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|
(MV-NTH-REPLACEMENT
(11 5 (:REWRITE ZP-OPEN))
(7 7 (:REWRITE DEFAULT-+-2))
(7 7 (:REWRITE DEFAULT-+-1))
(6 2 (:REWRITE FOLD-CONSTS-IN-+))
(3 3 (:REWRITE DEFAULT-CDR))
(3 3 (:REWRITE DEFAULT-CAR))
(2 2 (:REWRITE DEFAULT-<-2))
(2 2 (:REWRITE DEFAULT-<-1))
(2 2 (:DEFINITION NOT))
)
(COUNT-FREE-BLOCKS
(2 2 (:REWRITE DEFAULT-CDR))
(2 2 (:REWRITE DEFAULT-CAR))
)
(COUNT-FREE-BLOCKS-CORRECTNESS-1
(108 54 (:TYPE-PRESCRIPTION TRUE-LISTP-APPEND))
(108 36 (:REWRITE DEFAULT-CDR))
(82 50 (:REWRITE DEFAULT-+-2))
(79 50 (:REWRITE DEFAULT-+-1))
(74 26 (:REWRITE DEFAULT-CAR))
(54 54 (:TYPE-PRESCRIPTION TRUE-LISTP))
(54 54 (:TYPE-PRESCRIPTION BINARY-APPEND))
(24 24 (:REWRITE CONSP-OF-APPEND))
(1 1 (:REWRITE FOLD-CONSTS-IN-+))
)
(COUNT-FREE-BLOCKS-CORRECTNESS-2
(88 52 (:REWRITE DEFAULT-+-2))
(82 52 (:REWRITE DEFAULT-+-1))
(60 36 (:REWRITE DEFAULT-CDR))
(38 26 (:REWRITE DEFAULT-CAR))
(4 4 (:REWRITE FOLD-CONSTS-IN-+))
)
(COUNT-FREE-BLOCKS-CORRECTNESS-3
(381 13 (:REWRITE NTH-WHEN->=-N-LEN-L))
(160 98 (:REWRITE DEFAULT-+-2))
(154 106 (:REWRITE DEFAULT-CDR))
(119 98 (:REWRITE DEFAULT-+-1))
(92 65 (:REWRITE DEFAULT-CAR))
(73 14 (:REWRITE NFIX-WHEN-ZP))
(64 30 (:REWRITE ZP-OPEN))
(58 45 (:REWRITE DEFAULT-<-2))
(49 13 (:REWRITE NFIX-WHEN-NATP))
(45 45 (:REWRITE DEFAULT-<-1))
(29 29 (:REWRITE SUBSETP-MEMBER . 4))
(29 29 (:REWRITE SUBSETP-MEMBER . 3))
(29 29 (:REWRITE SUBSETP-MEMBER . 2))
(29 29 (:REWRITE SUBSETP-MEMBER . 1))
(27 9 (:DEFINITION NATP))
(13 13 (:LINEAR POSITION-WHEN-MEMBER))
(13 13 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
(9 9 (:TYPE-PRESCRIPTION NATP))
(2 2 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
)
(FIND-N-FREE-BLOCKS-HELPER
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(81 58 (:REWRITE DEFAULT-+-1))
(48 12 (:REWRITE COMMUTATIVITY-OF-+))
(48 12 (:DEFINITION INTEGER-ABS))
(48 6 (:REWRITE LENGTH-WHEN-STRINGP))
(30 6 (:DEFINITION LEN))
(23 18 (:REWRITE DEFAULT-<-2))
(22 18 (:REWRITE DEFAULT-<-1))
(21 21 (:REWRITE DEFAULT-CDR))
(17 17 (:REWRITE FOLD-CONSTS-IN-+))
(12 12 (:REWRITE DEFAULT-UNARY-MINUS))
(12 12 (:REWRITE DEFAULT-CAR))
(6 6 (:TYPE-PRESCRIPTION LEN))
(6 6 (:REWRITE DEFAULT-REALPART))
(6 6 (:REWRITE DEFAULT-NUMERATOR))
(6 6 (:REWRITE DEFAULT-IMAGPART))
(6 6 (:REWRITE DEFAULT-DENOMINATOR))
(6 6 (:REWRITE DEFAULT-COERCE-2))
(6 6 (:REWRITE DEFAULT-COERCE-1))
(4 4 (:REWRITE ZP-OPEN))
)
(FIND-N-FREE-BLOCKS-HELPER-CORRECTNESS-1
(40 25 (:REWRITE DEFAULT-+-2))
(31 25 (:REWRITE DEFAULT-+-1))
(24 17 (:REWRITE DEFAULT-<-2))
(24 6 (:REWRITE COMMUTATIVITY-OF-+))
(18 17 (:REWRITE DEFAULT-<-1))
(15 14 (:REWRITE DEFAULT-CDR))
(13 13 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
(10 10 (:LINEAR POSITION-WHEN-MEMBER))
(10 10 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
(7 7 (:REWRITE ZP-OPEN))
(7 7 (:REWRITE DEFAULT-CAR))
(5 1 (:REWRITE NFIX-WHEN-NATP))
(4 1 (:REWRITE NFIX-WHEN-ZP))
(3 1 (:DEFINITION NATP))
(1 1 (:TYPE-PRESCRIPTION NATP))
)
(FIND-N-FREE-BLOCKS-HELPER-CORRECTNESS-2
(106 70 (:REWRITE DEFAULT-+-2))
(95 70 (:REWRITE DEFAULT-+-1))
(44 42 (:REWRITE DEFAULT-CDR))
(42 28 (:REWRITE DEFAULT-<-1))
(28 28 (:REWRITE DEFAULT-<-2))
(27 27 (:REWRITE DEFAULT-CAR))
(24 24 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
(22 22 (:LINEAR POSITION-WHEN-MEMBER))
(22 22 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
(15 10 (:REWRITE ZP-OPEN))
(6 2 (:DEFINITION NATP))
(2 2 (:TYPE-PRESCRIPTION NATP))
)
(FIND-N-FREE-BLOCKS-HELPER-CORRECTNESS-3
(13 12 (:REWRITE DEFAULT-CAR))
(12 12 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
(12 4 (:REWRITE COMMUTATIVITY-OF-+))
(11 11 (:REWRITE DEFAULT-<-2))
(11 11 (:REWRITE DEFAULT-<-1))
(11 10 (:REWRITE DEFAULT-CDR))
(10 10 (:REWRITE DEFAULT-+-2))
(10 10 (:REWRITE DEFAULT-+-1))
(5 5 (:REWRITE ZP-OPEN))
)
(FIND-N-FREE-BLOCKS-HELPER-CORRECTNESS-4
(182 9 (:DEFINITION SUBSETP-EQUAL))
(137 14 (:REWRITE SUBSETP-MEMBER . 3))
(112 28 (:REWRITE SUBSETP-MEMBER . 1))
(42 42 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
(29 27 (:REWRITE DEFAULT-CAR))
(28 28 (:REWRITE SUBSETP-MEMBER . 2))
(25 23 (:REWRITE DEFAULT-CDR))
(20 20 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
(18 18 (:REWRITE SUBSETP-TRANS2))
(18 18 (:REWRITE SUBSETP-TRANS))
(16 4 (:REWRITE COMMUTATIVITY-OF-+))
(14 14 (:REWRITE SUBSETP-MEMBER . 4))
(14 10 (:REWRITE DEFAULT-+-2))
(14 10 (:REWRITE DEFAULT-+-1))
(12 6 (:REWRITE DEFAULT-<-2))
(12 6 (:REWRITE DEFAULT-<-1))
(5 5 (:REWRITE ZP-OPEN))
)
(FIND-N-FREE-BLOCKS-HELPER-CORRECTNESS-5
(249 32 (:REWRITE NFIX-WHEN-ZP))
(227 193 (:REWRITE DEFAULT-<-2))
(201 193 (:REWRITE DEFAULT-<-1))
(200 149 (:REWRITE DEFAULT-+-2))
(182 9 (:DEFINITION SUBSETP-EQUAL))
(154 11 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
(149 149 (:REWRITE DEFAULT-+-1))
(145 22 (:REWRITE SUBSETP-MEMBER . 3))
(127 124 (:REWRITE DEFAULT-CDR))
(120 36 (:REWRITE SUBSETP-MEMBER . 1))
(118 14 (:DEFINITION NAT-LISTP))
(111 31 (:REWRITE NFIX-WHEN-NATP))
(90 87 (:REWRITE DEFAULT-CAR))
(63 37 (:REWRITE FOLD-CONSTS-IN-+))
(42 42 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
(36 36 (:REWRITE SUBSETP-MEMBER . 2))
(34 34 (:LINEAR POSITION-WHEN-MEMBER))
(34 34 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
(25 25 (:REWRITE DEFAULT-UNARY-MINUS))
(23 23 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
(22 22 (:REWRITE SUBSETP-MEMBER . 4))
(20 20 (:TYPE-PRESCRIPTION NATP))
(18 18 (:REWRITE SUBSETP-TRANS2))
(18 18 (:REWRITE SUBSETP-TRANS))
(8 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
)
(FIND-N-FREE-BLOCKS-HELPER-CORRECTNESS-6
(35 5 (:DEFINITION MEMBER-EQUAL))
(23 21 (:REWRITE DEFAULT-CDR))
(18 17 (:REWRITE DEFAULT-CAR))
(16 4 (:REWRITE COMMUTATIVITY-OF-+))
(14 10 (:REWRITE DEFAULT-+-2))
(14 10 (:REWRITE DEFAULT-+-1))
(10 10 (:REWRITE SUBSETP-MEMBER . 4))
(10 10 (:REWRITE SUBSETP-MEMBER . 3))
(10 10 (:REWRITE SUBSETP-MEMBER . 2))
(10 10 (:REWRITE SUBSETP-MEMBER . 1))
(8 8 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
(5 5 (:REWRITE ZP-OPEN))
(5 1 (:REWRITE FIND-N-FREE-BLOCKS-HELPER-CORRECTNESS-5))
(3 1 (:DEFINITION NATP))
(1 1 (:TYPE-PRESCRIPTION NATP))
(1 1 (:REWRITE DEFAULT-<-2))
(1 1 (:REWRITE DEFAULT-<-1))
)
(FIND-N-FREE-BLOCKS-HELPER-CORRECTNESS-7
(58 35 (:REWRITE DEFAULT-+-2))
(35 35 (:REWRITE DEFAULT-+-1))
(25 18 (:REWRITE DEFAULT-<-2))
(20 18 (:REWRITE DEFAULT-CAR))
(18 18 (:REWRITE DEFAULT-<-1))
(13 12 (:REWRITE DEFAULT-CDR))
(8 8 (:REWRITE FOLD-CONSTS-IN-+))
(5 5 (:REWRITE ZP-OPEN))
)
(FIND-N-FREE-BLOCKS)
(FIND-N-FREE-BLOCKS-CORRECTNESS-1)
(FIND-N-FREE-BLOCKS-CORRECTNESS-2)
(FIND-N-FREE-BLOCKS-CORRECTNESS-3)
(FIND-N-FREE-BLOCKS-CORRECTNESS-5
(97 4 (:REWRITE NTH-WHEN->=-N-LEN-L))
(38 6 (:REWRITE SUBSETP-MEMBER . 1))
(26 2 (:DEFINITION SUBSETP-EQUAL))
(20 4 (:DEFINITION LEN))
(17 13 (:REWRITE DEFAULT-<-2))
(17 3 (:REWRITE NFIX-WHEN-ZP))
(16 3 (:REWRITE ZP-OPEN))
(15 13 (:REWRITE DEFAULT-<-1))
(14 1 (:LINEAR NATP-OF-NTH-WHEN-NAT-LISTP))
(12 7 (:REWRITE DEFAULT-+-2))
(10 10 (:TYPE-PRESCRIPTION SUBSETP-EQUAL))
(10 10 (:REWRITE DEFAULT-CDR))
(10 1 (:DEFINITION NAT-LISTP))
(9 9 (:REWRITE DEFAULT-CAR))
(8 7 (:REWRITE DEFAULT-+-1))
(8 2 (:REWRITE NFIX-WHEN-NATP))
(7 2 (:DEFINITION NATP))
(6 6 (:REWRITE SUBSETP-MEMBER . 2))
(6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
(5 2 (:REWRITE FIND-N-FREE-BLOCKS-HELPER-CORRECTNESS-4))
(4 4 (:REWRITE SUBSETP-TRANS2))
(4 4 (:REWRITE SUBSETP-TRANS))
(4 4 (:REWRITE SUBSETP-MEMBER . 4))
(4 4 (:REWRITE SUBSETP-MEMBER . 3))
(4 4 (:LINEAR POSITION-WHEN-MEMBER))
(4 4 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
(3 3 (:TYPE-PRESCRIPTION NATP))
(3 1 (:DEFINITION NFIX))
(2 2 (:TYPE-PRESCRIPTION ZP))
(2 2 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
(2 1 (:REWRITE FIX-WHEN-ACL2-NUMBERP))
(1 1 (:LINEAR POSITION-WHEN-MEMBER-OF-TAKE))
)
(FIND-N-FREE-BLOCKS-CORRECTNESS-6)
(FIND-N-FREE-BLOCKS-CORRECTNESS-7
(5 1 (:DEFINITION LEN))
(3 2 (:REWRITE DEFAULT-<-2))
(2 2 (:REWRITE DEFAULT-CDR))
(2 2 (:REWRITE DEFAULT-CAR))
(2 2 (:REWRITE DEFAULT-<-1))
(2 1 (:REWRITE DEFAULT-+-2))
(1 1 (:REWRITE DEFAULT-+-1))
)
(COUNT-FREE-BLOCKS-ALT)
(COUNT-FREE-BLOCKS-ALT-CORRECTNESS-1
(1436 47 (:REWRITE NTH-WHEN->=-N-LEN-L))
(1059 47 (:REWRITE NTH-UNDER-IFF-1))
(746 449 (:REWRITE DEFAULT-+-2))
(740 53 (:DEFINITION MEMBER-EQUAL))
(505 449 (:REWRITE DEFAULT-+-1))
(436 57 (:REWRITE NFIX-WHEN-ZP))
(392 44 (:REWRITE ZP-OPEN))
(391 14 (:REWRITE LEN-OF-REVAPPEND))
(313 287 (:REWRITE DEFAULT-CDR))
(232 164 (:REWRITE DEFAULT-<-2))
(231 231 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
(205 179 (:REWRITE DEFAULT-CAR))
(190 164 (:REWRITE DEFAULT-<-1))
(117 89 (:TYPE-PRESCRIPTION TRUE-LISTP-REVAPPEND-TYPE-PRESCRIPTION))
(111 5 (:REWRITE BY-SLICE-YOU-MEAN-THE-WHOLE-CAKE-1))
(102 102 (:REWRITE SUBSETP-MEMBER . 4))
(102 102 (:REWRITE SUBSETP-MEMBER . 3))
(102 102 (:REWRITE SUBSETP-MEMBER . 2))
(102 102 (:REWRITE SUBSETP-MEMBER . 1))
(89 89 (:TYPE-PRESCRIPTION REVAPPEND))
(75 75 (:LINEAR POSITION-WHEN-MEMBER))
(75 75 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
(47 47 (:TYPE-PRESCRIPTION NFIX))
(47 40 (:REWRITE DEFAULT-UNARY-MINUS))
(28 28 (:TYPE-PRESCRIPTION TRUE-LISTP))
(15 5 (:DEFINITION NFIX))
(5 5 (:TYPE-PRESCRIPTION NATP))
)
(COUNT-FREE-BLOCKS-ALT-CORRECTNESS-LEMMA-1
(210 7 (:REWRITE TRUE-LIST-FIX-WHEN-TRUE-LISTP))
(149 17 (:REWRITE TRUE-LISTP-WHEN-STRING-LIST))
(133 9 (:DEFINITION TRUE-LISTP))
(101 18 (:DEFINITION STRING-LISTP))
(79 79 (:TYPE-PRESCRIPTION STRING-LISTP))
(45 43 (:REWRITE DEFAULT-CDR))
(36 34 (:REWRITE DEFAULT-CAR))
(35 35 (:TYPE-PRESCRIPTION TRUE-LISTP))
(24 16 (:REWRITE DEFAULT-+-2))
(24 16 (:REWRITE DEFAULT-+-1))
)
(COUNT-FREE-BLOCKS-ALT-CORRECTNESS-2
(257 2 (:DEFINITION COUNT-FREE-BLOCKS-ALT))
(134 2 (:DEFINITION NTH))
(122 4 (:REWRITE NTH-WHEN->=-N-LEN-L))
(68 4 (:REWRITE NTH-UNDER-IFF-1))
(52 7 (:REWRITE ZP-OPEN))
(50 10 (:DEFINITION LEN))
(47 30 (:REWRITE DEFAULT-+-2))
(44 4 (:REWRITE NFIX-WHEN-ZP))
(40 4 (:DEFINITION MEMBER-EQUAL))
(33 30 (:REWRITE DEFAULT-+-1))
(24 24 (:REWRITE DEFAULT-CDR))
(24 20 (:REWRITE DEFAULT-<-2))
(22 2 (:DEFINITION COUNT-FREE-BLOCKS))
(21 20 (:REWRITE DEFAULT-<-1))
(20 20 (:TYPE-PRESCRIPTION MEMBER-EQUAL))
(18 4 (:REWRITE NFIX-WHEN-NATP))
(12 12 (:REWRITE DEFAULT-CAR))
(12 2 (:DEFINITION NATP))
(8 8 (:REWRITE SUBSETP-MEMBER . 4))
(8 8 (:REWRITE SUBSETP-MEMBER . 3))
(8 8 (:REWRITE SUBSETP-MEMBER . 2))
(8 8 (:REWRITE SUBSETP-MEMBER . 1))
(8 8 (:LINEAR POSITION-WHEN-MEMBER))
(8 8 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
(6 2 (:REWRITE FOLD-CONSTS-IN-+))
(6 2 (:DEFINITION NFIX))
(4 4 (:TYPE-PRESCRIPTION ZP))
(4 4 (:TYPE-PRESCRIPTION NFIX))
(2 2 (:TYPE-PRESCRIPTION NATP))
)
(COUNT-BEFORE-N
(3 3 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
(2 2 (:REWRITE DEFAULT-CAR))
(1 1 (:REWRITE DEFAULT-CDR))
(1 1 (:REWRITE DEFAULT-<-2))
(1 1 (:REWRITE DEFAULT-<-1))
)
(COUNT-BEFORE-N-CORRECTNESS-1
(18 9 (:REWRITE DEFAULT-+-2))
(15 7 (:REWRITE DEFAULT-<-2))
(14 7 (:REWRITE DEFAULT-<-1))
(9 9 (:REWRITE DEFAULT-+-1))
(6 6 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
(6 6 (:REWRITE DEFAULT-CDR))
(3 3 (:REWRITE DEFAULT-CAR))
(1 1 (:LINEAR POSITION-WHEN-MEMBER))
(1 1 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
)
(COUNT-BEFORE-N-CORRECTNESS-2
(108 54 (:REWRITE DEFAULT-+-2))
(76 46 (:REWRITE DEFAULT-<-2))
(62 46 (:REWRITE DEFAULT-<-1))
(59 59 (:REWRITE DEFAULT-CDR))
(54 54 (:REWRITE DEFAULT-+-1))
(48 48 (:REWRITE DEFAULT-CAR))
(46 46 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
(7 7 (:LINEAR POSITION-WHEN-MEMBER))
(7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
)
(COUNT-BEFORE-N-CORRECTNESS-3
(54 27 (:REWRITE DEFAULT-+-2))
(27 27 (:REWRITE DEFAULT-+-1))
(24 24 (:REWRITE DEFAULT-CDR))
(22 15 (:REWRITE DEFAULT-<-1))
(21 21 (:REWRITE DEFAULT-CAR))
(15 15 (:REWRITE DEFAULT-<-2))
(9 9 (:REWRITE BOUNDED-NAT-LISTP-CORRECTNESS-1))
(7 7 (:REWRITE RATIONALP-IMPLIES-ACL2-NUMBERP))
(7 7 (:LINEAR POSITION-WHEN-MEMBER))
(7 7 (:LINEAR POSITION-EQUAL-AC-WHEN-MEMBER))
)
|
