TSTP Solution File: RNG087+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG087+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n008.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 11:49:47 EDT 2023
% Result : Theorem 223.06s 215.04s
% Output : Proof 223.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG087+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : nanocop.sh %s %d
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu May 18 20:22:54 EDT 2023
% 0.12/0.34 % CPUTime :
% 223.06/215.04
% 223.06/215.04 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 223.06/215.04 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 223.06/215.04 %-----------------------------------------------------
% 223.06/215.04 ncf(matrix, plain, [(509 ^ _94958) ^ [_95003, _95005] : [aElementOf0(_95005, xI), aElementOf0(_95003, xJ), xy = sdtpldt0(_95005, _95003)], !, (64 ^ _77690) ^ [_79759, _79761] : [_79761 = _79759, -(smndt0(_79761) = smndt0(_79759))], (222 ^ _77690) ^ [_84883, _84885, _84887] : [233 ^ _77690 : [(236 ^ _77690) ^ [] : [-(sdtasdt0(sdtpldt0(_84885, _84883), _84887) = sdtpldt0(sdtasdt0(_84885, _84887), sdtasdt0(_84883, _84887)))], (234 ^ _77690) ^ [] : [-(sdtasdt0(_84887, sdtpldt0(_84885, _84883)) = sdtpldt0(sdtasdt0(_84887, _84885), sdtasdt0(_84887, _84883)))]], aElement0(_84887), aElement0(_84885), aElement0(_84883)], (70 ^ _77690) ^ [_80005, _80007, _80009, _80011] : [-(sdtasasdt0(_80011, _80007) = sdtasasdt0(_80009, _80005)), _80011 = _80009, _80007 = _80005], (501 ^ _77690) ^ [] : [-(aElement0(xz))], (294 ^ _77690) ^ [_87090, _87092] : [aSet0(_87092), aSet0(_87090), -(_87092 = _87090), 306 ^ _77690 : [(309 ^ _77690) ^ [] : [aElementOf0(305 ^ [_87090, _87092], _87090)], (307 ^ _77690) ^ [] : [-(aElementOf0(305 ^ [_87090, _87092], _87092))]], 311 ^ _77690 : [(314 ^ _77690) ^ [] : [aElementOf0(310 ^ [_87090, _87092], _87092)], (312 ^ _77690) ^ [] : [-(aElementOf0(310 ^ [_87090, _87092], _87090))]]], (246 ^ _77690) ^ [_85683] : [aElement0(_85683), 249 ^ _77690 : [(252 ^ _77690) ^ [] : [-(sz00 = sdtasdt0(sz00, _85683))], (250 ^ _77690) ^ [] : [-(sdtasdt0(_85683, sz00) = sz00)]]], (182 ^ _77690) ^ [_83560] : [aElement0(_83560), 185 ^ _77690 : [(188 ^ _77690) ^ [] : [-(sz00 = sdtpldt0(smndt0(_83560), _83560))], (186 ^ _77690) ^ [] : [-(sdtpldt0(_83560, smndt0(_83560)) = sz00)]]], (470 ^ _77690) ^ [_93579] : [-(aIdeal0(_93579)), aSet0(_93579), 476 ^ _77690 : [(479 ^ _77690) ^ [] : [481 ^ _77690 : [(484 ^ _77690) ^ [] : [aElementOf0(sdtpldt0(475 ^ [_93579], 480 ^ [_93579]), _93579)], (482 ^ _77690) ^ [] : [-(aElementOf0(480 ^ [_93579], _93579))]], 486 ^ _77690 : [(489 ^ _77690) ^ [] : [aElementOf0(sdtasdt0(485 ^ [_93579], 475 ^ [_93579]), _93579)], (487 ^ _77690) ^ [] : [-(aElement0(485 ^ [_93579]))]]], (477 ^ _77690) ^ [] : [-(aElementOf0(475 ^ [_93579], _93579))]]], (174 ^ _77690) ^ [_83287] : [aElement0(_83287), 177 ^ _77690 : [(180 ^ _77690) ^ [] : [-(_83287 = sdtpldt0(sz00, _83287))], (178 ^ _77690) ^ [] : [-(sdtpldt0(_83287, sz00) = _83287)]]], (4 ^ _77690) ^ [_77921, _77923] : [_77923 = _77921, -(_77921 = _77923)], (30 ^ _77690) ^ [_78733, _78735] : [-(aIdeal0(_78733)), _78735 = _78733, aIdeal0(_78735)], (124 ^ _77690) ^ [_81758] : [aElement0(_81758), -(aElement0(smndt0(_81758)))], (391 ^ _77690) ^ [_90835, _90837] : [aSet0(_90837), aSet0(_90835), 398 ^ _77690 : [(399 ^ _77690) ^ [_91111] : [_91111 = sdtasasdt0(_90837, _90835), 402 ^ _77690 : [(405 ^ _77690) ^ [_91369] : [aElementOf0(_91369, _91111), 408 ^ _77690 : [(411 ^ _77690) ^ [] : [-(aElementOf0(_91369, _90835))], (409 ^ _77690) ^ [] : [-(aElementOf0(_91369, _90837))]]], (413 ^ _77690) ^ [_91628] : [-(aElementOf0(_91628, _91111)), aElementOf0(_91628, _90837), aElementOf0(_91628, _90835)], (403 ^ _77690) ^ [] : [-(aSet0(_91111))]]], (423 ^ _77690) ^ [_91914] : [-(_91914 = sdtasasdt0(_90837, _90835)), aSet0(_91914), 439 ^ _77690 : [(442 ^ _77690) ^ [] : [-(aElementOf0(428 ^ [_90835, _90837, _91914], _90835))], (444 ^ _77690) ^ [] : [aElementOf0(428 ^ [_90835, _90837, _91914], _91914)], (440 ^ _77690) ^ [] : [-(aElementOf0(428 ^ [_90835, _90837, _91914], _90837))]], 431 ^ _77690 : [(434 ^ _77690) ^ [] : [aElementOf0(428 ^ [_90835, _90837, _91914], _90837), aElementOf0(428 ^ [_90835, _90837, _91914], _90835)], (432 ^ _77690) ^ [] : [-(aElementOf0(428 ^ [_90835, _90837, _91914], _91914))]]]]], (499 ^ _77690) ^ [] : [-(aElementOf0(xy, sdtpldt1(xI, xJ)))], (497 ^ _77690) ^ [] : [-(aElementOf0(xx, sdtpldt1(xI, xJ)))], (110 ^ _77690) ^ [_81397] : [aElement0(_81397), true___, -(true___)], (318 ^ _77690) ^ [_87855, _87857] : [aSet0(_87857), aSet0(_87855), 325 ^ _77690 : [(326 ^ _77690) ^ [_88150] : [_88150 = sdtpldt1(_87857, _87855), 329 ^ _77690 : [(332 ^ _77690) ^ [_88427] : [aElementOf0(_88427, _88150), 337 ^ _77690 : [(340 ^ _77690) ^ [] : [-(aElementOf0(336 ^ [_87855, _87857, _88150, _88427], _87855))], (342 ^ _77690) ^ [] : [-(sdtpldt0(335 ^ [_87855, _87857, _88150, _88427], 336 ^ [_87855, _87857, _88150, _88427]) = _88427)], (338 ^ _77690) ^ [] : [-(aElementOf0(335 ^ [_87855, _87857, _88150, _88427], _87857))]]], (344 ^ _77690) ^ [_88987] : [-(aElementOf0(_88987, _88150)), 345 ^ _77690 : [(346 ^ _77690) ^ [_89117, _89119] : [aElementOf0(_89119, _87857), aElementOf0(_89117, _87855), sdtpldt0(_89119, _89117) = _88987]]], (330 ^ _77690) ^ [] : [-(aSet0(_88150))]]], (358 ^ _77690) ^ [_89485] : [-(_89485 = sdtpldt1(_87857, _87855)), aSet0(_89485), 380 ^ _77690 : [(381 ^ _77690) ^ [] : [-(aElementOf0(378 ^ [_87855, _87857, _89485], _87857))], (383 ^ _77690) ^ [] : [-(aElementOf0(379 ^ [_87855, _87857, _89485], _87855))], (387 ^ _77690) ^ [] : [aElementOf0(363 ^ [_87855, _87857, _89485], _89485)], (385 ^ _77690) ^ [] : [-(sdtpldt0(378 ^ [_87855, _87857, _89485], 379 ^ [_87855, _87857, _89485]) = 363 ^ [_87855, _87857, _89485])]], 366 ^ _77690 : [(369 ^ _77690) ^ [_89914, _89916] : [aElementOf0(_89916, _87857), aElementOf0(_89914, _87855), sdtpldt0(_89916, _89914) = 363 ^ [_87855, _87857, _89485]], (367 ^ _77690) ^ [] : [-(aElementOf0(363 ^ [_87855, _87857, _89485], _89485))]]]]], (495 ^ _77690) ^ [] : [-(aIdeal0(xJ))], (10 ^ _77690) ^ [_78125, _78127, _78129] : [-(_78129 = _78125), _78129 = _78127, _78127 = _78125], (40 ^ _77690) ^ [_79028, _79030] : [-(aElement0(_79028)), _79030 = _79028, aElement0(_79030)], (130 ^ _77690) ^ [_81962, _81964] : [-(aElement0(sdtpldt0(_81964, _81962))), aElement0(_81964), aElement0(_81962)], (284 ^ _77690) ^ [_86745] : [aSet0(_86745), 287 ^ _77690 : [(288 ^ _77690) ^ [_86875] : [aElementOf0(_86875, _86745), -(aElement0(_86875))]]], (503 ^ _77690) ^ [] : [-(aElementOf0(xk, xI))], (200 ^ _77690) ^ [_84176, _84178, _84180] : [-(sdtasdt0(sdtasdt0(_84180, _84178), _84176) = sdtasdt0(_84180, sdtasdt0(_84178, _84176))), aElement0(_84180), aElement0(_84178), aElement0(_84176)], (122 ^ _77690) ^ [] : [-(aElement0(sz10))], (100 ^ _77690) ^ [_81062, _81064, _81066, _81068] : [-(sdtpldt0(_81068, _81064) = sdtpldt0(_81066, _81062)), _81068 = _81066, _81064 = _81062], (150 ^ _77690) ^ [_82560, _82562] : [-(sdtpldt0(_82562, _82560) = sdtpldt0(_82560, _82562)), aElement0(_82562), aElement0(_82560)], (160 ^ _77690) ^ [_82881, _82883, _82885] : [-(sdtpldt0(sdtpldt0(_82885, _82883), _82881) = sdtpldt0(_82885, sdtpldt0(_82883, _82881))), aElement0(_82885), aElement0(_82883), aElement0(_82881)], (272 ^ _77690) ^ [] : [sz10 = sz00], (190 ^ _77690) ^ [_83855, _83857] : [-(sdtasdt0(_83857, _83855) = sdtasdt0(_83855, _83857)), aElement0(_83857), aElement0(_83855)], (90 ^ _77690) ^ [_80723, _80725, _80727, _80729] : [-(sdtpldt1(_80729, _80725) = sdtpldt1(_80727, _80723)), _80729 = _80727, _80725 = _80723], (80 ^ _77690) ^ [_80364, _80366, _80368, _80370] : [-(sdtasdt0(_80370, _80366) = sdtasdt0(_80368, _80364)), _80370 = _80368, _80366 = _80364], (254 ^ _77690) ^ [_85970, _85972] : [aElement0(_85972), aElement0(_85970), sdtasdt0(_85972, _85970) = sz00, -(_85972 = sz00), -(_85970 = sz00)], (448 ^ _77690) ^ [_92784] : [aIdeal0(_92784), 451 ^ _77690 : [(454 ^ _77690) ^ [_93016] : [aElementOf0(_93016, _92784), 457 ^ _77690 : [(464 ^ _77690) ^ [_93389] : [aElement0(_93389), -(aElementOf0(sdtasdt0(_93389, _93016), _92784))], (458 ^ _77690) ^ [_93197] : [aElementOf0(_93197, _92784), -(aElementOf0(sdtpldt0(_93016, _93197), _92784))]]], (452 ^ _77690) ^ [] : [-(aSet0(_92784))]]], (507 ^ _77690) ^ [] : [-(xx = sdtpldt0(xk, xl))], (2 ^ _77690) ^ [_77814] : [-(_77814 = _77814)], (274 ^ _77690) ^ [_86490] : [aSet0(_86490), true___, -(true___)], (120 ^ _77690) ^ [] : [-(aElement0(sz00))], (238 ^ _77690) ^ [_85402] : [aElement0(_85402), 241 ^ _77690 : [(244 ^ _77690) ^ [] : [-(smndt0(_85402) = sdtasdt0(_85402, smndt0(sz10)))], (242 ^ _77690) ^ [] : [-(sdtasdt0(smndt0(sz10), _85402) = smndt0(_85402))]]], (505 ^ _77690) ^ [] : [-(aElementOf0(xl, xJ))], (50 ^ _77690) ^ [_79331, _79333, _79335, _79337] : [-(aElementOf0(_79335, _79331)), aElementOf0(_79337, _79333), _79337 = _79335, _79333 = _79331], (214 ^ _77690) ^ [_84582] : [aElement0(_84582), 217 ^ _77690 : [(220 ^ _77690) ^ [] : [-(_84582 = sdtasdt0(sz10, _84582))], (218 ^ _77690) ^ [] : [-(sdtasdt0(_84582, sz10) = _84582)]]], (20 ^ _77690) ^ [_78438, _78440] : [-(aSet0(_78438)), _78440 = _78438, aSet0(_78440)], (140 ^ _77690) ^ [_82261, _82263] : [-(aElement0(sdtasdt0(_82263, _82261))), aElement0(_82263), aElement0(_82261)], (493 ^ _77690) ^ [] : [-(aIdeal0(xI))]], input).
% 223.06/215.04 ncf('1',plain,[aElementOf0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xy], xI), aElementOf0(336 ^ [xJ, xI, sdtpldt1(xI, xJ), xy], xJ), xy = sdtpldt0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xy], 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xy])],start(509 ^ 0,bind([[_95003, _95005], [336 ^ [xJ, xI, sdtpldt1(xI, xJ), xy], 335 ^ [xJ, xI, sdtpldt1(xI, xJ), xy]]]))).
% 223.06/215.04 ncf('1.1',plain,[-(aElementOf0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xy], xI)), 332 : aElementOf0(xy, sdtpldt1(xI, xJ)), 332 : sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), 326 : aSet0(xI), 326 : aSet0(xJ)],extension(318 ^ 1,bind([[_87855, _87857, _88150, _88427], [xJ, xI, sdtpldt1(xI, xJ), xy]]))).
% 223.06/215.04 ncf('1.1.1',plain,[-(aElementOf0(xy, sdtpldt1(xI, xJ)))],extension(499 ^ 6)).
% 223.06/215.04 ncf('1.1.2',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ)), sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ)],extension(4 ^ 4,bind([[_77921, _77923], [sdtpldt1(xI, xJ), sdtpldt1(xI, xJ)]]))).
% 223.06/215.04 ncf('1.1.2.1',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2 ^ 5,bind([[_77814], [sdtpldt1(xI, xJ)]]))).
% 223.06/215.04 ncf('1.1.3',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(448 ^ 2,bind([[_92784], [xI]]))).
% 223.06/215.04 ncf('1.1.3.1',plain,[-(aIdeal0(xI))],extension(493 ^ 3)).
% 223.06/215.04 ncf('1.1.4',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(448 ^ 2,bind([[_92784], [xJ]]))).
% 223.06/215.04 ncf('1.1.4.1',plain,[-(aIdeal0(xJ))],extension(495 ^ 3)).
% 223.06/215.04 ncf('1.2',plain,[-(aElementOf0(336 ^ [xJ, xI, sdtpldt1(xI, xJ), xy], xJ)), 332 : aElementOf0(xy, sdtpldt1(xI, xJ)), 332 : sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), 326 : aSet0(xI), 326 : aSet0(xJ)],extension(318 ^ 1,bind([[_87855, _87857, _88150, _88427], [xJ, xI, sdtpldt1(xI, xJ), xy]]))).
% 223.06/215.04 ncf('1.2.1',plain,[-(aElementOf0(xy, sdtpldt1(xI, xJ)))],extension(499 ^ 6)).
% 223.06/215.04 ncf('1.2.2',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ)), sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ)],extension(4 ^ 4,bind([[_77921, _77923], [sdtpldt1(xI, xJ), sdtpldt1(xI, xJ)]]))).
% 223.06/215.04 ncf('1.2.2.1',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2 ^ 5,bind([[_77814], [sdtpldt1(xI, xJ)]]))).
% 223.06/215.04 ncf('1.2.3',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(448 ^ 2,bind([[_92784], [xI]]))).
% 223.06/215.04 ncf('1.2.3.1',plain,[-(aIdeal0(xI))],extension(493 ^ 3)).
% 223.06/215.04 ncf('1.2.4',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(448 ^ 2,bind([[_92784], [xJ]]))).
% 223.06/215.04 ncf('1.2.4.1',plain,[-(aIdeal0(xJ))],extension(495 ^ 3)).
% 223.06/215.04 ncf('1.3',plain,[-(xy = sdtpldt0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xy], 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xy])), sdtpldt0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xy], 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xy]) = xy],extension(4 ^ 1,bind([[_77921, _77923], [xy, sdtpldt0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xy], 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xy])]]))).
% 223.06/215.04 ncf('1.3.1',plain,[-(sdtpldt0(335 ^ [xJ, xI, sdtpldt1(xI, xJ), xy], 336 ^ [xJ, xI, sdtpldt1(xI, xJ), xy]) = xy), 332 : aElementOf0(xy, sdtpldt1(xI, xJ)), 332 : sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), 326 : aSet0(xI), 326 : aSet0(xJ)],extension(318 ^ 2,bind([[_87855, _87857, _88150, _88427], [xJ, xI, sdtpldt1(xI, xJ), xy]]))).
% 223.06/215.04 ncf('1.3.1.1',plain,[-(aElementOf0(xy, sdtpldt1(xI, xJ)))],extension(499 ^ 7)).
% 223.06/215.04 ncf('1.3.1.2',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2 ^ 5,bind([[_77814], [sdtpldt1(xI, xJ)]]))).
% 223.06/215.04 ncf('1.3.1.3',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(448 ^ 3,bind([[_92784], [xI]]))).
% 223.06/215.04 ncf('1.3.1.3.1',plain,[-(aIdeal0(xI))],extension(493 ^ 4)).
% 223.06/215.04 ncf('1.3.1.4',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(448 ^ 3,bind([[_92784], [xJ]]))).
% 223.06/215.04 ncf('1.3.1.4.1',plain,[-(aIdeal0(xJ))],extension(495 ^ 4)).
% 223.06/215.04 %-----------------------------------------------------
% 223.06/215.04 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------