File: tar-stuff%40useless-runes.lsp

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acl2 8.5dfsg-5
links: PTS
area: main
in suites: bookworm
size: 991,452 kB
sloc: lisp: 15,567,759; javascript: 22,820; cpp: 13,929; ansic: 12,092; perl: 7,150; java: 4,405; xml: 3,884; makefile: 3,507; sh: 3,187; ruby: 2,633; ml: 763; python: 746; yacc: 723; awk: 295; csh: 186; php: 171; lex: 154; tcl: 49; asm: 23; haskell: 17
file content (7435 lines) | stat: -rw-r--r-- 367,200 bytes
(LIST-EQUIV-WHEN-TRUE-LISTP
 (136 17 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (85 17 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (34 34 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (34 34 (:TYPE-PRESCRIPTION D-E-P))
 (34 34 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (34 17 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (34 17 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (32 32 (:REWRITE DEFAULT-CDR))
 (29 29 (:REWRITE DEFAULT-CAR))
 (17 17 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (17 17 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (17 17 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (17 17 (:REWRITE SET::IN-SET))
 (11 11 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (11 11 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 )
(CONSP-OF-REMOVE-ASSOCS-EQUAL
 (405 98 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (348 15 (:REWRITE SUBSETP-CAR-MEMBER))
 (132 81 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (116 80 (:REWRITE SUBSETP-TRANS))
 (49 49 (:REWRITE DEFAULT-CAR))
 (34 34 (:TYPE-PRESCRIPTION STRIP-CARS))
 (24 4 (:REWRITE SUBSETP-CONS-2))
 (17 17 (:REWRITE CONSP-OF-STRIP-CARS))
 (17 1 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (16 16 (:REWRITE DEFAULT-CDR))
 (15 15 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (15 15 (:REWRITE MEMBER-WHEN-ATOM))
 (15 15 (:REWRITE INTERSECTP-MEMBER . 3))
 (15 15 (:REWRITE INTERSECTP-MEMBER . 2))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (15 15 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (15 15 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (12 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 3 (:REWRITE SET-EQUIV-ASYM))
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 )
(M1-FILE-ALIST-P-OF-REMOVE-ASSOCS-EQUAL
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 (466 116 (:REWRITE SUBSETP-WHEN-SUBSETP))
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 (92 23 (:DEFINITION STRIP-CARS))
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 (23 23 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (23 23 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
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(ASSOC-OF-REMOVE-ASSOCS
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 (200 200 (:REWRITE SUBSETP-TRANS))
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 (63 63 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (63 63 (:REWRITE INTERSECT-WITH-SUBSET . 15))
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(REMOVE-ASSOCS-EQUAL-WHEN-ATOM
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 (24 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
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 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
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 (15 15 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
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 (14 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (13 13 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (13 13 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (12 12 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 1))
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 (11 11 (:TYPE-PRESCRIPTION NULL))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (11 11 (:DEFINITION NULL))
 (10 10 (:TYPE-PRESCRIPTION ZP))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (9 9 (:REWRITE SUBSETP-MEMBER . 3))
 (9 9 (:REWRITE MEMBER-WHEN-ATOM))
 (9 9 (:REWRITE INTERSECTP-MEMBER . 2))
 (8 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (6 6 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (4 4 (:REWRITE MEMBER-OF-CAR))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(TAR-LEN-DECODE-HELPER
 (6 1 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LISTP))
 (4 1 (:REWRITE STR::CHARACTER-LISTP-WHEN-DEC-DIGIT-CHAR-LISTP))
 (2 2 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 )
(TAR-LEN-DECODE
 (140 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
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 (58 6 (:DEFINITION LEN))
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 (30 1 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (25 25 (:TYPE-PRESCRIPTION LEN))
 (25 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (23 2 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LISTP))
 (22 7 (:REWRITE DEFAULT-CDR))
 (19 1 (:REWRITE LENGTH-WHEN-STRINGP))
 (18 12 (:REWRITE STR::CONSP-OF-EXPLODE))
 (14 1 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-OF-REVAPPEND))
 (12 6 (:REWRITE DEFAULT-+-2))
 (12 2 (:REWRITE STR::CHARACTER-LISTP-WHEN-DEC-DIGIT-CHAR-LISTP))
 (12 1 (:DEFINITION REVAPPEND))
 (10 10 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10 10 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (10 1 (:DEFINITION UNSIGNED-BYTE-P))
 (9 1 (:DEFINITION INTEGER-RANGE-P))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (7 7 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LISTP))
 (6 6 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-SUBSETP-EQUAL))
 (6 6 (:REWRITE DEFAULT-+-1))
 (6 3 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (6 2 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
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 (4 4 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (4 4 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-LISTP))
 (4 4 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (4 4 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE DEFAULT-*-2))
 (4 1 (:REWRITE DEFAULT-CAR))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE DEFAULT-*-1))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 1 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:TYPE-PRESCRIPTION REVAPPEND))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1 1 (:REWRITE LIST-FIX-UNDER-LIST-EQUIV))
 (1 1 (:REWRITE DEFAULT-<-2))
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(TAR-NAME-DECODE
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 (60 18 (:REWRITE DEFAULT-CDR))
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 (50 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
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 (23 23 (:REWRITE DEFAULT-+-1))
 (22 22 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (22 22 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (19 1 (:REWRITE THEN-SUBSEQ-SAME-2))
 (19 1 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (14 14 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
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 (8 8 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (8 8 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
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 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
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 (1 1 (:TYPE-PRESCRIPTION TAR-NAME-DECODE))
 (1 1 (:REWRITE NTH-WHEN-PREFIXP))
 )
(PROCESS-DIR-FILE
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 (132 132 (:TYPE-PRESCRIPTION ZP))
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 (9 1 (:REWRITE LOFAT-MKDIR-REFINEMENT))
 (7 7 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 2))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE PRINC$-OF-PRINC$))
 (2 1 (:LINEAR LOFAT-TO-HIFAT-CORRECTNESS-1))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
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(PROCESS-REG-FILE
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 (9 1 (:REWRITE LOFAT-PWRITE-REFINEMENT))
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 (6 4 (:REWRITE PRINC$-OF-PRINC$))
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 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
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(FD-TABLE-P-OF-PROCESS-REG-FILE
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 (1 1 (:TYPE-PRESCRIPTION INTEGERP-OF-LOFAT-PWRITE . 1))
 )
(FILE-TABLE-P-OF-PROCESS-REG-FILE
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 (2 2 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1 1 (:TYPE-PRESCRIPTION INTEGERP-OF-LOFAT-PWRITE . 1))
 )
(LOFAT-FS-P-OF-PROCESS-REG-FILE
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 (5403 5403 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (5365 41 (:DEFINITION LOFAT-FIND-FILE))
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 (4960 176 (:REWRITE LOFAT-PWRITE-REFINEMENT-LEMMA-2))
 (4840 432 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (4686 4686 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (4554 4554 (:TYPE-PRESCRIPTION LOFAT-FILE))
 (4464 132 (:DEFINITION PLACE-D-E))
 (4455 33 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (4122 1374 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4122 1374 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
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 (3630 3630 (:REWRITE NTH-WHEN-PREFIXP))
 (3630 165 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (3432 462 (:DEFINITION NFIX))
 (3333 66 (:REWRITE FATI-OF-CLEAR-CC . 3))
 (3309 1021 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3300 330 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (3264 1056 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (3135 1023 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2922 2922 (:TYPE-PRESCRIPTION LOFAT-DIRECTORY-FILE-P))
 (2913 2913 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (2901 906 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (2763 2763 (:TYPE-PRESCRIPTION D-E-DIRECTORY-P))
 (2748 2748 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (2748 2748 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
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 (2599 746 (:REWRITE STR::CONSP-OF-EXPLODE))
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 (2012 610 (:REWRITE DEFAULT-*-2))
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 (1320 1320 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-44))
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 (688 88 (:REWRITE LOFAT-PWRITE-REFINEMENT-LEMMA-49))
 (660 528 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
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 (538 538 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (528 264 (:TYPE-PRESCRIPTION LOFAT-FILE-CONTENTS-FIX))
 (528 132 (:REWRITE D-E-CC-CORRECTNESS-1))
 (483 129 (:REWRITE GOOD-ROOT-D-E-P-OF-PSEUDO-ROOT-D-E))
 (436 152 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (432 432 (:TYPE-PRESCRIPTION FILE-TABLE-ELEMENT->FID$INLINE))
 (429 429 (:TYPE-PRESCRIPTION FAT-LENGTH))
 (429 429 (:REWRITE NTH-WHEN-D-E-P . 3))
 (416 107 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (413 413 (:REWRITE USEFUL-D-E-LIST-P-OF-ROOT-D-E-LIST))
 (396 396 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (396 198 (:REWRITE FAT32-UPDATE-LOWER-28-CORRECTNESS-1 . 1))
 (396 132 (:REWRITE USEFUL-D-E-LIST-P-OF-CDR))
 (396 132 (:REWRITE NATS=>STRING-OF-STRING=>NATS))
 (363 363 (:TYPE-PRESCRIPTION FAT32$C-P))
 (330 330 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (330 165 (:REWRITE FAT-LENGTH-OF-CLEAR-CC))
 (330 66 (:REWRITE FAT32-MASKED-ENTRY-P-OF-D-E-FIRST-CLUSTER))
 (315 105 (:REWRITE LOFAT-OPENDIR-CORRECTNESS-LEMMA-1))
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 (297 297 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (294 294 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
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 (264 264 (:TYPE-PRESCRIPTION NATP-OF-UPDATE-DIR-CONTENTS))
 (264 264 (:TYPE-PRESCRIPTION LOFAT-PLACE-FILE-HELPER))
 (264 264 (:TYPE-PRESCRIPTION LOFAT-FILE-CONTENTS-P))
 (264 264 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (264 264 (:REWRITE D-E-FILENAME-OF-D-E-SET-FIRST-CLUSTER-FILE-SIZE))
 (264 132 (:REWRITE STR-FIX-WHEN-STRINGP))
 (264 132 (:REWRITE LOFAT-REGULAR-FILE-P-CORRECTNESS-1))
 (264 33 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (261 33 (:REWRITE D-E-FIRST-CLUSTER-OF-MAKE-D-E-WITH-FILENAME))
 (256 256 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (246 82 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-1))
 (240 240 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-3))
 (231 231 (:TYPE-PRESCRIPTION NATS=>STRING))
 (231 231 (:REWRITE LOFAT-FS-P-OF-CLEAR-CC))
 (228 114 (:LINEAR LOFAT-TO-HIFAT-CORRECTNESS-1))
 (228 114 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (206 206 (:REWRITE FAT32-FILENAME-LIST-P-OF-FILE-TABLE-ELEMENT->FID))
 (198 198 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (192 192 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (192 32 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (165 165 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
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 (152 152 (:TYPE-PRESCRIPTION CEILING))
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 (132 132 (:REWRITE SUBSETP-TRANS))
 (132 132 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (132 132 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-44))
 (132 132 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (132 132 (:REWRITE EXPLODE-OF-NATS=>STRING))
 (132 132 (:REWRITE D-E-P-OF-SET-FIRST-CLUSTER-FILE-SIZE))
 (132 132 (:REWRITE D-E-DIRECTORY-P-OF-PSEUDO-ROOT-D-E))
 (132 132 (:REWRITE CLUSTER-SIZE-OF-CLEAR-CC))
 (132 108 (:REWRITE PRINC$-OF-PRINC$))
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 (123 123 (:REWRITE-QUOTED-CONSTANT LOFAT-FILE-CONTENTS-FIX-UNDER-LOFAT-FILE-CONTENTS-EQUIV))
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 (88 8 (:LINEAR LOFAT-PWRITE-REFINEMENT-LEMMA-8))
 (88 8 (:LINEAR LOFAT-PWRITE-REFINEMENT-LEMMA-50))
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 (66 66 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (66 66 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (66 66 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (66 66 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (66 66 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (66 66 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (66 66 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (66 66 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (66 66 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (66 66 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (66 66 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (66 66 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (66 33 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (64 64 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (60 15 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (48 24 (:REWRITE LOFAT-FILE-CONTENTS-P-WHEN-D-E-LISTP))
 (47 47 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (47 47 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (45 15 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-5))
 (33 33 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 (32 32 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (21 21 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-6 . 2))
 (21 21 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-6 . 1))
 (6 2 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-2))
 )
(LOFAT-FS-P-OF-PROCESS-DIR-FILE
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 (33554 291 (:DEFINITION FREE-INDEX-LISTP))
 (30459 304 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (29762 25 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (25388 1355 (:DEFINITION FIND-D-E))
 (15253 23 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-DISJOINT))
 (14794 102 (:REWRITE LOFAT-TO-HIFAT-INVERSION-LEMMA-11))
 (13942 87 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (12530 1355 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (12137 1020 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (11600 4234 (:REWRITE DEFAULT-<-2))
 (9998 582 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (9757 766 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (9663 4234 (:REWRITE DEFAULT-<-1))
 (7782 622 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (7725 23 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-1))
 (7436 4355 (:REWRITE DEFAULT-+-2))
 (7110 1355 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (7105 46 (:REWRITE D-E-CC-OF-UPDATE-FATI))
 (6333 3049 (:REWRITE DEFAULT-CDR))
 (5870 582 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (5796 100 (:LINEAR LEN-OF-FAT32-BUILD-INDEX-LIST-1 . 1))
 (5600 4355 (:REWRITE DEFAULT-+-1))
 (5302 763 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (4968 540 (:REWRITE D-E-CC-UNDER-IFF . 3))
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 (3729 89 (:REWRITE REPEAT-WHEN-ZP))
 (3690 738 (:LINEAR NTH-WHEN-D-E-P))
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 (3393 2519 (:REWRITE DEFAULT-CAR))
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 (3165 18 (:DEFINITION INTEGER-LISTP))
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 (2261 205 (:REWRITE GOOD-ROOT-D-E-P-OF-PSEUDO-ROOT-D-E))
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 (2148 100 (:LINEAR PAINFUL-DEBUGGING-LEMMA-10))
 (1959 1959 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (1932 1932 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1892 1892 (:TYPE-PRESCRIPTION FAT32-ENTRY-MASK))
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 (1620 60 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (1554 74 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-26))
 (1532 1532 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1526 1526 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (1449 69 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 3))
 (1415 1415 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (1344 1344 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 2))
 (1324 1324 (:REWRITE NTH-WHEN-PREFIXP))
 (1312 30 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-1))
 (1302 434 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1302 434 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1296 400 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-10))
 (1192 1192 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (1136 590 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (1128 582 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (1072 120 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (1040 30 (:REWRITE D-E-CC-OF-CLEAR-CC))
 (1035 1035 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (1005 117 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (996 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (966 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-98))
 (926 460 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (896 400 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (888 888 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (883 883 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (868 868 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (868 868 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (778 26 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-1))
 (767 87 (:REWRITE SUBSETP-MEMBER . 3))
 (767 41 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (766 374 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (723 496 (:TYPE-PRESCRIPTION LAST))
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 (696 85 (:REWRITE SUBSETP-MEMBER . 1))
 (630 310 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (620 620 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (602 21 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (586 374 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (586 26 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (554 434 (:LINEAR POSITION-WHEN-MEMBER))
 (524 228 (:REWRITE NTH-WHEN-D-E-P . 2))
 (520 54 (:REWRITE CONSP-OF-LAST))
 (460 20 (:REWRITE D-E-CC-CONTENTS-OF-CLEAR-CC))
 (444 444 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (433 433 (:REWRITE USEFUL-D-E-LIST-P-OF-ROOT-D-E-LIST))
 (420 20 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-9))
 (420 20 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-9))
 (400 400 (:TYPE-PRESCRIPTION CEILING))
 (400 20 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (384 192 (:LINEAR LOFAT-TO-HIFAT-CORRECTNESS-1))
 (356 178 (:REWRITE DEFAULT-*-2))
 (356 54 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (345 69 (:LINEAR LEN-OF-D-E-LIST-FROM-FIRST-CLUSTER-WHEN-SUBDIR-CONTENTS-P . 2))
 (332 46 (:REWRITE D-E-CC-CONTENTS-OF-UPDATE-FATI))
 (309 309 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (304 8 (:REWRITE ACL2-NUMBER-LISTP-OF-CDR-WHEN-ACL2-NUMBER-LISTP))
 (294 98 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (291 97 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-4))
 (266 266 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (252 84 (:REWRITE LOFAT-PREAD-REFINEMENT-LEMMA-1))
 (216 120 (:REWRITE INTERSECTP-MEMBER . 1))
 (210 30 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 2))
 (210 30 (:REWRITE GET-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-5 . 1))
 (207 69 (:LINEAR LENGTH-OF-D-E-CC-CONTENTS . 1))
 (193 48 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (178 178 (:REWRITE DEFAULT-*-1))
 (172 91 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (172 27 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (165 46 (:DEFINITION POSITION-EQUAL-AC))
 (138 138 (:TYPE-PRESCRIPTION SUBDIR-CONTENTS-P))
 (120 120 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (120 120 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (120 120 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (120 120 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (120 120 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (120 120 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (120 120 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (120 120 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (120 120 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (120 120 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (120 120 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (120 120 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (120 10 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (119 74 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (112 112 (:TYPE-PRESCRIPTION FAT32-UPDATE-LOWER-28))
 (108 4 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (107 107 (:REWRITE SUBSETP-TRANS2))
 (107 107 (:REWRITE SUBSETP-TRANS))
 (105 15 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (95 15 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (94 94 (:REWRITE PRINC$-OF-PRINC$))
 (87 87 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (87 87 (:REWRITE INTERSECTP-MEMBER . 3))
 (87 87 (:REWRITE INTERSECTP-MEMBER . 2))
 (87 87 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (81 27 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-1))
 (69 69 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (69 23 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-2))
 (64 13 (:DEFINITION BINARY-APPEND))
 (63 63 (:TYPE-PRESCRIPTION LOFAT-REGULAR-FILE-P))
 (63 3 (:REWRITE LOFAT-PWRITE-REFINEMENT-LEMMA-1))
 (53 53 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (52 52 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (52 52 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (45 45 (:REWRITE NTH-WHEN-D-E-P . 3))
 (45 15 (:REWRITE LOFAT-OPENDIR-CORRECTNESS-LEMMA-1))
 (40 10 (:LINEAR NATP-OF-CLUSTER-SIZE))
 (40 10 (:DEFINITION POSITION-EQUAL))
 (38 38 (:REWRITE-QUOTED-CONSTANT LOFAT-FILE-CONTENTS-FIX-UNDER-LOFAT-FILE-CONTENTS-EQUIV))
 (30 30 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 4))
 (30 30 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 3))
 (30 30 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 1))
 (30 10 (:REWRITE LOFAT-UNLINK-REFINEMENT-LEMMA-4))
 (28 12 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (27 27 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (27 27 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (27 9 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-5))
 (24 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (20 20 (:REWRITE LOFAT-FIND-FILE-CORRECTNESS-3))
 (18 18 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-7 . 5))
 (17 17 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (13 13 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (12 12 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 3 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-2))
 (10 10 (:REWRITE SUBSETP-REFL))
 (10 10 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-3))
 (10 10 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 3))
 (10 10 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 2))
 (9 9 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIRNAME))
 (8 8 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (8 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (8 8 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-44))
 (5 5 (:REWRITE-QUOTED-CONSTANT LOFAT-FILE-FIX-UNDER-LOFAT-FILE-EQUIV))
 (5 5 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-6 . 2))
 (5 5 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-6 . 1))
 (4 4 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FATI-OF-CLEAR-CC . 2))
 (1 1 (:REWRITE NAT-LISTP-OF-STOBJ-FIND-N-FREE-CLUSTERS . 1))
 )
(PROCESS-BLOCK-SEQUENCE
 (8794 758 (:DEFINITION LEN))
 (5808 1936 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (5307 27 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (4172 1333 (:REWRITE STR::CONSP-OF-EXPLODE))
 (3712 250 (:REWRITE THEN-SUBSEQ-SAME-2))
 (3462 630 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (3027 816 (:REWRITE DEFAULT-CDR))
 (2418 69 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (2046 786 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1941 865 (:REWRITE DEFAULT-+-2))
 (1939 1939 (:TYPE-PRESCRIPTION ZP))
 (1903 26 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (1227 676 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1221 69 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1149 58 (:DEFINITION BINARY-APPEND))
 (960 285 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (901 222 (:REWRITE DEFAULT-<-1))
 (865 865 (:REWRITE DEFAULT-+-1))
 (840 840 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (786 786 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (651 213 (:REWRITE DEFAULT-*-2))
 (600 600 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (540 12 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (482 222 (:REWRITE DEFAULT-<-2))
 (476 4 (:REWRITE LOFAT-MKDIR-REFINEMENT))
 (450 150 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (450 150 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (433 3 (:REWRITE NFIX-WHEN-ZP))
 (420 420 (:REWRITE SUBSETP-MEMBER . 1))
 (387 3 (:REWRITE ZP-OPEN))
 (342 66 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (300 300 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (300 300 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (276 276 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (264 12 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (246 18 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (229 58 (:REWRITE DEFAULT-CAR))
 (213 213 (:REWRITE DEFAULT-*-1))
 (183 42 (:DEFINITION UNSIGNED-BYTE-P))
 (180 12 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (180 12 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (174 102 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (150 150 (:LINEAR POSITION-WHEN-MEMBER))
 (150 150 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (145 91 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (141 42 (:DEFINITION INTEGER-RANGE-P))
 (132 12 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-RIGHT))
 (120 24 (:LINEAR NTH-WHEN-D-E-P))
 (110 22 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (102 102 (:REWRITE SUBSETP-TRANS2))
 (102 102 (:REWRITE SUBSETP-TRANS))
 (72 6 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-LEFT))
 (69 69 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (66 66 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (56 56 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 2))
 (48 48 (:TYPE-PRESCRIPTION D-E-P))
 (48 48 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (46 38 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (44 44 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (44 44 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (44 1 (:REWRITE CONSP-OF-APPEND))
 (36 4 (:REWRITE LOFAT-PWRITE-REFINEMENT))
 (36 3 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (32 32 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (32 32 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (27 27 (:REWRITE NTH-WHEN-PREFIXP))
 (24 24 (:TYPE-PRESCRIPTION NAT-LISTP))
 (24 24 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (22 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (18 18 (:TYPE-PRESCRIPTION SET-EQUIV))
 (16 8 (:LINEAR LOFAT-TO-HIFAT-CORRECTNESS-1))
 (15 3 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LISTP))
 (12 12 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (12 12 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (12 12 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (11 3 (:REWRITE STR::CHARACTER-LISTP-WHEN-DEC-DIGIT-CHAR-LISTP))
 (9 1 (:LINEAR PAINFUL-DEBUGGING-LEMMA-10))
 (4 4 (:TYPE-PRESCRIPTION LOFAT-MKDIR-CORRECTNESS-1 . 1))
 (4 4 (:TYPE-PRESCRIPTION INTEGERP-OF-LOFAT-PWRITE . 1))
 (4 4 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LISTP))
 (4 4 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-LISTP))
 (4 4 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (4 2 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:LINEAR LISTPOS-COMPLETE))
 )
(TAR-LEN-ENCODE-HELPER
 (192 40 (:TYPE-PRESCRIPTION MOD-ZERO . 1))
 (192 40 (:TYPE-PRESCRIPTION MOD-POSITIVE . 2))
 (84 84 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (84 84 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (84 84 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (84 84 (:TYPE-PRESCRIPTION NOT-INTEGERP-1B))
 (40 40 (:TYPE-PRESCRIPTION MOD-ZERO . 2))
 (40 40 (:TYPE-PRESCRIPTION MOD-POSITIVE . 1))
 (40 40 (:TYPE-PRESCRIPTION MOD-NONPOSITIVE))
 (40 40 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 2))
 (40 40 (:TYPE-PRESCRIPTION MOD-NEGATIVE . 1))
 (21 1 (:REWRITE MOD-ZERO . 2))
 (21 1 (:LINEAR MOD-BOUNDS-3))
 (17 1 (:REWRITE CANCEL-MOD-+))
 (12 3 (:REWRITE |(* y x)|))
 (11 1 (:REWRITE MOD-X-Y-=-X . 4))
 (8 1 (:REWRITE MOD-X-Y-=-X . 3))
 (7 1 (:REWRITE MOD-ZERO . 3))
 (6 6 (:TYPE-PRESCRIPTION NOT-INTEGERP-4A))
 (6 6 (:TYPE-PRESCRIPTION NOT-INTEGERP-3A))
 (6 6 (:TYPE-PRESCRIPTION NOT-INTEGERP-2A))
 (6 6 (:TYPE-PRESCRIPTION NOT-INTEGERP-1A))
 (3 3 (:REWRITE REDUCE-INTEGERP-+))
 (3 3 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (3 3 (:REWRITE INTEGERP-MINUS-X))
 (3 3 (:REWRITE DEFAULT-*-2))
 (3 3 (:REWRITE DEFAULT-*-1))
 (3 3 (:REWRITE |(integerp (* c x))|))
 (3 3 (:META META-INTEGERP-CORRECT))
 (2 2 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-15))
 (2 2 (:TYPE-PRESCRIPTION FLOOR-ZERO . 3))
 (2 2 (:TYPE-PRESCRIPTION FLOOR-ZERO . 2))
 (2 2 (:TYPE-PRESCRIPTION FLOOR-ZERO . 1))
 (2 2 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 2))
 (2 2 (:TYPE-PRESCRIPTION FLOOR-POSITIVE . 1))
 (2 2 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE-2))
 (2 2 (:TYPE-PRESCRIPTION FLOOR-NONPOSITIVE-1))
 (2 2 (:TYPE-PRESCRIPTION FLOOR-NONNEGATIVE-2))
 (2 2 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 2))
 (2 2 (:TYPE-PRESCRIPTION FLOOR-NEGATIVE . 1))
 (2 2 (:REWRITE SIMPLIFY-SUMS-<))
 (2 2 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (2 2 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (2 2 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (2 2 (:REWRITE MOD-COMPLETION))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE |(< (- x) (- y))|))
 (2 2 (:LINEAR MOD-BOUNDS-2))
 (1 1 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (1 1 (:REWRITE SIMPLIFY-TERMS-SUCH-AS-A+AB-=-0))
 (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 SIMPLIFY-MOD-+-MOD-WEAK))
 (1 1 (:REWRITE SIMPLIFY-MOD-+-MINUS-MOD))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-EQUAL))
 (1 1 (:REWRITE MOD-X-Y-=-X . 2))
 (1 1 (:REWRITE MOD-NEG))
 (1 1 (:REWRITE MOD-MINUS-2))
 (1 1 (:REWRITE MOD-CANCEL-*))
 (1 1 (:REWRITE |(equal (- x) 0)|))
 (1 1 (:REWRITE |(equal (- x) (- y))|))
 (1 1 (:REWRITE |(< 0 (- x))|))
 )
(LEN-OF-TAR-LEN-ENCODE-HELPER
 (96 4 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (80 80 (:TYPE-PRESCRIPTION MOD))
 (72 4 (:REWRITE DEFAULT-CODE-CHAR))
 (61 9 (:REWRITE ZP-OPEN))
 (52 52 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (40 8 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (39 13 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (35 34 (:REWRITE DEFAULT-<-1))
 (34 34 (:REWRITE DEFAULT-<-2))
 (26 26 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (26 26 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (26 18 (:REWRITE DEFAULT-+-2))
 (22 18 (:REWRITE DEFAULT-+-1))
 (13 13 (:LINEAR POSITION-WHEN-MEMBER))
 (13 13 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 6 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (6 5 (:REWRITE DEFAULT-CDR))
 (5 1 (:REWRITE NFIX-WHEN-NATP))
 (4 4 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (4 1 (:REWRITE NFIX-WHEN-ZP))
 (3 1 (:DEFINITION NATP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:LINEAR LISTPOS-COMPLETE))
 )
(CHARACTER-LISTP-OF-TAR-LEN-ENCODE-HELPER
 (72 8 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LISTP))
 (72 3 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (60 60 (:TYPE-PRESCRIPTION MOD))
 (54 3 (:REWRITE DEFAULT-CODE-CHAR))
 (52 8 (:REWRITE STR::CHARACTER-LISTP-WHEN-DEC-DIGIT-CHAR-LISTP))
 (46 7 (:REWRITE ZP-OPEN))
 (30 6 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (21 21 (:REWRITE DEFAULT-<-2))
 (21 21 (:REWRITE DEFAULT-<-1))
 (19 19 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LISTP))
 (19 19 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-LISTP))
 (18 18 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-SUBSETP-EQUAL))
 (15 9 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (15 9 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (14 1 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-OF-CONS))
 (12 6 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (11 8 (:REWRITE DEFAULT-+-2))
 (11 8 (:REWRITE DEFAULT-+-1))
 (10 1 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-OF-CONS))
 (6 3 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-OF-CDR-WHEN-HEX-DIGIT-CHAR-LISTP))
 (6 3 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-OF-CDR-WHEN-DEC-DIGIT-CHAR-LISTP))
 (5 4 (:REWRITE DEFAULT-CDR))
 (5 4 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (2 2 (:REWRITE STR::HEX-DIGIT-CHAR-P-WHEN-MEMBER-EQUAL-OF-HEX-DIGIT-CHAR-LISTP))
 (2 1 (:REWRITE STR::HEX-DIGIT-CHAR-P-WHEN-NONZERO-HEX-DIGIT-CHAR-P))
 (2 1 (:REWRITE STR::DEC-DIGIT-CHAR-P-WHEN-NONZERO-DEC-DIGIT-CHAR-P))
 (1 1 (:TYPE-PRESCRIPTION STR::NONZERO-HEX-DIGIT-CHAR-P$INLINE))
 (1 1 (:TYPE-PRESCRIPTION STR::NONZERO-DEC-DIGIT-CHAR-P$INLINE))
 (1 1 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-P$INLINE))
 (1 1 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-P$INLINE))
 )
(TAR-LEN-ENCODE
 (51 1 (:DEFINITION TAR-LEN-ENCODE-HELPER))
 (24 1 (:REWRITE STR::DEFAULT-CODE-CHAR))
 (20 20 (:TYPE-PRESCRIPTION MOD))
 (18 1 (:REWRITE DEFAULT-CODE-CHAR))
 (14 1 (:REWRITE ZP-OPEN))
 (10 2 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (10 1 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LISTP))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE DEFAULT-<-1))
 (8 1 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-OF-REVAPPEND))
 (7 1 (:REWRITE STR::CHARACTER-LISTP-WHEN-DEC-DIGIT-CHAR-LISTP))
 (5 1 (:DEFINITION REVAPPEND))
 (4 2 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (4 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (4 1 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (4 1 (:REWRITE COMMUTATIVITY-OF-+))
 (3 3 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LISTP))
 (3 2 (:REWRITE DEFAULT-+-2))
 (3 2 (:REWRITE DEFAULT-+-1))
 (3 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2 2 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-LISTP))
 (2 2 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (1 1 (:TYPE-PRESCRIPTION LEN))
 (1 1 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (1 1 (:REWRITE LIST-FIX-UNDER-LIST-EQUIV))
 (1 1 (:REWRITE LEN-OF-TAR-LEN-ENCODE-HELPER))
 (1 1 (:REWRITE DEFAULT-CDR))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(LENGTH-OF-TAR-LEN-ENCODE
 (28 4 (:DEFINITION LEN))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8 8 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (8 8 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 4 (:REWRITE DEFAULT-+-2))
 (8 4 (:REWRITE DEFAULT-*-2))
 (5 5 (:REWRITE DEFAULT-CDR))
 (5 1 (:DEFINITION REVAPPEND))
 (4 4 (:REWRITE DEFAULT-+-1))
 (4 4 (:REWRITE DEFAULT-*-1))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(TAR-HEADER-BLOCK
 (99 9 (:DEFINITION LEN))
 (41 14 (:REWRITE DEFAULT-CDR))
 (37 20 (:REWRITE DEFAULT-+-2))
 (35 11 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (33 3 (:DEFINITION MAKE-LIST-AC))
 (27 27 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (27 18 (:REWRITE STR::CONSP-OF-EXPLODE))
 (20 20 (:REWRITE DEFAULT-+-1))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 6 (:REWRITE DEFAULT-UNARY-MINUS))
 (12 3 (:REWRITE FOLD-CONSTS-IN-+))
 (11 9 (:REWRITE DEFAULT-<-2))
 (10 9 (:REWRITE DEFAULT-<-1))
 (10 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (9 9 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (8 1 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LISTP))
 (6 1 (:REWRITE STR::CHARACTER-LISTP-WHEN-DEC-DIGIT-CHAR-LISTP))
 (5 5 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (3 1 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (3 1 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LISTP))
 (2 2 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-LISTP))
 (2 2 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-SUBSETP-EQUAL))
 )
(HIFAT-TAR-REG-FILE-STRING
 (602 35 (:DEFINITION LEN))
 (472 4 (:DEFINITION MAKE-LIST-AC))
 (328 58 (:REWRITE STR::CONSP-OF-EXPLODE))
 (300 300 (:TYPE-PRESCRIPTION NUMERATOR-NON-POSITIVE-INTEGER-TYPE-PRESCRIPTION))
 (300 300 (:TYPE-PRESCRIPTION NUMERATOR-NEGATIVE-INTEGER-TYPE-PRESCRIPTION))
 (240 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (234 9 (:REWRITE NNIQ-NO-ROUNDING-TO-DO))
 (198 67 (:REWRITE DEFAULT-*-2))
 (190 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (186 31 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (181 76 (:REWRITE DEFAULT-+-2))
 (144 38 (:REWRITE DEFAULT-CDR))
 (128 20 (:REWRITE DENOMINATOR-OF-INTEGER-IS-ONE))
 (126 76 (:REWRITE DEFAULT-+-1))
 (123 67 (:REWRITE DEFAULT-*-1))
 (109 46 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (102 6 (:LINEAR DENOMINATOR-POSITIVE))
 (95 87 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (87 87 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (78 28 (:REWRITE DEFAULT-<-2))
 (75 75 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-10))
 (62 8 (:REWRITE NUMERATOR-OF-INTEGER-IS-THE-INTEGER-ITSELF))
 (59 28 (:REWRITE DEFAULT-<-1))
 (56 20 (:REWRITE DEFAULT-DENOMINATOR))
 (47 47 (:REWRITE NON-INTEGERP-<-INTEGERP))
 (47 47 (:REWRITE INTEGERP-<-NON-INTEGERP))
 (47 47 (:REWRITE EXPT-COMPARE))
 (47 47 (:REWRITE CANCEL-COMMON-FACTORS-IN-<))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (45 9 (:REWRITE NONNEGATIVE-INTEGER-QUOTIENT-WITH-A-NON-POSITIVE-ARG))
 (45 9 (:REWRITE NONNEGATIVE-INTEGER-QUOTIENT-WITH-A-NON-INTEGER-ARG))
 (42 42 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (41 41 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (41 41 (:REWRITE LESS-THAN-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (41 41 (:REWRITE EXPT-COMPARE-EQUAL))
 (41 41 (:REWRITE EQUAL-OF-PREDS-REWRITE))
 (41 41 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (41 41 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (41 41 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL))
 (41 41 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (41 41 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (38 4 (:DEFINITION UNSIGNED-BYTE-P))
 (34 34 (:META CANCEL_PLUS-LESSP-CORRECT))
 (33 33 (:REWRITE POWER2-INTEGER))
 (33 33 (:REWRITE INTEGERP-PROD))
 (33 33 (:REWRITE INTEGERP-MINUS))
 (30 10 (:REWRITE DEFAULT-UNARY-/))
 (30 4 (:DEFINITION INTEGER-RANGE-P))
 (24 24 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (21 21 (:REWRITE SUBSETP-MEMBER . 1))
 (20 8 (:REWRITE NUMERATOR-OF-NON-RATIONAL-IS-ZERO))
 (20 8 (:REWRITE DEFAULT-NUMERATOR))
 (20 1 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LISTP))
 (18 9 (:REWRITE NONNEGATIVE-INTEGER-QUOTIENT-WITH-A-NON-POSITIVE-ARG-2))
 (18 9 (:REWRITE NONNEGATIVE-INTEGER-QUOTIENT-WITH-A-NON-INTEGER-ARG-2))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (18 6 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (18 1 (:REWRITE STR::CHARACTER-LISTP-WHEN-DEC-DIGIT-CHAR-LISTP))
 (15 1 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (15 1 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (13 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (12 12 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (12 12 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (10 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (9 9 (:REWRITE NNIQ-INT))
 (8 1 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER))
 (6 6 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 3 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (5 1 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE FOLD-CONSTS-IN-+))
 (4 4 (:REWRITE EXPT-EXECUTE-REWRITE))
 (4 4 (:REWRITE A4))
 (3 3 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (2 2 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LISTP))
 (2 2 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-LISTP))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 1 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1 1 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (1 1 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE SET::IN-SET))
 )
(GET-NAMES-FROM-DIRP
 (4503 39 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (4449 6 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (3714 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (3594 18 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (3582 60 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2919 39 (:REWRITE LEN-WHEN-PREFIXP))
 (1806 30 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1620 18 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1545 120 (:DEFINITION ASSOC-EQUAL))
 (1314 36 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1305 465 (:REWRITE DEFAULT-CAR))
 (1137 18 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (840 120 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (780 39 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (681 426 (:REWRITE DEFAULT-CDR))
 (666 18 (:REWRITE EQUAL-OF-DIR-STREAM))
 (579 18 (:DEFINITION PUT-ASSOC-EQUAL))
 (522 18 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (378 378 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (324 18 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (216 72 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (216 72 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (204 102 (:REWRITE DEFAULT-+-2))
 (188 188 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (153 153 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (144 144 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (144 144 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (135 45 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (102 102 (:REWRITE DEFAULT-+-1))
 (93 50 (:REWRITE DEFAULT-<-1))
 (92 50 (:REWRITE DEFAULT-<-2))
 (78 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (72 72 (:LINEAR POSITION-WHEN-MEMBER))
 (72 72 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (60 60 (:TYPE-PRESCRIPTION PREFIXP))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (54 54 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIR-STREAM->FILE-LIST))
 (48 48 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (45 45 (:TYPE-PRESCRIPTION SUBLISTP))
 (36 18 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (36 18 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (36 18 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (30 30 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (30 18 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (27 27 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (18 18 (:TYPE-PRESCRIPTION DIR-STREAM-P))
 (18 18 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (18 18 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (18 18 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (18 18 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (15 6 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (15 6 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (6 6 (:REWRITE SUBLISTP-COMPLETE))
 (5 5 (:REWRITE ZP-OPEN))
 (3 3 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (2 2 (:LINEAR LISTPOS-COMPLETE))
 (2 1 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(GET-NAMES-FROM-DIRP-ALT-LEMMA-1
 (34 34 (:REWRITE DEFAULT-CAR))
 (21 10 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 1 (:REWRITE SUBSETP-WHEN-SUBSETP))
 )
(GET-NAMES-FROM-DIRP-ALT-LEMMA-3
 (342 114 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (78 14 (:DEFINITION ASSOC-EQUAL))
 (65 5 (:REWRITE OMAP::ALISTP-WHEN-MAPP))
 (59 59 (:REWRITE DEFAULT-CAR))
 (40 40 (:REWRITE DEFAULT-CDR))
 (28 5 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (25 5 (:REWRITE OMAP::MFIX-IMPLIES-MAPP))
 (25 5 (:REWRITE OMAP::MAPP-WHEN-NOT-EMPTY))
 (20 20 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (15 5 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (10 10 (:TYPE-PRESCRIPTION OMAP::MFIX))
 (10 10 (:TYPE-PRESCRIPTION OMAP::EMPTY))
 (10 5 (:REWRITE OMAP::MFIX-WHEN-MAPP))
 (10 5 (:REWRITE OMAP::MAPP-NON-NIL-IMPLIES-NON-EMPTY))
 (8 8 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE-QUOTED-CONSTANT TRUE-LIST-LIST-FIX-UNDER-TRUE-LIST-LIST-EQUIV))
 (3 3 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2 1 (:REWRITE SUBSETP-WHEN-SUBSETP))
 )
(GET-NAMES-FROM-DIRP-ALT-LEMMA-2
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE DEFAULT-CAR))
 )
(GET-NAMES-FROM-DIRP-ALT
 (12885 1030 (:DEFINITION ASSOC-EQUAL))
 (11274 3945 (:REWRITE DEFAULT-CAR))
 (7210 1030 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (6920 147 (:REWRITE EQUAL-OF-DIR-STREAM))
 (6392 199 (:DEFINITION PUT-ASSOC-EQUAL))
 (2930 2930 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1465 1465 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (504 504 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (289 289 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (256 256 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (255 90 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (252 252 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (147 147 (:TYPE-PRESCRIPTION DIR-STREAM-P))
 (60 15 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (38 26 (:REWRITE DEFAULT-<-1))
 (35 35 (:REWRITE ZP-OPEN))
 (33 33 (:REWRITE PUT-ASSOC-OF-PUT-ASSOC-2))
 (30 30 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (26 26 (:REWRITE DEFAULT-<-2))
 (24 24 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (12 12 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (12 4 (:DEFINITION NATP))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 )
(FAT32-FILENAME-LIST-P-OF-GET-NAMES-FROM-DIRP
 (3438 70 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (2686 211 (:DEFINITION ASSOC-EQUAL))
 (2254 35 (:REWRITE EQUAL-OF-DIR-STREAM))
 (2250 773 (:REWRITE DEFAULT-CAR))
 (2244 41 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (1686 44 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1477 211 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (1120 35 (:DEFINITION PUT-ASSOC-EQUAL))
 (672 672 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (541 532 (:REWRITE DEFAULT-CDR))
 (486 3 (:REWRITE PUT-ASSOC-OF-PUT-ASSOC-1))
 (336 336 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (312 78 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (258 9 (:REWRITE DIR-STREAM->FILE-LIST-OF-DIR-STREAM))
 (213 18 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (123 123 (:TYPE-PRESCRIPTION DIR-STREAM))
 (73 73 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (66 66 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (66 66 (:REWRITE SUBSETP-TRANS2))
 (66 66 (:REWRITE SUBSETP-TRANS))
 (61 61 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (47 47 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (42 6 (:REWRITE DIR-STREAM-TABLE-P-OF-PUT-ASSOC))
 (38 38 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (36 3 (:REWRITE SET-EQUIV-OF-CONS-SELF))
 (35 35 (:TYPE-PRESCRIPTION DIR-STREAM-P))
 (30 26 (:REWRITE DEFAULT-<-1))
 (28 18 (:REWRITE ZP-OPEN))
 (26 26 (:REWRITE DEFAULT-<-2))
 (24 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (18 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (18 6 (:DEFINITION NATP))
 (15 15 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (15 3 (:REWRITE SUBSETP-CONS-2))
 (12 12 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (9 9 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-FIX-UNDER-DIR-STREAM-EQUIV))
 (9 9 (:REWRITE CDR-CONS))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE DIR-STREAM-P-OF-DIR-STREAM))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE PUT-ASSOC-OF-PUT-ASSOC-2))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE ASSOC-AFTER-PUT-ASSOC))
 )
(DIR-STREAM-TABLE-P-OF-GET-NAMES-FROM-DIRP
 (3522 70 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (3232 211 (:DEFINITION ASSOC-EQUAL))
 (2913 773 (:REWRITE DEFAULT-CAR))
 (2247 41 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (2221 35 (:REWRITE EQUAL-OF-DIR-STREAM))
 (2140 211 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (2055 44 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1237 35 (:DEFINITION PUT-ASSOC-EQUAL))
 (670 169 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (541 532 (:REWRITE DEFAULT-CDR))
 (537 3 (:REWRITE PUT-ASSOC-OF-PUT-ASSOC-1))
 (353 353 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (294 9 (:REWRITE DIR-STREAM->FILE-LIST-OF-DIR-STREAM))
 (166 166 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (166 166 (:REWRITE SUBSETP-TRANS2))
 (166 166 (:REWRITE SUBSETP-TRANS))
 (123 123 (:TYPE-PRESCRIPTION DIR-STREAM))
 (88 88 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (73 73 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (47 47 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (44 44 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (42 6 (:REWRITE DIR-STREAM-TABLE-P-OF-PUT-ASSOC))
 (41 41 (:REWRITE FAT32-FILENAME-LIST-P-OF-DIR-STREAM->FILE-LIST))
 (38 38 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (35 35 (:TYPE-PRESCRIPTION DIR-STREAM-P))
 (30 26 (:REWRITE DEFAULT-<-1))
 (28 18 (:REWRITE ZP-OPEN))
 (26 26 (:REWRITE DEFAULT-<-2))
 (18 6 (:DEFINITION NATP))
 (12 12 (:TYPE-PRESCRIPTION PUT-ASSOC-EQUAL))
 (9 9 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-FIX-UNDER-DIR-STREAM-EQUIV))
 (9 9 (:REWRITE CDR-CONS))
 (6 6 (:TYPE-PRESCRIPTION NATP))
 (6 6 (:REWRITE DIR-STREAM-P-OF-DIR-STREAM))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE PUT-ASSOC-OF-PUT-ASSOC-2))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE ASSOC-AFTER-PUT-ASSOC))
 )
(NO-DUPLICATESP-OF-GET-NAMES-FROM-DIRP
 (301 23 (:DEFINITION ASSOC-EQUAL))
 (243 82 (:REWRITE DEFAULT-CAR))
 (204 39 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (173 17 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (161 23 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (114 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (96 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (86 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
 (66 66 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (36 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (33 33 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (28 8 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (24 24 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (12 12 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (9 9 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 4 (:REWRITE SET-EQUIV-ASYM))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:TYPE-PRESCRIPTION SET-EQUIV))
 (4 4 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:REWRITE ZP-OPEN))
 (4 4 (:REWRITE SUBSETP-OF-CDR))
 (4 4 (:REWRITE SUBSETP-MEMBER . 3))
 (4 4 (:REWRITE SUBSETP-MEMBER . 1))
 (4 4 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (4 4 (:REWRITE MEMBER-WHEN-ATOM))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3 3 (:REWRITE DIR-STREAM-TABLE-P-OF-DIR-STREAM-TABLE-FIX))
 (3 1 (:DEFINITION NATP))
 (2 2 (:REWRITE DEFAULT-<-2))
 (2 2 (:REWRITE DEFAULT-<-1))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 )
(HIFAT-TAR-NAME-LIST-STRING
 (9 2 (:REWRITE NFIX-WHEN-ZP))
 (7 2 (:REWRITE ZP-OPEN))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(FD-TABLE-P-OF-HIFAT-TAR-NAME-LIST-STRING-LEMMA-1
 (8 2 (:DEFINITION STRIP-CARS))
 (8 1 (:DEFINITION ASSOC-EQUAL))
 (7 7 (:REWRITE DEFAULT-CAR))
 (5 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (3 3 (:REWRITE DEFAULT-CDR))
 (2 2 (:TYPE-PRESCRIPTION STRIP-CARS))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE CONSP-OF-STRIP-CARS))
 )
(FD-TABLE-P-OF-HIFAT-TAR-NAME-LIST-STRING
 (1691 963 (:REWRITE DEFAULT-CAR))
 (923 612 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (676 26 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (650 50 (:DEFINITION STRIP-CARS))
 (413 39 (:REWRITE NFIX-WHEN-ZP))
 (353 63 (:REWRITE STR::CONSP-OF-EXPLODE))
 (339 70 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (285 233 (:REWRITE DEFAULT-CDR))
 (273 39 (:DEFINITION LEN))
 (266 38 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (266 38 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (248 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (211 55 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (211 55 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (158 158 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (153 114 (:REWRITE DEFAULT-+-2))
 (148 84 (:REWRITE DEFAULT-<-2))
 (144 144 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (136 8 (:REWRITE CONSP-OF-APPEND))
 (116 116 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (114 114 (:REWRITE DEFAULT-+-1))
 (104 26 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (96 96 (:TYPE-PRESCRIPTION TAR-HEADER-BLOCK))
 (94 84 (:REWRITE DEFAULT-<-1))
 (88 25 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (87 29 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (87 29 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (79 79 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (78 78 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (78 78 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (78 78 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (78 78 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (72 72 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (58 58 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (58 58 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (42 42 (:TYPE-PRESCRIPTION HIFAT-TAR-REG-FILE-STRING))
 (29 29 (:LINEAR POSITION-WHEN-MEMBER))
 (29 29 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (26 26 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (26 26 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
 (26 26 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (25 25 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 8 (:REWRITE FOLD-CONSTS-IN-+))
 (22 22 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION STRING-APPEND-LST))
 (12 4 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (11 11 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-OF-HIFAT-CLOSEDIR))
 )
(STRINGP-OF-HIFAT-TAR-NAME-LIST-STRING
 (1824 1521 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (1498 1498 (:REWRITE DEFAULT-CAR))
 (964 652 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (636 636 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (327 65 (:REWRITE STR::CONSP-OF-EXPLODE))
 (289 70 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (197 49 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (197 49 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (149 136 (:REWRITE DEFAULT-+-2))
 (136 136 (:REWRITE DEFAULT-+-1))
 (127 127 (:REWRITE DEFAULT-CDR))
 (120 8 (:REWRITE CONSP-OF-APPEND))
 (104 41 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (104 41 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (96 96 (:TYPE-PRESCRIPTION TAR-HEADER-BLOCK))
 (91 13 (:DEFINITION LEN))
 (74 74 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (74 74 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (74 74 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (74 74 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (60 40 (:REWRITE DEFAULT-<-2))
 (50 40 (:REWRITE DEFAULT-<-1))
 (42 42 (:TYPE-PRESCRIPTION HIFAT-TAR-REG-FILE-STRING))
 (36 36 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (26 26 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (26 26 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (26 26 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
 (24 8 (:REWRITE FOLD-CONSTS-IN-+))
 (22 22 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (22 22 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (18 18 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION STRING-APPEND-LST))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12 4 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (11 11 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (11 11 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6 6 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-OF-HIFAT-CLOSEDIR))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(FILE-TABLE-P-OF-HIFAT-TAR-NAME-LIST-STRING
 (1643 915 (:REWRITE DEFAULT-CAR))
 (923 564 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (676 26 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (650 50 (:DEFINITION STRIP-CARS))
 (457 71 (:REWRITE STR::CONSP-OF-EXPLODE))
 (413 39 (:REWRITE NFIX-WHEN-ZP))
 (320 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (273 221 (:REWRITE DEFAULT-CDR))
 (273 39 (:DEFINITION LEN))
 (266 38 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (266 38 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (168 8 (:REWRITE CONSP-OF-APPEND))
 (158 158 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (148 84 (:REWRITE DEFAULT-<-2))
 (141 102 (:REWRITE DEFAULT-+-2))
 (140 70 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (116 116 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (112 112 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (104 26 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (102 102 (:REWRITE DEFAULT-+-1))
 (96 96 (:TYPE-PRESCRIPTION TAR-HEADER-BLOCK))
 (94 84 (:REWRITE DEFAULT-<-1))
 (87 29 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (87 29 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (84 21 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (79 79 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (58 58 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (58 58 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (56 56 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (42 42 (:TYPE-PRESCRIPTION HIFAT-TAR-REG-FILE-STRING))
 (29 29 (:LINEAR POSITION-WHEN-MEMBER))
 (29 29 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (26 26 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (26 26 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
 (26 26 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (25 25 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 8 (:REWRITE FOLD-CONSTS-IN-+))
 (22 22 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION STRING-APPEND-LST))
 (12 4 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (11 11 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-OF-HIFAT-CLOSEDIR))
 )
(HIFAT-TAR-NAME-LIST-STRING-REDUCTION-CORRECTNESS-LEMMA-1
 (26898 3199 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (25108 4206 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (23438 155 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (17648 3258 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16450 10097 (:REWRITE DEFAULT-CAR))
 (16073 864 (:REWRITE NFIX-WHEN-ZP))
 (10175 2371 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8164 1267 (:REWRITE STR::CONSP-OF-EXPLODE))
 (5923 94 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (5772 117 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (5756 308 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (5504 5504 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5293 63 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (5225 1913 (:REWRITE DEFAULT-<-2))
 (4808 290 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (4721 3881 (:REWRITE DEFAULT-CDR))
 (4199 323 (:DEFINITION STRIP-CARS))
 (4128 1376 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4128 1376 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3127 749 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (2961 141 (:REWRITE CONSP-OF-APPEND))
 (2844 172 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2771 1540 (:REWRITE DEFAULT-+-2))
 (2752 2752 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (2752 2752 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2702 386 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (2614 1540 (:REWRITE DEFAULT-+-1))
 (2492 86 (:REWRITE LEN-WHEN-PREFIXP))
 (2236 2236 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2219 1913 (:REWRITE DEFAULT-<-1))
 (2213 181 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2110 86 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1836 918 (:REWRITE DEFAULT-*-2))
 (1696 443 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (1656 1656 (:TYPE-PRESCRIPTION TAR-HEADER-BLOCK))
 (1647 1647 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (1386 169 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1376 1376 (:LINEAR POSITION-WHEN-MEMBER))
 (1376 1376 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1261 1261 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1202 1202 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1142 1142 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (1115 177 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1058 1058 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1043 149 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (975 975 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (926 290 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (918 918 (:REWRITE DEFAULT-*-1))
 (852 852 (:TYPE-PRESCRIPTION HIFAT-TAR-REG-FILE-STRING))
 (646 529 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (642 214 (:REWRITE FOLD-CONSTS-IN-+))
 (601 601 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (562 328 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (486 91 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (470 470 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (468 468 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (462 77 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (400 48 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (354 354 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (351 156 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (338 338 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (328 328 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (328 328 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (312 156 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (312 156 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (312 39 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (308 308 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (301 301 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (288 8 (:REWRITE SUBLISTP-OF-CONS-RIGHT))
 (270 270 (:TYPE-PRESCRIPTION STRING-APPEND-LST))
 (267 267 (:TYPE-PRESCRIPTION PREFIXP))
 (256 256 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (238 121 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (235 235 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (234 117 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (209 209 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (204 204 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (195 39 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (177 177 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (169 169 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (169 169 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (169 169 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (169 169 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (164 47 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (156 156 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (154 154 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-FIX$INLINE))
 (134 134 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (94 94 (:TYPE-PRESCRIPTION SUBLISTP))
 (78 78 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (78 78 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (78 78 (:TYPE-PRESCRIPTION D-E-P))
 (78 78 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (78 78 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (78 39 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (78 39 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (77 77 (:REWRITE DIR-STREAM-TABLE-P-OF-DIR-STREAM-TABLE-FIX))
 (63 63 (:REWRITE SUBLISTP-COMPLETE))
 (39 39 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (39 39 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (39 39 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (39 39 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (39 39 (:REWRITE SET::IN-SET))
 (39 39 (:REWRITE CONSP-OF-LIST-FIX))
 (36 12 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-P-OF-GET-NAMES-FROM-DIRP))
 (30 30 (:REWRITE DIR-STREAM-TABLE-P-OF-HIFAT-CLOSEDIR))
 (8 8 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(HIFAT-TAR-NAME-LIST-STRING-REDUCTION-CORRECTNESS-LEMMA-2
 (26898 3199 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (25108 4206 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (23438 155 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (17648 3258 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16039 10121 (:REWRITE DEFAULT-CAR))
 (15852 643 (:REWRITE NFIX-WHEN-ZP))
 (10175 2371 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8164 1267 (:REWRITE STR::CONSP-OF-EXPLODE))
 (5923 94 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (5772 117 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (5756 308 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (5504 5504 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5293 63 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (5225 1913 (:REWRITE DEFAULT-<-2))
 (4808 290 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (4390 3881 (:REWRITE DEFAULT-CDR))
 (4199 323 (:DEFINITION STRIP-CARS))
 (4128 1376 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4128 1376 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3127 749 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (2961 141 (:REWRITE CONSP-OF-APPEND))
 (2844 172 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2771 1540 (:REWRITE DEFAULT-+-2))
 (2752 2752 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (2752 2752 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2702 386 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (2614 1540 (:REWRITE DEFAULT-+-1))
 (2492 86 (:REWRITE LEN-WHEN-PREFIXP))
 (2236 2236 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2219 1913 (:REWRITE DEFAULT-<-1))
 (2213 181 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2110 86 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1836 918 (:REWRITE DEFAULT-*-2))
 (1696 443 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (1656 1656 (:TYPE-PRESCRIPTION TAR-HEADER-BLOCK))
 (1647 1647 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (1386 169 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1376 1376 (:LINEAR POSITION-WHEN-MEMBER))
 (1376 1376 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1261 1261 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (1202 1202 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1142 1142 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (1115 177 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1058 1058 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1043 149 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (975 975 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (926 290 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (918 918 (:REWRITE DEFAULT-*-1))
 (852 852 (:TYPE-PRESCRIPTION HIFAT-TAR-REG-FILE-STRING))
 (646 529 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (642 214 (:REWRITE FOLD-CONSTS-IN-+))
 (601 601 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (562 328 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (486 91 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (470 470 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (468 468 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (462 77 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (400 48 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (354 354 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (351 156 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (338 338 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (328 328 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (328 328 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (312 156 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (312 156 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (312 39 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (308 308 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (301 301 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (288 8 (:REWRITE SUBLISTP-OF-CONS-RIGHT))
 (270 270 (:TYPE-PRESCRIPTION STRING-APPEND-LST))
 (267 267 (:TYPE-PRESCRIPTION PREFIXP))
 (256 256 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (238 121 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (235 235 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (234 117 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (209 209 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (204 204 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (195 39 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (177 177 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (169 169 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (169 169 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (169 169 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (169 169 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (164 47 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (156 156 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (154 154 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-FIX$INLINE))
 (134 134 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (94 94 (:TYPE-PRESCRIPTION SUBLISTP))
 (78 78 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (78 78 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (78 78 (:TYPE-PRESCRIPTION D-E-P))
 (78 78 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (78 78 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (78 39 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (78 39 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (77 77 (:REWRITE DIR-STREAM-TABLE-P-OF-DIR-STREAM-TABLE-FIX))
 (63 63 (:REWRITE SUBLISTP-COMPLETE))
 (39 39 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (39 39 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (39 39 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (39 39 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (39 39 (:REWRITE SET::IN-SET))
 (39 39 (:REWRITE CONSP-OF-LIST-FIX))
 (36 12 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-P-OF-GET-NAMES-FROM-DIRP))
 (30 30 (:REWRITE DIR-STREAM-TABLE-P-OF-HIFAT-CLOSEDIR))
 (8 8 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(HIFAT-TAR-NAME-LIST-STRING-REDUCTION-CORRECTNESS-LEMMA-4
 (12304 1550 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (10932 62 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (8804 980 (:DEFINITION ASSOC-EQUAL))
 (7963 249 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6854 503 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (3776 438 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (3600 3600 (:REWRITE DEFAULT-CAR))
 (3179 3161 (:REWRITE DEFAULT-CDR))
 (3076 3076 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (2871 76 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (2454 2454 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (2317 211 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1850 370 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (1776 36 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (1650 1650 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1272 1272 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1269 213 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1202 9 (:DEFINITION STRING-APPEND-LST))
 (1137 237 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1128 188 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (1107 231 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1052 207 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (872 174 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (710 225 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (515 515 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (438 438 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (438 438 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (420 420 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (380 380 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (247 247 (:TYPE-PRESCRIPTION M1-FILE-P))
 (235 31 (:DEFINITION LEN))
 (227 227 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (210 210 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (207 207 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (199 85 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (192 39 (:REWRITE STR::CONSP-OF-EXPLODE))
 (190 190 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (189 189 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (189 189 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (188 188 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (162 9 (:DEFINITION STRING-APPEND))
 (134 68 (:REWRITE DEFAULT-<-2))
 (114 3 (:REWRITE NFIX-WHEN-ZP))
 (110 23 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (104 104 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (98 67 (:REWRITE DEFAULT-+-2))
 (81 81 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (76 76 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (76 68 (:REWRITE DEFAULT-<-1))
 (68 68 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (68 68 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (67 67 (:REWRITE DEFAULT-+-1))
 (63 3 (:REWRITE CONSP-OF-APPEND))
 (62 62 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (60 33 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (44 2 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (38 38 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (36 36 (:TYPE-PRESCRIPTION TAR-HEADER-BLOCK))
 (36 36 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (34 34 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (34 34 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (31 31 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (31 13 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (30 30 (:REWRITE HIFAT-CLOSE-CORRECTNESS-1))
 (30 30 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (26 26 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 6 (:REWRITE LENGTH-WHEN-STRINGP))
 (21 9 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (21 7 (:REWRITE FOLD-CONSTS-IN-+))
 (18 18 (:TYPE-PRESCRIPTION HIFAT-TAR-REG-FILE-STRING))
 (18 3 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (15 15 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (14 2 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (13 13 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (9 9 (:REWRITE STR::COERCE-TO-STRING-REMOVAL))
 (9 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (8 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (8 8 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7 1 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (6 6 (:TYPE-PRESCRIPTION STRING-APPEND-LST))
 (6 6 (:REWRITE DIR-STREAM-TABLE-P-OF-HIFAT-CLOSEDIR))
 (6 3 (:REWRITE STRING-APPEND-OF-EMPTY-STRING-2))
 (6 2 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3 3 (:REWRITE STR::MAKE-CHARACTER-LIST-IS-IDENTITY-UNDER-CHARLISTEQV))
 (3 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-GET-NAMES-FROM-DIRP))
 (3 1 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 )
(HIFAT-TAR-NAME-LIST-STRING-REDUCTION-CORRECTNESS-LEMMA-3
 (207986 59461 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (201461 3936 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (141317 7534 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (126253 126253 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (97767 9611 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (93478 22571 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (92251 3693 (:REWRITE SUBLISTP-OF-CONS-RIGHT))
 (72180 72180 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (72067 18539 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (70970 3904 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (48688 3904 (:REWRITE LEN-WHEN-PREFIXP))
 (31364 896 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (31103 216 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (29337 19872 (:REWRITE DEFAULT-<-2))
 (27992 27992 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (26508 26508 (:TYPE-PRESCRIPTION PREFIXP))
 (25652 19872 (:REWRITE DEFAULT-<-1))
 (18836 18836 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (18836 18836 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (18836 18836 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (18836 18836 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (18660 18660 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (17602 448 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (12730 285 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (10582 10012 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (10528 10528 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (9991 9991 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (9991 9991 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (9710 1146 (:DEFINITION NATP))
 (7534 7534 (:REWRITE SUBLISTP-COMPLETE))
 (5162 658 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (4195 4195 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (4094 3809 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (3936 3936 (:TYPE-PRESCRIPTION SUBLISTP))
 (3693 3693 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (3269 2069 (:REWRITE DEFAULT-+-2))
 (3250 214 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (3059 2069 (:REWRITE DEFAULT-+-1))
 (2248 202 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2062 658 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1894 1894 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1792 896 (:REWRITE DEFAULT-*-2))
 (1232 947 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1174 1174 (:TYPE-PRESCRIPTION NATP))
 (1140 1140 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (956 956 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (896 896 (:REWRITE DEFAULT-*-1))
 (855 380 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (800 800 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (776 776 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (760 380 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (760 95 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (696 232 (:REWRITE DEFAULT-UNARY-MINUS))
 (636 106 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (593 593 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (582 297 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (570 285 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (478 478 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (475 95 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (404 404 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (400 400 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (388 388 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (384 384 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (380 380 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (380 380 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (368 368 (:TYPE-PRESCRIPTION TAR-HEADER-BLOCK))
 (194 194 (:TYPE-PRESCRIPTION HIFAT-TAR-REG-FILE-STRING))
 (190 190 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (190 190 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (190 190 (:TYPE-PRESCRIPTION D-E-P))
 (190 190 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (190 190 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (190 95 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (190 95 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (158 158 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (95 95 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (95 95 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (95 95 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (95 95 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (95 95 (:REWRITE SET::IN-SET))
 (95 95 (:REWRITE CONSP-OF-LIST-FIX))
 (42 42 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 4 (:REWRITE THEN-SUBSEQ-SAME-2))
 )
(HIFAT-TAR-NAME-LIST-STRING-REDUCTION)
(HIFAT-TAR-NAME-LIST-STRING-REDUCTION-CORRECTNESS-1
 (2 1 (:REWRITE HIFAT-TAR-NAME-LIST-STRING-REDUCTION-CORRECTNESS-LEMMA-4))
 (1 1 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 )
(STRINGP-OF-HIFAT-TAR-NAME-LIST-STRING-REDUCTION)
(ALIST-SHIFT)
(CONSP-OF-ASSOC-OF-ALIST-SHIFT
 (104 8 (:REWRITE OMAP::ALISTP-WHEN-MAPP))
 (60 57 (:REWRITE DEFAULT-CAR))
 (40 8 (:REWRITE OMAP::MFIX-IMPLIES-MAPP))
 (40 8 (:REWRITE OMAP::MAPP-WHEN-NOT-EMPTY))
 (32 32 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (32 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (17 16 (:REWRITE DEFAULT-CDR))
 (16 16 (:TYPE-PRESCRIPTION OMAP::MFIX))
 (16 16 (:TYPE-PRESCRIPTION OMAP::EMPTY))
 (16 8 (:REWRITE OMAP::MFIX-WHEN-MAPP))
 (16 8 (:REWRITE OMAP::MAPP-NON-NIL-IMPLIES-NON-EMPTY))
 (15 15 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (10 10 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 5 (:REWRITE DEFAULT-+-2))
 (10 5 (:REWRITE DEFAULT-+-1))
 (9 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (8 8 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(ALISTP-OF-ALIST-SHIFT
 (114 8 (:REWRITE OMAP::ALISTP-WHEN-MAPP))
 (51 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (50 8 (:REWRITE OMAP::MFIX-IMPLIES-MAPP))
 (40 8 (:REWRITE OMAP::MAPP-WHEN-NOT-EMPTY))
 (32 32 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (26 16 (:TYPE-PRESCRIPTION OMAP::MFIX))
 (20 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION OMAP::EMPTY))
 (16 8 (:REWRITE OMAP::MFIX-WHEN-MAPP))
 (16 8 (:REWRITE OMAP::MAPP-NON-NIL-IMPLIES-NON-EMPTY))
 (14 13 (:REWRITE DEFAULT-CAR))
 (12 1 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (11 10 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 3 (:REWRITE DEFAULT-+-2))
 (6 3 (:REWRITE DEFAULT-+-1))
 (4 1 (:DEFINITION NATP))
 (1 1 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(ASSOC-OF-ALIST-SHIFT
 (145 141 (:REWRITE DEFAULT-CAR))
 (54 52 (:REWRITE DEFAULT-CDR))
 (50 10 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (32 32 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (32 16 (:REWRITE DEFAULT-+-2))
 (32 16 (:REWRITE DEFAULT-+-1))
 (20 20 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (7 7 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (7 7 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(STRIP-CARS-OF-ALIST-SHIFT
 (24 23 (:REWRITE DEFAULT-CAR))
 (12 11 (:REWRITE DEFAULT-CDR))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 3 (:REWRITE DEFAULT-+-2))
 (6 3 (:REWRITE DEFAULT-+-1))
 )
(HIFAT-TAR-NAME-LIST-ALIST
 (9 2 (:REWRITE NFIX-WHEN-ZP))
 (7 2 (:REWRITE ZP-OPEN))
 (3 3 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 )
(ALISTP-OF-HIFAT-TAR-NAME-LIST-ALIST
 (288 20 (:REWRITE OMAP::ALISTP-WHEN-MAPP))
 (255 21 (:DEFINITION LEN))
 (143 32 (:DEFINITION BINARY-APPEND))
 (128 20 (:REWRITE OMAP::MFIX-IMPLIES-MAPP))
 (127 20 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (115 66 (:REWRITE DEFAULT-CDR))
 (100 20 (:REWRITE OMAP::MAPP-WHEN-NOT-EMPTY))
 (84 24 (:REWRITE STR::CONSP-OF-EXPLODE))
 (80 80 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (73 64 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (68 40 (:TYPE-PRESCRIPTION OMAP::MFIX))
 (67 66 (:REWRITE DEFAULT-CAR))
 (64 20 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (55 31 (:REWRITE DEFAULT-+-2))
 (48 12 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (44 30 (:REWRITE DEFAULT-<-1))
 (41 30 (:REWRITE DEFAULT-<-2))
 (40 40 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (40 40 (:TYPE-PRESCRIPTION OMAP::EMPTY))
 (40 20 (:REWRITE OMAP::MFIX-WHEN-MAPP))
 (40 20 (:REWRITE OMAP::MAPP-NON-NIL-IMPLIES-NON-EMPTY))
 (36 36 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (34 31 (:REWRITE DEFAULT-+-1))
 (26 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (24 12 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (18 18 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (18 18 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (9 9 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 1 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (6 1 (:REWRITE CONSP-OF-APPEND))
 (4 4 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (3 3 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-2
 (260 1 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (244 8 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (235 25 (:DEFINITION LEN))
 (190 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (178 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (128 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (120 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (102 102 (:TYPE-PRESCRIPTION LEN))
 (95 5 (:REWRITE LENGTH-WHEN-STRINGP))
 (86 1 (:DEFINITION NTHCDR))
 (75 26 (:REWRITE DEFAULT-CDR))
 (72 16 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (53 53 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (53 28 (:REWRITE DEFAULT-+-2))
 (47 31 (:REWRITE STR::CONSP-OF-EXPLODE))
 (44 44 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (40 4 (:DEFINITION UNSIGNED-BYTE-P))
 (36 4 (:DEFINITION INTEGER-RANGE-P))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (28 28 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (28 28 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (28 28 (:REWRITE DEFAULT-+-1))
 (21 21 (:TYPE-PRESCRIPTION TRUE-LISTP-SUBSEQ-TYPE-PRESCRIPTION))
 (20 20 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (17 13 (:REWRITE DEFAULT-<-2))
 (17 13 (:REWRITE DEFAULT-<-1))
 (16 16 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (16 8 (:REWRITE DEFAULT-*-2))
 (14 14 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (14 4 (:REWRITE NFIX-WHEN-ZP))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (8 8 (:REWRITE DEFAULT-*-1))
 (8 4 (:REWRITE NFIX-WHEN-NATP))
 (8 3 (:REWRITE ZP-OPEN))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (6 2 (:DEFINITION NFIX))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION NFIX))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (3 3 (:TYPE-PRESCRIPTION ZP))
 (3 1 (:REWRITE COMMUTATIVITY-OF-+))
 (3 1 (:DEFINITION NATP))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:TYPE-PRESCRIPTION LENGTH))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-3
 (406 14 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (272 272 (:TYPE-PRESCRIPTION HIFAT-TAR-NAME-LIST-ALIST))
 (271 22 (:DEFINITION LEN))
 (203 23 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (175 23 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (161 7 (:REWRITE SUBSETP-MEMBER . 1))
 (147 12 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (121 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (120 15 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (108 36 (:REWRITE CONSP-OF-STRIP-CARS))
 (91 26 (:REWRITE STR::CONSP-OF-EXPLODE))
 (90 37 (:REWRITE DEFAULT-CDR))
 (77 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (72 34 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (72 21 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (72 12 (:REWRITE MEMBER-WHEN-ATOM))
 (65 29 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (62 18 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (58 58 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (57 32 (:REWRITE DEFAULT-+-2))
 (53 52 (:REWRITE DEFAULT-CAR))
 (53 13 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (49 35 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (45 5 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (44 30 (:REWRITE DEFAULT-<-1))
 (42 42 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (41 30 (:REWRITE DEFAULT-<-2))
 (39 39 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (35 32 (:REWRITE DEFAULT-+-1))
 (34 34 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (28 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (27 13 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (27 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (26 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (22 22 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (21 21 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (14 14 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 3))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 2))
 (14 14 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (12 12 (:REWRITE MEMBER-OF-STRIP-CARS))
 (12 12 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (9 9 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 1 (:REWRITE LEN-OF-STRIP-CARS))
 (6 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3 3 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (2 1 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4
 (108 48 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (48 48 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (41 9 (:DEFINITION BINARY-APPEND))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (18 18 (:REWRITE DEFAULT-CAR))
 (18 18 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (15 5 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (12 12 (:REWRITE DEFAULT-CDR))
 (12 6 (:REWRITE DEFAULT-<-2))
 (10 10 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (10 10 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (10 10 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 6 (:REWRITE DEFAULT-<-1))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:LINEAR POSITION-WHEN-MEMBER))
 (5 5 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3 3 (:REWRITE DEFAULT-+-2))
 (3 3 (:REWRITE DEFAULT-+-1))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5
 (6896 155 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (5690 26 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (4896 130 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (4628 39 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (3660 130 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3155 63 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2650 9 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (2545 157 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2242 24 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1245 112 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1084 130 (:REWRITE LEN-WHEN-PREFIXP))
 (894 894 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (782 45 (:REWRITE ZP-OPEN))
 (774 63 (:REWRITE NFIX-WHEN-ZP))
 (680 368 (:REWRITE DEFAULT-+-2))
 (556 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (516 172 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (516 172 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (506 42 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (466 238 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (407 5 (:REWRITE TAKE-WHEN-PREFIXP))
 (402 225 (:REWRITE DEFAULT-<-2))
 (388 368 (:REWRITE DEFAULT-+-1))
 (348 225 (:REWRITE DEFAULT-<-1))
 (344 344 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (344 344 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (342 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (309 103 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (304 38 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (268 5 (:REWRITE LEN-OF-NTHCDR))
 (264 42 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (216 9 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (214 115 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (190 38 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (172 172 (:LINEAR POSITION-WHEN-MEMBER))
 (172 172 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (171 171 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (158 37 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (157 157 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (155 155 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (153 9 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (149 19 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (135 135 (:TYPE-PRESCRIPTION SUBLISTP))
 (127 115 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (122 36 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (120 4 (:REWRITE SUBSETP-OF-CONS))
 (104 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (80 80 (:TYPE-PRESCRIPTION D-E-P))
 (80 80 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (76 76 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (76 38 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (76 38 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (69 69 (:REWRITE DEFAULT-CAR))
 (55 5 (:REWRITE TAKE-OF-LEN-FREE))
 (52 8 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (40 4 (:REWRITE SUBSETP-CONS-2))
 (39 39 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (39 39 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (39 39 (:REWRITE SUBLISTP-COMPLETE))
 (38 38 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (38 38 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (38 38 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (38 38 (:REWRITE SET::IN-SET))
 (36 36 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (36 20 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (32 16 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (27 27 (:TYPE-PRESCRIPTION ZP))
 (25 25 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (24 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (20 20 (:REWRITE SUBSETP-TRANS2))
 (20 20 (:REWRITE SUBSETP-TRANS))
 (19 19 (:REWRITE NTH-WHEN-PREFIXP))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (16 16 (:REWRITE CONSP-OF-LIST-FIX))
 (15 15 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (15 15 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (15 5 (:DEFINITION NATP))
 (12 4 (:REWRITE SET-EQUIV-OF-NIL))
 (11 1 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (10 5 (:REWRITE DEFAULT-UNARY-MINUS))
 (10 2 (:LINEAR NTH-WHEN-D-E-P))
 (9 9 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (8 8 (:REWRITE SUBSETP-NIL))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (8 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (8 4 (:DEFINITION ATOM))
 (5 5 (:TYPE-PRESCRIPTION NATP))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE TAKE-WHEN-ATOM))
 (5 5 (:REWRITE TAKE-OF-TOO-MANY))
 (5 1 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (1 1 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (1 1 (:LINEAR LISTPOS-COMPLETE))
 )
(WHEN-PREFIXP-APPEND-SAME
 (184 1 (:DEFINITION PREFIXP))
 (183 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (163 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (112 22 (:DEFINITION LEN))
 (76 4 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (55 28 (:REWRITE DEFAULT-+-2))
 (52 4 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (46 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (35 2 (:REWRITE LEN-OF-APPEND))
 (34 34 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (33 28 (:REWRITE DEFAULT-+-1))
 (30 1 (:REWRITE NFIX-WHEN-ZP))
 (26 26 (:REWRITE DEFAULT-CDR))
 (26 1 (:REWRITE ZP-OPEN))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (24 8 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (24 3 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (18 9 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (18 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (18 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (17 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (16 16 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (16 16 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (15 15 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (15 6 (:REWRITE DEFAULT-<-2))
 (15 3 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (13 7 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (10 10 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (10 2 (:DEFINITION BINARY-APPEND))
 (9 9 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (9 6 (:REWRITE DEFAULT-<-1))
 (9 1 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (8 8 (:LINEAR POSITION-WHEN-MEMBER))
 (8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (6 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (6 3 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (5 5 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (5 5 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (5 5 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (5 5 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (4 4 (:REWRITE SUBSETP-TRANS2))
 (4 4 (:REWRITE SUBSETP-TRANS))
 (4 4 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE CONSP-OF-LIST-FIX))
 (4 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (4 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (3 3 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE SET::IN-SET))
 (3 3 (:REWRITE CONSP-OF-APPEND))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (2 1 (:REWRITE CAR-OF-APPEND))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:REWRITE SUBLISTP-COMPLETE))
 )
(PREFIXP-OF-APPEND-WHEN-SAME-LENGTH
 (99093 10 (:REWRITE PREFIXP-OF-APPEND-ARG1))
 (77038 856 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (71317 334 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (59748 245 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (56431 3 (:REWRITE PREFIXP-OF-CONS-LEFT))
 (50241 157 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (41358 4424 (:REWRITE DEFAULT-CDR))
 (36147 856 (:REWRITE LEN-WHEN-PREFIXP))
 (34139 1362 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (25390 1616 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (20062 924 (:REWRITE DEFAULT-CAR))
 (11106 11106 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (7691 2573 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5951 23 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5877 5232 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (5607 1869 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (5607 1869 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (5532 98 (:REWRITE CONSP-OF-NTHCDR))
 (5471 270 (:REWRITE ZP-OPEN))
 (5453 375 (:REWRITE NFIX-WHEN-ZP))
 (5445 1815 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (5271 1757 (:TYPE-PRESCRIPTION TRUE-LISTP-NTHCDR-TYPE-PRESCRIPTION))
 (4603 9 (:REWRITE TAKE-WHEN-PREFIXP))
 (4329 2367 (:REWRITE DEFAULT-+-2))
 (4227 107 (:DEFINITION NTHCDR))
 (3738 3738 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (3738 3738 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3531 43 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (2829 221 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2754 2754 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2753 1494 (:REWRITE DEFAULT-<-2))
 (2446 2367 (:REWRITE DEFAULT-+-1))
 (2427 1494 (:REWRITE DEFAULT-<-1))
 (2335 1368 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1963 248 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1878 125 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1869 1869 (:LINEAR POSITION-WHEN-MEMBER))
 (1869 1869 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1811 8 (:REWRITE TAKE-OF-TOO-MANY))
 (1734 1392 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (1711 1391 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1708 7 (:REWRITE NTHCDR-OF-CDR))
 (1451 124 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1392 1392 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (1228 248 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1178 537 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (1142 537 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (1002 501 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (743 375 (:REWRITE NFIX-WHEN-NATP))
 (643 334 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (637 33 (:REWRITE LEN-OF-APPEND))
 (548 43 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (538 538 (:REWRITE SUBLISTP-COMPLETE))
 (506 144 (:REWRITE COMMUTATIVITY-OF-+))
 (501 501 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (490 490 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (490 490 (:TYPE-PRESCRIPTION D-E-P))
 (490 490 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (490 245 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (490 245 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (430 86 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (334 334 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (334 334 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (304 7 (:REWRITE TAKE-OF-LEN-FREE))
 (294 49 (:REWRITE FAT32-FILENAME-LIST-P-OF-NTHCDR))
 (248 248 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (245 245 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (245 245 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (245 245 (:REWRITE SET::IN-SET))
 (215 215 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (172 86 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (163 163 (:TYPE-PRESCRIPTION ZP))
 (157 157 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (124 124 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (122 122 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (118 118 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (117 29 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (86 86 (:REWRITE SUBSETP-TRANS2))
 (86 86 (:REWRITE SUBSETP-TRANS))
 (86 86 (:REWRITE CONSP-OF-LIST-FIX))
 (68 68 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (38 19 (:REWRITE WHEN-PREFIXP-APPEND-SAME))
 (31 31 (:TYPE-PRESCRIPTION NFIX))
 (28 28 (:TYPE-PRESCRIPTION TRUE-LISTP-TAKE))
 (22 22 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (22 22 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (19 19 (:DEFINITION ATOM))
 (15 1 (:REWRITE REPEAT-WHEN-ZP))
 (8 4 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (7 7 (:REWRITE TAKE-WHEN-ATOM))
 (6 6 (:REWRITE FOLD-CONSTS-IN-+))
 (6 6 (:REWRITE CDR-CONS))
 (6 2 (:REWRITE UNICITY-OF-0))
 (4 2 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (4 1 (:REWRITE APPEND-OF-NIL))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-1
 (7820 153 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6866 106 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (5136 608 (:DEFINITION LEN))
 (5071 53 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (5026 123 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (3927 39 (:REWRITE HIFAT-FIND-FILE-OF-APPEND-1))
 (2572 153 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (1966 1128 (:REWRITE DEFAULT-CDR))
 (1902 104 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (1510 857 (:REWRITE DEFAULT-+-2))
 (1477 1477 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (1464 193 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1264 1264 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1260 360 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1122 153 (:REWRITE LEN-WHEN-PREFIXP))
 (1110 258 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (998 615 (:REWRITE DEFAULT-<-2))
 (936 156 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (935 833 (:REWRITE DEFAULT-CAR))
 (909 857 (:REWRITE DEFAULT-+-1))
 (892 199 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (884 615 (:REWRITE DEFAULT-<-1))
 (828 276 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (828 276 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (819 117 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (787 32 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (741 156 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (585 78 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (552 552 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (552 552 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (540 540 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (511 344 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (450 438 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (438 438 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (413 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (394 7 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (390 78 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (390 78 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (364 166 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (360 180 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (339 339 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (312 52 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (288 48 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (276 276 (:LINEAR POSITION-WHEN-MEMBER))
 (276 276 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (273 273 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (240 80 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (211 211 (:TYPE-PRESCRIPTION SUBLISTP))
 (206 206 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (206 206 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (205 205 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (204 196 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (199 199 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (198 66 (:REWRITE FOLD-CONSTS-IN-+))
 (190 32 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (180 41 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (179 10 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (178 169 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (173 50 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (156 156 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (156 156 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (156 156 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (156 156 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (156 4 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (144 18 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (128 16 (:REWRITE CAR-OF-APPEND))
 (122 122 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (112 7 (:REWRITE LEN-OF-APPEND))
 (106 106 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (106 106 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (106 106 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (104 104 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (104 104 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (104 104 (:REWRITE SUBLISTP-COMPLETE))
 (104 20 (:REWRITE CONSP-OF-APPEND))
 (90 2 (:DEFINITION LAST))
 (88 3 (:REWRITE SUBSETP-OF-CONS))
 (86 86 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (78 78 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (78 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (69 29 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (65 65 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (65 10 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (53 53 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (48 24 (:REWRITE APPEND-OF-CONS))
 (45 6 (:REWRITE SUBSETP-CAR-MEMBER))
 (39 39 (:TYPE-PRESCRIPTION M1-FILE-P))
 (39 39 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (39 39 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (39 6 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (32 32 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (32 8 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (30 3 (:REWRITE SUBSETP-CONS-2))
 (29 29 (:REWRITE SUBSETP-TRANS2))
 (29 29 (:REWRITE SUBSETP-TRANS))
 (28 7 (:REWRITE COMMUTATIVITY-OF-+))
 (24 3 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (22 10 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (18 18 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 18 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (17 17 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (15 15 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (15 3 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (12 12 (:REWRITE CONSP-OF-LIST-FIX))
 (9 3 (:REWRITE SET-EQUIV-OF-NIL))
 (9 3 (:REWRITE CONSP-OF-ASSOC-EQUAL-OF-APPEND))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:REWRITE SUBSETP-NIL))
 (6 6 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (6 3 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (4 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 (3 3 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE SET::IN-SET))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-6
 (201504 21306 (:REWRITE DEFAULT-CDR))
 (193733 12053 (:REWRITE STR::CONSP-OF-EXPLODE))
 (139696 5313 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (120397 1658 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (89798 167 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (86431 829 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (83759 2048 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (52326 829 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (41851 1610 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (37307 3115 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (33889 2048 (:REWRITE LEN-WHEN-PREFIXP))
 (33117 1832 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (28652 494 (:REWRITE SUBLISTP-OF-CONS-RIGHT))
 (26826 26826 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (25974 6742 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (25899 13025 (:REWRITE DEFAULT-+-2))
 (20480 227 (:REWRITE NFIX-WHEN-ZP))
 (19266 19266 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (19125 6375 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (19125 6375 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (18745 18745 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (14597 130 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (14270 13025 (:REWRITE DEFAULT-+-1))
 (12750 12750 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (12750 12750 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (11605 195 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-2))
 (10887 10450 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (10589 4810 (:REWRITE DEFAULT-<-2))
 (10386 10386 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (10029 4144 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (9788 8519 (:REWRITE DEFAULT-CAR))
 (9738 5998 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (7865 155 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7323 4810 (:REWRITE DEFAULT-<-1))
 (7242 5998 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (6375 6375 (:LINEAR POSITION-WHEN-MEMBER))
 (6375 6375 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6113 5863 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (5886 1312 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (5872 5872 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (5148 1334 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (5016 444 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (4880 369 (:REWRITE LEN-OF-APPEND))
 (4301 1057 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4025 4025 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (3892 20 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (3747 72 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3586 3586 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (3316 3316 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (3316 1658 (:REWRITE DEFAULT-*-2))
 (3206 780 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (3141 261 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (3139 2232 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3056 2252 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (2851 158 (:REWRITE SUBSETP-OF-CONS))
 (2750 1942 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2740 2732 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (2232 2232 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (2232 2232 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1989 663 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1920 165 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1733 138 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (1677 546 (:REWRITE SUBSETP-MEMBER . 1))
 (1658 1658 (:REWRITE DEFAULT-*-1))
 (1628 270 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1622 1622 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1622 1622 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1596 1596 (:REWRITE SUBLISTP-COMPLETE))
 (1560 40 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (1472 184 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1342 1074 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (1339 149 (:REWRITE SUBSETP-CONS-2))
 (1309 429 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1307 202 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1124 1124 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (976 488 (:REWRITE CDR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (920 184 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (918 648 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (900 20 (:DEFINITION LAST))
 (829 829 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (829 829 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (808 580 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (727 9 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (714 431 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (669 669 (:TYPE-PRESCRIPTION STRINGP-SUBSEQ-TYPE-PRESCRIPTION))
 (651 345 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (648 648 (:REWRITE SUBSETP-TRANS2))
 (648 648 (:REWRITE SUBSETP-TRANS))
 (635 357 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (560 280 (:REWRITE CAR-OF-FAT32-FILENAME-LIST-FIX-X-UNDER-FAT32-FILENAME-EQUIV))
 (548 548 (:REWRITE CONSP-OF-LIST-FIX))
 (545 545 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (516 9 (:REWRITE SUBSETP-APPEND1))
 (495 165 (:REWRITE FOLD-CONSTS-IN-+))
 (450 18 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-6))
 (422 422 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (408 68 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (402 134 (:REWRITE SET-EQUIV-OF-NIL))
 (372 4 (:REWRITE TAKE-WHEN-PREFIXP))
 (368 368 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (368 368 (:TYPE-PRESCRIPTION D-E-P))
 (368 368 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (368 184 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (368 184 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (364 344 (:REWRITE MEMBER-WHEN-ATOM))
 (350 350 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (350 350 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (344 344 (:REWRITE INTERSECTP-MEMBER . 3))
 (344 344 (:REWRITE INTERSECTP-MEMBER . 2))
 (292 292 (:REWRITE SUBSETP-NIL))
 (280 280 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (261 261 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (196 4 (:REWRITE LEN-OF-NTHCDR))
 (184 184 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (184 184 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (184 184 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (184 184 (:REWRITE SET::IN-SET))
 (182 182 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (174 2 (:DEFINITION NTHCDR))
 (155 155 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (144 144 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (144 144 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
 (126 18 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (106 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (95 95 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (70 4 (:REWRITE TAKE-OF-LEN-FREE))
 (68 4 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (52 52 (:REWRITE FAT32-FILENAME-LIST-P-OF-GET-NAMES-FROM-DIRP))
 (40 4 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (36 36 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (24 4 (:DEFINITION STRIP-CARS))
 (20 4 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (12 12 (:REWRITE NTH-WHEN-PREFIXP))
 (12 12 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (12 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (12 4 (:DEFINITION NATP))
 (10 2 (:DEFINITION BINARY-APPEND))
 (8 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (4 4 (:REWRITE TAKE-WHEN-ATOM))
 (4 4 (:REWRITE TAKE-OF-TOO-MANY))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (2 2 (:LINEAR LISTPOS-COMPLETE))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-7
 (1284 14 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (1223 11 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (1209 53 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (1117 119 (:DEFINITION LEN))
 (762 22 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (714 17 (:DEFINITION ALISTP))
 (714 10 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (510 34 (:REWRITE OMAP::ALISTP-WHEN-MAPP))
 (415 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (391 13 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (351 351 (:TYPE-PRESCRIPTION STRIP-CARS))
 (331 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (315 176 (:REWRITE DEFAULT-+-2))
 (303 27 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (300 6 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (272 34 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (244 244 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (244 27 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (238 34 (:REWRITE OMAP::MFIX-IMPLIES-MAPP))
 (236 185 (:REWRITE DEFAULT-CDR))
 (185 176 (:REWRITE DEFAULT-+-1))
 (183 61 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (183 61 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (170 34 (:REWRITE OMAP::MAPP-WHEN-NOT-EMPTY))
 (170 34 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (168 21 (:REWRITE LEN-OF-STRIP-CARS))
 (162 27 (:DEFINITION STRIP-CARS))
 (161 21 (:REWRITE NFIX-WHEN-ZP))
 (157 48 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (155 80 (:REWRITE CONSP-OF-STRIP-CARS))
 (150 99 (:REWRITE DEFAULT-CAR))
 (144 9 (:REWRITE LEN-OF-APPEND))
 (141 10 (:REWRITE LEN-WHEN-PREFIXP))
 (139 139 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (136 68 (:TYPE-PRESCRIPTION OMAP::MFIX))
 (126 26 (:REWRITE ZP-OPEN))
 (122 122 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (122 122 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (120 80 (:REWRITE DEFAULT-<-2))
 (119 5 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (97 80 (:REWRITE DEFAULT-<-1))
 (90 19 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (78 3 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (72 3 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (72 1 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (68 68 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (68 68 (:TYPE-PRESCRIPTION OMAP::EMPTY))
 (68 34 (:REWRITE OMAP::MFIX-WHEN-MAPP))
 (68 34 (:REWRITE OMAP::MAPP-NON-NIL-IMPLIES-NON-EMPTY))
 (61 61 (:LINEAR POSITION-WHEN-MEMBER))
 (61 61 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (58 21 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (54 5 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (51 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (50 50 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (47 3 (:REWRITE SUBSETP-OF-CONS))
 (46 2 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (40 40 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (37 12 (:REWRITE MEMBER-WHEN-ATOM))
 (36 36 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (36 9 (:REWRITE COMMUTATIVITY-OF-+))
 (36 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (35 7 (:DEFINITION BINARY-APPEND))
 (34 27 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (31 31 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (31 1 (:REWRITE MEMBER-EQUAL-NTH))
 (30 3 (:REWRITE SUBSETP-CONS-2))
 (27 27 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (27 18 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (24 3 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (24 3 (:DEFINITION ASSOC-EQUAL))
 (22 22 (:REWRITE NTH-WHEN-PREFIXP))
 (22 7 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (21 21 (:TYPE-PRESCRIPTION SUBLISTP))
 (21 21 (:REWRITE NFIX-WHEN-NATP))
 (20 20 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (20 20 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (19 19 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (16 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (15 15 (:REWRITE SUBSETP-MEMBER . 1))
 (15 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (15 3 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (14 14 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (14 14 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (14 14 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (13 1 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (12 12 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 3))
 (12 12 (:REWRITE INTERSECTP-MEMBER . 2))
 (12 12 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (12 12 (:REWRITE CONSP-OF-LIST-FIX))
 (12 1 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (12 1 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (12 1 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (11 11 (:REWRITE SUBLISTP-COMPLETE))
 (11 7 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (10 10 (:TYPE-PRESCRIPTION D-E-P))
 (10 10 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (10 7 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (10 2 (:LINEAR NTH-WHEN-D-E-P))
 (9 9 (:REWRITE CDR-CONS))
 (9 3 (:REWRITE SET-EQUIV-OF-NIL))
 (9 1 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE SUBSETP-NIL))
 (6 3 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 3 (:DEFINITION ATOM))
 (6 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (6 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (5 2 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (4 4 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (4 1 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (3 3 (:REWRITE SET::IN-SET))
 (2 2 (:TYPE-PRESCRIPTION NAT-LISTP))
 (2 2 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (2 2 (:TYPE-PRESCRIPTION FD-TABLE-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 2 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(LEMMA-1
 (953 85 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (698 11 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (568 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (505 5 (:REWRITE HIFAT-FIND-FILE-OF-APPEND-1))
 (390 12 (:REWRITE CONSP-OF-REPEAT))
 (386 8 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (342 5 (:REWRITE SUBSETP-APPEND1))
 (338 8 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (252 49 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (240 6 (:REWRITE CONSP-OF-APPEND))
 (233 144 (:REWRITE DEFAULT-<-2))
 (233 5 (:REWRITE SUBSETP-OF-TAKE))
 (228 228 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (217 31 (:DEFINITION LEN))
 (211 12 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (195 5 (:REWRITE TAKE-OF-LEN-FREE))
 (186 60 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (180 60 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (152 144 (:REWRITE DEFAULT-<-1))
 (145 145 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (140 50 (:REWRITE CONSP-OF-STRIP-CARS))
 (140 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (124 7 (:DEFINITION BINARY-APPEND))
 (120 120 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (120 120 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (120 20 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (119 119 (:TYPE-PRESCRIPTION STRIP-CARS))
 (116 8 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (111 8 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (110 67 (:REWRITE DEFAULT-+-2))
 (105 15 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (95 20 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (93 8 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (90 20 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (84 14 (:DEFINITION STRIP-CARS))
 (82 26 (:REWRITE NFIX-WHEN-ZP))
 (82 19 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (78 2 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-RIGHT))
 (75 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (67 67 (:REWRITE DEFAULT-+-1))
 (60 60 (:LINEAR POSITION-WHEN-MEMBER))
 (60 60 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (60 2 (:REWRITE REPEAT-WHEN-ZP))
 (59 53 (:REWRITE DEFAULT-CDR))
 (50 10 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (50 10 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (50 10 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (49 49 (:REWRITE SUBSETP-TRANS2))
 (49 49 (:REWRITE SUBSETP-TRANS))
 (49 2 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-LEFT))
 (44 38 (:REWRITE DEFAULT-CAR))
 (44 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (41 7 (:REWRITE INTERSECTP-MEMBER . 2))
 (36 8 (:REWRITE CONSP-OF-TAKE))
 (35 35 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (32 7 (:REWRITE TAKE-WHEN-ATOM))
 (30 30 (:TYPE-PRESCRIPTION REPEAT))
 (30 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (30 2 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (26 1 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (25 25 (:REWRITE SUBSETP-MEMBER . 1))
 (24 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (23 23 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (23 1 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (22 22 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (21 6 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (20 20 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (20 20 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (20 20 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (20 20 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (20 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (18 18 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (18 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (17 7 (:REWRITE MEMBER-WHEN-ATOM))
 (16 16 (:TYPE-PRESCRIPTION TRUE-LISTP-TAKE))
 (14 6 (:REWRITE FOLD-CONSTS-IN-+))
 (14 2 (:REWRITE MEMBER-OF-APPEND))
 (12 12 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (12 12 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (12 4 (:DEFINITION NFIX))
 (11 11 (:REWRITE INTERSECTP-MEMBER . 1))
 (11 11 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (11 7 (:REWRITE INTERSECTP-MEMBER . 3))
 (10 10 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (8 1 (:DEFINITION ASSOC-EQUAL))
 (7 7 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (7 7 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 6 (:REWRITE NTH-WHEN-PREFIXP))
 (6 6 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6 2 (:DEFINITION NATP))
 (5 5 (:TYPE-PRESCRIPTION M1-FILE-P))
 (5 5 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (5 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (5 5 (:DEFINITION ATOM))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (2 2 (:TYPE-PRESCRIPTION SET-EQUIV))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-8
 (114 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (101 1 (:REWRITE HIFAT-FIND-FILE-OF-APPEND-1))
 (76 1 (:REWRITE TAKE-WHEN-PREFIXP))
 (62 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (50 7 (:DEFINITION LEN))
 (48 48 (:TYPE-PRESCRIPTION HIFAT-TAR-NAME-LIST-ALIST))
 (48 4 (:REWRITE ZP-OPEN))
 (40 1 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (39 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (33 3 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (31 2 (:REWRITE NFIX-WHEN-ZP))
 (29 29 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (25 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (24 4 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (21 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (20 11 (:REWRITE DEFAULT-+-2))
 (19 4 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (18 6 (:REWRITE CONSP-OF-STRIP-CARS))
 (18 4 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (15 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (12 12 (:TYPE-PRESCRIPTION STRIP-CARS))
 (12 11 (:REWRITE DEFAULT-+-1))
 (12 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 2 (:DEFINITION STRIP-CARS))
 (12 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (10 10 (:REWRITE DEFAULT-CDR))
 (10 6 (:REWRITE DEFAULT-<-2))
 (10 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (10 2 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9 3 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (7 7 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (6 6 (:REWRITE DEFAULT-<-1))
 (6 1 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (6 1 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (5 5 (:REWRITE DEFAULT-CAR))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION M1-DIRECTORY-FILE-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4 1 (:DEFINITION BINARY-APPEND))
 (3 3 (:TYPE-PRESCRIPTION PREFIXP))
 (3 3 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION ZP))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (2 2 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1 1 (:REWRITE MEMBER-WHEN-ATOM))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (1 1 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1 1 (:DEFINITION ATOM))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-9
 (137 7 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (120 8 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (53 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-1))
 (48 4 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (44 1 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (43 9 (:DEFINITION LEN))
 (31 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (30 5 (:DEFINITION STRIP-CARS))
 (26 1 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (25 16 (:REWRITE DEFAULT-+-2))
 (18 18 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (17 17 (:REWRITE DEFAULT-CDR))
 (17 17 (:REWRITE DEFAULT-CAR))
 (16 16 (:REWRITE DEFAULT-+-1))
 (14 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (13 9 (:REWRITE DEFAULT-<-2))
 (13 3 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (13 1 (:REWRITE NFIX-WHEN-ZP))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (12 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (11 1 (:REWRITE ZP-OPEN))
 (10 9 (:REWRITE DEFAULT-<-1))
 (10 3 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (9 1 (:REWRITE NFIX-WHEN-NATP))
 (8 8 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8 1 (:REWRITE LEN-OF-STRIP-CARS))
 (8 1 (:DEFINITION ASSOC-EQUAL))
 (7 7 (:TYPE-PRESCRIPTION STRIP-CARS))
 (7 7 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (7 7 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (7 7 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (7 7 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (7 2 (:REWRITE MEMBER-WHEN-ATOM))
 (7 1 (:DEFINITION NFIX))
 (7 1 (:DEFINITION NATP))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 3 (:DEFINITION FIX))
 (6 2 (:REWRITE CONSP-OF-STRIP-CARS))
 (6 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (5 3 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (4 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4 4 (:REWRITE NTH-WHEN-PREFIXP))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (4 3 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 3))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 2))
 (2 2 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE CDR-CONS))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1 1 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 )
(LEMMA-2
 (614 12 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (462 10 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (387 31 (:DEFINITION LEN))
 (384 41 (:REWRITE ZP-OPEN))
 (345 66 (:REWRITE DEFAULT-CAR))
 (335 8 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (298 2 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (296 30 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (286 14 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (209 20 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (189 8 (:REWRITE INTERSECTP-MEMBER . 1))
 (168 168 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (168 4 (:DEFINITION ALISTP))
 (162 5 (:REWRITE CONSP-OF-REPEAT))
 (156 4 (:REWRITE TAKE-OF-LEN-FREE))
 (154 95 (:REWRITE DEFAULT-<-2))
 (136 4 (:REWRITE SUBSETP-OF-REPEAT))
 (131 9 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (126 21 (:DEFINITION STRIP-CARS))
 (125 41 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (125 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (123 41 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (120 8 (:REWRITE OMAP::ALISTP-WHEN-MAPP))
 (104 63 (:REWRITE DEFAULT-+-2))
 (99 3 (:REWRITE MEMBER-OF-REPEAT))
 (98 41 (:REWRITE CONSP-OF-STRIP-CARS))
 (98 1 (:REWRITE MEMBER-OF-APPEND))
 (97 95 (:REWRITE DEFAULT-<-1))
 (96 3 (:REWRITE REPEAT-UNDER-IFF))
 (84 14 (:REWRITE NFIX-WHEN-ZP))
 (82 82 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (82 82 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (81 66 (:REWRITE DEFAULT-CDR))
 (80 2 (:REWRITE CONSP-OF-APPEND))
 (77 1 (:REWRITE SUBSETP-APPEND1))
 (75 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (70 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (64 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (63 63 (:REWRITE DEFAULT-+-1))
 (63 14 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (59 1 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (57 8 (:REWRITE CONSP-OF-TAKE))
 (56 8 (:REWRITE OMAP::MFIX-IMPLIES-MAPP))
 (52 2 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (52 1 (:DEFINITION BINARY-APPEND))
 (48 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (41 41 (:LINEAR POSITION-WHEN-MEMBER))
 (41 41 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (41 2 (:REWRITE CONSP-OF-ASSOC-OF-NTH-OF-STRIP-CARS))
 (40 8 (:REWRITE OMAP::MAPP-WHEN-NOT-EMPTY))
 (40 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (40 7 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (36 13 (:REWRITE SUBSETP-MEMBER . 1))
 (33 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (32 32 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (32 16 (:TYPE-PRESCRIPTION OMAP::MFIX))
 (30 1 (:REWRITE REPEAT-WHEN-ZP))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (24 3 (:DEFINITION ASSOC-EQUAL))
 (23 8 (:REWRITE MEMBER-WHEN-ATOM))
 (23 7 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (23 1 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (20 20 (:TYPE-PRESCRIPTION ALISTP))
 (19 4 (:REWRITE TAKE-WHEN-ATOM))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (17 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (16 16 (:TYPE-PRESCRIPTION TRUE-LISTP-TAKE))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (16 16 (:TYPE-PRESCRIPTION OMAP::EMPTY))
 (16 8 (:REWRITE OMAP::MFIX-WHEN-MAPP))
 (16 8 (:REWRITE OMAP::MAPP-NON-NIL-IMPLIES-NON-EMPTY))
 (14 14 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (13 7 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (12 12 (:TYPE-PRESCRIPTION REPEAT))
 (12 4 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (12 3 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (12 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (11 11 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (10 10 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (10 10 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (10 10 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (10 10 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (10 10 (:REWRITE NTH-WHEN-PREFIXP))
 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (9 8 (:REWRITE INTERSECTP-MEMBER . 3))
 (8 8 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8 8 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (8 8 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (8 8 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (8 4 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (7 7 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (5 5 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (5 5 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (4 4 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:REWRITE FOLD-CONSTS-IN-+))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-10
 (76 1 (:REWRITE TAKE-WHEN-PREFIXP))
 (62 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (50 7 (:DEFINITION LEN))
 (48 48 (:TYPE-PRESCRIPTION HIFAT-TAR-NAME-LIST-ALIST))
 (40 2 (:REWRITE ZP-OPEN))
 (40 1 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (39 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (33 3 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (31 2 (:REWRITE NFIX-WHEN-ZP))
 (30 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (25 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (20 11 (:REWRITE DEFAULT-+-2))
 (18 6 (:REWRITE CONSP-OF-STRIP-CARS))
 (12 12 (:TYPE-PRESCRIPTION STRIP-CARS))
 (12 11 (:REWRITE DEFAULT-+-1))
 (12 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 2 (:DEFINITION STRIP-CARS))
 (12 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (10 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (9 9 (:REWRITE DEFAULT-CDR))
 (9 3 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (9 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (8 4 (:REWRITE DEFAULT-<-2))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (6 1 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (6 1 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:REWRITE DEFAULT-CAR))
 (4 4 (:REWRITE DEFAULT-<-1))
 (4 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:TYPE-PRESCRIPTION PREFIXP))
 (3 3 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (2 2 (:REWRITE SUBSETP-TRANS2))
 (2 2 (:REWRITE SUBSETP-TRANS))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2 2 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (2 2 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (2 2 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1 1 (:REWRITE MEMBER-WHEN-ATOM))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 1))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (1 1 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (1 1 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-11
 (132 8 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (128 8 (:DEFINITION ASSOC-EQUAL))
 (80 24 (:REWRITE DEFAULT-CAR))
 (56 16 (:REWRITE DEFAULT-CDR))
 (37 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (36 6 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (36 6 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (28 4 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (28 4 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (16 16 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (14 2 (:REWRITE ZP-OPEN))
 (12 12 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (12 12 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (12 12 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (11 10 (:REWRITE DEFAULT-<-2))
 (11 10 (:REWRITE DEFAULT-<-1))
 (10 2 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (10 2 (:REWRITE NFIX-WHEN-ZP))
 (10 2 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (9 6 (:REWRITE DEFAULT-+-2))
 (9 6 (:REWRITE DEFAULT-+-1))
 (9 2 (:REWRITE NFIX-WHEN-NATP))
 (9 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (9 1 (:REWRITE REPEAT-WHEN-ZP))
 (9 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8 2 (:DEFINITION NFIX))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 6 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (5 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (5 1 (:DEFINITION NATP))
 (4 4 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (4 4 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4 4 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (4 4 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (3 3 (:TYPE-PRESCRIPTION NATP))
 (3 3 (:TYPE-PRESCRIPTION FILE-TABLE-ELEMENT->FID$INLINE))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-2))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (1 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-12
 (1690 120 (:DEFINITION ASSOC-EQUAL))
 (1200 360 (:REWRITE DEFAULT-CAR))
 (1079 110 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (770 50 (:DEFINITION LEN))
 (592 102 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (502 87 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (455 65 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (432 63 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (404 280 (:REWRITE DEFAULT-CDR))
 (392 72 (:REWRITE STR::CONSP-OF-EXPLODE))
 (385 55 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (333 52 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (286 114 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (235 5 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (214 78 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (204 204 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (196 196 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (166 166 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (138 36 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (134 70 (:REWRITE DEFAULT-+-2))
 (112 4 (:DEFINITION LENGTH))
 (108 108 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (104 5 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (98 98 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (86 86 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (86 86 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (83 83 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (82 70 (:REWRITE DEFAULT-+-1))
 (75 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (72 72 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (68 68 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (68 68 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (63 63 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (50 10 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (46 11 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (40 40 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (29 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (28 28 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (27 17 (:REWRITE DEFAULT-<-2))
 (26 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-2))
 (22 17 (:REWRITE DEFAULT-<-1))
 (20 20 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (20 20 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20 10 (:REWRITE DEFAULT-*-2))
 (19 2 (:REWRITE NFIX-WHEN-NATP))
 (18 18 (:TYPE-PRESCRIPTION FILE-TABLE-ELEMENT->FID$INLINE))
 (12 2 (:DEFINITION NATP))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (10 10 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (10 10 (:REWRITE DEFAULT-*-1))
 (10 10 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (8 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (5 5 (:TYPE-PRESCRIPTION M1-FILE-P))
 (5 5 (:TYPE-PRESCRIPTION LENGTH))
 (5 5 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (5 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 (2 1 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-13)
(NOT-CONSP-ASSOC-NIL-HIFAT-TAR-NAME-LIST-ALIST
 (754 24 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-13))
 (677 55 (:DEFINITION LEN))
 (520 520 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (364 14 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-12))
 (317 24 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (275 110 (:REWRITE DEFAULT-CDR))
 (245 63 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (238 68 (:REWRITE STR::CONSP-OF-EXPLODE))
 (225 132 (:REWRITE DEFAULT-<-2))
 (208 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (194 2 (:REWRITE HIFAT-FIND-FILE-OF-APPEND-1))
 (193 168 (:REWRITE DEFAULT-CAR))
 (157 132 (:REWRITE DEFAULT-<-1))
 (154 38 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (151 90 (:REWRITE DEFAULT-+-2))
 (140 2 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (102 102 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (99 90 (:REWRITE DEFAULT-+-1))
 (94 12 (:DEFINITION BINARY-APPEND))
 (68 34 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (63 63 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (58 58 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (58 58 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (56 14 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (52 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (50 50 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (50 7 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (48 8 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (46 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (45 4 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (42 14 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (42 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (38 8 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (32 6 (:REWRITE CONSP-OF-APPEND))
 (32 4 (:REWRITE CAR-OF-APPEND))
 (30 30 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (30 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (28 28 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (23 23 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (20 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (20 4 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (20 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (18 6 (:REWRITE FOLD-CONSTS-IN-+))
 (14 14 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (14 14 (:REWRITE HIFAT-OPEN-CORRECTNESS-1))
 (14 14 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (12 6 (:REWRITE APPEND-OF-CONS))
 (12 2 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (9 9 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (8 8 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (8 8 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (8 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (8 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (8 2 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER))
 (7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (5 5 (:REWRITE ASSOC-OF-ALIST-SHIFT))
 (4 4 (:REWRITE SUBSETP-TRANS2))
 (4 4 (:REWRITE SUBSETP-TRANS))
 (4 4 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (4 4 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (4 4 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (4 4 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (4 2 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (4 2 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (4 1 (:REWRITE LEN-OF-APPEND))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2 2 (:TYPE-PRESCRIPTION ATOM))
 (2 2 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (2 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (2 2 (:REWRITE ASSOC-OF-APPEND-1))
 (2 2 (:DEFINITION ATOM))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 )
(NATP-OF-CDR-OF-ASSOC-OF-HIFAT-TAR-NAME-LIST-ALIST
 (120365 2313 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (112148 2529 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (98470 212 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (92145 2180 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (88589 575 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (74444 2124 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (62991 1293 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (60079 5212 (:REWRITE DEFAULT-CDR))
 (44514 612 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (35908 14 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (19923 2331 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (18962 40 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (17613 2313 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (17180 17180 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (16790 2124 (:REWRITE LEN-WHEN-PREFIXP))
 (13562 2222 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (12716 2156 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (9858 3286 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9858 3286 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (6572 6572 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (6572 6572 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6328 560 (:REWRITE NFIX-WHEN-ZP))
 (6179 43 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (6054 2018 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (6034 3542 (:REWRITE DEFAULT-<-2))
 (5798 3093 (:REWRITE DEFAULT-+-2))
 (5511 121 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-13))
 (5373 3542 (:REWRITE DEFAULT-<-1))
 (5360 64 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5026 52 (:REWRITE HIFAT-FIND-FILE-OF-APPEND-1))
 (4739 2319 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (4097 2966 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (3967 3967 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (3674 588 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3344 3093 (:REWRITE DEFAULT-+-1))
 (3286 3286 (:LINEAR POSITION-WHEN-MEMBER))
 (3286 3286 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3256 141 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (3189 121 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (3082 3082 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (2912 2893 (:REWRITE DEFAULT-CAR))
 (2771 20 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (2679 2319 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2462 52 (:REWRITE LEN-OF-NTHCDR))
 (2425 2425 (:TYPE-PRESCRIPTION SUBLISTP))
 (2262 26 (:DEFINITION NTHCDR))
 (1898 73 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-12))
 (1604 393 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (1523 1463 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1477 422 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1355 315 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1323 81 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1260 214 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1224 1224 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (1224 1224 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1224 1224 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1122 162 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (1076 58 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (994 214 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (945 81 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (936 24 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (885 720 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (848 106 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (800 50 (:REWRITE LEN-OF-APPEND))
 (786 110 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (771 180 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (680 600 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (678 6 (:LINEAR NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-11))
 (633 633 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (615 7 (:REWRITE TAKE-OF-TOO-MANY))
 (612 612 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (600 600 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (593 20 (:REWRITE SUBSETP-OF-CONS))
 (575 575 (:REWRITE SUBLISTP-COMPLETE))
 (574 110 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (540 12 (:DEFINITION LAST))
 (530 106 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (529 217 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (520 104 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (520 20 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (519 519 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (519 519 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (470 194 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (422 211 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (393 393 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (376 376 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (340 340 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (300 40 (:REWRITE SUBSETP-CAR-MEMBER))
 (272 272 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (260 40 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (247 70 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (241 217 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (237 79 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (225 7 (:REWRITE TAKE-OF-LEN-FREE))
 (224 224 (:TYPE-PRESCRIPTION D-E-P))
 (224 224 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (214 214 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (212 212 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (212 106 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (212 106 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (208 208 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (208 208 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (200 20 (:REWRITE SUBSETP-CONS-2))
 (196 28 (:DEFINITION NFIX))
 (192 6 (:REWRITE NTHCDR-OF-APPEND))
 (171 100 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (171 43 (:REWRITE NTH-WHEN-PREFIXP))
 (156 156 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (155 65 (:REWRITE FOLD-CONSTS-IN-+))
 (143 143 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (120 20 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (110 110 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (106 106 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (106 106 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (106 106 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (106 106 (:REWRITE SET::IN-SET))
 (104 52 (:REWRITE DEFAULT-UNARY-MINUS))
 (100 100 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (100 100 (:REWRITE SUBSETP-TRANS2))
 (100 100 (:REWRITE SUBSETP-TRANS))
 (85 85 (:REWRITE HIFAT-OPEN-CORRECTNESS-1))
 (81 81 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (77 77 (:REWRITE CONSP-OF-LIST-FIX))
 (75 9 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (69 69 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (69 69 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (60 60 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (60 20 (:REWRITE SET-EQUIV-OF-NIL))
 (58 58 (:TYPE-PRESCRIPTION M1-FILE-P))
 (58 58 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (55 55 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (52 52 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 (40 40 (:REWRITE SUBSETP-NIL))
 (40 40 (:REWRITE SUBSETP-MEMBER . 1))
 (33 3 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (32 32 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 (30 6 (:LINEAR NTH-WHEN-D-E-P))
 (18 18 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (18 6 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (15 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (12 12 (:REWRITE LIST-EQUIV-OF-CONS-AND-CONS))
 (7 7 (:REWRITE TAKE-WHEN-ATOM))
 (3 3 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (3 3 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-15
 (2148 37 (:REWRITE ZP-OPEN))
 (1460 42 (:REWRITE CONSP-OF-REPEAT))
 (1174 1 (:REWRITE MAKE-D-E-LIST-OF-APPEND-2))
 (945 2 (:REWRITE CHARACTER-LISTP-APPEND))
 (930 9 (:REWRITE REPEAT-WHEN-ZP))
 (845 25 (:DEFINITION CHARACTER-LISTP))
 (833 52 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LISTP))
 (759 3 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (723 52 (:REWRITE STR::CHARACTER-LISTP-WHEN-DEC-DIGIT-CHAR-LISTP))
 (631 31 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (548 224 (:REWRITE DEFAULT-CDR))
 (522 206 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (504 18 (:DEFINITION BINARY-APPEND))
 (498 12 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (485 5 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-OF-REPEAT))
 (485 5 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-OF-REPEAT))
 (483 105 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (426 3 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (362 179 (:REWRITE DEFAULT-+-2))
 (347 123 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (347 21 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (268 1 (:REWRITE MAKE-D-E-LIST-OF-APPEND-1))
 (263 1 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (208 208 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (183 179 (:REWRITE DEFAULT-+-1))
 (178 178 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (166 62 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (166 62 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (150 76 (:REWRITE DEFAULT-<-2))
 (142 58 (:REWRITE DEFAULT-CAR))
 (139 1 (:REWRITE NFIX-WHEN-ZP))
 (138 138 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (135 1 (:REWRITE NFIX-WHEN-NATP))
 (131 1 (:DEFINITION NATP))
 (126 3 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-OF-APPEND))
 (124 124 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (124 124 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (122 122 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (120 60 (:REWRITE DEFAULT-*-2))
 (114 3 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-OF-APPEND))
 (106 104 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-SUBSETP-EQUAL))
 (102 102 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (96 16 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (78 76 (:REWRITE DEFAULT-<-1))
 (72 72 (:TYPE-PRESCRIPTION TAR-LEN-ENCODE))
 (72 18 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (66 66 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LISTP))
 (66 66 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-LISTP))
 (64 64 (:TYPE-PRESCRIPTION CHARACTER-LISTP))
 (62 62 (:LINEAR POSITION-WHEN-MEMBER))
 (62 62 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (60 60 (:REWRITE DEFAULT-*-1))
 (57 49 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (57 49 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-WHEN-NOT-CONSP))
 (57 41 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-OF-CONS))
 (53 41 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-OF-CONS))
 (47 47 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (33 3 (:REWRITE STR-FIX-WHEN-STRINGP))
 (32 32 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (32 32 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (30 30 (:TYPE-PRESCRIPTION MAKE-CHARACTER-LIST))
 (25 25 (:REWRITE CHAR-FIX-WHEN-CHARACTERP))
 (25 25 (:REWRITE CHAR-FIX-DEFAULT))
 (18 9 (:REWRITE DEFAULT-UNARY-MINUS))
 (16 16 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (15 3 (:DEFINITION UNSIGNED-BYTE-P))
 (12 3 (:DEFINITION INTEGER-RANGE-P))
 (10 5 (:REWRITE STR::HEX-DIGIT-CHAR-LISTP-OF-CDR-WHEN-HEX-DIGIT-CHAR-LISTP))
 (10 5 (:REWRITE STR::DEC-DIGIT-CHAR-LISTP-OF-CDR-WHEN-DEC-DIGIT-CHAR-LISTP))
 (9 3 (:REWRITE STR-FIX-DEFAULT))
 (7 7 (:TYPE-PRESCRIPTION ZP))
 (4 4 (:REWRITE STR::HEX-DIGIT-CHAR-P-WHEN-MEMBER-EQUAL-OF-HEX-DIGIT-CHAR-LISTP))
 (4 2 (:REWRITE STR::HEX-DIGIT-CHAR-P-WHEN-NONZERO-HEX-DIGIT-CHAR-P))
 (4 2 (:REWRITE STR::DEC-DIGIT-CHAR-P-WHEN-NONZERO-DEC-DIGIT-CHAR-P))
 (2 2 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION STR::NONZERO-HEX-DIGIT-CHAR-P$INLINE))
 (2 2 (:TYPE-PRESCRIPTION STR::NONZERO-DEC-DIGIT-CHAR-P$INLINE))
 (2 2 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-P$INLINE))
 (2 2 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-P$INLINE))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE FOLD-CONSTS-IN-+))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE CHARACTER-LISTP-OF-EXPLODE))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-16)
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-17)
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-18)
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-21
 (14819 1855 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (13476 76 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (10632 1183 (:DEFINITION ASSOC-EQUAL))
 (9893 291 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8385 595 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (4503 524 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (3979 3979 (:REWRITE DEFAULT-CAR))
 (3933 3855 (:REWRITE DEFAULT-CDR))
 (3745 16 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (3704 3704 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (3662 85 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (3007 3007 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (2662 242 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2210 442 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (1934 1934 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1783 43 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (1504 1504 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1452 242 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1400 292 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1392 232 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (1322 274 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1210 242 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1020 204 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (768 256 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (642 642 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (524 524 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (524 524 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (484 484 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (464 464 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (427 43 (:DEFINITION LEN))
 (390 15 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-12))
 (324 18 (:REWRITE LENGTH-WHEN-STRINGP))
 (289 289 (:TYPE-PRESCRIPTION M1-FILE-P))
 (289 62 (:DEFINITION BINARY-APPEND))
 (247 247 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (242 242 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (242 242 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (232 232 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (232 232 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (232 232 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (219 123 (:REWRITE DEFAULT-<-2))
 (159 9 (:DEFINITION ALIST-SHIFT))
 (150 123 (:REWRITE DEFAULT-<-1))
 (140 73 (:REWRITE DEFAULT-+-2))
 (131 131 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (114 3 (:REWRITE NFIX-WHEN-ZP))
 (108 36 (:REWRITE STR::CONSP-OF-EXPLODE))
 (94 73 (:REWRITE DEFAULT-+-1))
 (90 90 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (85 85 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (78 78 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (76 76 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (54 54 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (48 3 (:REWRITE COMMUTATIVITY-OF-+))
 (45 15 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (43 43 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (38 38 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (38 38 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (36 36 (:TYPE-PRESCRIPTION TAR-HEADER-BLOCK))
 (30 18 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (27 3 (:REWRITE COMMUTATIVITY-2-OF-+))
 (21 21 (:TYPE-PRESCRIPTION STRINGP-OF-HIFAT-TAR-NAME-LIST-STRING-REDUCTION))
 (21 21 (:TYPE-PRESCRIPTION HIFAT-TAR-REG-FILE-STRING))
 (21 9 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (20 20 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (17 17 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (15 15 (:REWRITE HIFAT-OPEN-CORRECTNESS-1))
 (12 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-15))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (12 4 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (9 9 (:TYPE-PRESCRIPTION ALIST-SHIFT))
 (9 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (8 8 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 6 (:REWRITE FOLD-CONSTS-IN-+))
 (6 2 (:REWRITE APPEND-UNDER-IFF))
 (4 4 (:LINEAR POSITION-WHEN-MEMBER))
 (4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3 3 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (3 3 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (3 3 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22
 (1286 69 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (1068 126 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (989 56 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (986 89 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (984 530 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (882 80 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (742 24 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (569 25 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (532 80 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (514 173 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (465 49 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (438 30 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (366 366 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (304 304 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (294 25 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (265 265 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (252 218 (:REWRITE DEFAULT-CAR))
 (243 69 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (240 80 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (211 163 (:REWRITE DEFAULT-CDR))
 (201 201 (:TYPE-PRESCRIPTION M1-FILE-P))
 (183 53 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (167 167 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (167 167 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (160 16 (:REWRITE M1-FILE-HIFAT-FILE-ALIST-FIX-NORMALISATION))
 (150 25 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (144 48 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (125 25 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (125 25 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (123 24 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (108 108 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (100 100 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (100 100 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (91 56 (:REWRITE DEFAULT-+-2))
 (78 24 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (77 11 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (76 56 (:REWRITE DEFAULT-+-1))
 (72 24 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (69 69 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (69 69 (:REWRITE SUBSETP-TRANS2))
 (69 69 (:REWRITE SUBSETP-TRANS))
 (64 32 (:REWRITE M1-FILE->CONTENTS$INLINE-OF-M1-FILE-FIX-X))
 (52 30 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (50 50 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (50 50 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (50 50 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (48 48 (:REWRITE CDR-CONS))
 (35 35 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (31 31 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (30 30 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (25 25 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (23 23 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (18 18 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (16 16 (:REWRITE M1-FILE->D-E$INLINE-OF-M1-FILE-FIX-X))
 (16 16 (:REWRITE HIFAT-NO-DUPS-P-OF-HIFAT-FILE-ALIST-FIX))
 (14 14 (:REWRITE FOLD-CONSTS-IN-+))
 (12 2 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-1))
 (8 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (6 2 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-2))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24
 (1790 31 (:DEFINITION SUBSETP-EQUAL))
 (1131 115 (:REWRITE SUBSETP-TRANS))
 (531 115 (:REWRITE SUBSETP-TRANS2))
 (372 35 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (331 19 (:REWRITE MEMBER-OF-STRIP-CARS))
 (320 32 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (306 306 (:TYPE-PRESCRIPTION STRIP-CARS))
 (256 16 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (247 115 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (205 145 (:REWRITE DEFAULT-CAR))
 (200 26 (:DEFINITION ASSOC-EQUAL))
 (158 15 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (153 93 (:REWRITE DEFAULT-CDR))
 (145 7 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (144 16 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (140 36 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (136 8 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (128 128 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (115 31 (:REWRITE SUBSETP-CAR-MEMBER))
 (112 24 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (106 64 (:REWRITE DEFAULT-+-2))
 (98 38 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (96 8 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (95 95 (:REWRITE CONSP-OF-STRIP-CARS))
 (88 64 (:REWRITE DEFAULT-+-1))
 (84 84 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (82 26 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (80 16 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (70 70 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (70 70 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (64 64 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (48 16 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (48 16 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (48 8 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (48 8 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (48 8 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (48 8 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (46 46 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (46 46 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (40 40 (:TYPE-PRESCRIPTION M1-FILE-P))
 (40 8 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (40 8 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (31 19 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (30 10 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (28 7 (:REWRITE MEMBER-WHEN-ATOM))
 (27 19 (:DEFINITION NULL))
 (26 26 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (25 25 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (24 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (22 22 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (19 19 (:TYPE-PRESCRIPTION NULL))
 (16 16 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (16 16 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (16 16 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (16 16 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (16 16 (:REWRITE FOLD-CONSTS-IN-+))
 (16 4 (:DEFINITION STRIP-CARS))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (14 14 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (14 14 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (13 13 (:REWRITE SUBSETP-MEMBER . 1))
 (12 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (12 2 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-1))
 (8 8 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (8 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (7 7 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 3))
 (7 7 (:REWRITE INTERSECTP-MEMBER . 2))
 (7 7 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (6 2 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (6 2 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (6 2 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-2))
 (1 1 (:REWRITE SUBSETP-MEMBER . 3))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23
 (1776 69 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (1676 206 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (1327 148 (:DEFINITION ASSOC-EQUAL))
 (1187 63 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1172 293 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (971 595 (:REWRITE DEFAULT-CDR))
 (922 22 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (906 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (895 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (885 885 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (815 14 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (773 7 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (727 43 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (628 68 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (562 14 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (561 561 (:REWRITE DEFAULT-CAR))
 (541 69 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (532 28 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (493 41 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (484 8 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (466 31 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (412 412 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (392 66 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (380 40 (:REWRITE STR::CONSP-OF-EXPLODE))
 (348 348 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (347 63 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (300 20 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (293 293 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (288 41 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (280 140 (:REWRITE DEFAULT-+-2))
 (258 258 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (256 4 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (224 224 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (215 43 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (208 14 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (204 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (189 14 (:REWRITE LEN-WHEN-PREFIXP))
 (173 28 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (140 140 (:REWRITE DEFAULT-+-1))
 (139 139 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (135 45 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (135 45 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (135 27 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (132 132 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (122 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (115 23 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (90 90 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (90 90 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (90 90 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (90 4 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (84 84 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (81 81 (:TYPE-PRESCRIPTION M1-FILE-P))
 (70 70 (:TYPE-PRESCRIPTION PREFIXP))
 (66 66 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (66 22 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (66 11 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (62 62 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (62 31 (:REWRITE DEFAULT-<-2))
 (60 60 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (59 59 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (53 31 (:REWRITE DEFAULT-<-1))
 (46 46 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (46 46 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (45 45 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (45 45 (:LINEAR POSITION-WHEN-MEMBER))
 (45 45 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (34 34 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (34 34 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (34 34 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (32 32 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (32 32 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (28 28 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (28 28 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (28 28 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (28 28 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (28 28 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (28 28 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (28 28 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (28 4 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (24 8 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (21 21 (:TYPE-PRESCRIPTION SUBLISTP))
 (21 3 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (19 19 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (16 16 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (16 8 (:REWRITE DEFAULT-*-2))
 (15 9 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (10 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (8 8 (:REWRITE DEFAULT-*-1))
 (7 7 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (7 7 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (7 7 (:REWRITE SUBLISTP-COMPLETE))
 (7 7 (:REWRITE HIFAT-NO-DUPS-P-OF-HIFAT-FILE-ALIST-FIX))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (4 4 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25
 (3 1 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-30
 (25487 832 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14085 268 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (9620 1147 (:REWRITE NFIX-WHEN-ZP))
 (8293 5258 (:REWRITE DEFAULT-CAR))
 (5700 2968 (:REWRITE DEFAULT-+-2))
 (5605 40 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (5466 20 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (5173 832 (:REWRITE LEN-WHEN-PREFIXP))
 (5106 714 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (3944 2029 (:REWRITE DEFAULT-<-2))
 (3554 3554 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (3554 3554 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3037 2968 (:REWRITE DEFAULT-+-1))
 (2878 2029 (:REWRITE DEFAULT-<-1))
 (1944 1072 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1916 9 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (1823 858 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1777 1777 (:LINEAR POSITION-WHEN-MEMBER))
 (1746 7 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1599 109 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1446 56 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1305 435 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1109 423 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (1098 452 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (1092 182 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (1023 378 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1016 222 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1008 122 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (976 362 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (969 969 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (969 969 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (969 969 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (969 969 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (963 219 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (870 870 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (854 28 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (849 444 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (770 154 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (756 756 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (749 185 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (725 118 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (634 9 (:REWRITE SUBSETP-OF-CONS))
 (616 616 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (603 9 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (596 75 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (567 567 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (554 527 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (536 536 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (536 536 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (536 536 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (469 14 (:REWRITE LEN-OF-NTHCDR))
 (351 23 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (308 14 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (306 9 (:REWRITE EQUAL-OF-DIR-STREAM))
 (298 298 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (298 298 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (294 294 (:REWRITE INTERSECTP-MEMBER . 3))
 (294 294 (:REWRITE INTERSECTP-MEMBER . 2))
 (294 14 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (290 189 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (286 5 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (284 23 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (273 198 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (268 268 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (266 266 (:REWRITE SUBLISTP-COMPLETE))
 (265 229 (:REWRITE NTH-WHEN-PREFIXP))
 (255 255 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (255 255 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (252 18 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (225 140 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (220 220 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (220 220 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (212 212 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (202 156 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (182 182 (:TYPE-PRESCRIPTION ATOM))
 (168 168 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (156 156 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (156 156 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (156 156 (:REWRITE SUBSETP-TRANS2))
 (156 156 (:REWRITE SUBSETP-TRANS))
 (131 131 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (128 16 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (119 119 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (118 30 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (117 18 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (112 14 (:REWRITE CAR-OF-APPEND))
 (110 110 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (110 110 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (108 18 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (104 104 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-15))
 (94 18 (:REWRITE CONSP-OF-APPEND))
 (93 6 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (90 9 (:REWRITE SUBSETP-CONS-2))
 (80 16 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (72 72 (:REWRITE CONSP-OF-STRIP-CARS))
 (58 1 (:REWRITE WHEN-APPEND-SAME))
 (56 56 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (56 28 (:REWRITE DEFAULT-*-2))
 (54 54 (:REWRITE CONSP-OF-LIST-FIX))
 (54 18 (:REWRITE CDR-OF-LIST-FIX))
 (54 9 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (50 40 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (50 2 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (44 44 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (44 44 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (36 18 (:REWRITE CAR-OF-LIST-FIX))
 (35 23 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (32 32 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (32 32 (:TYPE-PRESCRIPTION D-E-P))
 (32 32 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (32 16 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (32 16 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (31 1 (:DEFINITION LAST))
 (30 30 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (30 15 (:REWRITE DEFAULT-UNARY-MINUS))
 (29 29 (:REWRITE-QUOTED-CONSTANT FILE-TABLE-FIX-UNDER-FILE-TABLE-EQUIV))
 (29 29 (:REWRITE-QUOTED-CONSTANT FD-TABLE-FIX-UNDER-FD-TABLE-EQUIV))
 (28 28 (:REWRITE DEFAULT-*-1))
 (28 7 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (27 9 (:REWRITE SET-EQUIV-OF-NIL))
 (24 24 (:REWRITE FD-TABLE-P-OF-FD-TABLE-FIX))
 (22 22 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (18 18 (:REWRITE SUBSETP-NIL))
 (18 18 (:REWRITE LIST-FIX-UNDER-LIST-EQUIV))
 (18 18 (:REWRITE LIST-FIX-UNDER-IFF))
 (16 16 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (16 16 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (16 16 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16 16 (:REWRITE SET::IN-SET))
 (16 16 (:REWRITE FILE-TABLE-P-OF-FILE-TABLE-FIX))
 (14 14 (:TYPE-PRESCRIPTION NATP))
 (14 14 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (14 14 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (14 14 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (14 14 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (14 14 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (14 14 (:LINEAR LISTPOS-COMPLETE))
 (12 4 (:REWRITE CONSP-OF-ASSOC-EQUAL-OF-APPEND))
 (7 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 (6 6 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (5 5 (:REWRITE TAKE-WHEN-ATOM))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION LAST))
 (1 1 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST
 (2904 1810 (:REWRITE DEFAULT-CDR))
 (1928 136 (:REWRITE SUBSETP-CAR-MEMBER))
 (1792 300 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1694 85 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (1592 1229 (:REWRITE DEFAULT-CAR))
 (1546 850 (:REWRITE DEFAULT-+-2))
 (1412 562 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (1120 368 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1044 260 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (886 850 (:REWRITE DEFAULT-+-1))
 (748 68 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (716 16 (:REWRITE NFIX-WHEN-ZP))
 (622 340 (:REWRITE DEFAULT-<-2))
 (611 611 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (552 552 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (506 506 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (408 408 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (408 408 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (408 408 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (376 340 (:REWRITE DEFAULT-<-1))
 (376 144 (:REWRITE MEMBER-WHEN-ATOM))
 (312 184 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (288 144 (:REWRITE SET-EQUIV-ASYM))
 (272 136 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (258 164 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (256 12 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (244 8 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (236 76 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (212 212 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (144 144 (:TYPE-PRESCRIPTION SET-EQUIV))
 (144 144 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (144 144 (:REWRITE SUBSETP-OF-CDR))
 (144 144 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (144 144 (:REWRITE INTERSECTP-MEMBER . 3))
 (144 144 (:REWRITE INTERSECTP-MEMBER . 2))
 (144 144 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (144 48 (:REWRITE FOLD-CONSTS-IN-+))
 (134 134 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (128 128 (:REWRITE SUBSETP-MEMBER . 1))
 (124 2 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (112 112 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-15))
 (88 4 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (84 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (80 80 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (80 80 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (72 8 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (64 4 (:REWRITE LEN-OF-APPEND))
 (60 4 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (58 58 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (58 58 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (54 18 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (52 8 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (40 8 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (36 36 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (32 32 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (32 4 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (29 29 (:LINEAR POSITION-WHEN-MEMBER))
 (28 28 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (24 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (17 17 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (16 16 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (16 16 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (16 8 (:REWRITE DEFAULT-*-2))
 (16 4 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (16 4 (:REWRITE COMMUTATIVITY-OF-+))
 (12 12 (:TYPE-PRESCRIPTION NFIX))
 (12 12 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (12 12 (:REWRITE NTH-WHEN-PREFIXP))
 (8 8 (:TYPE-PRESCRIPTION STRUCT-STAT->ST_SIZE$INLINE))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-PREAD))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-OPENDIR))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-OPEN))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-CLOSEDIR))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-CLOSE))
 (8 8 (:TYPE-PRESCRIPTION GET-NAMES-FROM-DIRP))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE DEFAULT-*-1))
 (8 4 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (8 4 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (4 4 (:REWRITE SUBSETP-TRANS2))
 (4 4 (:REWRITE SUBSETP-TRANS))
 (4 4 (:REWRITE SUBLISTP-COMPLETE))
 (4 4 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (4 4 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (4 4 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (4 4 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (4 4 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (4 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (4 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (4 4 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2 2 (:REWRITE-QUOTED-CONSTANT FILE-TABLE-FIX-UNDER-FILE-TABLE-EQUIV))
 (2 2 (:REWRITE-QUOTED-CONSTANT FD-TABLE-FIX-UNDER-FD-TABLE-EQUIV))
 (2 2 (:REWRITE INTERSECTP-MEMBER . 1))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (2 2 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (2 2 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-22
 (394 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (304 38 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (225 25 (:DEFINITION ASSOC-EQUAL))
 (204 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (197 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (115 5 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (108 27 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (104 104 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (86 86 (:REWRITE DEFAULT-CAR))
 (81 9 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (78 78 (:REWRITE DEFAULT-CDR))
 (76 76 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (66 6 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (42 42 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (40 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (36 6 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (32 32 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (31 10 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (30 5 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (27 27 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (26 1 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (25 5 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (25 5 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (25 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (25 5 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (25 5 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (23 23 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (18 6 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (13 13 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (12 12 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (11 11 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (11 1 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (10 10 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (10 10 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10 10 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (10 2 (:LINEAR NTH-WHEN-D-E-P))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (5 5 (:TYPE-PRESCRIPTION M1-FILE-P))
 (5 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 1 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (5 1 (:DEFINITION LEN))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 2 (:REWRITE DEFAULT-<-2))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:TYPE-PRESCRIPTION NAT-LISTP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (2 2 (:REWRITE DEFAULT-<-1))
 (2 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (2 2 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE NTH-WHEN-PREFIXP))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23
 (934 82 (:REWRITE OMAP::ALISTP-WHEN-MAPP))
 (505 433 (:REWRITE DEFAULT-CDR))
 (423 417 (:REWRITE DEFAULT-CAR))
 (355 71 (:REWRITE OMAP::MFIX-IMPLIES-MAPP))
 (355 71 (:REWRITE OMAP::MAPP-WHEN-NOT-EMPTY))
 (338 82 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (295 82 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (284 284 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (242 22 (:DEFINITION LEN))
 (204 38 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (190 38 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (152 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (142 142 (:TYPE-PRESCRIPTION OMAP::MFIX))
 (142 142 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (142 142 (:TYPE-PRESCRIPTION OMAP::EMPTY))
 (142 71 (:REWRITE OMAP::MFIX-WHEN-MAPP))
 (142 71 (:REWRITE OMAP::MAPP-NON-NIL-IMPLIES-NON-EMPTY))
 (134 134 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (104 6 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (92 92 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (89 24 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (80 16 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (72 44 (:REWRITE DEFAULT-<-1))
 (71 71 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (66 66 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (66 44 (:REWRITE STR::CONSP-OF-EXPLODE))
 (62 62 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (44 44 (:REWRITE DEFAULT-<-2))
 (44 22 (:REWRITE DEFAULT-+-2))
 (38 38 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (38 38 (:REWRITE SUBSETP-TRANS2))
 (38 38 (:REWRITE SUBSETP-TRANS))
 (32 32 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (32 32 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (26 26 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (23 11 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (22 22 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (22 22 (:REWRITE DEFAULT-+-1))
 (13 13 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (11 11 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (2 2 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-25
 (182 7 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (80 8 (:DEFINITION LEN))
 (66 4 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (61 2 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (54 18 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (50 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (39 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (37 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (33 9 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (28 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (27 9 (:REWRITE DEFAULT-CDR))
 (22 2 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (20 20 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (18 18 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (18 12 (:REWRITE STR::CONSP-OF-EXPLODE))
 (16 8 (:REWRITE DEFAULT-+-2))
 (16 2 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (15 5 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (12 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (12 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (11 5 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-P))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE DEFAULT-+-1))
 (8 4 (:REWRITE DEFAULT-<-1))
 (7 3 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (6 6 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4 4 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (4 4 (:REWRITE DEFAULT-<-2))
 (4 4 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (4 4 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4 2 (:REWRITE DEFAULT-*-2))
 (3 3 (:REWRITE DEFAULT-CAR))
 (3 1 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (2 2 (:REWRITE DEFAULT-*-1))
 (2 2 (:LINEAR POSITION-WHEN-MEMBER))
 (2 2 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-24
 (104 13 (:DEFINITION ASSOC-EQUAL))
 (78 3 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (77 6 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (70 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (69 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (63 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (60 32 (:REWRITE DEFAULT-CDR))
 (53 53 (:REWRITE DEFAULT-CAR))
 (43 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (33 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (33 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (30 7 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (28 7 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (25 25 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (24 3 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (20 5 (:DEFINITION STRIP-CARS))
 (15 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (15 3 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (15 3 (:DEFINITION LEN))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (12 6 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (7 4 (:REWRITE MEMBER-WHEN-ATOM))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (6 6 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (6 6 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 3 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 3 (:REWRITE DEFAULT-<-2))
 (6 3 (:REWRITE DEFAULT-+-2))
 (5 5 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (5 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (5 5 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (5 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (3 3 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (3 3 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (3 3 (:REWRITE NTH-WHEN-PREFIXP))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (3 3 (:REWRITE SET::IN-SET))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE DEFAULT-+-1))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (3 1 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (2 2 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1 1 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-29
 (104 13 (:DEFINITION ASSOC-EQUAL))
 (78 3 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (77 6 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (70 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (69 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (63 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (57 29 (:REWRITE DEFAULT-CDR))
 (53 53 (:REWRITE DEFAULT-CAR))
 (43 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (33 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (33 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (30 7 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (28 7 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (25 25 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (24 3 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (20 5 (:DEFINITION STRIP-CARS))
 (15 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (15 3 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (15 3 (:DEFINITION LEN))
 (12 12 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (12 12 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (12 6 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (10 10 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (8 8 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (7 4 (:REWRITE MEMBER-WHEN-ATOM))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (6 6 (:TYPE-PRESCRIPTION D-E-P))
 (6 6 (:REWRITE SUBSETP-TRANS2))
 (6 6 (:REWRITE SUBSETP-TRANS))
 (6 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (6 6 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (6 6 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (6 6 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6 3 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (6 3 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 3 (:REWRITE DEFAULT-<-2))
 (6 3 (:REWRITE DEFAULT-+-2))
 (5 5 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (5 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (5 5 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 1 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (5 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 3))
 (4 4 (:REWRITE INTERSECTP-MEMBER . 2))
 (4 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (3 3 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (3 3 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE SUBSETP-MEMBER . 3))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (3 3 (:REWRITE NTH-WHEN-PREFIXP))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (3 3 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (3 3 (:REWRITE SET::IN-SET))
 (3 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:REWRITE DEFAULT-+-1))
 (3 3 (:LINEAR POSITION-WHEN-MEMBER))
 (3 3 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (3 1 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (2 2 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1 1 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (1 1 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (1 1 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-26
 (5408 120 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4406 72 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (3668 126 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (3166 38 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1771 125 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1771 125 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1172 1172 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1146 119 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (1146 119 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1053 147 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (983 484 (:REWRITE DEFAULT-+-2))
 (871 120 (:REWRITE LEN-WHEN-PREFIXP))
 (769 764 (:REWRITE DEFAULT-CDR))
 (715 117 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (690 230 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (690 230 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (655 655 (:TYPE-PRESCRIPTION FAT32-NAME-TO-NAME))
 (630 630 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (510 170 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (509 484 (:REWRITE DEFAULT-+-1))
 (460 460 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (460 460 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (432 72 (:REWRITE NONEMPTY-STRING-LISTP-OF-CDR-WHEN-NONEMPTY-STRING-LISTP))
 (429 315 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (424 53 (:DEFINITION BINARY-APPEND))
 (382 382 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (378 126 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (328 163 (:REWRITE DEFAULT-<-2))
 (325 163 (:REWRITE DEFAULT-<-1))
 (293 293 (:REWRITE DEFAULT-CAR))
 (267 153 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (265 106 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (250 250 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (250 250 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (250 250 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (250 250 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (230 230 (:LINEAR POSITION-WHEN-MEMBER))
 (230 230 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (212 106 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (191 191 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (186 72 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (170 170 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (165 165 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (165 165 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (165 165 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (165 165 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (110 47 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (98 47 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (72 72 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (72 72 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (56 56 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (48 48 (:REWRITE SUBLISTP-COMPLETE))
 (20 20 (:REWRITE FOLD-CONSTS-IN-+))
 (11 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (11 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33
 (24957 19 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (12283 91 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (9964 1288 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (7765 73 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (7470 246 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (6536 155 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4868 155 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (4575 38 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (4491 319 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (4459 152 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4456 300 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (4235 100 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (4204 1051 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (3944 3944 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3726 242 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (3232 392 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2926 2926 (:REWRITE DEFAULT-CAR))
 (2926 210 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2923 209 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (2766 148 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (2562 2562 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (2128 2128 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1908 183 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1836 273 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1585 155 (:REWRITE LEN-WHEN-PREFIXP))
 (1584 1584 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1149 186 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1146 573 (:REWRITE DEFAULT-+-2))
 (1051 1051 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (1026 1026 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (858 286 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (858 286 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (840 168 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (840 168 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (740 148 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (688 688 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (660 220 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (604 102 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (573 573 (:REWRITE DEFAULT-+-1))
 (572 572 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (572 572 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (513 513 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (478 240 (:REWRITE DEFAULT-<-2))
 (439 240 (:REWRITE DEFAULT-<-1))
 (396 396 (:TYPE-PRESCRIPTION M1-FILE-P))
 (350 50 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (344 344 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (336 336 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (336 336 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (302 302 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (294 294 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (294 294 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (294 294 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (294 294 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (286 286 (:LINEAR POSITION-WHEN-MEMBER))
 (286 286 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (285 285 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (222 222 (:TYPE-PRESCRIPTION SUBLISTP))
 (150 150 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (150 150 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (150 50 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (148 148 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (143 143 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (143 143 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (143 143 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (143 143 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (124 124 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (100 100 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (100 100 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (100 100 (:REWRITE SUBLISTP-COMPLETE))
 (77 77 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (48 24 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (26 2 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (25 25 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (24 24 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (19 19 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (12 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (8 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (6 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (4 1 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (2 2 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-FIX-UNDER-DIR-STREAM-EQUIV))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-34
 (12847 124 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8887 23 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (5988 760 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (5065 48 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (4444 48 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (4184 477 (:DEFINITION ASSOC-EQUAL))
 (3594 95 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (3551 73 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (3145 158 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2915 15 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (2715 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (2680 10 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (1943 230 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (1860 1860 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (1626 222 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1539 1539 (:REWRITE DEFAULT-CAR))
 (1520 1520 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (1486 1486 (:REWRITE DEFAULT-CDR))
 (1056 264 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (882 7 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (880 176 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (738 738 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (567 88 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (554 118 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (547 547 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (524 118 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (506 89 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (415 89 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (358 358 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (294 294 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (288 236 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (223 223 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (218 218 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (218 218 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (193 193 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (185 185 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (159 95 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (158 158 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (155 31 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (118 118 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (95 95 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (92 92 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (92 74 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (89 89 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (87 18 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (59 35 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (54 54 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (49 49 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (48 48 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (48 48 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (48 24 (:REWRITE DEFAULT-<-2))
 (40 5 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (35 35 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (33 18 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (28 7 (:DEFINITION STRIP-CARS))
 (25 5 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (24 24 (:REWRITE DEFAULT-<-1))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (12 12 (:REWRITE CONSP-OF-STRIP-CARS))
 (10 10 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (10 10 (:TYPE-PRESCRIPTION D-E-P))
 (10 10 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (10 5 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (10 5 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (8 8 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (5 5 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (5 5 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (5 5 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (5 5 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (5 5 (:REWRITE SET::IN-SET))
 (4 1 (:REWRITE MEMBER-WHEN-ATOM))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 3))
 (1 1 (:REWRITE INTERSECTP-MEMBER . 2))
 (1 1 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35
 (15855 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (14923 362 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (9208 161 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (8622 96 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (7390 159 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (7338 69 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (6419 115 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (6234 93 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5840 764 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (5006 61 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (4535 159 (:REWRITE LEN-WHEN-PREFIXP))
 (4196 353 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (4113 491 (:DEFINITION ASSOC-EQUAL))
 (4070 155 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (2780 427 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2537 162 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (2522 178 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (2461 2461 (:REWRITE DEFAULT-CDR))
 (2371 26 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (1939 1939 (:REWRITE DEFAULT-CAR))
 (1932 1932 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1893 1893 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1851 245 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1792 451 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (1580 155 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1530 85 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (1528 1528 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1520 1520 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (1517 111 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (1462 111 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1216 1216 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (990 330 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (990 330 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (951 100 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (918 306 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (870 439 (:REWRITE DEFAULT-+-2))
 (764 764 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (660 660 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (660 660 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (625 26 (:REWRITE NFIX-WHEN-ZP))
 (611 29 (:REWRITE ZP-OPEN))
 (550 284 (:REWRITE DEFAULT-<-2))
 (470 94 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (470 94 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (459 284 (:REWRITE DEFAULT-<-1))
 (451 451 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (439 439 (:REWRITE DEFAULT-+-1))
 (418 418 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (394 394 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (382 382 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (362 362 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (362 362 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (362 362 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (362 362 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (359 359 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (359 75 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (330 330 (:LINEAR POSITION-WHEN-MEMBER))
 (330 330 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (324 54 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (248 248 (:TYPE-PRESCRIPTION M1-FILE-P))
 (239 239 (:TYPE-PRESCRIPTION SUBLISTP))
 (217 31 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (209 209 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (188 188 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (188 188 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (176 176 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (113 113 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (113 113 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (113 113 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (96 96 (:REWRITE SUBLISTP-COMPLETE))
 (94 94 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (94 94 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (93 31 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (90 90 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (90 45 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (85 85 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (85 85 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (81 81 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (69 69 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (69 69 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (68 68 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (61 61 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (57 18 (:REWRITE NTH-WHEN-PREFIXP))
 (45 45 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (44 26 (:REWRITE NFIX-WHEN-NATP))
 (43 6 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (16 16 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (15 15 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (9 5 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (3 3 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2 1 (:REWRITE LIST-EQUIV-OF-NIL-LEFT))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38
 (2507 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (2447 6 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (1662 15 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1541 22 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1192 37 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1052 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (783 20 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (433 33 (:LINEAR POSITION-WHEN-MEMBER))
 (432 20 (:REWRITE LEN-WHEN-PREFIXP))
 (340 68 (:DEFINITION LEN))
 (301 55 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (270 18 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (253 11 (:REWRITE POSITION-OF-CDR))
 (210 15 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (158 79 (:REWRITE DEFAULT-+-2))
 (154 154 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (148 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (137 137 (:REWRITE DEFAULT-CDR))
 (128 1 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (126 21 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (121 11 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (110 22 (:LINEAR NTH-WHEN-D-E-P))
 (99 33 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (99 33 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (99 33 (:DEFINITION POSITION-EQUAL-AC))
 (90 90 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (88 22 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (80 80 (:REWRITE DEFAULT-CAR))
 (79 79 (:REWRITE DEFAULT-+-1))
 (66 66 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (66 66 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (55 55 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (55 11 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (52 26 (:REWRITE DEFAULT-<-2))
 (51 5 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (48 48 (:TYPE-PRESCRIPTION D-E-P))
 (48 48 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (46 26 (:REWRITE DEFAULT-<-1))
 (44 11 (:DEFINITION POSITION-EQUAL))
 (37 5 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (33 15 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (33 11 (:REWRITE UNICITY-OF-0))
 (33 11 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (33 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (32 32 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (30 1 (:REWRITE NFIX-WHEN-ZP))
 (29 29 (:TYPE-PRESCRIPTION SUBLISTP))
 (28 5 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (26 1 (:REWRITE ZP-OPEN))
 (24 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (23 23 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (22 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (22 11 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (19 1 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (18 16 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (17 11 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (16 16 (:REWRITE SUBSETP-TRANS2))
 (16 16 (:REWRITE SUBSETP-TRANS))
 (16 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (15 15 (:REWRITE SUBLISTP-COMPLETE))
 (14 14 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (14 14 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (14 14 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (14 14 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (11 11 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (11 11 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (11 11 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (11 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (11 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (11 11 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (11 11 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (10 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (8 8 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (8 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (7 7 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (7 7 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (5 5 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5 1 (:REWRITE NTH-WHEN-PREFIXP))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:REWRITE CONSP-OF-LIST-FIX))
 (4 2 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (3 3 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE SET::IN-SET))
 (2 1 (:REWRITE NFIX-WHEN-NATP))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1 1 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-39
 (128 5 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (101 6 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (44 1 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (43 9 (:DEFINITION LEN))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (26 1 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (18 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (14 14 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (14 14 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (14 7 (:REWRITE DEFAULT-+-2))
 (11 11 (:REWRITE DEFAULT-CDR))
 (11 6 (:REWRITE DEFAULT-<-2))
 (7 7 (:REWRITE DEFAULT-+-1))
 (7 7 (:LINEAR POSITION-WHEN-MEMBER))
 (7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (7 6 (:REWRITE DEFAULT-<-1))
 (6 2 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (5 5 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (5 5 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (5 5 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (5 5 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:LINEAR HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-26))
 (4 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (4 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (3 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (3 3 (:REWRITE DEFAULT-CAR))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE CDR-CONS))
 (1 1 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (1 1 (:REWRITE NTH-WHEN-PREFIXP))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (1 1 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-1
 (1492170 3672 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (1195333 33161 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (875073 795 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (793207 9694 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (567548 31746 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (377768 33161 (:REWRITE LEN-WHEN-PREFIXP))
 (308579 34761 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (237459 37587 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (235531 66503 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (178649 37571 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (163564 114038 (:REWRITE DEFAULT-CAR))
 (127270 11368 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (120270 120270 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (120270 120270 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (112156 8938 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (108322 3109 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-34))
 (91710 30570 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (90641 50606 (:REWRITE DEFAULT-<-1))
 (90532 50606 (:REWRITE DEFAULT-<-2))
 (82578 4527 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (72900 61164 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (71227 5842 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-29))
 (70979 5842 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-24))
 (68997 3018 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (68394 542 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (65691 37575 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (63494 32189 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (61164 61164 (:REWRITE SUBSETP-TRANS2))
 (61164 61164 (:REWRITE SUBSETP-TRANS))
 (61140 61140 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (60135 60135 (:LINEAR POSITION-WHEN-MEMBER))
 (55584 6249 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (44834 271 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (41429 37575 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (32865 1875 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (25322 19418 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (22967 8027 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (22756 22756 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (22756 11378 (:REWRITE DEFAULT-*-2))
 (21176 20204 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (20514 20334 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (20249 1084 (:REWRITE SUBSETP-OF-CONS))
 (20020 10156 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (19911 19911 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (19911 19911 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (19911 19911 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (19684 467 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (19418 19418 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (19418 19418 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (17634 1534 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (16974 828 (:REWRITE LEN-OF-NTHCDR))
 (15090 1509 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (13709 1041 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (13550 271 (:REWRITE SUBSETP-APPEND1))
 (13152 2192 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (12791 1041 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (12624 789 (:REWRITE LEN-OF-APPEND))
 (12035 12035 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (11988 114 (:REWRITE REPEAT-WHEN-ZP))
 (11791 2595 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (11378 11378 (:REWRITE DEFAULT-*-1))
 (10563 1509 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (10202 7778 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (10202 7778 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (10027 271 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (9694 9694 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (9479 1264 (:REWRITE SUBSETP-CAR-MEMBER))
 (9054 9054 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (8296 8296 (:REWRITE SUBLISTP-COMPLETE))
 (8251 3186 (:REWRITE DEFAULT-UNARY-MINUS))
 (7884 219 (:REWRITE EQUAL-OF-DIR-STREAM))
 (7468 1246 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (7194 7194 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (7194 7194 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (7046 813 (:REWRITE SUBSETP-CONS-2))
 (5848 731 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (5842 5842 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-22))
 (5331 2199 (:REWRITE NTH-WHEN-PREFIXP))
 (5277 1693 (:REWRITE HIFAT-TAR-NAME-LIST-STRING-REDUCTION-CORRECTNESS-LEMMA-4))
 (4968 4968 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (4598 4598 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4598 4598 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4428 3139 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (4409 3290 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (4106 3130 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (4028 4028 (:REWRITE FOLD-CONSTS-IN-+))
 (3690 3690 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3655 731 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (3597 3597 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (3597 3597 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (3523 542 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (3402 54 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (3094 3094 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (3018 3018 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2192 2192 (:TYPE-PRESCRIPTION ATOM))
 (2154 2154 (:TYPE-PRESCRIPTION D-E-P))
 (2154 2154 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2095 419 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (2021 2021 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (1903 173 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (1897 1897 (:REWRITE SUBSETP-NIL))
 (1730 346 (:LINEAR NTH-WHEN-D-E-P))
 (1509 1509 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1509 1509 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE))
 (1509 1509 (:REWRITE CONSP-OF-STRIP-CARS))
 (1501 1501 (:REWRITE SUBSETP-MEMBER . 1))
 (1462 1462 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (1462 731 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (1462 731 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1434 276 (:REWRITE CONSP-OF-APPEND))
 (1355 813 (:REWRITE SET-EQUIV-OF-NIL))
 (1351 1351 (:REWRITE CONSP-OF-LIST-FIX))
 (1325 1325 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1235 1235 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1235 1235 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (1231 1231 (:REWRITE INTERSECTP-MEMBER . 3))
 (1231 1231 (:REWRITE INTERSECTP-MEMBER . 2))
 (1230 1230 (:REWRITE SUBSETP-MEMBER . 3))
 (1203 1041 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (1000 40 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (902 451 (:REWRITE SET-EQUIV-ASYM))
 (865 173 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (832 16 (:REWRITE NTH-OF-APPEND))
 (828 828 (:TYPE-PRESCRIPTION NATP))
 (828 828 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (828 828 (:LINEAR LISTPOS-COMPLETE))
 (813 813 (:REWRITE SUBSETP-REFL))
 (787 787 (:LINEAR HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-39))
 (731 731 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (731 731 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (731 731 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (731 731 (:REWRITE SET::IN-SET))
 (664 664 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (620 20 (:DEFINITION LAST))
 (451 451 (:TYPE-PRESCRIPTION SET-EQUIV))
 (418 418 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 (362 362 (:REWRITE-QUOTED-CONSTANT FILE-TABLE-FIX-UNDER-FILE-TABLE-EQUIV))
 (362 362 (:REWRITE-QUOTED-CONSTANT FD-TABLE-FIX-UNDER-FD-TABLE-EQUIV))
 (220 220 (:REWRITE-QUOTED-CONSTANT FIX-UNDER-NUMBER-EQUIV))
 (175 175 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (173 173 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (173 173 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (173 173 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (173 173 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (173 173 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (120 4 (:REWRITE NTHCDR-OF-APPEND))
 (109 109 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (34 34 (:REWRITE NTH-0-CONS))
 (8 8 (:REWRITE LIST-EQUIV-OF-CONS-AND-CONS))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40
 (12905 666 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (12901 510 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (12182 57 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (10814 188 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (9993 193 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (9321 91 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (9190 126 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (7711 30 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (7080 69 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (6735 1763 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4740 2998 (:REWRITE DEFAULT-CAR))
 (3457 18 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (3399 193 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-29))
 (2825 1503 (:REWRITE DEFAULT-+-2))
 (2810 17 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (2769 193 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-24))
 (2577 681 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (1956 83 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (1905 112 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (1787 1418 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1714 153 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1545 1503 (:REWRITE DEFAULT-+-1))
 (1500 126 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1418 1418 (:REWRITE SUBSETP-TRANS2))
 (1418 1418 (:REWRITE SUBSETP-TRANS))
 (1361 188 (:REWRITE LEN-WHEN-PREFIXP))
 (1269 68 (:REWRITE SUBSETP-OF-CONS))
 (1107 697 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1066 148 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (1039 539 (:REWRITE DEFAULT-<-2))
 (995 367 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (987 697 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (897 697 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (872 716 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (850 17 (:REWRITE SUBSETP-APPEND1))
 (803 67 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (787 787 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (768 13 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (757 539 (:REWRITE DEFAULT-<-1))
 (738 282 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (734 22 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (717 697 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (710 710 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (710 710 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (678 678 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (678 678 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (678 678 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (678 220 (:REWRITE STR::CONSP-OF-EXPLODE))
 (667 622 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (654 230 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (636 50 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (629 17 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (588 98 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (555 50 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (538 73 (:REWRITE SUBSETP-CAR-MEMBER))
 (498 166 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (465 9 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (453 97 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (442 51 (:REWRITE SUBSETP-CONS-2))
 (428 1 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (408 408 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (355 355 (:LINEAR POSITION-WHEN-MEMBER))
 (330 330 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (280 56 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (252 252 (:TYPE-PRESCRIPTION SUBLISTP))
 (248 31 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (224 28 (:REWRITE CAR-OF-APPEND))
 (221 34 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (216 162 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (216 6 (:REWRITE EQUAL-OF-DIR-STREAM))
 (196 196 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (193 193 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-22))
 (192 112 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (181 181 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (178 178 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (178 178 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (170 33 (:REWRITE CONSP-OF-APPEND))
 (160 88 (:REWRITE NTH-WHEN-PREFIXP))
 (155 31 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (144 144 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (144 144 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (137 137 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (137 137 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (137 137 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (126 126 (:REWRITE SUBLISTP-COMPLETE))
 (121 121 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (121 121 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (119 119 (:REWRITE SUBSETP-NIL))
 (116 116 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (112 7 (:REWRITE LEN-OF-APPEND))
 (105 105 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (102 102 (:LINEAR HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-26))
 (98 98 (:TYPE-PRESCRIPTION ATOM))
 (85 85 (:REWRITE CONSP-OF-LIST-FIX))
 (85 51 (:REWRITE SET-EQUIV-OF-NIL))
 (76 76 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (75 75 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (74 74 (:TYPE-PRESCRIPTION D-E-P))
 (74 74 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (73 73 (:REWRITE SUBSETP-MEMBER . 1))
 (72 72 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-15))
 (72 72 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (72 72 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (66 66 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (65 50 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (63 63 (:REWRITE CONSP-OF-STRIP-CARS))
 (62 62 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (62 31 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (62 31 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (58 1 (:REWRITE WHEN-APPEND-SAME))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (56 14 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (54 54 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (54 54 (:REWRITE INTERSECTP-MEMBER . 3))
 (54 54 (:REWRITE INTERSECTP-MEMBER . 2))
 (54 54 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (53 53 (:REWRITE SUBSETP-MEMBER . 3))
 (50 2 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (46 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (44 22 (:REWRITE SET-EQUIV-ASYM))
 (34 34 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (34 34 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (34 1 (:REWRITE NTH-OF-APPEND))
 (33 3 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (31 31 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (31 31 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (31 31 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (31 31 (:REWRITE SET::IN-SET))
 (31 1 (:DEFINITION LAST))
 (30 6 (:LINEAR NTH-WHEN-D-E-P))
 (30 1 (:REWRITE NFIX-WHEN-ZP))
 (24 24 (:REWRITE FD-TABLE-P-OF-FD-TABLE-FIX))
 (24 3 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (22 22 (:TYPE-PRESCRIPTION SET-EQUIV))
 (22 22 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (20 20 (:LINEAR HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-39))
 (19 19 (:TYPE-PRESCRIPTION NFIX))
 (19 19 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (16 16 (:REWRITE FILE-TABLE-P-OF-FILE-TABLE-FIX))
 (15 15 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 (15 6 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (15 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (14 14 (:TYPE-PRESCRIPTION NATP-OF-CDR-OF-ASSOC-OF-HIFAT-TAR-NAME-LIST-ALIST))
 (14 14 (:REWRITE-QUOTED-CONSTANT FILE-TABLE-FIX-UNDER-FILE-TABLE-EQUIV))
 (14 14 (:REWRITE-QUOTED-CONSTANT FD-TABLE-FIX-UNDER-FD-TABLE-EQUIV))
 (10 10 (:REWRITE TAKE-WHEN-ATOM))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (6 2 (:REWRITE CONSP-OF-ASSOC-EQUAL-OF-APPEND))
 (5 5 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (5 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 4 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (4 4 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (3 3 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (3 3 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION LAST))
 (2 2 (:REWRITE NTH-0-CONS))
 (2 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:TYPE-PRESCRIPTION ATOM-OF-CDR-OF-LAST))
 (1 1 (:REWRITE PREFIXP-REFLEXIVE))
 (1 1 (:REWRITE INVERSE-OF-+))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-1
 (6288 131 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (5301 10 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (3653 110 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3081 68 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2625 254 (:REWRITE DEFAULT-CDR))
 (2558 1 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (2015 30 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1176 119 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1123 119 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (984 984 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (949 110 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (896 110 (:REWRITE LEN-WHEN-PREFIXP))
 (833 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (781 107 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (756 24 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (743 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (673 20 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (585 195 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (585 195 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (528 24 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (446 56 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (390 390 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (390 390 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (363 140 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (342 192 (:REWRITE DEFAULT-<-2))
 (324 26 (:REWRITE NFIX-WHEN-ZP))
 (321 57 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (316 161 (:REWRITE DEFAULT-+-2))
 (306 102 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (303 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (285 192 (:REWRITE DEFAULT-<-1))
 (275 12 (:REWRITE ZP-OPEN))
 (273 119 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (264 264 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (264 48 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (233 57 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (230 30 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (203 10 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (199 199 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (195 195 (:LINEAR POSITION-WHEN-MEMBER))
 (195 195 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (173 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (165 161 (:REWRITE DEFAULT-+-1))
 (165 34 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (163 26 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (162 34 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (140 119 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (136 136 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (133 133 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (123 26 (:REWRITE SUBSETP-TRANS))
 (121 2 (:REWRITE LEN-OF-NTHCDR))
 (115 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (111 111 (:REWRITE DEFAULT-CAR))
 (105 105 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (90 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (87 87 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (87 1 (:DEFINITION NTHCDR))
 (77 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (75 68 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (74 68 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (64 64 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (64 64 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (60 60 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (60 26 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (57 57 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (56 56 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (53 13 (:DEFINITION BINARY-APPEND))
 (49 3 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (48 48 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (48 48 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (48 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (44 11 (:DEFINITION STRIP-CARS))
 (40 5 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (35 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (35 1 (:DEFINITION NATP))
 (34 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (32 26 (:REWRITE SUBSETP-TRANS2))
 (31 31 (:REWRITE SUBLISTP-COMPLETE))
 (30 30 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (28 25 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (28 25 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (26 26 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (26 26 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (25 22 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (25 22 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (25 5 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (25 5 (:REWRITE NTH-WHEN-PREFIXP))
 (24 24 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (24 24 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (24 24 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (24 24 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (22 2 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (20 4 (:LINEAR NTH-WHEN-D-E-P))
 (18 18 (:TYPE-PRESCRIPTION D-E-P))
 (18 18 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (16 1 (:REWRITE LEN-OF-APPEND))
 (14 2 (:DEFINITION NFIX))
 (13 13 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (11 11 (:TYPE-PRESCRIPTION ZP))
 (11 11 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 2))
 (11 8 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (10 10 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10 10 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE))
 (10 10 (:REWRITE CONSP-OF-STRIP-CARS))
 (10 5 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (10 5 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (10 2 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (10 1 (:REWRITE SUBSETP-CONS-2))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (7 7 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (6 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (5 5 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (5 5 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (5 5 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (5 5 (:REWRITE SET::IN-SET))
 (4 4 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (4 4 (:REWRITE CONSP-OF-LIST-FIX))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 3 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (3 3 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (3 3 (:REWRITE SUBSETP-MEMBER . 1))
 (3 3 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (3 1 (:REWRITE SET-EQUIV-OF-NIL))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE SUBSETP-NIL))
 (2 2 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (2 2 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2 2 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (2 2 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (2 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (2 1 (:DEFINITION ATOM))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-2
 (6014 126 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (5301 10 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (3579 107 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3012 66 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (2586 215 (:REWRITE DEFAULT-CDR))
 (2558 1 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (2015 30 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1173 116 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1120 116 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (945 109 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (920 920 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (861 107 (:REWRITE LEN-WHEN-PREFIXP))
 (833 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (607 106 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (537 179 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (537 179 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (358 358 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (358 358 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (312 26 (:REWRITE NFIX-WHEN-ZP))
 (306 102 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (282 94 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (270 116 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (268 137 (:REWRITE DEFAULT-+-2))
 (263 12 (:REWRITE ZP-OPEN))
 (254 147 (:REWRITE DEFAULT-<-2))
 (234 147 (:REWRITE DEFAULT-<-1))
 (197 197 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (197 140 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (179 179 (:LINEAR POSITION-WHEN-MEMBER))
 (179 179 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (173 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (163 26 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (150 5 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (141 137 (:REWRITE DEFAULT-+-1))
 (141 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (137 116 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (136 136 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (121 2 (:REWRITE LEN-OF-NTHCDR))
 (120 5 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (95 15 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (87 87 (:REWRITE DEFAULT-CAR))
 (87 1 (:DEFINITION NTHCDR))
 (72 69 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (70 5 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (49 3 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (40 10 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (39 9 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (35 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (35 1 (:DEFINITION NATP))
 (34 34 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (34 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (33 3 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (32 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (30 30 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (30 10 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (30 10 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (30 10 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (30 6 (:LINEAR NTH-WHEN-D-E-P))
 (30 5 (:DEFINITION ASSOC-EQUAL))
 (30 1 (:REWRITE SUBSETP-OF-CONS))
 (28 28 (:REWRITE SUBLISTP-COMPLETE))
 (25 5 (:REWRITE NTH-WHEN-PREFIXP))
 (23 23 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (23 23 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (20 20 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (20 20 (:TYPE-PRESCRIPTION D-E-P))
 (20 20 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (20 4 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (20 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (18 18 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 18 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (17 17 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (16 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (16 1 (:REWRITE LEN-OF-APPEND))
 (15 15 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (15 5 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (15 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (15 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (14 2 (:DEFINITION NFIX))
 (12 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (10 10 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-P))
 (10 10 (:TYPE-PRESCRIPTION M1-FILE-ALIST-P))
 (10 10 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (10 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (10 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (10 10 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (10 10 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (10 1 (:REWRITE SUBSETP-CONS-2))
 (9 9 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (9 5 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (8 8 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (8 8 (:LINEAR HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-1))
 (8 4 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (8 4 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (7 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (6 6 (:TYPE-PRESCRIPTION NAT-LISTP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (6 6 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE SUBSETP-TRANS2))
 (5 5 (:REWRITE SUBSETP-TRANS))
 (5 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (5 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5 5 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (5 5 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (5 5 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (5 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (5 5 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (5 5 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (5 1 (:DEFINITION BINARY-APPEND))
 (4 4 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE SET::IN-SET))
 (4 4 (:REWRITE CONSP-OF-LIST-FIX))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (3 3 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (3 3 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (3 3 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (3 3 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (3 3 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (3 1 (:REWRITE SET-EQUIV-OF-NIL))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE SUBSETP-NIL))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (2 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (2 1 (:DEFINITION ATOM))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 )
(HIFAT-NO-DUPS-P-OF-REMOVE-ASSOCS-EQUAL
 (42172 2965 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (39423 238 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (35721 504 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (21920 171 (:REWRITE CONSP-OF-REMOVE-ASSOCS-EQUAL))
 (7965 666 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (6838 52 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (6445 401 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (6181 174 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (5362 428 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOCS-EQUAL))
 (3131 144 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-1))
 (2936 1553 (:REWRITE DEFAULT-CDR))
 (2620 6 (:REWRITE SUBSETP-OF-CONS))
 (2444 308 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (2300 252 (:REWRITE SUBSETP-CAR-MEMBER))
 (2104 1189 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1972 1972 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (1705 349 (:REWRITE INTERSECTP-MEMBER . 1))
 (1648 1648 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (1513 289 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (1399 348 (:DEFINITION STRIP-CARS))
 (1340 6 (:REWRITE SUBSETP-CONS-2))
 (1226 1226 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1189 1189 (:REWRITE SUBSETP-TRANS2))
 (1189 1189 (:REWRITE SUBSETP-TRANS))
 (1017 163 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (912 57 (:REWRITE MEMBER-OF-STRIP-CARS))
 (896 77 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (826 92 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (666 666 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (570 570 (:TYPE-PRESCRIPTION STRIP-CARS))
 (543 201 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (466 77 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (414 207 (:REWRITE SET-EQUIV-ASYM))
 (398 73 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (349 349 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (348 348 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (348 348 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (348 348 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (348 348 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (348 348 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (348 348 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (348 348 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (348 348 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (348 348 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (348 348 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (298 196 (:REWRITE MEMBER-WHEN-ATOM))
 (285 285 (:REWRITE CONSP-OF-STRIP-CARS))
 (225 77 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (207 207 (:TYPE-PRESCRIPTION SET-EQUIV))
 (207 207 (:REWRITE SUBSETP-OF-CDR))
 (205 14 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-2))
 (196 196 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (196 196 (:REWRITE INTERSECTP-MEMBER . 3))
 (196 196 (:REWRITE INTERSECTP-MEMBER . 2))
 (196 196 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (171 171 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (171 171 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (171 171 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (171 171 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (170 116 (:REWRITE SUBSETP-MEMBER . 1))
 (154 154 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (146 146 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (146 146 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (146 146 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (109 109 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (57 57 (:TYPE-PRESCRIPTION NULL))
 (57 57 (:DEFINITION NULL))
 (52 52 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (33 3 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (33 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (30 5 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (21 3 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (9 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (6 6 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (3 3 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-3
 (12442 1399 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (11732 249 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (7138 147 (:REWRITE CONSP-OF-REMOVE-ASSOCS-EQUAL))
 (6833 138 (:REWRITE SUBSETP-CAR-MEMBER))
 (3230 280 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (3114 1694 (:REWRITE DEFAULT-CAR))
 (3026 125 (:REWRITE MEMBER-OF-STRIP-CARS))
 (2143 1232 (:REWRITE DEFAULT-CDR))
 (2047 96 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1940 277 (:DEFINITION ASSOC-EQUAL))
 (1774 1774 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1657 28 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (1437 783 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1371 783 (:REWRITE SUBSETP-TRANS))
 (1293 431 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (1249 324 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (1176 162 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (1152 612 (:REWRITE DEFAULT-+-2))
 (949 96 (:REWRITE INTERSECTP-MEMBER . 1))
 (927 133 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-1))
 (918 612 (:REWRITE DEFAULT-+-1))
 (880 217 (:DEFINITION STRIP-CARS))
 (832 783 (:REWRITE SUBSETP-TRANS2))
 (807 75 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (593 8 (:REWRITE SUBSETP-CONS-2))
 (490 490 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (468 156 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (445 105 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (420 420 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (390 78 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (390 78 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (335 90 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (334 206 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (292 8 (:REWRITE SUBSETP-OF-CONS))
 (277 277 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (276 276 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (248 248 (:REWRITE CONSP-OF-STRIP-CARS))
 (226 226 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (217 63 (:REWRITE HIFAT-NO-DUPS-P-OF-REMOVE-ASSOCS-EQUAL))
 (198 198 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (198 198 (:REWRITE INTERSECTP-MEMBER . 3))
 (198 198 (:REWRITE INTERSECTP-MEMBER . 2))
 (198 198 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (156 156 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (156 156 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (153 153 (:REWRITE FOLD-CONSTS-IN-+))
 (149 149 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (149 149 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (149 149 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (149 149 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (143 18 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (125 125 (:TYPE-PRESCRIPTION NULL))
 (125 125 (:DEFINITION NULL))
 (95 95 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (93 93 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (86 3 (:REWRITE MEMBER-OF-CONS))
 (79 16 (:REWRITE REMOVE-WHEN-ABSENT))
 (74 74 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (52 3 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (47 2 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (30 8 (:REWRITE DEFAULT-<-1))
 (22 8 (:REWRITE DEFAULT-<-2))
 (18 9 (:REWRITE SET-EQUIV-ASYM))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (12 6 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (12 6 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (12 6 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (10 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (9 9 (:TYPE-PRESCRIPTION SET-EQUIV))
 (8 8 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (8 8 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (7 1 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (6 2 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 1))
 (6 2 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3 3 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (2 2 (:REWRITE MEMBER-OF-CAR))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1 1 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (1 1 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-4
 (55814 5560 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (51597 1216 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (18061 453 (:REWRITE SUBSETP-CAR-MEMBER))
 (12341 7114 (:REWRITE DEFAULT-CAR))
 (11522 175 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (10179 867 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (8415 5034 (:REWRITE DEFAULT-CDR))
 (7692 358 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7440 7440 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (6511 506 (:REWRITE INTERSECTP-MEMBER . 1))
 (5626 3073 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (5448 1478 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (5251 1769 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (4842 656 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (4773 2552 (:REWRITE DEFAULT-+-2))
 (4221 3069 (:REWRITE SUBSETP-TRANS))
 (3972 985 (:DEFINITION STRIP-CARS))
 (3816 2552 (:REWRITE DEFAULT-+-1))
 (3747 28 (:REWRITE SUBSETP-CONS-2))
 (3738 435 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (3630 634 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-1))
 (3387 1542 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (3213 316 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (3165 3069 (:REWRITE SUBSETP-TRANS2))
 (1976 1976 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1932 644 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1662 1662 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1610 322 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1610 322 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1585 24 (:REWRITE MEMBER-OF-CONS))
 (1583 28 (:REWRITE SUBSETP-OF-CONS))
 (1321 553 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (1245 314 (:REWRITE HIFAT-FILE-ALIST-FIX-GUARD-LEMMA-1))
 (1135 1135 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (965 965 (:REWRITE CONSP-OF-STRIP-CARS))
 (811 811 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (811 811 (:REWRITE INTERSECTP-MEMBER . 3))
 (811 811 (:REWRITE INTERSECTP-MEMBER . 2))
 (811 811 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (745 745 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (742 742 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (724 225 (:REWRITE HIFAT-NO-DUPS-P-OF-REMOVE-ASSOCS-EQUAL))
 (656 656 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (656 656 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (656 656 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (656 656 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (644 644 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (644 644 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (638 638 (:REWRITE FOLD-CONSTS-IN-+))
 (485 485 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (479 479 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (479 479 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (479 479 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (479 479 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (479 479 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (479 479 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (479 479 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (479 479 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (479 479 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (479 479 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (454 227 (:REWRITE SET-EQUIV-ASYM))
 (426 426 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (371 371 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (316 316 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (286 36 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (227 227 (:TYPE-PRESCRIPTION SET-EQUIV))
 (104 6 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (96 96 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (90 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (68 68 (:REWRITE REMOVE-WHEN-ABSENT))
 (67 15 (:REWRITE DEFAULT-<-2))
 (48 48 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (48 48 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (37 15 (:REWRITE DEFAULT-<-1))
 (24 12 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (24 12 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (24 12 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (24 8 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 1))
 (18 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (14 14 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (14 2 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (12 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (6 6 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (4 4 (:REWRITE SUBSETP-OF-REMOVE))
 (2 2 (:REWRITE MEMBER-OF-CAR))
 (2 2 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-5
 (464 2 (:REWRITE REMOVE-ASSOCS-EQUAL-WHEN-ATOM))
 (418 10 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (375 2 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$-2))
 (195 37 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (95 1 (:REWRITE SUBSETP-OF-REMOVE1))
 (84 30 (:REWRITE SUBSETP-TRANS))
 (69 23 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (54 2 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (53 32 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (53 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (51 30 (:REWRITE SUBSETP-TRANS2))
 (50 10 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (30 12 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (11 5 (:REWRITE MEMBER-WHEN-ATOM))
 (11 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (10 10 (:TYPE-PRESCRIPTION STRIP-CARS))
 (10 10 (:REWRITE INTERSECTP-MEMBER . 1))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (10 10 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (10 10 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (8 2 (:REWRITE NOT-INTERSECTP-OF-SET-DIFFERENCE$-WHEN-SUBSETP-1 . 1))
 (8 2 (:DEFINITION STRIP-CARS))
 (7 7 (:REWRITE DEFAULT-CAR))
 (7 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (6 2 (:REWRITE HIFAT-NO-DUPS-P-OF-REMOVE-ASSOCS-EQUAL))
 (6 1 (:DEFINITION ASSOC-EQUAL))
 (5 5 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 3))
 (5 5 (:REWRITE INTERSECTP-MEMBER . 2))
 (5 5 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (5 5 (:REWRITE CONSP-OF-STRIP-CARS))
 (4 2 (:REWRITE MEMBER-OF-STRIP-CARS))
 (3 3 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (3 3 (:REWRITE DEFAULT-CDR))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (2 1 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION NULL))
 (1 1 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:REWRITE SET-DIFFERENCE$-OF-REMOVE-WHEN-MEMBER-1))
 (1 1 (:REWRITE REMOVE-WHEN-ABSENT))
 (1 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:DEFINITION NULL))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-6
 (16 3 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (5 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (3 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-7
 (7862 138 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (4963 644 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3076 172 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (2903 964 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2823 439 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (2286 93 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (2196 226 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1971 145 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (1804 1804 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1515 137 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1310 1310 (:REWRITE DEFAULT-CAR))
 (1251 135 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (1170 664 (:REWRITE DEFAULT-+-2))
 (959 105 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (926 664 (:REWRITE DEFAULT-+-1))
 (848 286 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (822 822 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (755 151 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (755 151 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (657 177 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (501 501 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (501 501 (:REWRITE SUBSETP-TRANS2))
 (501 501 (:REWRITE SUBSETP-TRANS))
 (440 440 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (411 137 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (365 15 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (360 72 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (335 168 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (334 116 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (302 302 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (302 302 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (256 256 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (218 218 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (189 189 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (181 181 (:REWRITE FOLD-CONSTS-IN-+))
 (177 177 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (171 38 (:REWRITE DEFAULT-<-2))
 (141 141 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (136 136 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (100 26 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (96 95 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (95 19 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-2))
 (94 94 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (90 15 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (86 86 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (77 11 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (68 38 (:REWRITE DEFAULT-<-1))
 (66 11 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (63 63 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (60 10 (:REWRITE DIR-STREAM-TABLE-P-OF-CDR-WHEN-DIR-STREAM-TABLE-P))
 (40 40 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (30 30 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (30 30 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (20 20 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (15 15 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (15 15 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (15 15 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-FIX-UNDER-DIR-STREAM-EQUIV))
 (4 2 (:REWRITE SET-EQUIV-OF-NIL))
 (2 2 (:REWRITE SUBSETP-NIL))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-11
 (1274 38 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (1024 82 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (784 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-13))
 (668 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (267 15 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (257 13 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (234 117 (:REWRITE DEFAULT-+-2))
 (224 224 (:REWRITE DEFAULT-CDR))
 (222 6 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (202 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (166 13 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (162 162 (:REWRITE DEFAULT-CAR))
 (139 38 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (129 24 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (117 117 (:REWRITE DEFAULT-+-1))
 (115 62 (:REWRITE DEFAULT-<-2))
 (84 84 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (84 84 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (75 10 (:DEFINITION MEMBER-EQUAL))
 (73 73 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (73 73 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (73 73 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (73 73 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (72 24 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (68 62 (:REWRITE DEFAULT-<-1))
 (65 13 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (63 9 (:DEFINITION ASSOC-EQUAL))
 (56 4 (:REWRITE ZP-OPEN))
 (48 48 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (47 47 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (42 42 (:LINEAR POSITION-WHEN-MEMBER))
 (36 36 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (36 36 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (36 18 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (33 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-21))
 (33 3 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (32 32 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (30 30 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (30 6 (:LINEAR NTH-WHEN-D-E-P))
 (26 26 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (26 26 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (26 6 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (24 24 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (20 20 (:REWRITE SUBSETP-MEMBER . 1))
 (18 18 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 2))
 (18 18 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (18 18 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (18 18 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (18 18 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (16 6 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-29))
 (16 6 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-24))
 (15 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (13 13 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (12 12 (:TYPE-PRESCRIPTION D-E-P))
 (12 12 (:REWRITE NTH-WHEN-PREFIXP))
 (12 12 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (9 9 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (8 8 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (7 7 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (6 6 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-22))
 (4 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (3 3 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (1 1 (:REWRITE-QUOTED-CONSTANT BOOLEAN-LIST-FIX-UNDER-BOOLEAN-LIST-EQUIV))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-13
 (3015 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (2082 266 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (1509 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (979 50 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (957 5 (:LINEAR NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-11))
 (671 177 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (661 645 (:REWRITE DEFAULT-CAR))
 (624 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (574 574 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (551 52 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (543 532 (:REWRITE DEFAULT-CDR))
 (528 528 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (506 33 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (325 16 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (304 101 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (278 78 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (278 10 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (230 46 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (216 27 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (178 42 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (177 177 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (135 27 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (104 104 (:REWRITE SUBSETP-MEMBER . 1))
 (96 96 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (96 96 (:REWRITE SUBSETP-TRANS2))
 (96 96 (:REWRITE SUBSETP-TRANS))
 (78 78 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (72 12 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (59 11 (:DEFINITION LEN))
 (54 54 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (54 54 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (46 46 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (44 44 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (36 36 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (32 16 (:REWRITE DEFAULT-<-2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (24 12 (:REWRITE DEFAULT-+-2))
 (20 20 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (18 18 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (17 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16 16 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (16 16 (:REWRITE DEFAULT-<-1))
 (16 16 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (15 15 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (14 14 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (12 12 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (12 12 (:REWRITE DEFAULT-+-1))
 (12 12 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (12 4 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (11 1 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (10 10 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (10 10 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (10 2 (:LINEAR NTH-WHEN-D-E-P))
 (9 3 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (8 1 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (7 7 (:REWRITE NTH-WHEN-PREFIXP))
 (6 6 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (5 5 (:REWRITE-QUOTED-CONSTANT FILE-TABLE-FIX-UNDER-FILE-TABLE-EQUIV))
 (5 5 (:REWRITE-QUOTED-CONSTANT FD-TABLE-FIX-UNDER-FD-TABLE-EQUIV))
 (5 1 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4 2 (:REWRITE SET-EQUIV-OF-NIL))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (3 1 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (2 2 (:REWRITE SUBSETP-NIL))
 (2 2 (:DEFINITION ATOM))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1 1 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-14
 (15294 31 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (13000 2046 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (12108 2548 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (9001 446 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (7160 77 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (6391 60 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$-2))
 (5229 5158 (:REWRITE DEFAULT-CAR))
 (5229 62 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (4876 412 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4585 366 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (4552 20 (:LINEAR HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-5))
 (4169 38 (:REWRITE REMOVE-ASSOCS-EQUAL-WHEN-ATOM))
 (3996 3996 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (3600 340 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (3473 393 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (3153 497 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (3029 56 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (2909 28 (:REWRITE CONSP-OF-REMOVE-ASSOCS-EQUAL))
 (2745 1968 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2700 724 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2595 1003 (:REWRITE SUBSETP-MEMBER . 1))
 (2585 59 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (2268 140 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2216 52 (:REWRITE SUBSETP-OF-REMOVE1))
 (2095 16 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-21))
 (1899 1862 (:REWRITE SUBSETP-TRANS))
 (1868 1862 (:REWRITE SUBSETP-TRANS2))
 (1863 349 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (1761 258 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1745 14 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (1691 214 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1382 56 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1199 208 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1106 276 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (1058 214 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (987 24 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (788 788 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (784 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (661 14 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-30))
 (607 337 (:REWRITE DEFAULT-<-2))
 (568 308 (:REWRITE INTERSECTP-MEMBER . 1))
 (531 177 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (531 177 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (498 58 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (477 477 (:TYPE-PRESCRIPTION M1-FILE-P))
 (472 118 (:DEFINITION STRIP-CARS))
 (471 260 (:REWRITE DEFAULT-+-2))
 (456 456 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (448 408 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (446 446 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (422 422 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (422 422 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (421 19 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (416 16 (:REWRITE MEMBER-EQUAL-NTH))
 (380 59 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (366 366 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (364 364 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (360 337 (:REWRITE DEFAULT-<-1))
 (354 354 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (354 354 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (352 352 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (349 208 (:REWRITE MEMBER-WHEN-ATOM))
 (340 340 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (302 302 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (297 277 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (282 31 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (277 277 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (277 277 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (277 277 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (277 277 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (276 276 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (276 276 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (276 276 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (276 276 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (260 260 (:REWRITE DEFAULT-+-1))
 (226 123 (:REWRITE SET-EQUIV-ASYM))
 (214 214 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (214 214 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (214 214 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (208 208 (:REWRITE INTERSECTP-MEMBER . 3))
 (208 208 (:REWRITE INTERSECTP-MEMBER . 2))
 (201 201 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (200 187 (:REWRITE SUBSETP-MEMBER . 3))
 (189 189 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (187 17 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (182 26 (:REWRITE NOT-INTERSECTP-OF-SET-DIFFERENCE$-WHEN-SUBSETP-1 . 1))
 (179 179 (:REWRITE CONSP-OF-STRIP-CARS))
 (177 177 (:LINEAR POSITION-WHEN-MEMBER))
 (177 177 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (170 34 (:LINEAR NTH-WHEN-D-E-P))
 (146 104 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (144 144 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (132 30 (:REWRITE SET-DIFFERENCE$-OF-REMOVE-WHEN-MEMBER-1))
 (128 48 (:REWRITE ZP-OPEN))
 (125 125 (:TYPE-PRESCRIPTION SET-EQUIV))
 (120 40 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (119 119 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (119 119 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (119 119 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (119 119 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (105 21 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (92 46 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (88 88 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (85 17 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (78 26 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 2))
 (78 26 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 1))
 (77 77 (:REWRITE SUBSETP-OF-CDR))
 (77 77 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (77 5 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (74 74 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (72 72 (:TYPE-PRESCRIPTION D-E-P))
 (72 72 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (65 65 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (65 34 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (63 21 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (62 62 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (61 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-<<-SORT-WHEN-FAT32-FILENAME-LIST-P))
 (58 58 (:REWRITE NTH-WHEN-PREFIXP))
 (56 56 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (51 51 (:TYPE-PRESCRIPTION <<-SORT-TRUE-LISTP))
 (50 50 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (48 48 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (48 16 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (45 45 (:REWRITE SUBSETP-OF-REMOVE))
 (30 30 (:REWRITE-QUOTED-CONSTANT FILE-TABLE-FIX-UNDER-FILE-TABLE-EQUIV))
 (30 30 (:REWRITE-QUOTED-CONSTANT FD-TABLE-FIX-UNDER-FD-TABLE-EQUIV))
 (29 29 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (26 26 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (21 21 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-13))
 (18 6 (:REWRITE SET-EQUIV-OF-NIL))
 (18 3 (:REWRITE LEN-OF-STRIP-CARS))
 (17 17 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (17 17 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (17 17 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (17 17 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (17 17 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (16 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (14 5 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (13 13 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-FIX-UNDER-DIR-STREAM-EQUIV))
 (13 13 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (10 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (8 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (6 6 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (4 4 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (4 4 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (4 4 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (4 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (4 2 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (4 2 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2 2 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE LIST-FIX-UNDER-LIST-EQUIV))
 (2 2 (:REWRITE SET::IN-SET))
 (2 2 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE))
 (1 1 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$))
 (1 1 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 2))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-15
 (41173 2392 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (38244 267 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (11393 209 (:REWRITE CONSP-OF-REMOVE-ASSOCS-EQUAL))
 (8274 934 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (8036 398 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (5342 1886 (:REWRITE DEFAULT-CDR))
 (4462 246 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3919 2767 (:REWRITE DEFAULT-CAR))
 (3062 246 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (2990 46 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (2585 902 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2564 464 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (2538 232 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (2330 466 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2262 2262 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2179 721 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2151 717 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1821 93 (:REWRITE INTERSECTP-MEMBER . 1))
 (1619 4 (:REWRITE SUBSETP-CONS-2))
 (1560 260 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (1282 232 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1142 165 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-1))
 (1076 996 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1034 257 (:DEFINITION STRIP-CARS))
 (932 932 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (932 932 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (922 38 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (902 902 (:REWRITE SUBSETP-TRANS2))
 (902 902 (:REWRITE SUBSETP-TRANS))
 (872 156 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (770 721 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (734 4 (:REWRITE SUBSETP-OF-CONS))
 (598 32 (:REWRITE MEMBER-OF-STRIP-CARS))
 (534 470 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (520 520 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (499 17 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (389 389 (:TYPE-PRESCRIPTION STRIP-CARS))
 (209 209 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (209 209 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (209 209 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (209 209 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (202 34 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (194 194 (:REWRITE CONSP-OF-STRIP-CARS))
 (121 121 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (121 121 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (120 120 (:REWRITE MEMBER-WHEN-ATOM))
 (120 120 (:REWRITE INTERSECTP-MEMBER . 3))
 (120 120 (:REWRITE INTERSECTP-MEMBER . 2))
 (117 117 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (99 99 (:REWRITE SUBSETP-OF-CDR))
 (98 34 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (92 92 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (92 46 (:REWRITE SET-EQUIV-ASYM))
 (91 91 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (91 91 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (91 91 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (91 91 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (91 91 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (91 91 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (91 91 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (91 91 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (91 91 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (91 91 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (46 46 (:TYPE-PRESCRIPTION SET-EQUIV))
 (32 32 (:TYPE-PRESCRIPTION NULL))
 (32 32 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (32 32 (:DEFINITION NULL))
 (17 17 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2 1 (:REWRITE MEMBER-OF-CONS))
 (2 1 (:REWRITE DEFAULT-<-2))
 (2 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE MEMBER-OF-CAR))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-16
 (1743 229 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (1237 151 (:DEFINITION ASSOC-EQUAL))
 (731 10 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (594 120 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (567 79 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (560 32 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (552 2 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (527 5 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$-2))
 (521 521 (:REWRITE DEFAULT-CAR))
 (521 17 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (480 480 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (477 477 (:REWRITE DEFAULT-CDR))
 (477 8 (:REWRITE REMOVE-ASSOCS-EQUAL-WHEN-ATOM))
 (471 19 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (452 452 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (430 24 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (419 25 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (388 16 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (381 56 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (340 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (336 336 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (311 18 (:REWRITE SUBSETP-CAR-MEMBER))
 (264 264 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (246 246 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (246 54 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (207 207 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (200 1 (:LINEAR HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-5))
 (192 48 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (177 61 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (150 99 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (144 24 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (142 30 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (142 30 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (127 31 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (122 30 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (120 5 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (105 17 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (96 96 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (96 26 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (91 91 (:REWRITE SUBSETP-TRANS2))
 (91 91 (:REWRITE SUBSETP-TRANS))
 (85 7 (:REWRITE REMOVE-WHEN-ABSENT))
 (79 11 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (72 72 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (72 72 (:REWRITE-QUOTED-CONSTANT D-E-FIX-UNDER-D-E-EQUIV))
 (71 71 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (56 56 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (56 56 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (53 53 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (47 10 (:REWRITE SUBSETP-MEMBER . 1))
 (40 10 (:DEFINITION STRIP-CARS))
 (38 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-5))
 (34 34 (:TYPE-PRESCRIPTION M1-FILE-P))
 (31 31 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (31 7 (:REWRITE SET-DIFFERENCE$-OF-REMOVE-WHEN-MEMBER-1))
 (28 28 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (25 25 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (25 25 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (25 25 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (25 13 (:REWRITE MEMBER-WHEN-ATOM))
 (24 24 (:TYPE-PRESCRIPTION STRIP-CARS))
 (24 24 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (24 24 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (21 3 (:REWRITE NOT-INTERSECTP-OF-SET-DIFFERENCE$-WHEN-SUBSETP-1 . 1))
 (19 19 (:REWRITE INTERSECTP-MEMBER . 1))
 (19 19 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (19 1 (:REWRITE SUBSETP-OF-REMOVE1))
 (17 17 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (17 17 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (17 17 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (17 17 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (17 17 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (16 16 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (16 16 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (16 8 (:REWRITE SET-EQUIV-ASYM))
 (15 15 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (14 14 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 3))
 (14 14 (:REWRITE INTERSECTP-MEMBER . 2))
 (14 14 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (12 12 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (12 12 (:REWRITE CONSP-OF-STRIP-CARS))
 (12 6 (:REWRITE MEMBER-OF-STRIP-CARS))
 (10 10 (:TYPE-PRESCRIPTION SET-EQUIV))
 (7 7 (:REWRITE SUBSETP-MEMBER . 3))
 (6 2 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE SUBSETP-OF-CDR))
 (5 5 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (5 3 (:REWRITE DEFAULT-<-2))
 (5 3 (:REWRITE DEFAULT-<-1))
 (3 3 (:TYPE-PRESCRIPTION NULL))
 (3 3 (:REWRITE SUBSETP-OF-REMOVE))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (3 3 (:DEFINITION NULL))
 (2 2 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (2 2 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (1 1 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (1 1 (:REWRITE SUBSETP-REFL))
 (1 1 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (1 1 (:REWRITE MEMBER-OF-CAR))
 (1 1 (:REWRITE DEFAULT-+-2))
 (1 1 (:REWRITE DEFAULT-+-1))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (1 1 (:LINEAR HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-14))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-17
 (102220 4766 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (87342 19910 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (85708 3760 (:REWRITE SUBSETP-CAR-MEMBER))
 (75742 694 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (52919 1021 (:REWRITE SUBSETP-APPEND1))
 (48942 7044 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (31220 1107 (:REWRITE SUBSETP-OF-CONS))
 (30858 653 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (23411 15600 (:REWRITE DEFAULT-CDR))
 (20490 436 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (16007 15253 (:REWRITE DEFAULT-CAR))
 (15538 256 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (13920 13920 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (13383 17 (:LINEAR NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-11))
 (11993 1053 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (11257 10185 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (10863 518 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (10754 10178 (:REWRITE SUBSETP-TRANS2))
 (10226 10178 (:REWRITE SUBSETP-TRANS))
 (10130 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-12))
 (10053 325 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (9909 1724 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (9680 412 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (9647 622 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (9490 871 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (8890 1107 (:REWRITE SUBSETP-CONS-2))
 (8771 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (6876 12 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (6251 1291 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (6188 12 (:REWRITE TAKE-OF-LEN-FREE))
 (5559 1656 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (4983 4983 (:REWRITE SUBSETP-MEMBER . 1))
 (4939 2619 (:REWRITE DEFAULT-+-2))
 (4751 441 (:REWRITE MEMBER-OF-APPEND))
 (4700 246 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (4092 280 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (4016 4016 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3964 325 (:REWRITE LEN-WHEN-PREFIXP))
 (3710 806 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (3163 56 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3040 3040 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (3017 223 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (2763 309 (:REWRITE NFIX-WHEN-ZP))
 (2685 2619 (:REWRITE DEFAULT-+-1))
 (2512 2512 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (2480 121 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (2398 125 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (2387 590 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2252 2252 (:REWRITE SUBSETP-NIL))
 (1995 215 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1968 1205 (:REWRITE DEFAULT-<-2))
 (1953 1953 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1896 632 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1896 632 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1710 1710 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (1697 130 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1686 13 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (1635 441 (:REWRITE MEMBER-OF-CONS))
 (1627 1205 (:REWRITE DEFAULT-<-1))
 (1600 1600 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (1452 1452 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1452 1452 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1265 1145 (:REWRITE SET-EQUIV-OF-NIL))
 (1264 1264 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (1248 288 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (1063 33 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (963 215 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (959 686 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (952 94 (:DEFINITION STRIP-CARS))
 (883 862 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (809 72 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-5))
 (768 256 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (755 755 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (686 678 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (665 665 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (656 590 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (646 646 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (646 646 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (633 13 (:REWRITE THEN-SUBSEQ-SAME-2))
 (632 632 (:LINEAR POSITION-WHEN-MEMBER))
 (632 632 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (630 630 (:REWRITE CONSP-OF-LIST-FIX))
 (609 609 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (601 590 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (599 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-2))
 (596 590 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (581 61 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (506 506 (:TYPE-PRESCRIPTION D-E-P))
 (506 506 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (471 471 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (466 436 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (456 4 (:REWRITE NAT-LISTP-OF-BINARY-APPEND))
 (446 121 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (434 109 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (424 424 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (382 28 (:DEFINITION NATP))
 (374 374 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (374 187 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (374 187 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (334 47 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (333 9 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-29))
 (330 66 (:LINEAR NTH-WHEN-D-E-P))
 (273 273 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (268 12 (:DEFINITION LENGTH))
 (256 4 (:REWRITE NAT-LISTP-OF-CONS))
 (246 246 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (246 246 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (233 233 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (232 232 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (224 32 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (224 32 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (223 223 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (216 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-APPEND))
 (215 215 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (199 199 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (196 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (195 195 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (193 193 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (187 187 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (187 187 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (187 187 (:REWRITE SET::IN-SET))
 (175 175 (:REWRITE SUBLISTP-COMPLETE))
 (174 174 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (174 174 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (153 18 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (152 4 (:DEFINITION INTEGER-LISTP))
 (150 148 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (149 149 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (148 148 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (142 36 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (136 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (130 130 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (130 130 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (115 115 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 2))
 (108 9 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-24))
 (107 9 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-22))
 (90 42 (:REWRITE NTH-WHEN-PREFIXP))
 (90 30 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (89 81 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (88 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (85 85 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (81 18 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (69 61 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (65 65 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (65 65 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (61 61 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (61 61 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (56 1 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (52 52 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (52 26 (:REWRITE DEFAULT-*-2))
 (50 50 (:REWRITE SUBSETP-OF-CDR))
 (48 48 (:TYPE-PRESCRIPTION TRUE-LISTP-TAKE))
 (48 16 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (44 12 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (44 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (44 4 (:REWRITE NAT-LISTP-OF-LIST-FIX))
 (44 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (40 12 (:REWRITE CAR-OF-APPEND))
 (36 12 (:REWRITE TAKE-OF-TOO-MANY))
 (35 35 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (32 32 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (26 26 (:REWRITE DEFAULT-*-1))
 (24 24 (:TYPE-PRESCRIPTION NATP))
 (24 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-TRUE-LIST-FIX))
 (24 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-LIST-FIX))
 (24 4 (:REWRITE NAT-LISTP-OF-APPEND-WEAK))
 (20 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (17 17 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (14 14 (:TYPE-PRESCRIPTION LENGTH))
 (12 12 (:REWRITE TAKE-WHEN-ATOM))
 (9 9 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-34))
 (9 9 (:REWRITE CONSP-OF-STRIP-CARS))
 (8 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (8 4 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (7 7 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (7 7 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (5 5 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (5 5 (:LINEAR LISTPOS-COMPLETE))
 (4 4 (:REWRITE NAT-LISTP-WHEN-SUBSETP))
 (4 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-18
 (28334 366 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (27878 71 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (26089 207 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (24766 35 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (23711 339 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (20901 316 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (19118 257 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (16504 90 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (14657 5837 (:REWRITE DEFAULT-CDR))
 (13257 1825 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (9015 366 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (8510 2364 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (7446 842 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6944 73 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (6657 366 (:REWRITE LEN-WHEN-PREFIXP))
 (5765 471 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (4547 4373 (:REWRITE DEFAULT-CAR))
 (4179 316 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (4055 183 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (3885 179 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (3648 3648 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (3382 1928 (:REWRITE DEFAULT-+-2))
 (3130 660 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (3083 496 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (3076 3076 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2837 1931 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2801 167 (:REWRITE NFIX-WHEN-ZP))
 (2732 165 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (2675 316 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2523 316 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (2244 124 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2129 202 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2115 364 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (2053 49 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1935 1928 (:REWRITE DEFAULT-+-1))
 (1915 1915 (:REWRITE SUBSETP-TRANS2))
 (1915 1915 (:REWRITE SUBSETP-TRANS))
 (1870 73 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (1802 1802 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1725 575 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1725 575 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1716 465 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (1673 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (1488 100 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1388 80 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (1325 179 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1196 1196 (:REWRITE SUBSETP-MEMBER . 1))
 (1195 119 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (1192 402 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1165 75 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1164 388 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1159 23 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1150 1150 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (1147 660 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1140 697 (:REWRITE DEFAULT-<-2))
 (1085 697 (:REWRITE DEFAULT-<-1))
 (985 197 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (810 16 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (728 316 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (671 671 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (660 660 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (575 575 (:LINEAR POSITION-WHEN-MEMBER))
 (575 575 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (573 66 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (494 26 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-5))
 (485 35 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (465 465 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (465 15 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (435 309 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (430 430 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (407 407 (:TYPE-PRESCRIPTION SUBLISTP))
 (394 394 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (394 394 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (330 66 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (326 263 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (301 301 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (271 271 (:REWRITE CONSP-OF-LIST-FIX))
 (265 5 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (265 2 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (257 257 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (248 248 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (238 58 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (235 28 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (235 10 (:REWRITE STR::CONSP-OF-EXPLODE))
 (183 183 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (183 183 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (179 179 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (179 179 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (172 172 (:TYPE-PRESCRIPTION D-E-P))
 (172 172 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (162 162 (:REWRITE SUBSETP-OF-CDR))
 (132 132 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (132 66 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (132 66 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (128 1 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (123 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (116 116 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (110 10 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (107 107 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (100 78 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (100 20 (:LINEAR NTH-WHEN-D-E-P))
 (82 82 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (80 78 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (72 72 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (72 72 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (71 71 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (71 71 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (71 71 (:REWRITE SUBLISTP-COMPLETE))
 (66 66 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (66 66 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (66 66 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (66 66 (:REWRITE SET::IN-SET))
 (64 2 (:REWRITE LEN-OF-NTHCDR))
 (51 51 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (50 10 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (35 35 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (35 35 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (32 16 (:REWRITE NTH-WHEN-PREFIXP))
 (29 29 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (25 25 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (16 16 (:REWRITE SUBSETP-OF-NTHCDR))
 (15 15 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (10 10 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (10 10 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (10 10 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (10 10 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (10 10 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (8 8 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 2))
 (8 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (6 6 (:REWRITE HIFAT-NO-DUPS-P-OF-HIFAT-FILE-ALIST-FIX))
 (6 2 (:DEFINITION NATP))
 (4 4 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (4 2 (:REWRITE DEFAULT-UNARY-MINUS))
 (4 2 (:REWRITE DEFAULT-*-2))
 (2 2 (:TYPE-PRESCRIPTION NATP))
 (2 2 (:REWRITE DEFAULT-*-1))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 (1 1 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-19
 (13794 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (7414 236 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (6638 31 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (6017 474 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (4218 293 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3441 100 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (3304 236 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (3092 106 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (2854 954 (:REWRITE DEFAULT-CDR))
 (2603 120 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (2553 62 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2513 293 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2278 686 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (2134 316 (:DEFINITION ASSOC-EQUAL))
 (2084 8 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (2005 79 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (1819 601 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1652 236 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1170 171 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1050 1050 (:REWRITE DEFAULT-CAR))
 (948 948 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (772 772 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (686 686 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (666 34 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (579 579 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (520 520 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (507 73 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (484 60 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (394 394 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (358 124 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (321 73 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (303 303 (:TYPE-PRESCRIPTION M1-FILE-P))
 (280 40 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (276 276 (:REWRITE HIFAT-NO-DUPS-P-OF-HIFAT-FILE-ALIST-FIX))
 (272 272 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (260 260 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (238 238 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (238 238 (:REWRITE SUBSETP-TRANS2))
 (238 238 (:REWRITE SUBSETP-TRANS))
 (170 170 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (155 7 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (150 150 (:REWRITE SUBSETP-MEMBER . 1))
 (144 24 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (132 6 (:REWRITE HIFAT-CLUSTER-COUNT-OF-HIFAT-PLACE-FILE-LEMMA-2))
 (124 124 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (124 124 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (120 40 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (117 117 (:REWRITE SUBSETP-OF-CDR))
 (100 100 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (100 100 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (91 91 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (87 87 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (81 81 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (77 7 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (70 14 (:LINEAR NTH-WHEN-D-E-P))
 (68 13 (:DEFINITION LEN))
 (58 58 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (57 57 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (53 53 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (46 46 (:REWRITE FAT32-FILENAME-P-OF-BASENAME))
 (40 20 (:REWRITE DEFAULT-<-2))
 (36 18 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (35 7 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (31 31 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (31 31 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (30 10 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (28 28 (:TYPE-PRESCRIPTION D-E-P))
 (28 28 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (27 27 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (27 9 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (26 13 (:REWRITE DEFAULT-+-2))
 (20 20 (:REWRITE DEFAULT-<-1))
 (20 20 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (19 19 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (18 18 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (16 16 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (15 5 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (13 13 (:REWRITE DEFAULT-+-1))
 (10 10 (:LINEAR POSITION-WHEN-MEMBER))
 (10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (8 8 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (7 7 (:REWRITE NTH-WHEN-PREFIXP))
 (7 7 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (7 7 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (7 7 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (7 7 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (7 7 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (4 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (4 2 (:REWRITE SET-EQUIV-OF-NIL))
 (2 2 (:REWRITE SUBSETP-NIL))
 (2 2 (:DEFINITION ATOM))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-20
 (16938 161 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (16152 33 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (13818 307 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (11354 70 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (10844 1484 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (7278 90 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (5448 70 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (5170 1488 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (4062 395 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (4016 175 (:REWRITE LEN-WHEN-PREFIXP))
 (3350 3320 (:REWRITE DEFAULT-CAR))
 (3016 146 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2948 2948 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (2412 175 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2365 70 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (2185 1122 (:REWRITE DEFAULT-+-2))
 (2028 120 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (1992 131 (:REWRITE NFIX-WHEN-ZP))
 (1920 110 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1864 1287 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1791 84 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (1742 286 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1735 185 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1708 1708 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1546 1546 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1518 137 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1283 1283 (:REWRITE SUBSETP-TRANS2))
 (1283 1283 (:REWRITE SUBSETP-TRANS))
 (1254 327 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (1234 52 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1230 270 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (1123 1122 (:REWRITE DEFAULT-+-1))
 (1038 346 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1038 346 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (950 312 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (907 907 (:REWRITE SUBSETP-MEMBER . 1))
 (813 177 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (807 57 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (785 475 (:REWRITE DEFAULT-<-2))
 (723 233 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (696 696 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (684 475 (:REWRITE DEFAULT-<-1))
 (648 75 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (617 137 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (611 106 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (562 13 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (486 162 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (480 480 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (468 33 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (388 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-15))
 (375 75 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (346 346 (:LINEAR POSITION-WHEN-MEMBER))
 (346 346 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (346 250 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (339 339 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (335 335 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (318 318 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (318 318 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (316 316 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (269 269 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (222 24 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (209 198 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (202 202 (:TYPE-PRESCRIPTION D-E-P))
 (202 202 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (200 199 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (198 198 (:REWRITE CONSP-OF-LIST-FIX))
 (191 191 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (191 191 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (169 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (165 165 (:TYPE-PRESCRIPTION M1-FILE-P))
 (150 150 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (150 75 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (150 75 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (147 147 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (146 146 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (146 4 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (143 143 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (143 13 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (137 137 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (133 133 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (133 133 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (130 26 (:LINEAR NTH-WHEN-D-E-P))
 (125 125 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (120 120 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (120 120 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (118 24 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (100 100 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (98 98 (:REWRITE SUBLISTP-COMPLETE))
 (86 86 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (85 85 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (85 85 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (79 79 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (75 75 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (75 75 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (75 75 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (75 75 (:REWRITE SET::IN-SET))
 (74 2 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-29))
 (68 68 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (65 13 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (56 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (46 46 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (39 15 (:REWRITE NTH-WHEN-PREFIXP))
 (39 13 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (38 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-5))
 (35 35 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (34 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (33 33 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (33 33 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (30 30 (:REWRITE SUBSETP-OF-CDR))
 (28 28 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (26 26 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (24 24 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (24 24 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (24 16 (:REWRITE STR::CONSP-OF-EXPLODE))
 (24 2 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-24))
 (18 4 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (16 4 (:DEFINITION STRIP-CARS))
 (16 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (13 13 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-FIX-UNDER-DIR-STREAM-EQUIV))
 (13 13 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (13 13 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (13 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (13 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (13 13 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (13 13 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (9 9 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 2))
 (8 8 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (8 8 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (8 4 (:REWRITE DEFAULT-*-2))
 (8 1 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (6 2 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (4 4 (:TYPE-PRESCRIPTION STRIP-CARS))
 (4 4 (:REWRITE SUBSETP-OF-NTHCDR))
 (4 4 (:REWRITE DEFAULT-*-1))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (2 2 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (2 2 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (2 2 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-34))
 (2 2 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-22))
 (2 2 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-19))
 (2 2 (:REWRITE CONSP-OF-STRIP-CARS))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-2
 (2329309 940 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (1785618 2981 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1737301 8015 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1593043 55841 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1464148 55841 (:REWRITE LEN-WHEN-PREFIXP))
 (1363726 24114 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1282273 47021 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1181812 1269 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (843798 393 (:REWRITE SUBSETP-OF-CONS))
 (627397 531291 (:REWRITE DEFAULT-+-1))
 (529856 4463 (:REWRITE MEMBER-OF-REMOVE))
 (461250 452 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (419040 53876 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (380839 83 (:REWRITE SUBSETP-APPEND1))
 (343300 42895 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (214447 42895 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (194043 19052 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (192796 143979 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (185640 144031 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (142483 73600 (:REWRITE DEFAULT-<-2))
 (137216 137216 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (129540 73600 (:REWRITE DEFAULT-<-1))
 (125931 67688 (:LINEAR POSITION-WHEN-MEMBER))
 (100032 33152 (:REWRITE CDR-OF-LIST-FIX))
 (89710 231 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (87940 87940 (:TYPE-PRESCRIPTION D-E-P))
 (87913 87669 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (87912 87912 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (87605 87431 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (85776 85776 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (85776 42888 (:REWRITE OMAP::SETP-WHEN-MAPP))
 (85776 42888 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (68883 756 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (67865 65756 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (67443 1442 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (66586 33293 (:REWRITE CAR-OF-LIST-FIX))
 (65600 65274 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (60906 60906 (:REWRITE CONSP-OF-LIST-FIX))
 (60711 60648 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (55483 20221 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (53989 53989 (:REWRITE CONSP-OF-STRIP-CARS))
 (47240 47021 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (44755 44755 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (42895 42895 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (42888 42888 (:TYPE-PRESCRIPTION OMAP::MAPP))
 (42888 42888 (:TYPE-PRESCRIPTION SET::EMPTY-TYPE))
 (42888 42888 (:REWRITE SET::IN-SET))
 (42803 1757 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (39153 13051 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (38994 38994 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (34741 24361 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (31643 7761 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (26341 12599 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (26102 26102 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (25141 25141 (:REWRITE SUBLISTP-COMPLETE))
 (24865 24865 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (24865 24865 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (20604 20604 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (20221 20221 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (20154 20154 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (20062 4050 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (15995 3486 (:REWRITE NOT-INTERSECTP-OF-SET-DIFFERENCE$-WHEN-SUBSETP-1 . 1))
 (14065 4833 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (13972 13972 (:REWRITE LIST-FIX-UNDER-IFF))
 (12945 1311 (:REWRITE SUBSETP-CONS-2))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (12313 11801 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (12108 2018 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (11093 6532 (:REWRITE NTH-WHEN-PREFIXP))
 (10896 10611 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (10854 83 (:REWRITE MEMBER-OF-APPEND))
 (9584 107 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (8922 399 (:REWRITE MEMBER-OF-CONS))
 (8798 1163 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (8306 8306 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8306 8306 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (8006 8006 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (8006 8006 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (7961 3252 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (7937 7937 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (7297 2616 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (7137 7137 (:REWRITE SUBSETP-OF-REMOVE))
 (6514 214 (:REWRITE LEN-OF-NTHCDR))
 (5899 5899 (:DEFINITION POSITION-EQUAL))
 (5895 5895 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER-OF-TAKE))
 (5814 5814 (:REWRITE INTERSECTP-MEMBER . 3))
 (5814 5814 (:REWRITE INTERSECTP-MEMBER . 2))
 (5719 1429 (:REWRITE SET-DIFFERENCE$-OF-REMOVE-WHEN-MEMBER-1))
 (5396 1096 (:LINEAR NTH-WHEN-D-E-P))
 (5209 1781 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5098 230 (:REWRITE POSITION-OF-CDR))
 (5089 1566 (:REWRITE STR::CONSP-OF-EXPLODE))
 (5076 1692 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3891 96 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (3866 3866 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 2))
 (2871 543 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (2426 2422 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (2418 2418 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2394 2394 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (2349 2349 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (2293 1795 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (2132 2132 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (1908 1908 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (1900 1689 (:REWRITE LIST-EQUIV-OF-NIL-LEFT))
 (1850 1850 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1850 1850 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (1781 1781 (:REWRITE FTY::STRIP-CARS-UNDER-IFF))
 (1632 56 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (1607 1607 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (1607 1607 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (1607 1607 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (1607 1607 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (1471 50 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (1465 783 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1464 244 (:REWRITE LEN-OF-STRIP-CARS))
 (1233 48 (:REWRITE EQUAL-OF-DIR-STREAM))
 (1039 163 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (925 925 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (925 925 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (867 867 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (664 664 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-15))
 (567 12 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (558 554 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (556 556 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (547 543 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (543 543 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (543 543 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (522 87 (:REWRITE LEN-OF-LIST-FIX))
 (518 25 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (513 513 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (512 512 (:TYPE-PRESCRIPTION NATP-POSITION-AC))
 (499 25 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (448 13 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-17 . 2))
 (432 216 (:REWRITE DEFAULT-UNARY-MINUS))
 (352 12 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (330 306 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (263 263 (:TYPE-PRESCRIPTION NATP))
 (235 235 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (233 233 (:LINEAR LISTPOS-COMPLETE))
 (186 6 (:DEFINITION LAST))
 (153 153 (:REWRITE-QUOTED-CONSTANT FILE-TABLE-FIX-UNDER-FILE-TABLE-EQUIV))
 (153 153 (:REWRITE-QUOTED-CONSTANT FD-TABLE-FIX-UNDER-FD-TABLE-EQUIV))
 (132 2 (:REWRITE NAT-LISTP-OF-BINARY-APPEND))
 (118 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-APPEND))
 (106 101 (:REWRITE TRUE-LISTP-OF-MEMBER . 1))
 (103 103 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 (100 100 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (100 50 (:REWRITE DEFAULT-*-2))
 (70 5 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE-CONTENTS-OF-CDAR))
 (55 5 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (50 50 (:REWRITE DEFAULT-*-1))
 (48 3 (:REWRITE NAT-LISTP-OF-CONS))
 (43 43 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (36 6 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (30 10 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (25 25 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (25 25 (:REWRITE M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 (22 11 (:REWRITE COMMUTATIVITY-OF-APPEND-UNDER-SET-EQUIV))
 (22 2 (:REWRITE NAT-LISTP-OF-LIST-FIX))
 (21 21 (:REWRITE FD-TABLE-P-OF-FD-TABLE-FIX))
 (20 20 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (14 14 (:REWRITE FILE-TABLE-P-OF-FILE-TABLE-FIX))
 (12 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-TRUE-LIST-FIX))
 (12 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-LIST-FIX))
 (12 2 (:REWRITE NAT-LISTP-OF-APPEND-WEAK))
 (8 8 (:TYPE-PRESCRIPTION POSITION-WHEN-MEMBER))
 (6 6 (:REWRITE-QUOTED-CONSTANT FILE-TABLE-ELEMENT-FIX-UNDER-FILE-TABLE-ELEMENT-EQUIV))
 (5 5 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (2 2 (:REWRITE NAT-LISTP-WHEN-SUBSETP))
 )