 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (16 16 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (16 16 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (15 15 (:TYPE-PRESCRIPTION PREFIXP))
 (15 5 (:REWRITE NO-DUPLICATESP-OF-REMOVE))
 (15 4 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (14 2 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 1))
 (14 1 (:DEFINITION HONS-ASSOC-EQUAL))
 (13 13 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (13 10 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (13 1 (:REWRITE ADDRS-AT-WHEN-ABS-COMPLETE))
 (12 12 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER))
 (12 12 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (11 11 (:TYPE-PRESCRIPTION PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-19))
 (11 11 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (11 1 (:REWRITE ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-P))
 (10 10 (:TYPE-PRESCRIPTION DIST-NAMES))
 (10 7 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 5 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (10 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (10 1 (:REWRITE ABS-FILE-FIX-WHEN-ABS-FILE-P))
 (9 9 (:REWRITE FRAME-REPS-FS-CORRECTNESS-1))
 (9 3 (:REWRITE ABS-FS-FIX-WHEN-ABS-FS-P))
 (8 6 (:REWRITE PARTIAL-COLLAPSE-WHEN-ATOM))
 (8 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-69))
 (7 7 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (7 7 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (7 7 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-85))
 (7 7 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (7 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (7 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (7 1 (:DEFINITION NATP))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION ABS-TOP-ADDRS))
 (6 6 (:REWRITE PARTIAL-COLLAPSE-WHEN-PATH-CLEAR-OF-PREFIX))
 (6 6 (:REWRITE ABS-FIND-FILE-HELPER-WHEN-ATOM))
 (6 6 (:REWRITE ABS-FIND-FILE-HELPER-OF-COLLAPSE-LEMMA-2))
 (6 6 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (6 6 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 (6 3 (:TYPE-PRESCRIPTION NULL-ADDRS-AT-WHEN-STRINGP))
 (6 2 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (6 1 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-12))
 (6 1 (:REWRITE NATP-OF-CDR-OF-HONS-ASSOC-EQUAL-WHEN-FD-TABLE-P))
 (6 1 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (5 5 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (5 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (5 1 (:DEFINITION NFIX))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 4 (:REWRITE ABS-FIND-FILE-WHEN-ATOM))
 (4 4 (:REWRITE ABS-ADDRS-OF-CTX-APP-LIST))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (4 1 (:DEFINITION HONS-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION NAMES-AT))
 (3 3 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-FIX$INLINE))
 (3 3 (:TYPE-PRESCRIPTION ADDRS-AT))
 (3 3 (:TYPE-PRESCRIPTION ABS-FILE-P))
 (3 3 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-31))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (3 3 (:REWRITE ABS-FS-P-OF-FRAME->ROOT))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (2 2 (:TYPE-PRESCRIPTION PARTIAL-COLLAPSE))
 (2 2 (:TYPE-PRESCRIPTION NFIX))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION ABS-NO-DUPS-FILE-P))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE SET::IN-SET))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-61))
 (2 2 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (2 2 (:REWRITE ABS-FILE-P-OF-ABS-FIND-FILE))
 (2 2 (:REWRITE ABS-FILE-ALIST-P-OF-FRAME->ROOT))
 (2 1 (:REWRITE PARTIAL-COLLAPSE-CORRECTNESS-LEMMA-2))
 (2 1 (:REWRITE NULL-ADDRS-AT-WHEN-STRINGP))
 (2 1 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (2 1 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 1 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (1 1 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (1 1 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (1 1 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (1 1 (:REWRITE CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-1))
 (1 1 (:REWRITE CONSP-OF-FAT32-FILENAME-LIST-FIX))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-72))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-5))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-42))
 (1 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-41))
 (1 1 (:REWRITE ABS-NO-DUPS-P-OF-ABS-FILE->CONTENTS-OF-ABS-FIND-FILE))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-42
 (13538 855 (:DEFINITION LEN))
 (11953 5734 (:REWRITE DEFAULT-CDR))
 (11220 4092 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7077 1879 (:REWRITE DEFAULT-CAR))
 (6870 2107 (:TYPE-PRESCRIPTION CONSP-OF-NONEMPTY-QUEUES-1))
 (5032 36 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (3924 3600 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (3600 3600 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (3357 36 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (2313 36 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2142 1344 (:REWRITE DEFAULT-+-2))
 (2107 2107 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (1860 55 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1583 11 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1546 1546 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1344 1344 (:REWRITE DEFAULT-+-1))
 (1185 55 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1017 36 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (1006 55 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (963 36 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (900 72 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (828 36 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (798 266 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (798 266 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (723 241 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (716 410 (:REWRITE DEFAULT-<-2))
 (716 104 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (702 11 (:REWRITE CONSP-OF-DIRNAME))
 (603 36 (:REWRITE MEMBER-WHEN-ATOM))
 (603 36 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (582 18 (:DEFINITION NAT-EQUIV$INLINE))
 (558 22 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (532 532 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (531 72 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (522 36 (:DEFINITION ALISTP))
 (459 31 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (430 410 (:REWRITE DEFAULT-<-1))
 (420 140 (:REWRITE FOLD-CONSTS-IN-+))
 (380 20 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (350 10 (:DEFINITION TRUE-LIST-LISTP))
 (315 72 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (290 22 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (266 266 (:LINEAR POSITION-WHEN-MEMBER))
 (266 266 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (261 36 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (252 9 (:REWRITE CONSP-OF-NTHCDR))
 (205 31 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (198 14 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (192 47 (:REWRITE NFIX-WHEN-ZP))
 (180 180 (:TYPE-PRESCRIPTION ALISTP))
 (180 18 (:REWRITE LEN-OF-DIRNAME))
 (156 156 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (144 144 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (131 29 (:REWRITE ZP-OPEN))
 (121 47 (:REWRITE NFIX-WHEN-NATP))
 (108 36 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (93 5 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-10))
 (90 10 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (84 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (72 72 (:TYPE-PRESCRIPTION ABS-FS-P))
 (72 72 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (72 72 (:REWRITE SUBSETP-MEMBER . 2))
 (72 72 (:REWRITE SUBSETP-MEMBER . 1))
 (72 72 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (63 7 (:DEFINITION NATP))
 (62 62 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (62 31 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (56 14 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (42 42 (:TYPE-PRESCRIPTION D-E-P))
 (42 42 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (40 20 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (36 36 (:REWRITE SUBSETP-MEMBER . 4))
 (36 36 (:REWRITE SUBSETP-MEMBER . 3))
 (36 36 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (36 36 (:REWRITE INTERSECTP-MEMBER . 3))
 (36 36 (:REWRITE INTERSECTP-MEMBER . 2))
 (36 36 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (36 36 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (36 36 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (31 31 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (31 31 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (31 31 (:REWRITE SET::IN-SET))
 (30 10 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (28 28 (:TYPE-PRESCRIPTION FRAME->FRAME))
 (23 23 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (22 22 (:TYPE-PRESCRIPTION DIRNAME))
 (20 20 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (20 20 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-7))
 (19 19 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (18 18 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (14 14 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (14 14 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (14 14 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 (12 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (10 10 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (7 7 (:REWRITE GOOD-FRAME-P-OF-ABSFAT-ORACLE-MULTI-STEP))
 (4 4 (:TYPE-PRESCRIPTION PREFIXP))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-60
 (13538 855 (:DEFINITION LEN))
 (12449 5971 (:REWRITE DEFAULT-CDR))
 (11953 4825 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (7670 2445 (:REWRITE DEFAULT-CAR))
 (7400 48 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (6870 2107 (:TYPE-PRESCRIPTION CONSP-OF-NONEMPTY-QUEUES-1))
 (5366 120 (:DEFINITION ASSOC-EQUAL))
 (5032 36 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (4446 54 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (4357 3970 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (4149 9 (:REWRITE 1ST-COMPLETE-OF-PUT-ASSOC-LEMMA-1))
 (3989 54 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12))
 (3970 3970 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (3109 214 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (3024 54 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (2685 146 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (2142 1344 (:REWRITE DEFAULT-+-2))
 (2124 9 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (2107 2107 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (1888 92 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (1860 55 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1838 108 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (1809 9 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (1711 81 (:REWRITE SUBSETP-CAR-MEMBER))
 (1583 11 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1546 1546 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1461 487 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1384 487 (:TYPE-PRESCRIPTION ASSOC-EQUAL-WHEN-FRAME-P))
 (1344 1344 (:REWRITE DEFAULT-+-1))
 (1310 54 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (1197 9 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1185 55 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1105 25 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-19))
 (1060 209 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1044 108 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (1017 36 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (1006 55 (:REWRITE APPEND-NTHCDR-DIRNAME-BASENAME-LEMMA-1 . 3))
 (940 205 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (862 214 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (828 36 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 1))
 (798 266 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (798 266 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (783 41 (:REWRITE ABS-FILE-ALIST-P-OF-CDR))
 (780 458 (:REWRITE DEFAULT-<-2))
 (723 241 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (716 104 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (702 11 (:REWRITE CONSP-OF-DIRNAME))
 (693 9 (:REWRITE MEMBER-OF-STRIP-CARS))
 (692 53 (:DEFINITION ALISTP))
 (675 54 (:REWRITE MEMBER-WHEN-ATOM))
 (667 106 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (606 232 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (582 18 (:DEFINITION NAT-EQUIV$INLINE))
 (558 22 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-175))
 (532 532 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (520 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (513 513 (:TYPE-PRESCRIPTION STRIP-CARS))
 (513 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (487 487 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (481 25 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (478 458 (:REWRITE DEFAULT-<-1))
 (468 27 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (467 92 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (459 31 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (428 428 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (420 140 (:REWRITE FOLD-CONSTS-IN-+))
 (380 20 (:REWRITE TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (376 8 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (375 75 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (374 374 (:TYPE-PRESCRIPTION ABS-FS-P))
 (360 18 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (355 53 (:REWRITE ZP-OPEN))
 (350 10 (:DEFINITION TRUE-LIST-LISTP))
 (349 106 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (341 186 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (333 27 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (320 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (290 22 (:TYPE-PRESCRIPTION ABS-MKDIR-CORRECTNESS-LEMMA-50))
 (270 9 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (266 266 (:LINEAR POSITION-WHEN-MEMBER))
 (266 266 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (265 265 (:TYPE-PRESCRIPTION ALISTP))
 (252 9 (:REWRITE CONSP-OF-NTHCDR))
 (237 156 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (237 156 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (224 16 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (224 14 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (216 8 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (212 212 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (205 205 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (205 31 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (200 8 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (192 47 (:REWRITE NFIX-WHEN-ZP))
 (192 16 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (184 184 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (180 18 (:REWRITE LEN-OF-DIRNAME))
 (175 50 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (168 168 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
 (162 18 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (156 156 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (156 156 (:REWRITE SUBSETP-TRANS2))
 (156 156 (:REWRITE SUBSETP-TRANS))
 (150 150 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (150 150 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (146 146 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (144 9 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 2))
 (140 35 (:DEFINITION STRIP-CARS))
 (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))
 (135 9 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (127 127 (:REWRITE SUBSETP-MEMBER . 2))
 (127 127 (:REWRITE SUBSETP-MEMBER . 1))
 (121 47 (:REWRITE NFIX-WHEN-NATP))
 (108 108 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (108 108 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (99 9 (:REWRITE ABS-NO-DUPS-P-OF-CDR))
 (96 96 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (93 5 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-10))
 (90 10 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (90 9 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-2))
 (84 7 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (81 81 (:REWRITE CONSP-OF-STRIP-CARS))
 (81 18 (:REWRITE ABS-ADDRS-OF-PUT-ASSOC-LEMMA-1))
 (81 9 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (80 16 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (72 72 (:TYPE-PRESCRIPTION HONS-DUPLICATED-MEMBERS-AUX))
 (72 9 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (69 23 (:REWRITE FRAME-P-OF-FRAME->FRAME))
 (68 68 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (64 8 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (63 18 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (63 7 (:DEFINITION NATP))
 (62 62 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (62 31 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (58 58 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (54 54 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (54 54 (:TYPE-PRESCRIPTION FRAME-ADDRS-ROOT))
 (54 54 (:TYPE-PRESCRIPTION ABS-NO-DUPS-P))
 (54 54 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (54 54 (:REWRITE INTERSECTP-MEMBER . 3))
 (54 54 (:REWRITE INTERSECTP-MEMBER . 2))
 (54 54 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (54 54 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (48 16 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (48 16 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (45 45 (:REWRITE SUBSETP-MEMBER . 4))
 (45 45 (:REWRITE SUBSETP-MEMBER . 3))
 (45 18 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (42 42 (:TYPE-PRESCRIPTION D-E-P))
 (42 42 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (40 40 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
 (40 20 (:REWRITE TRUE-LIST-LISTP-WHEN-NOT-CONSP))
 (36 36 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (36 36 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (36 18 (:REWRITE SET-EQUIV-ASYM))
 (34 34 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (32 32 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (32 8 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (31 31 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (31 31 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (31 31 (:REWRITE SET::IN-SET))
 (30 10 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (27 27 (:REWRITE SUBSETP-OF-CDR))
 (27 18 (:REWRITE ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (27 9 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
 (25 25 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (24 24 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (24 8 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (24 8 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (23 23 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (22 22 (:TYPE-PRESCRIPTION DIRNAME))
 (20 20 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (20 20 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-7))
 (19 19 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (18 18 (:TYPE-PRESCRIPTION SET-EQUIV))
 (18 18 (:REWRITE NFIX-UNDER-NAT-EQUIV))
 (16 16 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (16 16 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (10 10 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (8 8 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (8 8 (:TYPE-PRESCRIPTION DIST-NAMES))
 (8 8 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (8 8 (:REWRITE SUBSETP-REFL))
 (7 7 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (7 7 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 (2 2 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 )
(CP-SPEC-5)
(INDUCTION-SCHEME
 (23914 217 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (13675 49 (:REWRITE MEMBER-OF-NONEMPTY-QUEUES . 2))
 (10293 511 (:REWRITE DEFAULT-CDR))
 (9164 88 (:REWRITE DEFAULT-CAR))
 (9030 634 (:REWRITE DEFAULT-<-1))
 (8544 88 (:REWRITE ZP-OPEN))
 (8034 180 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (6526 40 (:REWRITE MEMBER-OF-ABS-ADDRS-WHEN-NATP . 2))
 (5555 138 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3542 634 (:REWRITE DEFAULT-<-2))
 (2911 128 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (1258 568 (:REWRITE DEFAULT-+-2))
 (1190 238 (:LINEAR NTH-WHEN-D-E-P))
 (1103 6 (:DEFINITION UPDATE-NTH))
 (1056 33 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (1000 30 (:REWRITE LEN-OF-FLATTEN-WHEN-D-E-LIST-P))
 (738 738 (:TYPE-PRESCRIPTION D-E-P))
 (738 738 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (683 568 (:REWRITE DEFAULT-+-1))
 (589 19 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (564 188 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (509 109 (:REWRITE NTH-WHEN-D-E-P . 3))
 (431 31 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (323 19 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (320 320 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (312 188 (:REWRITE NTH-WHEN-D-E-P . 2))
 (250 25 (:DEFINITION ALISTP))
 (233 37 (:REWRITE FLATTEN-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))
 (228 38 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (220 24 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (200 50 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (165 15 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (154 154 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (128 128 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (125 125 (:TYPE-PRESCRIPTION ALISTP))
 (120 40 (:REWRITE MEMBER-WHEN-ATOM))
 (105 15 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (100 100 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (88 15 (:REWRITE DEFAULT-UNARY-MINUS))
 (82 82 (:TYPE-PRESCRIPTION ZP))
 (77 77 (:LINEAR POSITION-WHEN-MEMBER))
 (77 77 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (76 19 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (60 24 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (57 19 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (57 19 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (54 6 (:REWRITE D-E-LIST-P-OF-UPDATE-NTH))
 (50 50 (:REWRITE SUBSETP-MEMBER . 2))
 (50 50 (:REWRITE SUBSETP-MEMBER . 1))
 (50 50 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (48 48 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (42 42 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-7))
 (40 40 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (40 40 (:REWRITE INTERSECTP-MEMBER . 3))
 (40 40 (:REWRITE INTERSECTP-MEMBER . 2))
 (40 40 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (38 38 (:TYPE-PRESCRIPTION ABS-FS-P))
 (38 38 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (38 38 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (36 36 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (33 33 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (30 30 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (30 15 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (25 25 (:REWRITE SUBSETP-MEMBER . 4))
 (25 25 (:REWRITE SUBSETP-MEMBER . 3))
 (19 19 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (19 19 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (18 18 (:REWRITE FOLD-CONSTS-IN-+))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (15 15 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (15 15 (:REWRITE SUBSETP-REFL))
 (15 15 (:REWRITE INTERSECTP-MEMBER . 1))
 (15 15 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (10 10 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-10))
 (9 9 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-11))
 (6 1 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-52
 (52837276 312 (:REWRITE ABS-PWRIT1-CORRECTNESS-1))
 (52836800 312 (:REWRITE ABS-PWRITE-CORRECTNESS-1))
 (52836012 312 (:DEFINITION HIFAT-PWRITE))
 (48960884 10608 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-231))
 (44281284 3120 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (44201412 21216 (:REWRITE ABS-DIRECTORY-FILE-P-CORRECTNESS-1))
 (32895192 30888 (:LINEAR PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-9))
 (27541064 101080 (:REWRITE STRIP-CARS-OF-FRAME->FRAME))
 (25963826 1536892 (:REWRITE DEFAULT-CDR))
 (25285104 37752 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
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 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-53
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 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-61
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 (688956 688956 (:TYPE-PRESCRIPTION FILE-TABLE-ELEMENT->FID$INLINE))
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 (324 324 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (324 324 (:REWRITE FAT-ST->ERRNO$INLINE-OF-FAT-ST-FIX-X))
 (324 324 (:REWRITE STR::COERCE-TO-STRING-REMOVAL))
 (304 304 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
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 (228 76 (:REWRITE FRAME-P-OF-CDR-WHEN-FRAME-P))
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 (162 162 (:REWRITE ABS-LSTAT-REFINEMENT))
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 (126 18 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (53 53 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (53 53 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
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 (32 32 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (18 18 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (18 18 (:REWRITE FAT-ST-P-OF-FAT-ST-FIX))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-67
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 (2833 43 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12))
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 (1534 54 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
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 (1130 10 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
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 (1002 65 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (988 286 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (963 9 (:DEFINITION NO-DUPLICATESP-EQUAL))
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 (700 700 (:TYPE-PRESCRIPTION 1ST-COMPLETE))
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 (420 40 (:REWRITE SUBSETP-CAR-MEMBER))
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 (350 50 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (280 50 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
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 (230 230 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
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 (216 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (213 45 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
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 (189 9 (:REWRITE HIFAT-NO-DUPS-P-WHEN-ABS-COMPLETE))
 (185 157 (:REWRITE DEFAULT-<-2))
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 (166 166 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (160 160 (:TYPE-PRESCRIPTION BOOLEANP-OF-COLLAPSE))
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 (146 146 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (143 143 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (136 136 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (136 136 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (135 9 (:REWRITE ABS-NO-DUPS-P-WHEN-M1-FILE-ALIST-P))
 (130 130 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (124 62 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (124 24 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (124 24 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (96 96 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (92 92 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (90 9 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-FRAME-P))
 (84 84 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (84 84 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (83 83 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (82 2 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (80 20 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (76 76 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (74 3 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (72 4 (:REWRITE NFIX-WHEN-ZP))
 (68 6 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (66 66 (:TYPE-PRESCRIPTION NATP))
 (64 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (63 9 (:DEFINITION NATP))
 (62 62 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (57 57 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (56 14 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-64))
 (54 9 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (54 9 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (54 9 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (54 9 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (46 46 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (46 12 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (45 45 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (38 3 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (38 3 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (36 36 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (36 36 (:REWRITE CONSP-OF-STRIP-CARS))
 (36 9 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (36 9 (:REWRITE MEMBER-WHEN-ATOM))
 (36 9 (:DEFINITION STRIP-CARS))
 (28 28 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (27 27 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (26 26 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (26 26 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (26 26 (:REWRITE SUBSETP-TRANS2))
 (26 26 (:REWRITE SUBSETP-TRANS))
 (24 24 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (22 22 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-66))
 (22 4 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (21 21 (:REWRITE SUBSETP-REFL))
 (20 4 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (18 18 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (18 18 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (18 9 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (18 9 (:REWRITE SUBSETP-OF-FRAME-ADDRS-ROOT-STRIP-CARS . 1))
 (18 9 (:REWRITE SET-EQUIV-ASYM))
 (17 17 (:REWRITE SUBSETP-MEMBER . 2))
 (17 17 (:REWRITE SUBSETP-MEMBER . 1))
 (16 1 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-107))
 (15 15 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (12 12 (:TYPE-PRESCRIPTION FRAME-VAL))
 (12 12 (:TYPE-PRESCRIPTION ASSOC-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-1))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (11 11 (:REWRITE SUBSETP-OF-CDR))
 (10 10 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (10 2 (:REWRITE FRAME->FRAME-OF-FRAME-WITH-ROOT))
 (9 9 (:TYPE-PRESCRIPTION SET-EQUIV))
 (9 9 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (9 9 (:REWRITE SUBSETP-MEMBER . 4))
 (9 9 (:REWRITE SUBSETP-MEMBER . 3))
 (9 9 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (9 9 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 3))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 2))
 (9 9 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (9 9 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (9 9 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (9 9 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (8 4 (:REWRITE NFIX-WHEN-NATP))
 (8 2 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (7 7 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (6 3 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION FRAME-VAL-P))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (4 2 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 )
(CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-2
 (4050 1350 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (3397 61 (:DEFINITION ASSOC-EQUAL))
 (2395 31 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-12))
 (2200 12 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1532 6 (:DEFINITION PUT-ASSOC-EQUAL))
 (956 58 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (874 63 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-235))
 (847 112 (:REWRITE DEFAULT-CDR))
 (793 31 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-55))
 (626 36 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (581 25 (:REWRITE CP-WITHOUT-SUBDIRS-HELPER-CORRECTNESS-LEMMA-19))
 (532 42 (:REWRITE ABS-FILE-ALIST-P-CORRECTNESS-1))
 (462 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-97))
 (459 459 (:TYPE-PRESCRIPTION ABS-ADDRS-OF-REMOVE-ASSOC-LEMMA-1))
 (422 2 (:REWRITE EQUAL-OF-FRAME-VAL))
 (421 29 (:REWRITE SUBSETP-CAR-MEMBER))
 (402 15 (:REWRITE FRAME-P-WHEN-NOT-CONSP))
 (338 2 (:REWRITE FRAME-VAL-P-OF-CDR-OF-ASSOC-EQUAL-WHEN-FRAME-P))
 (329 7 (:REWRITE ABS-FIND-FILE-SRC-CORRECTNESS-1))
 (298 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-95))
 (282 8 (:REWRITE ABS-SEPARATE-CORRECTNESS-2))
 (252 25 (:REWRITE ZP-OPEN))
 (234 57 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (229 229 (:REWRITE DEFAULT-CAR))
 (224 1 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 2))
 (224 1 (:REWRITE HIFAT-EQUIV-WHEN-ABSFAT-EQUIV . 1))
 (200 2 (:REWRITE CONSP-OF-ASSOC-OF-FRAME->FRAME))
 (196 25 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-LEMMA-2))
 (196 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-94))
 (196 14 (:REWRITE COLLAPSE-1ST-INDEX-OF-FRAME-VAL->SRC-OF-CDR-OF-ASSOC-LINEAR-LEMMA-2))
 (154 84 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-91))
 (153 36 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (141 47 (:TYPE-PRESCRIPTION CTX-APP-LIST-WHEN-SET-EQUIV-LEMMA-4))
 (136 136 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (130 14 (:LINEAR 1ST-COMPLETE-CORRECTNESS-2))
 (130 1 (:REWRITE ABS-FIND-FILE-AFTER-ABS-MKDIR-LEMMA-5))
 (126 42 (:REWRITE ABS-FS-P-CORRECTNESS-1))
 (117 25 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (110 11 (:DEFINITION ALISTP))
 (106 106 (:TYPE-PRESCRIPTION FRAME-VAL->SRC$INLINE))
 (92 88 (:TYPE-PRESCRIPTION ABS-DIRECTORY-FILE-P-WHEN-M1-FILE-P-LEMMA-1))
 (88 88 (:TYPE-PRESCRIPTION ABS-FILE-ALIST-P))
 (88 22 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (84 84 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (78 14 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-12))
 (75 75 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-24))
 (75 3 (:REWRITE DIST-NAMES-OF-FRAME->ROOT-AND-FRAME->FRAME))
 (72 72 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (72 50 (:REWRITE DEFAULT-<-2))
 (70 34 (:REWRITE ABS-FILE-ALIST-P-WHEN-M1-FILE-ALIST-P))
 (68 68 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (68 68 (:REWRITE ABSFAT-EQUIV-IMPLIES-SET-EQUIV-NAMES-AT-1-LEMMA-1))
 (64 4 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (60 60 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (54 42 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (51 4 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-22 . 2))
 (50 50 (:REWRITE DEFAULT-<-1))
 (50 14 (:LINEAR ABS-SEPARATE-OF-FRAME->FRAME-OF-COLLAPSE-THIS-LEMMA-10))
 (48 2 (:REWRITE ABS-COMPLETE-CORRECTNESS-1))
 (47 47 (:TYPE-PRESCRIPTION NATP))
 (47 47 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (46 46 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (46 46 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (46 46 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (46 46 (:REWRITE SUBSETP-TRANS2))
 (46 46 (:REWRITE SUBSETP-TRANS))
 (46 46 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (46 12 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-37))
 (44 44 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (44 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-41))
 (44 4 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-CONTENTS-P))
 (42 14 (:TYPE-PRESCRIPTION COLLAPSE-HIFAT-PLACE-FILE-LEMMA-63))
 (36 2 (:REWRITE NFIX-WHEN-ZP))
 (34 34 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (34 34 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-58))
 (32 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-3))
 (32 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-2))
 (30 30 (:REWRITE FRAME-P-WHEN-SUBSETP-EQUAL))
 (25 25 (:REWRITE PATH-CLEAR-PARTIAL-COLLAPSE-WHEN-ZP-SRC-LEMMA-18))
 (24 3 (:REWRITE DIST-NAMES-WHEN-PATH-CLEAR))
 (24 2 (:REWRITE ABS-COMPLETE-WHEN-M1-FILE-ALIST-P))
 (24 2 (:REWRITE ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (22 22 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (22 22 (:REWRITE GOOD-FRAME-P-WHEN-FRAME-REPS-FS))
 (20 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-107))
 (18 18 (:REWRITE SUBSETP-MEMBER . 2))
 (18 18 (:REWRITE SUBSETP-MEMBER . 1))
 (15 5 (:REWRITE ABS-SEPARATE-OF-FRAME->FRAME))
 (14 14 (:TYPE-PRESCRIPTION FRAME-VAL->DIR$INLINE))
 (13 13 (:TYPE-PRESCRIPTION ABS-SEPARATE))
 (12 12 (:TYPE-PRESCRIPTION PATH-CLEAR))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE ABS-FILE-ALIST-P-OF-COLLAPSE))
 (12 6 (:TYPE-PRESCRIPTION ABS-ADDRS-WHEN-M1-FILE-ALIST-P))
 (12 3 (:REWRITE PATH-CLEAR-OF-FRAME->FRAME))
 (12 3 (:DEFINITION STRIP-CARS))
 (10 10 (:TYPE-PRESCRIPTION ABS-COMPLETE))
 (10 2 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (9 9 (:REWRITE SUBSETP-REFL))
 (9 3 (:REWRITE ABS-FIND-FILE-CORRECTNESS-LEMMA-12))
 (7 7 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE))
 (7 7 (:TYPE-PRESCRIPTION FRAME-VAL->PATH$INLINE))
 (6 6 (:TYPE-PRESCRIPTION NATP-OF-ABS-FIND-FILE-HELPER))
 (6 6 (:TYPE-PRESCRIPTION FRAME-VAL))
 (6 6 (:TYPE-PRESCRIPTION ABS-ADDRS))
 (6 6 (:REWRITE PATH-CLEAR-WHEN-PREFIXP))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY-LEMMA-6))
 (6 6 (:REWRITE ABSFAT-SUBSETP-TRANSITIVITY))
 (4 4 (:REWRITE FRAME-VAL->SRC-OF-CDR-OF-ASSOC-WHEN-MEMBER-OF-FRAME-ADDRS-BEFORE))
 (4 4 (:REWRITE ABSFAT-EQUIV-IMPLIES-EQUAL-M1-FILE-ALIST-P-OF-ABS-FS-FIX-LEMMA-1 . 2))
 (4 2 (:REWRITE NFIX-WHEN-NATP))
 (4 2 (:REWRITE ABS-COMPLETE-WHEN-STRINGP))
 (3 3 (:TYPE-PRESCRIPTION DIST-NAMES))
 (3 3 (:REWRITE-QUOTED-CONSTANT ABS-FILE-FIX-UNDER-ABS-FILE-EQUIV))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-FRAME-VAL->PATH))
 (2 2 (:REWRITE COLLAPSE-CONGRUENCE-LEMMA-6))
 (1 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-PATH-CLEAR-OF-PREFIX))
 (1 1 (:REWRITE 1ST-COMPLETE-UNDER-PATH-WHEN-ATOM-1))
 )