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

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acl2 8.6%2Bdfsg-2
links: PTS
area: main
in suites: trixie
size: 1,111,420 kB
sloc: lisp: 17,818,294; java: 125,359; python: 28,122; javascript: 23,458; cpp: 18,851; ansic: 11,569; perl: 7,678; xml: 5,591; sh: 3,976; makefile: 3,833; ruby: 2,633; yacc: 1,126; ml: 763; awk: 295; csh: 233; lex: 197; php: 178; tcl: 49; asm: 23; haskell: 17
file content (8148 lines) | stat: -rw-r--r-- 425,306 bytes
parent folder | download | duplicates (2)
(LIST-EQUIV-WHEN-TRUE-LISTP
 (102 17 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
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 (35 11 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
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 (34 17 (:REWRITE SET::NONEMPTY-MEANS-SET))
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 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (17 17 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
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 (17 17 (:REWRITE SET::IN-SET))
 )
(CONSP-OF-REMOVE-ASSOCS-EQUAL
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 (122 122 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (122 122 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
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 (122 122 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (122 122 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
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(REMOVE-ASSOCS-EQUAL-WHEN-ATOM
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 (11 11 (:REWRITE INTERSECT-WITH-SUBSET . 11))
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(TAR-LEN-DECODE-HELPER
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 (1 1 (:REWRITE DEFAULT-CAR))
 (1 1 (:REWRITE STR::DEC-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 )
(TAR-LEN-DECODE
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(PROCESS-DIR-FILE
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 )
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 (5 2 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (2 2 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (2 2 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (2 2 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (2 2 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (2 2 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 1 (:LINEAR LOFAT-TO-HIFAT-CORRECTNESS-1))
 (1 1 (:REWRITE SUBSETP-MEMBER . 1))
 )
(FD-TABLE-P-OF-PROCESS-REG-FILE
 (7 5 (:REWRITE PRINC$-OF-PRINC$))
 (3 1 (:REWRITE LOFAT-PWRITE-REFINEMENT))
 (2 2 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1 1 (:TYPE-PRESCRIPTION INTEGERP-OF-LOFAT-PWRITE . 1))
 )
(FILE-TABLE-P-OF-PROCESS-REG-FILE
 (7 5 (:REWRITE PRINC$-OF-PRINC$))
 (3 1 (:REWRITE LOFAT-PWRITE-REFINEMENT))
 (2 2 (:TYPE-PRESCRIPTION LOFAT-FS-P))
 (1 1 (:TYPE-PRESCRIPTION INTEGERP-OF-LOFAT-PWRITE . 1))
 )
(LOFAT-FS-P-OF-PROCESS-REG-FILE
 (535401 33 (:DEFINITION LOFAT-PLACE-FILE))
 (173841 264 (:REWRITE PLACE-CONTENTS-EXPANSION-1))
 (168165 1056 (:REWRITE PLACE-CONTENTS-EXPANSION-2))
 (148764 2640 (:LINEAR FIND-N-FREE-CLUSTERS-CORRECTNESS-7))
 (141584 3127 (:REWRITE ZP-OPEN))
 (123915 1947 (:REWRITE NFIX-WHEN-ZP))
 (118965 396 (:DEFINITION STOBJ-FIND-N-FREE-CLUSTERS-CORRECTNESS-1))
 (106062 264 (:REWRITE UPDATE-FATI-OF-UPDATE-FATI-COINCIDENT))
 (80916 198 (:REWRITE UPDATE-FATI-OF-FATI-WHEN-FAT32$C-P))
 (77088 198 (:REWRITE EFFECTIVE-FAT-OF-UPDATE-FATI))
 (76824 1947 (:REWRITE NFIX-WHEN-NATP))
 (75999 1089 (:DEFINITION NATP))
 (74184 1320 (:REWRITE LEN-OF-EFFECTIVE-FAT))
 (62667 7524 (:REWRITE LEN-OF-FIND-N-FREE-CLUSTERS))
 (53655 8232 (:LINEAR LOFAT-FS-P-CORRECTNESS-1))
 (53455 2274 (:DEFINITION LEN))
 (51414 3630 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (47718 7524 (:DEFINITION MIN))
 (47364 432 (:REWRITE LENGTH-WHEN-STRINGP))
 (44529 396 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-8))
 (40939 1517 (:DEFINITION FIND-D-E))
 (37482 99 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-29))
 (35970 35970 (:TYPE-PRESCRIPTION COUNT-FREE-CLUSTERS))
 (34287 231 (:REWRITE LOFAT-FS-P-OF-UPDATE-FATI))
 (33192 132 (:REWRITE LEN-OF-NATS=>CHARS))
 (33060 132 (:REWRITE LEN-OF-INSERT-D-E))
 (30807 16000 (:REWRITE DEFAULT-+-2))
 (28400 19594 (:REWRITE DEFAULT-<-1))
 (27998 6542 (:REWRITE DEFAULT-CDR))
 (27533 19594 (:REWRITE DEFAULT-<-2))
 (25344 264 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (23970 132 (:DEFINITION INTEGER-LISTP))
 (23712 132 (:REWRITE LEN-OF-PLACE-D-E))
 (23214 1113 (:REWRITE HIFAT-ENTRY-COUNT-OF-LOFAT-TO-HIFAT-HELPER-OF-DELETE-D-E-LEMMA-3))
 (20958 16000 (:REWRITE DEFAULT-+-1))
 (20439 231 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (19832 4958 (:REWRITE COMMUTATIVITY-OF-+))
 (19824 264 (:REWRITE LOFAT-FILE->CONTENTS-OF-LOFAT-FILE))
 (19788 1893 (:REWRITE LOFAT-PLACE-FILE-GUARD-LEMMA-2))
 (19560 264 (:REWRITE LOFAT-FILE-CONTENTS-FIX-WHEN-LOFAT-FILE-CONTENTS-P))
 (17271 198 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (17160 858 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (16665 1155 (:REWRITE D-E-CC-UNDER-IFF . 2))
 (16587 1781 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (15675 1023 (:REWRITE INTEGERP-OF-NTH-WHEN-INTEGER-LISTP))
 (15583 478 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (15192 198 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (14388 594 (:REWRITE CONSP-OF-LAST))
 (13431 198 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (13200 2640 (:LINEAR NTH-WHEN-D-E-P))
 (13053 3751 (:REWRITE DEFAULT-CAR))
 (13049 1113 (:REWRITE FIND-D-E-CORRECTNESS-2))
 (12142 12142 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (11319 5577 (:REWRITE FIND-N-FREE-CLUSTERS-WHEN-ZP))
 (10626 132 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (10098 10098 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (10065 99 (:DEFINITION LAST))
 (9945 33 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (9595 1649 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (9525 9525 (:TYPE-PRESCRIPTION FIND-D-E-CORRECTNESS-1))
 (9492 1590 (:REWRITE LOFAT-DIRECTORY-FILE-P-WHEN-LOFAT-FILE-P))
 (9138 412 (:DEFINITION ASSOC-EQUAL))
 (9089 9089 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (9089 9089 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (9089 9089 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (9089 9089 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (9089 9089 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (9089 9089 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (9089 9089 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (9089 9089 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (8840 24 (:REWRITE LOFAT-FILE-CONTENTS-P-WHEN-STRINGP))
 (8448 8448 (:TYPE-PRESCRIPTION FAT-ENTRY-COUNT))
 (7661 41 (:DEFINITION LOFAT-FIND-FILE))
 (7458 1155 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-8))
 (7392 176 (:REWRITE LOFAT-PWRITE-REFINEMENT-LEMMA-2))
 (7031 41 (:REWRITE LOFAT-TO-HIFAT-INVERSION-LEMMA-11))
 (6972 1128 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-2))
 (6930 330 (:DEFINITION BINARY-APPEND))
 (6699 1881 (:REWRITE LOFAT-FILE-P-WHEN-LOFAT-DIRECTORY-FILE-P-OR-LOFAT-REGULAR-FILE-P))
 (6541 6541 (:TYPE-PRESCRIPTION NFIX))
 (6435 660 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (6237 1254 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (5892 5892 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5676 330 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (5674 5674 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (5660 5660 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (5607 1781 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (5520 132 (:DEFINITION PLACE-D-E))
 (5480 432 (:REWRITE INSERT-TEXT-CORRECTNESS-4))
 (5403 5403 (:TYPE-PRESCRIPTION INTEGERP-OF-D-E-CC-CONTENTS))
 (4983 3036 (:TYPE-PRESCRIPTION LAST))
 (4983 33 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (4686 4686 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-D-E-CC))
 (4554 4554 (:TYPE-PRESCRIPTION LOFAT-FILE))
 (4122 1374 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4122 1374 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (3993 198 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3712 16 (:LINEAR LOFAT-PWRITE-REFINEMENT-LEMMA-22))
 (3696 3696 (:TYPE-PRESCRIPTION NATP-OF-PLACE-CONTENTS))
 (3696 3696 (:TYPE-PRESCRIPTION FIND-N-FREE-CLUSTERS))
 (3696 165 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (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))
 (3264 1056 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (3168 66 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (3135 1023 (:REWRITE NTH-WHEN-D-E-P . 2))
 (2922 2922 (:TYPE-PRESCRIPTION LOFAT-DIRECTORY-FILE-P))
 (2913 2913 (:TYPE-PRESCRIPTION LOFAT-FILE-P))
 (2906 38 (:LINEAR LEN-OF-FAT32-BUILD-INDEX-LIST-1 . 1))
 (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))
 (2739 99 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (2628 165 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-8))
 (2622 2622 (:LINEAR D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-DISJOINT-LEMMA-12))
 (2599 746 (:REWRITE STR::CONSP-OF-EXPLODE))
 (2409 132 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2361 2361 (:TYPE-PRESCRIPTION STRINGP-OF-IMPLODE))
 (2353 665 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (2226 185 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (2203 2203 (:TYPE-PRESCRIPTION USEFUL-D-E-LIST-P))
 (2178 2178 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (2178 2178 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (2012 610 (:REWRITE DEFAULT-*-2))
 (1888 24 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 2))
 (1881 1881 (:TYPE-PRESCRIPTION NATP))
 (1881 1881 (:REWRITE LOFAT-FILE-P-OF-LOFAT-FILE))
 (1864 24 (:LINEAR INSERT-TEXT-CORRECTNESS-3 . 1))
 (1857 1857 (:TYPE-PRESCRIPTION GOOD-ROOT-D-E-P))
 (1744 48 (:REWRITE LOFAT-PWRITE-REFINEMENT-LEMMA-7))
 (1716 132 (:REWRITE DISTRIBUTIVITY))
 (1658 1658 (:REWRITE USEFUL-D-E-LIST-P-OF-MAKE-D-E-LIST))
 (1584 528 (:REWRITE NATP-OF-PLACE-CONTENTS))
 (1584 132 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1524 448 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1463 41 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (1415 1415 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (1386 693 (:REWRITE LOFAT-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1374 1374 (:LINEAR POSITION-WHEN-MEMBER))
 (1374 1374 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1358 1358 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1344 1008 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-INSERT-TEXT))
 (1320 1320 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-47))
 (1320 1320 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-44))
 (1320 132 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (1251 1251 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (1080 90 (:REWRITE LOFAT-FS-P-OF-LOFAT-PLACE-FILE-LEMMA-8))
 (1056 1056 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (1056 726 (:REWRITE LOFAT-FS-P-CORRECTNESS-1))
 (1056 627 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (1044 132 (:REWRITE D-E-LIST-FIX-WHEN-D-E-LIST-P))
 (1026 114 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-13))
 (1008 88 (:REWRITE LOFAT-PWRITE-REFINEMENT-LEMMA-49))
 (990 990 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-8))
 (891 33 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (880 264 (:REWRITE STR::EXPLODE-OF-IMPLODE))
 (864 38 (:LINEAR PAINFUL-DEBUGGING-LEMMA-9))
 (864 38 (:LINEAR PAINFUL-DEBUGGING-LEMMA-10))
 (858 858 (:REWRITE FIND-N-FREE-CLUSTERS-CORRECTNESS-2 . 1))
 (831 123 (:REWRITE LOFAT-FILE-FIX-WHEN-LOFAT-FILE-P))
 (798 798 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 2))
 (721 41 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (660 528 (:REWRITE CLUSTER-SIZE-OF-UPDATE-FATI))
 (627 627 (:REWRITE COUNT-OF-CLUSTERS-OF-CLEAR-CC))
 (610 610 (:REWRITE DEFAULT-*-1))
 (594 198 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (588 152 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-10))
 (583 74 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (561 561 (:TYPE-PRESCRIPTION STOBJ-FIND-N-FREE-CLUSTERS))
 (538 538 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (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))
 (448 32 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (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))
 (426 33 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-7))
 (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))
 (396 33 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (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))
 (315 15 (:REWRITE LOFAT-PWRITE-REFINEMENT-LEMMA-1))
 (297 297 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (294 294 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (294 33 (:REWRITE D-E-FIRST-CLUSTER-OF-D-E-INSTALL-DIRECTORY-BIT))
 (288 32 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (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))
 (165 165 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (165 165 (:REWRITE EFFECTIVE-FAT-OF-CLEAR-CC . 3))
 (165 165 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (152 152 (:TYPE-PRESCRIPTION CEILING))
 (135 45 (:REWRITE LOFAT-UNLINK-REFINEMENT-LEMMA-4))
 (132 132 (:TYPE-PRESCRIPTION STRINGP-OF-D-E-CC-CONTENTS))
 (132 132 (:REWRITE SUBSETP-TRANS2))
 (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$))
 (123 123 (:REWRITE-QUOTED-CONSTANT LOFAT-FILE-CONTENTS-FIX-UNDER-LOFAT-FILE-CONTENTS-EQUIV))
 (123 41 (:REWRITE LOFAT-PREAD-REFINEMENT-LEMMA-1))
 (88 8 (:LINEAR LOFAT-PWRITE-REFINEMENT-LEMMA-8))
 (88 8 (:LINEAR LOFAT-PWRITE-REFINEMENT-LEMMA-50))
 (73 73 (:TYPE-PRESCRIPTION M1-FILE-CONTENTS-P))
 (66 66 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (66 66 (:REWRITE INTERSECTP-MEMBER . 1))
 (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))
 (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
 (49264 576 (:REWRITE COUNT-FREE-CLUSTERS-OF-SET-INDICES-IN-FA-TABLE-2))
 (48130 291 (:DEFINITION FREE-INDEX-LISTP))
 (41587 304 (:REWRITE NTH-OF-EFFECTIVE-FAT))
 (36228 1355 (:DEFINITION FIND-D-E))
 (33402 25 (:REWRITE LOFAT-REMOVE-FILE-CORRECTNESS-LEMMA-13))
 (18022 87 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-18))
 (17994 102 (:REWRITE LOFAT-TO-HIFAT-INVERSION-LEMMA-11))
 (16653 23 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-DISJOINT))
 (15822 582 (:REWRITE ACL2-NUMBERP-OF-CAR-WHEN-ACL2-NUMBER-LISTP))
 (15808 4234 (:REWRITE DEFAULT-<-2))
 (14545 1020 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (13573 3049 (:REWRITE DEFAULT-CDR))
 (12821 766 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-COINCIDENT-LEMMA-15))
 (12530 1355 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (12086 622 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (11279 4234 (:REWRITE DEFAULT-<-1))
 (9405 23 (:REWRITE D-E-CC-CONTENTS-OF-PLACE-CONTENTS-COINCIDENT-1))
 (7553 46 (:REWRITE D-E-CC-OF-UPDATE-FATI))
 (7436 4355 (:REWRITE DEFAULT-+-2))
 (7396 100 (:LINEAR LEN-OF-FAT32-BUILD-INDEX-LIST-1 . 1))
 (7326 582 (:REWRITE ACL2-NUMBER-LISTP-WHEN-RATIONAL-LISTP))
 (7110 1355 (:REWRITE D-E-P-OF-CAR-WHEN-D-E-LIST-P))
 (5600 4355 (:REWRITE DEFAULT-+-1))
 (5374 763 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (5269 5269 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (5269 5269 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (5269 5269 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (5269 5269 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (5269 5269 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (5269 5269 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (5269 5269 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (5269 5269 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (5153 2519 (:REWRITE DEFAULT-CAR))
 (4968 540 (:REWRITE D-E-CC-UNDER-IFF . 3))
 (4781 287 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (4412 4412 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (4245 1415 (:REWRITE D-E-LIST-P-WHEN-USEFUL-D-E-LIST-P))
 (4049 89 (:REWRITE REPEAT-WHEN-ZP))
 (4045 18 (:DEFINITION INTEGER-LISTP))
 (4032 315 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (3900 410 (:REWRITE CONSP-OF-FAT32-BUILD-INDEX-LIST))
 (3748 25 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (3690 738 (:LINEAR NTH-WHEN-D-E-P))
 (3462 87 (:REWRITE MEMBER-WHEN-ATOM))
 (3061 58 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (2829 2829 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (2808 453 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2787 472 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-5))
 (2742 2742 (:TYPE-PRESCRIPTION D-E-FILENAME))
 (2662 582 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (2620 46 (:LINEAR LOFAT-PLACE-FILE-CORRECTNESS-1-LEMMA-25))
 (2606 2606 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (2592 590 (:REWRITE ACL2-NUMBER-LISTP-WHEN-NOT-CONSP))
 (2584 582 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (2415 690 (:REWRITE STR::CONSP-OF-EXPLODE))
 (2340 2340 (:TYPE-PRESCRIPTION D-E-FILE-SIZE))
 (2261 205 (:REWRITE GOOD-ROOT-D-E-P-OF-PSEUDO-ROOT-D-E))
 (2188 107 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2148 100 (:LINEAR PAINFUL-DEBUGGING-LEMMA-9))
 (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))
 (1777 241 (:REWRITE LOFAT-MKDIR-REFINEMENT-LEMMA-13))
 (1648 362 (:LINEAR D-E-FILE-SIZE-CORRECTNESS-1))
 (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))
 (1448 30 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-REMOVE-FILE-COINCIDENT-LEMMA-1))
 (1415 1415 (:TYPE-PRESCRIPTION FREE-INDEX-LISTP))
 (1344 1344 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 2))
 (1324 1324 (:REWRITE NTH-WHEN-PREFIXP))
 (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))
 (1264 120 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (1206 10 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-98))
 (1192 1192 (:REWRITE INTEGER-LISTP-OF-D-E-CC))
 (1156 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (1133 117 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1120 30 (:REWRITE D-E-CC-OF-CLEAR-CC))
 (1055 87 (:REWRITE SUBSETP-MEMBER . 3))
 (1035 1035 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (952 54 (:REWRITE CONSP-OF-LAST))
 (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))
 (850 26 (:REWRITE INTEGERP-OF-CAR-OF-LAST-WHEN-INTEGER-LISTP))
 (823 41 (:REWRITE LOFAT-PLACE-FILE-HELPER-CORRECTNESS-1))
 (778 26 (:REWRITE D-E-CC-CONTENTS-OF-LOFAT-PLACE-FILE-DISJOINT-LEMMA-1))
 (768 85 (:REWRITE SUBSETP-MEMBER . 1))
 (766 374 (:LINEAR LOFAT-FIND-FILE-CORRECTNESS-1-LEMMA-8))
 (730 21 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (723 496 (:TYPE-PRESCRIPTION LAST))
 (698 347 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (630 310 (:LINEAR HIFAT-TO-LOFAT-INVERSION-LEMMA-19))
 (620 620 (:TYPE-PRESCRIPTION TRUE-LISTP-OF-FAT32-BUILD-INDEX-LIST))
 (588 54 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (586 374 (:LINEAR LOFAT-TO-HIFAT-HELPER-AFTER-DELETE-AND-CLEAR-1-LEMMA-1))
 (554 434 (:LINEAR POSITION-WHEN-MEMBER))
 (524 228 (:REWRITE NTH-WHEN-D-E-P . 2))
 (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))
 (417 48 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (400 400 (:TYPE-PRESCRIPTION CEILING))
 (400 20 (:REWRITE LOFAT-PLACE-FILE-CORRECTNESS-LEMMA-33))
 (388 91 (:REWRITE SET-INDICES-IN-FA-TABLE-WHEN-ATOM))
 (388 27 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (384 192 (:LINEAR LOFAT-TO-HIFAT-CORRECTNESS-1))
 (368 8 (:REWRITE ACL2-NUMBER-LISTP-OF-CDR-WHEN-ACL2-NUMBER-LISTP))
 (356 178 (:REWRITE DEFAULT-*-2))
 (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))
 (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))
 (240 120 (:REWRITE INTERSECTP-MEMBER . 1))
 (240 13 (:DEFINITION BINARY-APPEND))
 (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))
 (178 178 (:REWRITE DEFAULT-*-1))
 (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))
 (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
 (19722 758 (:DEFINITION LEN))
 (10638 3546 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (8067 816 (:REWRITE DEFAULT-CDR))
 (7467 27 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (5840 250 (:REWRITE THEN-SUBSEQ-SAME-2))
 (3884 1309 (:REWRITE STR::CONSP-OF-EXPLODE))
 (3666 69 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (3549 3549 (:TYPE-PRESCRIPTION ZP))
 (3462 630 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (2479 26 (:REWRITE THEN-SUBSEQ-EMPTY-1))
 (2437 58 (:DEFINITION BINARY-APPEND))
 (2046 786 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1941 865 (:REWRITE DEFAULT-+-2))
 (1893 69 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (1749 1749 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
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 (1749 1749 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (1749 1749 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (1749 1749 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
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 (1749 1749 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (1749 1749 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (1380 285 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1227 676 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (901 222 (:REWRITE DEFAULT-<-1))
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 (840 840 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (786 786 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (786 102 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (651 213 (:REWRITE DEFAULT-*-2))
 (628 4 (:REWRITE LOFAT-MKDIR-REFINEMENT))
 (600 600 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
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 (515 3 (:REWRITE ZP-OPEN))
 (482 222 (:REWRITE DEFAULT-<-2))
 (450 150 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (450 150 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
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 (438 66 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (420 420 (:REWRITE SUBSETP-MEMBER . 1))
 (405 58 (:REWRITE DEFAULT-CAR))
 (354 18 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (300 300 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (300 300 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (288 32 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (288 32 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (276 276 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (228 12 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-RIGHT))
 (213 213 (:REWRITE DEFAULT-*-1))
 (183 42 (:DEFINITION UNSIGNED-BYTE-P))
 (162 66 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (150 150 (:LINEAR POSITION-WHEN-MEMBER))
 (150 150 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (141 42 (:DEFINITION INTEGER-RANGE-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))
 (68 1 (:REWRITE CONSP-OF-APPEND))
 (62 38 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (56 56 (:TYPE-PRESCRIPTION LOFAT-TO-HIFAT-CORRECTNESS-1 . 2))
 (52 3 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (44 44 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (44 44 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (36 4 (:REWRITE LOFAT-PWRITE-REFINEMENT))
 (27 27 (:REWRITE NTH-WHEN-PREFIXP))
 (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-LIST*P))
 (11 3 (:REWRITE STR::CHARACTER-LISTP-WHEN-DEC-DIGIT-CHAR-LIST*P))
 (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-LIST*P))
 (4 4 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-LIST*P))
 (4 4 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (4 2 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (4 2 (:REWRITE STR::DEC-DIGIT-CHAR-LIST*P-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))
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 (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 4 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (4 4 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (4 4 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (4 4 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (4 4 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (4 4 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (4 4 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (4 4 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (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-LIST*P))
 (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-LIST*P))
 (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-LIST*P))
 (19 19 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-LIST*P))
 (18 18 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (15 9 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (15 9 (:REWRITE STR::DEC-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (14 1 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-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-LIST*P-OF-CONS))
 (6 3 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-CDR-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (6 3 (:REWRITE STR::DEC-DIGIT-CHAR-LIST*P-OF-CDR-WHEN-DEC-DIGIT-CHAR-LIST*P))
 (5 4 (:REWRITE DEFAULT-CDR))
 (5 4 (:REWRITE DEFAULT-CAR))
 (3 3 (:REWRITE THIS-NEEDS-TO-BE-ADDED-TO-QUOTIENT-REMAINDER-LEMMAS))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (3 3 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (2 2 (:REWRITE STR::HEX-DIGIT-CHAR-P-WHEN-MEMBER-EQUAL-OF-HEX-DIGIT-CHAR-LIST*P))
 (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))
 (13 1 (:DEFINITION REVAPPEND))
 (12 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (10 2 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (10 1 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (8 8 (:REWRITE DEFAULT-<-2))
 (8 8 (:REWRITE DEFAULT-<-1))
 (8 1 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-REVAPPEND))
 (7 1 (:REWRITE STR::CHARACTER-LISTP-WHEN-DEC-DIGIT-CHAR-LIST*P))
 (4 2 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (4 1 (:REWRITE STR::DEC-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (4 1 (:REWRITE COMMUTATIVITY-OF-+))
 (3 3 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (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-LIST*P))
 (2 2 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (2 2 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (2 1 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-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
 (60 4 (:DEFINITION LEN))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (13 1 (:DEFINITION REVAPPEND))
 (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 5 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (5 5 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (5 5 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (5 5 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (5 5 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (5 5 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (5 5 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (5 5 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (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
 (243 9 (:DEFINITION LEN))
 (113 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))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 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-LIST*P))
 (6 1 (:REWRITE STR::CHARACTER-LISTP-WHEN-DEC-DIGIT-CHAR-LIST*P))
 (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-LIST*P-WHEN-NOT-CONSP))
 (3 1 (:REWRITE STR::DEC-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (2 2 (:TYPE-PRESCRIPTION STR::HEX-DIGIT-CHAR-LIST*P))
 (2 2 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-LIST*P))
 (2 2 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 )
(HIFAT-TAR-REG-FILE-STRING
 (1114 35 (:DEFINITION LEN))
 (472 4 (:DEFINITION MAKE-LIST-AC))
 (376 38 (:REWRITE DEFAULT-CDR))
 (336 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (328 58 (:REWRITE STR::CONSP-OF-EXPLODE))
 (289 289 (:TYPE-PRESCRIPTION NUMERATOR-NON-POSITIVE-INTEGER-TYPE-PRESCRIPTION))
 (289 289 (:TYPE-PRESCRIPTION NUMERATOR-NEGATIVE-INTEGER-TYPE-PRESCRIPTION))
 (254 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (234 9 (:REWRITE NNIQ-NO-ROUNDING-TO-DO))
 (198 67 (:REWRITE DEFAULT-*-2))
 (186 31 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (181 76 (:REWRITE DEFAULT-+-2))
 (126 76 (:REWRITE DEFAULT-+-1))
 (123 67 (:REWRITE DEFAULT-*-1))
 (109 46 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (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))
 (70 70 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (70 70 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (70 70 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (70 70 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (70 70 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (70 70 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (70 70 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (70 70 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (59 28 (:REWRITE DEFAULT-<-1))
 (48 12 (:REWRITE DENOMINATOR-OF-INTEGER-IS-ONE))
 (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))
 (38 4 (:DEFINITION UNSIGNED-BYTE-P))
 (37 37 (:REWRITE EXPT-COMPARE-EQUAL))
 (37 37 (:REWRITE EQUAL-OF-PREDS-REWRITE))
 (37 37 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-RIGHT-HAND-SIDE))
 (37 37 (:REWRITE EQUAL-MULTIPLY-THROUGH-BY-INVERTED-FACTOR-FROM-LEFT-HAND-SIDE))
 (37 37 (:REWRITE CANCEL-COMMON-FACTORS-IN-EQUAL))
 (37 37 (:META CANCEL_TIMES-EQUAL-CORRECT))
 (37 37 (:META CANCEL_PLUS-EQUAL-CORRECT))
 (36 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (34 34 (:META CANCEL_PLUS-LESSP-CORRECT))
 (34 2 (:LINEAR DENOMINATOR-POSITIVE))
 (32 12 (:REWRITE DEFAULT-DENOMINATOR))
 (30 10 (:REWRITE DEFAULT-UNARY-/))
 (30 4 (:DEFINITION INTEGER-RANGE-P))
 (26 8 (:REWRITE NUMERATOR-OF-INTEGER-IS-THE-INTEGER-ITSELF))
 (26 4 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (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-LIST*P))
 (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-LIST*P))
 (17 17 (:REWRITE POWER2-INTEGER))
 (17 17 (:REWRITE INTEGERP-PROD))
 (17 17 (:REWRITE INTEGERP-MINUS))
 (15 1 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (15 1 (:REWRITE STR::DEC-DIGIT-CHAR-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))
 (6 6 (:LINEAR POSITION-WHEN-MEMBER))
 (6 6 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (6 3 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (6 1 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (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 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-LIST*P))
 (2 2 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-LIST*P))
 (2 2 (:TYPE-PRESCRIPTION D-E-P))
 (2 2 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (2 2 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (2 1 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1 1 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (1 1 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (1 1 (:REWRITE SET::IN-SET))
 )
(GET-NAMES-FROM-DIRP
 (8007 39 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (7857 6 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (6762 18 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (6714 18 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (6414 60 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (5559 39 (:REWRITE LEN-WHEN-PREFIXP))
 (4281 120 (:DEFINITION ASSOC-EQUAL))
 (4062 30 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3369 465 (:REWRITE DEFAULT-CAR))
 (2898 36 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (2316 18 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1800 120 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (1692 188 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (1689 18 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1443 18 (:DEFINITION PUT-ASSOC-EQUAL))
 (1386 18 (:REWRITE EQUAL-OF-DIR-STREAM))
 (1242 18 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (1188 39 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (825 426 (:REWRITE DEFAULT-CDR))
 (761 761 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (761 761 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (761 761 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (761 761 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (761 761 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (761 761 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (761 761 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (761 761 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (420 18 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (378 378 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (366 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (270 30 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (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))
 (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))
 (132 18 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (132 18 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (132 18 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (102 102 (:REWRITE DEFAULT-+-1))
 (93 50 (:REWRITE DEFAULT-<-1))
 (92 50 (:REWRITE DEFAULT-<-2))
 (72 72 (:LINEAR POSITION-WHEN-MEMBER))
 (72 72 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (63 6 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (63 6 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (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))
 (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))
 (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
 (122 34 (:REWRITE DEFAULT-CAR))
 (29 10 (:REWRITE DEFAULT-CDR))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (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))
 (302 14 (:DEFINITION ASSOC-EQUAL))
 (203 59 (:REWRITE DEFAULT-CAR))
 (56 40 (:REWRITE DEFAULT-CDR))
 (49 49 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (49 49 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (49 49 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (49 49 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (49 49 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (49 49 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (49 49 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (49 49 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (44 5 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (31 5 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (27 3 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (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))
 (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
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 (29346 3945 (:REWRITE DEFAULT-CAR))
 (15944 199 (:DEFINITION PUT-ASSOC-EQUAL))
 (15450 1030 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (14360 147 (:REWRITE EQUAL-OF-DIR-STREAM))
 (13185 1465 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
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 (4494 4494 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (4494 4494 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (4494 4494 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (4494 4494 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (4494 4494 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (4494 4494 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
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 (504 504 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (375 90 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (289 289 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (256 256 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (180 15 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (147 147 (:TYPE-PRESCRIPTION DIR-STREAM-P))
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 (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
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 (4820 41 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
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 (3838 44 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (3165 211 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (3024 336 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (2800 35 (:DEFINITION PUT-ASSOC-EQUAL))
 (1032 1032 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (1032 1032 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (1032 1032 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (1032 1032 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (1032 1032 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (1032 1032 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (1032 1032 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (1032 1032 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (942 3 (:REWRITE PUT-ASSOC-OF-PUT-ASSOC-1))
 (672 672 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
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 (453 61 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (450 9 (:REWRITE DIR-STREAM->FILE-LIST-OF-DIR-STREAM))
 (432 78 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (282 66 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (213 18 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (123 123 (:TYPE-PRESCRIPTION DIR-STREAM))
 (73 73 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (66 66 (:REWRITE SUBSETP-TRANS2))
 (66 66 (:REWRITE SUBSETP-TRANS))
 (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))
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 (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))
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 (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
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 (7385 773 (:REWRITE DEFAULT-CAR))
 (5135 41 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (4797 35 (:REWRITE EQUAL-OF-DIR-STREAM))
 (4687 44 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (4644 211 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
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 (3061 35 (:DEFINITION PUT-ASSOC-EQUAL))
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 (1310 169 (:REWRITE SUBSETP-WHEN-SUBSETP))
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 (1171 1171 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
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 (324 44 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (166 166 (:REWRITE SUBSETP-TRANS2))
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 (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))
 (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))
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 (9 9 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-FIX-UNDER-DIR-STREAM-EQUIV))
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 (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
 (829 23 (:DEFINITION ASSOC-EQUAL))
 (635 82 (:REWRITE DEFAULT-CAR))
 (468 39 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (381 17 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (345 23 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (297 33 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (258 6 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (240 3 (:DEFINITION PUT-ASSOC-EQUAL))
 (150 4 (:DEFINITION NO-DUPLICATESP-EQUAL))
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 (104 104 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
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 (104 104 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
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 (66 66 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (36 4 (:REWRITE SUBSETP-CAR-MEMBER))
 (36 4 (:REWRITE MEMBER-WHEN-ATOM))
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 (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 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
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 (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))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 )
(FD-TABLE-P-OF-HIFAT-TAR-NAME-LIST-STRING-LEMMA-1
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 (31 7 (:REWRITE DEFAULT-CAR))
 (24 1 (:DEFINITION ASSOC-EQUAL))
 (20 1 (:REWRITE MEMBER-WHEN-ATOM))
 (9 1 (:REWRITE CONSP-OF-STRIP-CARS))
 (8 8 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (8 8 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (8 8 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (8 8 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (8 8 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (8 8 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (8 8 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (8 8 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (5 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (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))
 )
(FD-TABLE-P-OF-HIFAT-TAR-NAME-LIST-STRING
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 (585 39 (:DEFINITION LEN))
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 (570 38 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (504 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (491 491 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
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 (491 491 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (491 491 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (491 491 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (491 491 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (491 491 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (413 39 (:REWRITE NFIX-WHEN-ZP))
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 (211 55 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (211 55 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (176 25 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (158 158 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
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 (144 144 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
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 (87 29 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (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))
 (58 58 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (58 58 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (44 4 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (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))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-OF-HIFAT-CLOSEDIR))
 )
(STRINGP-OF-HIFAT-TAR-NAME-LIST-STRING
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 (1506 1498 (:REWRITE DEFAULT-CAR))
 (1236 652 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
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 (192 41 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (167 167 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
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 (96 96 (:TYPE-PRESCRIPTION TAR-HEADER-BLOCK))
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 (74 74 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
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 (44 4 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (42 42 (:TYPE-PRESCRIPTION HIFAT-TAR-REG-FILE-STRING))
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 (26 26 (:TYPE-PRESCRIPTION FILE-TABLE-P))
 (26 26 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (26 26 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
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 (22 22 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (22 22 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION STRING-APPEND-LST))
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 (6 6 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
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 (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
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 (711 79 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (640 16 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (585 39 (:DEFINITION LEN))
 (570 38 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (570 38 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (504 56 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (483 483 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (483 483 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (483 483 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (483 483 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (483 483 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (483 483 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (483 483 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (483 483 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (457 71 (:REWRITE STR::CONSP-OF-EXPLODE))
 (413 39 (:REWRITE NFIX-WHEN-ZP))
 (360 8 (:REWRITE CONSP-OF-APPEND))
 (312 26 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (281 221 (:REWRITE DEFAULT-CDR))
 (172 21 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (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))
 (102 102 (:REWRITE DEFAULT-+-1))
 (99 11 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (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))
 (58 58 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (58 58 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (44 4 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (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))
 (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))
 (25042 10097 (:REWRITE DEFAULT-CAR))
 (23438 155 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (17648 3258 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (16073 864 (:REWRITE NFIX-WHEN-ZP))
 (11951 323 (:DEFINITION STRIP-CARS))
 (11500 94 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (11476 308 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (10175 2371 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10101 117 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (9934 63 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (8164 1267 (:REWRITE STR::CONSP-OF-EXPLODE))
 (6588 172 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (6345 141 (:REWRITE CONSP-OF-APPEND))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (5790 386 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (5504 5504 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5409 601 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (5225 1913 (:REWRITE DEFAULT-<-2))
 (4808 290 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (4753 3881 (:REWRITE DEFAULT-CDR))
 (4128 1376 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4128 1376 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4052 86 (:REWRITE LEN-WHEN-PREFIXP))
 (3982 86 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3463 749 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (3112 443 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (3058 328 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2934 290 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2771 1540 (:REWRITE DEFAULT-+-2))
 (2752 2752 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (2752 2752 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2614 1540 (:REWRITE DEFAULT-+-1))
 (2363 177 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2236 2236 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2235 149 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (2219 1913 (:REWRITE DEFAULT-<-1))
 (2213 181 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2115 235 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (2062 529 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1836 918 (:REWRITE DEFAULT-*-2))
 (1656 1656 (:TYPE-PRESCRIPTION TAR-HEADER-BLOCK))
 (1647 1647 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (1593 177 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (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))
 (1174 121 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1170 117 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1142 1142 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (1058 1058 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (975 975 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (966 91 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (918 918 (:REWRITE DEFAULT-*-1))
 (852 852 (:TYPE-PRESCRIPTION HIFAT-TAR-REG-FILE-STRING))
 (788 47 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (702 134 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (642 214 (:REWRITE FOLD-CONSTS-IN-+))
 (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))
 (351 39 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (351 39 (:REWRITE CONSP-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))
 (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))
 (234 39 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (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))
 (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))
 (156 156 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (154 154 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-FIX$INLINE))
 (100 12 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (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 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 SET::EMPTYP-TYPE))
 (39 39 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (39 39 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (39 39 (:REWRITE SET::IN-SET))
 (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))
 (24631 10121 (:REWRITE DEFAULT-CAR))
 (23438 155 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (17648 3258 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (15852 643 (:REWRITE NFIX-WHEN-ZP))
 (11951 323 (:DEFINITION STRIP-CARS))
 (11500 94 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (11476 308 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (10175 2371 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (10101 117 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (9934 63 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (8164 1267 (:REWRITE STR::CONSP-OF-EXPLODE))
 (6588 172 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (6345 141 (:REWRITE CONSP-OF-APPEND))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (5946 5946 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (5790 386 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (5504 5504 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5409 601 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (5225 1913 (:REWRITE DEFAULT-<-2))
 (4808 290 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (4422 3881 (:REWRITE DEFAULT-CDR))
 (4128 1376 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (4128 1376 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (4052 86 (:REWRITE LEN-WHEN-PREFIXP))
 (3982 86 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3463 749 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (3112 443 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (3058 328 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2934 290 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (2771 1540 (:REWRITE DEFAULT-+-2))
 (2752 2752 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (2752 2752 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (2614 1540 (:REWRITE DEFAULT-+-1))
 (2363 177 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (2236 2236 (:TYPE-PRESCRIPTION M1-FILE-P))
 (2235 149 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (2219 1913 (:REWRITE DEFAULT-<-1))
 (2213 181 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2115 235 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (2062 529 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1836 918 (:REWRITE DEFAULT-*-2))
 (1656 1656 (:TYPE-PRESCRIPTION TAR-HEADER-BLOCK))
 (1647 1647 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (1593 177 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (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))
 (1174 121 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1170 117 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (1142 1142 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (1058 1058 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (975 975 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (966 91 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
 (918 918 (:REWRITE DEFAULT-*-1))
 (852 852 (:TYPE-PRESCRIPTION HIFAT-TAR-REG-FILE-STRING))
 (788 47 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (702 134 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (642 214 (:REWRITE FOLD-CONSTS-IN-+))
 (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))
 (351 39 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (351 39 (:REWRITE CONSP-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))
 (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))
 (234 39 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (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))
 (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))
 (156 156 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
 (154 154 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-FIX$INLINE))
 (100 12 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (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 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 SET::EMPTYP-TYPE))
 (39 39 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (39 39 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (39 39 (:REWRITE SET::IN-SET))
 (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
 (30760 1550 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (24484 980 (:DEFINITION ASSOC-EQUAL))
 (20276 62 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (12643 249 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (11526 503 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (11440 3600 (:REWRITE DEFAULT-CAR))
 (5231 76 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (3807 3807 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (3807 3807 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (3807 3807 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (3807 3807 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (3807 3807 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (3807 3807 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (3807 3807 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (3807 3807 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (3776 438 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (3296 36 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (3227 3161 (:REWRITE DEFAULT-CDR))
 (3076 3076 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (2632 188 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (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))
 (1710 190 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1650 1650 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1498 9 (:DEFINITION STRING-APPEND-LST))
 (1272 1272 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1269 213 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1137 237 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1107 231 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1060 207 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (872 174 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (718 225 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (531 31 (:DEFINITION LEN))
 (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))
 (319 85 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (306 34 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (306 34 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (247 247 (:TYPE-PRESCRIPTION M1-FILE-P))
 (234 9 (:DEFINITION STRING-APPEND))
 (230 23 (:REWRITE DIR-STREAM-TABLE-FIX-WHEN-DIR-STREAM-TABLE-P))
 (227 227 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (212 76 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (210 210 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (207 207 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (192 39 (:REWRITE STR::CONSP-OF-EXPLODE))
 (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))
 (135 15 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (135 3 (:REWRITE CONSP-OF-APPEND))
 (134 68 (:REWRITE DEFAULT-<-2))
 (114 3 (:REWRITE NFIX-WHEN-ZP))
 (104 104 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (98 67 (:REWRITE DEFAULT-+-2))
 (81 81 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (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))
 (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))
 (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))
 (14 2 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (14 2 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (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))
 (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
 (215046 3936 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (207986 59461 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (152622 7534 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (126253 126253 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (106887 9611 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (96518 22571 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (92251 3693 (:REWRITE SUBLISTP-OF-CONS-RIGHT))
 (75530 3904 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (72180 72180 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (72067 18539 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (52488 3904 (:REWRITE LEN-WHEN-PREFIXP))
 (32424 32424 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (32424 32424 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (32424 32424 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (32424 32424 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (32424 32424 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (32424 32424 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (32424 32424 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (32424 32424 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (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))
 (23275 285 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (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))
 (16662 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))
 (9091 4195 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (7534 7534 (:REWRITE SUBLISTP-COMPLETE))
 (6566 658 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (5614 3809 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (5162 658 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (4256 947 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (4238 478 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3936 3936 (:TYPE-PRESCRIPTION SUBLISTP))
 (3693 3693 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (3600 400 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (3492 388 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (3442 214 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (3269 2069 (:REWRITE DEFAULT-+-2))
 (3059 2069 (:REWRITE DEFAULT-+-1))
 (2862 297 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (2850 285 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (2440 202 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1894 1894 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (1792 896 (:REWRITE DEFAULT-*-2))
 (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))
 (855 95 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (855 95 (:REWRITE CONSP-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))
 (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))
 (570 95 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (475 95 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (404 404 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (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 SET::NONEMPTY-MEANS-SET))
 (158 158 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (95 95 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (95 95 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (95 95 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (95 95 (:REWRITE SET::IN-SET))
 (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
 (140 57 (:REWRITE DEFAULT-CAR))
 (64 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (44 44 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (44 44 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (44 44 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (44 44 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (44 44 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (44 44 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (44 44 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (44 44 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (41 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (33 16 (:REWRITE DEFAULT-CDR))
 (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))
 (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
 (107 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (76 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (38 13 (:REWRITE DEFAULT-CAR))
 (35 10 (:REWRITE DEFAULT-CDR))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (23 23 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (20 1 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (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
 (449 141 (:REWRITE DEFAULT-CAR))
 (138 10 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (134 52 (:REWRITE DEFAULT-CDR))
 (93 93 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (93 93 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (93 93 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (93 93 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (93 93 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (93 93 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (93 93 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (93 93 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (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
 (96 23 (:REWRITE DEFAULT-CAR))
 (36 11 (:REWRITE DEFAULT-CDR))
 (21 21 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (21 21 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (21 21 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (21 21 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (21 21 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (21 21 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (21 21 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (21 21 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (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))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 )
(ALISTP-OF-HIFAT-TAR-NAME-LIST-ALIST
 (655 32 (:DEFINITION BINARY-APPEND))
 (519 21 (:DEFINITION LEN))
 (513 64 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (303 20 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (240 20 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (211 66 (:REWRITE DEFAULT-CDR))
 (169 169 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (169 169 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (169 169 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (169 169 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (169 169 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (169 169 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (169 169 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (169 169 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (84 24 (:REWRITE STR::CONSP-OF-EXPLODE))
 (67 66 (:REWRITE DEFAULT-CAR))
 (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))
 (36 36 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (34 31 (:REWRITE DEFAULT-+-1))
 (34 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (24 12 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (22 1 (:REWRITE CONSP-OF-APPEND))
 (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))
 (16 1 (:REWRITE HONS-DUPLICITY-ALIST-P-OF-CONS))
 (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 LIST-FIX-WHEN-NOT-CONSP))
 (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))
 (6 2 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (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 2 (:TYPE-PRESCRIPTION BINARY-APPEND))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-2
 (555 25 (:DEFINITION LEN))
 (436 8 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (404 1 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (278 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (266 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (203 26 (:REWRITE DEFAULT-CDR))
 (192 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (184 4 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (175 5 (:REWRITE LENGTH-WHEN-STRINGP))
 (110 1 (:DEFINITION NTHCDR))
 (102 102 (:TYPE-PRESCRIPTION LEN))
 (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))
 (41 41 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (41 41 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (41 41 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (41 41 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (41 41 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (41 41 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (41 41 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (41 41 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (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
 (695 14 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (551 22 (:DEFINITION LEN))
 (396 36 (:REWRITE CONSP-OF-STRIP-CARS))
 (339 23 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (336 23 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (273 7 (:REWRITE SUBSETP-MEMBER . 1))
 (272 272 (:TYPE-PRESCRIPTION HIFAT-TAR-NAME-LIST-ALIST))
 (269 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (264 12 (:REWRITE MEMBER-WHEN-ATOM))
 (257 35 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (242 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (219 12 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (208 21 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (207 18 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (195 195 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (195 195 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (195 195 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (195 195 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (195 195 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (195 195 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (195 195 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (195 195 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (194 37 (:REWRITE DEFAULT-CDR))
 (161 29 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (149 52 (:REWRITE DEFAULT-CAR))
 (144 15 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (121 34 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (91 26 (:REWRITE STR::CONSP-OF-EXPLODE))
 (67 13 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (58 58 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (57 32 (:REWRITE DEFAULT-+-2))
 (53 13 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (52 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (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))
 (35 1 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (34 34 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (26 13 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (22 22 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (22 1 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (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))
 (16 1 (:REWRITE LEN-OF-STRIP-CARS))
 (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))
 (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
 (113 9 (:DEFINITION BINARY-APPEND))
 (108 48 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (90 18 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (48 48 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (24 24 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (24 24 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (24 24 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (24 24 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (24 24 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (24 24 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (24 24 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (24 24 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (20 20 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (18 18 (:REWRITE DEFAULT-CAR))
 (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
 (10472 155 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (8458 26 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (8072 130 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (7292 39 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (5732 130 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4459 63 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (4002 9 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (3633 157 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (3570 24 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2081 112 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1404 130 (:REWRITE LEN-WHEN-PREFIXP))
 (920 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (894 894 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (783 5 (:REWRITE TAKE-WHEN-PREFIXP))
 (782 45 (:REWRITE ZP-OPEN))
 (774 63 (:REWRITE NFIX-WHEN-ZP))
 (752 752 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (752 752 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (752 752 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (752 752 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (752 752 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (752 752 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (752 752 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (752 752 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (680 368 (:REWRITE DEFAULT-+-2))
 (674 238 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (663 115 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (646 115 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (565 42 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (516 172 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (516 172 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (432 48 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (430 8 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (402 225 (:REWRITE DEFAULT-<-2))
 (388 368 (:REWRITE DEFAULT-+-1))
 (366 37 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (348 225 (:REWRITE DEFAULT-<-1))
 (344 344 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (344 344 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (344 42 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (309 103 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (303 39 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (292 5 (:REWRITE LEN-OF-NTHCDR))
 (288 9 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (287 39 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (250 36 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (228 38 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (205 19 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (190 38 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (188 4 (:REWRITE SUBSETP-OF-CONS))
 (172 172 (:LINEAR POSITION-WHEN-MEMBER))
 (172 172 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (172 20 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (171 171 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (157 157 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (155 155 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (144 16 (:REWRITE CONSP-OF-LIST-FIX))
 (144 9 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (135 135 (:TYPE-PRESCRIPTION SUBLISTP))
 (135 15 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (112 4 (:REWRITE SUBSETP-CONS-2))
 (104 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (84 4 (:REWRITE SET-EQUIV-OF-NIL))
 (81 9 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (80 80 (:TYPE-PRESCRIPTION D-E-P))
 (80 80 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (79 5 (:REWRITE TAKE-OF-LEN-FREE))
 (76 76 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (76 38 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (76 4 (:DEFINITION ATOM))
 (69 69 (:REWRITE DEFAULT-CAR))
 (56 4 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (52 8 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (44 44 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP))
 (44 44 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP))
 (39 39 (:REWRITE SUBLISTP-COMPLETE))
 (38 38 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (38 38 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (38 38 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (38 38 (:REWRITE SET::IN-SET))
 (36 36 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (32 16 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (29 5 (:REWRITE TAKE-WHEN-ATOM))
 (27 27 (:TYPE-PRESCRIPTION ZP))
 (27 1 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (25 25 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (24 24 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (20 20 (:REWRITE SUBSETP-TRANS2))
 (20 20 (:REWRITE SUBSETP-TRANS))
 (19 19 (:REWRITE NTH-WHEN-PREFIXP))
 (16 16 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (15 15 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (15 5 (:DEFINITION NATP))
 (13 1 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (10 5 (:REWRITE DEFAULT-UNARY-MINUS))
 (10 2 (:LINEAR NTH-WHEN-D-E-P))
 (9 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (9 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (8 8 (:REWRITE SUBSETP-NIL))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (8 8 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (5 5 (:TYPE-PRESCRIPTION NATP))
 (5 5 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (5 5 (:REWRITE TAKE-OF-TOO-MANY))
 (1 1 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (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
 (373 1 (:DEFINITION PREFIXP))
 (333 2 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (313 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (288 22 (:DEFINITION LEN))
 (100 4 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (98 18 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (77 7 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (73 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (67 67 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (67 67 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (67 67 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (67 67 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (67 67 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (67 67 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (67 67 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (67 67 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (67 2 (:REWRITE LEN-OF-APPEND))
 (58 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (58 2 (:DEFINITION BINARY-APPEND))
 (55 28 (:REWRITE DEFAULT-+-2))
 (54 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (53 4 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (49 1 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (36 4 (:REWRITE CONSP-OF-LIST-FIX))
 (36 4 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (36 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (35 3 (:REWRITE CONSP-OF-APPEND))
 (34 34 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (34 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (33 28 (:REWRITE DEFAULT-+-1))
 (30 1 (:REWRITE NFIX-WHEN-ZP))
 (28 4 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (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))
 (18 9 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (18 3 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (18 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (18 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (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))
 (14 14 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (12 12 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (9 9 (:TYPE-PRESCRIPTION BINARY-APPEND))
 (9 6 (:REWRITE DEFAULT-<-1))
 (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 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 DEFAULT-CAR))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (3 3 (:REWRITE SET::IN-SET))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP))
 (2 2 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP))
 (2 1 (:REWRITE CAR-OF-APPEND))
 (1 1 (:TYPE-PRESCRIPTION ZP))
 (1 1 (:REWRITE SUBLISTP-COMPLETE))
 )
(PREFIXP-OF-APPEND-WHEN-SAME-LENGTH
 (146835 10 (:REWRITE PREFIXP-OF-APPEND-ARG1))
 (119889 856 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (108976 334 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (89212 245 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (83717 3 (:REWRITE PREFIXP-OF-CONS-LEFT))
 (79036 157 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (60950 4424 (:REWRITE DEFAULT-CDR))
 (52044 856 (:REWRITE LEN-WHEN-PREFIXP))
 (47276 1362 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (31062 924 (:REWRITE DEFAULT-CAR))
 (30288 1616 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (16635 2573 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (11106 11106 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (9567 23 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (9391 1368 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (7629 9 (:REWRITE TAKE-WHEN-PREFIXP))
 (7406 7406 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (7406 7406 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (7406 7406 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (7406 7406 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (7406 7406 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (7406 7406 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (7406 7406 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (7406 7406 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (6944 5232 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (6706 43 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (6316 98 (:REWRITE CONSP-OF-NTHCDR))
 (5607 1869 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (5607 1869 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (5530 537 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (5494 537 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (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))
 (4604 107 (:DEFINITION NTHCDR))
 (4329 2367 (:REWRITE DEFAULT-+-2))
 (3738 3738 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (3738 3738 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3339 334 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3122 221 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (2795 8 (:REWRITE TAKE-OF-TOO-MANY))
 (2754 2754 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2753 1494 (:REWRITE DEFAULT-<-2))
 (2550 125 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (2446 2367 (:REWRITE DEFAULT-+-1))
 (2427 1494 (:REWRITE DEFAULT-<-1))
 (2054 1392 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (2028 1391 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1946 7 (:REWRITE NTHCDR-OF-CDR))
 (1869 1869 (:LINEAR POSITION-WHEN-MEMBER))
 (1869 1869 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1596 124 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1473 248 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1392 1392 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (1239 86 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1228 248 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (1157 33 (:REWRITE LEN-OF-APPEND))
 (1153 86 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1002 501 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
 (994 122 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (884 43 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (758 86 (:REWRITE CONSP-OF-LIST-FIX))
 (743 375 (:REWRITE NFIX-WHEN-NATP))
 (701 29 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
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 (501 501 (:TYPE-PRESCRIPTION BINARY-APPEND))
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 (490 490 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (490 245 (:REWRITE SET::NONEMPTY-MEANS-SET))
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 (334 334 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (334 334 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
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 (86 86 (:REWRITE SUBSETP-TRANS2))
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 (31 31 (:TYPE-PRESCRIPTION NFIX))
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 (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
 (13548 153 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (11296 608 (:DEFINITION LEN))
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 (9175 53 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
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 (5948 153 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
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 (2821 2821 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
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 (2821 2821 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (2821 2821 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
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 (1264 1264 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
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 (892 166 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
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 (828 276 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
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 (741 156 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (671 344 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (668 7 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (666 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (631 199 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (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))
 (454 32 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (450 438 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (448 18 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (438 438 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (424 20 (:REWRITE CONSP-OF-APPEND))
 (406 41 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (390 78 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (390 78 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (384 16 (:REWRITE CAR-OF-APPEND))
 (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))
 (297 29 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (295 50 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (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))
 (235 10 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (211 211 (:TYPE-PRESCRIPTION SUBLISTP))
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 (205 205 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (198 66 (:REWRITE FOLD-CONSTS-IN-+))
 (160 7 (:REWRITE LEN-OF-APPEND))
 (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))
 (141 3 (:REWRITE SUBSETP-OF-CONS))
 (122 122 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
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 (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))
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 (28 7 (:REWRITE COMMUTATIVITY-OF-+))
 (18 3 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (15 15 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (15 3 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (9 3 (:REWRITE CONSP-OF-ASSOC-EQUAL-OF-APPEND))
 (6 6 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (6 6 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
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 (6 6 (:REWRITE SUBSETP-NIL))
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 (6 6 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (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 SET::EMPTYP-TYPE))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (3 3 (:REWRITE SET::IN-SET))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-6
 (249480 21306 (:REWRITE DEFAULT-CDR))
 (193733 12053 (:REWRITE STR::CONSP-OF-EXPLODE))
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 (160189 1658 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (127864 2048 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (108911 829 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (106630 167 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (68299 1610 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (65590 829 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (54255 1832 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
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 (36721 2048 (:REWRITE LEN-WHEN-PREFIXP))
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 (27733 27733 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
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 (864 68 (:REWRITE FAT32-FILENAME-LIST-FIX-WHEN-FAT32-FILENAME-LIST-P))
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 (495 165 (:REWRITE FOLD-CONSTS-IN-+))
 (422 422 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (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 SET::NONEMPTY-MEANS-SET))
 (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))
 (342 18 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (292 292 (:REWRITE SUBSETP-NIL))
 (280 280 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-OF-SELF))
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 (144 144 (:REWRITE FAT32-FILENAME-LIST-P-OF-FAT32-FILENAME-LIST-FIX))
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 (72 4 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (52 52 (:REWRITE FAT32-FILENAME-LIST-P-OF-GET-NAMES-FROM-DIRP))
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 (4 4 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP))
 (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
 (2235 119 (:DEFINITION LEN))
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 (722 25 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
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 (594 27 (:DEFINITION STRIP-CARS))
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 (578 34 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (575 13 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (546 6 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (543 27 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (526 99 (:REWRITE DEFAULT-CAR))
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 (497 497 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (497 497 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (497 497 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (497 497 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (497 497 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (402 27 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (372 185 (:REWRITE DEFAULT-CDR))
 (336 21 (:REWRITE LEN-OF-STRIP-CARS))
 (315 176 (:REWRITE DEFAULT-+-2))
 (315 48 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (283 283 (:TYPE-PRESCRIPTION STRIP-CARS))
 (248 19 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (244 244 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (242 21 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (216 9 (:REWRITE LEN-OF-APPEND))
 (207 5 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (187 27 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (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))
 (181 10 (:REWRITE LEN-WHEN-PREFIXP))
 (173 12 (:REWRITE MEMBER-WHEN-ATOM))
 (161 21 (:REWRITE NFIX-WHEN-ZP))
 (150 3 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (147 7 (:DEFINITION BINARY-APPEND))
 (128 1 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (126 26 (:REWRITE ZP-OPEN))
 (126 14 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (122 122 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (122 122 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (120 80 (:REWRITE DEFAULT-<-2))
 (120 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (111 12 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (108 12 (:REWRITE CONSP-OF-LIST-FIX))
 (106 27 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (99 3 (:REWRITE SUBSETP-OF-CONS))
 (97 80 (:REWRITE DEFAULT-<-1))
 (96 3 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (84 3 (:REWRITE SUBSETP-CONS-2))
 (78 5 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (78 2 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (72 3 (:DEFINITION ASSOC-EQUAL))
 (68 68 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (67 7 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (66 7 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (63 3 (:REWRITE SET-EQUIV-OF-NIL))
 (62 7 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (61 61 (:LINEAR POSITION-WHEN-MEMBER))
 (61 61 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (57 3 (:DEFINITION ATOM))
 (50 50 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (48 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (40 40 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (39 1 (:REWRITE MEMBER-EQUAL-NTH))
 (36 36 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (36 9 (:REWRITE COMMUTATIVITY-OF-+))
 (36 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (33 33 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (31 31 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (29 1 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (27 18 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (27 3 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (22 22 (:REWRITE NTH-WHEN-PREFIXP))
 (22 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (22 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-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))
 (20 1 (:REWRITE FILE-TABLE-P-CORRECTNESS-1))
 (20 1 (:REWRITE FD-TABLE-P-CORRECTNESS-1))
 (20 1 (:REWRITE DIR-STREAM-TABLE-P-CORRECTNESS-1))
 (18 3 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (18 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (15 15 (:REWRITE SUBSETP-MEMBER . 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-ATOM-UNDER-LIST-EQUIV))
 (13 2 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (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 1 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (12 1 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (11 11 (:REWRITE SUBLISTP-COMPLETE))
 (10 10 (:TYPE-PRESCRIPTION D-E-P))
 (10 10 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (10 2 (:LINEAR NTH-WHEN-D-E-P))
 (9 9 (:REWRITE CDR-CONS))
 (9 1 (:REWRITE NAT-LISTP-OF-STRIP-CARS-WHEN-DIR-STREAM-TABLE-P))
 (9 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (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 SET::NONEMPTY-MEANS-SET))
 (4 4 (:TYPE-PRESCRIPTION DIR-STREAM-TABLE-P))
 (4 4 (:REWRITE DIR-STREAM-TABLE-P-WHEN-SUBSETP-EQUAL))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTYP-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 TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (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 BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(LEMMA-1
 (1273 85 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1018 11 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (736 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (625 5 (:REWRITE HIFAT-FIND-FILE-OF-APPEND-1))
 (604 49 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (602 8 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (508 50 (:REWRITE CONSP-OF-STRIP-CARS))
 (465 31 (:DEFINITION LEN))
 (434 8 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (430 5 (:REWRITE SUBSETP-APPEND1))
 (403 12 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (390 12 (:REWRITE CONSP-OF-REPEAT))
 (384 6 (:REWRITE CONSP-OF-APPEND))
 (308 14 (:DEFINITION STRIP-CARS))
 (305 5 (:REWRITE SUBSETP-OF-TAKE))
 (300 7 (:DEFINITION BINARY-APPEND))
 (235 235 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (235 235 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (235 235 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (235 235 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (235 235 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (235 235 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (235 235 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (235 235 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (235 5 (:REWRITE TAKE-OF-LEN-FREE))
 (233 144 (:REWRITE DEFAULT-<-2))
 (228 228 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (186 60 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (180 60 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (180 38 (:REWRITE DEFAULT-CAR))
 (172 4 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (152 144 (:REWRITE DEFAULT-<-1))
 (151 8 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (145 145 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (140 8 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (138 19 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (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))
 (112 7 (:REWRITE TAKE-WHEN-ATOM))
 (110 67 (:REWRITE DEFAULT-+-2))
 (105 15 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (100 20 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (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))
 (89 7 (:REWRITE MEMBER-WHEN-ATOM))
 (82 26 (:REWRITE NFIX-WHEN-ZP))
 (78 2 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-RIGHT))
 (76 2 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (75 53 (:REWRITE DEFAULT-CDR))
 (75 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (67 67 (:REWRITE DEFAULT-+-1))
 (66 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (62 2 (:REWRITE HIFAT-OPENDIR-CORRECTNESS-LEMMA-2))
 (61 6 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (60 60 (:LINEAR POSITION-WHEN-MEMBER))
 (60 60 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (60 2 (:REWRITE REPEAT-WHEN-ZP))
 (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))
 (50 6 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (50 1 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (49 49 (:REWRITE SUBSETP-TRANS2))
 (49 49 (:REWRITE SUBSETP-TRANS))
 (49 2 (:REWRITE SET-EQUIV-WITH-APPEND-OTHER-LEFT))
 (45 5 (:DEFINITION ATOM))
 (41 7 (:REWRITE INTERSECTP-MEMBER . 2))
 (40 2 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (39 1 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (38 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (36 8 (:REWRITE CONSP-OF-TAKE))
 (35 35 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (30 30 (:TYPE-PRESCRIPTION REPEAT))
 (25 25 (:REWRITE SUBSETP-MEMBER . 1))
 (24 1 (:DEFINITION ASSOC-EQUAL))
 (23 23 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (22 22 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (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))
 (18 18 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION 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))
 (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))
 (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
 (156 1 (:REWRITE TAKE-WHEN-PREFIXP))
 (146 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (142 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (125 1 (:REWRITE HIFAT-FIND-FILE-OF-APPEND-1))
 (106 7 (:DEFINITION LEN))
 (88 1 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (79 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (66 6 (:REWRITE CONSP-OF-STRIP-CARS))
 (57 3 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (49 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (48 48 (:TYPE-PRESCRIPTION HIFAT-TAR-NAME-LIST-ALIST))
 (48 4 (:REWRITE ZP-OPEN))
 (44 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (44 2 (:DEFINITION STRIP-CARS))
 (36 36 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (36 36 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (36 36 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (36 36 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (36 36 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (36 36 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (36 36 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (36 36 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (34 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (34 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (31 2 (:REWRITE NFIX-WHEN-ZP))
 (29 29 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (25 3 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (24 4 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (22 1 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (22 1 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (21 5 (:REWRITE DEFAULT-CAR))
 (21 3 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (20 11 (:REWRITE DEFAULT-+-2))
 (20 4 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (20 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (20 1 (:DEFINITION BINARY-APPEND))
 (19 4 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (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 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (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 FAT32-FILENAME-P-CORRECTNESS-1))
 (9 1 (:REWRITE MEMBER-WHEN-ATOM))
 (9 1 (:DEFINITION ATOM))
 (7 7 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (6 6 (:REWRITE DEFAULT-<-1))
 (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))
 (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 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))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-9
 (176 8 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (169 7 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (110 5 (:DEFINITION STRIP-CARS))
 (76 1 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (67 9 (:DEFINITION LEN))
 (65 17 (:REWRITE DEFAULT-CAR))
 (56 4 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (55 1 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (53 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-1))
 (50 1 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (37 3 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (31 2 (:REWRITE MEMBER-WHEN-ATOM))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (28 28 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (25 16 (:REWRITE DEFAULT-+-2))
 (24 1 (:DEFINITION ASSOC-EQUAL))
 (22 2 (:REWRITE CONSP-OF-STRIP-CARS))
 (22 1 (:REWRITE SUBSETP-CAR-MEMBER))
 (22 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (20 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (18 18 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (18 3 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (17 17 (:REWRITE DEFAULT-CDR))
 (16 16 (:REWRITE DEFAULT-+-1))
 (16 1 (:REWRITE LEN-OF-STRIP-CARS))
 (13 9 (:REWRITE DEFAULT-<-2))
 (13 3 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (13 1 (:REWRITE NFIX-WHEN-ZP))
 (12 4 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (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 M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (11 1 (:REWRITE ZP-OPEN))
 (10 9 (:REWRITE DEFAULT-<-1))
 (10 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (9 1 (:REWRITE NFIX-WHEN-NATP))
 (8 8 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (8 8 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (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 1 (:DEFINITION NFIX))
 (7 1 (:DEFINITION NATP))
 (6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (6 3 (:DEFINITION FIX))
 (5 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (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))
 (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-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
 (998 12 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (719 31 (:DEFINITION LEN))
 (713 66 (:REWRITE DEFAULT-CAR))
 (690 10 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (502 2 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (462 21 (:DEFINITION STRIP-CARS))
 (447 8 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (422 14 (:REWRITE CONSP-OF-NTH-WHEN-ALISTP))
 (416 30 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (384 41 (:REWRITE ZP-OPEN))
 (346 41 (:REWRITE CONSP-OF-STRIP-CARS))
 (300 4 (:DEFINITION ALISTP))
 (269 8 (:REWRITE INTERSECTP-MEMBER . 1))
 (253 24 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (251 9 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (211 211 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (211 211 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (211 211 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (211 211 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (211 211 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (211 211 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (211 211 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (211 211 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (209 20 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (188 4 (:REWRITE TAKE-OF-LEN-FREE))
 (168 168 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (162 5 (:REWRITE CONSP-OF-REPEAT))
 (160 8 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (154 95 (:REWRITE DEFAULT-<-2))
 (146 1 (:REWRITE MEMBER-OF-APPEND))
 (136 8 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (136 4 (:REWRITE SUBSETP-OF-REPEAT))
 (131 3 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (128 2 (:REWRITE CONSP-OF-APPEND))
 (125 41 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (123 41 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (121 66 (:REWRITE DEFAULT-CDR))
 (111 8 (:REWRITE MEMBER-WHEN-ATOM))
 (109 1 (:REWRITE SUBSETP-APPEND1))
 (104 63 (:REWRITE DEFAULT-+-2))
 (100 2 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (100 1 (:DEFINITION BINARY-APPEND))
 (99 3 (:REWRITE MEMBER-OF-REPEAT))
 (97 95 (:REWRITE DEFAULT-<-1))
 (96 3 (:REWRITE REPEAT-UNDER-IFF))
 (86 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (84 14 (:REWRITE NFIX-WHEN-ZP))
 (82 82 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (82 82 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (72 7 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (72 4 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (72 3 (:DEFINITION ASSOC-EQUAL))
 (67 4 (:REWRITE TAKE-WHEN-ATOM))
 (66 3 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (65 2 (:REWRITE CONSP-OF-ASSOC-OF-NTH-OF-STRIP-CARS))
 (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))
 (58 6 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (57 8 (:REWRITE CONSP-OF-TAKE))
 (49 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (49 3 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (48 8 (:REWRITE INTERSECTP-MEMBER . 2))
 (44 13 (:REWRITE SUBSETP-MEMBER . 1))
 (41 41 (:LINEAR POSITION-WHEN-MEMBER))
 (41 41 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (39 1 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (36 3 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (31 7 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (30 1 (:REWRITE REPEAT-WHEN-ZP))
 (24 24 (:REWRITE SUBSETP-TRANS2))
 (24 24 (:REWRITE SUBSETP-TRANS))
 (20 20 (:TYPE-PRESCRIPTION ALISTP))
 (20 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (16 16 (:TYPE-PRESCRIPTION TAKE))
 (16 16 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (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))
 (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))
 (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))
 (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
 (156 1 (:REWRITE TAKE-WHEN-PREFIXP))
 (142 2 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (106 7 (:DEFINITION LEN))
 (88 1 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (79 2 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (66 6 (:REWRITE CONSP-OF-STRIP-CARS))
 (57 3 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (49 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (48 48 (:TYPE-PRESCRIPTION HIFAT-TAR-NAME-LIST-ALIST))
 (44 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (44 2 (:DEFINITION STRIP-CARS))
 (40 2 (:REWRITE ZP-OPEN))
 (34 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (34 2 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (31 2 (:REWRITE NFIX-WHEN-ZP))
 (30 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (29 29 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (29 29 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (29 29 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (29 29 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (29 29 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (29 29 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (29 29 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (29 29 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (25 3 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (22 1 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-RIGHT))
 (22 1 (:REWRITE INTERSECTP-EQUAL-OF-ATOM-LEFT))
 (20 11 (:REWRITE DEFAULT-+-2))
 (20 4 (:REWRITE DEFAULT-CAR))
 (20 1 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (12 12 (:TYPE-PRESCRIPTION STRIP-CARS))
 (12 11 (:REWRITE DEFAULT-+-1))
 (12 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (9 9 (:REWRITE DEFAULT-CDR))
 (9 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (9 1 (:REWRITE MEMBER-WHEN-ATOM))
 (8 4 (:REWRITE DEFAULT-<-2))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (4 4 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (4 4 (:REWRITE DEFAULT-<-1))
 (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 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
 (320 8 (:DEFINITION ASSOC-EQUAL))
 (276 8 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (208 24 (:REWRITE DEFAULT-CAR))
 (84 6 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (84 6 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (72 16 (:REWRITE DEFAULT-CDR))
 (60 4 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (60 4 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (54 6 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (54 6 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (37 37 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (37 37 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (37 37 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (37 37 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (37 37 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (37 37 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (37 37 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (37 37 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (37 4 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (16 16 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (14 2 (:REWRITE ZP-OPEN))
 (13 2 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (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))
 (5 5 (:REWRITE REDUCE-INTEGERP-+-CONSTANT))
 (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$INLINE))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION M1-FILE-P))
 (1 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-2))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (1 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (1 1 (:REWRITE DEFAULT-UNARY-MINUS))
 (1 1 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-12
 (4570 120 (:DEFINITION ASSOC-EQUAL))
 (3120 360 (:REWRITE DEFAULT-CAR))
 (2711 110 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (1458 50 (:DEFINITION LEN))
 (1376 102 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (1166 87 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (975 65 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (882 98 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (825 55 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (747 83 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (692 280 (:REWRITE DEFAULT-CDR))
 (574 574 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (574 574 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (574 574 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (574 574 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (574 574 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (574 574 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (574 574 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (574 574 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (528 63 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (392 72 (:REWRITE STR::CONSP-OF-EXPLODE))
 (347 5 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (333 52 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (286 114 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (214 78 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (208 4 (:DEFINITION LENGTH))
 (204 204 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$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))
 (120 5 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (108 108 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (86 86 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (86 86 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (82 70 (:REWRITE DEFAULT-+-1))
 (77 11 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (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))
 (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
 (1365 55 (:DEFINITION LEN))
 (794 24 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-13))
 (700 14 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-12))
 (595 110 (:REWRITE DEFAULT-CDR))
 (521 168 (:REWRITE DEFAULT-CAR))
 (520 520 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (362 9 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (349 24 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (342 12 (:DEFINITION BINARY-APPEND))
 (302 302 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (302 302 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (302 302 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (302 302 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (302 302 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (302 302 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (302 302 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (302 302 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (245 63 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (238 68 (:REWRITE STR::CONSP-OF-EXPLODE))
 (238 2 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (234 2 (:REWRITE HIFAT-FIND-FILE-OF-APPEND-1))
 (225 132 (:REWRITE DEFAULT-<-2))
 (168 14 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (157 132 (:REWRITE DEFAULT-<-1))
 (154 38 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (151 90 (:REWRITE DEFAULT-+-2))
 (138 7 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (128 6 (:REWRITE CONSP-OF-APPEND))
 (103 63 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (102 102 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (99 90 (:REWRITE DEFAULT-+-1))
 (96 4 (:REWRITE CAR-OF-APPEND))
 (80 10 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (68 34 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (68 2 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (58 58 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (58 58 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (53 4 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (50 50 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (48 8 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (48 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (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))
 (38 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (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))
 (24 2 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (24 2 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (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 STRINGP-WHEN-NONEMPTY-STRINGP))
 (20 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (18 6 (:REWRITE FOLD-CONSTS-IN-+))
 (18 2 (:DEFINITION ATOM))
 (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))
 (12 6 (:REWRITE APPEND-OF-CONS))
 (12 2 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (12 2 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (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))
 (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 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))
 (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
 (174845 2313 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (165030 2529 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (141126 212 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (140865 2180 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (129645 575 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (113700 2124 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (87403 5212 (:REWRITE DEFAULT-CDR))
 (84551 1293 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (72850 612 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (52468 14 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (29917 2331 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (29042 40 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (25522 2222 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (23590 2124 (:REWRITE LEN-WHEN-PREFIXP))
 (23168 2156 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (21213 2313 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (17180 17180 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (11621 11621 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (11621 11621 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (11621 11621 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (11621 11621 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (11621 11621 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (11621 11621 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (11621 11621 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (11621 11621 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (9915 43 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (9858 3286 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (9858 3286 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (9611 1463 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (9128 1224 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (7696 64 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (7018 588 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (6572 6572 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (6572 6572 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6511 121 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-13))
 (6328 560 (:REWRITE NFIX-WHEN-ZP))
 (6054 2018 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (6034 3542 (:REWRITE DEFAULT-<-2))
 (5798 3093 (:REWRITE DEFAULT-+-2))
 (5706 52 (:REWRITE HIFAT-FIND-FILE-OF-APPEND-1))
 (5632 2893 (:REWRITE DEFAULT-CAR))
 (5485 720 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (5404 141 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (5373 3542 (:REWRITE DEFAULT-<-1))
 (5041 2966 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (4739 2319 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (4671 519 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (4399 20 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (4053 121 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (4031 519 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (3967 3967 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (3650 73 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-12))
 (3344 3093 (:REWRITE DEFAULT-+-1))
 (3286 3286 (:LINEAR POSITION-WHEN-MEMBER))
 (3286 3286 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (3082 3082 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (2878 52 (:REWRITE LEN-OF-NTHCDR))
 (2756 26 (:DEFINITION NTHCDR))
 (2679 2319 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (2425 2425 (:TYPE-PRESCRIPTION SUBLISTP))
 (1715 180 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1707 81 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1604 393 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (1593 217 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (1477 422 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1393 393 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (1355 315 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1260 214 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1254 6 (:LINEAR NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-11))
 (1224 1224 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (1224 1224 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1206 194 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (1152 58 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (1137 217 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1122 162 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (1104 50 (:REWRITE LEN-OF-APPEND))
 (994 214 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (936 24 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (891 81 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (887 7 (:REWRITE TAKE-OF-TOO-MANY))
 (883 20 (:REWRITE SUBSETP-OF-CONS))
 (786 110 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (779 100 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (683 43 (:REWRITE NTH-WHEN-PREFIXP))
 (680 600 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (636 106 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (636 12 (:DEFINITION LAST))
 (633 633 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (621 77 (:REWRITE CONSP-OF-LIST-FIX))
 (621 69 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (612 612 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (600 600 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (575 575 (:REWRITE SUBLISTP-COMPLETE))
 (574 110 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (536 20 (:REWRITE SUBSETP-CONS-2))
 (530 106 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (520 104 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (520 20 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (465 81 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (422 211 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (396 20 (:REWRITE SET-EQUIV-OF-NIL))
 (376 376 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (340 340 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (319 70 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (300 40 (:REWRITE SUBSETP-CAR-MEMBER))
 (281 7 (:REWRITE TAKE-OF-LEN-FREE))
 (272 272 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (260 40 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (256 20 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (240 6 (:REWRITE NTHCDR-OF-APPEND))
 (237 79 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (224 224 (:TYPE-PRESCRIPTION D-E-P))
 (224 224 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (214 214 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (212 212 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (212 106 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (208 208 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (208 208 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (196 28 (:DEFINITION NFIX))
 (156 156 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (155 65 (:REWRITE FOLD-CONSTS-IN-+))
 (147 9 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (143 143 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (110 110 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (106 106 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (106 106 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (106 106 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (106 106 (:REWRITE SET::IN-SET))
 (104 52 (:REWRITE DEFAULT-UNARY-MINUS))
 (100 100 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (100 100 (:REWRITE SUBSETP-TRANS2))
 (100 100 (:REWRITE SUBSETP-TRANS))
 (85 85 (:REWRITE HIFAT-OPEN-CORRECTNESS-1))
 (81 3 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (69 69 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (63 7 (:REWRITE TAKE-WHEN-ATOM))
 (60 60 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (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))
 (52 52 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP))
 (52 52 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP))
 (40 40 (:REWRITE SUBSETP-NIL))
 (40 40 (:REWRITE SUBSETP-MEMBER . 1))
 (39 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (32 32 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 (30 6 (:LINEAR NTH-WHEN-D-E-P))
 (27 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (27 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (18 18 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (18 6 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (12 12 (:REWRITE LIST-EQUIV-OF-CONS-AND-CONS))
 (3 3 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (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
 (2932 37 (:REWRITE ZP-OPEN))
 (1964 42 (:REWRITE CONSP-OF-REPEAT))
 (1350 1 (:REWRITE MAKE-D-E-LIST-OF-APPEND-2))
 (1338 9 (:REWRITE REPEAT-WHEN-ZP))
 (1260 224 (:REWRITE DEFAULT-CDR))
 (1152 18 (:DEFINITION BINARY-APPEND))
 (1057 2 (:REWRITE CHARACTER-LISTP-APPEND))
 (1023 3 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-CHARACTER-LISTP))
 (993 52 (:REWRITE STR::CHARACTER-LISTP-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (965 25 (:DEFINITION CHARACTER-LISTP))
 (919 31 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (883 52 (:REWRITE STR::CHARACTER-LISTP-WHEN-DEC-DIGIT-CHAR-LIST*P))
 (762 12 (:REWRITE STR::CONSP-OF-MAKE-CHARACTER-LIST))
 (645 5 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-REPEAT))
 (645 5 (:REWRITE STR::DEC-DIGIT-CHAR-LIST*P-OF-REPEAT))
 (618 3 (:REWRITE STR::MAKE-CHARACTER-LIST-WHEN-ATOM))
 (522 206 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (483 105 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (427 21 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (396 1 (:REWRITE MAKE-D-E-LIST-OF-APPEND-1))
 (391 1 (:REWRITE D-E-P-OF-CHARS=>NATS))
 (362 179 (:REWRITE DEFAULT-+-2))
 (350 58 (:REWRITE DEFAULT-CAR))
 (347 123 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (345 345 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (345 345 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (345 345 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (345 345 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (345 345 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (345 345 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (345 345 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (345 345 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (224 16 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (208 208 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (195 1 (:REWRITE NFIX-WHEN-ZP))
 (191 1 (:REWRITE NFIX-WHEN-NATP))
 (187 1 (:DEFINITION NATP))
 (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))
 (158 3 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-APPEND))
 (150 76 (:REWRITE DEFAULT-<-2))
 (146 3 (:REWRITE STR::DEC-DIGIT-CHAR-LIST*P-OF-APPEND))
 (144 16 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (138 138 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (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))
 (106 104 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-WHEN-SUBSETP-EQUAL))
 (102 102 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (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-LIST*P))
 (66 66 (:TYPE-PRESCRIPTION STR::DEC-DIGIT-CHAR-LIST*P))
 (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-LIST*P-WHEN-NOT-CONSP))
 (57 49 (:REWRITE STR::DEC-DIGIT-CHAR-LIST*P-WHEN-NOT-CONSP))
 (57 41 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-CONS))
 (53 41 (:REWRITE STR::DEC-DIGIT-CHAR-LIST*P-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))
 (15 3 (:DEFINITION UNSIGNED-BYTE-P))
 (12 3 (:DEFINITION INTEGER-RANGE-P))
 (10 5 (:REWRITE STR::HEX-DIGIT-CHAR-LIST*P-OF-CDR-WHEN-HEX-DIGIT-CHAR-LIST*P))
 (10 5 (:REWRITE STR::DEC-DIGIT-CHAR-LIST*P-OF-CDR-WHEN-DEC-DIGIT-CHAR-LIST*P))
 (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-LIST*P))
 (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
 (37043 1855 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (29560 1183 (:DEFINITION ASSOC-EQUAL))
 (24948 76 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (15629 291 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (14121 595 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (13515 3979 (:REWRITE DEFAULT-CAR))
 (6897 16 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (6670 85 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (4665 4665 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (4665 4665 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (4665 4665 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (4665 4665 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (4665 4665 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (4665 4665 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (4665 4665 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (4665 4665 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (4503 524 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (4149 3855 (:REWRITE DEFAULT-CDR))
 (3704 3704 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (3303 43 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (3248 232 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (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))
 (2088 232 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1934 1934 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (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))
 (1322 274 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1210 242 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1113 62 (:DEFINITION BINARY-APPEND))
 (1020 204 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (915 43 (:DEFINITION LEN))
 (768 256 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (750 15 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-12))
 (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))
 (516 18 (:REWRITE LENGTH-WHEN-STRINGP))
 (484 484 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (464 464 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (375 9 (:DEFINITION ALIST-SHIFT))
 (289 289 (:TYPE-PRESCRIPTION M1-FILE-P))
 (285 85 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (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 HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (232 232 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (219 123 (:REWRITE DEFAULT-<-2))
 (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))
 (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-+))
 (22 2 (:REWRITE APPEND-UNDER-IFF))
 (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-+))
 (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
 (1414 69 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (1252 126 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1112 530 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1066 80 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (989 56 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (986 89 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (870 24 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (769 25 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (724 218 (:REWRITE DEFAULT-CAR))
 (694 30 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (689 265 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (636 80 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (514 173 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (467 163 (:REWRITE DEFAULT-CDR))
 (465 49 (:REWRITE M1-FILE-P-OF-CDAR-WHEN-M1-FILE-ALIST-P))
 (371 69 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (366 366 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (350 25 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (304 304 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (294 25 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (275 275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (275 275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (275 275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (275 275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (275 275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (275 275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (275 275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (275 275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (240 80 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (225 25 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (201 201 (:TYPE-PRESCRIPTION M1-FILE-P))
 (197 69 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (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))
 (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-TRANS2))
 (69 69 (:REWRITE SUBSETP-TRANS))
 (68 30 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (64 32 (:REWRITE M1-FILE->CONTENTS$INLINE-OF-M1-FILE-FIX-X))
 (50 50 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (50 50 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (50 50 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (48 48 (:REWRITE CDR-CONS))
 (35 35 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (31 31 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (30 30 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (24 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (23 23 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (18 18 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (16 16 (:REWRITE M1-FILE->D-E$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))
 (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
 (3390 31 (:DEFINITION SUBSETP-EQUAL))
 (1995 115 (:REWRITE SUBSETP-TRANS))
 (851 115 (:REWRITE SUBSETP-TRANS2))
 (823 115 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (731 19 (:REWRITE MEMBER-OF-STRIP-CARS))
 (669 145 (:REWRITE DEFAULT-CAR))
 (584 26 (:DEFINITION ASSOC-EQUAL))
 (436 35 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (409 93 (:REWRITE DEFAULT-CDR))
 (407 95 (:REWRITE CONSP-OF-STRIP-CARS))
 (384 32 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (320 16 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (315 315 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (315 315 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (315 315 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (315 315 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (315 315 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (315 315 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (315 315 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (315 315 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (306 306 (:TYPE-PRESCRIPTION STRIP-CARS))
 (254 15 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (200 8 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (192 64 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (177 7 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (160 8 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (144 16 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (144 16 (:REWRITE HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (140 36 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (140 7 (:REWRITE MEMBER-WHEN-ATOM))
 (131 31 (:REWRITE SUBSETP-CAR-MEMBER))
 (130 38 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (128 128 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (127 19 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (112 24 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (106 64 (:REWRITE DEFAULT-+-2))
 (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-SUBSETP-WHEN-ATOM))
 (80 4 (:DEFINITION STRIP-CARS))
 (70 70 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (70 70 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (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))
 (30 10 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (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-TRANSITIVE))
 (16 16 (:REWRITE FOLD-CONSTS-IN-+))
 (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
 (4164 206 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (3695 148 (:DEFINITION ASSOC-EQUAL))
 (2168 69 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (1745 561 (:REWRITE DEFAULT-CAR))
 (1471 10 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (1426 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (1268 317 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (1195 63 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (1147 595 (:REWRITE DEFAULT-CDR))
 (1119 14 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (1034 22 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (1029 7 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (933 933 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (847 43 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (714 31 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (676 8 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (674 14 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (661 661 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (661 661 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (661 661 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (661 661 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (661 661 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (661 661 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (661 661 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (661 661 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (661 69 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (644 28 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (628 68 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (493 41 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (412 412 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (400 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))
 (333 45 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (320 14 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (320 4 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (317 317 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (300 20 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (288 41 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (280 140 (:REWRITE DEFAULT-+-2))
 (268 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (258 258 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (253 28 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (224 224 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (215 43 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (189 14 (:REWRITE LEN-WHEN-PREFIXP))
 (170 28 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (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))
 (115 23 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (114 66 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (114 34 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (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))
 (76 28 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (76 28 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (70 70 (:TYPE-PRESCRIPTION PREFIXP))
 (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 (:LINEAR POSITION-WHEN-MEMBER))
 (45 45 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (39 7 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (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-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))
 (23 7 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (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))
 (18 10 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (16 16 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (16 8 (:REWRITE DEFAULT-*-2))
 (15 9 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (8 8 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (8 8 (:REWRITE DEFAULT-*-1))
 (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))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 )
(NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-30
 (44311 832 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (26221 268 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (12581 5258 (:REWRITE DEFAULT-CAR))
 (10740 1147 (:REWRITE NFIX-WHEN-ZP))
 (9693 40 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (9417 714 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (8826 20 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (8493 8493 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (8493 8493 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (8493 8493 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (8493 8493 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (8493 8493 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (8493 8493 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (8493 8493 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (8493 8493 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (5863 858 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (5700 2968 (:REWRITE DEFAULT-+-2))
 (5613 832 (:REWRITE LEN-WHEN-PREFIXP))
 (4728 536 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3944 2029 (:REWRITE DEFAULT-<-2))
 (3786 527 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (3554 3554 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (3554 3554 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3195 9 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (3037 2968 (:REWRITE DEFAULT-+-1))
 (2954 7 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (2878 2029 (:REWRITE DEFAULT-<-1))
 (2647 1072 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2502 56 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (2384 122 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (2295 255 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (2199 255 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (2193 109 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (2176 616 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2002 154 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (1978 452 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (1856 362 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (1777 1777 (:LINEAR POSITION-WHEN-MEMBER))
 (1688 222 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1526 28 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (1512 168 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (1429 185 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (1305 435 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1132 75 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1109 423 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (1092 182 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (1074 444 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1061 118 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (1023 378 (:REWRITE STR::CONSP-OF-EXPLODE))
 (1017 9 (:REWRITE SUBSETP-OF-CONS))
 (990 110 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (990 110 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (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))
 (828 9 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (756 756 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (752 156 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (581 14 (:REWRITE LEN-OF-NTHCDR))
 (567 567 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (536 536 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (536 536 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (532 14 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (518 14 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (512 5 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (511 23 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (486 54 (:REWRITE CONSP-OF-LIST-FIX))
 (473 198 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (409 229 (:REWRITE NTH-WHEN-PREFIXP))
 (382 18 (:REWRITE CONSP-OF-APPEND))
 (360 72 (:REWRITE CONSP-OF-STRIP-CARS))
 (336 14 (:REWRITE CAR-OF-APPEND))
 (315 140 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (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))
 (290 189 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (290 40 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (268 268 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (268 23 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (266 266 (:REWRITE SUBLISTP-COMPLETE))
 (252 18 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (252 9 (:REWRITE SUBSETP-CONS-2))
 (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))
 (195 23 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (190 30 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (189 9 (:REWRITE SET-EQUIV-OF-NIL))
 (182 182 (:TYPE-PRESCRIPTION ATOM))
 (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))
 (156 18 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (141 6 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (131 131 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (126 9 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (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))
 (104 104 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-15))
 (96 16 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (84 7 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (80 16 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (74 1 (:REWRITE WHEN-APPEND-SAME))
 (56 56 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (56 28 (:REWRITE DEFAULT-*-2))
 (54 18 (:REWRITE CDR-OF-LIST-FIX))
 (50 2 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (45 5 (:REWRITE TAKE-WHEN-ATOM))
 (44 44 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (44 44 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (39 1 (:DEFINITION LAST))
 (36 18 (:REWRITE CAR-OF-LIST-FIX))
 (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 SET::NONEMPTY-MEANS-SET))
 (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))
 (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 SET::EMPTYP-TYPE))
 (16 16 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (16 16 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-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))
 (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
 (4888 1810 (:REWRITE DEFAULT-CDR))
 (3128 1229 (:REWRITE DEFAULT-CAR))
 (2350 85 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (2275 2275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (2275 2275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (2275 2275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (2275 2275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (2275 2275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (2275 2275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (2275 2275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (2275 2275 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (1928 136 (:REWRITE SUBSETP-CAR-MEMBER))
 (1840 300 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1834 506 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1592 144 (:REWRITE MEMBER-WHEN-ATOM))
 (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))
 (1036 16 (:REWRITE NFIX-WHEN-ZP))
 (886 850 (:REWRITE DEFAULT-+-1))
 (748 68 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (622 340 (:REWRITE DEFAULT-<-2))
 (611 611 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (552 552 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (482 164 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (436 8 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (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))
 (312 184 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (288 144 (:REWRITE SET-EQUIV-ASYM))
 (288 12 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (272 136 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (236 76 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (220 2 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (212 212 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (152 4 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (150 18 (:REWRITE ASSOCIATIVITY-OF-APPEND))
 (148 4 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (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))
 (112 112 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-15))
 (96 4 (:REWRITE LEN-OF-APPEND))
 (88 4 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (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 HIFAT-EQUIV-IMPLIES-SET-EQUIV-STRIP-CARS-1-LEMMA-2))
 (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))
 (52 8 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (48 4 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (40 8 (:REWRITE MEMBER-EQUAL-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (40 8 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (36 36 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (36 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (36 4 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (32 32 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (29 29 (:LINEAR POSITION-WHEN-MEMBER))
 (28 28 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-TABLE-FIX-UNDER-DIR-STREAM-TABLE-EQUIV))
 (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 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 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 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
 (760 38 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (698 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (625 25 (:DEFINITION ASSOC-EQUAL))
 (356 2 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (349 2 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (310 86 (:REWRITE DEFAULT-CAR))
 (115 5 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (114 6 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-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))
 (101 101 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (101 101 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (101 101 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (101 101 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (101 101 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (101 101 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (101 101 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (101 101 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (84 6 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (81 9 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (78 78 (:REWRITE DEFAULT-CDR))
 (76 76 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (70 5 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (54 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (45 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (42 42 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (40 8 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (34 1 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (32 32 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (31 10 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (27 27 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (27 1 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (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))
 (13 1 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (13 1 (:DEFINITION LEN))
 (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))
 (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))
 (9 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (9 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (5 5 (:TYPE-PRESCRIPTION M1-FILE-P))
 (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))
 (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 HIFAT-FIND-FILE-CORRECTNESS-3))
 (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
 (1065 433 (:REWRITE DEFAULT-CDR))
 (911 417 (:REWRITE DEFAULT-CAR))
 (783 82 (:REWRITE ALISTP-WHEN-HONS-DUPLICITY-ALIST-P))
 (594 22 (:DEFINITION LEN))
 (559 71 (:REWRITE HONS-DUPLICITY-ALIST-P-WHEN-NOT-CONSP))
 (450 82 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (349 349 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (349 349 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (349 349 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (349 349 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (349 349 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (349 349 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (349 349 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (349 349 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (316 38 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (216 12 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (190 38 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (184 6 (:REWRITE M1-FILE-ALIST-P-OF-CDR-WHEN-M1-FILE-ALIST-P))
 (150 38 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (142 142 (:TYPE-PRESCRIPTION HONS-DUPLICITY-ALIST-P))
 (134 134 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-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))
 (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))
 (39 11 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (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))
 (22 22 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (22 22 (:REWRITE DEFAULT-+-1))
 (18 2 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (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-TRANSITIVE))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-25
 (278 7 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (192 8 (:DEFINITION LEN))
 (109 2 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (82 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (75 9 (:REWRITE DEFAULT-CDR))
 (66 4 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (54 18 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (53 2 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (47 1 (:REWRITE M1-FILE-CONTENTS-P-CORRECTNESS-1))
 (33 9 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (28 4 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (22 2 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (20 20 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (20 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (18 18 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (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))
 (11 3 (:REWRITE DEFAULT-CAR))
 (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 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 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
 (312 13 (:DEFINITION ASSOC-EQUAL))
 (221 53 (:REWRITE DEFAULT-CAR))
 (173 6 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (110 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (108 32 (:REWRITE DEFAULT-CDR))
 (102 3 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (100 5 (:DEFINITION STRIP-CARS))
 (87 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (83 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (81 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (75 75 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (75 75 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (75 75 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (75 75 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (75 75 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (75 75 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (75 75 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (75 75 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (66 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (60 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (47 4 (:REWRITE MEMBER-WHEN-ATOM))
 (45 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (39 3 (:DEFINITION LEN))
 (36 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (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))
 (18 3 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (15 3 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (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))
 (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 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 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))
 (3 3 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-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
 (312 13 (:DEFINITION ASSOC-EQUAL))
 (197 53 (:REWRITE DEFAULT-CAR))
 (173 6 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (110 1 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (102 3 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (100 5 (:DEFINITION STRIP-CARS))
 (83 1 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (81 29 (:REWRITE DEFAULT-CDR))
 (81 6 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (66 66 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (66 66 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (66 66 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (66 66 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (66 66 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (66 66 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (66 66 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (66 66 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (66 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (63 6 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (60 6 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (47 4 (:REWRITE MEMBER-WHEN-ATOM))
 (45 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (39 3 (:DEFINITION LEN))
 (36 4 (:REWRITE CONSP-OF-STRIP-CARS))
 (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))
 (18 3 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (15 3 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (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))
 (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 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 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))
 (3 3 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (3 3 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (3 3 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-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
 (7888 120 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (6062 72 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (5062 38 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (3668 126 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1771 125 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1771 125 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1397 147 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1272 53 (:DEFINITION BINARY-APPEND))
 (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))
 (1113 106 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (983 484 (:REWRITE DEFAULT-+-2))
 (871 120 (:REWRITE LEN-WHEN-PREFIXP))
 (806 806 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (806 806 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (806 806 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (806 806 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (806 806 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (806 806 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (806 806 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (806 806 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (773 315 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (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))
 (642 72 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (630 630 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (619 153 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (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))
 (382 382 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (378 126 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (358 47 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (346 47 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (328 163 (:REWRITE DEFAULT-<-2))
 (325 163 (:REWRITE DEFAULT-<-1))
 (293 293 (:REWRITE DEFAULT-CAR))
 (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))
 (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))
 (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-+))
 (19 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (19 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33
 (40005 19 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (25364 1288 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (19619 91 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (12349 73 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (9744 155 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (9742 2926 (:REWRITE DEFAULT-CAR))
 (8124 155 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (7583 38 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (7582 246 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (6483 100 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (4939 319 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (4904 300 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (4843 152 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4204 1051 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (3954 3954 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (3954 3954 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (3954 3954 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (3954 3954 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (3954 3954 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (3954 3954 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (3954 3954 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (3954 3954 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (3944 3944 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3774 242 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (3664 392 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (3371 209 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (2974 210 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (2830 148 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (2692 273 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (2562 2562 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (2360 344 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2128 2128 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (1956 183 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1585 155 (:REWRITE LEN-WHEN-PREFIXP))
 (1584 1584 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1388 102 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (1377 513 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1317 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))
 (1021 285 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (951 143 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (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))
 (668 100 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (660 220 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (573 573 (:REWRITE DEFAULT-+-1))
 (572 572 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (572 572 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (540 100 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (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))
 (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))
 (222 222 (:TYPE-PRESCRIPTION SUBLISTP))
 (176 24 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (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-TRANSITIVE . 2))
 (143 143 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (124 124 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (100 100 (:REWRITE SUBLISTP-COMPLETE))
 (77 77 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (32 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (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))
 (12 1 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (6 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (4 4 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (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
 (22167 124 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (15735 23 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (15108 760 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (11816 477 (:DEFINITION ASSOC-EQUAL))
 (8929 48 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (7868 48 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (5970 73 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5850 95 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (5532 158 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (5411 1539 (:REWRITE DEFAULT-CAR))
 (5243 15 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (4715 5 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (4680 10 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (2386 222 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1943 230 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (1860 1860 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (1852 1852 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (1852 1852 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (1852 1852 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (1852 1852 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (1852 1852 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (1852 1852 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (1852 1852 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (1852 1852 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (1522 7 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (1520 1520 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (1486 1486 (:REWRITE DEFAULT-CDR))
 (1303 88 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (1056 264 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (1030 118 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (880 176 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (738 738 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (554 118 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (547 547 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (524 118 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (522 89 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (415 89 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (409 185 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (358 358 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (352 236 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (294 294 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (223 223 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (223 95 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (218 218 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (218 218 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (199 18 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (193 193 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (193 18 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (188 74 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (158 158 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (155 31 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (140 7 (:DEFINITION STRIP-CARS))
 (108 12 (:REWRITE CONSP-OF-STRIP-CARS))
 (95 95 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (92 92 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (89 89 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (83 35 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (72 8 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (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))
 (35 35 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (30 5 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (25 5 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (24 24 (:REWRITE DEFAULT-<-1))
 (20 1 (:REWRITE MEMBER-WHEN-ATOM))
 (18 18 (:REWRITE SUBSETP-TRANS2))
 (18 18 (:REWRITE SUBSETP-TRANS))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (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 SET::NONEMPTY-MEANS-SET))
 (8 8 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (8 8 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (5 5 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (5 5 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (5 5 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (5 5 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-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))
 (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
 (25831 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (22395 362 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (15296 161 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (14960 764 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (13518 96 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (12030 159 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (11994 69 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (11969 491 (:DEFINITION ASSOC-EQUAL))
 (9635 115 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (8822 61 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (8794 93 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (7055 159 (:REWRITE LEN-WHEN-PREFIXP))
 (6020 353 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (5867 1939 (:REWRITE DEFAULT-CAR))
 (4190 155 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (3907 26 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (3216 3216 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (3216 3216 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (3216 3216 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (3216 3216 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (3216 3216 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (3216 3216 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (3216 3216 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (3216 3216 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (3052 427 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2905 162 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (2890 178 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (2605 2461 (:REWRITE DEFAULT-CDR))
 (2516 764 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2099 245 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1959 359 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1932 1932 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1893 1893 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (1792 451 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (1765 111 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (1580 155 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (1562 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))
 (1478 111 (:REWRITE FAT32-FILENAME-FIX-WHEN-FAT32-FILENAME-P))
 (1417 209 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (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))
 (967 100 (: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))
 (849 113 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (756 54 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (710 94 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (670 94 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (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 75 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (330 330 (:LINEAR POSITION-WHEN-MEMBER))
 (330 330 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (330 45 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (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))
 (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))
 (145 18 (:REWRITE NTH-WHEN-PREFIXP))
 (113 113 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (113 113 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (96 96 (:REWRITE SUBLISTP-COMPLETE))
 (93 31 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (90 90 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (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))
 (75 6 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (73 5 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (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))
 (45 45 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (44 26 (:REWRITE NFIX-WHEN-NATP))
 (39 15 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (18 1 (:REWRITE LIST-EQUIV-OF-NIL-LEFT))
 (16 16 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (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))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38
 (3465 2 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (3405 6 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (2254 15 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (2179 22 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1640 37 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (1562 14 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1175 20 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (697 33 (:LINEAR POSITION-WHEN-MEMBER))
 (592 20 (:REWRITE LEN-WHEN-PREFIXP))
 (558 18 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (556 68 (:DEFINITION LEN))
 (517 11 (:REWRITE POSITION-OF-CDR))
 (301 55 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (297 11 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (290 15 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (236 36 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (214 21 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (204 27 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (192 1 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (168 80 (:REWRITE DEFAULT-CAR))
 (158 79 (:REWRITE DEFAULT-+-2))
 (154 154 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (143 11 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (138 138 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (138 138 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (138 138 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (138 138 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (138 138 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (138 138 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (138 138 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (138 138 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (137 137 (:REWRITE DEFAULT-CDR))
 (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))
 (99 11 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (99 11 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (96 22 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (90 90 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (79 79 (:REWRITE DEFAULT-+-1))
 (78 16 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (70 14 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (67 5 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (66 66 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (66 66 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (65 11 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (55 55 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (52 26 (:REWRITE DEFAULT-<-2))
 (49 15 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (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))
 (44 5 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (43 1 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (36 4 (:REWRITE CONSP-OF-LIST-FIX))
 (35 5 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (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 14 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (30 14 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (30 14 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (30 1 (:REWRITE NFIX-WHEN-ZP))
 (29 29 (:TYPE-PRESCRIPTION SUBLISTP))
 (27 11 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (26 1 (:REWRITE ZP-OPEN))
 (24 6 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (23 23 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (23 7 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (23 7 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (22 11 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
 (21 5 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (21 1 (:REWRITE NTH-WHEN-PREFIXP))
 (18 18 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (18 16 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (16 16 (:REWRITE SUBSETP-TRANS2))
 (16 16 (:REWRITE SUBSETP-TRANS))
 (15 15 (:REWRITE SUBLISTP-COMPLETE))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (11 11 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (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))
 (9 1 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (8 8 (:TYPE-PRESCRIPTION LIST-EQUIV))
 (8 1 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (6 6 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (5 1 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (4 4 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (4 4 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (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 SET::EMPTYP-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-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 ABS-MKDIR-CORRECTNESS-LEMMA-51))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-39
 (184 5 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (173 6 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (99 9 (:DEFINITION LEN))
 (84 1 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (36 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (34 1 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (32 32 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (27 3 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (21 7 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (18 18 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 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 1 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (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
 (2281194 3672 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (1900213 33161 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1358185 795 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (1296943 9694 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (879989 31746 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (582755 34761 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (520744 33161 (:REWRITE LEN-WHEN-PREFIXP))
 (371423 37587 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (337166 337166 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (337166 337166 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (337166 337166 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (337166 337166 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (337166 337166 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (337166 337166 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (337166 337166 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (337166 337166 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (276465 66503 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (244588 61164 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (235164 114038 (:REWRITE DEFAULT-CAR))
 (220457 37571 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (193338 3109 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-34))
 (170380 8938 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (165926 11368 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (159002 19418 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (143450 4527 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (131299 5842 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-29))
 (129869 3018 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (125930 542 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (120270 120270 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (120270 120270 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (107930 20334 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (107531 5842 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-24))
 (91710 30570 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (90641 50606 (:REWRITE DEFAULT-<-1))
 (90532 50606 (:REWRITE DEFAULT-<-2))
 (85568 6249 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (73811 271 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (72394 7778 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (71684 10156 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (69834 7778 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (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))
 (49383 1875 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (41429 37575 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (32723 12035 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (32373 3597 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (32373 3597 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (27146 1509 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (24894 1084 (:REWRITE SUBSETP-OF-CONS))
 (23598 828 (:REWRITE LEN-OF-NTHCDR))
 (23476 467 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (22967 8027 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (22756 22756 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (22756 11378 (:REWRITE DEFAULT-*-2))
 (22619 1509 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (22094 20204 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (19957 1041 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (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))
 (19692 3139 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (19418 19418 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (19418 19418 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (19298 3130 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (18872 789 (:REWRITE LEN-OF-APPEND))
 (18189 2021 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (17876 114 (:REWRITE REPEAT-WHEN-ZP))
 (17634 1534 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
 (15811 2199 (:REWRITE NTH-WHEN-PREFIXP))
 (13581 1509 (:REWRITE CONSP-OF-STRIP-CARS))
 (13550 271 (:REWRITE SUBSETP-APPEND1))
 (13152 2192 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (12179 271 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (12111 1351 (:REWRITE CONSP-OF-LIST-FIX))
 (12060 1041 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (11908 813 (:REWRITE SUBSETP-CONS-2))
 (11791 2595 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (11378 11378 (:REWRITE DEFAULT-*-1))
 (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))
 (7451 1041 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (7393 3290 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (7194 7194 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (7194 7194 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (6217 813 (:REWRITE SET-EQUIV-OF-NIL))
 (6048 54 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (5850 276 (:REWRITE CONSP-OF-APPEND))
 (5842 5842 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-22))
 (5675 542 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (5447 419 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (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))
 (4671 173 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (4598 4598 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (4598 4598 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (4386 731 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (4028 4028 (:REWRITE FOLD-CONSTS-IN-+))
 (3690 3690 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (3655 731 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (3094 3094 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (3018 3018 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2249 173 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-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))
 (1897 1897 (:REWRITE SUBSETP-NIL))
 (1730 346 (:LINEAR NTH-WHEN-D-E-P))
 (1557 173 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (1557 173 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (1509 1509 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1509 1509 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE))
 (1501 1501 (:REWRITE SUBSETP-MEMBER . 1))
 (1462 1462 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (1462 731 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (1440 16 (:REWRITE NTH-OF-APPEND))
 (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))
 (1000 40 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (902 451 (:REWRITE SET-EQUIV-ASYM))
 (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))
 (780 20 (:DEFINITION LAST))
 (731 731 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (731 731 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (731 731 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (731 731 (:REWRITE SET::IN-SET))
 (664 664 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (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 FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (173 173 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (152 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
 (23521 666 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (20454 57 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (19812 510 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (18033 193 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (17782 188 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (16129 91 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (15326 126 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (13079 30 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (9576 69 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (8886 1763 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (7220 2998 (:REWRITE DEFAULT-CAR))
 (6815 193 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-29))
 (6328 1418 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (6113 18 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (5951 5951 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (5951 5951 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (5951 5951 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (5951 5951 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (5951 5951 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (5951 5951 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (5951 5951 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (5951 5951 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (4641 17 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (4281 193 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-24))
 (4049 112 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (3459 622 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (2899 83 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (2825 1503 (:REWRITE DEFAULT-+-2))
 (2747 367 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (2577 681 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (2060 126 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (2058 153 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1866 148 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (1739 787 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (1564 68 (:REWRITE SUBSETP-OF-CONS))
 (1545 1503 (:REWRITE DEFAULT-+-1))
 (1418 1418 (:REWRITE SUBSETP-TRANS2))
 (1418 1418 (:REWRITE SUBSETP-TRANS))
 (1411 697 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1361 188 (:REWRITE LEN-WHEN-PREFIXP))
 (1314 282 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (1307 697 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1230 230 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (1208 13 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (1118 22 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1089 121 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (1057 121 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (1039 539 (:REWRITE DEFAULT-<-2))
 (1031 716 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (924 50 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (907 67 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (897 697 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (850 17 (:REWRITE SUBSETP-APPEND1))
 (825 137 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (816 9 (:REWRITE M1-FILE-ALIST-P-OF-APPEND))
 (765 85 (:REWRITE CONSP-OF-LIST-FIX))
 (765 17 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (757 539 (:REWRITE DEFAULT-<-1))
 (748 51 (:REWRITE SUBSETP-CONS-2))
 (728 56 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (717 697 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (710 710 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (710 710 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (698 33 (:REWRITE CONSP-OF-APPEND))
 (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))
 (672 28 (:REWRITE CAR-OF-APPEND))
 (668 1 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (648 72 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (648 72 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (594 66 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (588 98 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (567 63 (:REWRITE CONSP-OF-STRIP-CARS))
 (538 73 (:REWRITE SUBSETP-CAR-MEMBER))
 (524 50 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (498 166 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (453 97 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (416 88 (:REWRITE NTH-WHEN-PREFIXP))
 (408 408 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (391 51 (:REWRITE SET-EQUIV-OF-NIL))
 (360 162 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (357 34 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (355 355 (:LINEAR POSITION-WHEN-MEMBER))
 (353 50 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (330 330 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (252 252 (:TYPE-PRESCRIPTION SUBLISTP))
 (226 34 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (226 34 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (216 6 (:REWRITE EQUAL-OF-DIR-STREAM))
 (196 196 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (193 193 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-22))
 (192 112 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (186 31 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (181 181 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (178 178 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (178 178 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (168 14 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (168 7 (:REWRITE LEN-OF-APPEND))
 (155 31 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (144 144 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (144 144 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (137 137 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (137 137 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (126 126 (:REWRITE SUBLISTP-COMPLETE))
 (119 119 (:REWRITE SUBSETP-NIL))
 (116 116 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (105 105 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (102 102 (:LINEAR HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-26))
 (98 98 (:TYPE-PRESCRIPTION ATOM))
 (90 10 (:REWRITE TAKE-WHEN-ATOM))
 (81 3 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (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))
 (74 1 (:REWRITE WHEN-APPEND-SAME))
 (73 73 (:REWRITE SUBSETP-MEMBER . 1))
 (72 72 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-15))
 (62 62 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (62 31 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (57 19 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (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))
 (50 1 (:REWRITE NTH-OF-APPEND))
 (46 3 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (44 22 (:REWRITE SET-EQUIV-ASYM))
 (39 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (39 1 (:DEFINITION LAST))
 (31 31 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (31 31 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (31 31 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (31 31 (:REWRITE SET::IN-SET))
 (30 6 (:LINEAR NTH-WHEN-D-E-P))
 (30 1 (:REWRITE NFIX-WHEN-ZP))
 (27 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (27 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (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))
 (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))
 (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 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
 (9186 131 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (7525 10 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (5477 110 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4057 68 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (3665 254 (:REWRITE DEFAULT-CDR))
 (3662 1 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (3255 30 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1800 119 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1677 110 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1355 119 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1343 107 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (1296 110 (:REWRITE LEN-WHEN-PREFIXP))
 (1265 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (984 984 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (903 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (833 20 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (764 24 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (636 636 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (636 636 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (636 636 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (636 636 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (636 636 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (636 636 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (636 636 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (636 636 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (585 195 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (585 195 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (534 56 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (528 24 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (466 68 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (462 140 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (442 30 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (441 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (428 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (390 390 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (390 390 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (369 105 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (342 192 (:REWRITE DEFAULT-<-2))
 (331 26 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (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))
 (285 192 (:REWRITE DEFAULT-<-1))
 (283 10 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-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))
 (261 13 (:DEFINITION BINARY-APPEND))
 (254 26 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (245 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (233 57 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (228 25 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (226 26 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (220 11 (:DEFINITION STRIP-CARS))
 (199 199 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (199 111 (:REWRITE DEFAULT-CAR))
 (196 25 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (195 195 (:LINEAR POSITION-WHEN-MEMBER))
 (195 195 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (165 161 (:REWRITE DEFAULT-+-1))
 (165 34 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (162 34 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (155 26 (:REWRITE SUBSETP-TRANS))
 (147 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (140 119 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (137 22 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (137 22 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (137 2 (:REWRITE LEN-OF-NTHCDR))
 (136 136 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (133 133 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (117 13 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (106 1 (:DEFINITION NTHCDR))
 (105 5 (:REWRITE NTH-WHEN-PREFIXP))
 (105 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (92 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (90 10 (:REWRITE CONSP-OF-STRIP-CARS))
 (87 87 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (75 68 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (75 8 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (65 3 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (64 64 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (64 64 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (64 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (60 60 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (57 57 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (56 56 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (54 2 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (48 48 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (48 48 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (36 4 (:REWRITE CONSP-OF-LIST-FIX))
 (36 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (35 1 (:DEFINITION NATP))
 (33 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (32 26 (:REWRITE SUBSETP-TRANS2))
 (31 31 (:REWRITE SUBLISTP-COMPLETE))
 (30 30 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (30 5 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (28 1 (:REWRITE SUBSETP-CONS-2))
 (26 26 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (26 2 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (25 5 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (24 24 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (24 24 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (24 24 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (24 24 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (24 1 (:REWRITE LEN-OF-APPEND))
 (21 1 (:REWRITE SET-EQUIV-OF-NIL))
 (20 4 (:LINEAR NTH-WHEN-D-E-P))
 (19 3 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (19 1 (:DEFINITION ATOM))
 (18 18 (:TYPE-PRESCRIPTION D-E-P))
 (18 18 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (18 2 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (18 2 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (14 2 (:DEFINITION NFIX))
 (14 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (11 11 (:TYPE-PRESCRIPTION ZP))
 (11 11 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (11 11 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 2))
 (10 10 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (10 10 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (10 10 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE))
 (10 5 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 16))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 15))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 14))
 (9 9 (:REWRITE INTERSECT-WITH-SUBSET . 13))
 (8 8 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (5 5 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (5 5 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (5 5 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (5 5 (:REWRITE SET::IN-SET))
 (4 4 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (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))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP))
 (2 2 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP))
 (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 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-BOUNDED-NAT-LISTP))
 (2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (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
 (8801 126 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (7525 10 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (5355 107 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3940 66 (:REWRITE ABS-PLACE-FILE-HELPER-OF-CTX-APP-LEMMA-1))
 (3662 1 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (3626 215 (:REWRITE DEFAULT-CDR))
 (3255 30 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (1797 116 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (1665 109 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1352 116 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (1265 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (1245 107 (:REWRITE LEN-WHEN-PREFIXP))
 (1130 106 (:REWRITE COLLAPSE-HIFAT-PLACE-FILE-LEMMA-113))
 (920 920 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (537 179 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (537 179 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (511 511 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (511 511 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (511 511 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (511 511 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (511 511 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (511 511 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (511 511 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (511 511 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (464 69 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (428 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (358 358 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (358 358 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (331 26 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (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))
 (257 140 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (254 147 (:REWRITE DEFAULT-<-2))
 (248 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-APPEND))
 (245 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (234 147 (:REWRITE DEFAULT-<-1))
 (215 87 (:REWRITE DEFAULT-CAR))
 (207 23 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (197 197 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-PREFIXP))
 (190 5 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (179 179 (:LINEAR POSITION-WHEN-MEMBER))
 (179 179 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (175 23 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (141 137 (:REWRITE DEFAULT-+-1))
 (137 116 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (137 2 (:REWRITE LEN-OF-NTHCDR))
 (136 136 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-P))
 (120 5 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (114 18 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (114 18 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (110 5 (:DEFINITION ASSOC-EQUAL))
 (106 1 (:DEFINITION NTHCDR))
 (105 5 (:REWRITE NTH-WHEN-PREFIXP))
 (95 15 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (91 9 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (81 3 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (70 5 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (65 3 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (60 60 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (55 1 (:REWRITE SUBSETP-OF-CONS))
 (54 6 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (51 5 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (50 10 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (45 5 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (40 10 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (39 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (36 4 (:REWRITE CONSP-OF-LIST-FIX))
 (36 2 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (35 1 (:DEFINITION NATP))
 (34 34 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (33 3 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (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))
 (28 28 (:REWRITE SUBLISTP-COMPLETE))
 (28 1 (:REWRITE SUBSETP-CONS-2))
 (28 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-CONS))
 (27 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (27 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (24 4 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (24 1 (:REWRITE LEN-OF-APPEND))
 (23 2 (:REWRITE SUBSETP-CAR-MEMBER))
 (21 1 (:REWRITE SET-EQUIV-OF-NIL))
 (21 1 (:DEFINITION BINARY-APPEND))
 (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-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (19 3 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (19 1 (:DEFINITION ATOM))
 (18 2 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (17 17 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (16 12 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (15 15 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (15 5 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (15 2 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (14 2 (:DEFINITION NFIX))
 (13 13 (:TYPE-PRESCRIPTION TRUE-LIST-FIX))
 (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 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))
 (9 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 (8 8 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (8 8 (:LINEAR HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-1))
 (8 4 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (6 6 (:TYPE-PRESCRIPTION NAT-LISTP))
 (6 6 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-LIST-P))
 (6 6 (:TYPE-PRESCRIPTION FAT32-FILENAME-LIST-EQUIV$INLINE))
 (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 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))
 (4 4 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (4 4 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (4 4 (:REWRITE SET::IN-SET))
 (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 FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (3 3 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (2 2 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (2 2 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP))
 (2 2 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP))
 (2 2 (:REWRITE SUBSETP-NIL))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (2 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (1 1 (:TYPE-PRESCRIPTION NATP))
 )
(HIFAT-NO-DUPS-P-OF-REMOVE-ASSOCS-EQUAL
 (56588 2965 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (52487 238 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (48441 504 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (34016 171 (:REWRITE CONSP-OF-REMOVE-ASSOCS-EQUAL))
 (12749 666 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (10008 1189 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (9174 52 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (9053 401 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8357 174 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (6802 428 (:REWRITE M1-FILE-ALIST-P-OF-REMOVE-ASSOCS-EQUAL))
 (6679 348 (:DEFINITION STRIP-CARS))
 (3900 6 (:REWRITE SUBSETP-OF-CONS))
 (3632 1553 (:REWRITE DEFAULT-CDR))
 (3491 144 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-1))
 (3241 349 (:REWRITE INTERSECTP-MEMBER . 1))
 (3172 252 (:REWRITE SUBSETP-CAR-MEMBER))
 (2821 2817 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (2821 2817 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (2821 2817 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (2821 2817 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (2817 2817 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (2817 2817 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (2817 2817 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (2817 2817 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (2476 308 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (2325 285 (:REWRITE CONSP-OF-STRIP-CARS))
 (2280 57 (:REWRITE MEMBER-OF-STRIP-CARS))
 (1980 6 (:REWRITE SUBSETP-CONS-2))
 (1972 1972 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (1809 289 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (1648 1648 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (1458 196 (:REWRITE MEMBER-WHEN-ATOM))
 (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))
 (992 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))
 (530 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))
 (253 14 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-2))
 (225 77 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (207 207 (:TYPE-PRESCRIPTION SET-EQUIV))
 (207 207 (:REWRITE SUBSETP-OF-CDR))
 (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))
 (186 116 (:REWRITE SUBSETP-MEMBER . 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))
 (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))
 (70 5 (:REWRITE FAT32-FILENAME-LIST-P-CORRECTNESS-1))
 (57 57 (:TYPE-PRESCRIPTION NULL))
 (57 57 (:DEFINITION NULL))
 (52 52 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (48 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (33 3 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (33 3 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (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))
 (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
 (17434 1399 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (15492 249 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (13682 147 (:REWRITE CONSP-OF-REMOVE-ASSOCS-EQUAL))
 (9993 138 (:REWRITE SUBSETP-CAR-MEMBER))
 (9010 1694 (:REWRITE DEFAULT-CAR))
 (6372 277 (:DEFINITION ASSOC-EQUAL))
 (5930 125 (:REWRITE MEMBER-OF-STRIP-CARS))
 (5693 783 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (4352 217 (:DEFINITION STRIP-CARS))
 (4151 1232 (:REWRITE DEFAULT-CDR))
 (3966 280 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (2799 96 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2446 2446 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (2446 2446 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (2446 2446 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (2446 2446 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (2446 2446 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (2446 2446 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (2446 2446 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (2446 2446 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (2441 28 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (2232 248 (:REWRITE CONSP-OF-STRIP-CARS))
 (1774 1774 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (1763 783 (:REWRITE SUBSETP-TRANS))
 (1693 96 (:REWRITE INTERSECTP-MEMBER . 1))
 (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))
 (927 133 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-1))
 (918 612 (:REWRITE DEFAULT-+-1))
 (905 8 (:REWRITE SUBSETP-CONS-2))
 (832 783 (:REWRITE SUBSETP-TRANS2))
 (807 75 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (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))
 (428 8 (:REWRITE SUBSETP-OF-CONS))
 (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))
 (277 277 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (276 276 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (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))
 (166 3 (:REWRITE MEMBER-OF-CONS))
 (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))
 (127 16 (:REWRITE REMOVE-WHEN-ABSENT))
 (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))
 (74 74 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (68 3 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (63 2 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (34 2 (:REWRITE MEMBER-OF-CAR))
 (30 8 (:REWRITE DEFAULT-<-1))
 (22 8 (:REWRITE DEFAULT-<-2))
 (18 9 (:REWRITE SET-EQUIV-ASYM))
 (18 1 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (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))
 (9 9 (:TYPE-PRESCRIPTION SET-EQUIV))
 (9 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (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 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))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-4
 (73678 5560 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (68397 1216 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (35765 7114 (:REWRITE DEFAULT-CAR))
 (24965 453 (:REWRITE SUBSETP-CAR-MEMBER))
 (19604 985 (:DEFINITION STRIP-CARS))
 (18482 3073 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (17858 175 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (15775 5034 (:REWRITE DEFAULT-CDR))
 (12499 867 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (12367 506 (:REWRITE INTERSECTP-MEMBER . 1))
 (10044 358 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (9314 9314 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (9314 9314 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (9314 9314 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (9314 9314 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (9314 9314 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (9314 9314 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (9314 9314 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (9314 9314 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (8685 965 (:REWRITE CONSP-OF-STRIP-CARS))
 (7440 7440 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (5448 1478 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (5347 28 (:REWRITE SUBSETP-CONS-2))
 (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))
 (3816 2552 (:REWRITE DEFAULT-+-1))
 (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))
 (2257 24 (:REWRITE MEMBER-OF-CONS))
 (2239 28 (:REWRITE SUBSETP-OF-CONS))
 (1976 1976 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1932 644 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1742 1662 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1610 322 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (1610 322 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (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))
 (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))
 (387 371 (: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))
 (136 6 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (122 4 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (96 96 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (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))
 (34 2 (:REWRITE MEMBER-OF-CAR))
 (34 2 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (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))
 (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 M1-FILE-P-OF-M1-FILE-FIX))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-5
 (624 2 (:REWRITE REMOVE-ASSOCS-EQUAL-WHEN-ATOM))
 (546 10 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (471 2 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$-2))
 (251 37 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (173 32 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (135 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 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))
 (45 5 (:REWRITE CONSP-OF-STRIP-CARS))
 (43 5 (:REWRITE MEMBER-WHEN-ATOM))
 (40 2 (:DEFINITION STRIP-CARS))
 (31 7 (:REWRITE DEFAULT-CAR))
 (30 12 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (26 26 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (26 26 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (26 26 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (26 26 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (26 26 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (26 26 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (26 26 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (26 26 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (22 1 (:DEFINITION ASSOC-EQUAL))
 (16 16 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (12 12 (:TYPE-PRESCRIPTION INTERSECTP-EQUAL))
 (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))
 (9 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (8 2 (:REWRITE NOT-INTERSECTP-OF-SET-DIFFERENCE$-WHEN-SUBSETP-1 . 1))
 (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))
 (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))
 (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 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))
 (9 1 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (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 CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (1 1 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-7
 (10494 138 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (5315 644 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (3598 1310 (:REWRITE DEFAULT-CAR))
 (3499 145 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (3396 172 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (3236 226 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2983 964 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (2823 439 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (2526 93 (:REWRITE M1-DIRECTORY-FILE-P-OF-M1-FILE-FIX))
 (1901 501 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (1804 1804 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (1755 137 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1495 1495 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (1495 1495 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (1495 1495 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (1495 1495 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (1495 1495 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (1495 1495 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (1495 1495 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (1495 1495 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (1251 135 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (1183 105 (:REWRITE HIFAT-NO-DUPS-P-OF-M1-FILE->CONTENTS-OF-HIFAT-FIND-FILE-LEMMA-1))
 (1170 664 (:REWRITE DEFAULT-+-2))
 (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))
 (557 15 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (544 95 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (501 501 (:REWRITE SUBSETP-TRANS2))
 (501 501 (:REWRITE SUBSETP-TRANS))
 (440 440 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (423 168 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (411 137 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (360 72 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (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))
 (210 15 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (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))
 (135 15 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (127 19 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-2))
 (100 26 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (100 20 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (94 94 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (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 2 (:REWRITE SET-EQUIV-OF-NIL))
 (15 15 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (15 15 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (10 10 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-FIX-UNDER-DIR-STREAM-EQUIV))
 (2 2 (:REWRITE SUBSETP-NIL))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-11
 (1754 38 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (1568 82 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (1040 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-13))
 (908 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (778 162 (:REWRITE DEFAULT-CAR))
 (414 6 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (387 15 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (324 18 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (273 13 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (234 117 (:REWRITE DEFAULT-+-2))
 (232 232 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (232 232 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (232 232 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (232 232 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (232 232 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (232 232 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (232 232 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (232 232 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (224 224 (:REWRITE DEFAULT-CDR))
 (207 9 (:DEFINITION ASSOC-EQUAL))
 (202 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (182 13 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (155 38 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (129 24 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (126 30 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (117 117 (:REWRITE DEFAULT-+-1))
 (115 62 (:REWRITE DEFAULT-<-2))
 (91 10 (:DEFINITION MEMBER-EQUAL))
 (84 84 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (84 84 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (81 3 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (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))
 (58 6 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (56 4 (:REWRITE ZP-OPEN))
 (48 48 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (47 47 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (44 36 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (42 42 (:LINEAR POSITION-WHEN-MEMBER))
 (39 3 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (36 36 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (36 36 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (33 9 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-21))
 (32 32 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (32 6 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-29))
 (30 6 (:LINEAR NTH-WHEN-D-E-P))
 (27 3 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (27 3 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (26 26 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (26 26 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (24 24 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (20 20 (:REWRITE SUBSETP-MEMBER . 1))
 (20 4 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (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-24))
 (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))
 (3 3 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (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
 (5250 266 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (5175 3 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (2589 12 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (2261 645 (:REWRITE DEFAULT-CAR))
 (1501 5 (:LINEAR NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-11))
 (1056 6 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (979 50 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (730 33 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (671 177 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (654 654 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (654 654 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (654 654 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (654 654 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (654 654 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (654 654 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (654 654 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (654 654 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 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))
 (357 16 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (342 10 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (336 101 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (320 96 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (286 78 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (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))
 (168 12 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (154 18 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (135 27 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (123 11 (:DEFINITION LEN))
 (104 104 (:REWRITE SUBSETP-MEMBER . 1))
 (96 96 (:REWRITE SUBSETP-TRANS2))
 (96 96 (:REWRITE SUBSETP-TRANS))
 (78 78 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (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))
 (27 1 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (24 12 (:REWRITE DEFAULT-+-2))
 (20 20 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (20 20 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (20 2 (:REWRITE SET-EQUIV-OF-NIL))
 (18 2 (:DEFINITION ATOM))
 (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))
 (13 1 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (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))
 (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))
 (9 1 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (9 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (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))
 (4 4 (:TYPE-PRESCRIPTION D-E-P))
 (4 4 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (3 3 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (3 1 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (2 2 (:TYPE-PRESCRIPTION M1-FILE-FIX$INLINE))
 (2 2 (:REWRITE SUBSETP-NIL))
 (1 1 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (1 1 (:REWRITE M1-FILE-P-OF-M1-FILE-FIX))
 (1 1 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (1 1 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-14
 (36976 2038 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (28605 31 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (18549 5142 (:REWRITE DEFAULT-CAR))
 (18092 2544 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (13479 76 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (13209 446 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (11953 1968 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (9693 62 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (8215 60 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$-2))
 (6923 6923 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (6923 6923 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (6923 6923 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (6923 6923 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (6923 6923 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (6923 6923 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (6923 6923 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (6923 6923 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (6112 20 (:LINEAR HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-5))
 (5912 365 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (5825 38 (:REWRITE REMOVE-ASSOCS-EQUAL-WHEN-ATOM))
 (5366 340 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (5014 411 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (4925 56 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (4517 28 (:REWRITE CONSP-OF-REMOVE-ASSOCS-EQUAL))
 (3980 3980 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (3828 140 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (3647 16 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-21))
 (3454 391 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (3394 1002 (:REWRITE SUBSETP-MEMBER . 1))
 (3265 59 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (3257 258 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (3217 14 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (3153 497 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (2848 52 (:REWRITE SUBSETP-OF-REMOVE1))
 (2738 724 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2360 118 (:DEFINITION STRIP-CARS))
 (2359 208 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (1915 1862 (:REWRITE SUBSETP-TRANS))
 (1875 24 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (1868 1862 (:REWRITE SUBSETP-TRANS2))
 (1854 348 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (1726 56 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1683 213 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1613 208 (:REWRITE MEMBER-WHEN-ATOM))
 (1611 179 (:REWRITE CONSP-OF-STRIP-CARS))
 (1432 4 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (1402 276 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (1053 213 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (978 104 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (909 14 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-30))
 (828 46 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (788 788 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (738 58 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (648 308 (:REWRITE INTERSECTP-MEMBER . 1))
 (605 336 (:REWRITE DEFAULT-<-2))
 (549 19 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (544 16 (:REWRITE MEMBER-EQUAL-NTH))
 (531 177 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (531 177 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (529 65 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (511 407 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (476 476 (:TYPE-PRESCRIPTION M1-FILE-P))
 (471 260 (:REWRITE DEFAULT-+-2))
 (456 456 (:TYPE-PRESCRIPTION HIFAT-SUBSETP))
 (446 446 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (420 420 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (420 420 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (412 59 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (410 31 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (365 365 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (362 362 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (359 336 (: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))
 (341 15 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (338 338 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (302 302 (:REWRITE FLATTEN-SUBSET-NO-DUPLICATESP-LEMMA-1))
 (297 277 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (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 FREE-INDEX-LISTP-CORRECTNESS-1))
 (213 213 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (208 208 (:REWRITE INTERSECTP-MEMBER . 3))
 (208 208 (:REWRITE INTERSECTP-MEMBER . 2))
 (200 200 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (200 187 (:REWRITE SUBSETP-MEMBER . 3))
 (189 189 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (182 26 (:REWRITE NOT-INTERSECTP-OF-SET-DIFFERENCE$-WHEN-SUBSETP-1 . 1))
 (177 177 (:LINEAR POSITION-WHEN-MEMBER))
 (177 177 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (163 15 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (150 30 (:LINEAR NTH-WHEN-D-E-P))
 (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))
 (109 1 (:REWRITE FAT32-FILENAME-LIST-P-OF-<<-SORT-WHEN-FAT32-FILENAME-LIST-P))
 (105 21 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (103 15 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (103 15 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (101 5 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (88 88 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (82 6 (:REWRITE SET-EQUIV-OF-NIL))
 (81 34 (:REWRITE FAT32-FILENAME-LIST-P-OF-STRIP-CARS-WHEN-M1-FILE-ALIST-P))
 (78 26 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 2))
 (78 26 (:TYPE-PRESCRIPTION INTERSECTP-OF-REMOVE . 1))
 (77 77 (:REWRITE SUBSETP-OF-CDR))
 (76 76 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (74 74 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (69 13 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (64 64 (:TYPE-PRESCRIPTION D-E-P))
 (64 64 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (63 21 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (62 62 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (62 5 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (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))
 (42 3 (:REWRITE LEN-OF-STRIP-CARS))
 (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))
 (16 8 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (15 15 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (15 15 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (15 15 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (13 13 (:REWRITE-QUOTED-CONSTANT DIR-STREAM-FIX-UNDER-DIR-STREAM-EQUIV))
 (12 2 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (10 2 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (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 SET::NONEMPTY-MEANS-SET))
 (2 2 (:TYPE-PRESCRIPTION TRUE-LISTP))
 (2 2 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (2 2 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-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
 (51893 2392 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (47604 267 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (18777 209 (:REWRITE CONSP-OF-REMOVE-ASSOCS-EQUAL))
 (10279 2767 (:REWRITE DEFAULT-CAR))
 (9244 398 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (8274 934 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (7841 902 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (7430 1886 (:REWRITE DEFAULT-CDR))
 (5854 246 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (5146 257 (:DEFINITION STRIP-CARS))
 (4262 246 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (4126 46 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (4008 260 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (3586 721 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (3050 232 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (2957 93 (:REWRITE INTERSECTP-MEMBER . 1))
 (2679 2679 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (2679 2679 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (2679 2679 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (2679 2679 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (2679 2679 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (2679 2679 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (2679 2679 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (2679 2679 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (2564 464 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (2563 721 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (2330 466 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (2262 2262 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (2211 4 (:REWRITE SUBSETP-CONS-2))
 (2151 717 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1746 194 (:REWRITE CONSP-OF-STRIP-CARS))
 (1366 32 (:REWRITE MEMBER-OF-STRIP-CARS))
 (1282 232 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (1186 38 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1142 165 (:LINEAR HIFAT-ENTRY-COUNT-OF-CDR-1))
 (1120 156 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (1076 996 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (932 932 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (932 932 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (910 4 (:REWRITE SUBSETP-OF-CONS))
 (902 902 (:REWRITE SUBSETP-TRANS2))
 (902 902 (:REWRITE SUBSETP-TRANS))
 (755 17 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (640 120 (:REWRITE MEMBER-WHEN-ATOM))
 (534 470 (:REWRITE HIFAT-NO-DUPS-P-OF-CDR))
 (520 520 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (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))
 (121 121 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (121 121 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (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))
 (17 1 (:REWRITE MEMBER-OF-CAR))
 (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))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-16
 (4455 229 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (3653 151 (:DEFINITION ASSOC-EQUAL))
 (1873 521 (:REWRITE DEFAULT-CAR))
 (1395 10 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (1050 120 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1032 2 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (985 17 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (974 24 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (846 99 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (773 56 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (735 5 (:REWRITE SUBSETP-OF-SET-DIFFERENCE$-2))
 (712 32 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (700 16 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (685 8 (:REWRITE REMOVE-ASSOCS-EQUAL-WHEN-ATOM))
 (677 677 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (677 677 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (677 677 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (677 677 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (677 677 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (677 677 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (677 677 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (677 677 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (671 19 (:REWRITE INTERSECTP-WHEN-SUBSETP))
 (668 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (579 25 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (567 79 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (493 477 (:REWRITE DEFAULT-CDR))
 (480 480 (:TYPE-PRESCRIPTION HIFAT-FILE-ALIST-FIX))
 (463 18 (:REWRITE SUBSETP-CAR-MEMBER))
 (452 452 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (336 336 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (296 1 (:LINEAR HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-5))
 (264 264 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
 (252 28 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (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 10 (:DEFINITION STRIP-CARS))
 (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))
 (175 11 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (165 7 (:REWRITE REMOVE-WHEN-ABSENT))
 (160 5 (:REWRITE INTERSECTP-IS-COMMUTATIVE))
 (145 17 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (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))
 (117 53 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (108 12 (:REWRITE CONSP-OF-STRIP-CARS))
 (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))
 (81 13 (:REWRITE MEMBER-WHEN-ATOM))
 (79 10 (:REWRITE SUBSETP-MEMBER . 1))
 (78 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-5))
 (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))
 (51 1 (:REWRITE SUBSETP-OF-REMOVE1))
 (48 48 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (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))
 (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))
 (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))
 (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))
 (17 1 (:REWRITE MEMBER-OF-CAR))
 (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 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 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
 (125318 6668 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (117510 664 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (103890 4528 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (99357 17948 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (89527 3364 (:REWRITE SUBSETP-CAR-MEMBER))
 (54177 895 (:REWRITE SUBSETP-APPEND1))
 (51503 14501 (:REWRITE DEFAULT-CAR))
 (37236 9387 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (35680 981 (:REWRITE SUBSETP-OF-CONS))
 (33035 418 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (31323 606 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (28821 256 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (27617 14710 (:REWRITE DEFAULT-CDR))
 (22346 17 (:LINEAR NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-11))
 (22115 22115 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (22115 22115 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (22115 22115 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (22115 22115 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (22115 22115 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (22115 22115 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (22115 22115 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (22115 22115 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (19623 325 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (19478 575 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (18968 1630 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (16893 506 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (15952 12 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-12))
 (14606 7 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (13168 13168 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (11483 927 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (10713 409 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (10212 9380 (:REWRITE SUBSETP-TRANS2))
 (9702 12 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (9564 12 (:REWRITE TAKE-OF-LEN-FREE))
 (9428 9380 (:REWRITE SUBSETP-TRANS))
 (8778 824 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (8686 232 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (8266 981 (:REWRITE SUBSETP-CONS-2))
 (6028 815 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (5781 1197 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (5151 1520 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (4665 399 (:REWRITE MEMBER-OF-APPEND))
 (4645 2445 (:REWRITE DEFAULT-+-2))
 (4600 4600 (:REWRITE SUBSETP-MEMBER . 1))
 (4582 325 (:REWRITE LEN-WHEN-PREFIXP))
 (4515 56 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (4442 666 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (4148 280 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (4016 4016 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (3765 575 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (3475 759 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (3040 3040 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2978 211 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (2968 94 (:DEFINITION STRIP-CARS))
 (2958 125 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (2939 309 (:REWRITE NFIX-WHEN-ZP))
 (2748 121 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (2599 686 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (2585 130 (:REWRITE STR::CONSP-OF-EXPLODE))
 (2493 2445 (:REWRITE DEFAULT-+-1))
 (2390 13 (:REWRITE SUBSEQ-OF-LENGTH-1))
 (2324 2324 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (2016 32 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (2000 2000 (:REWRITE SUBSETP-NIL))
 (1910 1167 (:REWRITE DEFAULT-<-2))
 (1896 632 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1896 632 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1716 588 (:REWRITE CONSP-OF-LIST-FIX))
 (1701 1701 (:TYPE-PRESCRIPTION SET-EQUIV))
 (1621 215 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (1574 1574 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (1571 1167 (:REWRITE DEFAULT-<-1))
 (1523 1019 (:REWRITE SET-EQUIV-OF-NIL))
 (1509 399 (:REWRITE MEMBER-OF-CONS))
 (1505 72 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-5))
 (1482 1482 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (1358 1358 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (1358 1358 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (1264 1264 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (1248 288 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (1230 174 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (1200 418 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (1044 60 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (985 13 (:REWRITE THEN-SUBSEQ-SAME-2))
 (966 121 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (963 215 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (954 109 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (918 174 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (792 4 (:REWRITE NAT-LISTP-OF-BINARY-APPEND))
 (787 211 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (775 13 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-2))
 (773 173 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (768 256 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (755 755 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (693 9 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-29))
 (654 142 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (641 575 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (632 632 (:LINEAR POSITION-WHEN-MEMBER))
 (632 632 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (618 618 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (609 609 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (600 142 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (599 599 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (599 599 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (586 575 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (585 65 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (585 65 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (581 575 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (542 28 (:DEFINITION NATP))
 (502 502 (:TYPE-PRESCRIPTION D-E-P))
 (502 502 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (492 80 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (480 32 (:REWRITE CONSP-CAR-OF-FILE-TABLE-FIX))
 (480 32 (:REWRITE CONSP-CAR-OF-FD-TABLE-FIX))
 (471 471 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (448 60 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (448 4 (:REWRITE NAT-LISTP-OF-CONS))
 (444 12 (:DEFINITION LENGTH))
 (430 36 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (424 424 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (414 47 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (400 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-APPEND))
 (374 374 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (374 187 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (356 8 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (336 24 (:REWRITE TRUE-LISTP-OF-CDR-OF-ASSOC-WHEN-SYMBOL-TRUELIST-ALISTP))
 (336 24 (:REWRITE TRUE-LISTP-OF-CDR-OF-ASSOC-WHEN-KEYWORD-TRUELIST-ALISTP))
 (320 64 (:LINEAR NTH-WHEN-D-E-P))
 (280 4 (:DEFINITION INTEGER-LISTP))
 (273 273 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (252 9 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-24))
 (242 42 (:REWRITE NTH-WHEN-PREFIXP))
 (233 233 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (232 232 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (232 232 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (232 232 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (216 24 (:REWRITE SYMBOL-TRUELIST-ALISTP-WHEN-NOT-CONSP))
 (216 24 (:REWRITE KEYWORD-TRUELIST-ALISTP-WHEN-NOT-CONSP))
 (215 215 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (215 215 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (204 12 (:REWRITE CDR-OF-APPEND-WHEN-CONSP))
 (200 8 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (195 195 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (193 193 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (187 187 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (187 187 (:REWRITE SET::IN-SET))
 (175 175 (:REWRITE SUBLISTP-COMPLETE))
 (153 18 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-24))
 (152 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CONS))
 (149 149 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (139 9 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-22))
 (130 130 (:REWRITE FILE-TABLE-P-WHEN-SUBSETP-EQUAL))
 (130 130 (:REWRITE FD-TABLE-P-WHEN-SUBSETP-EQUAL))
 (112 16 (:REWRITE FAT32-MASKED-ENTRY-P-OF-CAR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (104 12 (:REWRITE CAR-OF-APPEND))
 (101 101 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 2))
 (98 98 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP))
 (98 98 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP))
 (96 1 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (90 30 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (84 84 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (81 18 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (81 9 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-34))
 (81 9 (:REWRITE CONSP-OF-STRIP-CARS))
 (76 4 (:REWRITE NATP-OF-CAR-WHEN-NAT-LISTP))
 (76 4 (:REWRITE NAT-LISTP-OF-LIST-FIX))
 (72 8 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (60 60 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (60 60 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (56 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-TRUE-LIST-FIX))
 (52 52 (:TYPE-PRESCRIPTION MAKE-D-E-LIST))
 (52 26 (:REWRITE DEFAULT-*-2))
 (50 50 (:REWRITE SUBSETP-OF-CDR))
 (48 48 (:TYPE-PRESCRIPTION TAKE))
 (48 48 (:REWRITE SYMBOL-TRUELIST-ALISTP-WHEN-SUBSETP-EQUAL))
 (48 48 (:REWRITE KEYWORD-TRUELIST-ALISTP-WHEN-SUBSETP-EQUAL))
 (44 4 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (36 12 (:REWRITE TAKE-OF-TOO-MANY))
 (36 2 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (35 35 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (32 32 (:TYPE-PRESCRIPTION FAT32-MASKED-ENTRY-P))
 (28 4 (:REWRITE NAT-LISTP-OF-APPEND-WEAK))
 (26 26 (:REWRITE DEFAULT-*-1))
 (24 24 (:TYPE-PRESCRIPTION NATP))
 (24 8 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-LIST-FIX))
 (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 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 (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))
 (2 1 (:REWRITE SET-EQUIV-ASYM))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-18
 (44008 366 (:REWRITE LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (43130 207 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (42668 35 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (42616 71 (:REWRITE SUBLISTP-WHEN-PREFIXP))
 (36616 339 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (35145 1825 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (32555 316 (:REWRITE PREFIXP-WHEN-EQUAL-LENGTHS))
 (31598 257 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (28474 90 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (19869 5837 (:REWRITE DEFAULT-CDR))
 (14907 4373 (:REWRITE DEFAULT-CAR))
 (14639 366 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (12656 2364 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (11918 73 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (10047 1931 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (9510 842 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (9389 366 (:REWRITE LEN-WHEN-PREFIXP))
 (7925 7925 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (7925 7925 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (7925 7925 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (7925 7925 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (7925 7925 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (7925 7925 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (7925 7925 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (7925 7925 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (6405 471 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (6210 179 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (6059 496 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (6004 165 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (5907 316 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 2))
 (5119 660 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (5004 183 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (4132 660 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (3713 167 (:REWRITE NFIX-WHEN-ZP))
 (3648 3648 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (3593 73 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (3382 1928 (:REWRITE DEFAULT-+-2))
 (3369 49 (:REWRITE NTHCDR-WHEN->=-N-LEN-L))
 (3267 316 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (3115 316 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (3076 3076 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (2627 1 (:REWRITE LIST-EQUIV-OF-NIL-RIGHT))
 (2363 364 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (2308 124 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2290 80 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (2129 202 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1960 248 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1935 1928 (:REWRITE DEFAULT-+-1))
 (1915 1915 (:REWRITE SUBSETP-TRANS2))
 (1915 1915 (:REWRITE SUBSETP-TRANS))
 (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))
 (1680 100 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (1651 660 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1647 271 (:REWRITE CONSP-OF-LIST-FIX))
 (1613 75 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1583 23 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (1443 309 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1347 119 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (1319 179 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
 (1196 1196 (:REWRITE SUBSETP-MEMBER . 1))
 (1192 402 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (1164 388 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (1150 1150 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (1140 697 (:REWRITE DEFAULT-<-2))
 (1090 16 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (1085 697 (:REWRITE DEFAULT-<-1))
 (1054 263 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (1008 316 (:REWRITE PREFIXP-TRANSITIVE . 2))
 (985 197 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (918 26 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-5))
 (917 35 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (825 15 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (771 179 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (671 671 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (616 72 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (575 575 (:LINEAR POSITION-WHEN-MEMBER))
 (575 575 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (567 71 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (511 71 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (465 465 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (465 5 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (457 2 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (441 66 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (430 430 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (407 407 (:TYPE-PRESCRIPTION SUBLISTP))
 (395 10 (:REWRITE STR::CONSP-OF-EXPLODE))
 (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))
 (320 78 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (301 301 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (276 78 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (257 257 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (238 58 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (235 28 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (216 1 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (211 1 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (183 183 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (183 183 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (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 SET::NONEMPTY-MEANS-SET))
 (126 10 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (116 116 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (107 107 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (100 20 (:LINEAR NTH-WHEN-D-E-P))
 (82 82 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (80 2 (:REWRITE LEN-OF-NTHCDR))
 (72 72 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (71 71 (:REWRITE SUBLISTP-COMPLETE))
 (66 66 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (66 66 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (66 66 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (66 66 (:REWRITE SET::IN-SET))
 (64 16 (:REWRITE NTH-WHEN-PREFIXP))
 (58 10 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (51 51 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (35 35 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-38))
 (35 35 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-35))
 (30 30 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP))
 (30 30 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP))
 (29 29 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1))
 (25 25 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (18 10 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (18 10 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (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 FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (10 10 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (9 1 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-5))
 (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 M1-FILE-CONTENTS-P-OF-M1-FILE->CONTENTS))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-19
 (20146 4 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (12601 474 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (9710 31 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (7462 236 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (7190 316 (:DEFINITION ASSOC-EQUAL))
 (4314 293 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (3866 1050 (:REWRITE DEFAULT-CAR))
 (3729 100 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-23))
 (3494 954 (:REWRITE DEFAULT-CDR))
 (3460 106 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (3304 236 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (2971 120 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (2916 8 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (2873 62 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (2833 293 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (2325 79 (:REWRITE HIFAT-FILE-ALIST-FIX-WHEN-HIFAT-NO-DUPS-P))
 (2278 686 (:TYPE-PRESCRIPTION NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-22))
 (1851 601 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (1700 260 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1652 236 (:REWRITE HIFAT-SUBSETP-REFLEXIVE))
 (1390 1390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (1390 1390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (1390 1390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (1390 1390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (1390 1390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (1390 1390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (1390 1390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (1390 1390 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (1266 171 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (948 948 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (818 34 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (772 772 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (686 686 (:TYPE-PRESCRIPTION HIFAT-ENTRY-COUNT))
 (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))
 (478 238 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (394 394 (:TYPE-PRESCRIPTION HIFAT-NO-DUPS-P))
 (358 124 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (336 24 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (321 73 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (303 303 (:TYPE-PRESCRIPTION M1-FILE-P))
 (293 53 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (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))
 (238 238 (:REWRITE SUBSETP-TRANS2))
 (238 238 (:REWRITE SUBSETP-TRANS))
 (170 170 (:TYPE-PRESCRIPTION ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (163 7 (:REWRITE NTH-WHEN->=-N-LEN-L))
 (150 150 (:REWRITE SUBSETP-MEMBER . 1))
 (132 18 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (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))
 (95 87 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-25))
 (93 7 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (91 91 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (81 81 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (76 13 (:DEFINITION LEN))
 (70 14 (:LINEAR NTH-WHEN-D-E-P))
 (58 58 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (57 57 (:REWRITE HIFAT-SUBSETP-TRANSITIVE-LEMMA-1))
 (46 46 (:REWRITE FAT32-FILENAME-P-OF-BASENAME))
 (43 7 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (40 20 (:REWRITE DEFAULT-<-2))
 (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))
 (20 2 (:REWRITE SET-EQUIV-OF-NIL))
 (19 19 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (18 18 (:REWRITE HIFAT-SUBSETP-TRANSITIVE))
 (18 2 (:DEFINITION ATOM))
 (16 16 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (15 7 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (15 7 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (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 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))
 (2 2 (:REWRITE SUBSETP-NIL))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-20
 (29084 33 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-51))
 (28906 161 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (28676 1484 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (24320 307 (:REWRITE PREFIXP-WHEN-PREFIXP))
 (20726 70 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-33))
 (12495 90 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (11902 3320 (:REWRITE DEFAULT-CAR))
 (9376 70 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (8901 1488 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (7622 1287 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (6359 6359 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (6359 6359 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (6359 6359 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (6359 6359 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (6359 6359 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (6359 6359 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (6359 6359 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (6359 6359 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (5810 175 (:REWRITE LEN-WHEN-PREFIXP))
 (5212 146 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (4673 70 (:REWRITE ABS-MKDIR-CORRECTNESS-LEMMA-49))
 (4516 120 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (4276 175 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4222 395 (:REWRITE HIFAT-TO-LOFAT-INVERSION-LEMMA-2))
 (3534 286 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (2948 2948 (:TYPE-PRESCRIPTION DIR-STREAM->FILE-LIST$INLINE))
 (2927 84 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (2424 131 (:REWRITE NFIX-WHEN-ZP))
 (2185 1122 (:REWRITE DEFAULT-+-2))
 (2028 316 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (2000 110 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (1747 137 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-29))
 (1735 185 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (1708 1708 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (1602 52 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1546 1546 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (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))
 (1230 270 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-6))
 (1207 143 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1202 250 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1139 147 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (1123 1122 (:REWRITE DEFAULT-+-1))
 (1094 198 (:REWRITE CONSP-OF-LIST-FIX))
 (1038 346 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (1038 346 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (1027 233 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (1002 57 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (950 312 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (938 13 (:REWRITE M1-FILE-ALIST-P-OF-M1-FILE->CONTENTS))
 (911 191 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (907 907 (:REWRITE SUBSETP-MEMBER . 1))
 (903 191 (:REWRITE PREFIXP-WHEN-NOT-CONSP-LEFT))
 (860 33 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-7))
 (813 177 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (785 475 (:REWRITE DEFAULT-<-2))
 (749 85 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (709 85 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (698 146 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (696 696 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (684 475 (:REWRITE DEFAULT-<-1))
 (619 106 (:REWRITE HIFAT-PLACE-FILE-CORRECTNESS-LEMMA-3))
 (617 137 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (600 120 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (600 120 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (599 1 (:REWRITE ABS-PWRITE-CORRECTNESS-LEMMA-15))
 (498 75 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (486 162 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (480 480 (:REWRITE M1-FILE-ALIST-P-OF-HIFAT-FILE-ALIST-FIX))
 (375 75 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (351 13 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (346 346 (:LINEAR POSITION-WHEN-MEMBER))
 (346 346 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (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))
 (269 269 (:REWRITE FAT32-FILENAME-P-OF-FAT32-FILENAME-FIX))
 (242 4 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (225 2 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (222 24 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (216 24 (:REWRITE APPEND-WHEN-NOT-CONSP))
 (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))
 (169 13 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (165 165 (:TYPE-PRESCRIPTION M1-FILE-P))
 (154 2 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-29))
 (150 150 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (150 75 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (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))
 (127 15 (:REWRITE NTH-WHEN-PREFIXP))
 (125 125 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-3))
 (118 24 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (117 13 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (117 13 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (100 100 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (98 98 (:REWRITE SUBLISTP-COMPLETE))
 (88 2 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (86 86 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 1))
 (86 2 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-5))
 (80 4 (:DEFINITION STRIP-CARS))
 (79 79 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (75 75 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (75 75 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (75 75 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (75 75 (:REWRITE SET::IN-SET))
 (69 13 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (68 68 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (56 2 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-24))
 (46 46 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-3))
 (39 13 (:REWRITE M1-FILE-FIX-WHEN-M1-FILE-P))
 (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 TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP))
 (24 24 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP))
 (24 16 (:REWRITE STR::CONSP-OF-EXPLODE))
 (18 4 (:LINEAR HIFAT-ENTRY-COUNT-WHEN-HIFAT-SUBSETP))
 (18 2 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-34))
 (18 2 (:REWRITE CONSP-OF-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 FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (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-22))
 (2 2 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-19))
 )
(HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-2
 (3365025 940 (:REWRITE CONSP-OF-CDR-OF-NTHCDR))
 (2553726 2981 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (2549705 8015 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (2227998 55841 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1967753 55841 (:REWRITE LEN-WHEN-PREFIXP))
 (1786108 24114 (:REWRITE FAT32-FILENAME-LIST-P-OF-LIST-FIX))
 (1728297 1269 (:REWRITE PREFIXP-OF-CONS-RIGHT))
 (1591425 47021 (:REWRITE LIST-FIX-WHEN-LEN-ZERO))
 (1187014 393 (:REWRITE SUBSETP-OF-CONS))
 (1103364 1103364 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 2))
 (1103364 1103364 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP . 1))
 (1103364 1103364 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 2))
 (1103364 1103364 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-SYMBOL-SYMBOL-ALISTP . 1))
 (1103364 1103364 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 2))
 (1103364 1103364 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP . 1))
 (1103364 1103364 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 2))
 (1103364 1103364 (:REWRITE CONSP-WHEN-MEMBER-EQUAL-OF-KEYWORD-SYMBOL-ALISTP . 1))
 (925500 53876 (:REWRITE PREFIXP-WHEN-NOT-CONSP-RIGHT))
 (757175 4463 (:REWRITE MEMBER-OF-REMOVE))
 (680083 452 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-23))
 (627397 531291 (:REWRITE DEFAULT-+-1))
 (532707 83 (:REWRITE SUBSETP-APPEND1))
 (442875 60648 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (386917 87431 (:REWRITE LIST-EQUIV-WHEN-ATOM-LEFT))
 (295677 53989 (:REWRITE CONSP-OF-STRIP-CARS))
 (283399 19052 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (257524 42895 (:REWRITE SET::SETS-ARE-TRUE-LISTS-CHEAP))
 (215804 143979 (:REWRITE PREFIXP-TRANSITIVE . 1))
 (214447 42895 (:REWRITE TRUE-LISTP-WHEN-D-E-P))
 (205616 144031 (:REWRITE PREFIXP-ONE-WAY-OR-ANOTHER . 1))
 (203969 24865 (:REWRITE SUBLISTP-WHEN-ATOM-LEFT))
 (145817 65756 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (142477 73597 (:REWRITE DEFAULT-<-2))
 (137429 231 (:REWRITE SUBSETP-OF-APPEND-WHEN-SUBSET-OF-EITHER))
 (137216 137216 (:LINEAR LOWER-BOUND-OF-LEN-WHEN-SUBLISTP))
 (131027 67688 (:LINEAR POSITION-WHEN-MEMBER))
 (129537 73597 (:REWRITE DEFAULT-<-1))
 (112202 60906 (:REWRITE CONSP-OF-LIST-FIX))
 (101088 33152 (:REWRITE CDR-OF-LIST-FIX))
 (96065 87669 (:REWRITE LIST-EQUIV-WHEN-ATOM-RIGHT))
 (93982 756 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-4))
 (92729 1442 (:REWRITE FAT32-FILENAME-LIST-P-OF-CDR-WHEN-FAT32-FILENAME-LIST-P))
 (87596 87596 (:TYPE-PRESCRIPTION D-E-P))
 (87568 87568 (:REWRITE D-E-P-WHEN-MEMBER-EQUAL-OF-D-E-LIST-P))
 (85776 85776 (:TYPE-PRESCRIPTION SET::SETP-TYPE))
 (85776 42888 (:REWRITE SET::NONEMPTY-MEANS-SET))
 (67891 1757 (:REWRITE CONSP-OF-ASSOC-OF-HIFAT-FILE-ALIST-FIX))
 (66586 33293 (:REWRITE CAR-OF-LIST-FIX))
 (66496 65274 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (61688 47021 (:REWRITE LIST-FIX-WHEN-NOT-CONSP))
 (55499 20221 (:REWRITE ABS-LSTAT-REFINEMENT-LEMMA-1))
 (44755 44755 (:TYPE-PRESCRIPTION SET-DIFFERENCE-EQUAL))
 (43317 24361 (:REWRITE CONSP-OF-ASSOC-WHEN-HIFAT-EQUIV-LEMMA-1))
 (42895 42895 (:REWRITE TRUE-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (42895 42895 (:REWRITE TRUE-LISTP-WHEN-FUNCTION-SYMBOL-LISTP))
 (42888 42888 (:TYPE-PRESCRIPTION SET::EMPTYP-TYPE))
 (42888 42888 (:REWRITE SET::IN-SET))
 (39153 13051 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (38994 38994 (:REWRITE HIFAT-SUBSETP-PRESERVES-ASSOC))
 (38397 12599 (:REWRITE INTERSECT-WITH-SUBSET . 7))
 (32929 24865 (:REWRITE SUBLISTP-WHEN-ATOM-RIGHT))
 (31640 7758 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (26102 26102 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (25141 25141 (:REWRITE SUBLISTP-COMPLETE))
 (22606 1163 (:REWRITE GET-NAMES-FROM-DIRP-ALT-LEMMA-3))
 (21669 6532 (:REWRITE NTH-WHEN-PREFIXP))
 (20604 20604 (:TYPE-PRESCRIPTION REMOVE-EQUAL))
 (20234 2422 (:REWRITE HIFAT-SUBSETP-WHEN-ATOM))
 (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$-WHEN-SUBSETP-1 . 1))
 (15361 3252 (:REWRITE FD-TABLE-FIX-WHEN-FD-TABLE-P))
 (14697 2616 (:REWRITE FILE-TABLE-FIX-WHEN-FILE-TABLE-P))
 (14413 1311 (:REWRITE SUBSETP-CONS-2))
 (14065 4833 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (13972 13972 (:REWRITE LIST-FIX-UNDER-IFF))
 (13086 83 (:REWRITE MEMBER-OF-APPEND))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 12))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 11))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 9))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 8))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 6))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 5))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 4))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 3))
 (12599 12599 (:REWRITE INTERSECT-WITH-SUBSET . 2))
 (12313 11801 (:TYPE-PRESCRIPTION POSITION-EQUAL-AC-WHEN-MEMBER))
 (12108 2018 (:TYPE-PRESCRIPTION ASSOC-OF-APPEND-2))
 (11920 107 (:REWRITE NTHCDR-WHEN->=-N-LEN-L-UNDER-LIST-EQUIV))
 (11309 462 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
 (10896 10611 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (10866 399 (:REWRITE MEMBER-OF-CONS))
 (8618 230 (:REWRITE POSITION-OF-CDR))
 (8325 925 (:REWRITE FILE-TABLE-P-WHEN-NOT-CONSP))
 (8325 925 (:REWRITE FD-TABLE-P-WHEN-NOT-CONSP))
 (8306 8306 (:REWRITE NON-FREE-INDEX-LISTP-CORRECTNESS-2 . 1))
 (8306 8306 (:REWRITE FREE-INDEX-LISTP-CORRECTNESS-1))
 (8226 214 (:REWRITE LEN-OF-NTHCDR))
 (8006 8006 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (8006 8006 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (7937 7937 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (7802 1429 (:REWRITE SET-DIFFERENCE$-OF-REMOVE-WHEN-MEMBER-1))
 (7137 7137 (:REWRITE SUBSETP-OF-REMOVE))
 (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))
 (5379 457 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (5276 1689 (:REWRITE LIST-EQUIV-OF-NIL-LEFT))
 (5209 1781 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (5089 1566 (:REWRITE STR::CONSP-OF-EXPLODE))
 (5076 1692 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (5043 96 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (4536 924 (:LINEAR NTH-WHEN-D-E-P))
 (3866 3866 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-40 . 2))
 (3621 1795 (:REWRITE APPEND-ATOM-UNDER-LIST-EQUIV))
 (3416 244 (:REWRITE LEN-OF-STRIP-CARS))
 (3402 468 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (3395 457 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (2778 306 (:REWRITE DIR-STREAM-TABLE-P-WHEN-NOT-CONSP))
 (2671 50 (:LINEAR LOFAT-PLACE-FILE-HELPER-GUARD-LEMMA-1))
 (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))
 (2279 163 (:REWRITE CONSP-CAR-OF-DIR-STREAM-TABLE-FIX))
 (2240 56 (:REWRITE FAT32-FILENAME-P-OF-NTH-WHEN-FAT32-FILENAME-LIST-P))
 (2132 2132 (:TYPE-PRESCRIPTION FAT32-PATH-TO-PATH))
 (1908 1908 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-LEMMA-4))
 (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))
 (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))
 (1556 1556 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-SYMBOL-TRUELIST-ALISTP))
 (1556 1556 (:REWRITE TRUE-LISTP-OF-CDR-WHEN-MEMBER-EQUAL-OF-KEYWORD-TRUELIST-ALISTP))
 (1465 783 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (1233 48 (:REWRITE EQUAL-OF-DIR-STREAM))
 (902 25 (:LINEAR M1-REGULAR-FILE-P-CORRECTNESS-2))
 (899 25 (:LINEAR LEN-OF-EXPLODE-WHEN-M1-FILE-CONTENTS-P-1))
 (867 867 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 (767 12 (:REWRITE HIFAT-SUBSETP-REFLEXIVE-LEMMA-3))
 (664 664 (:REWRITE NO-DUPLICATESP-OF-STRIP-CARS-OF-HIFAT-TAR-NAME-LIST-ALIST-LEMMA-15))
 (584 13 (:REWRITE HIFAT-TAR-NAME-LIST-ALIST-CORRECTNESS-LEMMA-17 . 2))
 (522 87 (:REWRITE LEN-OF-LIST-FIX))
 (513 513 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (512 512 (:TYPE-PRESCRIPTION NATP-POSITION-AC))
 (470 470 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (457 457 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (457 457 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (432 216 (:REWRITE DEFAULT-UNARY-MINUS))
 (352 12 (:REWRITE LAST-WHEN-EQUAL-LEN-1))
 (263 263 (:TYPE-PRESCRIPTION NATP))
 (235 235 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
 (234 6 (:DEFINITION LAST))
 (233 233 (:LINEAR LISTPOS-COMPLETE))
 (156 2 (:REWRITE NAT-LISTP-OF-BINARY-APPEND))
 (153 153 (:REWRITE-QUOTED-CONSTANT FILE-TABLE-FIX-UNDER-FILE-TABLE-EQUIV))
 (153 153 (:REWRITE-QUOTED-CONSTANT FD-TABLE-FIX-UNDER-FD-TABLE-EQUIV))
 (138 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))
 (14 2 (:REWRITE NAT-LISTP-OF-APPEND-WEAK))
 (12 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-TRUE-LIST-FIX))
 (12 4 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-LIST-FIX))
 (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))
 )