TSTP Solution File: NUM516+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM516+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:44:50 EDT 2023
% Result : Theorem 43.18s 42.72s
% Output : Proof 43.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM516+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 18 17:02:07 EDT 2023
% 0.12/0.33 % CPUTime :
% 43.18/42.72
% 43.18/42.72 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.18/42.72 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.18/42.72 %-----------------------------------------------------
% 43.18/42.72 ncf(matrix, plain, [(1064 ^ _204621) ^ [] : [1065 ^ _204621 : [(1070 ^ _204621) ^ [] : [-(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp))], (1068 ^ _204621) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1066 ^ _204621) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))]], 1071 ^ _204621 : [(1074 ^ _204621) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (1082 ^ _204621) ^ [] : [sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))], (1076 ^ _204621) ^ [_204981] : [aNaturalNumber0(_204981), sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), _204981) = sdtpldt0(sdtpldt0(xn, xm), xp)], (1072 ^ _204621) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))]]], !, (122 ^ _171998) ^ [_176078] : [aNaturalNumber0(_176078), true___, -(true___)], (1036 ^ _171998) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (551 ^ _171998) ^ [_188998, _189000] : [aNaturalNumber0(_189000), aNaturalNumber0(_188998), -(iLess0(_189000, _188998)), -(_189000 = _188998), sdtlseqdt0(_189000, _188998)], (1004 ^ _171998) ^ [] : [xk = xp], (953 ^ _171998) ^ [] : [xk = sz00], (907 ^ _171998) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (995 ^ _171998) ^ [] : [-(sdtpldt0(xr, 991 ^ []) = xk)], (182 ^ _171998) ^ [_177832] : [aNaturalNumber0(_177832), 185 ^ _171998 : [(188 ^ _171998) ^ [] : [-(_177832 = sdtpldt0(sz00, _177832))], (186 ^ _171998) ^ [] : [-(sdtpldt0(_177832, sz00) = _177832)]]], (947 ^ _171998) ^ [] : [-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))], (900 ^ _171998) ^ [] : [-(isPrime0(xp))], (925 ^ _171998) ^ [] : [xn = xp], (132 ^ _171998) ^ [] : [-(aNaturalNumber0(sz00))], (630 ^ _171998) ^ [_191369, _191371, _191373] : [aNaturalNumber0(_191373), aNaturalNumber0(_191371), aNaturalNumber0(_191369), -(doDivides0(_191373, _191369)), doDivides0(_191373, _191371), doDivides0(_191371, _191369)], (945 ^ _171998) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, xk))], (964 ^ _171998) ^ [] : [-(doDivides0(xr, xk))], (1062 ^ _171998) ^ [] : [-(doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm)))], (1049 ^ _171998) ^ [] : [-(sdtpldt0(sdtsldt0(xn, xr), 1045 ^ []) = xn)], (290 ^ _171998) ^ [_181317, _181319] : [aNaturalNumber0(_181319), aNaturalNumber0(_181317), sdtpldt0(_181319, _181317) = sz00, 301 ^ _171998 : [(304 ^ _171998) ^ [] : [-(_181317 = sz00)], (302 ^ _171998) ^ [] : [-(_181319 = sz00)]]], (471 ^ _171998) ^ [_186745, _186747, _186749] : [aNaturalNumber0(_186749), aNaturalNumber0(_186747), aNaturalNumber0(_186745), 494 ^ _171998 : [(497 ^ _171998) ^ [] : [-(sdtlseqdt0(sdtasdt0(_186749, _186747), sdtasdt0(_186749, _186745)))], (499 ^ _171998) ^ [] : [sdtasdt0(_186747, _186749) = sdtasdt0(_186745, _186749)], (501 ^ _171998) ^ [] : [-(sdtlseqdt0(sdtasdt0(_186747, _186749), sdtasdt0(_186745, _186749)))], (495 ^ _171998) ^ [] : [sdtasdt0(_186749, _186747) = sdtasdt0(_186749, _186745)]], -(_186749 = sz00), -(_186747 = _186745), sdtlseqdt0(_186747, _186745)], (427 ^ _171998) ^ [_185314, _185316] : [aNaturalNumber0(_185316), aNaturalNumber0(_185314), -(sdtlseqdt0(_185316, _185314)), 438 ^ _171998 : [(441 ^ _171998) ^ [] : [-(sdtlseqdt0(_185314, _185316))], (439 ^ _171998) ^ [] : [_185314 = _185316]]], (993 ^ _171998) ^ [] : [-(aNaturalNumber0(991 ^ []))], (387 ^ _171998) ^ [_184239, _184241] : [aNaturalNumber0(_184241), aNaturalNumber0(_184239), -(_184241 = _184239), sdtlseqdt0(_184241, _184239), sdtlseqdt0(_184239, _184241)], (44 ^ _171998) ^ [_173513, _173515, _173517, _173519] : [-(doDivides0(_173517, _173513)), doDivides0(_173519, _173515), _173519 = _173517, _173515 = _173513], (168 ^ _171998) ^ [_177426, _177428, _177430] : [-(sdtpldt0(sdtpldt0(_177430, _177428), _177426) = sdtpldt0(_177430, sdtpldt0(_177428, _177426))), aNaturalNumber0(_177430), aNaturalNumber0(_177428), aNaturalNumber0(_177426)], (10 ^ _171998) ^ [_172433, _172435, _172437] : [-(_172437 = _172433), _172437 = _172435, _172435 = _172433], (596 ^ _171998) ^ [_190319, _190321] : [aNaturalNumber0(_190321), aNaturalNumber0(_190319), -(_190321 = sz00), doDivides0(_190321, _190319), 611 ^ _171998 : [(620 ^ _171998) ^ [_191017] : [-(_191017 = sdtsldt0(_190319, _190321)), aNaturalNumber0(_191017), _190319 = sdtasdt0(_190321, _191017)], (612 ^ _171998) ^ [_190758] : [_190758 = sdtsldt0(_190319, _190321), 615 ^ _171998 : [(618 ^ _171998) ^ [] : [-(_190319 = sdtasdt0(_190321, _190758))], (616 ^ _171998) ^ [] : [-(aNaturalNumber0(_190758))]]]]], (68 ^ _171998) ^ [_174232, _174234, _174236, _174238] : [-(sdtlseqdt0(_174236, _174232)), sdtlseqdt0(_174238, _174234), _174238 = _174236, _174234 = _174232], (1009 ^ _171998) ^ [] : [-(sdtpldt0(xk, 1005 ^ []) = xp)], (324 ^ _171998) ^ [_182266, _182268] : [aNaturalNumber0(_182268), aNaturalNumber0(_182266), 331 ^ _171998 : [(341 ^ _171998) ^ [] : [-(sdtlseqdt0(_182268, _182266)), 342 ^ _171998 : [(343 ^ _171998) ^ [_182826] : [aNaturalNumber0(_182826), sdtpldt0(_182268, _182826) = _182266]]], (332 ^ _171998) ^ [] : [sdtlseqdt0(_182268, _182266), 336 ^ _171998 : [(339 ^ _171998) ^ [] : [-(sdtpldt0(_182268, 335 ^ [_182266, _182268]) = _182266)], (337 ^ _171998) ^ [] : [-(aNaturalNumber0(335 ^ [_182266, _182268]))]]]]], (966 ^ _171998) ^ [] : [xr = sz00], (1011 ^ _171998) ^ [] : [-(sdtlseqdt0(xk, xp))], (962 ^ _171998) ^ [] : [-(xk = sdtasdt0(xr, 958 ^ []))], (351 ^ _171998) ^ [_183109, _183111] : [aNaturalNumber0(_183111), aNaturalNumber0(_183109), sdtlseqdt0(_183111, _183109), 362 ^ _171998 : [(371 ^ _171998) ^ [_183715] : [-(_183715 = sdtmndt0(_183109, _183111)), aNaturalNumber0(_183715), sdtpldt0(_183111, _183715) = _183109], (363 ^ _171998) ^ [_183456] : [_183456 = sdtmndt0(_183109, _183111), 366 ^ _171998 : [(369 ^ _171998) ^ [] : [-(sdtpldt0(_183111, _183456) = _183109)], (367 ^ _171998) ^ [] : [-(aNaturalNumber0(_183456))]]]]], (783 ^ _171998) ^ [_195640] : [795 ^ _171998 : [(800 ^ _171998) ^ [] : [-(isPrime0(794 ^ [_195640]))], (798 ^ _171998) ^ [] : [-(doDivides0(794 ^ [_195640], _195640))], (796 ^ _171998) ^ [] : [-(aNaturalNumber0(794 ^ [_195640]))]], aNaturalNumber0(_195640), -(_195640 = sz00), -(_195640 = sz10)], (1038 ^ _171998) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (878 ^ _171998) ^ [] : [xp = sz10], (1002 ^ _171998) ^ [] : [-(doDivides0(xr, sdtasdt0(xn, xm)))], (405 ^ _171998) ^ [_184728, _184730, _184732] : [aNaturalNumber0(_184732), aNaturalNumber0(_184730), aNaturalNumber0(_184728), -(sdtlseqdt0(_184732, _184728)), sdtlseqdt0(_184732, _184730), sdtlseqdt0(_184730, _184728)], (696 ^ _171998) ^ [_193167, _193169] : [aNaturalNumber0(_193169), aNaturalNumber0(_193167), -(sdtlseqdt0(_193169, _193167)), doDivides0(_193169, _193167), -(_193167 = sz00)], (880 ^ _171998) ^ [_198918] : [-(_198918 = sz10), -(_198918 = xp), aNaturalNumber0(_198918), 885 ^ _171998 : [(886 ^ _171998) ^ [_199121] : [aNaturalNumber0(_199121), xp = sdtasdt0(_198918, _199121)], (892 ^ _171998) ^ [] : [doDivides0(_198918, xp)]]], (955 ^ _171998) ^ [] : [xk = sz10], (1040 ^ _171998) ^ [] : [sdtsldt0(xn, xr) = xn], (1055 ^ _171998) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (20 ^ _171998) ^ [_172774, _172776, _172778, _172780] : [-(iLess0(_172778, _172774)), iLess0(_172780, _172776), _172780 = _172778, _172776 = _172774], (230 ^ _171998) ^ [_179420, _179422, _179424] : [241 ^ _171998 : [(244 ^ _171998) ^ [] : [-(sdtasdt0(sdtpldt0(_179422, _179420), _179424) = sdtpldt0(sdtasdt0(_179422, _179424), sdtasdt0(_179420, _179424)))], (242 ^ _171998) ^ [] : [-(sdtasdt0(_179424, sdtpldt0(_179422, _179420)) = sdtpldt0(sdtasdt0(_179424, _179422), sdtasdt0(_179424, _179420)))]], aNaturalNumber0(_179424), aNaturalNumber0(_179422), aNaturalNumber0(_179420)], (917 ^ _171998) ^ [_200026] : [aNaturalNumber0(_200026), sdtpldt0(xp, _200026) = xm], (934 ^ _171998) ^ [] : [xm = xp], (960 ^ _171998) ^ [] : [-(aNaturalNumber0(958 ^ []))], (905 ^ _171998) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (876 ^ _171998) ^ [] : [xp = sz00], (200 ^ _171998) ^ [_178440, _178442, _178444] : [-(sdtasdt0(sdtasdt0(_178444, _178442), _178440) = sdtasdt0(_178444, sdtasdt0(_178442, _178440))), aNaturalNumber0(_178444), aNaturalNumber0(_178442), aNaturalNumber0(_178440)], (2 ^ _171998) ^ [_172122] : [-(_172122 = _172122)], (652 ^ _171998) ^ [_191969, _191971, _191973] : [aNaturalNumber0(_191973), aNaturalNumber0(_191971), aNaturalNumber0(_191969), -(doDivides0(_191973, sdtpldt0(_191971, _191969))), doDivides0(_191973, _191971), doDivides0(_191973, _191969)], (941 ^ _171998) ^ [] : [-(sdtlseqdt0(xm, xp))], (923 ^ _171998) ^ [] : [sdtlseqdt0(xp, xm)], (951 ^ _171998) ^ [] : [xk = sz10], (970 ^ _171998) ^ [_201541] : [-(_201541 = sz10), -(_201541 = xr), aNaturalNumber0(_201541), 975 ^ _171998 : [(976 ^ _171998) ^ [_201744] : [aNaturalNumber0(_201744), xr = sdtasdt0(_201541, _201744)], (982 ^ _171998) ^ [] : [doDivides0(_201541, xr)]]], (569 ^ _171998) ^ [_189476, _189478] : [aNaturalNumber0(_189478), aNaturalNumber0(_189476), 576 ^ _171998 : [(586 ^ _171998) ^ [] : [-(doDivides0(_189478, _189476)), 587 ^ _171998 : [(588 ^ _171998) ^ [_190036] : [aNaturalNumber0(_190036), _189476 = sdtasdt0(_189478, _190036)]]], (577 ^ _171998) ^ [] : [doDivides0(_189478, _189476), 581 ^ _171998 : [(584 ^ _171998) ^ [] : [-(_189476 = sdtasdt0(_189478, 580 ^ [_189476, _189478]))], (582 ^ _171998) ^ [] : [-(aNaturalNumber0(580 ^ [_189476, _189478]))]]]]], (443 ^ _171998) ^ [_185777, _185779] : [aNaturalNumber0(_185779), aNaturalNumber0(_185777), -(_185779 = _185777), sdtlseqdt0(_185779, _185777), 458 ^ _171998 : [(459 ^ _171998) ^ [_186221] : [aNaturalNumber0(_186221), 462 ^ _171998 : [(465 ^ _171998) ^ [] : [-(sdtlseqdt0(sdtpldt0(_186221, _185779), sdtpldt0(_186221, _185777)))], (467 ^ _171998) ^ [] : [sdtpldt0(_185779, _186221) = sdtpldt0(_185777, _186221)], (469 ^ _171998) ^ [] : [-(sdtlseqdt0(sdtpldt0(_185779, _186221), sdtpldt0(_185777, _186221)))], (463 ^ _171998) ^ [] : [sdtpldt0(_186221, _185779) = sdtpldt0(_186221, _185777)]]]]], (949 ^ _171998) ^ [] : [xk = sz00], (804 ^ _171998) ^ [] : [-(aNaturalNumber0(xm))], (802 ^ _171998) ^ [] : [-(aNaturalNumber0(xn))], (998 ^ _171998) ^ [] : [-(aNaturalNumber0(996 ^ []))], (808 ^ _171998) ^ [_196407, _196409, _196411] : [aNaturalNumber0(_196411), aNaturalNumber0(_196409), aNaturalNumber0(_196407), iLess0(sdtpldt0(sdtpldt0(_196411, _196409), _196407), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _171998 : [(867 ^ _171998) ^ [] : [-(doDivides0(_196407, _196411))], (865 ^ _171998) ^ [] : [-(_196411 = sdtasdt0(_196407, 861 ^ [_196407, _196409, _196411]))], (863 ^ _171998) ^ [] : [-(aNaturalNumber0(861 ^ [_196407, _196409, _196411]))]], 869 ^ _171998 : [(874 ^ _171998) ^ [] : [-(doDivides0(_196407, _196409))], (872 ^ _171998) ^ [] : [-(_196409 = sdtasdt0(_196407, 868 ^ [_196407, _196409, _196411]))], (870 ^ _171998) ^ [] : [-(aNaturalNumber0(868 ^ [_196407, _196409, _196411]))]], 847 ^ _171998 : [(848 ^ _171998) ^ [_197828] : [aNaturalNumber0(_197828), sdtasdt0(_196411, _196409) = sdtasdt0(_196407, _197828)], (854 ^ _171998) ^ [] : [doDivides0(_196407, sdtasdt0(_196411, _196409))]], 823 ^ _171998 : [(824 ^ _171998) ^ [] : [-(_196407 = sz00), -(_196407 = sz10), 832 ^ _171998 : [(836 ^ _171998) ^ [] : [-(aNaturalNumber0(834 ^ [_196407, _196409, _196411]))], (833 ^ _171998) ^ [] : [-(aNaturalNumber0(831 ^ [_196407, _196409, _196411]))], (844 ^ _171998) ^ [] : [831 ^ [_196407, _196409, _196411] = _196407], (840 ^ _171998) ^ [] : [-(doDivides0(831 ^ [_196407, _196409, _196411], _196407))], (842 ^ _171998) ^ [] : [831 ^ [_196407, _196409, _196411] = sz10], (838 ^ _171998) ^ [] : [-(_196407 = sdtasdt0(831 ^ [_196407, _196409, _196411], 834 ^ [_196407, _196409, _196411]))]]], (846 ^ _171998) ^ [] : [isPrime0(_196407)]]], (190 ^ _171998) ^ [_178119, _178121] : [-(sdtasdt0(_178121, _178119) = sdtasdt0(_178119, _178121)), aNaturalNumber0(_178121), aNaturalNumber0(_178119)], (1051 ^ _171998) ^ [] : [-(sdtlseqdt0(sdtsldt0(xn, xr), xn))], (1053 ^ _171998) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (306 ^ _171998) ^ [_181784, _181786] : [aNaturalNumber0(_181786), aNaturalNumber0(_181784), sdtasdt0(_181786, _181784) = sz00, -(_181786 = sz00), -(_181784 = sz00)], (1032 ^ _171998) ^ [] : [-(xn = sdtasdt0(xr, 1028 ^ []))], (968 ^ _171998) ^ [] : [xr = sz10], (928 ^ _171998) ^ [] : [-(aNaturalNumber0(926 ^ []))], (1047 ^ _171998) ^ [] : [-(aNaturalNumber0(1045 ^ []))], (92 ^ _171998) ^ [_175049, _175051, _175053, _175055] : [-(sdtasdt0(_175055, _175051) = sdtasdt0(_175053, _175049)), _175055 = _175053, _175051 = _175049], (990 ^ _171998) ^ [] : [-(isPrime0(xr))], (102 ^ _171998) ^ [_175408, _175410, _175412, _175414] : [-(sdtsldt0(_175414, _175410) = sdtsldt0(_175412, _175408)), _175414 = _175412, _175410 = _175408], (246 ^ _171998) ^ [_179967, _179969, _179971] : [259 ^ _171998 : [(262 ^ _171998) ^ [] : [sdtpldt0(_179969, _179971) = sdtpldt0(_179967, _179971)], (260 ^ _171998) ^ [] : [sdtpldt0(_179971, _179969) = sdtpldt0(_179971, _179967)]], -(_179969 = _179967), aNaturalNumber0(_179971), aNaturalNumber0(_179969), aNaturalNumber0(_179967)], (1000 ^ _171998) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xr, 996 ^ []))], (1013 ^ _171998) ^ [] : [1015 ^ _171998 : [(1020 ^ _171998) ^ [] : [-(doDivides0(xr, xn))], (1018 ^ _171998) ^ [] : [-(xn = sdtasdt0(xr, 1014 ^ []))], (1016 ^ _171998) ^ [] : [-(aNaturalNumber0(1014 ^ []))]], 1022 ^ _171998 : [(1027 ^ _171998) ^ [] : [-(doDivides0(xr, xm))], (1025 ^ _171998) ^ [] : [-(xm = sdtasdt0(xr, 1021 ^ []))], (1023 ^ _171998) ^ [] : [-(aNaturalNumber0(1021 ^ []))]]], (674 ^ _171998) ^ [_192575, _192577, _192579] : [aNaturalNumber0(_192579), aNaturalNumber0(_192577), aNaturalNumber0(_192575), -(doDivides0(_192579, _192575)), doDivides0(_192579, _192577), doDivides0(_192579, sdtpldt0(_192577, _192575))], (34 ^ _171998) ^ [_173190, _173192] : [-(isPrime0(_173190)), _173192 = _173190, isPrime0(_173192)], (82 ^ _171998) ^ [_174690, _174692, _174694, _174696] : [-(sdtmndt0(_174696, _174692) = sdtmndt0(_174694, _174690)), _174696 = _174694, _174692 = _174690], (1058 ^ _171998) ^ [] : [-(aNaturalNumber0(1056 ^ []))], (915 ^ _171998) ^ [] : [sdtlseqdt0(xp, xn)], (1030 ^ _171998) ^ [] : [-(aNaturalNumber0(1028 ^ []))], (138 ^ _171998) ^ [_176507, _176509] : [-(aNaturalNumber0(sdtpldt0(_176509, _176507))), aNaturalNumber0(_176509), aNaturalNumber0(_176507)], (4 ^ _171998) ^ [_172229, _172231] : [_172231 = _172229, -(_172229 = _172231)], (939 ^ _171998) ^ [] : [-(sdtpldt0(xm, 935 ^ []) = xp)], (148 ^ _171998) ^ [_176806, _176808] : [-(aNaturalNumber0(sdtasdt0(_176808, _176806))), aNaturalNumber0(_176808), aNaturalNumber0(_176806)], (266 ^ _171998) ^ [_180544] : [aNaturalNumber0(_180544), -(_180544 = sz00), 273 ^ _171998 : [(274 ^ _171998) ^ [_180806, _180808] : [aNaturalNumber0(_180808), aNaturalNumber0(_180806), 283 ^ _171998 : [(286 ^ _171998) ^ [] : [sdtasdt0(_180808, _180544) = sdtasdt0(_180806, _180544)], (284 ^ _171998) ^ [] : [sdtasdt0(_180544, _180808) = sdtasdt0(_180544, _180806)]], -(_180808 = _180806)]]], (134 ^ _171998) ^ [] : [-(aNaturalNumber0(sz10))], (903 ^ _171998) ^ [] : [-(aNaturalNumber0(901 ^ []))], (909 ^ _171998) ^ [_199779] : [aNaturalNumber0(_199779), sdtpldt0(xp, _199779) = xn], (533 ^ _171998) ^ [_188538, _188540] : [aNaturalNumber0(_188540), aNaturalNumber0(_188538), iLess0(_188540, _188538), true___, -(true___)], (943 ^ _171998) ^ [] : [-(aNaturalNumber0(xk))], (214 ^ _171998) ^ [_178846] : [aNaturalNumber0(_178846), 217 ^ _171998 : [(220 ^ _171998) ^ [] : [-(_178846 = sdtasdt0(sz10, _178846))], (218 ^ _171998) ^ [] : [-(sdtasdt0(_178846, sz10) = _178846)]]], (222 ^ _171998) ^ [_179119] : [aNaturalNumber0(_179119), 225 ^ _171998 : [(228 ^ _171998) ^ [] : [-(sz00 = sdtasdt0(sz00, _179119))], (226 ^ _171998) ^ [] : [-(sdtasdt0(_179119, sz00) = sz00)]]], (1034 ^ _171998) ^ [] : [-(doDivides0(xr, xn))], (112 ^ _171998) ^ [_175747, _175749, _175751, _175753] : [-(sdtpldt0(_175753, _175749) = sdtpldt0(_175751, _175747)), _175753 = _175751, _175749 = _175747], (503 ^ _171998) ^ [_187695] : [aNaturalNumber0(_187695), -(_187695 = sz00), -(_187695 = sz10), 514 ^ _171998 : [(517 ^ _171998) ^ [] : [-(sdtlseqdt0(sz10, _187695))], (515 ^ _171998) ^ [] : [sz10 = _187695]]], (957 ^ _171998) ^ [] : [-(aNaturalNumber0(xr))], (158 ^ _171998) ^ [_177105, _177107] : [-(sdtpldt0(_177107, _177105) = sdtpldt0(_177105, _177107)), aNaturalNumber0(_177107), aNaturalNumber0(_177105)], (58 ^ _171998) ^ [_173929, _173931] : [-(aNaturalNumber0(_173929)), _173931 = _173929, aNaturalNumber0(_173931)], (1044 ^ _171998) ^ [] : [-(xn = sdtasdt0(xr, sdtsldt0(xn, xr)))], (519 ^ _171998) ^ [_188143, _188145] : [aNaturalNumber0(_188145), aNaturalNumber0(_188143), -(_188145 = sz00), -(sdtlseqdt0(_188143, sdtasdt0(_188143, _188145)))], (381 ^ _171998) ^ [_184037] : [aNaturalNumber0(_184037), -(sdtlseqdt0(_184037, _184037))], (930 ^ _171998) ^ [] : [-(sdtpldt0(xn, 926 ^ []) = xp)], (1060 ^ _171998) ^ [] : [-(sdtasdt0(sdtsldt0(xn, xr), xm) = sdtasdt0(xp, 1056 ^ []))], (932 ^ _171998) ^ [] : [-(sdtlseqdt0(xn, xp))], (136 ^ _171998) ^ [] : [sz10 = sz00], (714 ^ _171998) ^ [_193645, _193647] : [aNaturalNumber0(_193647), aNaturalNumber0(_193645), -(_193647 = sz00), doDivides0(_193647, _193645), 729 ^ _171998 : [(730 ^ _171998) ^ [_194055] : [aNaturalNumber0(_194055), -(sdtasdt0(_194055, sdtsldt0(_193645, _193647)) = sdtsldt0(sdtasdt0(_194055, _193645), _193647))]]], (1042 ^ _171998) ^ [] : [-(aNaturalNumber0(sdtsldt0(xn, xr)))], (736 ^ _171998) ^ [_194296] : [aNaturalNumber0(_194296), 739 ^ _171998 : [(740 ^ _171998) ^ [] : [isPrime0(_194296), 743 ^ _171998 : [(748 ^ _171998) ^ [_194688] : [aNaturalNumber0(_194688), doDivides0(_194688, _194296), -(_194688 = sz10), -(_194688 = _194296)], (746 ^ _171998) ^ [] : [_194296 = sz10], (744 ^ _171998) ^ [] : [_194296 = sz00]]], (762 ^ _171998) ^ [] : [-(isPrime0(_194296)), -(_194296 = sz00), -(_194296 = sz10), 772 ^ _171998 : [(775 ^ _171998) ^ [] : [-(doDivides0(771 ^ [_194296], _194296))], (777 ^ _171998) ^ [] : [771 ^ [_194296] = sz10], (779 ^ _171998) ^ [] : [771 ^ [_194296] = _194296], (773 ^ _171998) ^ [] : [-(aNaturalNumber0(771 ^ [_194296]))]]]]], (937 ^ _171998) ^ [] : [-(aNaturalNumber0(935 ^ []))], (806 ^ _171998) ^ [] : [-(aNaturalNumber0(xp))], (1007 ^ _171998) ^ [] : [-(aNaturalNumber0(1005 ^ []))]], input).
% 43.18/42.72 ncf('1',plain,[1070 : -(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), 1082 : sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))],start(1064 ^ 0)).
% 43.18/42.72 ncf('1.1',plain,[sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp), 459 : aNaturalNumber0(xp), 459 : aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm)), 459 : aNaturalNumber0(sdtpldt0(xn, xm)), 459 : -(sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm)), 459 : sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm))],extension(443 ^ 3,bind([[_185777, _185779, _186221], [sdtpldt0(xn, xm), sdtpldt0(sdtsldt0(xn, xr), xm), xp]]))).
% 43.18/42.72 ncf('1.1.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 6)).
% 43.18/42.72 ncf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm))), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm)],extension(138 ^ 4,bind([[_176507, _176509], [xm, sdtsldt0(xn, xr)]]))).
% 43.18/42.72 ncf('1.1.2.1',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(1066 ^ 5)).
% 43.18/42.72 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 43.18/42.72 ncf('1.1.3',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 4,bind([[_176507, _176509], [xm, xn]]))).
% 43.18/42.72 ncf('1.1.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 43.18/42.72 ncf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 43.18/42.72 ncf('1.1.4',plain,[sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(sdtsldt0(xn, xr)), 459 : aNaturalNumber0(xn), 459 : -(sdtsldt0(xn, xr) = xn), 459 : sdtlseqdt0(sdtsldt0(xn, xr), xn)],extension(443 ^ 4,bind([[_185777, _185779, _186221], [xn, sdtsldt0(xn, xr), xm]]))).
% 43.18/42.72 ncf('1.1.4.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 7)).
% 43.18/42.72 ncf('1.1.4.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(1066 ^ 5)).
% 43.18/42.72 ncf('1.1.4.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 43.18/42.72 ncf('1.1.4.4',plain,[sdtsldt0(xn, xr) = xn],extension(1040 ^ 5)).
% 43.18/42.72 ncf('1.1.4.5',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(1051 ^ 5)).
% 43.18/42.72 ncf('1.1.5',plain,[-(sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm))), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(sdtsldt0(xn, xr)), 459 : aNaturalNumber0(xn), 459 : -(sdtsldt0(xn, xr) = xn), 459 : sdtlseqdt0(sdtsldt0(xn, xr), xn)],extension(443 ^ 4,bind([[_185777, _185779, _186221], [xn, sdtsldt0(xn, xr), xm]]))).
% 43.18/42.72 ncf('1.1.5.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 7)).
% 43.18/42.72 ncf('1.1.5.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(1066 ^ 5)).
% 43.18/42.72 ncf('1.1.5.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 43.18/42.72 ncf('1.1.5.4',plain,[sdtsldt0(xn, xr) = xn],extension(1040 ^ 5)).
% 43.18/42.72 ncf('1.1.5.5',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(1051 ^ 5)).
% 43.18/42.72 ncf('1.2',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), 459 : aNaturalNumber0(xp), 459 : aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm)), 459 : aNaturalNumber0(sdtpldt0(xn, xm)), 459 : -(sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm)), 459 : sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm))],extension(443 ^ 3,bind([[_185777, _185779, _186221], [sdtpldt0(xn, xm), sdtpldt0(sdtsldt0(xn, xr), xm), xp]]))).
% 43.18/42.72 ncf('1.2.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 6)).
% 43.18/42.72 ncf('1.2.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm))), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm)],extension(138 ^ 4,bind([[_176507, _176509], [xm, sdtsldt0(xn, xr)]]))).
% 43.18/42.72 ncf('1.2.2.1',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(1072 ^ 5)).
% 43.18/42.72 ncf('1.2.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 43.18/42.72 ncf('1.2.3',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(138 ^ 4,bind([[_176507, _176509], [xm, xn]]))).
% 43.18/42.72 ncf('1.2.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 43.18/42.72 ncf('1.2.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 5)).
% 43.18/42.72 ncf('1.2.4',plain,[sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(sdtsldt0(xn, xr)), 459 : aNaturalNumber0(xn), 459 : -(sdtsldt0(xn, xr) = xn), 459 : sdtlseqdt0(sdtsldt0(xn, xr), xn)],extension(443 ^ 4,bind([[_185777, _185779, _186221], [xn, sdtsldt0(xn, xr), xm]]))).
% 43.18/42.72 ncf('1.2.4.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 7)).
% 43.18/42.72 ncf('1.2.4.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(1072 ^ 5)).
% 43.18/42.72 ncf('1.2.4.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 43.18/42.72 ncf('1.2.4.4',plain,[sdtsldt0(xn, xr) = xn],extension(1040 ^ 5)).
% 43.18/42.72 ncf('1.2.4.5',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(1051 ^ 5)).
% 43.18/42.72 ncf('1.2.5',plain,[-(sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm))), 459 : aNaturalNumber0(xm), 459 : aNaturalNumber0(sdtsldt0(xn, xr)), 459 : aNaturalNumber0(xn), 459 : -(sdtsldt0(xn, xr) = xn), 459 : sdtlseqdt0(sdtsldt0(xn, xr), xn)],extension(443 ^ 4,bind([[_185777, _185779, _186221], [xn, sdtsldt0(xn, xr), xm]]))).
% 43.18/42.72 ncf('1.2.5.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 7)).
% 43.18/42.72 ncf('1.2.5.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(1072 ^ 5)).
% 43.18/42.72 ncf('1.2.5.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 5)).
% 43.18/42.72 ncf('1.2.5.4',plain,[sdtsldt0(xn, xr) = xn],extension(1040 ^ 5)).
% 43.18/42.72 ncf('1.2.5.5',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(1051 ^ 5)).
% 43.18/42.72 %-----------------------------------------------------
% 43.18/42.72 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------