File: lofat-place-file%40useless-runes.lsp

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acl2 8.6%2Bdfsg-3
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area: main
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sloc: lisp: 17,818,294; java: 125,359; python: 28,122; javascript: 23,458; cpp: 18,851; ansic: 11,569; perl: 7,678; xml: 5,591; sh: 3,978; makefile: 3,840; ruby: 2,633; yacc: 1,126; ml: 763; awk: 295; csh: 233; lex: 197; php: 178; tcl: 49; asm: 23; haskell: 17
file content (7960 lines) | stat: -rw-r--r-- 407,346 bytes
parent folder | download | duplicates (2)
(D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4
 (288 9 (:REWRITE TAKE-OF-LEN-FREE))
 (216 9 (:REWRITE NATS=>CHARS-OF-TAKE))
 (154 22 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (133 5 (:REWRITE DEFAULT-CODE-CHAR))
 (108 108 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (90 18 (:DEFINITION LEN))
 (90 10 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (81 27 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (81 27 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (79 56 (:REWRITE DEFAULT-<-1))
 (70 56 (:REWRITE DEFAULT-<-2))
 (66 22 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (54 54 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (54 4 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (36 18 (:REWRITE DEFAULT-+-2))
 (31 31 (:REWRITE DEFAULT-CAR))
 (28 28 (:REWRITE DEFAULT-CDR))
 (28 10 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (27 27 (:LINEAR POSITION-WHEN-MEMBER))
 (27 27 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (24 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (24 4 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (22 22 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (18 18 (:REWRITE DEFAULT-+-1))
 (18 10 (:REWRITE NTH-WHEN-D-E-P . 3))
 (10 10 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
 (10 10 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (9 9 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (9 9 (:REWRITE TAKE-WHEN-ATOM))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (8 8 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8 2 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (5 5 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-53
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 (680052 122 (:REWRITE SUBSETP-OF-CONS))
 (281184 640 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-83))
 (183058 144444 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (180246 174889 (:REWRITE DEFAULT-CDR))
 (166084 124082 (:REWRITE DEFAULT-+-2))
 (159222 159222 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (156992 153055 (:REWRITE DEFAULT-CAR))
 (148918 124082 (:REWRITE DEFAULT-+-1))
 (105432 2744 (:REWRITE USEFUL-D-E-LIST-P-OF-PLACE-D-E))
 (93035 28433 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (85951 84479 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (83938 522 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (83602 68093 (:REWRITE DEFAULT-<-1))
 (73459 64933 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
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 (67863 7029 (:DEFINITION NFIX))
 (57144 14287 (:REWRITE SUBSETP-CAR-MEMBER))
 (56742 8359 (:REWRITE ASSOCIATIVITY-OF-+))
 (38908 11800 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (36132 36132 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (28229 28157 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (28203 28203 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (27911 27911 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (22031 817 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (19640 3928 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (16116 24 (:REWRITE ANOTHER-LEMMA-ABOUT-MEMBER-INTERSECTP))
 (15950 14836 (:REWRITE DEFAULT-UNARY-MINUS))
 (15307 14287 (:REWRITE MEMBER-WHEN-ATOM))
 (14559 817 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (14287 14287 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (14287 14287 (:REWRITE INTERSECTP-MEMBER . 3))
 (14287 14287 (:REWRITE INTERSECTP-MEMBER . 2))
 (14129 14129 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
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 (13096 13096 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
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 (5536 404 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (4399 1423 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (4240 4240 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
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 (1143 499 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (306 68 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
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 (162 54 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (140 140 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (96 96 (:TYPE-PRESCRIPTION TRUE-LISTP))
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 (85 85 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (30 30 (:REWRITE CONSP-OF-APPEND))
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(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-86
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 (88 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
 (82 2 (:REWRITE MEMBER-EQUAL-OF-HONS-DUPLICATED-MEMBERS-AUX))
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 (62 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
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 (56 4 (:REWRITE ZP-OPEN))
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 (47 1 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (47 1 (:REWRITE DEFAULT-CODE-CHAR))
 (36 6 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (34 1 (:REWRITE TAKE-OF-LEN-FREE))
 (27 21 (:REWRITE DEFAULT-CAR))
 (26 3 (:DEFINITION ASSOC-EQUAL))
 (26 2 (:DEFINITION FIND-D-E))
 (26 1 (:REWRITE NATS=>CHARS-OF-TAKE))
 (24 6 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (21 16 (:REWRITE DEFAULT-<-1))
 (21 15 (:REWRITE DEFAULT-CDR))
 (21 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (20 16 (:REWRITE DEFAULT-<-2))
 (17 1 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (16 4 (:REWRITE MEMBER-WHEN-ATOM))
 (15 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (14 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (14 2 (:DEFINITION LEN))
 (13 3 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (12 12 (:TYPE-PRESCRIPTION NAT-LISTP))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (11 11 (:REWRITE CONSP-OF-STRIP-CARS))
 (10 10 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (10 2 (:REWRITE NFIX-WHEN-NATP))
 (9 9 (:TYPE-PRESCRIPTION D-E-P))
 (9 3 (:REWRITE NTH-WHEN-D-E-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (8 2 (:REWRITE NFIX-WHEN-ZP))
 (6 6 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 2 (:REWRITE NTH-WHEN-D-E-P . 3))
 (6 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-WHEN-HIFAT-NO-DUPS-P))
 (6 2 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (6 2 (:DEFINITION NATP))
 (5 5 (:REWRITE D-E-P-OF-D-E-FIX))
 (4 4 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 2 (:REWRITE DEFAULT-+-2))
 (4 1 (:REWRITE TAKE-WHEN-ATOM))
 (4 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (2 2 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE DEFAULT-+-1))
 (2 1 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (1 1 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE NTH-OF-TAKE))
 (1 1 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 (1 1 (:REWRITE LEN-OF-TAKE))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-57
 (784575 19290 (:REWRITE NFIX-WHEN-ZP))
 (747767 498566 (:REWRITE DEFAULT-+-2))
 (675328 669151 (:REWRITE DEFAULT-CAR))
 (631488 622313 (:REWRITE DEFAULT-CDR))
 (613731 498566 (:REWRITE DEFAULT-+-1))
 (416732 326909 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (362166 362166 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (330910 248759 (:REWRITE DEFAULT-<-1))
 (328487 326909 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
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 (236517 234099 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (169733 169733 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (123528 30438 (:REWRITE SUBSETP-CAR-MEMBER))
 (64558 31714 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (61124 61124 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (60526 60526 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (60498 60498 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (50527 44340 (:REWRITE DEFAULT-UNARY-MINUS))
 (47193 15731 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (33382 16706 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (32214 30438 (:REWRITE MEMBER-WHEN-ATOM))
 (30438 30438 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (30438 30438 (:REWRITE INTERSECTP-MEMBER . 3))
 (30438 30438 (:REWRITE INTERSECTP-MEMBER . 2))
 (30118 4161 (:REWRITE USEFUL-D-E-LIST-P-OF-PLACE-D-E))
 (29890 29890 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (16101 16101 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14790 14790 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10320 19 (:REWRITE SUBSETP-OF-CONS))
 (5516 5516 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (5083 288 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (4394 284 (:DEFINITION LEN))
 (4244 4244 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (3609 1313 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (3439 1255 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (2862 954 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (2758 2758 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (2533 549 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1868 568 (:REWRITE STR::CONSP-OF-EXPLODE))
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 (1322 1322 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1320 330 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1098 318 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1026 1026 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (881 881 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (852 852 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (770 38 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 3))
 (660 660 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (516 516 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (387 129 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (387 129 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (358 358 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 (330 330 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (318 318 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (306 153 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (258 258 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (192 192 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (177 177 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (153 153 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (114 38 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 2))
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 (76 76 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-P))
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 (60 60 (:REWRITE CONSP-OF-APPEND))
 (38 38 (:LINEAR POSITION-WHEN-MEMBER))
 (38 38 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (27 9 (:REWRITE MEMBER-OF-CONS))
 (15 15 (:REWRITE D-E-CC-UNDER-IFF . 2))
 )
(D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-1
 (9021 64 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (5214 606 (:REWRITE ZP-OPEN))
 (2619 1286 (:REWRITE DEFAULT-<-1))
 (2097 1286 (:REWRITE DEFAULT-<-2))
 (1909 22 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (1628 1038 (:REWRITE DEFAULT-+-2))
 (1537 65 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (1370 1038 (:REWRITE DEFAULT-+-1))
 (1104 22 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (1038 22 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (1025 1025 (:TYPE-PRESCRIPTION ZP))
 (703 95 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (640 640 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (504 42 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (408 408 (:TYPE-PRESCRIPTION D-E-P))
 (384 128 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (267 103 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (253 64 (:REWRITE MEMBER-WHEN-ATOM))
 (168 42 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (159 57 (:REWRITE NTH-WHEN-D-E-P . 3))
 (126 126 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (120 70 (:REWRITE NTH-WHEN-D-E-P . 2))
 (108 22 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (85 22 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (84 84 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (84 84 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (84 84 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (64 64 (:REWRITE SUBSETP-MEMBER . 4))
 (64 64 (:REWRITE SUBSETP-MEMBER . 3))
 (64 64 (:REWRITE SUBSETP-MEMBER . 2))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 3))
 (64 64 (:REWRITE INTERSECTP-MEMBER . 2))
 (55 55 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (55 55 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (36 36 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (22 22 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64
 (30 5 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
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 (15 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (12 12 (:REWRITE DEFAULT-<-1))
 (9 3 (:DEFINITION NATP))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:REWRITE ZP-OPEN))
 (4 2 (:REWRITE DEFAULT-CDR))
 (4 2 (:REWRITE DEFAULT-CAR))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-1
 (420 28 (:DEFINITION FIND-D-E))
 (350 17 (:DEFINITION LEN))
 (336 20 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (277 42 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (246 19 (:REWRITE NFIX-WHEN-ZP))
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 (198 49 (:REWRITE DEFAULT-CDR))
 (196 28 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (179 5 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (168 3 (:DEFINITION FREE-INDEX-LISTP))
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 (140 28 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
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 (105 3 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (101 3 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (99 55 (:REWRITE DEFAULT-+-2))
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 (88 8 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (78 55 (:REWRITE DEFAULT-+-1))
 (75 1 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (61 39 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (56 56 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (56 8 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (52 52 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (48 8 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (40 32 (:REWRITE DEFAULT-CAR))
 (40 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (39 13 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (31 5 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (28 28 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (28 28 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
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 (16 16 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (16 8 (:REWRITE FIND-D-E-CORRECTNESS-2))
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 (9 1 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (8 8 (:TYPE-PRESCRIPTION ZP))
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 (5 5 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
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 (4 4 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
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 (3 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (3 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (3 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (2 2 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (2 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (1 1 (:REWRITE NTH-WHEN-D-E-P . 3))
 (1 1 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (1 1 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 )
(LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1
 (45 1 (:REWRITE CANCEL-FLOOR-+))
 (30 1 (:REWRITE FLOOR-ZERO . 4))
 (28 1 (:REWRITE FLOOR-ZERO . 3))
 (26 1 (:LINEAR FLOOR-BOUNDS-3))
 (26 1 (:LINEAR FLOOR-BOUNDS-2))
 (19 19 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-15))
 (19 19 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (19 19 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (19 19 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (19 19 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (19 19 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE-2))
 (19 19 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE-1))
 (19 19 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE-2))
 (19 19 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (19 19 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (18 1 (:DEFINITION LEN))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8 4 (:REWRITE DEFAULT-*-2))
 (8 2 (:REWRITE STR::CONSP-OF-EXPLODE))
 (7 7 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (7 7 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (7 7 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (7 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (7 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (7 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 1 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4 4 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (4 4 (:REWRITE DEFAULT-*-1))
 (4 2 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (4 2 (:REWRITE SIMPLIFY-SUMS-<))
 (4 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (4 2 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (4 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (4 1 (:REWRITE DEFAULT-CDR))
 (3 3 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (3 3 (:REWRITE REDUCE-INTEGERP-+))
 (3 3 (:REWRITE INTEGERP-MINUS-X))
 (3 3 (:REWRITE |(integerp (* c x))|))
 (3 3 (:META META-INTEGERP-CORRECT))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3 2 (:REWRITE DEFAULT-<-2))
 (3 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (2 2 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (2 2 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE |(< (- x) (- y))|))
 (2 1 (:REWRITE FLOOR-ZERO . 2))
 (2 1 (:REWRITE FLOOR-MINUS-WEAK))
 (2 1 (:REWRITE FLOOR-MINUS-2))
 (2 1 (:REWRITE FLOOR-COMPLETION))
 (2 1 (:REWRITE FLOOR-CANCEL-*-WEAK))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-0-<-A+AB))
 (1 1 (:REWRITE SIMPLIFY-SUMS-EQUAL))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-EQUAL))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (1 1 (:REWRITE NORMALIZE-TERMS-SUCH-AS-A/A+B-+-B/A+B))
 (1 1 (:REWRITE NORMALIZE-ADDENDS))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
 (1 1 (:REWRITE |(< 0 (- x))|))
 )
(LOFAT-PLACE-FILE-HELPER
 (242806 3166 (:REWRITE ZP-OPEN))
 (204729 580 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (98926 948 (:REWRITE NFIX-WHEN-ZP))
 (77637 7394 (:REWRITE STR::CONSP-OF-EXPLODE))
 (77048 7648 (:REWRITE DEFAULT-CDR))
 (65331 1098 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (55998 549 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (51917 13520 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (37332 549 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (32050 3704 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (28235 1426 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (26352 549 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-145))
 (22702 10756 (:REWRITE DEFAULT-+-2))
 (19680 9907 (:REWRITE DEFAULT-<-2))
 (18262 9907 (:REWRITE DEFAULT-<-1))
 (16120 1426 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (13161 10756 (:REWRITE DEFAULT-+-1))
 (8316 8316 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (7953 144 (:DEFINITION NATP))
 (6237 2079 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6237 2079 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6015 1601 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (4158 4158 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3142 1196 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (3014 1507 (:REWRITE DEFAULT-*-2))
 (2314 175 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (2079 2079 (:LINEAR POSITION-WHEN-MEMBER))
 (2079 2079 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1507 1507 (:REWRITE DEFAULT-*-1))
 (1378 689 (:REWRITE DEFAULT-UNARY-MINUS))
 (1264 175 (:REWRITE D-E-CC-CORRECTNESS-1))
 (1212 404 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (1212 404 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (1160 580 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (1073 1073 (:REWRITE FOLD-CONSTS-IN-+))
 (910 34 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (584 584 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (549 549 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (549 549 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-1))
 (343 343 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (144 144 (:TYPE-PRESCRIPTION NATP))
 (136 8 (:DEFINITION FIND-D-E))
 (112 4 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (58 6 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (56 8 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (48 6 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (40 8 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (35 13 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (22 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (20 20 (:REWRITE DEFAULT-CAR))
 (18 18 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (16 16 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (9 3 (:REWRITE UPDATE-BPB_SECPERCLUS-CORRECTNESS-2 . 3))
 (8 8 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (6 6 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (6 6 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (4 4 (:REWRITE MEMBER-OF-CAR))
 )
(LOFAT-PLACE-FILE
 (14 14 (:TYPE-PRESCRIPTION LAST))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 )
(COUNT-OF-CLUSTERS-OF-LOFAT-PLACE-FILE
 (48569 2859 (:DEFINITION FIND-D-E))
 (23538 602 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (16021 1580 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (14833 2943 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (9249 3027 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (8523 787 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (6746 3336 (:REWRITE DEFAULT-+-2))
 (6680 6680 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (6396 6396 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (6302 6302 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (6218 5588 (:REWRITE DEFAULT-CDR))
 (5536 5029 (:REWRITE DEFAULT-CAR))
 (5415 1939 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (4848 48 (:REWRITE NTH-OF-NATS=>CHARS))
 (4608 288 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (4386 2802 (:REWRITE DEFAULT-<-2))
 (4139 898 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3928 3928 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3729 833 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3706 84 (:DEFINITION PLACE-D-E))
 (3660 122 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (3503 2802 (:REWRITE DEFAULT-<-1))
 (3358 3336 (:REWRITE DEFAULT-+-1))
 (3312 48 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (3278 3278 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (3147 3147 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (3063 3063 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (2964 2964 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2928 2928 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (2776 944 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (2451 43 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (2448 48 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (2264 22 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (2256 48 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (2256 48 (:REWRITE DEFAULT-CODE-CHAR))
 (2223 741 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2223 741 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2164 2164 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (1986 22 (:DEFINITION FREE-INDEX-LISTP))
 (1930 605 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (1728 288 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (1656 22 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (1632 48 (:REWRITE TAKE-OF-LEN-FREE))
 (1482 1482 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1248 48 (:REWRITE NATS=>CHARS-OF-TAKE))
 (1152 288 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1066 162 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (1041 347 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (996 450 (:REWRITE DEFAULT-*-2))
 (976 76 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (946 284 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (944 944 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (841 160 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-1))
 (741 741 (:LINEAR POSITION-WHEN-MEMBER))
 (741 741 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (732 122 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (640 160 (:REWRITE LOFAT-REGULAR-FILE-P-CORRECTNESS-2))
 (626 44 (:REWRITE NFIX-WHEN-ZP))
 (596 84 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (576 472 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (568 568 (:TYPE-PRESCRIPTION FAT32$C-P))
 (504 44 (:REWRITE NFIX-WHEN-NATP))
 (480 480 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (456 456 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (450 450 (:REWRITE DEFAULT-*-1))
 (432 144 (:REWRITE NTH-WHEN-D-E-P . 2))
 (396 118 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (396 36 (:DEFINITION NATP))
 (396 26 (:REWRITE CONSP-OF-LAST))
 (384 96 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (366 122 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (336 76 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (307 121 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (306 204 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (288 96 (:REWRITE NTH-WHEN-D-E-P . 3))
 (264 264 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (252 84 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (240 240 (:REWRITE D-E-P-OF-D-E-FIX))
 (224 224 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (222 74 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (192 48 (:REWRITE TAKE-WHEN-ATOM))
 (171 47 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (164 36 (:DEFINITION NFIX))
 (150 54 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (140 76 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (111 67 (:TYPE-PRESCRIPTION LAST))
 (110 110 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (108 36 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (108 36 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (104 104 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (96 96 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (88 22 (:REWRITE COMMUTATIVITY-OF-+))
 (84 84 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (84 84 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (82 82 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (78 44 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-81))
 (75 75 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (75 75 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (75 75 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (54 54 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (48 48 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (48 48 (:REWRITE NTH-OF-TAKE))
 (48 48 (:REWRITE LEN-OF-TAKE))
 (36 36 (:TYPE-PRESCRIPTION NATP))
 (18 6 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (18 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-6 . 2))
 )
(LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-2
 (131 3 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (114 6 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (110 9 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (107 3 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (66 2 (:DEFINITION LOFAT-REGULAR-FILE-P))
 (65 61 (:REWRITE DEFAULT-CDR))
 (65 20 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (58 57 (:REWRITE DEFAULT-CAR))
 (30 30 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (30 5 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (20 20 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (15 15 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (15 5 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (14 14 (:TYPE-PRESCRIPTION LOFAT-REGULAR-FILE-P))
 (11 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (11 1 (:DEFINITION LEN))
 (6 1 (:REWRITE LOFAT-FILE-CONTENTS-P-WHEN-STRINGP))
 (5 5 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 2 (:REWRITE DEFAULT-<-1))
 (3 3 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (3 2 (:REWRITE STR::CONSP-OF-EXPLODE))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-8)
(LOFAT-FS-P-OF-LOFAT-PLACE-FILE
 (94877 1394 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (94023 922 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-1))
 (89601 5098 (:DEFINITION FIND-D-E))
 (57689 2749 (:REWRITE NFIX-WHEN-ZP))
 (44147 98 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (41516 44 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (28777 5151 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (25613 13224 (:REWRITE DEFAULT-CDR))
 (23960 392 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (21550 11922 (:REWRITE DEFAULT-+-2))
 (16222 11484 (:REWRITE DEFAULT-<-2))
 (15856 5250 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (15691 11484 (:REWRITE DEFAULT-<-1))
 (15482 52 (:REWRITE COUNT-FREE-CLUSTERS-OF-UPDATE-NTH))
 (15296 11158 (:REWRITE DEFAULT-CAR))
 (14470 11922 (:REWRITE DEFAULT-+-1))
 (13143 127 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (12461 4105 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (12287 1577 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (11404 11404 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (11144 102 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (10859 1119 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (10510 10510 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (10462 1792 (:REWRITE SUBSETP-CAR-MEMBER))
 (10153 2057 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9158 2271 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (8760 8760 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (8087 8087 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (8034 8034 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (7814 2572 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (7284 2428 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (6090 725 (:REWRITE NON-FREE-INDEX-LISTP-OF-D-E-CC))
 (5244 1836 (:REWRITE MEMBER-WHEN-ATOM))
 (5086 1792 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (5042 44 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (4572 1492 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (4220 4220 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3324 36 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (3159 1053 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3159 1053 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3066 88 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (2970 990 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (2424 24 (:REWRITE NTH-OF-NATS=>CHARS))
 (2353 53 (:DEFINITION PLACE-D-E))
 (2207 46 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (2106 2106 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2036 1098 (:REWRITE NTH-WHEN-D-E-P . 2))
 (1923 92 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (1893 92 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (1836 1836 (:REWRITE SUBSETP-MEMBER . 4))
 (1836 1836 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1836 1836 (:REWRITE INTERSECTP-MEMBER . 3))
 (1836 1836 (:REWRITE INTERSECTP-MEMBER . 2))
 (1828 1828 (:REWRITE SUBSETP-MEMBER . 2))
 (1656 24 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (1602 777 (:REWRITE DEFAULT-*-2))
 (1590 202 (:DEFINITION UNSIGNED-BYTE-P))
 (1492 1492 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (1464 1464 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (1401 38 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (1388 202 (:DEFINITION INTEGER-RANGE-P))
 (1224 24 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (1160 116 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 3))
 (1128 24 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (1128 24 (:REWRITE DEFAULT-CODE-CHAR))
 (1125 1125 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1075 546 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1053 1053 (:LINEAR POSITION-WHEN-MEMBER))
 (1053 1053 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1034 38 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (972 108 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-145))
 (922 418 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (901 901 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LISTP))
 (864 144 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (824 88 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (816 24 (:REWRITE TAKE-OF-LEN-FREE))
 (788 392 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (777 777 (:REWRITE DEFAULT-*-1))
 (772 86 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-1))
 (649 48 (:REWRITE CONSP-OF-LAST))
 (626 418 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (624 24 (:REWRITE NATS=>CHARS-OF-TAKE))
 (620 310 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (576 144 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (560 88 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (529 377 (:REWRITE NTH-WHEN-D-E-P . 3))
 (516 516 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (500 28 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (471 168 (:TYPE-PRESCRIPTION MIN))
 (420 60 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (386 386 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (371 53 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (348 116 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 2))
 (348 116 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (348 116 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (322 46 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (250 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (236 32 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (236 2 (:DEFINITION FREE-INDEX-LISTP))
 (235 76 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (195 103 (:TYPE-PRESCRIPTION LAST))
 (162 162 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (159 53 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (136 136 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (129 129 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (120 120 (:REWRITE D-E-P-OF-D-E-FIX))
 (120 44 (:REWRITE INTERSECTP-OF-SELF))
 (104 52 (:REWRITE FAT32-ENTRY-MASK-OF-FAT32-UPDATE-LOWER-28))
 (104 4 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (101 101 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (99 11 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-43))
 (96 24 (:REWRITE TAKE-WHEN-ATOM))
 (91 91 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (68 10 (:DEFINITION NFIX))
 (60 60 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (60 60 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (60 60 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (53 53 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (48 48 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (46 46 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 4))
 (46 46 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (44 44 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 5))
 (42 38 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (36 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-23))
 (32 2 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (24 24 (:REWRITE NTH-OF-TAKE))
 (24 24 (:REWRITE LEN-OF-TAKE))
 (24 4 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (17 17 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (12 2 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (5 5 (:TYPE-PRESCRIPTION FAT32-ENTRY-P))
 (5 5 (:REWRITE MEMBER-OF-FAT32-ENTRY-LIST))
 )
(LOFAT-PLACE-FILE-GUARD-LEMMA-8
 (68 4 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (40 4 (:DEFINITION ALISTP))
 (32 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (20 20 (:TYPE-PRESCRIPTION ALISTP))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (10 10 (:REWRITE DEFAULT-CDR))
 (8 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE DEFAULT-CAR))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(LOFAT-PLACE-FILE-GUARD-LEMMA-7
 (82 6 (:REWRITE DEFAULT-CAR))
 (60 4 (:REWRITE CONSP-OF-LAST))
 (50 5 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (43 12 (:REWRITE DEFAULT-<-1))
 (28 28 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (27 9 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (26 1 (:REWRITE ZP-OPEN))
 (25 2 (:DEFINITION NATP))
 (22 13 (:REWRITE DEFAULT-+-2))
 (22 1 (:DEFINITION BOUNDED-NAT-LISTP))
 (18 12 (:REWRITE DEFAULT-<-2))
 (17 13 (:REWRITE DEFAULT-+-1))
 (15 5 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (14 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 4 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (9 5 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (7 7 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (3 3 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (3 3 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(LEMMA)
(LOFAT-PLACE-FILE
 (42305 878 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (38662 548 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-1))
 (35475 2331 (:DEFINITION FIND-D-E))
 (27263 966 (:REWRITE NFIX-WHEN-ZP))
 (26550 33 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (26326 23 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (22937 378 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-5))
 (19635 2763 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (15242 6824 (:REWRITE DEFAULT-CDR))
 (13893 2547 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (10929 216 (:DEFINITION PLACE-D-E))
 (10229 5775 (:REWRITE DEFAULT-+-2))
 (9258 5218 (:REWRITE DEFAULT-CAR))
 (8795 1377 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (8148 5145 (:REWRITE DEFAULT-<-2))
 (7821 1042 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (6971 5775 (:REWRITE DEFAULT-+-1))
 (6941 73 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (6607 5145 (:REWRITE DEFAULT-<-1))
 (5271 1757 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (5189 1781 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (5166 956 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (5094 5094 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (3946 3946 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (3218 448 (:REWRITE NON-FREE-INDEX-LISTP-OF-D-E-CC))
 (3134 1049 (:REWRITE MEMBER-WHEN-ATOM))
 (3042 1026 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3002 10 (:REWRITE COUNT-FREE-CLUSTERS-OF-UPDATE-NTH))
 (2736 2736 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (2119 2119 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (2016 672 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (2013 18 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (1730 14 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (1727 16 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (1548 1548 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1512 216 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (1218 609 (:REWRITE DEFAULT-*-2))
 (1195 389 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (1168 23 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (1049 1049 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1049 1049 (:REWRITE INTERSECTP-MEMBER . 3))
 (1049 1049 (:REWRITE INTERSECTP-MEMBER . 2))
 (1026 342 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1026 342 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (841 389 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (762 254 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (733 381 (:REWRITE NTH-WHEN-D-E-P . 2))
 (701 296 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (684 684 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (648 216 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (609 609 (:REWRITE DEFAULT-*-1))
 (540 540 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LISTP))
 (437 46 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (377 23 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (323 323 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (314 186 (:REWRITE NTH-WHEN-D-E-P . 3))
 (299 46 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (270 90 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (254 254 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (254 254 (:TYPE-PRESCRIPTION ATOM))
 (241 241 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (240 24 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 3))
 (237 105 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (216 46 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (216 46 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (189 63 (:TYPE-PRESCRIPTION MIN))
 (161 23 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (150 14 (:LINEAR CAR-OF-LAST-WHEN-BOUNDED-NAT-LISTP))
 (146 73 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (140 36 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (136 136 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (132 28 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (132 2 (:DEFINITION BOUNDED-NAT-LISTP))
 (110 46 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (99 33 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (73 73 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (72 24 (:REWRITE UNSIGNED-BYTE-LISTP-WHEN-D-E-P))
 (72 24 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 2))
 (72 24 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (69 69 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (69 23 (:REWRITE INTERSECTP-OF-SELF))
 (60 10 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (56 17 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (47 13 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (30 10 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (28 28 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (27 9 (:REWRITE UPDATE-BPB_SECPERCLUS-CORRECTNESS-2 . 3))
 (24 24 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (23 23 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 5))
 (23 23 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 4))
 (23 23 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (20 20 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (20 10 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (20 10 (:REWRITE FAT32-ENTRY-MASK-OF-FAT32-UPDATE-LOWER-28))
 (18 18 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (16 16 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (16 16 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (16 16 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (10 10 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (10 10 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (10 10 (:REWRITE SET::IN-SET))
 (9 9 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-23))
 (1 1 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 )
(PSEUDO-ROOT-D-E-OF-LOFAT-PLACE-FILE
 (34769 2050 (:DEFINITION FIND-D-E))
 (14650 360 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (10521 2103 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (9258 1136 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (7361 729 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (6574 2156 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (5412 3893 (:REWRITE DEFAULT-CDR))
 (4672 4672 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (4620 4620 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (4414 4414 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (4381 2182 (:REWRITE DEFAULT-+-2))
 (4047 3676 (:REWRITE DEFAULT-CAR))
 (3964 1420 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (3729 113 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (3476 701 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3346 79 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (3030 31 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (2801 1892 (:REWRITE DEFAULT-<-2))
 (2798 2798 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2647 31 (:DEFINITION FREE-INDEX-LISTP))
 (2539 531 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2424 24 (:REWRITE NTH-OF-NATS=>CHARS))
 (2353 53 (:DEFINITION PLACE-D-E))
 (2323 1892 (:REWRITE DEFAULT-<-1))
 (2304 144 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (2268 2268 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2237 2237 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (2213 2182 (:REWRITE DEFAULT-+-1))
 (2184 2184 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (2182 31 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (1910 1910 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1896 600 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (1860 62 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (1701 567 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1701 567 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1656 24 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (1464 1464 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (1230 394 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (1224 24 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (1220 1220 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (1134 1134 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1128 24 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (1128 24 (:REWRITE DEFAULT-CODE-CHAR))
 (870 146 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (816 24 (:REWRITE TAKE-OF-LEN-FREE))
 (807 62 (:REWRITE NFIX-WHEN-ZP))
 (646 62 (:REWRITE NFIX-WHEN-NATP))
 (630 96 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (624 24 (:REWRITE NATS=>CHARS-OF-TAKE))
 (604 278 (:REWRITE DEFAULT-*-2))
 (600 600 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (598 58 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (579 115 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (578 146 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (567 567 (:LINEAR POSITION-WHEN-MEMBER))
 (567 567 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (555 185 (:REWRITE NTH-WHEN-D-E-P . 2))
 (528 158 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (502 48 (:DEFINITION NATP))
 (492 164 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (454 115 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (376 376 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (372 372 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (372 62 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (371 53 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (364 300 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (316 316 (:TYPE-PRESCRIPTION FAT32$C-P))
 (278 278 (:REWRITE DEFAULT-*-1))
 (264 264 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (258 16 (:REWRITE CONSP-OF-LAST))
 (249 75 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (246 164 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (212 48 (:DEFINITION NFIX))
 (204 44 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (192 48 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (186 62 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (180 72 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (175 25 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (159 53 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (155 155 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (149 93 (:TYPE-PRESCRIPTION LAST))
 (144 48 (:REWRITE NTH-WHEN-D-E-P . 3))
 (138 46 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (136 136 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (124 31 (:REWRITE COMMUTATIVITY-OF-+))
 (120 120 (:REWRITE D-E-P-OF-D-E-FIX))
 (114 42 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (113 113 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (96 24 (:REWRITE TAKE-WHEN-ATOM))
 (90 58 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (87 24 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (72 24 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (72 24 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (66 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-81))
 (64 64 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (53 53 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (53 53 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (48 48 (:TYPE-PRESCRIPTION NATP))
 (48 48 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (43 43 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (42 42 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (42 34 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (34 34 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (34 34 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (24 24 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 24 (:REWRITE NTH-OF-TAKE))
 (24 24 (:REWRITE LEN-OF-TAKE))
 (24 8 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (23 23 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (18 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-6 . 2))
 (8 8 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 )
(MAX-ENTRY-COUNT-OF-LOFAT-PLACE-FILE
 (34769 2050 (:DEFINITION FIND-D-E))
 (14650 360 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (10521 2103 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (9258 1136 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (7361 729 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (6574 2156 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (5324 3849 (:REWRITE DEFAULT-CDR))
 (4672 4672 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (4620 4620 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (4414 4414 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (4381 2182 (:REWRITE DEFAULT-+-2))
 (3964 1420 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (3959 3632 (:REWRITE DEFAULT-CAR))
 (3729 113 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (3476 701 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3346 79 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (3030 31 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (2801 1892 (:REWRITE DEFAULT-<-2))
 (2798 2798 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2647 31 (:DEFINITION FREE-INDEX-LISTP))
 (2539 531 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2424 24 (:REWRITE NTH-OF-NATS=>CHARS))
 (2353 53 (:DEFINITION PLACE-D-E))
 (2323 1892 (:REWRITE DEFAULT-<-1))
 (2304 144 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (2268 2268 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2237 2237 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (2213 2182 (:REWRITE DEFAULT-+-1))
 (2184 2184 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (2182 31 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (1910 1910 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1896 600 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (1860 62 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (1701 567 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1701 567 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1656 24 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (1464 1464 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (1230 394 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (1224 24 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (1220 1220 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (1134 1134 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1128 24 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (1128 24 (:REWRITE DEFAULT-CODE-CHAR))
 (870 146 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (816 24 (:REWRITE TAKE-OF-LEN-FREE))
 (807 62 (:REWRITE NFIX-WHEN-ZP))
 (646 62 (:REWRITE NFIX-WHEN-NATP))
 (630 96 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (624 24 (:REWRITE NATS=>CHARS-OF-TAKE))
 (604 278 (:REWRITE DEFAULT-*-2))
 (600 600 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (598 58 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (579 115 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (578 146 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (567 567 (:LINEAR POSITION-WHEN-MEMBER))
 (567 567 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (555 185 (:REWRITE NTH-WHEN-D-E-P . 2))
 (528 158 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (502 48 (:DEFINITION NATP))
 (492 164 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (454 115 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (376 376 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (372 372 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (372 62 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (371 53 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (364 300 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (316 316 (:TYPE-PRESCRIPTION FAT32$C-P))
 (278 278 (:REWRITE DEFAULT-*-1))
 (264 264 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (258 16 (:REWRITE CONSP-OF-LAST))
 (249 75 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (246 164 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (212 48 (:DEFINITION NFIX))
 (204 44 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (192 48 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (186 62 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (180 72 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (175 25 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (159 53 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (155 155 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (149 93 (:TYPE-PRESCRIPTION LAST))
 (144 48 (:REWRITE NTH-WHEN-D-E-P . 3))
 (138 46 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (136 136 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (124 31 (:REWRITE COMMUTATIVITY-OF-+))
 (120 120 (:REWRITE D-E-P-OF-D-E-FIX))
 (114 42 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (113 113 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (96 24 (:REWRITE TAKE-WHEN-ATOM))
 (90 58 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (87 24 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (72 24 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (72 24 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (66 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-81))
 (64 64 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (53 53 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (53 53 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (48 48 (:TYPE-PRESCRIPTION NATP))
 (48 48 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (43 43 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (42 42 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (42 34 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (34 34 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (34 34 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (24 24 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 24 (:REWRITE NTH-OF-TAKE))
 (24 24 (:REWRITE LEN-OF-TAKE))
 (24 8 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (23 23 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (18 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-6 . 2))
 (8 8 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 )
(LOFAT-PLACE-FILE-OF-LOFAT-FILE-FIX
 (43428 2550 (:DEFINITION FIND-D-E))
 (27360 740 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (21016 1551 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (13427 2639 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (8362 2728 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (8098 5927 (:REWRITE DEFAULT-CDR))
 (7993 3955 (:REWRITE DEFAULT-+-2))
 (7272 72 (:REWRITE NTH-OF-NATS=>CHARS))
 (7095 215 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (6912 432 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (6895 172 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (6272 6272 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (6254 61 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (5902 5902 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (5663 3753 (:REWRITE DEFAULT-<-2))
 (5520 5520 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (5511 61 (:DEFINITION FREE-INDEX-LISTP))
 (5101 4365 (:REWRITE DEFAULT-CAR))
 (4968 72 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (4600 3753 (:REWRITE DEFAULT-<-1))
 (4596 61 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (4564 991 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4532 4532 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4444 1516 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (4392 4392 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (4016 3955 (:REWRITE DEFAULT-+-1))
 (3812 89 (:DEFINITION PLACE-D-E))
 (3774 3774 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (3672 72 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (3660 122 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (3580 3580 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3558 758 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3432 1112 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (3399 1133 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3399 1133 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3384 72 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (3384 72 (:REWRITE DEFAULT-CODE-CHAR))
 (2855 2855 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (2766 2766 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (2610 438 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (2448 72 (:REWRITE TAKE-OF-LEN-FREE))
 (2332 2332 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (2266 2266 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2149 642 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (1872 72 (:REWRITE NATS=>CHARS-OF-TAKE))
 (1734 438 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1716 122 (:REWRITE NFIX-WHEN-ZP))
 (1476 224 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (1381 122 (:REWRITE NFIX-WHEN-NATP))
 (1293 431 (:REWRITE NTH-WHEN-D-E-P . 2))
 (1176 126 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (1170 346 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (1133 1133 (:LINEAR POSITION-WHEN-MEMBER))
 (1133 1133 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1117 221 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1112 1112 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (1112 484 (:REWRITE DEFAULT-*-2))
 (1084 99 (:DEFINITION NATP))
 (1050 350 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (866 221 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (732 732 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (732 122 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (692 692 (:TYPE-PRESCRIPTION FAT32$C-P))
 (676 556 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (648 648 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (639 89 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (576 144 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (574 38 (:REWRITE CONSP-OF-LAST))
 (564 564 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (484 484 (:REWRITE DEFAULT-*-1))
 (471 139 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (450 300 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (449 99 (:DEFINITION NFIX))
 (432 144 (:REWRITE NTH-WHEN-D-E-P . 3))
 (408 56 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (390 150 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (384 94 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (366 122 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (360 360 (:REWRITE D-E-P-OF-D-E-FIX))
 (340 212 (:TYPE-PRESCRIPTION LAST))
 (305 305 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (288 72 (:REWRITE TAKE-WHEN-ATOM))
 (267 89 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (256 256 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (246 82 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (244 61 (:REWRITE COMMUTATIVITY-OF-+))
 (222 126 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (222 80 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (215 215 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (192 52 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (144 144 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (120 120 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (118 118 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (108 60 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-81))
 (102 34 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (102 34 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (99 99 (:TYPE-PRESCRIPTION NATP))
 (89 89 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (89 89 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (84 76 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (80 80 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (76 76 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (76 76 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (72 72 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (72 72 (:REWRITE NTH-OF-TAKE))
 (72 72 (:REWRITE LEN-OF-TAKE))
 (50 50 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (45 15 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (27 9 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-6 . 2))
 (15 15 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 )
(LOFAT-FILE-EQUIV-IMPLIES-EQUAL-LOFAT-PLACE-FILE-4
 (45230 2656 (:DEFINITION FIND-D-E))
 (30604 868 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (26366 1629 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (13997 2753 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (11223 1047 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (9696 96 (:REWRITE NTH-OF-NATS=>CHARS))
 (9216 576 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (8984 6557 (:REWRITE DEFAULT-CDR))
 (8849 4363 (:REWRITE DEFAULT-+-2))
 (8744 2850 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (7623 231 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (7609 204 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (6872 69 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (6624 96 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (6596 6596 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (6553 4315 (:REWRITE DEFAULT-<-2))
 (6338 6338 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (6035 69 (:DEFINITION FREE-INDEX-LISTP))
 (5856 5856 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (5703 4697 (:REWRITE DEFAULT-CAR))
 (5544 5544 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (5314 4315 (:REWRITE DEFAULT-<-1))
 (5204 5204 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5000 69 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (4896 96 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (4604 1009 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4512 96 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (4512 96 (:REWRITE DEFAULT-CODE-CHAR))
 (4460 1520 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (4432 4363 (:REWRITE DEFAULT-+-1))
 (4182 4182 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (4140 138 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (4052 97 (:DEFINITION PLACE-D-E))
 (3903 1301 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3903 1301 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3816 1240 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (3648 776 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3622 3622 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3480 584 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (3264 96 (:REWRITE TAKE-OF-LEN-FREE))
 (2989 2989 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (2892 2892 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (2620 2620 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (2602 2602 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2496 96 (:REWRITE NATS=>CHARS-OF-TAKE))
 (2333 690 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (2312 584 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1858 138 (:REWRITE NFIX-WHEN-ZP))
 (1692 256 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (1557 519 (:REWRITE NTH-WHEN-D-E-P . 2))
 (1491 138 (:REWRITE NFIX-WHEN-NATP))
 (1380 150 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (1338 394 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (1301 1301 (:LINEAR POSITION-WHEN-MEMBER))
 (1301 1301 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1256 532 (:REWRITE DEFAULT-*-2))
 (1240 1240 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (1211 239 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1164 109 (:DEFINITION NATP))
 (1134 378 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (932 239 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (828 828 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (828 138 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (788 788 (:TYPE-PRESCRIPTION FAT32$C-P))
 (768 192 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (756 620 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (712 712 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (695 97 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (684 684 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (632 44 (:REWRITE CONSP-OF-LAST))
 (576 192 (:REWRITE NTH-WHEN-D-E-P . 3))
 (532 532 (:REWRITE DEFAULT-*-1))
 (531 155 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (498 332 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (487 109 (:DEFINITION NFIX))
 (480 480 (:REWRITE D-E-P-OF-D-E-FIX))
 (466 62 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (444 168 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (444 114 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (414 138 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (384 96 (:REWRITE TAKE-WHEN-ATOM))
 (382 238 (:TYPE-PRESCRIPTION LAST))
 (345 345 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (296 296 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (291 97 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (278 150 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (276 69 (:REWRITE COMMUTATIVITY-OF-+))
 (258 86 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (246 88 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (231 231 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (222 60 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (192 192 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (150 150 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (136 136 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (109 109 (:TYPE-PRESCRIPTION NATP))
 (108 60 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-81))
 (102 34 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (102 34 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (97 97 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (97 97 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (96 96 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (96 96 (:REWRITE NTH-OF-TAKE))
 (96 96 (:REWRITE LEN-OF-TAKE))
 (96 80 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (88 88 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (80 80 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (80 80 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (54 54 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (51 17 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (27 9 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-6 . 2))
 (17 17 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-76
 (180 6 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (82 2 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (74 2 (:REWRITE DEFAULT-CAR))
 (72 2 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (66 2 (:REWRITE DEFAULT-CDR))
 (64 2 (:REWRITE CONSP-OF-LAST))
 (59 59 (:TYPE-PRESCRIPTION STOBJ-SET-INDICES-IN-FA-TABLE))
 (48 6 (:REWRITE ZP-OPEN))
 (30 16 (:REWRITE DEFAULT-<-2))
 (24 6 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (18 6 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (17 16 (:REWRITE DEFAULT-<-1))
 (16 8 (:TYPE-PRESCRIPTION LAST))
 (14 9 (:REWRITE DEFAULT-+-2))
 (13 9 (:REWRITE DEFAULT-+-1))
 (8 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION FAT32$C-P))
 (6 6 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (6 2 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (3 3 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (2 2 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (1 1 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (1 1 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-78
 (156 6 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (96 12 (:REWRITE ZP-OPEN))
 (74 2 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (66 2 (:REWRITE DEFAULT-CAR))
 (64 2 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (59 59 (:TYPE-PRESCRIPTION STOBJ-SET-INDICES-IN-FA-TABLE))
 (58 2 (:REWRITE DEFAULT-CDR))
 (56 2 (:REWRITE CONSP-OF-LAST))
 (30 16 (:REWRITE DEFAULT-<-2))
 (17 16 (:REWRITE DEFAULT-<-1))
 (16 8 (:TYPE-PRESCRIPTION LAST))
 (14 9 (:REWRITE DEFAULT-+-2))
 (13 9 (:REWRITE DEFAULT-+-1))
 (8 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (6 2 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (3 3 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (2 2 (:REWRITE INTEGER-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (1 1 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (1 1 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 )
(LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1
 (165589 23056 (:REWRITE DEFAULT-CDR))
 (110873 12946 (:REWRITE STR::CONSP-OF-EXPLODE))
 (109201 893 (:DEFINITION FREE-INDEX-LISTP))
 (98806 5601 (:DEFINITION FIND-D-E))
 (94571 357 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (80784 1699 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (79053 43192 (:REWRITE DEFAULT-+-2))
 (73487 1189 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (68204 169 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (51935 43192 (:REWRITE DEFAULT-+-1))
 (45912 6975 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (45514 27475 (:REWRITE DEFAULT-<-2))
 (43585 5713 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (37169 27475 (:REWRITE DEFAULT-<-1))
 (33372 27 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-3))
 (32089 5657 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (30934 7656 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (29926 1189 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (28942 6862 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (27238 10018 (:REWRITE DEFAULT-CAR))
 (25394 25394 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (24480 314 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (19419 19419 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (17758 5882 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (17478 2488 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (16143 277 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (15389 160 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (14734 14734 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (14330 2488 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (13224 174 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (13149 160 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (12020 12020 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (11387 169 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (11314 11314 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (11238 1189 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (10795 6169 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (10724 1189 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (10633 350 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (10612 350 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (10213 2913 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (10057 3859 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (9077 101 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-87))
 (9056 9056 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (9033 508 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8891 552 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (6792 2264 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6792 2264 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6300 4077 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (5788 2894 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (4528 4528 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4316 4316 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (4046 1999 (:REWRITE DEFAULT-*-2))
 (3848 338 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (3314 498 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (3208 987 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3128 1902 (:REWRITE NTH-WHEN-D-E-P . 2))
 (3058 56 (:DEFINITION PLACE-D-E))
 (1999 1999 (:REWRITE DEFAULT-*-1))
 (1933 803 (:REWRITE NTH-WHEN-D-E-P . 3))
 (1929 357 (:REWRITE MEMBER-WHEN-ATOM))
 (1867 1867 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1777 1063 (:REWRITE DEFAULT-UNARY-MINUS))
 (1760 160 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (1347 318 (:DEFINITION POSITION-EQUAL-AC))
 (1314 1314 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (1189 1189 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (1189 160 (:REWRITE INTERSECTP-OF-SELF))
 (1044 1044 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (800 800 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LIST-LISTP))
 (522 522 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (522 522 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (510 510 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (392 56 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (357 357 (:REWRITE SUBSETP-MEMBER . 4))
 (357 357 (:REWRITE SUBSETP-MEMBER . 3))
 (357 357 (:REWRITE SUBSETP-MEMBER . 2))
 (357 357 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (357 357 (:REWRITE INTERSECTP-MEMBER . 3))
 (357 357 (:REWRITE INTERSECTP-MEMBER . 2))
 (348 348 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (348 348 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (348 348 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (348 174 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (186 62 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (169 169 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 4))
 (169 169 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (168 56 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (124 124 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (84 84 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (68 68 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (46 46 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (21 7 (:REWRITE D-E-P-OF-D-E-INSTALL-DIRECTORY-BIT . 1))
 (11 11 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (9 9 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(LOFAT-PLACE-FILE-ALT
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 )
(LOFAT-PLACE-FILE-ALT-CORRECTNESS-1
 (935433 714 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (890708 3230 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (599004 446 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (482431 100079 (:REWRITE DEFAULT-CDR))
 (444428 25479 (:DEFINITION FIND-D-E))
 (352480 1660 (:DEFINITION FREE-INDEX-LISTP))
 (321316 2576 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (288434 150255 (:REWRITE DEFAULT-+-2))
 (193081 150255 (:REWRITE DEFAULT-+-1))
 (187294 115933 (:REWRITE DEFAULT-<-2))
 (171798 2576 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (169546 461 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (168595 2576 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (167186 1414 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (167166 1414 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (166510 1356 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (151890 115933 (:REWRITE DEFAULT-<-1))
 (143927 6834 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (143875 26333 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (142947 61148 (:REWRITE DEFAULT-CAR))
 (138598 31842 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (85720 11665 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (85561 750 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (58554 58554 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (55715 598 (:REWRITE NTH-OF-NATS=>CHARS))
 (52156 11244 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (51192 51192 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (45574 2577 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (42767 873 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (42148 3409 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (39934 39934 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (35934 598 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (35856 18876 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (34672 456 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (31806 853 (:DEFINITION PLACE-D-E))
 (30712 30712 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (29922 9974 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (29922 9974 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (29707 29707 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (28212 598 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (26108 598 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (25820 598 (:REWRITE DEFAULT-CODE-CHAR))
 (23842 13820 (:REWRITE NTH-WHEN-D-E-P . 2))
 (19948 19948 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (19638 3624 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (17335 709 (:REWRITE TAKE-OF-LEN-FREE))
 (15184 5244 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (14591 425 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (14319 14319 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (13994 598 (:REWRITE NATS=>CHARS-OF-TAKE))
 (12390 3624 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (10929 65 (:REWRITE LEN-UPDATE-NTH))
 (10783 4174 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (10138 104 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (10094 3556 (:REWRITE DEFAULT-*-2))
 (8641 425 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (8002 3962 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (7726 124 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (7702 598 (:REWRITE NTH-OF-TAKE))
 (7540 3674 (:REWRITE NTH-WHEN-D-E-P . 3))
 (7464 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (6966 850 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (6263 853 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (6161 6161 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (5691 1275 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (4675 425 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (4574 3 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-3))
 (4089 4089 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (3556 3556 (:REWRITE DEFAULT-*-1))
 (3552 177 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (3074 209 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (2915 83 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-87))
 (2790 2790 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2739 2739 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (2718 199 (:REWRITE CONSP-OF-LAST))
 (2576 2576 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (2571 857 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (2503 709 (:REWRITE TAKE-WHEN-ATOM))
 (2291 2291 (:REWRITE D-E-P-OF-D-E-FIX))
 (2125 2125 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LIST-LISTP))
 (2051 714 (:REWRITE MEMBER-WHEN-ATOM))
 (1712 24 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1514 862 (:TYPE-PRESCRIPTION LAST))
 (1437 275 (:REWRITE INTERSECTP-OF-SELF))
 (1369 1369 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (1369 1369 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (1302 480 (:TYPE-PRESCRIPTION MIN))
 (1296 16 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1268 1268 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (1255 463 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1208 184 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (1196 1196 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (925 925 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (913 913 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (913 913 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (913 913 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (912 456 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (777 777 (:REWRITE D-E-P-OF-PLACE-CONTENTS . 1))
 (774 774 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (752 8 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (742 742 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (729 243 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (714 714 (:REWRITE SUBSETP-MEMBER . 4))
 (714 714 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (714 714 (:REWRITE INTERSECTP-MEMBER . 3))
 (714 714 (:REWRITE INTERSECTP-MEMBER . 2))
 (655 338 (:REWRITE DEFAULT-UNARY-MINUS))
 (589 589 (:REWRITE SUBSETP-MEMBER . 2))
 (567 99 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (487 487 (:REWRITE LEN-OF-TAKE))
 (486 486 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (468 78 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (446 446 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (444 444 (:REWRITE D-E-P-OF-PLACE-CONTENTS . 3))
 (333 333 (:TYPE-PRESCRIPTION NATS=>CHARS))
 (312 312 (:TYPE-PRESCRIPTION LOFAT-PLACE-FILE-HELPER))
 (288 99 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (265 2 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (229 229 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (216 36 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (195 65 (:DEFINITION MAX))
 (184 184 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (184 184 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (173 173 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (124 124 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (118 1 (:DEFINITION DELETE-D-E))
 (102 3 (:REWRITE DELETE-D-E-CORRECTNESS-1))
 (102 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (100 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (80 16 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (63 63 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (56 56 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (52 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (34 8 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (34 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-23))
 (26 3 (:DEFINITION ASSOC-EQUAL))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (12 12 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (6 6 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (3 3 (:TYPE-PRESCRIPTION DELETE-D-E))
 (3 1 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-2
 (65034 6 (:DEFINITION LOFAT-PLACE-FILE))
 (30262 4 (:DEFINITION LOFAT-PLACE-FILE-ALT))
 (29088 370 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (27520 90 (:REWRITE LEN-OF-NATS=>CHARS))
 (27440 80 (:REWRITE LEN-OF-INSERT-D-E))
 (26666 186 (:REWRITE LENGTH-WHEN-STRINGP))
 (22730 80 (:REWRITE LEN-OF-PLACE-D-E))
 (19903 160 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (19430 318 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (19327 40 (:REWRITE PLACE-CONTENTS-CORRECTNESS-1))
 (14390 80 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (13736 751 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (12728 100 (:REWRITE EFFECTIVE-FAT-OF-UPDATE-FATI))
 (12092 1166 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (12046 716 (:REWRITE NFIX-WHEN-NATP))
 (11871 217 (:DEFINITION NATP))
 (11192 716 (:REWRITE NFIX-WHEN-ZP))
 (8962 800 (:DEFINITION LEN))
 (8897 673 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (8826 92 (:REWRITE NTH-OF-NATS=>CHARS))
 (8598 42 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (7480 7480 (:TYPE-PRESCRIPTION LEN))
 (7146 1166 (:DEFINITION MIN))
 (7140 420 (:DEFINITION FIND-D-E))
 (7074 24 (:REWRITE UPDATE-DIR-CONTENTS-CORRECTNESS-1))
 (6891 6891 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (6520 100 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (6325 4104 (:REWRITE DEFAULT-<-1))
 (6240 48 (:REWRITE UPDATE-FATI-OF-UPDATE-FATI-COINCIDENT))
 (6083 100 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (5868 92 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (5757 4104 (:REWRITE DEFAULT-<-2))
 (5195 2567 (:REWRITE DEFAULT-+-2))
 (5144 496 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (5002 5002 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (4834 335 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (4760 318 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (4582 1632 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (4464 92 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (4320 36 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (4144 92 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (4096 92 (:REWRITE DEFAULT-CODE-CHAR))
 (4016 672 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (3680 110 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (3482 22 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (3398 3398 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (3354 20 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (3210 2567 (:REWRITE DEFAULT-+-1))
 (3150 558 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (3136 112 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (3084 456 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (3050 1561 (:REWRITE DEFAULT-CDR))
 (2970 318 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (2858 102 (:REWRITE TAKE-OF-LEN-FREE))
 (2500 500 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-8))
 (2500 500 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (2390 80 (:DEFINITION PLACE-D-E))
 (2252 92 (:REWRITE NATS=>CHARS-OF-TAKE))
 (2034 558 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1920 1920 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (1900 580 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (1690 260 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1464 1464 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1447 118 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (1428 1428 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (1423 611 (:REWRITE NTH-WHEN-D-E-P . 2))
 (1374 458 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (1247 1247 (:TYPE-PRESCRIPTION NAT-LISTP))
 (1180 1180 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (1131 1131 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (1098 366 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1098 366 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1040 80 (:REWRITE DISTRIBUTIVITY))
 (1018 274 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (1009 614 (:REWRITE DEFAULT-CAR))
 (985 701 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (982 381 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (970 970 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (961 722 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (922 922 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (922 186 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (919 367 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (896 208 (:REWRITE DEFAULT-*-2))
 (810 142 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (777 78 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (761 67 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (760 140 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (759 25 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (732 732 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (732 92 (:REWRITE NTH-OF-TAKE))
 (700 140 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (700 70 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (651 6 (:DEFINITION FREE-INDEX-LISTP))
 (601 281 (:REWRITE NTH-WHEN-D-E-P . 3))
 (590 80 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (590 15 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (582 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (580 580 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (560 80 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (550 6 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (506 506 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (458 458 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (425 15 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (420 420 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (419 146 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (390 390 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (386 386 (:REWRITE D-E-P-OF-D-E-FIX))
 (382 382 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (380 130 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (378 102 (:REWRITE TAKE-WHEN-ATOM))
 (370 370 (:TYPE-PRESCRIPTION ATOM))
 (366 366 (:LINEAR POSITION-WHEN-MEMBER))
 (366 366 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (359 359 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (330 18 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (330 18 (:REWRITE CONSP-OF-LAST))
 (325 325 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (312 12 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (310 178 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (302 214 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (300 300 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (300 240 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (290 290 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (240 80 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (240 80 (:REWRITE NATS=>STRING-OF-STRING=>NATS))
 (231 231 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 (222 6 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (217 217 (:TYPE-PRESCRIPTION NATP))
 (210 100 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (210 12 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (210 12 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (208 208 (:REWRITE DEFAULT-*-1))
 (200 100 (:REWRITE FAT32-UPDATE-LOWER-28-CORRECTNESS-1 . 1))
 (185 185 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (184 184 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (171 171 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (170 160 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (160 80 (:REWRITE STR-FIX-WHEN-STRINGP))
 (150 150 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (146 146 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (140 140 (:REWRITE D-E-FILENAME-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (138 57 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (134 134 (:TYPE-PRESCRIPTION NATS=>STRING))
 (126 78 (:TYPE-PRESCRIPTION LAST))
 (121 121 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (104 52 (:REWRITE FAT-LENGTH-OF-CLEAR-CC))
 (100 100 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (93 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (92 92 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (92 16 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (90 90 (:TYPE-PRESCRIPTION LENGTH))
 (90 90 (:TYPE-PRESCRIPTION FAT32$C-P))
 (84 84 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (82 82 (:REWRITE LEN-OF-TAKE))
 (81 81 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (80 80 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (80 80 (:REWRITE EXPLODE-OF-NATS=>STRING))
 (80 2 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (75 37 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (70 70 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (70 70 (:REWRITE D-E-P-OF-PLACE-CONTENTS . 1))
 (66 66 (:TYPE-PRESCRIPTION NATP-OF-UPDATE-DIR-CONTENTS))
 (65 65 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (60 10 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (50 10 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (48 48 (:TYPE-PRESCRIPTION LOFAT-PLACE-FILE-HELPER))
 (46 16 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (45 45 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (40 40 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (40 40 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (40 40 (:REWRITE D-E-P-OF-PLACE-CONTENTS . 3))
 (36 6 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (35 5 (:REWRITE FOLD-CONSTS-IN-+))
 (30 30 (:TYPE-PRESCRIPTION NATS=>CHARS))
 (30 30 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (25 25 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (25 15 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (24 24 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (24 24 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (19 7 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (17 3 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (15 15 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (15 15 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (15 5 (:REWRITE UNICITY-OF-0))
 (13 13 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (12 12 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (12 12 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (11 11 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (11 11 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (10 10 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (10 10 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (10 5 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (7 2 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (2 2 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 )
(NATP-OF-LOFAT-PLACE-FILE
 (39414 2311 (:DEFINITION FIND-D-E))
 (22760 680 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (22633 1331 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (12150 2384 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (8484 84 (:REWRITE NTH-OF-NATS=>CHARS))
 (8064 504 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (7517 2457 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (7392 732 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (6574 4939 (:REWRITE DEFAULT-CDR))
 (6521 3202 (:REWRITE DEFAULT-+-2))
 (5796 84 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (5667 159 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (5662 5662 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (5496 5496 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (5146 3353 (:REWRITE DEFAULT-<-2))
 (5124 5124 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (5111 51 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (5049 153 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (4724 4724 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (4496 3974 (:REWRITE DEFAULT-CAR))
 (4493 51 (:DEFINITION FREE-INDEX-LISTP))
 (4284 84 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (4182 3353 (:REWRITE DEFAULT-<-1))
 (4006 145 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (3994 1426 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (3948 3948 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3948 84 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (3948 84 (:REWRITE DEFAULT-CODE-CHAR))
 (3728 51 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (3576 746 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3253 3202 (:REWRITE DEFAULT-+-1))
 (3168 3168 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (3060 102 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (3045 511 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (2985 73 (:DEFINITION PLACE-D-E))
 (2961 987 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2961 987 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2900 2900 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2856 920 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (2856 84 (:REWRITE TAKE-OF-LEN-FREE))
 (2764 576 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2560 2560 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (2487 2487 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (2184 84 (:REWRITE NATS=>CHARS-OF-TAKE))
 (2023 511 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1974 1974 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1940 1940 (:TYPE-PRESCRIPTION CLUSTER-SIZE))
 (1690 514 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (1386 102 (:REWRITE NFIX-WHEN-ZP))
 (1215 405 (:REWRITE NTH-WHEN-D-E-P . 2))
 (1138 350 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (1113 102 (:REWRITE NFIX-WHEN-NATP))
 (1108 118 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (987 987 (:LINEAR POSITION-WHEN-MEMBER))
 (987 987 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (972 176 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (964 398 (:REWRITE DEFAULT-*-2))
 (920 920 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (846 282 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (814 160 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (700 700 (:TYPE-PRESCRIPTION FAT32$C-P))
 (674 170 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (619 160 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (612 612 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (612 102 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (610 78 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (564 564 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (564 460 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (536 536 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (527 73 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (504 168 (:REWRITE NTH-WHEN-D-E-P . 3))
 (429 123 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (420 420 (:REWRITE D-E-P-OF-D-E-FIX))
 (403 31 (:REWRITE CONSP-OF-LAST))
 (398 398 (:REWRITE DEFAULT-*-1))
 (379 149 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (366 244 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (363 81 (:DEFINITION NFIX))
 (362 362 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (354 94 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (336 84 (:REWRITE TAKE-WHEN-ATOM))
 (320 40 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (306 102 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (255 255 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (254 158 (:TYPE-PRESCRIPTION LAST))
 (240 52 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (230 118 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (219 73 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (204 51 (:REWRITE COMMUTATIVITY-OF-+))
 (174 62 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (168 168 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (168 56 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (153 153 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (123 123 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (104 104 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (84 84 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (84 84 (:REWRITE NTH-OF-TAKE))
 (84 84 (:REWRITE LEN-OF-TAKE))
 (73 73 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (73 73 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (72 60 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (72 24 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (72 24 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (66 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-81))
 (62 62 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (60 60 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (60 60 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (54 8 (:REWRITE LOFAT-FS-P-OF-PLACE-CONTENTS))
 (39 13 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (33 33 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (18 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-6 . 2))
 (13 13 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 (3 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-78))
 )
(D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT
 (127673 2913 (:REWRITE NFIX-WHEN-ZP))
 (85421 4958 (:DEFINITION FIND-D-E))
 (62155 630 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (61087 355 (:DEFINITION FREE-INDEX-LISTP))
 (60370 5281 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (59644 301 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (56238 398 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (48841 12822 (:REWRITE DEFAULT-CDR))
 (45899 24715 (:REWRITE DEFAULT-+-2))
 (37661 632 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (31396 24715 (:REWRITE DEFAULT-+-1))
 (26314 5016 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (24493 102 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (23990 14827 (:REWRITE DEFAULT-<-2))
 (21033 11378 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (20204 106 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (19915 309 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (18769 14827 (:REWRITE DEFAULT-<-1))
 (18239 4494 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (14550 8465 (:REWRITE DEFAULT-CAR))
 (13378 630 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (12910 40 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (12162 546 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (12070 546 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (11987 503 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (11944 630 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (10587 1260 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (10554 10554 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (10280 10280 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (9746 1046 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (7343 2531 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (6850 1446 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6408 43 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (6322 1122 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6291 1641 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5806 43 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (5777 28 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (5642 5642 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (5455 1819 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (4876 48 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (4440 78 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (4016 4016 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3984 145 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (3650 46 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (3606 1170 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (3520 240 (:DEFINITION POSITION-EQUAL-AC))
 (3118 32 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (3006 1002 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3006 1002 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2942 1002 (:LINEAR POSITION-WHEN-MEMBER))
 (2802 32 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (2796 28 (:REWRITE NTH-OF-NATS=>CHARS))
 (2662 994 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (2528 2528 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (2473 57 (:DEFINITION PLACE-D-E))
 (2407 841 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (2004 2004 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1932 28 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (1828 1042 (:REWRITE NTH-WHEN-D-E-P . 2))
 (1777 1777 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (1708 1708 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (1412 28 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (1316 28 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (1300 28 (:REWRITE DEFAULT-CODE-CHAR))
 (1178 198 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (1170 1170 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (1096 512 (:REWRITE DEFAULT-*-2))
 (1010 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (960 60 (:DEFINITION POSITION-EQUAL))
 (952 28 (:REWRITE TAKE-OF-LEN-FREE))
 (861 466 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (813 31 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (728 28 (:REWRITE NATS=>CHARS-OF-TAKE))
 (674 170 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (666 222 (:TYPE-PRESCRIPTION MIN))
 (630 630 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (622 309 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (560 16 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (512 512 (:REWRITE DEFAULT-*-1))
 (473 43 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (441 49 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-145))
 (440 340 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (423 289 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (420 118 (:REWRITE MEMBER-WHEN-ATOM))
 (420 20 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (404 84 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (399 57 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (395 299 (:REWRITE NTH-WHEN-D-E-P . 3))
 (368 29 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (368 27 (:REWRITE CONSP-OF-LAST))
 (358 106 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (310 310 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (289 289 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (289 289 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (289 289 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (289 289 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (289 289 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (289 289 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (289 289 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (289 289 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (289 289 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (279 279 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (264 264 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (252 35 (:REWRITE INTERSECTP-OF-SELF))
 (243 27 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-1))
 (240 120 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (236 32 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (216 116 (:TYPE-PRESCRIPTION LAST))
 (215 215 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LIST-LISTP))
 (205 4 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (183 61 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (183 61 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (164 2 (:REWRITE D-E-CC-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (154 154 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (151 151 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (150 150 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (150 51 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (139 139 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (139 139 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (132 132 (:REWRITE D-E-P-OF-D-E-FIX))
 (129 118 (:REWRITE INTERSECTP-MEMBER . 2))
 (125 3 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 3))
 (125 3 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 2))
 (122 122 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (122 122 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (118 118 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (118 118 (:REWRITE INTERSECTP-MEMBER . 3))
 (118 1 (:DEFINITION DELETE-D-E))
 (112 28 (:REWRITE TAKE-WHEN-ATOM))
 (112 16 (:REWRITE SUBSETP-CAR-MEMBER))
 (111 47 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (105 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (102 3 (:REWRITE DELETE-D-E-CORRECTNESS-1))
 (100 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (99 11 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-43))
 (93 93 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (93 93 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (93 93 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (92 46 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (84 84 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (82 82 (:REWRITE SUBSETP-MEMBER . 4))
 (80 80 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (78 78 (:REWRITE SUBSETP-MEMBER . 2))
 (63 31 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (60 60 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (57 57 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (56 56 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (55 55 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (52 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (44 44 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (36 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-23))
 (36 32 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (34 8 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (34 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (34 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-23))
 (32 32 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (28 28 (:REWRITE NTH-OF-TAKE))
 (28 28 (:REWRITE LEN-OF-TAKE))
 (27 27 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (26 3 (:DEFINITION ASSOC-EQUAL))
 (24 4 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (18 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (10 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (6 6 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (4 4 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (3 3 (:TYPE-PRESCRIPTION DELETE-D-E))
 (3 1 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-8
 (51250 1 (:DEFINITION LOFAT-PLACE-FILE))
 (33196 217 (:REWRITE ZP-OPEN))
 (31614 170 (:REWRITE NFIX-WHEN-ZP))
 (23416 201 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (22191 16 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (20898 110 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (20175 1337 (:DEFINITION FIND-D-E))
 (20088 58 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (18439 30 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (15973 341 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (15746 678 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (13980 16 (:REWRITE UPDATE-FATI-OF-UPDATE-FATI-COINCIDENT))
 (11934 18 (:REWRITE EFFECTIVE-FAT-OF-UPDATE-FATI))
 (11888 12 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (10150 170 (:REWRITE NFIX-WHEN-NATP))
 (9947 105 (:DEFINITION NATP))
 (9476 1364 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (7385 660 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (6728 1344 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (5910 20 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (5440 16 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (4062 4 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (3746 576 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (3723 639 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3617 4 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (3230 1765 (:REWRITE DEFAULT-+-2))
 (3190 638 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3124 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (2812 2812 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (2686 292 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (2396 6 (:REWRITE LEN-OF-NATS=>CHARS))
 (2390 591 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (2390 6 (:REWRITE LEN-OF-INSERT-D-E))
 (2277 1530 (:REWRITE DEFAULT-CDR))
 (2274 6 (:DEFINITION FREE-INDEX-LISTP))
 (2252 30 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (2218 30 (:REWRITE LENGTH-WHEN-STRINGP))
 (2173 8 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (2144 1765 (:REWRITE DEFAULT-+-1))
 (2132 136 (:DEFINITION LEN))
 (2036 6 (:REWRITE LEN-OF-PLACE-D-E))
 (1782 292 (:DEFINITION MIN))
 (1649 145 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (1636 1383 (:REWRITE DEFAULT-CAR))
 (1626 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (1579 6 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (1514 377 (:REWRITE COMMUTATIVITY-OF-+))
 (1398 14 (:REWRITE NTH-OF-NATS=>CHARS))
 (1395 940 (:REWRITE DEFAULT-<-2))
 (1366 940 (:REWRITE DEFAULT-<-1))
 (1363 660 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (1337 1337 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (1278 1278 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1277 1277 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1210 3 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (1198 1198 (:TYPE-PRESCRIPTION LEN))
 (1157 1157 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (1082 75 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (1063 1063 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (1016 20 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (966 14 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (918 426 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (854 854 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (771 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (737 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (706 14 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (664 1 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 (658 14 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (650 14 (:REWRITE DEFAULT-CODE-CHAR))
 (647 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (627 3 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (610 610 (:TYPE-PRESCRIPTION FAT-ENTRY-COUNT))
 (594 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (576 68 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (507 85 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (476 14 (:REWRITE TAKE-OF-LEN-FREE))
 (439 47 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (424 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (364 14 (:REWRITE NATS=>CHARS-OF-TAKE))
 (360 1 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (337 85 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (305 49 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (285 27 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (281 57 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (277 277 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (274 274 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (273 117 (:REWRITE NTH-WHEN-D-E-P . 2))
 (264 264 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (258 86 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (244 8 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (229 8 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (228 3 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (226 5 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (224 3 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (198 66 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (198 66 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (183 11 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (180 6 (:DEFINITION PLACE-D-E))
 (175 5 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (172 172 (:TYPE-PRESCRIPTION ZP))
 (172 71 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (171 171 (:TYPE-PRESCRIPTION NATP))
 (161 18 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (150 150 (:TYPE-PRESCRIPTION LOFAT-FILE-FIX$INLINE))
 (146 146 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (132 132 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (132 7 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (130 52 (:REWRITE STR::CONSP-OF-EXPLODE))
 (120 19 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (120 3 (:REWRITE DELETE-D-E-CORRECTNESS-1))
 (118 16 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (113 1 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (110 1 (:DEFINITION DELETE-D-E))
 (102 102 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (101 53 (:REWRITE NTH-WHEN-D-E-P . 3))
 (101 30 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (100 100 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (100 100 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-8))
 (98 98 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (97 97 (:TYPE-PRESCRIPTION LOFAT-DIRECTORY-FILE-P))
 (92 28 (:REWRITE DEFAULT-*-2))
 (90 90 (:TYPE-PRESCRIPTION LOFAT-REGULAR-FILE-P))
 (86 86 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (86 31 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (82 30 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (78 78 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (78 6 (:REWRITE DISTRIBUTIVITY))
 (76 52 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (74 74 (:TYPE-PRESCRIPTION ATOM))
 (73 73 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (66 66 (:REWRITE D-E-P-OF-D-E-FIX))
 (66 66 (:LINEAR POSITION-WHEN-MEMBER))
 (66 66 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (64 20 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (62 23 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (61 61 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (56 56 (:REWRITE LOFAT-FILE-P-OF-LOFAT-FILE-FIX))
 (56 44 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (56 14 (:REWRITE TAKE-WHEN-ATOM))
 (55 3 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (55 3 (:REWRITE CONSP-OF-LAST))
 (52 52 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 (45 45 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (42 20 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (42 6 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (40 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (37 37 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (36 18 (:REWRITE FAT32-UPDATE-LOWER-28-CORRECTNESS-1 . 1))
 (36 15 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (34 34 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (33 33 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (33 1 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (32 32 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (30 28 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (30 10 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (29 29 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (28 28 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (28 28 (:REWRITE DEFAULT-*-1))
 (26 26 (:TYPE-PRESCRIPTION FAT32$C-P))
 (26 8 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (24 12 (:REWRITE FAT-LENGTH-OF-CLEAR-CC))
 (24 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-23))
 (21 21 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (21 21 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (21 13 (:TYPE-PRESCRIPTION LAST))
 (20 3 (:DEFINITION ASSOC-EQUAL))
 (18 18 (:TYPE-PRESCRIPTION LENGTH))
 (18 6 (:REWRITE NATS=>STRING-OF-STRING=>NATS))
 (17 17 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (17 3 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (16 16 (:TYPE-PRESCRIPTION LOFAT-PLACE-FILE-HELPER))
 (16 6 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (14 14 (:REWRITE NTH-OF-TAKE))
 (14 14 (:REWRITE LEN-OF-TAKE))
 (13 13 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (13 1 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (12 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (12 12 (:REWRITE D-E-FILENAME-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (12 6 (:REWRITE STR-FIX-WHEN-STRINGP))
 (12 4 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (12 2 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (11 11 (:TYPE-PRESCRIPTION NATS=>STRING))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (10 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (10 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (9 3 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (8 8 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (8 8 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (8 8 (:REWRITE LOFAT-FILE->CONTENTS$INLINE-OF-LOFAT-FILE-FIX-X))
 (7 7 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (7 7 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (7 7 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (7 7 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (7 1 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (6 6 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (6 6 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (6 6 (:REWRITE EXPLODE-OF-NATS=>STRING))
 (6 6 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (6 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (6 1 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (5 5 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (5 3 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (5 1 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (4 4 (:TYPE-PRESCRIPTION NATP-OF-UPDATE-DIR-CONTENTS))
 (4 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (3 3 (:TYPE-PRESCRIPTION DELETE-D-E))
 (3 3 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (3 1 (:REWRITE UNICITY-OF-0))
 (2 2 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (2 2 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (2 2 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (2 1 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (1 1 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (1 1 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 )
(D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1
 (67857 59 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (53867 308 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (47929 46 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (45742 3054 (:DEFINITION FIND-D-E))
 (41114 11034 (:REWRITE DEFAULT-CDR))
 (36942 247 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (36905 48 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (36507 35 (:REWRITE CONSP-OF-MAKE-LIST-AC))
 (35825 18898 (:REWRITE DEFAULT-+-2))
 (35120 302 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (35055 201 (:DEFINITION FREE-INDEX-LISTP))
 (27462 61 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (24069 18898 (:REWRITE DEFAULT-+-1))
 (23050 56 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (22776 140 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-2))
 (20159 249 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (18272 11253 (:REWRITE DEFAULT-<-2))
 (16412 3274 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (15483 8539 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (15188 114 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (14648 11253 (:REWRITE DEFAULT-<-1))
 (13802 3172 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (13689 34 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-DISJOINT))
 (11711 5896 (:REWRITE DEFAULT-CAR))
 (11264 13 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-3))
 (11253 1473 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (10175 302 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (9952 48 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (9925 302 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (9868 220 (:DEFINITION PLACE-D-E))
 (9862 281 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (9853 281 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (9779 186 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8966 33 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (8803 1626 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (7874 302 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (7660 44 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (7056 7056 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (7044 44 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (6328 47 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (4276 76 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (3987 1329 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (3954 1318 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (3816 32 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (3611 951 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3496 46 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (3332 902 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (3244 3244 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2433 811 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (2433 811 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2166 1035 (:REWRITE DEFAULT-*-2))
 (1882 28 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (1721 811 (:LINEAR POSITION-WHEN-MEMBER))
 (1624 1624 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (1622 1622 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1595 28 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (1581 927 (:REWRITE NTH-WHEN-D-E-P . 2))
 (1548 582 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (1540 220 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (1318 1318 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (1223 1035 (:REWRITE DEFAULT-*-1))
 (1190 34 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (1120 70 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-3))
 (1113 108 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (1103 1103 (:REWRITE SUBSETP-MEMBER . 2))
 (1086 76 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (1042 70 (:REWRITE CONSP-OF-LAST))
 (998 459 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (991 991 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (961 88 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (886 886 (:TYPE-PRESCRIPTION ATOM))
 (840 280 (:DEFINITION POSITION-EQUAL-AC))
 (829 132 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (776 2 (:REWRITE D-E-CC-CONTENTS-OF-STOBJ-SET-INDICES-IN-FA-TABLE-DISJOINT))
 (679 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (678 426 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (660 220 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (615 34 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (595 61 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 5))
 (542 310 (:TYPE-PRESCRIPTION LAST))
 (542 92 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (484 44 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (459 93 (:REWRITE MEMBER-WHEN-ATOM))
 (432 144 (:TYPE-PRESCRIPTION MIN))
 (420 420 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (383 134 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (340 80 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (323 79 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (316 16 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (312 55 (:REWRITE INTERSECTP-OF-SELF))
 (302 302 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (302 302 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (288 64 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (280 70 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (280 70 (:DEFINITION POSITION-EQUAL))
 (276 276 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (258 86 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (252 252 (:REWRITE NTH-WHEN-D-E-P . 3))
 (239 239 (:TYPE-PRESCRIPTION LENGTH))
 (220 220 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LIST-LISTP))
 (220 220 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (202 202 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (188 188 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (185 185 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (184 92 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (172 172 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (154 77 (:REWRITE DEFAULT-UNARY-MINUS))
 (140 140 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (138 138 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (138 138 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (134 22 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (93 93 (:REWRITE SUBSETP-MEMBER . 4))
 (93 93 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (93 93 (:REWRITE INTERSECTP-MEMBER . 3))
 (93 93 (:REWRITE INTERSECTP-MEMBER . 2))
 (92 92 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (92 92 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (92 92 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (92 46 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (88 88 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (85 85 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (72 72 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (70 70 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (70 70 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (64 64 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (64 64 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (62 25 (:REWRITE COUNT-OF-CLUSTERS-OF-PLACE-CONTENTS))
 (52 22 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (46 46 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (44 44 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (44 44 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (40 28 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (40 10 (:REWRITE LOFAT-REGULAR-FILE-P-CORRECTNESS-2))
 (36 12 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (34 34 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (30 30 (:TYPE-PRESCRIPTION LOFAT-FILE-FIX$INLINE))
 (30 30 (:REWRITE MEMBER-OF-CAR))
 (28 28 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (25 10 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-2))
 (25 10 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-1))
 (25 3 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (18 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (16 16 (:REWRITE SUBSETP-OF-CDR))
 (15 15 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-23))
 (15 15 (:REWRITE LOFAT-FILE-P-OF-LOFAT-FILE-FIX))
 (12 12 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (10 10 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 )
(D-E-CC-OF-LOFAT-PLACE-FILE-DISJOINT
 (122409 3019 (:REWRITE NFIX-WHEN-ZP))
 (85280 4950 (:DEFINITION FIND-D-E))
 (69900 634 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (68824 357 (:DEFINITION FREE-INDEX-LISTP))
 (62352 309 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (60039 5192 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (55085 404 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (52611 12888 (:REWRITE DEFAULT-CDR))
 (51734 47 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (50255 636 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (44055 23947 (:REWRITE DEFAULT-+-2))
 (30847 23947 (:REWRITE DEFAULT-+-1))
 (27110 16570 (:REWRITE DEFAULT-<-2))
 (26269 5008 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (25874 134 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (22934 11914 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (21244 5696 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (20733 16570 (:REWRITE DEFAULT-<-1))
 (19915 309 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (19835 543 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (19571 543 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (18721 106 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (17953 8516 (:REWRITE DEFAULT-CAR))
 (16994 634 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (15559 499 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (14789 634 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (12039 40 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (10598 1263 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (10540 10540 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (10264 10264 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (9772 1048 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (8991 1181 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (7350 2534 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (6881 1453 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6408 43 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (6311 1648 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5806 43 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (5758 1920 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (5656 5656 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (5370 300 (:DEFINITION POSITION-EQUAL-AC))
 (4876 48 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (4440 78 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (4190 28 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (4020 146 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (4008 4008 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3650 46 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (3606 1170 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (3090 43 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (3003 1001 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3003 1001 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2941 1001 (:LINEAR POSITION-WHEN-MEMBER))
 (2796 28 (:REWRITE NTH-OF-NATS=>CHARS))
 (2686 1003 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (2564 2564 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (2562 32 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (2512 946 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (2473 57 (:DEFINITION PLACE-D-E))
 (2246 32 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (2002 2002 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1932 28 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (1870 1074 (:REWRITE NTH-WHEN-D-E-P . 2))
 (1787 1787 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (1724 8 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-1))
 (1708 1708 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (1688 136 (:REWRITE MEMBER-WHEN-ATOM))
 (1412 28 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (1316 28 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (1300 28 (:REWRITE DEFAULT-CODE-CHAR))
 (1176 196 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (1170 1170 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (1102 515 (:REWRITE DEFAULT-*-2))
 (960 60 (:DEFINITION POSITION-EQUAL))
 (952 28 (:REWRITE TAKE-OF-LEN-FREE))
 (948 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (873 474 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (728 28 (:REWRITE NATS=>CHARS-OF-TAKE))
 (674 170 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (666 222 (:TYPE-PRESCRIPTION MIN))
 (634 634 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (622 309 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (590 430 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (515 515 (:REWRITE DEFAULT-*-1))
 (473 43 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (472 314 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (441 49 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-145))
 (420 20 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (404 84 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (399 303 (:REWRITE NTH-WHEN-D-E-P . 3))
 (399 57 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (368 29 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (368 27 (:REWRITE CONSP-OF-LAST))
 (362 110 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (331 331 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (326 314 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (314 314 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (314 314 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (314 314 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (314 314 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (314 314 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (314 314 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (314 314 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (314 314 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (279 279 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (264 264 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (252 35 (:REWRITE INTERSECTP-OF-SELF))
 (243 27 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-1))
 (240 120 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (236 32 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (216 116 (:TYPE-PRESCRIPTION LAST))
 (215 215 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LIST-LISTP))
 (186 62 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (183 61 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (163 136 (:REWRITE INTERSECTP-MEMBER . 2))
 (157 157 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (154 154 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (153 153 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (152 136 (:REWRITE INTERSECTP-MEMBER . 3))
 (150 51 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (139 139 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (139 139 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (136 136 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (132 132 (:REWRITE D-E-P-OF-D-E-FIX))
 (124 124 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (122 122 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (118 1 (:DEFINITION DELETE-D-E))
 (112 28 (:REWRITE TAKE-WHEN-ATOM))
 (112 4 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (105 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (104 104 (:REWRITE SUBSETP-MEMBER . 2))
 (102 3 (:REWRITE DELETE-D-E-CORRECTNESS-1))
 (100 100 (:REWRITE SUBSETP-MEMBER . 4))
 (100 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (99 11 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-43))
 (93 93 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (93 93 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (93 93 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (92 46 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (90 90 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (89 21 (:REWRITE D-E-CC-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (84 84 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (80 80 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (80 47 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (75 43 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (70 2 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (63 3 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 3))
 (63 3 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 2))
 (57 57 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (56 56 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (56 56 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (52 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (44 44 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (36 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-23))
 (36 36 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-3))
 (36 32 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (34 8 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (34 6 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (34 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-23))
 (32 32 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (28 28 (:REWRITE NTH-OF-TAKE))
 (28 28 (:REWRITE LEN-OF-TAKE))
 (27 27 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (26 3 (:DEFINITION ASSOC-EQUAL))
 (24 4 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (18 6 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (16 8 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-2))
 (14 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (10 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (6 6 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (4 4 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (3 3 (:TYPE-PRESCRIPTION DELETE-D-E))
 (3 1 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT
 (3240642 181 (:DEFINITION LOFAT-PLACE-FILE))
 (1628681 2896 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (1449754 10498 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (1243996 35613 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (1157165 5430 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (804642 19910 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (744320 2896 (:REWRITE UPDATE-FATI-OF-UPDATE-FATI-COINCIDENT))
 (717526 3258 (:REWRITE EFFECTIVE-FAT-OF-UPDATE-FATI))
 (577408 2172 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (480790 52084 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (477411 302351 (:REWRITE DEFAULT-+-2))
 (383195 302351 (:REWRITE DEFAULT-+-1))
 (342929 2896 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (326064 3620 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (317934 52084 (:DEFINITION MIN))
 (280435 197956 (:REWRITE DEFAULT-<-1))
 (269616 197956 (:REWRITE DEFAULT-<-2))
 (247942 1086 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (238583 178980 (:REWRITE DEFAULT-CDR))
 (230089 230089 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (211150 148321 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (206072 724 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (203334 18270 (:DEFINITION LEN))
 (195842 13575 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (183896 3620 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (172563 172563 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (172358 172358 (:TYPE-PRESCRIPTION LEN))
 (169269 134061 (:REWRITE DEFAULT-CAR))
 (164622 75570 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (137415 7545 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (130866 26621 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (129801 106447 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (116202 5430 (:DEFINITION LENGTH))
 (104256 12308 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (102378 67691 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (98225 98225 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (97816 9582 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (74578 12768 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (65458 2896 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (60387 2323 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (59120 14384 (:REWRITE SUBSETP-CAR-MEMBER))
 (55205 8869 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (54174 18462 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (53671 543 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (53132 724 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (51365 10273 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (50861 10317 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (49413 3801 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (48058 48058 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (47698 543 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (46509 26621 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (46314 15438 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (44904 44904 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (31675 905 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (29300 14107 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (28224 28176 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (27150 27150 (:TYPE-PRESCRIPTION LOFAT-FILE-FIX$INLINE))
 (26607 13575 (:REWRITE NTH-WHEN-D-E-P . 2))
 (26426 26426 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (24435 4887 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (24207 24207 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (23530 9412 (:REWRITE STR::CONSP-OF-EXPLODE))
 (22414 7554 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (21720 3439 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (20645 15396 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (20614 4917 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (19975 19975 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (18824 18824 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-8))
 (17738 17738 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (17557 17557 (:TYPE-PRESCRIPTION LOFAT-DIRECTORY-FILE-P))
 (17376 17376 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (16290 16290 (:TYPE-PRESCRIPTION LOFAT-REGULAR-FILE-P))
 (15968 14384 (:REWRITE MEMBER-WHEN-ATOM))
 (15566 5430 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (15438 15438 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (15262 14525 (:REWRITE DEFAULT-UNARY-MINUS))
 (14384 14384 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (14384 14384 (:REWRITE INTERSECTP-MEMBER . 3))
 (14384 14384 (:REWRITE INTERSECTP-MEMBER . 2))
 (14118 14118 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (14108 14108 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (13857 149 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (13756 9412 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (13394 13394 (:TYPE-PRESCRIPTION ATOM))
 (13213 13213 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (13032 4344 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (13032 4344 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (12245 12245 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (11584 3620 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (10273 10273 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (10136 10136 (:REWRITE LOFAT-FILE-P-OF-LOFAT-FILE-FIX))
 (10136 10136 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (10136 7964 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (9955 9955 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (9955 543 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (9955 543 (:REWRITE CONSP-OF-LAST))
 (9380 9380 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 (9220 9220 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (9084 2172 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (8688 8688 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7748 298 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (7602 3620 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (6589 541 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (6516 3258 (:REWRITE FAT32-UPDATE-LOWER-28-CORRECTNESS-1 . 1))
 (6335 6335 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (5792 5792 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (5792 2896 (:REWRITE DEFAULT-*-2))
 (5430 5068 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (5249 5249 (:REWRITE NTH-WHEN-D-E-P . 3))
 (5185 5185 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (4706 4706 (:TYPE-PRESCRIPTION FAT32$C-P))
 (4344 4344 (:LINEAR POSITION-WHEN-MEMBER))
 (4344 4344 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4344 2172 (:REWRITE FAT-LENGTH-OF-CLEAR-CC))
 (3801 2353 (:TYPE-PRESCRIPTION LAST))
 (3258 3258 (:TYPE-PRESCRIPTION LENGTH))
 (3077 3077 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (3077 543 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (2896 2896 (:TYPE-PRESCRIPTION LOFAT-PLACE-FILE-HELPER))
 (2896 2896 (:REWRITE DEFAULT-*-1))
 (2353 2353 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (2353 181 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (2172 2172 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2172 362 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (2076 692 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (2044 2044 (:TYPE-PRESCRIPTION NATS=>CHARS))
 (1767 1767 (:TYPE-PRESCRIPTION NATS=>STRING))
 (1629 543 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (1556 1556 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (1448 1448 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (1448 1448 (:REWRITE LOFAT-FILE->CONTENTS$INLINE-OF-LOFAT-FILE-FIX-X))
 (1086 1086 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (1022 1022 (:REWRITE EXPLODE-OF-NATS=>STRING))
 (905 905 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (905 543 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (905 181 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (894 149 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (852 852 (:TYPE-PRESCRIPTION NATP-OF-UPDATE-DIR-CONTENTS))
 (776 388 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (596 596 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (543 543 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (543 181 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (391 181 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (388 388 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (388 388 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (362 362 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (362 362 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (362 362 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (324 324 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (181 181 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (181 181 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (181 181 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (158 158 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (140 140 (:REWRITE CONSP-OF-APPEND))
 (85 85 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-2)
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-32)
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-66
 (6720 780 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (4860 540 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (4320 540 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3559 5 (:DEFINITION FREE-INDEX-LISTP))
 (3446 13 (:REWRITE NFIX-WHEN-ZP))
 (3438 13 (:REWRITE ZP-OPEN))
 (3015 6 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (2700 540 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2385 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (2128 28 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (1563 1 (:REWRITE NTH-OF-FREE-INDEX-LIST))
 (1455 43 (:DEFINITION LEN))
 (1409 56 (:REWRITE DEFAULT-CDR))
 (1399 4 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (1090 1090 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1080 1080 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1058 533 (:REWRITE DEFAULT-+-2))
 (844 35 (:REWRITE DEFAULT-CAR))
 (834 4 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (569 533 (:REWRITE DEFAULT-+-1))
 (550 550 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (540 540 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (540 540 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (540 540 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (511 3 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (372 1 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (255 3 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (168 3 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (165 9 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (159 3 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (159 3 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (123 77 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (102 102 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (84 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (81 27 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (70 70 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (63 32 (:REWRITE DEFAULT-<-2))
 (42 22 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (36 32 (:REWRITE DEFAULT-<-1))
 (32 32 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (30 4 (:LINEAR POSITION-WHEN-MEMBER))
 (28 28 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (25 25 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (24 8 (:DEFINITION POSITION-EQUAL-AC))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (13 13 (:TYPE-PRESCRIPTION ZP))
 (12 12 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (12 6 (:REWRITE NTH-WHEN-D-E-P . 2))
 (12 4 (:REWRITE UNICITY-OF-0))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (10 2 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (9 9 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (8 8 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 4 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (8 2 (:DEFINITION POSITION-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (6 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (6 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (5 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (3 3 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (3 3 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (3 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (3 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-87))
 (3 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-39))
 (2 2 (:REWRITE NTH-WHEN-D-E-P . 3))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (2 2 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-65
 (114881 433 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (86368 3895 (:REWRITE NFIX-WHEN-ZP))
 (79381 60 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (75808 9142 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (63002 822 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (51076 258 (:DEFINITION FREE-INDEX-LISTP))
 (50259 84 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (47683 407 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (47632 1704 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (45360 24418 (:REWRITE DEFAULT-+-2))
 (43909 9184 (:REWRITE DEFAULT-CDR))
 (40335 30 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (34701 34701 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (32105 24418 (:REWRITE DEFAULT-+-1))
 (27808 40 (:REWRITE POSITION-EQUAL-AC-OF-+))
 (25437 15292 (:REWRITE DEFAULT-<-2))
 (23586 5404 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (23426 407 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (23232 164 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-1))
 (22907 712 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (22426 822 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (22322 63 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (22232 407 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (21610 78 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-DISJOINT))
 (19788 30 (:REWRITE D-E-CC-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (18836 15292 (:REWRITE DEFAULT-<-1))
 (17558 120 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (17231 328 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (13972 791 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (11100 1000 (:DEFINITION POSITION-EQUAL-AC))
 (10790 2680 (:REWRITE DEFAULT-CAR))
 (9504 116 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (7738 409 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (7501 10 (:REWRITE COUNT-FREE-CLUSTERS-OF-UPDATE-NTH))
 (6284 1144 (:LINEAR POSITION-WHEN-MEMBER))
 (6048 58 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (5406 54 (:REWRITE NTH-OF-NATS=>CHARS))
 (4576 4576 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4523 939 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4410 156 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-FATI))
 (3768 1256 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (3726 54 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (3534 57 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (3523 95 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (3432 1144 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3432 1144 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3395 97 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (3294 3294 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (3102 1214 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2891 1217 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (2870 958 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2864 2864 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2824 1650 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2736 57 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (2730 54 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (2538 54 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (2514 54 (:REWRITE DEFAULT-CODE-CHAR))
 (2428 36 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (2288 2288 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2260 220 (:DEFINITION POSITION-EQUAL))
 (2170 64 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (2086 36 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (2000 1480 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (1956 328 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (1952 64 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1836 54 (:REWRITE TAKE-OF-LEN-FREE))
 (1764 188 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (1662 765 (:REWRITE DEFAULT-*-2))
 (1640 164 (:REWRITE COMMUTATIVITY-2-OF-+))
 (1404 54 (:REWRITE NATS=>CHARS-OF-TAKE))
 (1334 114 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (1331 699 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1300 328 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1256 1256 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (1164 5 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (1155 48 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (1152 1152 (:TYPE-PRESCRIPTION ATOM))
 (1065 213 (:REWRITE NON-FREE-INDEX-LISTP-OF-D-E-CC))
 (1029 220 (:REWRITE MEMBER-WHEN-ATOM))
 (877 200 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (859 418 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (795 765 (:REWRITE DEFAULT-*-1))
 (787 79 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (783 261 (:TYPE-PRESCRIPTION MIN))
 (760 70 (:REWRITE ASSOCIATIVITY-OF-+))
 (679 97 (:REWRITE SUBSETP-CAR-MEMBER))
 (675 45 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-11))
 (664 328 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (632 424 (:REWRITE NTH-WHEN-D-E-P . 3))
 (627 57 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (608 80 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (552 27 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (546 42 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-9))
 (474 150 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (460 116 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (414 414 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (407 407 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (402 30 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (348 111 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (346 346 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (327 327 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (320 320 (:TYPE-PRESCRIPTION LENGTH))
 (312 312 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (308 28 (:REWRITE CONSP-OF-LAST))
 (285 285 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LIST-LISTP))
 (285 220 (:REWRITE INTERSECTP-MEMBER . 2))
 (280 280 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (258 258 (:REWRITE D-E-P-OF-D-E-FIX))
 (253 49 (:REWRITE INTERSECTP-OF-SELF))
 (234 26 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-145))
 (222 222 (:REWRITE SUBSETP-MEMBER . 2))
 (220 220 (:REWRITE INTERSECTP-MEMBER . 3))
 (218 218 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (218 218 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (218 122 (:TYPE-PRESCRIPTION LAST))
 (218 109 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (216 54 (:REWRITE TAKE-WHEN-ATOM))
 (208 104 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (206 206 (:REWRITE SUBSETP-MEMBER . 4))
 (180 30 (:REWRITE DISTRIBUTIVITY-OF-MINUS-OVER-+))
 (180 20 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-1))
 (155 155 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (148 148 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (132 52 (:REWRITE CLUSTER-SIZE-OF-PLACE-CONTENTS))
 (132 1 (:REWRITE LOFAT-FS-P-OF-UPDATE-DIR-CONTENTS))
 (120 60 (:REWRITE DEFAULT-UNARY-MINUS))
 (120 40 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (116 116 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (114 114 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (109 109 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (109 109 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (109 109 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (108 108 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (95 95 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (90 90 (:TYPE-PRESCRIPTION NATS=>CHARS))
 (80 80 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (78 78 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (72 72 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (68 12 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (64 64 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (60 60 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (54 54 (:REWRITE NTH-OF-TAKE))
 (54 54 (:REWRITE LEN-OF-TAKE))
 (53 25 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-39))
 (48 48 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (48 8 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (46 36 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (39 5 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (38 38 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (36 12 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (27 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-43))
 (26 26 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (14 14 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-23))
 (12 1 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (8 8 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (6 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (3 1 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-7
 (238 10 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (187 17 (:DEFINITION FIND-D-E))
 (85 17 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (85 3 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (85 3 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (56 7 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (51 17 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (49 7 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (45 45 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (42 7 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (35 7 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (34 34 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (20 4 (:REWRITE NFIX-WHEN-NATP))
 (18 18 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
 (17 17 (:TYPE-PRESCRIPTION D-E-P))
 (17 17 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (17 17 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (17 17 (:REWRITE DEFAULT-CDR))
 (17 17 (:REWRITE DEFAULT-CAR))
 (17 17 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (16 16 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (16 4 (:REWRITE NFIX-WHEN-ZP))
 (14 14 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (14 14 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (14 7 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (13 1 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (13 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-38))
 (12 4 (:DEFINITION NATP))
 (12 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (11 10 (:REWRITE DEFAULT-<-2))
 (11 10 (:REWRITE DEFAULT-<-1))
 (9 3 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (8 8 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (7 1 (:REWRITE MEMBER-WHEN-ATOM))
 (6 6 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (5 1 (:REWRITE D-E-CC-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:REWRITE ZP-OPEN))
 (4 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (4 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (4 1 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (3 3 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (3 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (3 1 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (2 2 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (1 1 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1 1 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 5))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-97
 (479787 632 (:DEFINITION FREE-INDEX-LISTP))
 (468945 847 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (306439 951 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (184226 16293 (:REWRITE DEFAULT-CDR))
 (144176 5019 (:REWRITE DEFAULT-CAR))
 (99268 53871 (:REWRITE DEFAULT-+-2))
 (71664 53871 (:REWRITE DEFAULT-+-1))
 (63549 17525 (:REWRITE NFIX-WHEN-ZP))
 (57218 11870 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (33265 24255 (:REWRITE DEFAULT-<-2))
 (29342 687 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (29264 687 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (29042 95 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (27173 24255 (:REWRITE DEFAULT-<-1))
 (16704 141 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (11205 2497 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (11031 463 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (9774 3258 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (9525 2106 (:DEFINITION POSITION-EQUAL-AC))
 (6972 6972 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6342 6342 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6223 5323 (:REWRITE NTH-WHEN-D-E-P . 2))
 (6097 2497 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (5818 2210 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (5604 64 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (5602 5602 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (5428 469 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (5229 1743 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (5229 1743 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4078 239 (:REWRITE FATI-OF-PLACE-CONTENTS-DISJOINT))
 (3486 3486 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3258 3258 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (2953 229 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (2904 2904 (:TYPE-PRESCRIPTION ATOM))
 (2410 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-112))
 (2110 1055 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (1910 698 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (1827 430 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (1741 2 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (1700 808 (:REWRITE DEFAULT-*-2))
 (1637 3 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-3))
 (1610 949 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (1518 16 (:REWRITE NTH-OF-NATS=>CHARS))
 (1332 3 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (1305 145 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-145))
 (1296 12 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (1177 43 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (1168 1 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-11))
 (1128 453 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1088 8 (:REWRITE LEN-UPDATE-NTH))
 (1029 442 (:REWRITE MEMBER-WHEN-ATOM))
 (1029 147 (:REWRITE SUBSETP-CAR-MEMBER))
 (1003 16 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (978 41 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-23))
 (880 439 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (854 854 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (808 808 (:REWRITE DEFAULT-*-1))
 (804 804 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (800 492 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-39))
 (768 16 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (738 82 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-1))
 (720 48 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-38))
 (716 16 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (704 16 (:REWRITE DEFAULT-CODE-CHAR))
 (675 375 (:REWRITE NTH-WHEN-D-E-P . 3))
 (646 646 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (561 187 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (501 228 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (485 18 (:REWRITE TAKE-OF-LEN-FREE))
 (468 468 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (442 442 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (442 442 (:REWRITE INTERSECTP-MEMBER . 3))
 (442 442 (:REWRITE INTERSECTP-MEMBER . 2))
 (430 430 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (422 422 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (402 402 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (400 400 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (385 16 (:REWRITE NATS=>CHARS-OF-TAKE))
 (374 374 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (350 175 (:REWRITE DEFAULT-UNARY-MINUS))
 (349 349 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (349 97 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (306 34 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-43))
 (181 181 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (168 24 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (166 40 (:REWRITE INTERSECTP-OF-SELF))
 (162 54 (:TYPE-PRESCRIPTION MIN))
 (136 16 (:REWRITE NTH-OF-TAKE))
 (134 10 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (130 130 (:REWRITE CAR-CONS))
 (120 18 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (94 10 (:REWRITE CONSP-OF-LAST))
 (93 93 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (93 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (77 41 (:TYPE-PRESCRIPTION LAST))
 (68 23 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (66 66 (:REWRITE D-E-P-OF-D-E-FIX))
 (66 18 (:REWRITE TAKE-WHEN-ATOM))
 (64 64 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (52 2 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (48 16 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (37 37 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (32 32 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (24 24 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (24 24 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (24 8 (:DEFINITION MAX))
 (17 3 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (14 14 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (14 14 (:REWRITE LEN-OF-TAKE))
 (12 2 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (10 10 (:REWRITE D-E-P-OF-PLACE-CONTENTS . 1))
 (9 9 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (9 3 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION NATS=>CHARS))
 (6 6 (:REWRITE D-E-P-OF-PLACE-CONTENTS . 3))
 (6 1 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (2 2 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-92
 (37768 89 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (25788 3488 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (23993 12851 (:REWRITE DEFAULT-+-2))
 (20773 400 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (16301 12851 (:REWRITE DEFAULT-+-1))
 (14942 400 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (14766 32 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (13905 5214 (:REWRITE DEFAULT-CDR))
 (11783 11783 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (10295 126 (:DEFINITION FREE-INDEX-LISTP))
 (8625 5852 (:REWRITE DEFAULT-<-2))
 (7153 1828 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (6845 5852 (:REWRITE DEFAULT-<-1))
 (6839 213 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (6473 24 (:REWRITE NON-FREE-INDEX-LISTP-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS))
 (6126 213 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (5230 48 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 2))
 (4602 1092 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4424 99 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (3869 1249 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (3382 1819 (:REWRITE DEFAULT-CAR))
 (3228 30 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (2446 190 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (2237 1271 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (2004 668 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (1816 1816 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1770 276 (:DEFINITION POSITION-EQUAL-AC))
 (1736 59 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (1658 908 (:LINEAR POSITION-WHEN-MEMBER))
 (1500 714 (:REWRITE DEFAULT-*-2))
 (1494 1494 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1295 14 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (1179 131 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-145))
 (1005 773 (:REWRITE NTH-WHEN-D-E-P . 2))
 (986 146 (:REWRITE SUBSETP-CAR-MEMBER))
 (917 917 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (891 31 (:REWRITE FATI-OF-PLACE-CONTENTS-DISJOINT))
 (821 1 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-11))
 (796 1 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-3))
 (757 28 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (714 714 (:REWRITE DEFAULT-*-1))
 (668 668 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (667 167 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (627 183 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-66))
 (560 560 (:TYPE-PRESCRIPTION ATOM))
 (539 539 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (522 174 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (442 410 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (402 1 (:REWRITE NO-DUPLICATESP-OF-D-E-CC-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (402 1 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (386 386 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (374 213 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (348 348 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (346 4 (:REWRITE LEN-UPDATE-NTH))
 (276 46 (:DEFINITION POSITION-EQUAL))
 (258 23 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (248 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-23))
 (240 119 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (232 232 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (232 232 (:REWRITE INTERSECTP-MEMBER . 3))
 (232 232 (:REWRITE INTERSECTP-MEMBER . 2))
 (207 23 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-43))
 (197 197 (:REWRITE SUBSETP-MEMBER . 2))
 (194 194 (:REWRITE SUBSETP-MEMBER . 4))
 (189 63 (:TYPE-PRESCRIPTION MIN))
 (168 168 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (127 33 (:REWRITE INTERSECTP-OF-SELF))
 (120 18 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (108 36 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-11))
 (107 10 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (92 92 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (91 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (84 24 (:REWRITE NON-FREE-INDEX-LISTP-OF-UPDATE-NTH))
 (77 41 (:TYPE-PRESCRIPTION LAST))
 (72 44 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-39))
 (67 10 (:REWRITE CONSP-OF-LAST))
 (63 63 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (60 60 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (52 2 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (47 23 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (45 45 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (42 42 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (42 42 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (42 21 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (40 20 (:REWRITE DEFAULT-UNARY-MINUS))
 (36 36 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (21 21 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (19 19 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (17 3 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (14 14 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-98))
 (12 4 (:DEFINITION MAX))
 (12 2 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (9 9 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (9 3 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (6 1 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (2 2 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (1 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 )
(LEMMA
 (5435 79 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (5316 1580 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (3391 1999 (:REWRITE DEFAULT-+-2))
 (3113 1999 (:REWRITE DEFAULT-+-1))
 (2966 20 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-PLACE-CONTENTS))
 (2584 35 (:DEFINITION FREE-INDEX-LISTP))
 (1719 1414 (:REWRITE DEFAULT-<-1))
 (1626 34 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (1568 28 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-UPDATE-FATI))
 (1494 1414 (:REWRITE DEFAULT-<-2))
 (1438 110 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (1160 8 (:REWRITE LOFAT-FS-P-OF-UPDATE-DIR-CONTENTS))
 (1077 79 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (859 3 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (731 99 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (710 110 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-57))
 (710 10 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (624 79 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (610 9 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (582 99 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (570 254 (:REWRITE DEFAULT-CAR))
 (424 32 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (419 136 (:REWRITE DEFAULT-CDR))
 (404 4 (:REWRITE NTH-OF-NATS=>CHARS))
 (385 217 (:REWRITE NTH-WHEN-D-E-P . 2))
 (360 128 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (360 90 (:REWRITE D-E-DIRECTORY-P-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (337 37 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-37))
 (329 113 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (264 47 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (252 18 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (244 86 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (235 43 (:DEFINITION NFIX))
 (228 228 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (220 4 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (211 107 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (204 4 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (189 79 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (188 4 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (188 4 (:REWRITE DEFAULT-CODE-CHAR))
 (178 3 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (175 175 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (164 36 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (154 3 (:REWRITE NON-FREE-INDEX-LISTP-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS))
 (148 148 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (147 25 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (141 45 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (126 44 (:REWRITE MEMBER-WHEN-ATOM))
 (125 125 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (115 3 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (111 37 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (111 37 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (108 4 (:REWRITE TAKE-OF-LEN-FREE))
 (105 6 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (104 40 (:REWRITE NTH-WHEN-D-E-P . 3))
 (100 84 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (97 25 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (92 84 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (80 16 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (78 39 (:REWRITE DEFAULT-*-2))
 (76 23 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (76 4 (:REWRITE NATS=>CHARS-OF-TAKE))
 (74 74 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (73 73 (:REWRITE SUBSETP-MEMBER . 2))
 (71 11 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (57 6 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (56 56 (:TYPE-PRESCRIPTION PLACE-D-E))
 (54 54 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (54 12 (:DEFINITION POSITION-EQUAL-AC))
 (53 37 (:LINEAR POSITION-WHEN-MEMBER))
 (45 25 (:TYPE-PRESCRIPTION LAST))
 (44 44 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (44 44 (:REWRITE SUBSETP-MEMBER . 4))
 (44 44 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (44 44 (:REWRITE INTERSECTP-MEMBER . 3))
 (44 44 (:REWRITE INTERSECTP-MEMBER . 2))
 (44 19 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (39 39 (:REWRITE DEFAULT-*-1))
 (36 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (36 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (36 18 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (32 16 (:DEFINITION FIX))
 (32 8 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (28 28 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (28 28 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-7))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (28 28 (:REWRITE D-E-LIST-P-OF-PLACE-D-E))
 (27 6 (:REWRITE CONSP-OF-LAST))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (21 7 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (20 20 (:REWRITE D-E-P-OF-D-E-FIX))
 (20 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-39))
 (19 7 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (18 18 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (18 18 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (18 18 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (18 18 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (16 4 (:REWRITE TAKE-WHEN-ATOM))
 (14 14 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (14 14 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 4 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (12 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (10 10 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (9 9 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (8 8 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 3))
 (8 8 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (8 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (8 8 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (8 2 (:DEFINITION POSITION-EQUAL))
 (7 7 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (6 6 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (5 5 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (5 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE NTH-OF-TAKE))
 (4 4 (:REWRITE MEMBER-OF-CAR))
 (4 4 (:REWRITE LEN-OF-TAKE))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (1 1 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-174
 (116 9 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (64 1 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (61 3 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (60 5 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (55 5 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (55 3 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (51 3 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (50 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (42 2 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (35 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (31 31 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (30 6 (:REWRITE NFIX-WHEN-NATP))
 (26 20 (:REWRITE DEFAULT-+-2))
 (26 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (23 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (22 20 (:REWRITE DEFAULT-+-1))
 (22 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-57))
 (21 7 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (18 18 (:REWRITE DEFAULT-<-2))
 (18 18 (:REWRITE DEFAULT-<-1))
 (18 6 (:DEFINITION NATP))
 (16 3 (:REWRITE ZP-OPEN))
 (14 1 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (13 5 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (12 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (12 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (12 3 (:REWRITE D-E-DIRECTORY-P-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (11 1 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (11 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-37))
 (11 1 (:REWRITE D-E-CC-OF-LOFAT-PLACE-FILE-DISJOINT))
 (10 10 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 5 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (9 5 (:REWRITE DEFAULT-CAR))
 (9 3 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (8 1 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE))
 (8 1 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (7 3 (:REWRITE DEFAULT-CDR))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (6 2 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (6 1 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (5 5 (:REWRITE MEMBER-OF-CAR))
 (5 1 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4 4 (:TYPE-PRESCRIPTION LOFAT-REGULAR-FILE-P))
 (4 4 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (4 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (4 1 (:REWRITE INTERSECTP-OF-SELF))
 (3 3 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (3 3 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (3 3 (:REWRITE FIND-D-E-CORRECTNESS-1))
 (3 3 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (3 1 (:REWRITE D-E-CC-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (1 1 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-51
 (771 10 (:REWRITE D-E-CC-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (687 107 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (618 62 (:DEFINITION LEN))
 (460 10 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (424 70 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (314 107 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (306 16 (:REWRITE ZP-OPEN))
 (303 27 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (278 90 (:REWRITE DEFAULT-CDR))
 (240 23 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (233 53 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (228 15 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (212 212 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (210 210 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (202 109 (:REWRITE DEFAULT-+-2))
 (180 22 (:REWRITE INTERSECTP-OF-SELF))
 (160 78 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (160 10 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-11))
 (148 27 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (144 14 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (138 138 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (138 92 (:REWRITE STR::CONSP-OF-EXPLODE))
 (125 109 (:REWRITE DEFAULT-+-1))
 (110 14 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-3))
 (106 60 (:REWRITE DEFAULT-<-2))
 (104 24 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (95 15 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (90 90 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (90 90 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (90 10 (:REWRITE SUBSETP-CAR-MEMBER))
 (86 36 (:REWRITE DEFAULT-CAR))
 (82 32 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (75 25 (:REWRITE LOFAT-FS-P-OF-UPDATE-DIR-CONTENTS))
 (74 7 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-112))
 (70 7 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (67 60 (:REWRITE DEFAULT-<-1))
 (64 64 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (53 25 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (50 50 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (49 49 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (49 49 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (48 16 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (46 46 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (40 10 (:REWRITE MEMBER-WHEN-ATOM))
 (32 32 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (32 32 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (32 26 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (32 16 (:REWRITE DEFAULT-*-2))
 (30 24 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (25 25 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (25 25 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (25 25 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (24 24 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (24 24 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (24 24 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (24 24 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (22 15 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (20 20 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION ZP))
 (16 16 (:REWRITE DEFAULT-*-1))
 (16 16 (:LINEAR POSITION-WHEN-MEMBER))
 (16 16 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (10 10 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 3))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (8 8 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (4 1 (:REWRITE SUBSETP-CONS-2))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-74
 (31667 104 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (23263 2532 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (16329 3717 (:REWRITE DEFAULT-CDR))
 (13344 36 (:REWRITE EFFECTIVE-FAT-OF-UPDATE-FATI))
 (13293 6669 (:REWRITE DEFAULT-+-2))
 (12144 62 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (11500 101 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (11167 6 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (10022 62 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (8404 88 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (8363 6669 (:REWRITE DEFAULT-+-1))
 (7216 1630 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (6096 600 (:REWRITE STR::CONSP-OF-EXPLODE))
 (5635 1171 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (5566 319 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (5539 319 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (5499 31 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (4995 2825 (:REWRITE DEFAULT-<-2))
 (4314 6 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-DISJOINT))
 (3915 2825 (:REWRITE DEFAULT-<-1))
 (3372 850 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (3216 64 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (2860 22 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (2638 328 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2532 328 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2035 47 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (1782 31 (:DEFINITION FREE-INDEX-LISTP))
 (1571 2 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-11))
 (1544 1295 (:REWRITE DEFAULT-CAR))
 (1518 26 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (1400 12 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-FATI))
 (1307 2 (:REWRITE D-E-CC-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (1195 83 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (1107 16 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (1001 47 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (990 330 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (964 964 (:TYPE-PRESCRIPTION ZP))
 (900 900 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (897 273 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (838 838 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (627 209 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (627 209 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (499 184 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (468 4 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (466 60 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (418 418 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (404 4 (:REWRITE NTH-OF-NATS=>CHARS))
 (394 34 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (389 233 (:REWRITE NTH-WHEN-D-E-P . 2))
 (381 381 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (369 209 (:LINEAR POSITION-WHEN-MEMBER))
 (330 330 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (330 330 (:TYPE-PRESCRIPTION ATOM))
 (308 44 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (297 99 (:TYPE-PRESCRIPTION MIN))
 (296 296 (:REWRITE SUBSETP-MEMBER . 2))
 (295 109 (:REWRITE MEMBER-WHEN-ATOM))
 (280 8 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (276 4 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (264 132 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (264 46 (:DEFINITION NFIX))
 (258 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-57))
 (244 244 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (241 138 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (204 83 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (204 4 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (192 16 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (188 4 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (188 4 (:REWRITE DEFAULT-CODE-CHAR))
 (184 47 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (178 88 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (174 87 (:REWRITE DEFAULT-*-2))
 (165 47 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (162 7 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-37))
 (161 31 (:REWRITE INTERSECTP-OF-SELF))
 (158 158 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (156 12 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-11))
 (147 43 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (144 144 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (140 76 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (140 28 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (139 83 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (138 138 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (136 4 (:REWRITE TAKE-OF-LEN-FREE))
 (120 26 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (119 119 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (112 3 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (109 109 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (109 109 (:REWRITE INTERSECTP-MEMBER . 3))
 (109 109 (:REWRITE INTERSECTP-MEMBER . 2))
 (109 7 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (104 4 (:REWRITE NATS=>CHARS-OF-TAKE))
 (103 49 (:REWRITE NTH-WHEN-D-E-P . 3))
 (101 7 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (97 25 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (91 43 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (87 87 (:REWRITE DEFAULT-*-1))
 (86 86 (:TYPE-PRESCRIPTION LENGTH))
 (79 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (76 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (73 7 (:REWRITE CONSP-OF-LAST))
 (65 65 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (59 59 (:REWRITE SUBSETP-MEMBER . 4))
 (56 47 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (56 28 (:DEFINITION FIX))
 (56 14 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (55 10 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (53 29 (:TYPE-PRESCRIPTION LAST))
 (52 13 (:REWRITE D-E-DIRECTORY-P-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (44 44 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (44 44 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (44 14 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (39 13 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (32 32 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (32 32 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (32 32 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (32 32 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (31 31 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (26 26 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (21 21 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (20 20 (:REWRITE D-E-P-OF-D-E-FIX))
 (20 20 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (16 16 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (16 16 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (16 16 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (16 16 (:DEFINITION POSITION-EQUAL))
 (16 4 (:REWRITE TAKE-WHEN-ATOM))
 (14 14 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 3))
 (14 14 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (14 14 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (13 13 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (12 2 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (12 2 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (8 8 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (6 6 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (5 3 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (5 2 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (5 1 (:REWRITE SUBSETP-CONS-2))
 (4 4 (:REWRITE NTH-OF-TAKE))
 (4 4 (:REWRITE MEMBER-OF-CAR))
 (4 4 (:REWRITE LEN-OF-TAKE))
 (3 3 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (1 1 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55
 (17596 1 (:DEFINITION LOFAT-PLACE-FILE))
 (6119 16 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (5274 58 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (4414 155 (:REWRITE ZP-OPEN))
 (3625 30 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (3235 77 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (3146 169 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (2700 176 (:REWRITE NFIX-WHEN-ZP))
 (2564 176 (:REWRITE NFIX-WHEN-NATP))
 (2499 61 (:DEFINITION NATP))
 (2462 260 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (2396 6 (:REWRITE LEN-OF-NATS=>CHARS))
 (2390 6 (:REWRITE LEN-OF-INSERT-D-E))
 (2370 18 (:REWRITE EFFECTIVE-FAT-OF-UPDATE-FATI))
 (2240 168 (:DEFINITION FIND-D-E))
 (2218 30 (:REWRITE LENGTH-WHEN-STRINGP))
 (2104 16 (:REWRITE UPDATE-FATI-OF-UPDATE-FATI-COINCIDENT))
 (2036 6 (:REWRITE LEN-OF-PLACE-D-E))
 (1615 4 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (1590 260 (:DEFINITION MIN))
 (1508 136 (:DEFINITION LEN))
 (1489 113 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (1456 12 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (1431 1431 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (1398 14 (:REWRITE NTH-OF-NATS=>CHARS))
 (1295 842 (:REWRITE DEFAULT-<-1))
 (1264 1264 (:TYPE-PRESCRIPTION LEN))
 (1223 16 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (1144 110 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (1135 842 (:REWRITE DEFAULT-<-2))
 (1114 198 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1082 75 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (1016 20 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (983 523 (:REWRITE DEFAULT-+-2))
 (966 14 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (958 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (878 77 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (854 854 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (854 362 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (748 92 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (706 14 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (706 4 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (698 178 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (675 381 (:REWRITE DEFAULT-CDR))
 (668 523 (:REWRITE DEFAULT-+-1))
 (660 102 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (660 20 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (658 14 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (650 14 (:REWRITE DEFAULT-CODE-CHAR))
 (576 68 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (560 12 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (534 30 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (513 513 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (511 6 (:DEFINITION FREE-INDEX-LISTP))
 (507 85 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (480 480 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (476 14 (:REWRITE TAKE-OF-LEN-FREE))
 (451 53 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (432 12 (:REWRITE DELETE-D-E-CORRECTNESS-1))
 (415 9 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (392 4 (:DEFINITION DELETE-D-E))
 (364 14 (:REWRITE NATS=>CHARS-OF-TAKE))
 (348 245 (:REWRITE DEFAULT-CAR))
 (344 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (337 85 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (335 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (305 49 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (300 4 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 (287 6 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (285 27 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (281 57 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (277 277 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (273 117 (:REWRITE NTH-WHEN-D-E-P . 2))
 (264 264 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (258 86 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (243 3 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (221 221 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (215 43 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (210 210 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (203 1 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (201 201 (:TYPE-PRESCRIPTION NAT-LISTP))
 (198 66 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (198 66 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (187 75 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (183 11 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (180 6 (:DEFINITION PLACE-D-E))
 (175 5 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (173 173 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (172 71 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (168 168 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (161 18 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (160 4 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (156 47 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (150 150 (:TYPE-PRESCRIPTION LOFAT-FILE-FIX$INLINE))
 (146 146 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (140 140 (:TYPE-PRESCRIPTION ZP))
 (132 132 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (132 7 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (130 52 (:REWRITE STR::CONSP-OF-EXPLODE))
 (120 19 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (120 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (118 16 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (118 3 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (104 32 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (101 53 (:REWRITE NTH-WHEN-D-E-P . 3))
 (101 30 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (100 100 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (100 100 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-8))
 (98 98 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (97 97 (:TYPE-PRESCRIPTION LOFAT-DIRECTORY-FILE-P))
 (96 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (93 48 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (92 28 (:REWRITE DEFAULT-*-2))
 (90 90 (:TYPE-PRESCRIPTION LOFAT-REGULAR-FILE-P))
 (89 9 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (88 88 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (87 87 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (86 86 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (85 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (82 30 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (80 12 (:DEFINITION ASSOC-EQUAL))
 (79 79 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (78 78 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (78 6 (:REWRITE DISTRIBUTIVITY))
 (76 52 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (74 74 (:TYPE-PRESCRIPTION ATOM))
 (74 9 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (73 73 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (73 3 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (71 31 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (70 5 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (68 3 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (66 66 (:REWRITE D-E-P-OF-D-E-FIX))
 (66 66 (:LINEAR POSITION-WHEN-MEMBER))
 (66 66 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (64 20 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (64 4 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-23))
 (61 61 (:TYPE-PRESCRIPTION NATP))
 (56 56 (:REWRITE LOFAT-FILE-P-OF-LOFAT-FILE-FIX))
 (56 44 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (56 14 (:REWRITE TAKE-WHEN-ATOM))
 (55 3 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (55 3 (:REWRITE CONSP-OF-LAST))
 (52 52 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 (45 45 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (42 20 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (42 6 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (37 37 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (36 18 (:REWRITE FAT32-UPDATE-LOWER-28-CORRECTNESS-1 . 1))
 (36 15 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (34 34 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (34 22 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (33 33 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (33 1 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (32 32 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (30 30 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (30 28 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (29 29 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (29 29 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (28 28 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (28 28 (:REWRITE DEFAULT-*-1))
 (26 26 (:TYPE-PRESCRIPTION FAT32$C-P))
 (24 24 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (24 12 (:REWRITE FAT-LENGTH-OF-CLEAR-CC))
 (22 22 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (21 21 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (21 13 (:TYPE-PRESCRIPTION LAST))
 (18 18 (:TYPE-PRESCRIPTION LENGTH))
 (18 6 (:REWRITE NATS=>STRING-OF-STRING=>NATS))
 (17 17 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (17 3 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (16 16 (:TYPE-PRESCRIPTION LOFAT-PLACE-FILE-HELPER))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (14 14 (:REWRITE NTH-OF-TAKE))
 (14 14 (:REWRITE LEN-OF-TAKE))
 (13 13 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (13 1 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (12 12 (:TYPE-PRESCRIPTION DELETE-D-E))
 (12 12 (:REWRITE D-E-FILENAME-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (12 6 (:REWRITE STR-FIX-WHEN-STRINGP))
 (12 4 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (12 2 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (11 11 (:TYPE-PRESCRIPTION NATS=>STRING))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (10 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (10 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (9 9 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (9 3 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 8 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (8 8 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (8 8 (:REWRITE LOFAT-FILE->CONTENTS$INLINE-OF-LOFAT-FILE-FIX-X))
 (8 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (7 7 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (7 7 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (7 7 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (7 1 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (6 6 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (6 6 (:REWRITE EXPLODE-OF-NATS=>STRING))
 (6 6 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (6 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (6 1 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (5 5 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (5 3 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (5 1 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (4 4 (:TYPE-PRESCRIPTION NATP-OF-UPDATE-DIR-CONTENTS))
 (3 3 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (3 3 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (3 1 (:REWRITE UNICITY-OF-0))
 (3 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (2 2 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (2 2 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (2 2 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (2 1 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (1 1 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (1 1 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96
 (654 3 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (589 1 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 (415 37 (:DEFINITION FIND-D-E))
 (294 18 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (219 6 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (217 6 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (198 38 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (122 38 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (110 19 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (108 3 (:REWRITE DELETE-D-E-CORRECTNESS-1))
 (98 1 (:DEFINITION DELETE-D-E))
 (91 16 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (76 76 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (75 15 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (66 10 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (53 19 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (50 50 (:REWRITE DEFAULT-CAR))
 (49 49 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (47 39 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (44 44 (:REWRITE DEFAULT-CDR))
 (40 1 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (39 39 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (37 37 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (36 20 (:REWRITE DEFAULT-+-2))
 (30 30 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (30 30 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (30 30 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (26 8 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (25 20 (:REWRITE DEFAULT-+-1))
 (24 12 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (20 4 (:REWRITE NFIX-WHEN-NATP))
 (20 3 (:DEFINITION ASSOC-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION ZP))
 (16 4 (:REWRITE NFIX-WHEN-ZP))
 (16 4 (:REWRITE COMMUTATIVITY-OF-+))
 (16 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-23))
 (13 11 (:REWRITE DEFAULT-<-2))
 (12 11 (:REWRITE DEFAULT-<-1))
 (12 4 (:DEFINITION NATP))
 (10 10 (:TYPE-PRESCRIPTION FAT-ENTRY-COUNT))
 (9 9 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (8 8 (:TYPE-PRESCRIPTION LEN))
 (7 7 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (6 6 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (6 6 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:REWRITE ZP-OPEN))
 (4 4 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (4 2 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (3 3 (:TYPE-PRESCRIPTION DELETE-D-E))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40
 (250 10 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (132 16 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (112 11 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (100 12 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (91 91 (:REWRITE DEFAULT-CAR))
 (64 11 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (62 62 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (62 14 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (61 14 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (53 53 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (51 51 (:REWRITE DEFAULT-CDR))
 (48 16 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (48 8 (:DEFINITION ASSOC-EQUAL))
 (48 3 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (44 11 (:REWRITE SUBSETP-CAR-MEMBER))
 (43 6 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (38 14 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (33 13 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (28 28 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (27 11 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-P))
 (23 23 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (22 22 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (22 22 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (21 3 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (16 16 (:TYPE-PRESCRIPTION ZP))
 (16 16 (:TYPE-PRESCRIPTION LEN))
 (15 5 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (13 2 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (12 3 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (11 11 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (11 11 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (11 11 (:REWRITE MEMBER-WHEN-ATOM))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 3))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 2))
 (10 1 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (2 1 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-16)
(LOFAT-PLACE-FILE-SPEC-1)
(LOFAT-PLACE-FILE-SPEC-2)
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-6
 (30 5 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (19 19 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (18 6 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (15 12 (:REWRITE DEFAULT-<-2))
 (12 12 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (12 12 (:REWRITE DEFAULT-<-1))
 (9 3 (:DEFINITION NATP))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (4 4 (:REWRITE ZP-OPEN))
 (4 2 (:REWRITE DEFAULT-CDR))
 (4 2 (:REWRITE DEFAULT-CAR))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-70
 (30 5 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (21 21 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (21 7 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (19 15 (:REWRITE DEFAULT-<-2))
 (15 15 (:REWRITE DEFAULT-<-1))
 (14 14 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (12 4 (:DEFINITION NATP))
 (10 10 (:TYPE-PRESCRIPTION ZP))
 (5 5 (:REWRITE ZP-OPEN))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 2 (:REWRITE DEFAULT-CDR))
 (4 2 (:REWRITE DEFAULT-CAR))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-25
 (35919 62 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (35455 36 (:REWRITE CONSP-OF-MAKE-LIST-AC))
 (20683 1393 (:DEFINITION FIND-D-E))
 (19884 144 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-2))
 (11281 1699 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (9039 153 (:DEFINITION PLACE-D-E))
 (7730 1546 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (7433 2989 (:REWRITE DEFAULT-CDR))
 (6393 593 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (5816 890 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (5462 2640 (:REWRITE DEFAULT-+-2))
 (5403 1699 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (4253 1648 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3892 86 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (3720 43 (:DEFINITION FREE-INDEX-LISTP))
 (3560 3560 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (3474 210 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (3226 202 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (3215 2640 (:REWRITE DEFAULT-+-1))
 (2662 43 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (2424 2199 (:REWRITE DEFAULT-CAR))
 (2369 1495 (:REWRITE DEFAULT-<-2))
 (2356 1151 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (2125 366 (:REWRITE NFIX-WHEN-ZP))
 (2036 366 (:REWRITE NFIX-WHEN-NATP))
 (1832 146 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (1688 689 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (1648 1648 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1571 1495 (:REWRITE DEFAULT-<-1))
 (1456 52 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 3))
 (1404 52 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 2))
 (1402 72 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-3))
 (1334 646 (:REWRITE DEFAULT-*-2))
 (1311 1311 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (1237 331 (:DEFINITION NATP))
 (1225 1225 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (1190 240 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (1120 145 (:REWRITE D-E-FILENAME-OF-MAKE-D-E-WITH-FILENAME))
 (1071 153 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (1035 345 (:REWRITE SUBSETP-CAR-MEMBER))
 (996 332 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (962 962 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (921 921 (:TYPE-PRESCRIPTION ZP))
 (812 646 (:REWRITE DEFAULT-*-1))
 (688 688 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (568 112 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (544 216 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (516 172 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (516 172 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (508 508 (:TYPE-PRESCRIPTION STRINGP-OF-IMPLODE))
 (459 153 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (402 148 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (345 345 (:REWRITE MEMBER-OF-CAR))
 (344 344 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (332 332 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (331 331 (:TYPE-PRESCRIPTION NATP))
 (330 72 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (322 22 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (317 25 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (312 104 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (281 86 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (280 280 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (270 114 (:REWRITE DEFAULT-UNARY-MINUS))
 (260 52 (:DEFINITION UNSIGNED-BYTE-P))
 (258 258 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (232 112 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (215 215 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (208 52 (:DEFINITION INTEGER-RANGE-P))
 (174 58 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (172 172 (:TYPE-PRESCRIPTION FAT32$C-P))
 (172 172 (:LINEAR POSITION-WHEN-MEMBER))
 (172 172 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (172 43 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (170 62 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (157 157 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (156 52 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (153 153 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (118 118 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (118 118 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (104 104 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (104 104 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (100 20 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT))
 (92 26 (:REWRITE LOFAT-REGULAR-FILE-P-CORRECTNESS-2))
 (86 86 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (86 86 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (72 72 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (71 30 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-2))
 (66 66 (:TYPE-PRESCRIPTION LOFAT-FILE-FIX$INLINE))
 (52 52 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (43 43 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (33 33 (:REWRITE LOFAT-FILE-P-OF-LOFAT-FILE-FIX))
 (30 10 (:REWRITE INTERSECTP-OF-SELF))
 (16 16 (:REWRITE FIND-D-E-CORRECTNESS-1))
 (10 10 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (6 6 (:REWRITE D-E-CC-UNDER-IFF . 2))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-214
 (150758 13 (:DEFINITION LOFAT-PLACE-FILE))
 (41926 400 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (38754 128 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (37102 1235 (:REWRITE ZP-OPEN))
 (31459 465 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (31148 78 (:REWRITE LEN-OF-NATS=>CHARS))
 (31070 78 (:REWRITE LEN-OF-INSERT-D-E))
 (29772 260 (:REWRITE LENGTH-WHEN-STRINGP))
 (27456 228 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (26468 78 (:REWRITE LEN-OF-PLACE-D-E))
 (23612 1292 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (20530 1996 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (20114 1222 (:REWRITE NFIX-WHEN-NATP))
 (20026 1222 (:REWRITE NFIX-WHEN-ZP))
 (19910 370 (:DEFINITION NATP))
 (16952 132 (:REWRITE EFFECTIVE-FAT-OF-UPDATE-FATI))
 (16640 128 (:REWRITE UPDATE-FATI-OF-UPDATE-FATI-COINCIDENT))
 (14836 52 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (14732 1072 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (14134 142 (:REWRITE NTH-OF-NATS=>CHARS))
 (14126 1228 (:DEFINITION LEN))
 (12216 1996 (:DEFINITION MIN))
 (11520 96 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (11122 11122 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (10972 160 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (10890 10890 (:TYPE-PRESCRIPTION LEN))
 (10540 620 (:DEFINITION FIND-D-E))
 (10330 6755 (:REWRITE DEFAULT-<-1))
 (10194 112 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (9798 142 (:REWRITE EXPLODE-OF-D-E-FILENAME))
 (9363 6755 (:REWRITE DEFAULT-<-2))
 (8780 844 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (8662 8662 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-FIX))
 (8320 576 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (7752 3991 (:REWRITE DEFAULT-+-2))
 (7636 2764 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (7568 48 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (7270 465 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (7138 142 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (6674 142 (:REWRITE STR::EQUAL-OF-CODE-CODE-AND-CONSTANT))
 (6570 142 (:REWRITE DEFAULT-CODE-CHAR))
 (5600 32 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (5546 918 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (5151 865 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (5079 2329 (:REWRITE DEFAULT-CDR))
 (5035 3991 (:REWRITE DEFAULT-+-1))
 (5028 780 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (4844 148 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (4828 142 (:REWRITE TAKE-OF-LEN-FREE))
 (4708 800 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-8))
 (4704 168 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (4601 4601 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (4495 465 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (3692 142 (:REWRITE NATS=>CHARS-OF-TAKE))
 (3490 698 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (3421 865 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (3016 416 (:REWRITE STR::CONSP-OF-EXPLODE))
 (2688 2688 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (2677 2677 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (2577 219 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (2484 776 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (2472 2472 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2406 1002 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2340 78 (:DEFINITION PLACE-D-E))
 (2124 708 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (2115 1059 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (2015 2015 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (2005 13 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (1966 1966 (:TYPE-PRESCRIPTION NAT-LISTP))
 (1932 309 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (1868 126 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (1854 618 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1854 618 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1822 770 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (1818 194 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (1754 1754 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (1709 844 (:REWRITE DEFAULT-CAR))
 (1608 1608 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (1587 1093 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (1532 260 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (1500 584 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1432 568 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (1400 40 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (1388 16 (:DEFINITION FREE-INDEX-LISTP))
 (1324 221 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1236 1236 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1116 16 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (1105 221 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1036 284 (:REWRITE DEFAULT-*-2))
 (1014 78 (:REWRITE DISTRIBUTIVITY))
 (1014 39 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (988 988 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (944 24 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (936 120 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (916 452 (:REWRITE NTH-WHEN-D-E-P . 3))
 (900 900 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (880 88 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (860 304 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (813 813 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (776 776 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (715 39 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (715 39 (:REWRITE CONSP-OF-LAST))
 (708 708 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (697 697 (:TYPE-PRESCRIPTION ZP))
 (680 24 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (676 13 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (658 658 (:REWRITE D-E-P-OF-D-E-FIX))
 (628 628 (:TYPE-PRESCRIPTION INTEGER-LISTP))
 (624 624 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (620 620 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (618 618 (:LINEAR POSITION-WHEN-MEMBER))
 (618 618 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (596 404 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (593 40 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (592 592 (:TYPE-PRESCRIPTION ATOM))
 (568 142 (:REWRITE TAKE-WHEN-ATOM))
 (560 560 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (546 78 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (522 41 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (500 16 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (493 40 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (492 140 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (468 468 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (455 455 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (434 31 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (416 328 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (405 405 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 (370 370 (:TYPE-PRESCRIPTION NATP))
 (338 140 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (336 160 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (296 296 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (284 284 (:TYPE-PRESCRIPTION CODE-CHAR-TYPE))
 (284 284 (:REWRITE DEFAULT-*-1))
 (273 169 (:TYPE-PRESCRIPTION LAST))
 (264 132 (:REWRITE FAT32-UPDATE-LOWER-28-CORRECTNESS-1 . 1))
 (244 244 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (234 78 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (234 78 (:REWRITE NATS=>STRING-OF-STRING=>NATS))
 (230 230 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (220 220 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (216 200 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-80))
 (208 208 (:TYPE-PRESCRIPTION FAT32$C-P))
 (184 92 (:REWRITE FAT-LENGTH-OF-CLEAR-CC))
 (171 29 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (168 168 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (162 162 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (156 156 (:REWRITE D-E-FILENAME-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (156 78 (:REWRITE STR-FIX-WHEN-STRINGP))
 (144 144 (:TYPE-PRESCRIPTION LENGTH))
 (143 143 (:TYPE-PRESCRIPTION NATS=>STRING))
 (142 142 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (142 142 (:REWRITE NTH-OF-TAKE))
 (142 142 (:REWRITE LEN-OF-TAKE))
 (137 137 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (130 130 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (128 128 (:TYPE-PRESCRIPTION LOFAT-PLACE-FILE-HELPER))
 (111 37 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (104 104 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (103 31 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (96 96 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (96 16 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (83 32 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (83 5 (:REWRITE D-E-CC-OF-LOFAT-PLACE-FILE-DISJOINT))
 (78 78 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (78 78 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (78 78 (:REWRITE EXPLODE-OF-NATS=>STRING))
 (78 78 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (78 13 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (77 29 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (65 13 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (64 64 (:TYPE-PRESCRIPTION MAKE-EMPTY-SUBDIR-CONTENTS))
 (64 64 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (60 16 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (56 8 (:REWRITE FOLD-CONSTS-IN-+))
 (55 5 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT))
 (52 52 (:TYPE-PRESCRIPTION NATP-OF-UPDATE-DIR-CONTENTS))
 (48 48 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (40 40 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (40 24 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (40 8 (:REWRITE INTERSECTP-OF-SELF))
 (36 16 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (34 6 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (31 31 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (31 31 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (31 31 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (31 31 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (31 31 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (31 31 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (31 31 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (31 31 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (30 5 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (26 26 (:TYPE-PRESCRIPTION NO-DUPLICATESP-EQUAL))
 (26 26 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (24 24 (:TYPE-PRESCRIPTION FAT32-ENTRY-LIST-P))
 (24 24 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (24 8 (:REWRITE UNICITY-OF-0))
 (19 19 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (17 17 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (17 17 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (16 16 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (16 16 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (16 8 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (13 13 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (13 13 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (10 10 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE))
 (10 10 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (10 5 (:REWRITE D-E-CC-CORRECTNESS-1))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (5 5 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-226
 (2222 246 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (1938 255 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1895 64 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (1850 147 (:REWRITE ZP-OPEN))
 (1767 32 (:DEFINITION FREE-INDEX-LISTP))
 (1733 183 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (1488 109 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (1201 32 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (1016 48 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT))
 (920 920 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (687 687 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (564 390 (:REWRITE DEFAULT-<-2))
 (563 17 (:REWRITE D-E-CC-OF-LOFAT-PLACE-FILE-DISJOINT))
 (478 92 (:REWRITE NFIX-WHEN-ZP))
 (433 109 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (431 111 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (430 164 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (410 92 (:REWRITE NFIX-WHEN-NATP))
 (403 390 (:REWRITE DEFAULT-<-1))
 (401 305 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (396 111 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (360 140 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (357 135 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (349 164 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (325 65 (:REWRITE INTERSECTP-OF-SELF))
 (325 17 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (288 48 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (232 60 (:DEFINITION NATP))
 (227 162 (:REWRITE DEFAULT-CAR))
 (224 224 (:TYPE-PRESCRIPTION NATP-OF-LOFAT-PLACE-FILE))
 (222 222 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (219 154 (:REWRITE DEFAULT-CDR))
 (216 54 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (205 111 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (192 192 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (192 124 (:REWRITE DEFAULT-+-2))
 (180 124 (:REWRITE DEFAULT-+-1))
 (175 175 (:TYPE-PRESCRIPTION ZP))
 (160 160 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (147 111 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (127 111 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (123 111 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (111 111 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (111 111 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (109 109 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (109 109 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (109 109 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (96 96 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (79 18 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (71 32 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (63 9 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-65))
 (60 60 (:TYPE-PRESCRIPTION NATP))
 (54 54 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (44 22 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (36 36 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (34 17 (:REWRITE D-E-CC-CORRECTNESS-1))
 (33 33 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (32 32 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (32 32 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (32 32 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (30 4 (:REWRITE SUBSETP-OF-CONS))
 (28 28 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (27 6 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (12 12 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (12 12 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (8 8 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:REWRITE FLATTEN-EQUIV-OF-CONS-WHEN-ATOM))
 (4 2 (:REWRITE MEMBER-OF-CONS))
 )
(INDUCTION-SCHEME)
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-114
 (37333 1328 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-4))
 (30132 372 (:DEFINITION HIFAT-ENTRY-COUNT))
 (13072 198 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (11303 581 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (10623 8 (:REWRITE SUBSETP-OF-CONS))
 (9199 465 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (8226 237 (:DEFINITION FREE-INDEX-LISTP))
 (6841 3768 (:REWRITE DEFAULT-+-2))
 (5517 3768 (:REWRITE DEFAULT-+-1))
 (4982 237 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (3720 744 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (2999 2863 (:REWRITE DEFAULT-CAR))
 (2976 744 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2976 744 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (2976 744 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (2408 344 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2275 213 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (1860 372 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1737 927 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (1542 1389 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1438 225 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (1422 1422 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (1202 1004 (:REWRITE DEFAULT-<-2))
 (1191 1004 (:REWRITE DEFAULT-<-1))
 (1185 1185 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (1183 241 (:DEFINITION NFIX))
 (1116 372 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (833 833 (:REWRITE FOLD-CONSTS-IN-+))
 (824 16 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-83))
 (744 744 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (744 744 (:TYPE-PRESCRIPTION M1-FILE-P))
 (744 744 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (744 744 (:TYPE-PRESCRIPTION LEN))
 (744 744 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (744 744 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (744 744 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (531 531 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (403 131 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (374 179 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (372 372 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (368 62 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (284 284 (:REWRITE INTERSECTP-OF-SELF))
 (279 237 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (243 174 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (200 179 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (177 177 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (174 174 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (174 174 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (174 174 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (174 174 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (174 174 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (174 174 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (174 174 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (174 174 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (174 174 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (174 174 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (131 131 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (86 43 (:REWRITE DEFAULT-UNARY-MINUS))
 (64 22 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (42 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (16 4 (:REWRITE MEMBER-OF-CONS))
 (16 2 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (10 10 (:REWRITE FIND-D-E-CORRECTNESS-1))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-94
 (2378 29 (:DEFINITION HIFAT-ENTRY-COUNT))
 (467 256 (:REWRITE DEFAULT-+-2))
 (374 256 (:REWRITE DEFAULT-+-1))
 (327 60 (:REWRITE COMMUTATIVITY-OF-+))
 (290 58 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (290 29 (:REWRITE COMMUTATIVITY-2-OF-+))
 (261 58 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (232 58 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (232 58 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (187 181 (:REWRITE DEFAULT-CDR))
 (181 5 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (153 5 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (145 29 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (144 138 (:REWRITE DEFAULT-CAR))
 (130 2 (:DEFINITION FREE-INDEX-LISTP))
 (116 116 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (90 2 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (87 29 (:REWRITE UNICITY-OF-0))
 (87 29 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (87 29 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (66 5 (:DEFINITION NOT-INTERSECTP-LIST))
 (58 58 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (58 58 (:TYPE-PRESCRIPTION M1-FILE-P))
 (58 58 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (58 58 (:TYPE-PRESCRIPTION LEN))
 (58 58 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (58 58 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (58 58 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (58 58 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (58 58 (:REWRITE FOLD-CONSTS-IN-+))
 (58 58 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (58 29 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (54 54 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (29 29 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (29 29 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (27 9 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (26 26 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (26 10 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (20 5 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (20 4 (:DEFINITION NATP))
 (18 14 (:REWRITE DEFAULT-<-1))
 (16 14 (:REWRITE DEFAULT-<-2))
 (12 12 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (12 4 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (10 10 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (10 10 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (10 2 (:DEFINITION NFIX))
 (9 2 (:REWRITE SUBSETP-CONS-2))
 (8 8 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (8 2 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (5 5 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3 3 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (3 3 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (2 2 (:REWRITE ZP-OPEN))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (1 1 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-84
 (405 27 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (364 15 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (324 27 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (289 12 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (168 168 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (162 27 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (123 45 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (122 2 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (99 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (96 20 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-4))
 (96 1 (:REWRITE SUBSETP-CONS-2))
 (94 1 (:REWRITE SUBSETP-OF-CONS))
 (82 22 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (74 74 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (73 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (70 12 (:REWRITE NFIX-WHEN-NATP))
 (54 54 (:TYPE-PRESCRIPTION D-E-P))
 (54 54 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (50 4 (:DEFINITION NATP))
 (46 46 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (41 41 (:REWRITE DEFAULT-CAR))
 (36 23 (:REWRITE DEFAULT-<-2))
 (33 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-38))
 (31 23 (:REWRITE DEFAULT-<-1))
 (28 10 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (27 27 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (27 27 (:REWRITE D-E-FILENAME-OF-D-E-FIX))
 (24 24 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (23 9 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (22 17 (:REWRITE DEFAULT-+-2))
 (20 4 (:DEFINITION NFIX))
 (19 17 (:REWRITE DEFAULT-+-1))
 (19 5 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (18 6 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (14 14 (:TYPE-PRESCRIPTION NFIX))
 (14 14 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (12 12 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (12 12 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (12 12 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (12 12 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (8 8 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 2 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (3 3 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3 3 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (3 3 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (2 2 (:REWRITE COUNT-OF-CLUSTERS-OF-LOFAT-PLACE-FILE))
 (2 2 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (2 2 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (1 1 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-100
 (18043 66 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (14019 471 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-4))
 (13527 167 (:DEFINITION HIFAT-ENTRY-COUNT))
 (6370 317 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (6056 13 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (6055 2 (:REWRITE SUBSETP-OF-CONS))
 (4373 13 (:REWRITE SUBSETP-CONS-2))
 (3623 75 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (3093 157 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (2979 1657 (:REWRITE DEFAULT-+-2))
 (2774 81 (:DEFINITION FREE-INDEX-LISTP))
 (2586 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-38))
 (2421 1657 (:REWRITE DEFAULT-+-1))
 (1703 81 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (1670 334 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (1670 167 (:REWRITE COMMUTATIVITY-2-OF-+))
 (1336 334 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1336 334 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1336 334 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1050 1004 (:REWRITE DEFAULT-CAR))
 (835 167 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (720 9 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (566 316 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (501 501 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (501 167 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (501 167 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (486 486 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (432 140 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (405 405 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (387 346 (:REWRITE DEFAULT-<-2))
 (367 346 (:REWRITE DEFAULT-<-1))
 (336 336 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (334 334 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (334 334 (:TYPE-PRESCRIPTION M1-FILE-P))
 (334 334 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (334 334 (:TYPE-PRESCRIPTION LEN))
 (334 334 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (334 334 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (334 334 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (334 334 (:REWRITE FOLD-CONSTS-IN-+))
 (334 334 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (266 81 (:DEFINITION NATP))
 (264 264 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (264 264 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (253 81 (:DEFINITION NFIX))
 (216 40 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (188 188 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (167 167 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (152 115 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (151 76 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (134 80 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (126 126 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (104 51 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (103 103 (:REWRITE INTERSECTP-OF-SELF))
 (96 81 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (81 81 (:TYPE-PRESCRIPTION NATP))
 (80 80 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (75 2 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (70 49 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (66 66 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (49 49 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (42 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (27 9 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (16 16 (:REWRITE FIND-D-E-CORRECTNESS-1))
 (12 1 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 2 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (4 1 (:REWRITE MEMBER-OF-CONS))
 (2 2 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (2 2 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-101
 (405 27 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (364 15 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (324 27 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (289 12 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (168 168 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (162 27 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (123 45 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (122 2 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (99 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (96 20 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-4))
 (96 1 (:REWRITE SUBSETP-CONS-2))
 (94 1 (:REWRITE SUBSETP-OF-CONS))
 (82 22 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (74 74 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (73 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (70 12 (:REWRITE NFIX-WHEN-NATP))
 (54 54 (:TYPE-PRESCRIPTION D-E-P))
 (54 54 (:REWRITE D-E-LIST-P-WHEN-SUBSETP-EQUAL))
 (50 4 (:DEFINITION NATP))
 (44 26 (:REWRITE DEFAULT-<-2))
 (41 41 (:REWRITE DEFAULT-CAR))
 (34 26 (:REWRITE DEFAULT-<-1))
 (34 24 (:REWRITE DEFAULT-+-2))
 (33 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-38))
 (28 24 (:REWRITE DEFAULT-+-1))
 (28 10 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-3))
 (27 27 (:REWRITE D-E-LIST-P-WHEN-NOT-CONSP))
 (27 27 (:REWRITE D-E-FILENAME-OF-D-E-FIX))
 (24 24 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (23 9 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (20 4 (:DEFINITION NFIX))
 (19 5 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (18 6 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (14 14 (:TYPE-PRESCRIPTION NFIX))
 (14 14 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (12 12 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (12 12 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (12 12 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (12 12 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (8 8 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 2 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (3 3 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (3 3 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (3 3 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (2 2 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (2 2 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (1 1 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-8
 (269908 864 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (182294 108921 (:REWRITE DEFAULT-+-2))
 (147891 108921 (:REWRITE DEFAULT-+-1))
 (107016 936 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (104592 68280 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (91056 936 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (83072 20863 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (79556 12 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS))
 (75724 6112 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (67864 2232 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (62294 42846 (:REWRITE DEFAULT-<-2))
 (58682 6054 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (53591 6112 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (53579 22237 (:REWRITE DEFAULT-CDR))
 (50437 42846 (:REWRITE DEFAULT-<-1))
 (49772 17236 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (42923 7108 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (42216 432 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (40820 520 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (34524 444 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (20303 3202 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (19165 923 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (18464 18464 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (11808 4 (:REWRITE D-E-CC-CONTENTS-OF-STOBJ-SET-INDICES-IN-FA-TABLE-DISJOINT))
 (11748 356 (:LINEAR COUNT-FREE-CLUSTERS-CORRECTNESS-1))
 (8893 985 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (8480 24 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (8166 4068 (:REWRITE DEFAULT-*-2))
 (8150 17 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (7629 3862 (:REWRITE DEFAULT-UNARY-MINUS))
 (7472 6488 (:REWRITE NTH-WHEN-D-E-P . 2))
 (5920 32 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-11))
 (5544 144 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (5124 4068 (:REWRITE DEFAULT-*-1))
 (4464 2232 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (4272 144 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-23))
 (4104 4104 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3513 1389 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (2772 2772 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-7))
 (2556 1278 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (2250 150 (:REWRITE SUBSETP-OF-CONS))
 (2245 2245 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (2168 588 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (2052 2052 (:LINEAR POSITION-WHEN-MEMBER))
 (2052 2052 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1805 1805 (:REWRITE INTERSECTP-MEMBER . 3))
 (1805 1805 (:REWRITE INTERSECTP-MEMBER . 2))
 (1219 513 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-226))
 (1164 36 (:REWRITE FATI-OF-PLACE-CONTENTS-DISJOINT))
 (1144 104 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (1083 1083 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (910 182 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE))
 (832 416 (:TYPE-PRESCRIPTION LAST))
 (828 4 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-9))
 (748 167 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (728 104 (:REWRITE CONSP-OF-LAST))
 (621 621 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (576 576 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (481 481 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (481 481 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (476 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-112))
 (398 398 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (380 380 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (328 328 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (328 328 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (312 87 (:REWRITE MEMBER-OF-CONS))
 (264 264 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-2))
 (240 240 (:TYPE-PRESCRIPTION PLACE-D-E))
 (240 15 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (216 24 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-3))
 (204 68 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (194 194 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (190 190 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (169 26 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (153 153 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (132 132 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (120 120 (:REWRITE D-E-LIST-P-OF-PLACE-D-E))
 (120 8 (:REWRITE LOFAT-FS-P-OF-UPDATE-DIR-CONTENTS))
 (120 4 (:REWRITE D-E-CC-OF-STOBJ-SET-INDICES-IN-FA-TABLE-DISJOINT))
 (108 36 (:REWRITE INTERSECTP-OF-SELF))
 (104 104 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (60 15 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (45 45 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (44 4 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (32 4 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (28 28 (:TYPE-PRESCRIPTION NATP-OF-FAT32-MASKED-ENTRY-FIX))
 (28 28 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-FIX))
 (17 17 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (15 15 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (12 4 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (8 8 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-9
 (5292 136 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (5122 394 (:DEFINITION FIND-D-E))
 (3154 256 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (2758 394 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2230 68 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (1970 394 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1582 16 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (1448 364 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (1182 394 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (1098 856 (:REWRITE DEFAULT-+-2))
 (958 856 (:REWRITE DEFAULT-+-1))
 (828 828 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (792 80 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (788 788 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (592 250 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (504 504 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (494 494 (:REWRITE DEFAULT-CDR))
 (442 16 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (412 412 (:REWRITE DEFAULT-CAR))
 (394 394 (:TYPE-PRESCRIPTION D-E-P))
 (394 394 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (307 227 (:REWRITE DEFAULT-<-2))
 (276 138 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (256 256 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (227 227 (:REWRITE DEFAULT-<-1))
 (204 102 (:REWRITE DEFAULT-UNARY-MINUS))
 (188 8 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (138 138 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (136 136 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (98 6 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (88 8 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (64 64 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (64 32 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (52 8 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (48 16 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (48 16 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (48 8 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (48 6 (:DEFINITION NOT-INTERSECTP-LIST))
 (40 40 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (40 20 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (36 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (32 32 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (20 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (16 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (16 4 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (12 12 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (12 4 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (8 8 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (6 6 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (4 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (4 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FLATTEN-EQUIV-OF-CONS-WHEN-ATOM))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-17
 (1442 24 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (1157 89 (:DEFINITION FIND-D-E))
 (858 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (649 61 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (623 89 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (590 20 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (445 89 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (267 89 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (178 178 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (176 18 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (168 168 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (152 64 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (148 38 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (135 111 (:REWRITE DEFAULT-+-2))
 (130 130 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (130 130 (:REWRITE DEFAULT-CDR))
 (121 111 (:REWRITE DEFAULT-+-1))
 (95 95 (:REWRITE DEFAULT-CAR))
 (94 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (89 89 (:TYPE-PRESCRIPTION D-E-P))
 (89 89 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (66 66 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (66 6 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (56 28 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (43 32 (:REWRITE DEFAULT-<-2))
 (36 6 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (32 32 (:REWRITE DEFAULT-<-1))
 (32 2 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (28 28 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (26 4 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (24 24 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (24 24 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (24 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (20 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (18 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (18 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (14 2 (:DEFINITION NOT-INTERSECTP-LIST))
 (12 12 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (12 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (8 8 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (8 2 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (6 6 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (6 2 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (4 4 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (4 4 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (4 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-62))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (4 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (2 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (2 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-10
 (6352 160 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (5850 450 (:DEFINITION FIND-D-E))
 (3610 292 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (3150 450 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2460 80 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (2404 28 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (2250 450 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1664 418 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (1350 450 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (1260 982 (:REWRITE DEFAULT-+-2))
 (1099 982 (:REWRITE DEFAULT-+-1))
 (948 948 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (932 28 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (900 900 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (872 88 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (672 286 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (576 576 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (562 562 (:REWRITE DEFAULT-CDR))
 (480 480 (:REWRITE DEFAULT-CAR))
 (450 450 (:TYPE-PRESCRIPTION D-E-P))
 (450 450 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (349 258 (:REWRITE DEFAULT-<-2))
 (316 158 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (292 292 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (258 258 (:REWRITE DEFAULT-<-1))
 (234 117 (:REWRITE DEFAULT-UNARY-MINUS))
 (188 8 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (160 160 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (158 158 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (156 12 (:DEFINITION NOT-INTERSECTP-LIST))
 (98 14 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (98 6 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (88 8 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (84 84 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (82 24 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (72 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (72 12 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (54 18 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (54 18 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (52 12 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (52 8 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (48 8 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (48 8 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (46 46 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (46 23 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (36 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (23 23 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (20 14 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (18 6 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (16 4 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (12 12 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (12 4 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (8 8 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (2 2 (:REWRITE FLATTEN-EQUIV-OF-CONS-WHEN-ATOM))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-113
 (1836 28 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (1288 10 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (1261 97 (:DEFINITION FIND-D-E))
 (737 65 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (679 97 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (626 24 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (485 97 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (291 97 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (194 194 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (192 192 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (176 18 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (168 72 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (148 38 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (146 146 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (141 117 (:REWRITE DEFAULT-+-2))
 (140 140 (:REWRITE DEFAULT-CDR))
 (127 117 (:REWRITE DEFAULT-+-1))
 (107 107 (:REWRITE DEFAULT-CAR))
 (97 97 (:TYPE-PRESCRIPTION D-E-P))
 (97 97 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (94 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (74 74 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (66 6 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (64 32 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (48 4 (:DEFINITION NOT-INTERSECTP-LIST))
 (45 34 (:REWRITE DEFAULT-<-2))
 (42 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (36 6 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (34 34 (:REWRITE DEFAULT-<-1))
 (34 8 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (32 32 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (32 2 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (28 28 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (28 28 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (26 4 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (24 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (24 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (24 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (24 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (20 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (18 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (18 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (14 14 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (12 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (10 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (8 2 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (6 2 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (6 2 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (4 4 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (4 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-62))
 (4 4 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (4 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-17))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-60
 (7524 760 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-4))
 (2930 29 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (2552 29 (:DEFINITION GOOD-ROOT-D-E-P))
 (1550 50 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (1210 305 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (718 376 (:REWRITE DEFAULT-<-2))
 (650 650 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (650 100 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (609 305 (:REWRITE DEFAULT-+-2))
 (538 28 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (529 376 (:REWRITE DEFAULT-<-1))
 (464 87 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (370 20 (:DEFINITION NOT-INTERSECTP-LIST))
 (337 305 (:REWRITE DEFAULT-+-1))
 (332 218 (:REWRITE DEFAULT-CAR))
 (290 40 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (266 38 (:REWRITE SUBSETP-CAR-MEMBER))
 (255 10 (:DEFINITION NFIX))
 (240 126 (:REWRITE DEFAULT-CDR))
 (232 232 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (212 98 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (203 203 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (165 101 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (160 160 (:TYPE-PRESCRIPTION NATP-OF-LOFAT-PLACE-FILE))
 (159 19 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (120 12 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (99 46 (:REWRITE DEFAULT-UNARY-MINUS))
 (84 14 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (80 20 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (68 34 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (65 10 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (56 56 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (44 22 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (40 40 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (39 39 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (39 39 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (39 39 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (38 38 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (38 38 (:REWRITE INTERSECTP-MEMBER . 3))
 (38 38 (:REWRITE INTERSECTP-MEMBER . 2))
 (27 27 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (15 15 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (14 14 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (14 14 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5 5 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-160
 (36655 322 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (29868 131 (:REWRITE HIFAT-ENTRY-COUNT-OF-HIFAT-PLACE-FILE))
 (23758 333 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (21484 262 (:REWRITE M1-REGULAR-FILE-P-OF-M1-FILE))
 (17292 1572 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-8))
 (15286 95 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (15176 296 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (14672 524 (:REWRITE M1-FILE-CONTENTS-FIX-WHEN-M1-FILE-CONTENTS-P))
 (13624 524 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (11004 131 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (10218 786 (:REWRITE LENGTH-WHEN-STRINGP))
 (7433 297 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (6324 3154 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (6292 1574 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (6288 1572 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (3275 3275 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (3160 3160 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (2262 711 (:REWRITE DEFAULT-<-2))
 (1965 1965 (:TYPE-PRESCRIPTION HIFAT-PLACE-FILE-CORRECTNESS-1 . 2))
 (1668 24 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (1572 1572 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (1525 397 (:REWRITE DEFAULT-+-2))
 (1179 1179 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (916 32 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (786 786 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-1))
 (786 786 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (786 131 (:REWRITE UNICITY-OF-0))
 (754 711 (:REWRITE DEFAULT-<-1))
 (686 26 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (655 131 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (536 397 (:REWRITE DEFAULT-+-1))
 (524 524 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (390 390 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (374 60 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (292 146 (:REWRITE DEFAULT-UNARY-MINUS))
 (283 17 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (275 14 (:DEFINITION NOT-INTERSECTP-LIST))
 (263 31 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (262 262 (:TYPE-PRESCRIPTION M1-FILE))
 (262 262 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (262 131 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (188 27 (:REWRITE SUBSETP-CAR-MEMBER))
 (174 90 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (161 83 (:REWRITE DEFAULT-CDR))
 (136 136 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (136 136 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (131 131 (:TYPE-PRESCRIPTION M1-FILE-P))
 (131 131 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-6))
 (131 131 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (118 118 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (85 11 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (80 80 (:TYPE-PRESCRIPTION NATP-OF-LOFAT-PLACE-FILE))
 (72 39 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (49 49 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (47 14 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (45 5 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (43 28 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (27 27 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (27 27 (:REWRITE INTERSECTP-MEMBER . 3))
 (27 27 (:REWRITE INTERSECTP-MEMBER . 2))
 (26 4 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (24 4 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (20 20 (:REWRITE FOLD-CONSTS-IN-+))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (16 2 (:DEFINITION NFIX))
 (16 1 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (14 14 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (4 1 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-161
 (2623 453 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-4))
 (1037 198 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (612 9 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (478 24 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (465 15 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (430 12 (:DEFINITION FREE-INDEX-LISTP))
 (272 173 (:REWRITE DEFAULT-+-2))
 (270 12 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (269 181 (:REWRITE DEFAULT-<-2))
 (250 181 (:REWRITE DEFAULT-<-1))
 (200 173 (:REWRITE DEFAULT-+-1))
 (196 13 (:DEFINITION NOT-INTERSECTP-LIST))
 (195 195 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (195 30 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (195 27 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (188 50 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (152 125 (:REWRITE DEFAULT-CAR))
 (135 63 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (121 91 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (110 50 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (96 49 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (95 68 (:REWRITE DEFAULT-CDR))
 (86 60 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (84 1 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (77 7 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (72 72 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (72 72 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (60 60 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (56 14 (:DEFINITION NFIX))
 (49 7 (:REWRITE SUBSETP-CAR-MEMBER))
 (48 24 (:REWRITE DEFAULT-UNARY-MINUS))
 (42 7 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (39 6 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (38 16 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (37 13 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (30 9 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (18 12 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (13 13 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (7 7 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (7 7 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (7 7 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 3))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-6))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (1 1 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (1 1 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-163
 (82 3 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (70 3 (:REWRITE ZP-OPEN))
 (36 36 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (29 16 (:REWRITE DEFAULT-+-2))
 (28 6 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (21 3 (:REWRITE SUBSETP-CAR-MEMBER))
 (19 16 (:REWRITE DEFAULT-+-1))
 (18 11 (:REWRITE DEFAULT-<-2))
 (16 7 (:REWRITE DEFAULT-CAR))
 (15 6 (:REWRITE DEFAULT-CDR))
 (13 11 (:REWRITE DEFAULT-<-1))
 (12 3 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (6 6 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION ZP))
 (3 3 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-165
 (84 41 (:REWRITE DEFAULT-+-2))
 (55 5 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (45 41 (:REWRITE DEFAULT-+-1))
 (31 31 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-4))
 (30 5 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (28 8 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (26 4 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (25 25 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (25 25 (:REWRITE DEFAULT-CAR))
 (21 7 (:REWRITE DEFAULT-UNARY-MINUS))
 (21 7 (:REWRITE DEFAULT-<-1))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (18 6 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (14 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (12 7 (:REWRITE DEFAULT-<-2))
 (9 9 (:REWRITE FOLD-CONSTS-IN-+))
 (9 3 (:DEFINITION NATP))
 (8 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-163))
 (5 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (4 4 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 4 (:REWRITE DEFAULT-CDR))
 (4 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-6))
 (2 2 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-167
 (1218154 736421 (:REWRITE DEFAULT-+-2))
 (999498 736421 (:REWRITE DEFAULT-+-1))
 (915000 7932 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (350581 33465 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (343539 369 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS))
 (249100 154267 (:REWRITE DEFAULT-<-2))
 (223000 55991 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (221323 4880 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (211648 154267 (:REWRITE DEFAULT-<-1))
 (177009 177009 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (174788 222 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (162973 147650 (:REWRITE DEFAULT-CDR))
 (141144 7782 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (131939 24628 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (104929 54180 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (101633 63983 (:REWRITE NTH-WHEN-D-E-P . 2))
 (96016 29926 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (67660 112 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-112))
 (54830 1661 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (42307 33067 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (41436 6942 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-1))
 (35352 36 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (33067 33067 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (33067 33067 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (33067 33067 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (33067 33067 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (33067 33067 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (33067 33067 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (33067 33067 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (33067 33067 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (33067 33067 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (33067 33067 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (24990 510 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-26))
 (23953 23953 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-7))
 (16802 8386 (:REWRITE DEFAULT-*-2))
 (16247 8191 (:REWRITE DEFAULT-UNARY-MINUS))
 (15593 537 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (14210 14210 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (13312 13312 (:REWRITE INTERSECTP-MEMBER . 3))
 (13312 13312 (:REWRITE INTERSECTP-MEMBER . 2))
 (13250 1325 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-2))
 (11461 11461 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (9582 8386 (:REWRITE DEFAULT-*-1))
 (9478 315 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7105 7105 (:LINEAR POSITION-WHEN-MEMBER))
 (7105 7105 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6320 158 (:REWRITE NON-FREE-INDEX-LISTP-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS))
 (6300 105 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (4536 36 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (3253 3253 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-2))
 (3167 137 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (3066 3066 (:TYPE-PRESCRIPTION PLACE-D-E))
 (2362 1181 (:REWRITE FAT-LENGTH-OF-CLEAR-CC))
 (2290 1145 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (1950 130 (:REWRITE SUBSETP-OF-CONS))
 (1927 1927 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (1755 1755 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (1533 1533 (:REWRITE D-E-LIST-P-OF-PLACE-D-E))
 (964 964 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (945 315 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (944 84 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (880 80 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (816 51 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (773 773 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (760 40 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (750 150 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE))
 (745 745 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (745 745 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (743 27 (:REWRITE LEN-UPDATE-NTH))
 (714 210 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (690 31 (:REWRITE FATI-WHEN-LOFAT-FS-P . 1))
 (684 290 (:REWRITE INTERSECTP-OF-SELF))
 (640 320 (:TYPE-PRESCRIPTION LAST))
 (610 610 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (610 610 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (595 17 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-APPEND))
 (560 80 (:REWRITE CONSP-OF-LAST))
 (543 543 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (482 482 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (420 52 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (395 180 (:REWRITE MEMBER-OF-CONS))
 (352 31 (:REWRITE FAT-LENGTH-OF-PLACE-CONTENTS))
 (315 315 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (265 265 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (252 36 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 5))
 (210 210 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (210 210 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (210 210 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (204 51 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (153 153 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (135 135 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (105 105 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (102 34 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (100 100 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (86 86 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (81 27 (:DEFINITION MAX))
 (80 80 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (56 56 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-62))
 (51 51 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (40 40 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (31 31 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (6 2 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-85
 (21558 482 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-165))
 (18644 184 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (8816 36 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (7908 4606 (:REWRITE DEFAULT-+-2))
 (5222 4606 (:REWRITE DEFAULT-+-1))
 (5200 400 (:DEFINITION FIND-D-E))
 (2880 276 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (2800 400 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2728 1164 (:REWRITE DEFAULT-<-1))
 (2660 608 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (2224 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (2000 400 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1880 472 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (1520 1520 (:REWRITE FOLD-CONSTS-IN-+))
 (1488 186 (:DEFINITION NFIX))
 (1454 1164 (:REWRITE DEFAULT-<-2))
 (1428 1428 (:REWRITE DEFAULT-CAR))
 (1200 400 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (1164 582 (:REWRITE DEFAULT-UNARY-MINUS))
 (1010 1010 (:REWRITE DEFAULT-CDR))
 (998 62 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (930 300 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (800 800 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (744 744 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (458 350 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (404 352 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (400 400 (:TYPE-PRESCRIPTION D-E-P))
 (400 400 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (248 124 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (184 184 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (156 12 (:DEFINITION NOT-INTERSECTP-LIST))
 (128 8 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (124 124 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (98 14 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (92 92 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (88 8 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (82 24 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (80 40 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (76 16 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (64 12 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (60 20 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (60 20 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-25))
 (60 20 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (52 52 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (52 26 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (52 8 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (48 8 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (46 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (30 30 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (26 26 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (26 8 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (20 2 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$-2))
 (18 6 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (16 16 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (12 4 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (8 8 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (8 8 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (8 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (4 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (2 2 (:REWRITE SUBSETP-REFL))
 (2 2 (:REWRITE FLATTEN-EQUIV-OF-CONS-WHEN-ATOM))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-179
 (6576 34 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (5278 14 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (3345 75 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-165))
 (1846 32 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (1339 103 (:DEFINITION FIND-D-E))
 (1249 43 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (1227 729 (:REWRITE DEFAULT-+-2))
 (814 729 (:REWRITE DEFAULT-+-1))
 (783 69 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (721 103 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (515 103 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (464 164 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (456 194 (:REWRITE DEFAULT-<-1))
 (434 8 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (309 103 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (294 2 (:REWRITE SUBSETP-CONS-2))
 (288 36 (:DEFINITION NFIX))
 (277 277 (:REWRITE DEFAULT-CAR))
 (270 2 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$-2))
 (246 2 (:REWRITE NOT-INTERSECTP-OF-SET-DIFFERENCE$-WHEN-SUBSETP-1 . 2))
 (241 241 (:REWRITE FOLD-CONSTS-IN-+))
 (241 194 (:REWRITE DEFAULT-<-2))
 (240 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-38))
 (227 227 (:REWRITE DEFAULT-CDR))
 (206 206 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (204 204 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (178 89 (:REWRITE DEFAULT-UNARY-MINUS))
 (172 80 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (168 16 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (148 38 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (103 103 (:TYPE-PRESCRIPTION D-E-P))
 (103 103 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (84 84 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (68 34 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (66 6 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (62 4 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (48 4 (:DEFINITION NOT-INTERSECTP-LIST))
 (42 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (42 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (36 36 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (36 6 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (34 34 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (34 34 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (34 8 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (32 6 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (32 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (28 28 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (26 4 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (24 24 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (24 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (22 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (18 18 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (18 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (18 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-25))
 (18 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (16 4 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (14 14 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (12 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (12 4 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (12 2 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$-WHEN-SUBSETP))
 (8 8 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (8 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-62))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (6 6 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (6 2 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (4 4 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (4 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (4 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-17))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-113))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-12
 (217482 392 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-165))
 (210163 114258 (:REWRITE DEFAULT-+-2))
 (165739 114258 (:REWRITE DEFAULT-+-1))
 (97152 24300 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (97104 24276 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (88640 83058 (:REWRITE DEFAULT-CDR))
 (63000 58819 (:REWRITE DEFAULT-CAR))
 (54944 797 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (50167 12385 (:REWRITE SUBSETP-CAR-MEMBER))
 (35192 1503 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (32165 288 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (24666 24666 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (24276 24276 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (20513 12426 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (19323 15639 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (18195 18195 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (17845 13517 (:REWRITE DEFAULT-<-1))
 (17752 13517 (:REWRITE DEFAULT-<-2))
 (14607 607 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (13885 6154 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (12623 139 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-27))
 (9018 9018 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (6220 1809 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (5319 27 (:REWRITE HIFAT-ENTRY-COUNT-OF-HIFAT-PLACE-FILE))
 (4705 1892 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (3650 210 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (3586 1793 (:REWRITE DEFAULT-UNARY-MINUS))
 (2514 1503 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (2455 1558 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (2053 837 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (1959 151 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 (1892 1892 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (1414 776 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (1240 67 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-7))
 (1229 631 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (1228 72 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (1176 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-62))
 (1068 1068 (:REWRITE INTERSECTP-OF-SELF))
 (894 35 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (675 675 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (661 19 (:DEFINITION STRIP-CARS))
 (606 606 (:REWRITE FIND-D-E-CORRECTNESS-1))
 (596 294 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (524 146 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (400 40 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (372 8 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (330 330 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (330 330 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (287 287 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (287 287 (:REWRITE INTERSECTP-MEMBER . 3))
 (287 287 (:REWRITE INTERSECTP-MEMBER . 2))
 (245 245 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (225 225 (:TYPE-PRESCRIPTION DELETE-D-E))
 (210 5 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE))
 (198 198 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (151 151 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (147 9 (:REWRITE SUBSETP-OF-CONS))
 (146 146 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (123 32 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (72 72 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-3))
 (72 72 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-1))
 (54 54 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (54 27 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (42 42 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (42 21 (:REWRITE DEFAULT-*-2))
 (36 36 (:TYPE-PRESCRIPTION STRIP-CARS))
 (32 32 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (27 27 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (26 26 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (26 6 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (24 8 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (24 6 (:REWRITE MEMBER-OF-CONS))
 (21 21 (:REWRITE DEFAULT-*-1))
 (21 21 (:LINEAR POSITION-WHEN-MEMBER))
 (21 21 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (16 16 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (8 2 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (2 2 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-182
 (184038 2252 (:DEFINITION HIFAT-ENTRY-COUNT))
 (35280 19126 (:REWRITE DEFAULT-+-2))
 (33122 150 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (28310 19126 (:REWRITE DEFAULT-+-1))
 (25068 4578 (:REWRITE COMMUTATIVITY-OF-+))
 (22542 112 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (22520 4504 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (22520 2252 (:REWRITE COMMUTATIVITY-2-OF-+))
 (20888 178 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (19682 4504 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (18016 4504 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (18016 4504 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (16770 48 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (14658 14658 (:REWRITE DEFAULT-CDR))
 (11260 2252 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (10072 10072 (:REWRITE DEFAULT-CAR))
 (8966 248 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (8072 8072 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (7722 248 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (7254 558 (:DEFINITION FIND-D-E))
 (6756 2252 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6756 2252 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (6296 80 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (6290 74 (:DEFINITION FREE-INDEX-LISTP))
 (6235 4411 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (5878 8 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (5362 74 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (4504 4504 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4504 4504 (:TYPE-PRESCRIPTION LEN))
 (4504 4504 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (4504 4504 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4504 4504 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4504 4504 (:REWRITE FOLD-CONSTS-IN-+))
 (4504 4504 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3906 558 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (3796 348 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (3568 148 (:DEFINITION NATP))
 (2992 278 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (2886 74 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (2790 558 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (2322 242 (:DEFINITION NOT-INTERSECTP-LIST))
 (1674 558 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (1578 1578 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (1116 1116 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (962 962 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (764 764 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (764 764 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (607 453 (:REWRITE DEFAULT-<-2))
 (558 558 (:TYPE-PRESCRIPTION D-E-P))
 (558 558 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (496 484 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (488 488 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (453 453 (:REWRITE DEFAULT-<-1))
 (444 444 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (370 370 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (310 310 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (278 210 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (246 246 (:TYPE-PRESCRIPTION DELETE-D-E))
 (234 234 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (222 74 (:DEFINITION NFIX))
 (210 210 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (204 102 (:REWRITE DEFAULT-UNARY-MINUS))
 (156 156 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (156 156 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (150 150 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (148 148 (:TYPE-PRESCRIPTION NATP))
 (148 148 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (98 6 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (86 86 (:REWRITE INTERSECTP-OF-SELF))
 (74 74 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (74 74 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (74 74 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (64 64 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (64 32 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (48 16 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (48 16 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (40 40 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (40 20 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (36 36 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (36 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (32 32 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (24 8 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (20 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (18 18 (:REWRITE COUNT-OF-CLUSTERS-OF-LOFAT-PLACE-FILE))
 (16 16 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (16 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (16 4 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (10 10 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8 8 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (8 4 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (4 4 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (4 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FLATTEN-EQUIV-OF-CONS-WHEN-ATOM))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-238
 (24456 302 (:DEFINITION HIFAT-ENTRY-COUNT))
 (10614 30 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (8426 18 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (8068 50 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (7410 38 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (4831 2633 (:REWRITE DEFAULT-+-2))
 (3881 2633 (:REWRITE DEFAULT-+-1))
 (3442 634 (:REWRITE COMMUTATIVITY-OF-+))
 (3172 76 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (3020 604 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (3020 302 (:REWRITE COMMUTATIVITY-2-OF-+))
 (2928 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (2556 30 (:DEFINITION FREE-INDEX-LISTP))
 (2416 604 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2416 604 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (2414 604 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (2176 30 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (2160 2160 (:REWRITE DEFAULT-CDR))
 (2015 155 (:DEFINITION FIND-D-E))
 (1521 1521 (:REWRITE DEFAULT-CAR))
 (1510 302 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1448 60 (:DEFINITION NATP))
 (1366 18 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (1322 76 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (1170 30 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (1085 155 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1039 99 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (1013 695 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (906 302 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (906 302 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (876 876 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (822 76 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (775 155 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (700 74 (:DEFINITION NOT-INTERSECTP-LIST))
 (604 604 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (604 604 (:TYPE-PRESCRIPTION LEN))
 (604 604 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (604 604 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (604 604 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (604 604 (:REWRITE FOLD-CONSTS-IN-+))
 (604 604 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (465 155 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (390 390 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (310 310 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (294 294 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (214 214 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (214 214 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (180 180 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (165 124 (:REWRITE DEFAULT-<-2))
 (155 155 (:TYPE-PRESCRIPTION D-E-P))
 (155 155 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (154 148 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (152 152 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (150 150 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (138 138 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (124 124 (:REWRITE DEFAULT-<-1))
 (90 56 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (90 30 (:DEFINITION NFIX))
 (68 68 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (60 60 (:TYPE-PRESCRIPTION NATP))
 (60 60 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (56 56 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (40 40 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (40 40 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (34 34 (:REWRITE INTERSECTP-OF-SELF))
 (32 2 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (30 30 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (30 30 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (30 30 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (30 30 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (24 24 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (24 24 (:TYPE-PRESCRIPTION DELETE-D-E))
 (24 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (20 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (18 18 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (18 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (18 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (12 12 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (12 4 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (12 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (8 8 (:REWRITE COUNT-OF-CLUSTERS-OF-LOFAT-PLACE-FILE))
 (8 2 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (6 6 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (4 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-62))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (4 2 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (4 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-17))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-113))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (2 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-88
 (210306 2575 (:DEFINITION HIFAT-ENTRY-COUNT))
 (40417 21914 (:REWRITE DEFAULT-+-2))
 (39790 174 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (32431 21914 (:REWRITE DEFAULT-+-1))
 (28725 5250 (:REWRITE COMMUTATIVITY-OF-+))
 (25750 5150 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (25750 2575 (:REWRITE COMMUTATIVITY-2-OF-+))
 (24784 132 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (23592 206 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (22377 5150 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (22094 68 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (20600 5150 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (20600 5150 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (16812 16812 (:REWRITE DEFAULT-CDR))
 (12875 2575 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (11690 304 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (11580 11580 (:REWRITE DEFAULT-CAR))
 (11138 304 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (9106 9106 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (8666 100 (:DEFINITION FREE-INDEX-LISTP))
 (8632 664 (:DEFINITION FIND-D-E))
 (7725 2575 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (7725 2575 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (7268 100 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (7108 5050 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (6944 88 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (5878 8 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (5150 5150 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (5150 5150 (:TYPE-PRESCRIPTION LEN))
 (5150 5150 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (5150 5150 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (5150 5150 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5150 5150 (:REWRITE FOLD-CONSTS-IN-+))
 (5150 5150 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4840 200 (:DEFINITION NATP))
 (4648 664 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (4562 410 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (3900 100 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (3320 664 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (3264 314 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (2846 292 (:DEFINITION NOT-INTERSECTP-LIST))
 (1992 664 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (1776 1776 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (1328 1328 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (1300 1300 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (872 872 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (872 872 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (753 562 (:REWRITE DEFAULT-<-2))
 (666 584 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (664 664 (:TYPE-PRESCRIPTION D-E-P))
 (664 664 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (600 600 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (562 562 (:REWRITE DEFAULT-<-1))
 (560 560 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (500 500 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (350 350 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (322 254 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (300 100 (:DEFINITION NFIX))
 (282 282 (:TYPE-PRESCRIPTION DELETE-D-E))
 (278 278 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (254 254 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (242 182 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (234 117 (:REWRITE DEFAULT-UNARY-MINUS))
 (200 200 (:TYPE-PRESCRIPTION NATP))
 (200 200 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (182 182 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (174 174 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (168 24 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (110 110 (:REWRITE INTERSECTP-OF-SELF))
 (100 100 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (100 100 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (100 100 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (98 6 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (84 84 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (72 36 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (60 20 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (54 18 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (54 18 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (48 8 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (48 8 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (46 46 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (46 23 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (36 36 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (36 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (28 28 (:REWRITE COUNT-OF-CLUSTERS-OF-LOFAT-PLACE-FILE))
 (24 8 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (23 23 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (20 14 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (18 6 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (16 16 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (16 4 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (8 8 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (8 4 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (6 6 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (2 2 (:REWRITE FLATTEN-EQUIV-OF-CONS-WHEN-ATOM))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-241
 (25590 316 (:DEFINITION HIFAT-ENTRY-COUNT))
 (13230 34 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (11082 26 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (9150 58 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (8006 46 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (5107 2787 (:REWRITE DEFAULT-+-2))
 (4312 96 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (4103 2787 (:REWRITE DEFAULT-+-1))
 (3652 42 (:DEFINITION FREE-INDEX-LISTP))
 (3644 674 (:REWRITE COMMUTATIVITY-OF-+))
 (3160 632 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (3160 316 (:REWRITE COMMUTATIVITY-2-OF-+))
 (3056 42 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (2928 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (2528 632 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (2528 632 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (2526 632 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (2405 185 (:DEFINITION FIND-D-E))
 (2312 2312 (:REWRITE DEFAULT-CDR))
 (2036 84 (:DEFINITION NATP))
 (1758 96 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (1647 1647 (:REWRITE DEFAULT-CAR))
 (1638 42 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (1580 316 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1366 18 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (1295 185 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1279 115 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (1077 747 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (948 316 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (948 316 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (925 185 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (918 918 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (882 92 (:DEFINITION NOT-INTERSECTP-LIST))
 (838 84 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (632 632 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (632 632 (:TYPE-PRESCRIPTION LEN))
 (632 632 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (632 632 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (632 632 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (632 632 (:REWRITE FOLD-CONSTS-IN-+))
 (632 632 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (555 185 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (546 546 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (370 370 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (306 306 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (252 252 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (242 242 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (242 242 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (222 184 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (215 162 (:REWRITE DEFAULT-<-2))
 (210 210 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (190 190 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (185 185 (:TYPE-PRESCRIPTION D-E-P))
 (185 185 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (162 162 (:REWRITE DEFAULT-<-1))
 (158 158 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (126 42 (:DEFINITION NFIX))
 (104 70 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (84 84 (:TYPE-PRESCRIPTION NATP))
 (84 84 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (82 82 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (70 70 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (70 10 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (66 46 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (46 46 (:REWRITE INTERSECTP-OF-SELF))
 (46 46 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (42 42 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (42 42 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (42 42 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (34 34 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (32 2 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (28 28 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (28 8 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (24 24 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION DELETE-D-E))
 (24 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (24 4 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (24 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (20 10 (:REWRITE DEFAULT-UNARY-MINUS))
 (18 18 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (18 18 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (18 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (18 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (12 12 (:REWRITE COUNT-OF-CLUSTERS-OF-LOFAT-PLACE-FILE))
 (12 4 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (12 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (8 8 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (8 2 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (6 6 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (6 2 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (4 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-62))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (4 2 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (4 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-238))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-17))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-113))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-99
 (10920 135 (:DEFINITION HIFAT-ENTRY-COUNT))
 (7190 353 (:REWRITE LOFAT-TO-HIFAT-HELPER-CORRECTNESS-4))
 (2313 1234 (:REWRITE DEFAULT-+-2))
 (1810 1234 (:REWRITE DEFAULT-+-1))
 (1488 28 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (1438 50 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (1350 270 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (1350 135 (:REWRITE COMMUTATIVITY-2-OF-+))
 (1140 10 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (1080 270 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (1080 270 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1075 270 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (966 930 (:REWRITE DEFAULT-CDR))
 (944 22 (:DEFINITION FREE-INDEX-LISTP))
 (749 719 (:REWRITE DEFAULT-CAR))
 (675 135 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (584 353 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (574 44 (:DEFINITION NOT-INTERSECTP-LIST))
 (560 22 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (412 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-83))
 (405 135 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (405 135 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (390 390 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (358 94 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (341 11 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (300 24 (:DEFINITION NFIX))
 (296 106 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (294 294 (:REWRITE FOLD-CONSTS-IN-+))
 (270 270 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (270 270 (:TYPE-PRESCRIPTION LEN))
 (270 270 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (270 270 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (270 270 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (270 270 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (255 170 (:REWRITE DEFAULT-<-2))
 (231 231 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (224 170 (:REWRITE DEFAULT-<-1))
 (148 130 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (143 143 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (143 22 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (136 88 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (132 132 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (126 18 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (110 110 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (102 72 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (74 44 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (73 73 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (62 8 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (60 6 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (57 25 (:REWRITE DEFAULT-UNARY-MINUS))
 (44 44 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (40 22 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (40 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (32 2 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (26 4 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (24 24 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION LOFAT-DIRECTORY-FILE-P))
 (18 18 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-163))
 (18 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (14 14 (:REWRITE COUNT-OF-CLUSTERS-OF-LOFAT-PLACE-FILE))
 (12 12 (:TYPE-PRESCRIPTION LOFAT-REGULAR-FILE-P))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (12 6 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (12 6 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (10 10 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (10 5 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (8 2 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (6 6 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (6 6 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (6 6 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 3))
 (6 6 (:REWRITE INTERSECTP-MEMBER . 2))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (3 3 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (3 3 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-165))
 (3 3 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-244
 (4168545 47685 (:DEFINITION HIFAT-ENTRY-COUNT))
 (866553 458737 (:REWRITE DEFAULT-+-2))
 (856360 54596 (:DEFINITION FIND-D-E))
 (673069 458737 (:REWRITE DEFAULT-+-1))
 (528625 28352 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-57))
 (476850 95370 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (451189 13167 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-37))
 (404280 95370 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (381480 95370 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (381480 95370 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (370694 333305 (:REWRITE DEFAULT-CAR))
 (214631 64 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-12))
 (166496 39896 (:REWRITE D-E-DIRECTORY-P-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (160903 92 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-59))
 (156740 668 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (154591 36 (:LINEAR HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E))
 (147804 105841 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (143055 47685 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (100890 40157 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (97739 18177 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (97460 65805 (:REWRITE DEFAULT-<-2))
 (95370 95370 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (91374 65805 (:REWRITE DEFAULT-<-1))
 (86284 532 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (84128 282 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-PLACE-CONTENTS))
 (82698 168 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (66560 532 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-UPDATE-FATI))
 (55196 55196 (:TYPE-PRESCRIPTION PLACE-D-E))
 (53548 136 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (50037 8618 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (46153 1288 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (40410 1476 (:REWRITE D-E-FIRST-CLUSTER-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (39608 39608 (:REWRITE FIND-D-E-CORRECTNESS-1))
 (38934 1050 (:REWRITE FAT32-MASKED-ENTRY-FIX-WHEN-FAT32-MASKED-ENTRY-P))
 (34476 2828 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (33100 72 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-2 . 2))
 (24236 532 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-2))
 (23463 18168 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (22229 22229 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (21940 284 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (21280 80 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-2 . 1))
 (21019 18611 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (18168 18168 (:REWRITE INTERSECT-WITH-SUBSET . 10))
 (18168 18168 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (18168 18168 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (18168 18168 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (18168 18168 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (18168 18168 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (18168 18168 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (18168 18168 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (18168 18168 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (18168 18168 (:REWRITE INTERSECT-WITH-SUBSET . 1))
 (17707 36 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-3))
 (17128 528 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (16721 221 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-11))
 (16716 168 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-3))
 (16215 8195 (:REWRITE NTH-WHEN-D-E-P . 2))
 (15600 260 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (15191 116 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS))
 (14760 40 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-1))
 (13540 6380 (:REWRITE DEFAULT-UNARY-MINUS))
 (10640 1904 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-1))
 (10368 3456 (:REWRITE D-E-P-OF-D-E-INSTALL-DIRECTORY-BIT . 1))
 (8328 4089 (:REWRITE DEFAULT-*-2))
 (8180 522 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (7816 80 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-31))
 (6818 1904 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-5))
 (5822 5822 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (5046 4 (:REWRITE MAKE-D-E-LIST-OF-APPEND-2))
 (4786 4089 (:REWRITE DEFAULT-*-1))
 (4537 22 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-APPEND))
 (4503 228 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (3990 28 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-112))
 (3600 1800 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (3524 16 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-2))
 (3225 3225 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (3150 315 (:REWRITE SET-INDICES-IN-FA-TABLE-CORRECTNESS-2))
 (2911 2911 (:LINEAR POSITION-WHEN-MEMBER))
 (2911 2911 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2470 174 (:REWRITE SUBSETP-OF-CONS))
 (2247 2247 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2240 56 (:REWRITE NON-FREE-INDEX-LISTP-OF-EFFECTIVE-FAT-OF-PLACE-CONTENTS))
 (2239 2189 (:REWRITE INTERSECTP-OF-SELF))
 (2004 4 (:REWRITE CHARACTER-LISTP-OF-MAKE-LIST-AC))
 (1890 378 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (1862 1862 (:TYPE-PRESCRIPTION NATP-OF-FAT32-MASKED-ENTRY-FIX))
 (1862 1862 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-FIX))
 (1680 210 (:REWRITE LOFAT-FS-P-OF-UPDATE-DIR-CONTENTS))
 (1442 4 (:REWRITE LEN-OF-MAKE-LIST-AC))
 (1212 1212 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-2))
 (1204 602 (:REWRITE D-E-FILE-SIZE-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (1198 1198 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1176 56 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (992 720 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (970 194 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE))
 (630 315 (:REWRITE FAT-LENGTH-OF-CLEAR-CC))
 (621 621 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (585 585 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (572 52 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (570 114 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (564 188 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (557 557 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-7))
 (534 534 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (534 534 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (534 534 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (532 532 (:REWRITE D-E-LIST-P-OF-PLACE-D-E))
 (512 512 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (512 512 (:REWRITE INTERSECTP-MEMBER . 3))
 (512 512 (:REWRITE INTERSECTP-MEMBER . 2))
 (507 285 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-165))
 (447 317 (:REWRITE COUNT-OF-CLUSTERS-OF-UPDATE-DIR-CONTENTS))
 (416 208 (:TYPE-PRESCRIPTION LAST))
 (388 12 (:REWRITE FATI-OF-PLACE-CONTENTS-DISJOINT))
 (364 52 (:REWRITE CONSP-OF-LAST))
 (320 80 (:REWRITE MEMBER-OF-CONS))
 (315 315 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (294 294 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (292 292 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (260 260 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (228 228 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (182 4 (:REWRITE NTH-OF-MAKE-LIST-AC))
 (168 56 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (154 154 (:REWRITE SUBSETP-OF-CDR))
 (128 8 (:LINEAR MAKE-CLUSTERS-CORRECTNESS-3))
 (118 118 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (114 114 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (108 108 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (108 108 (:TYPE-PRESCRIPTION DELETE-D-E))
 (89 89 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (56 4 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (54 24 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (52 52 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (36 4 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (32 4 (:REWRITE MAKE-D-E-LIST-OF-APPEND-1))
 (32 2 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (28 4 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-MAKE-LIST-AC))
 (26 4 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (24 6 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (20 4 (:REWRITE CHARS=>NATS-OF-NATS=>CHARS))
 (17 17 (:REWRITE-QUOTED-CONSTANT FIX-UNDER-NUMBER-EQUIV))
 (17 17 (:REWRITE FIX-UNDER-NUMBER-EQUIV))
 (12 4 (:REWRITE STRINGP-OF-INSERT-D-E))
 (9 9 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (8 8 (:TYPE-PRESCRIPTION UNSIGNED-BYTE-LISTP))
 (8 8 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (8 2 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION MAKE-LIST-AC))
 (4 4 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (4 4 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (4 4 (:REWRITE RETURN-TYPE-OF-STRING=>NATS))
 (4 4 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-62))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-89
 (412160 5054 (:DEFINITION HIFAT-ENTRY-COUNT))
 (266676 224 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (159626 122 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (80514 43646 (:REWRITE DEFAULT-+-2))
 (74230 398 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (64160 43646 (:REWRITE DEFAULT-+-1))
 (50540 10108 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (50540 5054 (:REWRITE COMMUTATIVITY-2-OF-+))
 (43270 10108 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (40432 10108 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (40432 10108 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (32000 32000 (:REWRITE DEFAULT-CDR))
 (31052 398 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (25270 5054 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (21828 21828 (:REWRITE DEFAULT-CAR))
 (17750 17750 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (17189 7535 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (15162 5054 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (15162 5054 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (14190 164 (:DEFINITION FREE-INDEX-LISTP))
 (11918 164 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (10934 10934 (:REWRITE FOLD-CONSTS-IN-+))
 (10108 10108 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (10108 10108 (:TYPE-PRESCRIPTION LEN))
 (10108 10108 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (10108 10108 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10108 10108 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (10108 10108 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (10088 776 (:DEFINITION FIND-D-E))
 (9640 62 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (9492 9492 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (9250 1062 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (6396 164 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (5432 776 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (5244 484 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (4272 584 (:DEFINITION NFIX))
 (3880 776 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (3798 378 (:DEFINITION NOT-INTERSECTP-LIST))
 (3266 368 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (3178 1876 (:REWRITE DEFAULT-<-1))
 (2858 1062 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (2564 1876 (:REWRITE DEFAULT-<-2))
 (2328 776 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (2132 2132 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (1552 1552 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (1302 1302 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-83))
 (984 984 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (862 756 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (842 790 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (820 820 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (776 776 (:TYPE-PRESCRIPTION D-E-P))
 (776 776 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (752 752 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-165))
 (730 534 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (376 316 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (360 292 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (328 328 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (316 316 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (316 316 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (292 292 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (224 224 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (200 100 (:REWRITE DEFAULT-UNARY-MINUS))
 (198 198 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (168 24 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (164 164 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (164 164 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (164 164 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (162 162 (:TYPE-PRESCRIPTION DELETE-D-E))
 (128 8 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (114 38 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (108 108 (:REWRITE INTERSECTP-OF-SELF))
 (92 92 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (80 40 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (64 12 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (64 12 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (60 20 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (60 20 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (54 54 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (52 52 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (52 26 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (46 8 (:REWRITE SUBSETP-CAR-MEMBER))
 (40 40 (:REWRITE COUNT-OF-CLUSTERS-OF-LOFAT-PLACE-FILE))
 (38 4 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$-2))
 (26 26 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (26 8 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (24 8 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (18 6 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (16 16 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (8 8 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (8 8 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (8 8 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (8 4 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (6 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-12))
 (4 4 (:REWRITE SUBSETP-REFL))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (2 2 (:REWRITE FLATTEN-EQUIV-OF-CONS-WHEN-ATOM))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-105
 (120678 1490 (:DEFINITION HIFAT-ENTRY-COUNT))
 (96200 56 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (85268 84 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (82858 44 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (59586 78 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (29801 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-238))
 (23792 12926 (:REWRITE DEFAULT-+-2))
 (20126 142 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (18976 12926 (:REWRITE DEFAULT-+-1))
 (14900 2980 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (14900 1490 (:REWRITE COMMUTATIVITY-2-OF-+))
 (13786 8 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (12194 135 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (11920 2980 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (11920 2980 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (11916 2980 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (9562 9562 (:REWRITE DEFAULT-CDR))
 (7450 1490 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (6582 142 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (6545 6545 (:REWRITE DEFAULT-CAR))
 (5748 66 (:DEFINITION FREE-INDEX-LISTP))
 (5102 2222 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (4808 66 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (4470 1490 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (4470 1490 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (4428 4428 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-HELPER-CORRECTNESS-1 . 2))
 (3627 279 (:DEFINITION FIND-D-E))
 (3544 22 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (3224 3224 (:REWRITE FOLD-CONSTS-IN-+))
 (2980 2980 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (2980 2980 (:TYPE-PRESCRIPTION LEN))
 (2980 2980 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (2980 2980 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2980 2980 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2980 2980 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2850 2850 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (2574 66 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (1953 279 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1823 179 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (1506 358 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (1404 200 (:DEFINITION NFIX))
 (1395 279 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1340 136 (:DEFINITION NOT-INTERSECTP-LIST))
 (1136 4 (:REWRITE SUBSETP-CONS-2))
 (1106 4 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$-2))
 (1058 2 (:REWRITE NOT-INTERSECTP-OF-SET-DIFFERENCE$-WHEN-SUBSETP-1 . 2))
 (1052 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-38))
 (1029 620 (:REWRITE DEFAULT-<-1))
 (858 858 (:TYPE-PRESCRIPTION COUNT-OF-CLUSTERS))
 (842 122 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (840 620 (:REWRITE DEFAULT-<-2))
 (837 279 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (558 558 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (409 409 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-83))
 (396 396 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (358 358 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (330 330 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (322 272 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (282 282 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (279 279 (:TYPE-PRESCRIPTION D-E-P))
 (279 279 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (236 236 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (222 222 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-165))
 (134 100 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (132 132 (:TYPE-PRESCRIPTION D-E-FIRST-CLUSTER))
 (126 100 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (112 112 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (100 100 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (100 100 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (70 10 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (66 66 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (66 66 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (66 66 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (62 62 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (62 4 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (56 56 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (56 30 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (52 52 (:REWRITE INTERSECTP-OF-SELF))
 (48 48 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (44 22 (:REWRITE DEFAULT-UNARY-MINUS))
 (32 6 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (32 6 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (30 30 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (30 30 (:TYPE-PRESCRIPTION DELETE-D-E))
 (30 10 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (28 28 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (28 16 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (24 8 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (22 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (20 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (20 8 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (18 18 (:REWRITE COUNT-OF-CLUSTERS-OF-LOFAT-PLACE-FILE))
 (16 16 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (16 4 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (12 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (12 2 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$-WHEN-SUBSETP))
 (10 10 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (8 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-62))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (8 8 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (8 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (8 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (6 6 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (6 2 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (4 4 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (4 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (4 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (4 2 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-241))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-179))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-17))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-113))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-107
 (521041 73 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-12))
 (236995 129226 (:REWRITE DEFAULT-+-2))
 (186942 129226 (:REWRITE DEFAULT-+-1))
 (161917 2567 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (135661 115612 (:REWRITE DEFAULT-CDR))
 (105656 26428 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (105600 26400 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (105237 86912 (:REWRITE DEFAULT-CAR))
 (85047 3803 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (54273 13456 (:REWRITE SUBSETP-CAR-MEMBER))
 (44871 13883 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (44192 13649 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (39207 21045 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (34563 843 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (30577 6918 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (27942 22179 (:REWRITE DEFAULT-<-2))
 (26631 22179 (:REWRITE DEFAULT-<-1))
 (26475 26475 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (22818 22818 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (21135 943 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (18646 215 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-27))
 (17592 17592 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (11508 132 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-2 . 2))
 (7329 2443 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (6429 151 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 (5585 3803 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (4644 105 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-7))
 (3616 1808 (:REWRITE DEFAULT-UNARY-MINUS))
 (3391 1579 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (2880 9 (:REWRITE MEMBER-INTERSECTP-BINARY-APPEND . 2))
 (2727 27 (:REWRITE HIFAT-ENTRY-COUNT-OF-HIFAT-PLACE-FILE))
 (2267 2267 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (2037 2037 (:REWRITE INTERSECTP-OF-SELF))
 (1683 1683 (:REWRITE FIND-D-E-CORRECTNESS-1))
 (1426 110 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (982 85 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (924 16 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (894 35 (:REWRITE M1-FILE-ALIST-P-OF-CONS))
 (831 148 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (792 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-62))
 (710 351 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (700 700 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (700 700 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (675 675 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (661 19 (:DEFINITION STRIP-CARS))
 (555 45 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-226))
 (537 537 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (535 535 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (499 499 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-165))
 (496 139 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (405 405 (:TYPE-PRESCRIPTION DELETE-D-E))
 (372 8 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (360 40 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (332 332 (:TYPE-PRESCRIPTION REMOVE-ASSOC-EQUAL))
 (328 42 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (308 308 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-17))
 (308 308 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-113))
 (302 302 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (296 296 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (296 296 (:REWRITE INTERSECTP-MEMBER . 3))
 (296 296 (:REWRITE INTERSECTP-MEMBER . 2))
 (209 209 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (198 198 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (110 110 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-3))
 (110 110 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-1))
 (110 110 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-163))
 (100 5 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-APPEND))
 (90 6 (:REWRITE SUBSETP-OF-CONS))
 (74 74 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-179))
 (54 54 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (54 27 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (48 48 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (48 24 (:REWRITE DEFAULT-*-2))
 (36 36 (:TYPE-PRESCRIPTION STRIP-CARS))
 (27 27 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (26 26 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (26 6 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (25 5 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE))
 (24 24 (:REWRITE DEFAULT-*-1))
 (24 24 (:LINEAR POSITION-WHEN-MEMBER))
 (24 24 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (24 8 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (16 16 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (16 8 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (14 9 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (12 12 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-9))
 (12 3 (:REWRITE MEMBER-OF-CONS))
 (10 5 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-92))
 (6 2 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 2))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-85))
 (1 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-10))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-144
 (7069 98 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (5478 482 (:DEFINITION FIND-D-E))
 (5219 13 (:REWRITE HIFAT-ENTRY-COUNT-OF-HIFAT-PLACE-FILE))
 (3928 55 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (3518 91 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (3088 80 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (3026 66 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (2996 29 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (2696 504 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2642 7 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (2464 66 (:REWRITE DELETE-D-E-CORRECTNESS-1))
 (2200 22 (:DEFINITION DELETE-D-E))
 (2172 70 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (1803 7 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (1776 24 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (1716 28 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 (1688 504 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1600 50 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (1578 55 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (1554 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-62))
 (1391 7 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT))
 (1306 390 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (1232 983 (:REWRITE DEFAULT-CAR))
 (1169 261 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (1138 326 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (1122 588 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (1109 828 (:REWRITE DEFAULT-CDR))
 (1051 29 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (1032 86 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (1032 3 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (1008 1008 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (919 156 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (910 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-38))
 (880 22 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (854 129 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (755 182 (:REWRITE NFIX-WHEN-ZP))
 (704 528 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (690 156 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (681 515 (:REWRITE DEFAULT-<-2))
 (644 92 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (632 194 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (611 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-12))
 (587 291 (:REWRITE DEFAULT-+-2))
 (572 515 (:REWRITE DEFAULT-<-1))
 (534 86 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (533 182 (:REWRITE NFIX-WHEN-NATP))
 (528 528 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (506 76 (:DEFINITION ASSOC-EQUAL))
 (482 482 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (468 468 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (419 419 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (414 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-27))
 (402 402 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (399 291 (:REWRITE DEFAULT-+-1))
 (390 390 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (384 24 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-23))
 (368 184 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (365 209 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (325 325 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (324 6 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (303 303 (:TYPE-PRESCRIPTION ZP))
 (253 84 (:DEFINITION NATP))
 (244 53 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (241 241 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (238 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (211 211 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (209 209 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (208 26 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (194 194 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (194 194 (:TYPE-PRESCRIPTION LEN))
 (192 192 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (184 184 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (182 26 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (152 4 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-7))
 (148 4 (:REWRITE INTERSECTP-OF-SELF))
 (134 134 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (106 50 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (94 10 (:REWRITE M1-FILE->CONTENTS-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (91 91 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (91 70 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (90 45 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (88 88 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (84 84 (:TYPE-PRESCRIPTION NATP))
 (78 13 (:REWRITE UNICITY-OF-0))
 (71 28 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (70 70 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (70 35 (:REWRITE DEFAULT-UNARY-MINUS))
 (66 66 (:TYPE-PRESCRIPTION DELETE-D-E))
 (65 13 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (63 14 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (55 2 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (50 50 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (39 39 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (39 6 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (36 3 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$))
 (35 35 (:REWRITE FIND-D-E-CORRECTNESS-1))
 (34 18 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (30 30 (:TYPE-PRESCRIPTION M1-FILE-HIFAT-FILE-ALIST-FIX))
 (30 6 (:REWRITE SET-DIFFERENCE$-WHEN-NOT-INTERSECTP))
 (28 12 (:REWRITE M1-FILE-ALIST-P-OF-LOFAT-TO-HIFAT-HELPER))
 (27 5 (:REWRITE SUBSETP-CAR-MEMBER))
 (24 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (22 16 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (16 16 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (16 4 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (15 15 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (15 4 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (13 13 (:TYPE-PRESCRIPTION M1-FILE-P))
 (13 13 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (12 12 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (12 12 (:REWRITE DISJOINT-LIST-LISTP-OF-LOFAT-TO-HIFAT-HELPER))
 (11 11 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (10 1 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (9 9 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (8 8 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT-HELPER))
 (6 6 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (6 6 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (5 5 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (5 5 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (4 2 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (4 1 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (3 3 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (3 3 (:REWRITE COUNT-OF-CLUSTERS-OF-LOFAT-PLACE-FILE))
 (2 2 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-3))
 (2 2 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-1))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE MEMBER-WHEN-ATOM))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (2 2 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (1 1 (:REWRITE FLATTEN-EQUIV-OF-CONS-WHEN-ATOM))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-11
 (8414 13 (:REWRITE HIFAT-ENTRY-COUNT-OF-HIFAT-PLACE-FILE))
 (6180 100 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (5912 520 (:DEFINITION FIND-D-E))
 (4336 58 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-96))
 (3300 72 (:REWRITE REMOVE-ASSOC-WHEN-ABSENT-1))
 (3224 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-55))
 (3177 84 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (3102 26 (:REWRITE M1-REGULAR-FILE-P-OF-M1-FILE))
 (2912 544 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (2882 130 (:DEFINITION LEN))
 (2688 72 (:REWRITE DELETE-D-E-CORRECTNESS-1))
 (2430 1004 (:REWRITE DEFAULT-CDR))
 (2400 24 (:DEFINITION DELETE-D-E))
 (2327 73 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (2244 30 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (2239 67 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-2))
 (2188 14 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-144))
 (2080 20 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (2036 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-62))
 (1975 62 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (1904 10 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT))
 (1860 30 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-LEMMA-1))
 (1850 244 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1824 544 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (1792 394 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (1792 56 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (1720 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-27))
 (1705 5 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (1681 58 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (1652 262 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (1573 109 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-58))
 (1555 13 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1400 10 (:REWRITE M1-FILE->CONTENTS-OF-M1-FILE-HIFAT-FILE-ALIST-FIX))
 (1392 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-38))
 (1322 1038 (:REWRITE DEFAULT-CAR))
 (1304 36 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (1196 352 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (1183 598 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (1088 1088 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (1035 132 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (1010 218 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (999 168 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (960 24 (:DEFINITION REMOVE-ASSOC-EQUAL))
 (839 214 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (832 409 (:REWRITE DEFAULT-+-2))
 (762 570 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (736 168 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (721 477 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (694 167 (:REWRITE NFIX-WHEN-ZP))
 (684 210 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (661 489 (:REWRITE DEFAULT-<-2))
 (570 570 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (551 489 (:REWRITE DEFAULT-<-1))
 (546 82 (:DEFINITION ASSOC-EQUAL))
 (529 529 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (528 264 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (520 520 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (510 409 (:REWRITE DEFAULT-+-1))
 (494 167 (:REWRITE NFIX-WHEN-NATP))
 (452 8 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (436 436 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (429 195 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (416 26 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-23))
 (404 404 (:TYPE-PRESCRIPTION LEN))
 (394 394 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (380 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (372 372 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (366 366 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (325 325 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (324 6 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 1))
 (313 313 (:TYPE-PRESCRIPTION ZP))
 (272 272 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (264 264 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (238 4 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (236 236 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (235 76 (:DEFINITION NATP))
 (234 26 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (226 226 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (222 6 (:REWRITE INTERSECTP-OF-SELF))
 (197 197 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (195 195 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (184 4 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-145))
 (182 26 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (152 4 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-7))
 (147 147 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (120 56 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (104 104 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (98 49 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (96 96 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (86 62 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (78 13 (:REWRITE UNICITY-OF-0))
 (76 76 (:TYPE-PRESCRIPTION NATP))
 (76 76 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (74 37 (:REWRITE DEFAULT-UNARY-MINUS))
 (72 72 (:TYPE-PRESCRIPTION DELETE-D-E))
 (72 16 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (71 28 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (65 13 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (56 56 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (55 2 (:DEFINITION SET-DIFFERENCE-EQUAL))
 (41 13 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (40 24 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (39 39 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (39 6 (:REWRITE NOT-MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1))
 (36 36 (:REWRITE FIND-D-E-CORRECTNESS-1))
 (36 3 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (30 30 (:TYPE-PRESCRIPTION M1-FILE-HIFAT-FILE-ALIST-FIX))
 (30 30 (:TYPE-PRESCRIPTION M1-FILE))
 (30 6 (:REWRITE SET-DIFFERENCE$-WHEN-NOT-INTERSECTP))
 (28 12 (:REWRITE M1-FILE-ALIST-P-OF-LOFAT-TO-HIFAT-HELPER))
 (27 5 (:REWRITE SUBSETP-CAR-MEMBER))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (24 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (22 16 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-52))
 (18 18 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (17 17 (:TYPE-PRESCRIPTION M1-FILE-P))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16 8 (:REWRITE DEFAULT-*-2))
 (16 4 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (15 15 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (13 13 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (12 12 (:TYPE-PRESCRIPTION DISJOINT-LIST-LISTP))
 (12 12 (:REWRITE DISJOINT-LIST-LISTP-OF-LOFAT-TO-HIFAT-HELPER))
 (12 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (12 4 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FLATTEN))
 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE HIFAT-NO-DUPS-P-OF-LOFAT-TO-HIFAT-HELPER))
 (8 8 (:REWRITE DEFAULT-*-1))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (7 7 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (6 6 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (6 6 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (6 6 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1))
 (5 5 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (4 4 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-43))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (4 4 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (4 1 (:REWRITE FLATTEN-WHEN-NOT-CONSP))
 (3 3 (:REWRITE MEMBER-INTERSECTP-OF-SET-DIFFERENCE$-1 . 2))
 (3 3 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (3 3 (:REWRITE COUNT-OF-CLUSTERS-OF-LOFAT-PLACE-FILE))
 (2 2 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-3))
 (2 2 (:REWRITE PUT-ASSOC-UNDER-HIFAT-EQUIV-1))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE MEMBER-WHEN-ATOM))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-82))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-68))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE FLATTEN-EQUIV-OF-CONS-WHEN-ATOM))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-148)
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-75
 (20503 6 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-PLACE-CONTENTS))
 (19760 20 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-UPDATE-FATI))
 (17053 46 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-57))
 (16314 201 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (11592 78 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-3))
 (10773 136 (:DEFINITION FREE-INDEX-LISTP))
 (7214 78 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-CLEAR-CC))
 (3969 48 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (3285 45 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (2893 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-37))
 (2724 201 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (2553 122 (:DEFINITION LEN))
 (2539 403 (:REWRITE NFIX-WHEN-ZP))
 (2496 350 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (2376 176 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (2003 304 (:REWRITE DEFAULT-CDR))
 (1965 201 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (1618 1250 (:REWRITE DEFAULT-<-2))
 (1564 212 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (1556 1556 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (1518 1518 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (1407 1250 (:REWRITE DEFAULT-<-1))
 (1232 1232 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (957 537 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (940 419 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (915 538 (:REWRITE DEFAULT-+-2))
 (879 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (816 48 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-31))
 (799 203 (:REWRITE DEFAULT-CAR))
 (767 538 (:REWRITE DEFAULT-+-1))
 (680 680 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (582 154 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (540 540 (:TYPE-PRESCRIPTION NOT-INTERSECTP-LIST))
 (508 9 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (505 505 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (502 22 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (500 40 (:REWRITE STR::CONSP-OF-EXPLODE))
 (498 3 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (498 2 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (468 104 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (420 9 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (342 1 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (302 76 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (296 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (270 270 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (255 28 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (201 201 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (201 201 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (169 46 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (168 56 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (168 42 (:REWRITE D-E-DIRECTORY-P-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (140 140 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (135 135 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (135 135 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (128 28 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (126 42 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (120 2 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (114 38 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (98 98 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (90 90 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (90 90 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (90 90 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (90 45 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (69 1 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (62 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (62 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (60 60 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (59 18 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (58 58 (:TYPE-PRESCRIPTION PLACE-D-E))
 (56 8 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (55 45 (:REWRITE NTH-WHEN-D-E-P . 2))
 (50 50 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (50 50 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (49 49 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (45 15 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (45 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-87))
 (42 42 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (38 38 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (38 38 (:TYPE-PRESCRIPTION ATOM))
 (36 36 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (27 9 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (27 9 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (26 1 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (24 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (21 3 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (20 10 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (19 19 (:TYPE-PRESCRIPTION D-E-LIST-P))
 (18 18 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-2))
 (18 18 (:REWRITE NOT-INTERSECTP-LIST-OF-CONS-1))
 (18 18 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-7))
 (18 18 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16 8 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (14 14 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (13 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (13 2 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (12 12 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (12 8 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (12 1 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (11 3 (:REWRITE MEMBER-WHEN-ATOM))
 (11 1 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (9 9 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LISTP))
 (9 9 (:LINEAR POSITION-WHEN-MEMBER))
 (9 9 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (8 1 (:REWRITE INTERSECTP-OF-SELF))
 (7 3 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (6 4 (:REWRITE NTH-WHEN-D-E-P . 3))
 (6 1 (:REWRITE NON-FREE-INDEX-LISTP-OF-D-E-CC))
 (5 5 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LIST-LISTP))
 (5 5 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (4 4 (:REWRITE D-E-LIST-P-OF-PLACE-D-E))
 (4 2 (:REWRITE DEFAULT-*-2))
 (3 3 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (3 3 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 3))
 (3 3 (:REWRITE INTERSECTP-MEMBER . 2))
 (3 3 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (2 2 (:TYPE-PRESCRIPTION FAT32$C-P))
 (2 2 (:REWRITE DEFAULT-*-1))
 (1 1 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 4))
 (1 1 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-118
 (15447 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-PLACE-CONTENTS))
 (15106 12 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-UPDATE-FATI))
 (12521 146 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (11929 44 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-57))
 (9428 369 (:REWRITE ZP-OPEN))
 (8842 60 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-3))
 (8007 100 (:DEFINITION FREE-INDEX-LISTP))
 (5492 60 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-CLEAR-CC))
 (4556 102 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (2910 35 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (2893 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-37))
 (2409 33 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (1996 146 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-56))
 (1728 128 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (1722 280 (:REWRITE NFIX-WHEN-ZP))
 (1530 205 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (1448 146 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (1218 954 (:REWRITE DEFAULT-<-2))
 (1160 1160 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (1158 4 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (1157 178 (:REWRITE DEFAULT-CDR))
 (1142 102 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (1078 954 (:REWRITE DEFAULT-<-1))
 (1050 179 (:DEFINITION NATP))
 (1036 1036 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (963 44 (:DEFINITION LEN))
 (896 896 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (816 48 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-31))
 (789 340 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (619 155 (:REWRITE DEFAULT-CAR))
 (609 609 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (590 272 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (579 11 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (549 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-39))
 (532 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (508 9 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (500 500 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (498 3 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (464 284 (:REWRITE DEFAULT-+-2))
 (421 421 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (414 284 (:REWRITE DEFAULT-+-1))
 (410 105 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (402 4 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (393 393 (:TYPE-PRESCRIPTION NOT-INTERSECTP-LIST))
 (360 80 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (342 1 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (342 1 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (306 306 (:TYPE-PRESCRIPTION ZP))
 (296 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (202 202 (:REWRITE FIND-D-E-CORRECTNESS-1))
 (200 16 (:REWRITE STR::CONSP-OF-EXPLODE))
 (198 198 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (179 179 (:TYPE-PRESCRIPTION NATP))
 (160 40 (:REWRITE D-E-DIRECTORY-P-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (146 146 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (146 146 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (136 28 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (126 42 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (120 40 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (116 15 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (106 106 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (106 27 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (99 99 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (99 99 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (98 98 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (69 1 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (67 15 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (66 66 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (66 66 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (66 66 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (66 33 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (62 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (62 2 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (60 1 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (58 58 (:TYPE-PRESCRIPTION PLACE-D-E))
 (49 7 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (45 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-87))
 (44 44 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (43 43 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (41 8 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (40 40 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (27 9 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (26 26 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (26 26 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (26 1 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (24 24 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (24 2 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (21 3 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (18 2 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (17 11 (:REWRITE NTH-WHEN-D-E-P . 2))
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 )
(INDUCTION-SCHEME
 (27 27 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-44
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 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-117
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 )
(LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-116
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 (92156 3329 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
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 (87788 2582 (:REWRITE TAKE-OF-LEN-FREE))
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 (6 6 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (6 6 (:REWRITE M1-FILE-P-OF-M1-FILE))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-82))
 (2 2 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 )
(LOFAT-PLACE-FILE-CORRECTNESS-1
 (334 7 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-PLACE-FILE-DISJOINT))
 (282 3 (:REWRITE MEMBER-INTERSECTP-IS-COMMUTATIVE))
 (216 6 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (150 9 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (119 47 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (72 72 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (62 4 (:REWRITE ZP-OPEN))
 (50 1 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (48 4 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (33 33 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (29 29 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (29 2 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (26 26 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (24 24 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (24 24 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (24 11 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (22 9 (:REWRITE NFIX-WHEN-ZP))
 (22 6 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (21 3 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-1))
 (21 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-3))
 (19 2 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (17 11 (:REWRITE DEFAULT-<-2))
 (17 3 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT))
 (15 15 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (15 15 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (15 5 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (13 8 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (13 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-40))
 (12 12 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (12 11 (:REWRITE DEFAULT-<-1))
 (12 7 (:REWRITE DEFAULT-CDR))
 (12 7 (:REWRITE DEFAULT-CAR))
 (11 11 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (11 7 (:REWRITE DEFAULT-+-2))
 (10 7 (:REWRITE DEFAULT-+-1))
 (10 4 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (9 9 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (8 8 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (8 8 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (8 2 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-2))
 (7 1 (:DEFINITION NATP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (5 1 (:REWRITE INTERSECTP-OF-SELF))
 (5 1 (:DEFINITION NFIX))
 (4 4 (:TYPE-PRESCRIPTION ZP))
 (4 1 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (3 3 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-1 . 1))
 (3 3 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-4))
 (3 3 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (2 2 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-6))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (1 1 (:REWRITE HIFAT-PLACE-FILE-WHEN-HIFAT-EQUIV-3 . 1))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (1 1 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 )
(LEMMA
 (571964 550 (:REWRITE MEMBER-OF-NTH-WHEN-NOT-INTERSECTP))
 (516161 1575 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (315825 248 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (311912 14100 (:REWRITE NFIX-WHEN-ZP))
 (255872 1709 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (239336 51390 (:REWRITE DEFAULT-CDR))
 (217498 2349 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (212956 1317 (:DEFINITION FREE-INDEX-LISTP))
 (194156 7905 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (191893 572 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (185790 12415 (:DEFINITION FIND-D-E))
 (182837 100265 (:REWRITE DEFAULT-+-2))
 (178871 353 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (133403 61943 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (128595 100265 (:REWRITE DEFAULT-+-1))
 (127246 383 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (125481 1875 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (124193 1875 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (92848 1070 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-1))
 (91598 2349 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (90325 2349 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (90100 1416 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (89024 53094 (:REWRITE DEFAULT-<-2))
 (85934 20006 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (79062 4184 (:DEFINITION POSITION-EQUAL-AC))
 (79054 871 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-44))
 (79033 123 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-DISJOINT))
 (74187 94 (:REWRITE POSITION-EQUAL-AC-OF-+))
 (70600 9039 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (63734 12739 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (62840 53094 (:REWRITE DEFAULT-<-1))
 (62074 465 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (61212 24877 (:REWRITE DEFAULT-CAR))
 (59719 133 (:REWRITE D-E-CC-OF-UPDATE-DIR-CONTENTS-COINCIDENT))
 (46299 133 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-11))
 (41637 13879 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (36029 135 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-188))
 (34967 5289 (:LINEAR POSITION-WHEN-MEMBER))
 (28422 512 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (26485 1128 (:REWRITE NON-FREE-INDEX-LISTP-OF-D-E-CC))
 (25826 25826 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (25413 4085 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (25192 218 (:REWRITE PAINFUL-DEBUGGING-LEMMA-22))
 (24635 106 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-10))
 (23106 315 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (21172 21172 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (15867 5289 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (15867 5289 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (15232 784 (:DEFINITION POSITION-EQUAL))
 (15043 5671 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (15021 583 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-HIFAT-TO-LOFAT-HELPER-DISJOINT-LEMMA-1))
 (14859 324 (:DEFINITION PLACE-D-E))
 (13563 768 (:REWRITE NON-FREE-INDEX-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (11718 352 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (11408 32 (:REWRITE COUNT-FREE-CLUSTERS-OF-UPDATE-NTH))
 (11246 209 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (10588 542 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (10578 10578 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10223 10223 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
 (8436 6034 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (8346 2782 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (8320 209 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (6802 3365 (:REWRITE DEFAULT-*-2))
 (6760 6760 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (6657 6657 (:REWRITE SUBSETP-MEMBER . 2))
 (6509 4331 (:REWRITE NTH-WHEN-D-E-P . 2))
 (6109 246 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-FATI))
 (5208 4 (:REWRITE D-E-CC-OF-STOBJ-SET-INDICES-IN-FA-TABLE-DISJOINT))
 (4895 71 (:REWRITE FAT32-MASKED-ENTRY-P-OF-NTH-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (4755 118 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-11))
 (4264 71 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-FIND-N-FREE-CLUSTERS . 1))
 (4000 400 (:REWRITE COMMUTATIVITY-2-OF-+))
 (3678 3678 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LISTP))
 (3365 3365 (:REWRITE DEFAULT-*-1))
 (3336 1458 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3033 1011 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (2782 2782 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (2758 2758 (:TYPE-PRESCRIPTION ATOM))
 (2589 87 (:REWRITE D-E-CC-OF-CLEAR-CC))
 (2466 2466 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2361 248 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (2349 2349 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (2299 209 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (2268 324 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (2171 29 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-1))
 (2142 218 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (2095 159 (:REWRITE CONSP-OF-LAST))
 (2022 2022 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (1981 669 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-2))
 (1948 66 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (1922 929 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (1890 1890 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (1792 462 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (1558 291 (:REWRITE INTERSECTP-OF-SELF))
 (1544 62 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (1516 1516 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (1512 376 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (1440 816 (:TYPE-PRESCRIPTION LAST))
 (1308 1308 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (1146 902 (:REWRITE NTH-WHEN-D-E-P . 3))
 (1045 1045 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LIST-LISTP))
 (972 324 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (945 945 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (945 945 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (940 94 (:REWRITE ASSOCIATIVITY-OF-+))
 (903 903 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (903 903 (:REWRITE INTERSECTP-MEMBER . 3))
 (903 903 (:REWRITE INTERSECTP-MEMBER . 2))
 (902 902 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (902 902 (:REWRITE SUBSETP-MEMBER . 4))
 (894 894 (:TYPE-PRESCRIPTION EFFECTIVE-FAT))
 (865 865 (:TYPE-PRESCRIPTION LENGTH))
 (851 247 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (792 198 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (768 384 (:TYPE-PRESCRIPTION SET-INDICES-IN-FA-TABLE))
 (697 697 (:REWRITE MEMBER-OF-CAR))
 (686 62 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (671 671 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (640 88 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-9))
 (630 630 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (630 630 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (630 630 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (630 315 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (630 2 (:REWRITE FATI-WHEN-LOFAT-FS-P . 1))
 (609 28 (:DEFINITION LENGTH))
 (499 499 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (486 165 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (441 63 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 2))
 (441 63 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 3))
 (420 4 (:REWRITE FAT-LENGTH-OF-PLACE-CONTENTS))
 (376 376 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (324 324 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (268 64 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (247 247 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (215 215 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (198 198 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (192 192 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (132 132 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (128 128 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (124 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-APPEND))
 (111 111 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (103 103 (:REWRITE FREE-INDEX-LISTP-OF-FIND-N-FREE-CLUSTERS))
 (100 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (77 71 (:REWRITE FAT32-ENTRY-LIST-P-OF-EFFECTIVE-FAT))
 (72 4 (:REWRITE LEN-OF-APPEND))
 (64 32 (:REWRITE FAT32-ENTRY-MASK-OF-FAT32-UPDATE-LOWER-28))
 (51 9 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (37 37 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-23))
 (37 7 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (29 29 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-2))
 (28 4 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 3))
 (28 4 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 2))
 (27 9 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (24 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-D-E-CC))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (21 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-32))
 (16 8 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (8 8 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (8 4 (:REWRITE LIST-FIX-WHEN-TRUE-LISTP))
 (8 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (6 6 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (6 1 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (5 1 (:REWRITE D-E-CC-OF-LOFAT-PLACE-FILE-DISJOINT))
 (4 4 (:REWRITE FAT32-ENTRY-MASK-CORRECTNESS-1))
 (4 4 (:REWRITE FAT-ENTRY-COUNT-OF-UPDATE-FATI))
 (4 4 (:REWRITE CDR-CONS))
 (3 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE SUBSETP-OF-CDR))
 )
(D-E-CC-OF-LOFAT-PLACE-FILE-COINCIDENT-1
 (422522 26711 (:DEFINITION FIND-D-E))
 (415849 1017 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (411108 2752 (:REWRITE CONSP-OF-FIND-N-FREE-CLUSTERS))
 (284667 72769 (:REWRITE DEFAULT-CDR))
 (252983 1799 (:DEFINITION FREE-INDEX-LISTP))
 (219034 121046 (:REWRITE DEFAULT-+-2))
 (215497 27717 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (212058 404 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (180938 2630 (:REWRITE NOT-INTERSECTP-LIST-OF-LOFAT-TO-HIFAT-HELPER))
 (159560 27214 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (153941 121046 (:REWRITE DEFAULT-+-1))
 (144432 328 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (116053 75689 (:REWRITE DEFAULT-<-2))
 (107393 1407 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-2))
 (102333 589 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (101744 4360 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (101545 75689 (:REWRITE DEFAULT-<-1))
 (97345 4360 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (90882 55556 (:REWRITE DEFAULT-CAR))
 (66522 16752 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (65469 11446 (:REWRITE STR::CONSP-OF-EXPLODE))
 (59926 2630 (:REWRITE NOT-INTERSECTP-LIST-WHEN-SUBSETP-1))
 (56620 2630 (:REWRITE NOT-INTERSECTP-LIST-WHEN-ATOM))
 (54580 1365 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (54428 54428 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (52963 8353 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (52746 806 (:REWRITE LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-2-LEMMA-2))
 (51664 4378 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (47670 8805 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (47465 2847 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-1))
 (44340 5057 (:DEFINITION POSITION-EQUAL-AC))
 (43436 570 (:DEFINITION MEMBER-INTERSECTP-EQUAL))
 (27916 4624 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-4))
 (24388 503 (:DEFINITION PLACE-D-E))
 (21804 21804 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (18204 18204 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (17169 17169 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (17059 12535 (:REWRITE NTH-WHEN-D-E-P . 2))
 (16875 714 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-1))
 (13521 4507 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (13521 4507 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (13154 3346 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (11549 4313 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-17))
 (10518 396 (:REWRITE D-E-CC-OF-LOFAT-PLACE-FILE-DISJOINT))
 (9014 9014 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8208 132 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8142 51 (:REWRITE LEN-UPDATE-NTH))
 (7343 215 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-87))
 (6904 251 (:REWRITE NOT-INTERSECTP-LIST-OF-FIND-N-FREE-CLUSTERS))
 (6652 187 (:REWRITE FATI-OF-PLACE-CONTENTS-DISJOINT))
 (6124 88 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (5464 2732 (:REWRITE DEFAULT-*-2))
 (5080 2286 (:REWRITE NTH-WHEN-D-E-P . 3))
 (3978 44 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (3975 249 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (3951 503 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (3689 404 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (3459 3459 (:TYPE-PRESCRIPTION MEMBER-INTERSECTP-EQUAL))
 (3390 251 (:REWRITE NON-FREE-INDEX-LIST-LISTP-OF-SET-INDICES-IN-FA-TABLE))
 (2888 70 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (2761 251 (:DEFINITION NON-FREE-INDEX-LIST-LISTP))
 (2732 2732 (:REWRITE DEFAULT-*-1))
 (2630 2630 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-2 . 2))
 (2245 546 (:REWRITE INTERSECTP-OF-SELF))
 (2111 2111 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (2100 70 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (1731 1731 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1723 1723 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 2))
 (1723 1723 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-121 . 1))
 (1679 1679 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (1677 559 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (1509 503 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (1326 26 (:REWRITE LOFAT-TO-HIFAT-HELPER-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-1 . 1))
 (1255 1255 (:TYPE-PRESCRIPTION NON-FREE-INDEX-LIST-LISTP))
 (1153 1153 (:REWRITE NOT-INTERSECTP-LIST-OF-SET-DIFFERENCE$-LEMMA-3))
 (1153 1153 (:REWRITE MEMBER-INTERSECTP-WITH-SUBSET))
 (1153 1153 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-46))
 (1140 570 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-93))
 (1118 1118 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (1040 485 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (999 999 (:TYPE-PRESCRIPTION NATS=>STRING))
 (863 619 (:REWRITE DEFAULT-UNARY-MINUS))
 (840 840 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (840 840 (:REWRITE INTERSECTP-MEMBER . 3))
 (840 840 (:REWRITE INTERSECTP-MEMBER . 2))
 (836 836 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-64))
 (714 714 (:REWRITE D-E-CC-OF-PLACE-CONTENTS-COINCIDENT-2))
 (600 600 (:REWRITE MEMBER-OF-CAR))
 (540 540 (:TYPE-PRESCRIPTION FAT32$C-P))
 (503 503 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (420 112 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (385 7 (:DEFINITION LENGTH))
 (384 88 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (350 35 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-1))
 (349 349 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (308 308 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (280 70 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (264 88 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (249 51 (:DEFINITION MAX))
 (223 223 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (210 105 (:REWRITE D-E-CC-OF-CLEAR-CC))
 (140 140 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (140 70 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (128 20 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-1))
 (120 24 (:TYPE-PRESCRIPTION MAX))
 (88 88 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (88 88 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (56 20 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-2))
 (44 44 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (40 8 (:TYPE-PRESCRIPTION TRUE-LISTP-UPDATE-NTH))
 (35 35 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-2))
 (16 4 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-11))
 (8 8 (:TYPE-PRESCRIPTION UPDATE-NTH))
 (8 8 (:TYPE-PRESCRIPTION TRUE-LISTP))
 )