TSTP Solution File: NUM521+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM521+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n019.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 11:44:51 EDT 2023
% Result : Theorem 1.18s 1.38s
% Output : Proof 1.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : NUM521+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : nanocop.sh %s %d
% 0.11/0.33 % Computer : n019.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 18 17:42:27 EDT 2023
% 0.11/0.33 % CPUTime :
% 1.18/1.38
% 1.18/1.38 /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 1.18/1.38 Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.18/1.38 %-----------------------------------------------------
% 1.18/1.38 ncf(matrix, plain, [(860 ^ _110837) ^ [] : [doDivides0(xp, xn)], (862 ^ _110837) ^ [] : [doDivides0(xp, xm)], (82 ^ _110837) ^ [_113549, _113551, _113553, _113555] : [-(sdtmndt0(_113555, _113551) = sdtmndt0(_113553, _113549)), _113555 = _113553, _113551 = _113549], (92 ^ _110837) ^ [_113908, _113910, _113912, _113914] : [-(sdtsldt0(_113914, _113910) = sdtsldt0(_113912, _113908)), _113914 = _113912, _113910 = _113908], (102 ^ _110837) ^ [_114267, _114269, _114271, _114273] : [-(sdtpldt0(_114273, _114269) = sdtpldt0(_114271, _114267)), _114273 = _114271, _114269 = _114267], (112 ^ _110837) ^ [_114606, _114608, _114610, _114612] : [-(sdtasdt0(_114612, _114608) = sdtasdt0(_114610, _114606)), _114612 = _114610, _114608 = _114606], (2 ^ _110837) ^ [_110981] : [-(_110981 = _110981)], (4 ^ _110837) ^ [_111088, _111090] : [_111090 = _111088, -(_111088 = _111090)], (10 ^ _110837) ^ [_111292, _111294, _111296] : [-(_111296 = _111292), _111296 = _111294, _111294 = _111292], (20 ^ _110837) ^ [_111605, _111607] : [-(aNaturalNumber0(_111605)), _111607 = _111605, aNaturalNumber0(_111607)], (30 ^ _110837) ^ [_111928, _111930, _111932, _111934] : [-(iLess0(_111932, _111928)), iLess0(_111934, _111930), _111934 = _111932, _111930 = _111928], (44 ^ _110837) ^ [_112344, _112346] : [-(isPrime0(_112344)), _112346 = _112344, isPrime0(_112346)], (54 ^ _110837) ^ [_112667, _112669, _112671, _112673] : [-(sdtlseqdt0(_112671, _112667)), sdtlseqdt0(_112673, _112669), _112673 = _112671, _112669 = _112667], (68 ^ _110837) ^ [_113091, _113093, _113095, _113097] : [-(doDivides0(_113095, _113091)), doDivides0(_113097, _113093), _113097 = _113095, _113093 = _113091], (122 ^ _110837) ^ [_114937] : [aNaturalNumber0(_114937), true___, -(true___)], (132 ^ _110837) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _110837) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _110837) ^ [] : [sz10 = sz00], (138 ^ _110837) ^ [_115366, _115368] : [-(aNaturalNumber0(sdtpldt0(_115368, _115366))), aNaturalNumber0(_115368), aNaturalNumber0(_115366)], (148 ^ _110837) ^ [_115665, _115667] : [-(aNaturalNumber0(sdtasdt0(_115667, _115665))), aNaturalNumber0(_115667), aNaturalNumber0(_115665)], (158 ^ _110837) ^ [_115964, _115966] : [-(sdtpldt0(_115966, _115964) = sdtpldt0(_115964, _115966)), aNaturalNumber0(_115966), aNaturalNumber0(_115964)], (168 ^ _110837) ^ [_116285, _116287, _116289] : [-(sdtpldt0(sdtpldt0(_116289, _116287), _116285) = sdtpldt0(_116289, sdtpldt0(_116287, _116285))), aNaturalNumber0(_116289), aNaturalNumber0(_116287), aNaturalNumber0(_116285)], (182 ^ _110837) ^ [_116691] : [aNaturalNumber0(_116691), 185 ^ _110837 : [(186 ^ _110837) ^ [] : [-(sdtpldt0(_116691, sz00) = _116691)], (188 ^ _110837) ^ [] : [-(_116691 = sdtpldt0(sz00, _116691))]]], (190 ^ _110837) ^ [_116978, _116980] : [-(sdtasdt0(_116980, _116978) = sdtasdt0(_116978, _116980)), aNaturalNumber0(_116980), aNaturalNumber0(_116978)], (200 ^ _110837) ^ [_117299, _117301, _117303] : [-(sdtasdt0(sdtasdt0(_117303, _117301), _117299) = sdtasdt0(_117303, sdtasdt0(_117301, _117299))), aNaturalNumber0(_117303), aNaturalNumber0(_117301), aNaturalNumber0(_117299)], (214 ^ _110837) ^ [_117705] : [aNaturalNumber0(_117705), 217 ^ _110837 : [(218 ^ _110837) ^ [] : [-(sdtasdt0(_117705, sz10) = _117705)], (220 ^ _110837) ^ [] : [-(_117705 = sdtasdt0(sz10, _117705))]]], (222 ^ _110837) ^ [_117978] : [aNaturalNumber0(_117978), 225 ^ _110837 : [(226 ^ _110837) ^ [] : [-(sdtasdt0(_117978, sz00) = sz00)], (228 ^ _110837) ^ [] : [-(sz00 = sdtasdt0(sz00, _117978))]]], (230 ^ _110837) ^ [_118279, _118281, _118283] : [241 ^ _110837 : [(242 ^ _110837) ^ [] : [-(sdtasdt0(_118283, sdtpldt0(_118281, _118279)) = sdtpldt0(sdtasdt0(_118283, _118281), sdtasdt0(_118283, _118279)))], (244 ^ _110837) ^ [] : [-(sdtasdt0(sdtpldt0(_118281, _118279), _118283) = sdtpldt0(sdtasdt0(_118281, _118283), sdtasdt0(_118279, _118283)))]], aNaturalNumber0(_118283), aNaturalNumber0(_118281), aNaturalNumber0(_118279)], (246 ^ _110837) ^ [_118826, _118828, _118830] : [259 ^ _110837 : [(260 ^ _110837) ^ [] : [sdtpldt0(_118830, _118828) = sdtpldt0(_118830, _118826)], (262 ^ _110837) ^ [] : [sdtpldt0(_118828, _118830) = sdtpldt0(_118826, _118830)]], -(_118828 = _118826), aNaturalNumber0(_118830), aNaturalNumber0(_118828), aNaturalNumber0(_118826)], (266 ^ _110837) ^ [_119403] : [aNaturalNumber0(_119403), -(_119403 = sz00), 273 ^ _110837 : [(274 ^ _110837) ^ [_119665, _119667] : [aNaturalNumber0(_119667), aNaturalNumber0(_119665), 283 ^ _110837 : [(284 ^ _110837) ^ [] : [sdtasdt0(_119403, _119667) = sdtasdt0(_119403, _119665)], (286 ^ _110837) ^ [] : [sdtasdt0(_119667, _119403) = sdtasdt0(_119665, _119403)]], -(_119667 = _119665)]]], (290 ^ _110837) ^ [_120176, _120178] : [aNaturalNumber0(_120178), aNaturalNumber0(_120176), sdtpldt0(_120178, _120176) = sz00, 301 ^ _110837 : [(302 ^ _110837) ^ [] : [-(_120178 = sz00)], (304 ^ _110837) ^ [] : [-(_120176 = sz00)]]], (306 ^ _110837) ^ [_120643, _120645] : [aNaturalNumber0(_120645), aNaturalNumber0(_120643), sdtasdt0(_120645, _120643) = sz00, -(_120645 = sz00), -(_120643 = sz00)], (324 ^ _110837) ^ [_121125, _121127] : [aNaturalNumber0(_121127), aNaturalNumber0(_121125), 331 ^ _110837 : [(332 ^ _110837) ^ [] : [sdtlseqdt0(_121127, _121125), 336 ^ _110837 : [(337 ^ _110837) ^ [] : [-(aNaturalNumber0(335 ^ [_121125, _121127]))], (339 ^ _110837) ^ [] : [-(sdtpldt0(_121127, 335 ^ [_121125, _121127]) = _121125)]]], (341 ^ _110837) ^ [] : [-(sdtlseqdt0(_121127, _121125)), 342 ^ _110837 : [(343 ^ _110837) ^ [_121685] : [aNaturalNumber0(_121685), sdtpldt0(_121127, _121685) = _121125]]]]], (351 ^ _110837) ^ [_121968, _121970] : [aNaturalNumber0(_121970), aNaturalNumber0(_121968), sdtlseqdt0(_121970, _121968), 362 ^ _110837 : [(363 ^ _110837) ^ [_122315] : [_122315 = sdtmndt0(_121968, _121970), 366 ^ _110837 : [(367 ^ _110837) ^ [] : [-(aNaturalNumber0(_122315))], (369 ^ _110837) ^ [] : [-(sdtpldt0(_121970, _122315) = _121968)]]], (371 ^ _110837) ^ [_122574] : [-(_122574 = sdtmndt0(_121968, _121970)), aNaturalNumber0(_122574), sdtpldt0(_121970, _122574) = _121968]]], (381 ^ _110837) ^ [_122896] : [aNaturalNumber0(_122896), -(sdtlseqdt0(_122896, _122896))], (387 ^ _110837) ^ [_123098, _123100] : [aNaturalNumber0(_123100), aNaturalNumber0(_123098), -(_123100 = _123098), sdtlseqdt0(_123100, _123098), sdtlseqdt0(_123098, _123100)], (405 ^ _110837) ^ [_123587, _123589, _123591] : [aNaturalNumber0(_123591), aNaturalNumber0(_123589), aNaturalNumber0(_123587), -(sdtlseqdt0(_123591, _123587)), sdtlseqdt0(_123591, _123589), sdtlseqdt0(_123589, _123587)], (427 ^ _110837) ^ [_124173, _124175] : [aNaturalNumber0(_124175), aNaturalNumber0(_124173), -(sdtlseqdt0(_124175, _124173)), 438 ^ _110837 : [(439 ^ _110837) ^ [] : [_124173 = _124175], (441 ^ _110837) ^ [] : [-(sdtlseqdt0(_124173, _124175))]]], (443 ^ _110837) ^ [_124636, _124638] : [aNaturalNumber0(_124638), aNaturalNumber0(_124636), -(_124638 = _124636), sdtlseqdt0(_124638, _124636), 458 ^ _110837 : [(459 ^ _110837) ^ [_125080] : [aNaturalNumber0(_125080), 462 ^ _110837 : [(463 ^ _110837) ^ [] : [sdtpldt0(_125080, _124638) = sdtpldt0(_125080, _124636)], (465 ^ _110837) ^ [] : [-(sdtlseqdt0(sdtpldt0(_125080, _124638), sdtpldt0(_125080, _124636)))], (467 ^ _110837) ^ [] : [sdtpldt0(_124638, _125080) = sdtpldt0(_124636, _125080)], (469 ^ _110837) ^ [] : [-(sdtlseqdt0(sdtpldt0(_124638, _125080), sdtpldt0(_124636, _125080)))]]]]], (471 ^ _110837) ^ [_125604, _125606, _125608] : [aNaturalNumber0(_125608), aNaturalNumber0(_125606), aNaturalNumber0(_125604), 494 ^ _110837 : [(495 ^ _110837) ^ [] : [sdtasdt0(_125608, _125606) = sdtasdt0(_125608, _125604)], (497 ^ _110837) ^ [] : [-(sdtlseqdt0(sdtasdt0(_125608, _125606), sdtasdt0(_125608, _125604)))], (499 ^ _110837) ^ [] : [sdtasdt0(_125606, _125608) = sdtasdt0(_125604, _125608)], (501 ^ _110837) ^ [] : [-(sdtlseqdt0(sdtasdt0(_125606, _125608), sdtasdt0(_125604, _125608)))]], -(_125608 = sz00), -(_125606 = _125604), sdtlseqdt0(_125606, _125604)], (503 ^ _110837) ^ [_126554] : [aNaturalNumber0(_126554), -(_126554 = sz00), -(_126554 = sz10), 514 ^ _110837 : [(515 ^ _110837) ^ [] : [sz10 = _126554], (517 ^ _110837) ^ [] : [-(sdtlseqdt0(sz10, _126554))]]], (519 ^ _110837) ^ [_127002, _127004] : [aNaturalNumber0(_127004), aNaturalNumber0(_127002), -(_127004 = sz00), -(sdtlseqdt0(_127002, sdtasdt0(_127002, _127004)))], (533 ^ _110837) ^ [_127397, _127399] : [aNaturalNumber0(_127399), aNaturalNumber0(_127397), iLess0(_127399, _127397), true___, -(true___)], (551 ^ _110837) ^ [_127857, _127859] : [aNaturalNumber0(_127859), aNaturalNumber0(_127857), -(iLess0(_127859, _127857)), -(_127859 = _127857), sdtlseqdt0(_127859, _127857)], (569 ^ _110837) ^ [_128335, _128337] : [aNaturalNumber0(_128337), aNaturalNumber0(_128335), 576 ^ _110837 : [(577 ^ _110837) ^ [] : [doDivides0(_128337, _128335), 581 ^ _110837 : [(582 ^ _110837) ^ [] : [-(aNaturalNumber0(580 ^ [_128335, _128337]))], (584 ^ _110837) ^ [] : [-(_128335 = sdtasdt0(_128337, 580 ^ [_128335, _128337]))]]], (586 ^ _110837) ^ [] : [-(doDivides0(_128337, _128335)), 587 ^ _110837 : [(588 ^ _110837) ^ [_128895] : [aNaturalNumber0(_128895), _128335 = sdtasdt0(_128337, _128895)]]]]], (596 ^ _110837) ^ [_129178, _129180] : [aNaturalNumber0(_129180), aNaturalNumber0(_129178), -(_129180 = sz00), doDivides0(_129180, _129178), 611 ^ _110837 : [(612 ^ _110837) ^ [_129617] : [_129617 = sdtsldt0(_129178, _129180), 615 ^ _110837 : [(616 ^ _110837) ^ [] : [-(aNaturalNumber0(_129617))], (618 ^ _110837) ^ [] : [-(_129178 = sdtasdt0(_129180, _129617))]]], (620 ^ _110837) ^ [_129876] : [-(_129876 = sdtsldt0(_129178, _129180)), aNaturalNumber0(_129876), _129178 = sdtasdt0(_129180, _129876)]]], (630 ^ _110837) ^ [_130228, _130230, _130232] : [aNaturalNumber0(_130232), aNaturalNumber0(_130230), aNaturalNumber0(_130228), -(doDivides0(_130232, _130228)), doDivides0(_130232, _130230), doDivides0(_130230, _130228)], (652 ^ _110837) ^ [_130828, _130830, _130832] : [aNaturalNumber0(_130832), aNaturalNumber0(_130830), aNaturalNumber0(_130828), -(doDivides0(_130832, sdtpldt0(_130830, _130828))), doDivides0(_130832, _130830), doDivides0(_130832, _130828)], (674 ^ _110837) ^ [_131434, _131436, _131438] : [aNaturalNumber0(_131438), aNaturalNumber0(_131436), aNaturalNumber0(_131434), -(doDivides0(_131438, _131434)), doDivides0(_131438, _131436), doDivides0(_131438, sdtpldt0(_131436, _131434))], (696 ^ _110837) ^ [_132026, _132028] : [aNaturalNumber0(_132028), aNaturalNumber0(_132026), -(sdtlseqdt0(_132028, _132026)), doDivides0(_132028, _132026), -(_132026 = sz00)], (714 ^ _110837) ^ [_132504, _132506] : [aNaturalNumber0(_132506), aNaturalNumber0(_132504), -(_132506 = sz00), doDivides0(_132506, _132504), 729 ^ _110837 : [(730 ^ _110837) ^ [_132914] : [aNaturalNumber0(_132914), -(sdtasdt0(_132914, sdtsldt0(_132504, _132506)) = sdtsldt0(sdtasdt0(_132914, _132504), _132506))]]], (736 ^ _110837) ^ [_133155] : [aNaturalNumber0(_133155), 739 ^ _110837 : [(762 ^ _110837) ^ [] : [-(isPrime0(_133155)), -(_133155 = sz00), -(_133155 = sz10), 772 ^ _110837 : [(773 ^ _110837) ^ [] : [-(aNaturalNumber0(771 ^ [_133155]))], (775 ^ _110837) ^ [] : [-(doDivides0(771 ^ [_133155], _133155))], (777 ^ _110837) ^ [] : [771 ^ [_133155] = sz10], (779 ^ _110837) ^ [] : [771 ^ [_133155] = _133155]]], (740 ^ _110837) ^ [] : [isPrime0(_133155), 743 ^ _110837 : [(744 ^ _110837) ^ [] : [_133155 = sz00], (746 ^ _110837) ^ [] : [_133155 = sz10], (748 ^ _110837) ^ [_133547] : [aNaturalNumber0(_133547), doDivides0(_133547, _133155), -(_133547 = sz10), -(_133547 = _133155)]]]]], (783 ^ _110837) ^ [_134499] : [795 ^ _110837 : [(796 ^ _110837) ^ [] : [-(aNaturalNumber0(794 ^ [_134499]))], (798 ^ _110837) ^ [] : [-(doDivides0(794 ^ [_134499], _134499))], (800 ^ _110837) ^ [] : [-(isPrime0(794 ^ [_134499]))]], aNaturalNumber0(_134499), -(_134499 = sz00), -(_134499 = sz10)], (802 ^ _110837) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _110837) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _110837) ^ [] : [-(aNaturalNumber0(xp))], (838 ^ _110837) ^ [] : [-(isPrime0(xp))], (840 ^ _110837) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (842 ^ _110837) ^ [] : [sdtlseqdt0(xp, xn)], (844 ^ _110837) ^ [] : [sdtlseqdt0(xp, xm)], (846 ^ _110837) ^ [] : [-(xn = xp), sdtlseqdt0(xn, xp), -(xm = xp), sdtlseqdt0(xm, xp)], (808 ^ _110837) ^ [_135266, _135268, _135270] : [aNaturalNumber0(_135270), aNaturalNumber0(_135268), aNaturalNumber0(_135266), isPrime0(_135266), doDivides0(_135266, sdtasdt0(_135270, _135268)), iLess0(sdtpldt0(sdtpldt0(_135270, _135268), _135266), sdtpldt0(sdtpldt0(xn, xm), xp)), -(doDivides0(_135266, _135270)), -(doDivides0(_135266, _135268))]], input).
% 1.18/1.38 ncf('1',plain,[sdtlseqdt0(xp, xn)],start(842 ^ 0)).
% 1.18/1.38 ncf('1.1',plain,[-(sdtlseqdt0(xp, xn)), aNaturalNumber0(xp), aNaturalNumber0(xn), 439 : xn = xp],extension(427 ^ 1,bind([[_124173, _124175], [xn, xp]]))).
% 1.18/1.38 ncf('1.1.1',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 2)).
% 1.18/1.38 ncf('1.1.2',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 2)).
% 1.18/1.38 ncf('1.1.3',plain,[-(xn = xp), sdtlseqdt0(xn, xp), -(xm = xp), sdtlseqdt0(xm, xp)],extension(846 ^ 4)).
% 1.18/1.38 ncf('1.1.3.1',plain,[-(sdtlseqdt0(xn, xp)), aNaturalNumber0(xn), aNaturalNumber0(xp), 441 : -(sdtlseqdt0(xp, xn))],extension(427 ^ 5,bind([[_124173, _124175], [xp, xn]]))).
% 1.18/1.38 ncf('1.1.3.1.1',plain,[-(aNaturalNumber0(xn))],lemmata('[1].x')).
% 1.18/1.38 ncf('1.1.3.1.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 1.18/1.38 ncf('1.1.3.1.3',plain,[sdtlseqdt0(xp, xn)],reduction('1')).
% 1.18/1.38 ncf('1.1.3.2',plain,[xm = xp, aNaturalNumber0(xp), aNaturalNumber0(xm), -(sdtlseqdt0(xp, xm))],extension(427 ^ 5,bind([[_124173, _124175], [xm, xp]]))).
% 1.18/1.38 ncf('1.1.3.2.1',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 1.18/1.38 ncf('1.1.3.2.2',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 6)).
% 1.18/1.38 ncf('1.1.3.2.3',plain,[sdtlseqdt0(xp, xm)],extension(844 ^ 6)).
% 1.18/1.38 ncf('1.1.3.3',plain,[-(sdtlseqdt0(xm, xp)), aNaturalNumber0(xm), aNaturalNumber0(xp), 441 : -(sdtlseqdt0(xp, xm))],extension(427 ^ 5,bind([[_124173, _124175], [xp, xm]]))).
% 1.18/1.38 ncf('1.1.3.3.1',plain,[-(aNaturalNumber0(xm))],extension(804 ^ 6)).
% 1.18/1.38 ncf('1.1.3.3.2',plain,[-(aNaturalNumber0(xp))],lemmata('[1].x')).
% 1.18/1.38 ncf('1.1.3.3.3',plain,[sdtlseqdt0(xp, xm)],extension(844 ^ 8)).
% 1.18/1.38 %-----------------------------------------------------
% 1.18/1.38 End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------