TSTP Solution File: NUM489+1 by nanoCoP---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : NUM489+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n020.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 11:44:45 EDT 2023
% Result : Theorem 0.34s 1.40s
% Output : Proof 0.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM489+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : nanocop.sh %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 18 17:39:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.34/1.40
% 0.34/1.40 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.34/1.40 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.40 %-----------------------------------------------------
% 0.34/1.40 ncf(matrix, plain, [(850 ^ _108191) ^ [] : [xn = sdtpldt0(xp, xr)], (82 ^ _108191) ^ [_110903, _110905, _110907, _110909] : [-(sdtsldt0(_110909, _110905) = sdtsldt0(_110907, _110903)), _110909 = _110907, _110905 = _110903], (92 ^ _108191) ^ [_111262, _111264, _111266, _111268] : [-(sdtasdt0(_111268, _111264) = sdtasdt0(_111266, _111262)), _111268 = _111266, _111264 = _111262], (102 ^ _108191) ^ [_111621, _111623, _111625, _111627] : [-(sdtmndt0(_111627, _111623) = sdtmndt0(_111625, _111621)), _111627 = _111625, _111623 = _111621], (112 ^ _108191) ^ [_111960, _111962, _111964, _111966] : [-(sdtpldt0(_111966, _111962) = sdtpldt0(_111964, _111960)), _111966 = _111964, _111962 = _111960], (2 ^ _108191) ^ [_108335] : [-(_108335 = _108335)], (4 ^ _108191) ^ [_108442, _108444] : [_108444 = _108442, -(_108442 = _108444)], (10 ^ _108191) ^ [_108646, _108648, _108650] : [-(_108650 = _108646), _108650 = _108648, _108648 = _108646], (20 ^ _108191) ^ [_108959, _108961] : [-(aNaturalNumber0(_108959)), _108961 = _108959, aNaturalNumber0(_108961)], (30 ^ _108191) ^ [_109282, _109284, _109286, _109288] : [-(iLess0(_109286, _109282)), iLess0(_109288, _109284), _109288 = _109286, _109284 = _109282], (44 ^ _108191) ^ [_109698, _109700] : [-(isPrime0(_109698)), _109700 = _109698, isPrime0(_109700)], (54 ^ _108191) ^ [_110021, _110023, _110025, _110027] : [-(doDivides0(_110025, _110021)), doDivides0(_110027, _110023), _110027 = _110025, _110023 = _110021], (68 ^ _108191) ^ [_110445, _110447, _110449, _110451] : [-(sdtlseqdt0(_110449, _110445)), sdtlseqdt0(_110451, _110447), _110451 = _110449, _110447 = _110445], (122 ^ _108191) ^ [_112291] : [aNaturalNumber0(_112291), true___, -(true___)], (132 ^ _108191) ^ [] : [-(aNaturalNumber0(sz00))], (134 ^ _108191) ^ [] : [-(aNaturalNumber0(sz10))], (136 ^ _108191) ^ [] : [sz10 = sz00], (138 ^ _108191) ^ [_112720, _112722] : [-(aNaturalNumber0(sdtpldt0(_112722, _112720))), aNaturalNumber0(_112722), aNaturalNumber0(_112720)], (148 ^ _108191) ^ [_113019, _113021] : [-(aNaturalNumber0(sdtasdt0(_113021, _113019))), aNaturalNumber0(_113021), aNaturalNumber0(_113019)], (158 ^ _108191) ^ [_113318, _113320] : [-(sdtpldt0(_113320, _113318) = sdtpldt0(_113318, _113320)), aNaturalNumber0(_113320), aNaturalNumber0(_113318)], (168 ^ _108191) ^ [_113639, _113641, _113643] : [-(sdtpldt0(sdtpldt0(_113643, _113641), _113639) = sdtpldt0(_113643, sdtpldt0(_113641, _113639))), aNaturalNumber0(_113643), aNaturalNumber0(_113641), aNaturalNumber0(_113639)], (182 ^ _108191) ^ [_114045] : [aNaturalNumber0(_114045), 185 ^ _108191 : [(186 ^ _108191) ^ [] : [-(sdtpldt0(_114045, sz00) = _114045)], (188 ^ _108191) ^ [] : [-(_114045 = sdtpldt0(sz00, _114045))]]], (190 ^ _108191) ^ [_114332, _114334] : [-(sdtasdt0(_114334, _114332) = sdtasdt0(_114332, _114334)), aNaturalNumber0(_114334), aNaturalNumber0(_114332)], (200 ^ _108191) ^ [_114653, _114655, _114657] : [-(sdtasdt0(sdtasdt0(_114657, _114655), _114653) = sdtasdt0(_114657, sdtasdt0(_114655, _114653))), aNaturalNumber0(_114657), aNaturalNumber0(_114655), aNaturalNumber0(_114653)], (214 ^ _108191) ^ [_115059] : [aNaturalNumber0(_115059), 217 ^ _108191 : [(218 ^ _108191) ^ [] : [-(sdtasdt0(_115059, sz10) = _115059)], (220 ^ _108191) ^ [] : [-(_115059 = sdtasdt0(sz10, _115059))]]], (222 ^ _108191) ^ [_115332] : [aNaturalNumber0(_115332), 225 ^ _108191 : [(226 ^ _108191) ^ [] : [-(sdtasdt0(_115332, sz00) = sz00)], (228 ^ _108191) ^ [] : [-(sz00 = sdtasdt0(sz00, _115332))]]], (230 ^ _108191) ^ [_115633, _115635, _115637] : [241 ^ _108191 : [(242 ^ _108191) ^ [] : [-(sdtasdt0(_115637, sdtpldt0(_115635, _115633)) = sdtpldt0(sdtasdt0(_115637, _115635), sdtasdt0(_115637, _115633)))], (244 ^ _108191) ^ [] : [-(sdtasdt0(sdtpldt0(_115635, _115633), _115637) = sdtpldt0(sdtasdt0(_115635, _115637), sdtasdt0(_115633, _115637)))]], aNaturalNumber0(_115637), aNaturalNumber0(_115635), aNaturalNumber0(_115633)], (246 ^ _108191) ^ [_116180, _116182, _116184] : [259 ^ _108191 : [(260 ^ _108191) ^ [] : [sdtpldt0(_116184, _116182) = sdtpldt0(_116184, _116180)], (262 ^ _108191) ^ [] : [sdtpldt0(_116182, _116184) = sdtpldt0(_116180, _116184)]], -(_116182 = _116180), aNaturalNumber0(_116184), aNaturalNumber0(_116182), aNaturalNumber0(_116180)], (266 ^ _108191) ^ [_116757] : [aNaturalNumber0(_116757), -(_116757 = sz00), 273 ^ _108191 : [(274 ^ _108191) ^ [_117019, _117021] : [aNaturalNumber0(_117021), aNaturalNumber0(_117019), 283 ^ _108191 : [(284 ^ _108191) ^ [] : [sdtasdt0(_116757, _117021) = sdtasdt0(_116757, _117019)], (286 ^ _108191) ^ [] : [sdtasdt0(_117021, _116757) = sdtasdt0(_117019, _116757)]], -(_117021 = _117019)]]], (290 ^ _108191) ^ [_117530, _117532] : [aNaturalNumber0(_117532), aNaturalNumber0(_117530), sdtpldt0(_117532, _117530) = sz00, 301 ^ _108191 : [(302 ^ _108191) ^ [] : [-(_117532 = sz00)], (304 ^ _108191) ^ [] : [-(_117530 = sz00)]]], (306 ^ _108191) ^ [_117997, _117999] : [aNaturalNumber0(_117999), aNaturalNumber0(_117997), sdtasdt0(_117999, _117997) = sz00, -(_117999 = sz00), -(_117997 = sz00)], (324 ^ _108191) ^ [_118479, _118481] : [aNaturalNumber0(_118481), aNaturalNumber0(_118479), 331 ^ _108191 : [(332 ^ _108191) ^ [] : [sdtlseqdt0(_118481, _118479), 336 ^ _108191 : [(337 ^ _108191) ^ [] : [-(aNaturalNumber0(335 ^ [_118479, _118481]))], (339 ^ _108191) ^ [] : [-(sdtpldt0(_118481, 335 ^ [_118479, _118481]) = _118479)]]], (341 ^ _108191) ^ [] : [-(sdtlseqdt0(_118481, _118479)), 342 ^ _108191 : [(343 ^ _108191) ^ [_119039] : [aNaturalNumber0(_119039), sdtpldt0(_118481, _119039) = _118479]]]]], (351 ^ _108191) ^ [_119322, _119324] : [aNaturalNumber0(_119324), aNaturalNumber0(_119322), sdtlseqdt0(_119324, _119322), 362 ^ _108191 : [(363 ^ _108191) ^ [_119669] : [_119669 = sdtmndt0(_119322, _119324), 366 ^ _108191 : [(367 ^ _108191) ^ [] : [-(aNaturalNumber0(_119669))], (369 ^ _108191) ^ [] : [-(sdtpldt0(_119324, _119669) = _119322)]]], (371 ^ _108191) ^ [_119928] : [-(_119928 = sdtmndt0(_119322, _119324)), aNaturalNumber0(_119928), sdtpldt0(_119324, _119928) = _119322]]], (381 ^ _108191) ^ [_120250] : [aNaturalNumber0(_120250), -(sdtlseqdt0(_120250, _120250))], (387 ^ _108191) ^ [_120452, _120454] : [aNaturalNumber0(_120454), aNaturalNumber0(_120452), -(_120454 = _120452), sdtlseqdt0(_120454, _120452), sdtlseqdt0(_120452, _120454)], (405 ^ _108191) ^ [_120941, _120943, _120945] : [aNaturalNumber0(_120945), aNaturalNumber0(_120943), aNaturalNumber0(_120941), -(sdtlseqdt0(_120945, _120941)), sdtlseqdt0(_120945, _120943), sdtlseqdt0(_120943, _120941)], (427 ^ _108191) ^ [_121527, _121529] : [aNaturalNumber0(_121529), aNaturalNumber0(_121527), -(sdtlseqdt0(_121529, _121527)), 438 ^ _108191 : [(439 ^ _108191) ^ [] : [_121527 = _121529], (441 ^ _108191) ^ [] : [-(sdtlseqdt0(_121527, _121529))]]], (443 ^ _108191) ^ [_121990, _121992] : [aNaturalNumber0(_121992), aNaturalNumber0(_121990), -(_121992 = _121990), sdtlseqdt0(_121992, _121990), 458 ^ _108191 : [(459 ^ _108191) ^ [_122434] : [aNaturalNumber0(_122434), 462 ^ _108191 : [(463 ^ _108191) ^ [] : [sdtpldt0(_122434, _121992) = sdtpldt0(_122434, _121990)], (465 ^ _108191) ^ [] : [-(sdtlseqdt0(sdtpldt0(_122434, _121992), sdtpldt0(_122434, _121990)))], (467 ^ _108191) ^ [] : [sdtpldt0(_121992, _122434) = sdtpldt0(_121990, _122434)], (469 ^ _108191) ^ [] : [-(sdtlseqdt0(sdtpldt0(_121992, _122434), sdtpldt0(_121990, _122434)))]]]]], (471 ^ _108191) ^ [_122958, _122960, _122962] : [aNaturalNumber0(_122962), aNaturalNumber0(_122960), aNaturalNumber0(_122958), 494 ^ _108191 : [(495 ^ _108191) ^ [] : [sdtasdt0(_122962, _122960) = sdtasdt0(_122962, _122958)], (497 ^ _108191) ^ [] : [-(sdtlseqdt0(sdtasdt0(_122962, _122960), sdtasdt0(_122962, _122958)))], (499 ^ _108191) ^ [] : [sdtasdt0(_122960, _122962) = sdtasdt0(_122958, _122962)], (501 ^ _108191) ^ [] : [-(sdtlseqdt0(sdtasdt0(_122960, _122962), sdtasdt0(_122958, _122962)))]], -(_122962 = sz00), -(_122960 = _122958), sdtlseqdt0(_122960, _122958)], (503 ^ _108191) ^ [_123908] : [aNaturalNumber0(_123908), -(_123908 = sz00), -(_123908 = sz10), 514 ^ _108191 : [(515 ^ _108191) ^ [] : [sz10 = _123908], (517 ^ _108191) ^ [] : [-(sdtlseqdt0(sz10, _123908))]]], (519 ^ _108191) ^ [_124356, _124358] : [aNaturalNumber0(_124358), aNaturalNumber0(_124356), -(_124358 = sz00), -(sdtlseqdt0(_124356, sdtasdt0(_124356, _124358)))], (533 ^ _108191) ^ [_124751, _124753] : [aNaturalNumber0(_124753), aNaturalNumber0(_124751), iLess0(_124753, _124751), true___, -(true___)], (551 ^ _108191) ^ [_125211, _125213] : [aNaturalNumber0(_125213), aNaturalNumber0(_125211), -(iLess0(_125213, _125211)), -(_125213 = _125211), sdtlseqdt0(_125213, _125211)], (569 ^ _108191) ^ [_125689, _125691] : [aNaturalNumber0(_125691), aNaturalNumber0(_125689), 576 ^ _108191 : [(577 ^ _108191) ^ [] : [doDivides0(_125691, _125689), 581 ^ _108191 : [(582 ^ _108191) ^ [] : [-(aNaturalNumber0(580 ^ [_125689, _125691]))], (584 ^ _108191) ^ [] : [-(_125689 = sdtasdt0(_125691, 580 ^ [_125689, _125691]))]]], (586 ^ _108191) ^ [] : [-(doDivides0(_125691, _125689)), 587 ^ _108191 : [(588 ^ _108191) ^ [_126249] : [aNaturalNumber0(_126249), _125689 = sdtasdt0(_125691, _126249)]]]]], (596 ^ _108191) ^ [_126532, _126534] : [aNaturalNumber0(_126534), aNaturalNumber0(_126532), -(_126534 = sz00), doDivides0(_126534, _126532), 611 ^ _108191 : [(612 ^ _108191) ^ [_126971] : [_126971 = sdtsldt0(_126532, _126534), 615 ^ _108191 : [(616 ^ _108191) ^ [] : [-(aNaturalNumber0(_126971))], (618 ^ _108191) ^ [] : [-(_126532 = sdtasdt0(_126534, _126971))]]], (620 ^ _108191) ^ [_127230] : [-(_127230 = sdtsldt0(_126532, _126534)), aNaturalNumber0(_127230), _126532 = sdtasdt0(_126534, _127230)]]], (630 ^ _108191) ^ [_127582, _127584, _127586] : [aNaturalNumber0(_127586), aNaturalNumber0(_127584), aNaturalNumber0(_127582), -(doDivides0(_127586, _127582)), doDivides0(_127586, _127584), doDivides0(_127584, _127582)], (652 ^ _108191) ^ [_128182, _128184, _128186] : [aNaturalNumber0(_128186), aNaturalNumber0(_128184), aNaturalNumber0(_128182), -(doDivides0(_128186, sdtpldt0(_128184, _128182))), doDivides0(_128186, _128184), doDivides0(_128186, _128182)], (674 ^ _108191) ^ [_128788, _128790, _128792] : [aNaturalNumber0(_128792), aNaturalNumber0(_128790), aNaturalNumber0(_128788), -(doDivides0(_128792, _128788)), doDivides0(_128792, _128790), doDivides0(_128792, sdtpldt0(_128790, _128788))], (696 ^ _108191) ^ [_129380, _129382] : [aNaturalNumber0(_129382), aNaturalNumber0(_129380), -(sdtlseqdt0(_129382, _129380)), doDivides0(_129382, _129380), -(_129380 = sz00)], (714 ^ _108191) ^ [_129858, _129860] : [aNaturalNumber0(_129860), aNaturalNumber0(_129858), -(_129860 = sz00), doDivides0(_129860, _129858), 729 ^ _108191 : [(730 ^ _108191) ^ [_130268] : [aNaturalNumber0(_130268), -(sdtasdt0(_130268, sdtsldt0(_129858, _129860)) = sdtsldt0(sdtasdt0(_130268, _129858), _129860))]]], (736 ^ _108191) ^ [_130509] : [aNaturalNumber0(_130509), 739 ^ _108191 : [(762 ^ _108191) ^ [] : [-(isPrime0(_130509)), -(_130509 = sz00), -(_130509 = sz10), 772 ^ _108191 : [(773 ^ _108191) ^ [] : [-(aNaturalNumber0(771 ^ [_130509]))], (775 ^ _108191) ^ [] : [-(doDivides0(771 ^ [_130509], _130509))], (777 ^ _108191) ^ [] : [771 ^ [_130509] = sz10], (779 ^ _108191) ^ [] : [771 ^ [_130509] = _130509]]], (740 ^ _108191) ^ [] : [isPrime0(_130509), 743 ^ _108191 : [(744 ^ _108191) ^ [] : [_130509 = sz00], (746 ^ _108191) ^ [] : [_130509 = sz10], (748 ^ _108191) ^ [_130901] : [aNaturalNumber0(_130901), doDivides0(_130901, _130509), -(_130901 = sz10), -(_130901 = _130509)]]]]], (783 ^ _108191) ^ [_131853] : [795 ^ _108191 : [(796 ^ _108191) ^ [] : [-(aNaturalNumber0(794 ^ [_131853]))], (798 ^ _108191) ^ [] : [-(doDivides0(794 ^ [_131853], _131853))], (800 ^ _108191) ^ [] : [-(isPrime0(794 ^ [_131853]))]], aNaturalNumber0(_131853), -(_131853 = sz00), -(_131853 = sz10)], (802 ^ _108191) ^ [] : [-(aNaturalNumber0(xn))], (804 ^ _108191) ^ [] : [-(aNaturalNumber0(xm))], (806 ^ _108191) ^ [] : [-(aNaturalNumber0(xp))], (838 ^ _108191) ^ [] : [-(isPrime0(xp))], (840 ^ _108191) ^ [] : [-(doDivides0(xp, sdtasdt0(xn, xm)))], (842 ^ _108191) ^ [] : [-(sdtlseqdt0(xp, xn))], (844 ^ _108191) ^ [] : [-(xr = sdtmndt0(xn, xp))], (846 ^ _108191) ^ [] : [xr = xn], (848 ^ _108191) ^ [] : [-(sdtlseqdt0(xr, xn))], (808 ^ _108191) ^ [_132620, _132622, _132624] : [aNaturalNumber0(_132624), aNaturalNumber0(_132622), aNaturalNumber0(_132620), isPrime0(_132620), doDivides0(_132620, sdtasdt0(_132624, _132622)), iLess0(sdtpldt0(sdtpldt0(_132624, _132622), _132620), sdtpldt0(sdtpldt0(xn, xm), xp)), -(doDivides0(_132620, _132624)), -(doDivides0(_132620, _132622))]], input).
% 0.34/1.40 ncf('1',plain,[xn = sdtpldt0(xp, xr)],start(850 ^ 0)).
% 0.34/1.40 ncf('1.1',plain,[-(xn = sdtpldt0(xp, xr)), sdtpldt0(xp, xr) = xn],extension(4 ^ 1,bind([[_108442, _108444], [xn, sdtpldt0(xp, xr)]]))).
% 0.34/1.40 ncf('1.1.1',plain,[-(sdtpldt0(xp, xr) = xn), 363 : xr = sdtmndt0(xn, xp), 363 : aNaturalNumber0(xp), 363 : aNaturalNumber0(xn), 363 : sdtlseqdt0(xp, xn)],extension(351 ^ 2,bind([[_119322, _119324, _119669], [xn, xp, xr]]))).
% 0.34/1.40 ncf('1.1.1.1',plain,[-(xr = sdtmndt0(xn, xp))],extension(844 ^ 5)).
% 0.34/1.40 ncf('1.1.1.2',plain,[-(aNaturalNumber0(xp))],extension(806 ^ 3)).
% 0.34/1.40 ncf('1.1.1.3',plain,[-(aNaturalNumber0(xn))],extension(802 ^ 3)).
% 0.34/1.40 ncf('1.1.1.4',plain,[-(sdtlseqdt0(xp, xn))],extension(842 ^ 3)).
% 0.34/1.40 %-----------------------------------------------------
% 0.34/1.40 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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