(HIFAT-CLUSTER-COUNT
 (3010 13 (:DEFINITION ACL2-COUNT))
 (1704 10 (:REWRITE RATIONALP-OF-CAR-WHEN-RATIONAL-LISTP))
 (1623 10 (:REWRITE RATIONAL-LISTP-WHEN-INTEGER-LISTP))
 (1526 26 (:DEFINITION INTEGER-LISTP))
 (1482 63 (:REWRITE INTEGER-LISTP-WHEN-NAT-LISTP))
 (1375 5 (:DEFINITION RATIONAL-LISTP))
 (804 103 (:REWRITE NAT-LISTP-IF-FAT32-MASKED-ENTRY-LIST-P))
 (755 40 (:REWRITE INTEGER-LISTP-OF-CDR-WHEN-INTEGER-LISTP))
 (624 52 (:REWRITE NAT-LISTP-OF-CDR-WHEN-NAT-LISTP))
 (411 35 (:REWRITE INTEGERP-OF-CAR-WHEN-INTEGER-LISTP))
 (362 130 (:REWRITE DEFAULT-+-2))
 (317 65 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-OF-CDR-WHEN-FAT32-MASKED-ENTRY-LIST-P))
 (220 10 (:REWRITE LENGTH-WHEN-STRINGP))
 (212 130 (:REWRITE DEFAULT-+-1))
 (204 24 (:DEFINITION LEN))
 (186 3 (:DEFINITION HIFAT-CLUSTER-COUNT))
 (170 140 (:REWRITE DEFAULT-CDR))
 (160 20 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (153 153 (:REWRITE DEFAULT-CAR))
 (147 147 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-NOT-CONSP))
 (147 147 (:REWRITE FAT32-MASKED-ENTRY-LIST-P-WHEN-BOUNDED-NAT-LISTP))
 (103 103 (:REWRITE NAT-LISTP-WHEN-UNSIGNED-BYTE-LISTP))
 (103 103 (:REWRITE NAT-LISTP-WHEN-NOT-CONSP))
 (103 103 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
 (100 20 (:REWRITE COMMUTATIVITY-OF-+))
 (80 20 (:DEFINITION INTEGER-ABS))
 (74 10 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (63 63 (:REWRITE INTEGER-LISTP-WHEN-NOT-CONSP))
 (48 8 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (45 6 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (40 40 (:TYPE-PRESCRIPTION FAT32-FILENAME-P))
 (40 40 (:REWRITE FAT32-FILENAME-P-WHEN-MEMBER-EQUAL-OF-FAT32-FILENAME-LIST-P))
 (32 16 (:REWRITE DEFAULT-*-2))
 (30 30 (:TYPE-PRESCRIPTION STR::TRUE-LISTP-OF-EXPLODE))
 (30 20 (:REWRITE STR::CONSP-OF-EXPLODE))
 (29 27 (:REWRITE DEFAULT-<-2))
 (29 27 (:REWRITE DEFAULT-<-1))
 (27 26 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (26 26 (:REWRITE FOLD-CONSTS-IN-+))
 (24 6 (:REWRITE NFIX-WHEN-ZP))
 (24 4 (:REWRITE NONEMPTY-STRINGP-OF-CAR-WHEN-NONEMPTY-STRING-LISTP))
 (20 20 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (20 20 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (20 20 (:REWRITE DEFAULT-UNARY-MINUS))
 (20 10 (:REWRITE STR::COERCE-TO-LIST-REMOVAL))
 (18 9 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (17 1 (:LINEAR ACL2-COUNT-OF-M1-FILE->CONTENTS . 1))
 (16 16 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (16 16 (:REWRITE DEFAULT-*-1))
 (13 1 (:REWRITE ACL2-COUNT-WHEN-MEMBER))
 (12 6 (:REWRITE RATIONAL-LISTP-OF-CDR-WHEN-RATIONAL-LISTP))
 (12 2 (:REWRITE FAT32-FILENAME-P-OF-CAAR-WHEN-M1-FILE-ALIST-P))
 (11 11 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (11 3 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (10 10 (:REWRITE RATIONAL-LISTP-WHEN-NOT-CONSP))
 (10 10 (:REWRITE STR::EXPLODE-WHEN-NOT-STRINGP))
 (10 10 (:REWRITE DEFAULT-REALPART))
 (10 10 (:REWRITE DEFAULT-NUMERATOR))
 (10 10 (:REWRITE DEFAULT-IMAGPART))
 (10 10 (:REWRITE DEFAULT-DENOMINATOR))
 (9 9 (:TYPE-PRESCRIPTION ATOM))
 (9 3 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (8 8 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-SUBSETP-EQUAL))
 (8 8 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (8 1 (:DEFINITION MEMBER-EQUAL))
 (6 6 (:LINEAR ACL2-COUNT-WHEN-MEMBER))
 (5 5 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
 (4 4 (:REWRITE NONEMPTY-STRING-LISTP-WHEN-NOT-CONSP))
 (3 3 (:REWRITE SUBSETP-TRANS2))
 (3 3 (:REWRITE SUBSETP-TRANS))
 (3 3 (:LINEAR ACL2-COUNT-OF-CONSP-POSITIVE))
 (2 2 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (2 2 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (2 2 (:REWRITE SUBSETP-MEMBER . 2))
 (2 2 (:REWRITE SUBSETP-MEMBER . 1))
 (1 1 (:LINEAR ACL2-COUNT-CAR-CDR-LINEAR))
 )
(HIFAT-CLUSTER-COUNT-OF-PUT-ASSOC
 (34550 17275 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (30794 2734 (:REWRITE ZP-OPEN))
 (24953 472 (:DEFINITION NATP))
 (22207 5034 (:REWRITE DEFAULT-+-2))
 (10060 1304 (:DEFINITION LEN))
 (8334 2040 (:REWRITE DEFAULT-<-1))
 (7697 5034 (:REWRITE DEFAULT-+-1))
 (7686 2040 (:REWRITE DEFAULT-<-2))
 (5262 4744 (:REWRITE DEFAULT-CDR))
 (4480 1120 (:LINEAR PAINFUL-DEBUGGING-LEMMA-9))
 (4480 1120 (:LINEAR PAINFUL-DEBUGGING-LEMMA-10))
 (2478 2369 (:REWRITE DEFAULT-CAR))
 (2442 1221 (:REWRITE DEFAULT-*-2))
 (2360 1180 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (2053 158 (:REWRITE PUT-ASSOC-EQUAL-WITHOUT-CHANGE . 2))
 (1221 1221 (:REWRITE DEFAULT-*-1))
 (1180 1180 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (1180 1180 (:TYPE-PRESCRIPTION ATOM))
 (1006 1006 (:REWRITE FOLD-CONSTS-IN-+))
 (472 472 (:TYPE-PRESCRIPTION NATP))
 (456 38 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (356 356 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (267 89 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (267 89 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (236 108 (:REWRITE DEFAULT-UNARY-MINUS))
 (178 178 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (120 120 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (89 89 (:LINEAR POSITION-WHEN-MEMBER))
 (89 89 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (78 39 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (39 39 (:REWRITE SUBSETP-TRANS2))
 (39 39 (:REWRITE SUBSETP-TRANS))
 (9 9 (:REWRITE-QUOTED-CONSTANT M1-FILE-FIX-UNDER-M1-FILE-EQUIV))
 )
(HIFAT-CLUSTER-COUNT-OF-HIFAT-PLACE-FILE-LEMMA-2
 (261 87 (:TYPE-PRESCRIPTION ASSOC-WHEN-ZP-LEN))
 (91 28 (:REWRITE DEFAULT-CDR))
 (78 5 (:REWRITE M1-DIRECTORY-FILE-P-WHEN-M1-FILE-P))
 (54 6 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (54 5 (:REWRITE HIFAT-FIND-FILE-CORRECTNESS-1-LEMMA-1))
 (38 7 (:DEFINITION ASSOC-EQUAL))
 (32 4 (:DEFINITION MEMBER-EQUAL))
 (30 30 (:REWRITE DEFAULT-CAR))
 (21 6 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (18 4 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (12 12 (:TYPE-PRESCRIPTION M1-REGULAR-FILE-P))
 (12 6 (:REWRITE DEFAULT-+-2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 2))
 (8 8 (:REWRITE SUBSETP-MEMBER . 1))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (6 6 (:REWRITE DEFAULT-+-1))
 (6 2 (:REWRITE M1-REGULAR-FILE-P-CORRECTNESS-1))
 (3 3 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (3 3 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (3 3 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3 3 (:REWRITE SUBSETP-TRANS2))
 (3 3 (:REWRITE SUBSETP-TRANS))
 (3 3 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (3 1 (:REWRITE M1-READ-AFTER-WRITE-LEMMA-1))
 (3 1 (:REWRITE M1-FILE-P-WHEN-M1-REGULAR-FILE-P))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-SUBSETP-EQUAL))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:REWRITE FAT32-FILENAME-LIST-P-WHEN-NOT-CONSP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(HIFAT-CLUSTER-COUNT-OF-HIFAT-PLACE-FILE-LEMMA-3
 (10 5 (:REWRITE DEFAULT-+-2))
 (6 6 (:TYPE-PRESCRIPTION HIFAT-BOUNDED-FILE-ALIST-P))
 (5 5 (:REWRITE DEFAULT-CDR))
 (5 5 (:REWRITE DEFAULT-+-1))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 2))
 (3 1 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 1))
 (2 2 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (1 1 (:LINEAR POSITION-WHEN-MEMBER))
 (1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 )
(HIFAT-CLUSTER-COUNT-OF-HIFAT-PLACE-FILE-LEMMA-6
 (20 2 (:REWRITE CANCEL-FLOOR-+))
 (8 8 (:TYPE-PRESCRIPTION ZP))
 (8 4 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (4 4 (:TYPE-PRESCRIPTION NOT-INTEGERP-4B))
 (4 4 (:TYPE-PRESCRIPTION NOT-INTEGERP-3B))
 (4 4 (:TYPE-PRESCRIPTION NOT-INTEGERP-2B))
 (4 4 (:REWRITE NORMALIZE-TERMS-SUCH-AS-1/AX+BX))
 (4 4 (:REWRITE NORMALIZE-FACTORS-GATHER-EXPONENTS))
 (4 4 (:REWRITE DEFAULT-UNARY-/))
 (4 4 (:REWRITE DEFAULT-*-2))
 (4 4 (:REWRITE DEFAULT-*-1))
 (2 2 (:REWRITE FLOOR-ZERO . 4))
 (2 2 (:REWRITE FLOOR-MINUS-WEAK))
 (2 2 (:REWRITE FLOOR-MINUS-2))
 (2 2 (:REWRITE FLOOR-CANCEL-*-WEAK))
 (1 1 (:REWRITE SIMPLIFY-SUMS-<))
 (1 1 (:REWRITE SIMPLIFY-PRODUCTS-GATHER-EXPONENTS-<))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-TWO))
 (1 1 (:REWRITE REMOVE-WEAK-INEQUALITIES-ONE))
 (1 1 (:REWRITE REDUCE-INTEGERP-+))
 (1 1 (:REWRITE PREFER-POSITIVE-ADDENDS-<))
 (1 1 (:REWRITE INTEGERP-MINUS-X))
 (1 1 (:REWRITE DEFAULT-<-2))
 (1 1 (:REWRITE DEFAULT-<-1))
 (1 1 (:REWRITE |(< (- x) (- y))|))
 (1 1 (:META META-INTEGERP-CORRECT))
 )
(HIFAT-CLUSTER-COUNT-OF-HIFAT-PLACE-FILE-LEMMA-5
 (32060 916 (:DEFINITION PUT-ASSOC-EQUAL))
 (31624 4354 (:REWRITE M1-FILE-ALIST-P-WHEN-SUBSETP-EQUAL))
 (31551 1583 (:DEFINITION MEMBER-EQUAL))
 (26924 620 (:REWRITE EQUAL-OF-M1-FILE))
 (25020 5727 (:REWRITE SUBSETP-WHEN-SUBSETP))
 (23033 22875 (:REWRITE DEFAULT-CDR))
 (20635 20625 (:REWRITE DEFAULT-CAR))
 (19963 53 (:REWRITE FAT32-FILENAME-P-CORRECTNESS-1))
 (18815 1451 (:REWRITE ASSOC-OF-CAR-WHEN-MEMBER))
 (13325 182 (:REWRITE ABS-FIND-FILE-CORRECTNESS-1-LEMMA-40))
 (12417 4875 (:REWRITE DEFAULT-+-2))
 (6188 4875 (:REWRITE DEFAULT-+-1))
 (5970 2985 (:TYPE-PRESCRIPTION PAINFUL-DEBUGGING-LEMMA-9))
 (5756 144 (:REWRITE TAKE-OF-TOO-MANY))
 (5083 48 (:REWRITE TAKE-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (4941 4941 (:REWRITE SUBSETP-TRANS2))
 (4941 4941 (:REWRITE SUBSETP-TRANS))
 (4629 1543 (:LINEAR LEN-WHEN-HIFAT-BOUNDED-FILE-ALIST-P . 3))
 (4604 4604 (:REWRITE SUBSETP-WHEN-ATOM-RIGHT))
 (4604 4604 (:REWRITE SUBSETP-WHEN-ATOM-LEFT))
 (3667 43 (:DEFINITION FAT32-FILENAME-LIST-PREFIXP))
 (3324 3324 (:LINEAR LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (3300 2018 (:REWRITE DEFAULT-<-2))
 (3166 3166 (:REWRITE SUBSETP-MEMBER . 2))
 (3166 3166 (:REWRITE SUBSETP-MEMBER . 1))
 (3062 144 (:REWRITE TAKE-OF-LEN-FREE))
 (2768 268 (:REWRITE NFIX-WHEN-ZP))
 (2527 2018 (:REWRITE DEFAULT-<-1))
 (2177 2177 (:REWRITE M1-FILE-ALIST-P-WHEN-NOT-CONSP))
 (1924 1924 (:REWRITE-QUOTED-CONSTANT FAT32-FILENAME-LIST-FIX-UNDER-FAT32-FILENAME-LIST-EQUIV))
 (1860 1860 (:TYPE-PRESCRIPTION M1-FILE))
 (1860 620 (:REWRITE D-E-FIX-WHEN-D-E-P))
 (1754 376 (:REWRITE M1-DIRECTORY-FILE-P-CORRECTNESS-1))
 (1662 1662 (:LINEAR POSITION-WHEN-MEMBER))
 (1662 1662 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
 (1292 646 (:REWRITE M1-FILE-CONTENTS-P-WHEN-STRINGP))
 (955 955 (:REWRITE-QUOTED-CONSTANT M1-FILE-CONTENTS-FIX-UNDER-M1-FILE-CONTENTS-EQUIV))
 (912 144 (:REWRITE TAKE-WHEN-ATOM))
 (760 328 (:REWRITE DEFAULT-*-2))
 (636 217 (:REWRITE DEFAULT-UNARY-MINUS))
 (620 620 (:TYPE-PRESCRIPTION D-E-P))
 (620 620 (:REWRITE D-E-P-OF-M1-FILE->D-E))
 (516 258 (:TYPE-PRESCRIPTION MAKE-CLUSTERS-OF-NIL))
 (416 26 (:REWRITE SUBSETP-IMPLIES-SUBSETP-CDR))
 (416 26 (:REWRITE FAT32-FILENAME-P-OF-CAR-WHEN-FAT32-FILENAME-LIST-P))
 (340 340 (:TYPE-PRESCRIPTION FAT32-FILENAME-FIX))
 (328 328 (:REWRITE DEFAULT-*-1))
 (265 53 (:REWRITE STRINGP-WHEN-NONEMPTY-STRINGP))
 (258 258 (:TYPE-PRESCRIPTION MAKE-CLUSTERS))
 (258 258 (:TYPE-PRESCRIPTION ATOM))
 (182 26 (:REWRITE CAR-OF-TAKE))
 (106 106 (:TYPE-PRESCRIPTION NONEMPTY-STRINGP))
 (106 106 (:REWRITE NONEMPTY-STRINGP-WHEN-MEMBER-EQUAL-OF-NONEMPTY-STRING-LISTP))
 (86 86 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-WHEN-ATOM-1))
 (86 86 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 2))
 (86 86 (:REWRITE FAT32-FILENAME-LIST-PREFIXP-TRANSITIVE . 1))
 (86 43 (:REWRITE LEN-WHEN-FAT32-FILENAME-LIST-PREFIXP))
 (43 43 (:TYPE-PRESCRIPTION FAT32-FILENAME-EQUIV$INLINE))
 (28 28 (:REWRITE FAT32-FILENAME-LIST-EQUIV-WHEN-ATOM-RIGHT))
 (4 4 (:REWRITE-QUOTED-CONSTANT NFIX-UNDER-NAT-EQUIV))
 )
(HIFAT-CLUSTER-COUNT-OF-HIFAT-PLACE-FILE)
