TSTP Solution File: RNG095+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG095+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n003.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 11:49:49 EDT 2023
% Result : Theorem 43.28s 42.77s
% Output : Proof 43.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : RNG095+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 18 20:26:30 EDT 2023
% 0.13/0.34 % CPUTime :
% 43.28/42.77
% 43.28/42.77 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 43.28/42.77 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.28/42.77 %-----------------------------------------------------
% 43.28/42.77 ncf(matrix, plain, [(613 ^ _105686) ^ [_105731, _105733] : [aElementOf0(_105733, xI), aElementOf0(_105731, xJ), sdtpldt0(_105733, _105731) = sz10], !, (140 ^ _84898) ^ [] : [-(aElement0(sz10))], (240 ^ _84898) ^ [_92702, _92704, _92706] : [251 ^ _84898 : [(254 ^ _84898) ^ [] : [-(sdtasdt0(sdtpldt0(_92704, _92702), _92706) = sdtpldt0(sdtasdt0(_92704, _92706), sdtasdt0(_92702, _92706)))], (252 ^ _84898) ^ [] : [-(sdtasdt0(_92706, sdtpldt0(_92704, _92702)) = sdtpldt0(sdtasdt0(_92706, _92704), sdtasdt0(_92706, _92702)))]], aElement0(_92706), aElement0(_92704), aElement0(_92702)], (218 ^ _84898) ^ [_91995, _91997, _91999] : [-(sdtasdt0(sdtasdt0(_91999, _91997), _91995) = sdtasdt0(_91999, sdtasdt0(_91997, _91995))), aElement0(_91999), aElement0(_91997), aElement0(_91995)], (108 ^ _84898) ^ [_88542, _88544, _88546, _88548] : [-(sdtpldt1(_88548, _88544) = sdtpldt1(_88546, _88542)), _88548 = _88546, _88544 = _88542], (557 ^ _84898) ^ [_103587] : [aElementOf0(_103587, xI), 560 ^ _84898 : [(567 ^ _84898) ^ [_103946] : [aElement0(_103946), -(aElementOf0(sdtasdt0(_103946, _103587), xI))], (561 ^ _84898) ^ [_103762] : [aElementOf0(_103762, xI), -(aElementOf0(sdtpldt0(_103587, _103762), xI))]]], (128 ^ _84898) ^ [_89216] : [aElement0(_89216), true___, -(true___)], (178 ^ _84898) ^ [_90700, _90702, _90704] : [-(sdtpldt0(sdtpldt0(_90704, _90702), _90700) = sdtpldt0(_90704, sdtpldt0(_90702, _90700))), aElement0(_90704), aElement0(_90702), aElement0(_90700)], (573 ^ _84898) ^ [] : [-(aIdeal0(xI))], (577 ^ _84898) ^ [_104261] : [aElementOf0(_104261, xJ), 580 ^ _84898 : [(587 ^ _84898) ^ [_104620] : [aElement0(_104620), -(aElementOf0(sdtasdt0(_104620, _104261), xJ))], (581 ^ _84898) ^ [_104436] : [aElementOf0(_104436, xJ), -(aElementOf0(sdtpldt0(_104261, _104436), xJ))]]], (232 ^ _84898) ^ [_92401] : [aElement0(_92401), 235 ^ _84898 : [(238 ^ _84898) ^ [] : [-(_92401 = sdtasdt0(sz10, _92401))], (236 ^ _84898) ^ [] : [-(sdtasdt0(_92401, sz10) = _92401)]]], (4 ^ _84898) ^ [_85129, _85131] : [_85131 = _85129, -(_85129 = _85131)], (38 ^ _84898) ^ [_86255, _86257] : [-(aSet0(_86255)), _86257 = _86255, aSet0(_86257)], (68 ^ _84898) ^ [_87148, _87150, _87152, _87154] : [-(aElementOf0(_87152, _87148)), aElementOf0(_87154, _87150), _87154 = _87152, _87150 = _87148], (511 ^ _84898) ^ [_102238, _102240] : [-(aIdeal0(sdtpldt1(_102240, _102238))), aIdeal0(_102240), aIdeal0(_102238)], (555 ^ _84898) ^ [] : [-(aSet0(xI))], (208 ^ _84898) ^ [_91674, _91676] : [-(sdtasdt0(_91676, _91674) = sdtasdt0(_91674, _91676)), aElement0(_91676), aElement0(_91674)], (158 ^ _84898) ^ [_90080, _90082] : [-(aElement0(sdtasdt0(_90082, _90080))), aElement0(_90082), aElement0(_90080)], (611 ^ _84898) ^ [] : [-(aElement0(xy))], (302 ^ _84898) ^ [_94564] : [aSet0(_94564), 305 ^ _84898 : [(306 ^ _84898) ^ [_94694] : [aElementOf0(_94694, _94564), -(aElement0(_94694))]]], (290 ^ _84898) ^ [] : [sz10 = sz00], (82 ^ _84898) ^ [_87606, _87608, _87610, _87612] : [-(sdtasasdt0(_87612, _87608) = sdtasasdt0(_87610, _87606)), _87612 = _87610, _87608 = _87606], (593 ^ _84898) ^ [] : [-(aIdeal0(xJ))], (58 ^ _84898) ^ [_86845, _86847] : [-(aElement0(_86845)), _86847 = _86845, aElement0(_86847)], (10 ^ _84898) ^ [_85333, _85335, _85337] : [-(_85337 = _85333), _85337 = _85335, _85335 = _85333], (98 ^ _84898) ^ [_88183, _88185, _88187, _88189] : [-(sdtasdt0(_88189, _88185) = sdtasdt0(_88187, _88183)), _88189 = _88187, _88185 = _88183], (521 ^ _84898) ^ [_102537, _102539] : [-(aIdeal0(sdtasasdt0(_102539, _102537))), aIdeal0(_102539), aIdeal0(_102537)], (575 ^ _84898) ^ [] : [-(aSet0(xJ))], (142 ^ _84898) ^ [_89577] : [aElement0(_89577), -(aElement0(smndt0(_89577)))], (200 ^ _84898) ^ [_91379] : [aElement0(_91379), 203 ^ _84898 : [(206 ^ _84898) ^ [] : [-(sz00 = sdtpldt0(smndt0(_91379), _91379))], (204 ^ _84898) ^ [] : [-(sdtpldt0(_91379, smndt0(_91379)) = sz00)]]], (488 ^ _84898) ^ [_101398] : [-(aIdeal0(_101398)), aSet0(_101398), 494 ^ _84898 : [(497 ^ _84898) ^ [] : [499 ^ _84898 : [(502 ^ _84898) ^ [] : [aElementOf0(sdtpldt0(493 ^ [_101398], 498 ^ [_101398]), _101398)], (500 ^ _84898) ^ [] : [-(aElementOf0(498 ^ [_101398], _101398))]], 504 ^ _84898 : [(507 ^ _84898) ^ [] : [aElementOf0(sdtasdt0(503 ^ [_101398], 493 ^ [_101398]), _101398)], (505 ^ _84898) ^ [] : [-(aElement0(503 ^ [_101398]))]]], (495 ^ _84898) ^ [] : [-(aElementOf0(493 ^ [_101398], _101398))]]], (118 ^ _84898) ^ [_88881, _88883, _88885, _88887] : [-(sdtpldt0(_88887, _88883) = sdtpldt0(_88885, _88881)), _88887 = _88885, _88883 = _88881], (609 ^ _84898) ^ [] : [-(aElement0(xx))], (272 ^ _84898) ^ [_93789, _93791] : [aElement0(_93791), aElement0(_93789), sdtasdt0(_93791, _93789) = sz00, -(_93791 = sz00), -(_93789 = sz00)], (48 ^ _84898) ^ [_86550, _86552] : [-(aIdeal0(_86550)), _86552 = _86550, aIdeal0(_86552)], (92 ^ _84898) ^ [_87937, _87939] : [_87939 = _87937, -(smndt0(_87939) = smndt0(_87937))], (466 ^ _84898) ^ [_100603] : [aIdeal0(_100603), 469 ^ _84898 : [(472 ^ _84898) ^ [_100835] : [aElementOf0(_100835, _100603), 475 ^ _84898 : [(482 ^ _84898) ^ [_101208] : [aElement0(_101208), -(aElementOf0(sdtasdt0(_101208, _100835), _100603))], (476 ^ _84898) ^ [_101016] : [aElementOf0(_101016, _100603), -(aElementOf0(sdtpldt0(_100835, _101016), _100603))]]], (470 ^ _84898) ^ [] : [-(aSet0(_100603))]]], (168 ^ _84898) ^ [_90379, _90381] : [-(sdtpldt0(_90381, _90379) = sdtpldt0(_90379, _90381)), aElement0(_90381), aElement0(_90379)], (256 ^ _84898) ^ [_93221] : [aElement0(_93221), 259 ^ _84898 : [(262 ^ _84898) ^ [] : [-(smndt0(_93221) = sdtasdt0(_93221, smndt0(sz10)))], (260 ^ _84898) ^ [] : [-(sdtasdt0(smndt0(sz10), _93221) = smndt0(_93221))]]], (531 ^ _84898) ^ [_102850, _102852, _102854] : [aElement0(_102854), aElement0(_102852), aIdeal0(_102850), 542 ^ _84898 : [(549 ^ _84898) ^ [] : [aElementOf0(sdtpldt0(_102854, smndt0(_102852)), _102850), -(sdteqdtlpzmzozddtrp0(_102854, _102852, _102850))], (543 ^ _84898) ^ [] : [sdteqdtlpzmzozddtrp0(_102854, _102852, _102850), -(aElementOf0(sdtpldt0(_102854, smndt0(_102852)), _102850))]]], (264 ^ _84898) ^ [_93502] : [aElement0(_93502), 267 ^ _84898 : [(270 ^ _84898) ^ [] : [-(sz00 = sdtasdt0(sz00, _93502))], (268 ^ _84898) ^ [] : [-(sdtasdt0(_93502, sz00) = sz00)]]], (192 ^ _84898) ^ [_91106] : [aElement0(_91106), 195 ^ _84898 : [(198 ^ _84898) ^ [] : [-(_91106 = sdtpldt0(sz00, _91106))], (196 ^ _84898) ^ [] : [-(sdtpldt0(_91106, sz00) = _91106)]]], (148 ^ _84898) ^ [_89781, _89783] : [-(aElement0(sdtpldt0(_89783, _89781))), aElement0(_89783), aElement0(_89781)], (292 ^ _84898) ^ [_94309] : [aSet0(_94309), true___, -(true___)], (409 ^ _84898) ^ [_98654, _98656] : [aSet0(_98656), aSet0(_98654), 416 ^ _84898 : [(417 ^ _84898) ^ [_98930] : [_98930 = sdtasasdt0(_98656, _98654), 420 ^ _84898 : [(431 ^ _84898) ^ [_99447] : [-(aElementOf0(_99447, _98930)), aElementOf0(_99447, _98656), aElementOf0(_99447, _98654)], (423 ^ _84898) ^ [_99188] : [aElementOf0(_99188, _98930), 426 ^ _84898 : [(429 ^ _84898) ^ [] : [-(aElementOf0(_99188, _98654))], (427 ^ _84898) ^ [] : [-(aElementOf0(_99188, _98656))]]], (421 ^ _84898) ^ [] : [-(aSet0(_98930))]]], (441 ^ _84898) ^ [_99733] : [-(_99733 = sdtasasdt0(_98656, _98654)), aSet0(_99733), 457 ^ _84898 : [(462 ^ _84898) ^ [] : [aElementOf0(446 ^ [_98654, _98656, _99733], _99733)], (460 ^ _84898) ^ [] : [-(aElementOf0(446 ^ [_98654, _98656, _99733], _98654))], (458 ^ _84898) ^ [] : [-(aElementOf0(446 ^ [_98654, _98656, _99733], _98656))]], 449 ^ _84898 : [(452 ^ _84898) ^ [] : [aElementOf0(446 ^ [_98654, _98656, _99733], _98656), aElementOf0(446 ^ [_98654, _98656, _99733], _98654)], (450 ^ _84898) ^ [] : [-(aElementOf0(446 ^ [_98654, _98656, _99733], _99733))]]]]], (336 ^ _84898) ^ [_95674, _95676] : [aSet0(_95676), aSet0(_95674), 343 ^ _84898 : [(344 ^ _84898) ^ [_95969] : [_95969 = sdtpldt1(_95676, _95674), 347 ^ _84898 : [(362 ^ _84898) ^ [_96806] : [-(aElementOf0(_96806, _95969)), 363 ^ _84898 : [(364 ^ _84898) ^ [_96936, _96938] : [aElementOf0(_96938, _95676), aElementOf0(_96936, _95674), sdtpldt0(_96938, _96936) = _96806]]], (350 ^ _84898) ^ [_96246] : [aElementOf0(_96246, _95969), 355 ^ _84898 : [(360 ^ _84898) ^ [] : [-(sdtpldt0(353 ^ [_95674, _95676, _95969, _96246], 354 ^ [_95674, _95676, _95969, _96246]) = _96246)], (358 ^ _84898) ^ [] : [-(aElementOf0(354 ^ [_95674, _95676, _95969, _96246], _95674))], (356 ^ _84898) ^ [] : [-(aElementOf0(353 ^ [_95674, _95676, _95969, _96246], _95676))]]], (348 ^ _84898) ^ [] : [-(aSet0(_95969))]]], (376 ^ _84898) ^ [_97304] : [-(_97304 = sdtpldt1(_95676, _95674)), aSet0(_97304), 398 ^ _84898 : [(401 ^ _84898) ^ [] : [-(aElementOf0(397 ^ [_95674, _95676, _97304], _95674))], (403 ^ _84898) ^ [] : [-(sdtpldt0(396 ^ [_95674, _95676, _97304], 397 ^ [_95674, _95676, _97304]) = 381 ^ [_95674, _95676, _97304])], (405 ^ _84898) ^ [] : [aElementOf0(381 ^ [_95674, _95676, _97304], _97304)], (399 ^ _84898) ^ [] : [-(aElementOf0(396 ^ [_95674, _95676, _97304], _95676))]], 384 ^ _84898 : [(387 ^ _84898) ^ [_97733, _97735] : [aElementOf0(_97735, _95676), aElementOf0(_97733, _95674), sdtpldt0(_97735, _97733) = 381 ^ [_95674, _95676, _97304]], (385 ^ _84898) ^ [] : [-(aElementOf0(381 ^ [_95674, _95676, _97304], _97304))]]]]], (20 ^ _84898) ^ [_85702, _85704, _85706, _85708, _85710, _85712] : [-(sdteqdtlpzmzozddtrp0(_85710, _85706, _85702)), sdteqdtlpzmzozddtrp0(_85712, _85708, _85704), _85712 = _85710, _85708 = _85706, _85704 = _85702], (138 ^ _84898) ^ [] : [-(aElement0(sz00))], (312 ^ _84898) ^ [_94909, _94911] : [aSet0(_94911), aSet0(_94909), -(_94911 = _94909), 324 ^ _84898 : [(327 ^ _84898) ^ [] : [aElementOf0(323 ^ [_94909, _94911], _94909)], (325 ^ _84898) ^ [] : [-(aElementOf0(323 ^ [_94909, _94911], _94911))]], 329 ^ _84898 : [(332 ^ _84898) ^ [] : [aElementOf0(328 ^ [_94909, _94911], _94911)], (330 ^ _84898) ^ [] : [-(aElementOf0(328 ^ [_94909, _94911], _94909))]]], (595 ^ _84898) ^ [_104872] : [aElement0(_104872), 600 ^ _84898 : [(603 ^ _84898) ^ [] : [-(aElementOf0(599 ^ [_104872], xJ))], (605 ^ _84898) ^ [] : [-(sdtpldt0(598 ^ [_104872], 599 ^ [_104872]) = _104872)], (607 ^ _84898) ^ [] : [-(aElementOf0(_104872, sdtpldt1(xI, xJ)))], (601 ^ _84898) ^ [] : [-(aElementOf0(598 ^ [_104872], xI))]]], (2 ^ _84898) ^ [_85022] : [-(_85022 = _85022)]], input).
% 43.28/42.77 ncf('1',plain,[aElementOf0(598 ^ [sz10], xI), aElementOf0(599 ^ [sz10], xJ), sdtpldt0(598 ^ [sz10], 599 ^ [sz10]) = sz10],start(613 ^ 0,bind([[_105731, _105733], [599 ^ [sz10], 598 ^ [sz10]]]))).
% 43.28/42.77 ncf('1.1',plain,[-(aElementOf0(598 ^ [sz10], xI)), aElement0(sz10)],extension(595 ^ 1,bind([[_104872], [sz10]]))).
% 43.28/42.77 ncf('1.1.1',plain,[-(aElement0(sz10))],extension(140 ^ 2)).
% 43.28/42.77 ncf('1.2',plain,[-(aElementOf0(599 ^ [sz10], xJ)), aElement0(sz10)],extension(595 ^ 1,bind([[_104872], [sz10]]))).
% 43.28/42.77 ncf('1.2.1',plain,[-(aElement0(sz10))],extension(140 ^ 2)).
% 43.28/42.77 ncf('1.3',plain,[-(sdtpldt0(598 ^ [sz10], 599 ^ [sz10]) = sz10), aElement0(sz10)],extension(595 ^ 1,bind([[_104872], [sz10]]))).
% 43.28/42.77 ncf('1.3.1',plain,[-(aElement0(sz10))],extension(140 ^ 2)).
% 43.28/42.77 %-----------------------------------------------------
% 43.28/42.77 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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