TSTP Solution File: NUM500+3 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM500+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n027.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 11:44:48 EDT 2023
% Result : Theorem 3.90s 4.47s
% Output : Proof 3.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM500+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n027.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 17:44:05 EDT 2023
% 0.12/0.33 % CPUTime :
% 3.90/4.47
% 3.90/4.47 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 3.90/4.47 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.90/4.47 %-----------------------------------------------------
% 3.90/4.47 ncf(matrix, plain, [(957 ^ _133879) ^ [_163396] : [aNaturalNumber0(_163396), 962 ^ _133879 : [(969 ^ _133879) ^ [] : [doDivides0(_163396, xk)], (963 ^ _133879) ^ [_163655] : [aNaturalNumber0(_163655), xk = sdtasdt0(_163396, _163655)]], 970 ^ _133879 : [(993 ^ _133879) ^ [] : [isPrime0(_163396)], (971 ^ _133879) ^ [] : [-(_163396 = sz00), -(_163396 = sz10), 979 ^ _133879 : [(980 ^ _133879) ^ [] : [-(aNaturalNumber0(978 ^ [_163396]))], (983 ^ _133879) ^ [] : [-(aNaturalNumber0(981 ^ [_163396]))], (985 ^ _133879) ^ [] : [-(_163396 = sdtasdt0(978 ^ [_163396], 981 ^ [_163396]))], (987 ^ _133879) ^ [] : [-(doDivides0(978 ^ [_163396], _163396))], (989 ^ _133879) ^ [] : [978 ^ [_163396] = sz10], (991 ^ _133879) ^ [] : [978 ^ [_163396] = _163396]]]]], (82 ^ _133879) ^ [_136591, _136593, _136595, _136597] : [-(sdtmndt0(_136597, _136593) = sdtmndt0(_136595, _136591)), _136597 = _136595, _136593 = _136591], (92 ^ _133879) ^ [_136950, _136952, _136954, _136956] : [-(sdtpldt0(_136956, _136952) = sdtpldt0(_136954, _136950)), _136956 = _136954, _136952 = _136950], (102 ^ _133879) ^ [_137309, _137311, _137313, _137315] : [-(sdtsldt0(_137315, _137311) = sdtsldt0(_137313, _137309)), _137315 = _137313, _137311 = _137309], (112 ^ _133879) ^ [_137648, _137650, _137652, _137654] : [-(sdtasdt0(_137654, _137650) = sdtasdt0(_137652, _137648)), _137654 = _137652, _137650 = _137648], (2 ^ _133879) ^ [_134023] : [-(_134023 = _134023)], (4 ^ _133879) ^ [_134130, _134132] : [_134132 = _134130, -(_134130 = _134132)], (10 ^ _133879) ^ [_134334, _134336, _134338] : [-(_134338 = _134334), _134338 = _134336, _134336 = _134334], (20 ^ _133879) ^ [_134675, _134677, _134679, _134681] : [-(iLess0(_134679, _134675)), iLess0(_134681, _134677), _134681 = _134679, _134677 = _134675], (34 ^ _133879) ^ [_135119, _135121, _135123, _135125] : [-(sdtlseqdt0(_135123, _135119)), sdtlseqdt0(_135125, _135121), _135125 = _135123, _135121 = _135119], (48 ^ _133879) ^ [_135535, _135537] : [-(aNaturalNumber0(_135535)), _135537 = _135535, aNaturalNumber0(_135537)], (72 ^ _133879) ^ [_136254, _136256] : [-(isPrime0(_136254)), _136256 = _136254, isPrime0(_136256)], (58 ^ _133879) ^ [_135858, _135860, _135862, _135864] : [-(doDivides0(_135862, _135858)), doDivides0(_135864, _135860), _135864 = _135862, _135860 = _135858], (122 ^ _133879) ^ [_137979] : [aNaturalNumber0(_137979), true___, -(true___)], (132 ^ _133879) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _133879) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _133879) ^ [] : [sz10 = sz00], (138 ^ _133879) ^ [_138408, _138410] : [-(aNaturalNumber0(sdtpldt0(_138410, _138408))), aNaturalNumber0(_138410), aNaturalNumber0(_138408)], (148 ^ _133879) ^ [_138707, _138709] : [-(aNaturalNumber0(sdtasdt0(_138709, _138707))), aNaturalNumber0(_138709), aNaturalNumber0(_138707)], (158 ^ _133879) ^ [_139006, _139008] : [-(sdtpldt0(_139008, _139006) = sdtpldt0(_139006, _139008)), aNaturalNumber0(_139008), aNaturalNumber0(_139006)], (168 ^ _133879) ^ [_139327, _139329, _139331] : [-(sdtpldt0(sdtpldt0(_139331, _139329), _139327) = sdtpldt0(_139331, sdtpldt0(_139329, _139327))), aNaturalNumber0(_139331), aNaturalNumber0(_139329), aNaturalNumber0(_139327)], (182 ^ _133879) ^ [_139733] : [aNaturalNumber0(_139733), 185 ^ _133879 : [(186 ^ _133879) ^ [] : [-(sdtpldt0(_139733, sz00) = _139733)], (188 ^ _133879) ^ [] : [-(_139733 = sdtpldt0(sz00, _139733))]]], (190 ^ _133879) ^ [_140020, _140022] : [-(sdtasdt0(_140022, _140020) = sdtasdt0(_140020, _140022)), aNaturalNumber0(_140022), aNaturalNumber0(_140020)], (200 ^ _133879) ^ [_140341, _140343, _140345] : [-(sdtasdt0(sdtasdt0(_140345, _140343), _140341) = sdtasdt0(_140345, sdtasdt0(_140343, _140341))), aNaturalNumber0(_140345), aNaturalNumber0(_140343), aNaturalNumber0(_140341)], (214 ^ _133879) ^ [_140747] : [aNaturalNumber0(_140747), 217 ^ _133879 : [(218 ^ _133879) ^ [] : [-(sdtasdt0(_140747, sz10) = _140747)], (220 ^ _133879) ^ [] : [-(_140747 = sdtasdt0(sz10, _140747))]]], (222 ^ _133879) ^ [_141020] : [aNaturalNumber0(_141020), 225 ^ _133879 : [(226 ^ _133879) ^ [] : [-(sdtasdt0(_141020, sz00) = sz00)], (228 ^ _133879) ^ [] : [-(sz00 = sdtasdt0(sz00, _141020))]]], (230 ^ _133879) ^ [_141321, _141323, _141325] : [241 ^ _133879 : [(242 ^ _133879) ^ [] : [-(sdtasdt0(_141325, sdtpldt0(_141323, _141321)) = sdtpldt0(sdtasdt0(_141325, _141323), sdtasdt0(_141325, _141321)))], (244 ^ _133879) ^ [] : [-(sdtasdt0(sdtpldt0(_141323, _141321), _141325) = sdtpldt0(sdtasdt0(_141323, _141325), sdtasdt0(_141321, _141325)))]], aNaturalNumber0(_141325), aNaturalNumber0(_141323), aNaturalNumber0(_141321)], (246 ^ _133879) ^ [_141868, _141870, _141872] : [259 ^ _133879 : [(260 ^ _133879) ^ [] : [sdtpldt0(_141872, _141870) = sdtpldt0(_141872, _141868)], (262 ^ _133879) ^ [] : [sdtpldt0(_141870, _141872) = sdtpldt0(_141868, _141872)]], -(_141870 = _141868), aNaturalNumber0(_141872), aNaturalNumber0(_141870), aNaturalNumber0(_141868)], (266 ^ _133879) ^ [_142445] : [aNaturalNumber0(_142445), -(_142445 = sz00), 273 ^ _133879 : [(274 ^ _133879) ^ [_142707, _142709] : [aNaturalNumber0(_142709), aNaturalNumber0(_142707), 283 ^ _133879 : [(284 ^ _133879) ^ [] : [sdtasdt0(_142445, _142709) = sdtasdt0(_142445, _142707)], (286 ^ _133879) ^ [] : [sdtasdt0(_142709, _142445) = sdtasdt0(_142707, _142445)]], -(_142709 = _142707)]]], (290 ^ _133879) ^ [_143218, _143220] : [aNaturalNumber0(_143220), aNaturalNumber0(_143218), sdtpldt0(_143220, _143218) = sz00, 301 ^ _133879 : [(302 ^ _133879) ^ [] : [-(_143220 = sz00)], (304 ^ _133879) ^ [] : [-(_143218 = sz00)]]], (306 ^ _133879) ^ [_143685, _143687] : [aNaturalNumber0(_143687), aNaturalNumber0(_143685), sdtasdt0(_143687, _143685) = sz00, -(_143687 = sz00), -(_143685 = sz00)], (324 ^ _133879) ^ [_144167, _144169] : [aNaturalNumber0(_144169), aNaturalNumber0(_144167), 331 ^ _133879 : [(332 ^ _133879) ^ [] : [sdtlseqdt0(_144169, _144167), 336 ^ _133879 : [(337 ^ _133879) ^ [] : [-(aNaturalNumber0(335 ^ [_144167, _144169]))], (339 ^ _133879) ^ [] : [-(sdtpldt0(_144169, 335 ^ [_144167, _144169]) = _144167)]]], (341 ^ _133879) ^ [] : [-(sdtlseqdt0(_144169, _144167)), 342 ^ _133879 : [(343 ^ _133879) ^ [_144727] : [aNaturalNumber0(_144727), sdtpldt0(_144169, _144727) = _144167]]]]], (351 ^ _133879) ^ [_145010, _145012] : [aNaturalNumber0(_145012), aNaturalNumber0(_145010), sdtlseqdt0(_145012, _145010), 362 ^ _133879 : [(363 ^ _133879) ^ [_145357] : [_145357 = sdtmndt0(_145010, _145012), 366 ^ _133879 : [(367 ^ _133879) ^ [] : [-(aNaturalNumber0(_145357))], (369 ^ _133879) ^ [] : [-(sdtpldt0(_145012, _145357) = _145010)]]], (371 ^ _133879) ^ [_145616] : [-(_145616 = sdtmndt0(_145010, _145012)), aNaturalNumber0(_145616), sdtpldt0(_145012, _145616) = _145010]]], (381 ^ _133879) ^ [_145938] : [aNaturalNumber0(_145938), -(sdtlseqdt0(_145938, _145938))], (387 ^ _133879) ^ [_146140, _146142] : [aNaturalNumber0(_146142), aNaturalNumber0(_146140), -(_146142 = _146140), sdtlseqdt0(_146142, _146140), sdtlseqdt0(_146140, _146142)], (405 ^ _133879) ^ [_146629, _146631, _146633] : [aNaturalNumber0(_146633), aNaturalNumber0(_146631), aNaturalNumber0(_146629), -(sdtlseqdt0(_146633, _146629)), sdtlseqdt0(_146633, _146631), sdtlseqdt0(_146631, _146629)], (427 ^ _133879) ^ [_147215, _147217] : [aNaturalNumber0(_147217), aNaturalNumber0(_147215), -(sdtlseqdt0(_147217, _147215)), 438 ^ _133879 : [(439 ^ _133879) ^ [] : [_147215 = _147217], (441 ^ _133879) ^ [] : [-(sdtlseqdt0(_147215, _147217))]]], (443 ^ _133879) ^ [_147678, _147680] : [aNaturalNumber0(_147680), aNaturalNumber0(_147678), -(_147680 = _147678), sdtlseqdt0(_147680, _147678), 458 ^ _133879 : [(459 ^ _133879) ^ [_148122] : [aNaturalNumber0(_148122), 462 ^ _133879 : [(463 ^ _133879) ^ [] : [sdtpldt0(_148122, _147680) = sdtpldt0(_148122, _147678)], (465 ^ _133879) ^ [] : [-(sdtlseqdt0(sdtpldt0(_148122, _147680), sdtpldt0(_148122, _147678)))], (467 ^ _133879) ^ [] : [sdtpldt0(_147680, _148122) = sdtpldt0(_147678, _148122)], (469 ^ _133879) ^ [] : [-(sdtlseqdt0(sdtpldt0(_147680, _148122), sdtpldt0(_147678, _148122)))]]]]], (471 ^ _133879) ^ [_148646, _148648, _148650] : [aNaturalNumber0(_148650), aNaturalNumber0(_148648), aNaturalNumber0(_148646), 494 ^ _133879 : [(495 ^ _133879) ^ [] : [sdtasdt0(_148650, _148648) = sdtasdt0(_148650, _148646)], (497 ^ _133879) ^ [] : [-(sdtlseqdt0(sdtasdt0(_148650, _148648), sdtasdt0(_148650, _148646)))], (499 ^ _133879) ^ [] : [sdtasdt0(_148648, _148650) = sdtasdt0(_148646, _148650)], (501 ^ _133879) ^ [] : [-(sdtlseqdt0(sdtasdt0(_148648, _148650), sdtasdt0(_148646, _148650)))]], -(_148650 = sz00), -(_148648 = _148646), sdtlseqdt0(_148648, _148646)], (503 ^ _133879) ^ [_149596] : [aNaturalNumber0(_149596), -(_149596 = sz00), -(_149596 = sz10), 514 ^ _133879 : [(515 ^ _133879) ^ [] : [sz10 = _149596], (517 ^ _133879) ^ [] : [-(sdtlseqdt0(sz10, _149596))]]], (519 ^ _133879) ^ [_150044, _150046] : [aNaturalNumber0(_150046), aNaturalNumber0(_150044), -(_150046 = sz00), -(sdtlseqdt0(_150044, sdtasdt0(_150044, _150046)))], (533 ^ _133879) ^ [_150439, _150441] : [aNaturalNumber0(_150441), aNaturalNumber0(_150439), iLess0(_150441, _150439), true___, -(true___)], (551 ^ _133879) ^ [_150899, _150901] : [aNaturalNumber0(_150901), aNaturalNumber0(_150899), -(iLess0(_150901, _150899)), -(_150901 = _150899), sdtlseqdt0(_150901, _150899)], (569 ^ _133879) ^ [_151377, _151379] : [aNaturalNumber0(_151379), aNaturalNumber0(_151377), 576 ^ _133879 : [(577 ^ _133879) ^ [] : [doDivides0(_151379, _151377), 581 ^ _133879 : [(582 ^ _133879) ^ [] : [-(aNaturalNumber0(580 ^ [_151377, _151379]))], (584 ^ _133879) ^ [] : [-(_151377 = sdtasdt0(_151379, 580 ^ [_151377, _151379]))]]], (586 ^ _133879) ^ [] : [-(doDivides0(_151379, _151377)), 587 ^ _133879 : [(588 ^ _133879) ^ [_151937] : [aNaturalNumber0(_151937), _151377 = sdtasdt0(_151379, _151937)]]]]], (596 ^ _133879) ^ [_152220, _152222] : [aNaturalNumber0(_152222), aNaturalNumber0(_152220), -(_152222 = sz00), doDivides0(_152222, _152220), 611 ^ _133879 : [(612 ^ _133879) ^ [_152659] : [_152659 = sdtsldt0(_152220, _152222), 615 ^ _133879 : [(616 ^ _133879) ^ [] : [-(aNaturalNumber0(_152659))], (618 ^ _133879) ^ [] : [-(_152220 = sdtasdt0(_152222, _152659))]]], (620 ^ _133879) ^ [_152918] : [-(_152918 = sdtsldt0(_152220, _152222)), aNaturalNumber0(_152918), _152220 = sdtasdt0(_152222, _152918)]]], (630 ^ _133879) ^ [_153270, _153272, _153274] : [aNaturalNumber0(_153274), aNaturalNumber0(_153272), aNaturalNumber0(_153270), -(doDivides0(_153274, _153270)), doDivides0(_153274, _153272), doDivides0(_153272, _153270)], (652 ^ _133879) ^ [_153870, _153872, _153874] : [aNaturalNumber0(_153874), aNaturalNumber0(_153872), aNaturalNumber0(_153870), -(doDivides0(_153874, sdtpldt0(_153872, _153870))), doDivides0(_153874, _153872), doDivides0(_153874, _153870)], (674 ^ _133879) ^ [_154476, _154478, _154480] : [aNaturalNumber0(_154480), aNaturalNumber0(_154478), aNaturalNumber0(_154476), -(doDivides0(_154480, _154476)), doDivides0(_154480, _154478), doDivides0(_154480, sdtpldt0(_154478, _154476))], (696 ^ _133879) ^ [_155068, _155070] : [aNaturalNumber0(_155070), aNaturalNumber0(_155068), -(sdtlseqdt0(_155070, _155068)), doDivides0(_155070, _155068), -(_155068 = sz00)], (714 ^ _133879) ^ [_155546, _155548] : [aNaturalNumber0(_155548), aNaturalNumber0(_155546), -(_155548 = sz00), doDivides0(_155548, _155546), 729 ^ _133879 : [(730 ^ _133879) ^ [_155956] : [aNaturalNumber0(_155956), -(sdtasdt0(_155956, sdtsldt0(_155546, _155548)) = sdtsldt0(sdtasdt0(_155956, _155546), _155548))]]], (736 ^ _133879) ^ [_156197] : [aNaturalNumber0(_156197), 739 ^ _133879 : [(762 ^ _133879) ^ [] : [-(isPrime0(_156197)), -(_156197 = sz00), -(_156197 = sz10), 772 ^ _133879 : [(773 ^ _133879) ^ [] : [-(aNaturalNumber0(771 ^ [_156197]))], (775 ^ _133879) ^ [] : [-(doDivides0(771 ^ [_156197], _156197))], (777 ^ _133879) ^ [] : [771 ^ [_156197] = sz10], (779 ^ _133879) ^ [] : [771 ^ [_156197] = _156197]]], (740 ^ _133879) ^ [] : [isPrime0(_156197), 743 ^ _133879 : [(744 ^ _133879) ^ [] : [_156197 = sz00], (746 ^ _133879) ^ [] : [_156197 = sz10], (748 ^ _133879) ^ [_156589] : [aNaturalNumber0(_156589), doDivides0(_156589, _156197), -(_156589 = sz10), -(_156589 = _156197)]]]]], (783 ^ _133879) ^ [_157541] : [795 ^ _133879 : [(796 ^ _133879) ^ [] : [-(aNaturalNumber0(794 ^ [_157541]))], (798 ^ _133879) ^ [] : [-(doDivides0(794 ^ [_157541], _157541))], (800 ^ _133879) ^ [] : [-(isPrime0(794 ^ [_157541]))]], aNaturalNumber0(_157541), -(_157541 = sz00), -(_157541 = sz10)], (802 ^ _133879) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _133879) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _133879) ^ [] : [-(aNaturalNumber0(xp))], (808 ^ _133879) ^ [_158308, _158310, _158312] : [aNaturalNumber0(_158312), aNaturalNumber0(_158310), aNaturalNumber0(_158308), iLess0(sdtpldt0(sdtpldt0(_158312, _158310), _158308), sdtpldt0(sdtpldt0(xn, xm), xp)), 862 ^ _133879 : [(863 ^ _133879) ^ [] : [-(aNaturalNumber0(861 ^ [_158308, _158310, _158312]))], (865 ^ _133879) ^ [] : [-(_158312 = sdtasdt0(_158308, 861 ^ [_158308, _158310, _158312]))], (867 ^ _133879) ^ [] : [-(doDivides0(_158308, _158312))]], 869 ^ _133879 : [(870 ^ _133879) ^ [] : [-(aNaturalNumber0(868 ^ [_158308, _158310, _158312]))], (872 ^ _133879) ^ [] : [-(_158310 = sdtasdt0(_158308, 868 ^ [_158308, _158310, _158312]))], (874 ^ _133879) ^ [] : [-(doDivides0(_158308, _158310))]], 847 ^ _133879 : [(854 ^ _133879) ^ [] : [doDivides0(_158308, sdtasdt0(_158312, _158310))], (848 ^ _133879) ^ [_159729] : [aNaturalNumber0(_159729), sdtasdt0(_158312, _158310) = sdtasdt0(_158308, _159729)]], 823 ^ _133879 : [(846 ^ _133879) ^ [] : [isPrime0(_158308)], (824 ^ _133879) ^ [] : [-(_158308 = sz00), -(_158308 = sz10), 832 ^ _133879 : [(833 ^ _133879) ^ [] : [-(aNaturalNumber0(831 ^ [_158308, _158310, _158312]))], (836 ^ _133879) ^ [] : [-(aNaturalNumber0(834 ^ [_158308, _158310, _158312]))], (838 ^ _133879) ^ [] : [-(_158308 = sdtasdt0(831 ^ [_158308, _158310, _158312], 834 ^ [_158308, _158310, _158312]))], (840 ^ _133879) ^ [] : [-(doDivides0(831 ^ [_158308, _158310, _158312], _158308))], (842 ^ _133879) ^ [] : [831 ^ [_158308, _158310, _158312] = sz10], (844 ^ _133879) ^ [] : [831 ^ [_158308, _158310, _158312] = _158308]]]]], (915 ^ _133879) ^ [] : [sdtlseqdt0(xp, xn)], (909 ^ _133879) ^ [_161680] : [aNaturalNumber0(_161680), sdtpldt0(xp, _161680) = xn], (925 ^ _133879) ^ [] : [xn = xp], (928 ^ _133879) ^ [] : [-(aNaturalNumber0(926 ^ []))], (930 ^ _133879) ^ [] : [-(sdtpldt0(xn, 926 ^ []) = xp)], (932 ^ _133879) ^ [] : [-(sdtlseqdt0(xn, xp))], (934 ^ _133879) ^ [] : [xm = xp], (937 ^ _133879) ^ [] : [-(aNaturalNumber0(935 ^ []))], (939 ^ _133879) ^ [] : [-(sdtpldt0(xm, 935 ^ []) = xp)], (941 ^ _133879) ^ [] : [-(sdtlseqdt0(xm, xp))], (943 ^ _133879) ^ [] : [-(aNaturalNumber0(xk))], (945 ^ _133879) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, xk))], (947 ^ _133879) ^ [] : [-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))], (949 ^ _133879) ^ [] : [xk = sz00], (951 ^ _133879) ^ [] : [xk = sz10], (953 ^ _133879) ^ [] : [xk = sz00], (955 ^ _133879) ^ [] : [xk = sz10], (923 ^ _133879) ^ [] : [sdtlseqdt0(xp, xm)], (917 ^ _133879) ^ [_161927] : [aNaturalNumber0(_161927), sdtpldt0(xp, _161927) = xm], (876 ^ _133879) ^ [] : [xp = sz00], (878 ^ _133879) ^ [] : [xp = sz10], (900 ^ _133879) ^ [] : [-(isPrime0(xp))], (903 ^ _133879) ^ [] : [-(aNaturalNumber0(901 ^ []))], (905 ^ _133879) ^ [] : [-(sdtasdt0(xn, xm) = sdtasdt0(xp, 901 ^ []))], (907 ^ _133879) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (880 ^ _133879) ^ [_160819] : [-(_160819 = sz10), -(_160819 = xp), aNaturalNumber0(_160819), 885 ^ _133879 : [(892 ^ _133879) ^ [] : [doDivides0(_160819, xp)], (886 ^ _133879) ^ [_161022] : [aNaturalNumber0(_161022), xp = sdtasdt0(_160819, _161022)]]]], input).
% 3.90/4.47 ncf('1',plain,[xk = sz00],start(949 ^ 0)).
% 3.90/4.47 ncf('1.1',plain,[-(xk = sz00), 796 : -(aNaturalNumber0(794 ^ [xk])), 796 : aNaturalNumber0(xk), 796 : -(xk = sz10)],extension(783 ^ 1,bind([[_157541], [xk]]))).
% 3.90/4.47 ncf('1.1.1',plain,[aNaturalNumber0(794 ^ [xk]), 969 : doDivides0(794 ^ [xk], xk), 993 : isPrime0(794 ^ [xk])],extension(957 ^ 4,bind([[_163396], [794 ^ [xk]]]))).
% 3.90/4.47 ncf('1.1.1.1',plain,[-(doDivides0(794 ^ [xk], xk))],extension(798 ^ 7)).
% 3.90/4.47 ncf('1.1.1.2',plain,[-(isPrime0(794 ^ [xk]))],extension(800 ^ 7)).
% 3.90/4.47 ncf('1.1.2',plain,[-(aNaturalNumber0(xk)), 612 : xk = sdtsldt0(sdtasdt0(xn, xm), xp), 612 : aNaturalNumber0(xp), 612 : aNaturalNumber0(sdtasdt0(xn, xm)), 612 : -(xp = sz00), 612 : doDivides0(xp, sdtasdt0(xn, xm))],extension(596 ^ 2,bind([[_152220, _152222, _152659], [sdtasdt0(xn, xm), xp, xk]]))).
% 3.90/4.47 ncf('1.1.2.1',plain,[-(xk = sdtsldt0(sdtasdt0(xn, xm), xp))],extension(947 ^ 5)).
% 3.90/4.47 ncf('1.1.2.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 3.90/4.47 ncf('1.1.2.3',plain,[-(aNaturalNumber0(sdtasdt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(148 ^ 3,bind([[_138707, _138709], [xm, xn]]))).
% 3.90/4.47 ncf('1.1.2.3.1',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 4)).
% 3.90/4.47 ncf('1.1.2.3.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 4)).
% 3.90/4.47 ncf('1.1.2.4',plain,[xp = sz00, 740 : isPrime0(xp), 740 : aNaturalNumber0(xp)],extension(736 ^ 3,bind([[_156197], [xp]]))).
% 3.90/4.47 ncf('1.1.2.4.1',plain,[-(isPrime0(xp))],extension(900 ^ 6)).
% 3.90/4.47 ncf('1.1.2.4.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1, 1].x')).
% 3.90/4.47 ncf('1.1.2.5',plain,[-(doDivides0(xp, sdtasdt0(xn, xm)))],extension(907 ^ 3)).
% 3.90/4.47 ncf('1.1.3',plain,[xk = sz10],extension(951 ^ 2)).
% 3.90/4.47 %-----------------------------------------------------
% 3.90/4.47 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------