TSTP Solution File: RNG087+2 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : RNG087+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n016.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 101.37s 98.57s
% Output : Proof 101.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : RNG087+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.11 % Command : nanocop.sh %s %d
% 0.11/0.32 % Computer : n016.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 18 20:53:41 EDT 2023
% 0.11/0.32 % CPUTime :
% 101.37/98.57
% 101.37/98.57 /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 101.37/98.57 Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 101.37/98.57 %-----------------------------------------------------
% 101.37/98.57 ncf(matrix, plain, [(561 ^ _73207) ^ [_92355, _92357] : [aElementOf0(_92357, xI), aElementOf0(_92355, xJ), xy = sdtpldt0(_92357, _92355)], (64 ^ _73207) ^ [_75296, _75298] : [_75298 = _75296, -(smndt0(_75298) = smndt0(_75296))], (70 ^ _73207) ^ [_75542, _75544, _75546, _75548] : [-(sdtasasdt0(_75548, _75544) = sdtasasdt0(_75546, _75542)), _75548 = _75546, _75544 = _75542], (80 ^ _73207) ^ [_75901, _75903, _75905, _75907] : [-(sdtasdt0(_75907, _75903) = sdtasdt0(_75905, _75901)), _75907 = _75905, _75903 = _75901], (90 ^ _73207) ^ [_76260, _76262, _76264, _76266] : [-(sdtpldt1(_76266, _76262) = sdtpldt1(_76264, _76260)), _76266 = _76264, _76262 = _76260], (100 ^ _73207) ^ [_76599, _76601, _76603, _76605] : [-(sdtpldt0(_76605, _76601) = sdtpldt0(_76603, _76599)), _76605 = _76603, _76601 = _76599], (2 ^ _73207) ^ [_73351] : [-(_73351 = _73351)], (4 ^ _73207) ^ [_73458, _73460] : [_73460 = _73458, -(_73458 = _73460)], (10 ^ _73207) ^ [_73662, _73664, _73666] : [-(_73666 = _73662), _73666 = _73664, _73664 = _73662], (20 ^ _73207) ^ [_73975, _73977] : [-(aSet0(_73975)), _73977 = _73975, aSet0(_73977)], (30 ^ _73207) ^ [_74270, _74272] : [-(aIdeal0(_74270)), _74272 = _74270, aIdeal0(_74272)], (40 ^ _73207) ^ [_74565, _74567] : [-(aElement0(_74565)), _74567 = _74565, aElement0(_74567)], (50 ^ _73207) ^ [_74868, _74870, _74872, _74874] : [-(aElementOf0(_74872, _74868)), aElementOf0(_74874, _74870), _74874 = _74872, _74870 = _74868], (110 ^ _73207) ^ [_76934] : [aElement0(_76934), true___, -(true___)], (120 ^ _73207) ^ [] : [-(aElement0(sz00))], (122 ^ _73207) ^ [] : [-(aElement0(sz10))], (124 ^ _73207) ^ [_77295] : [aElement0(_77295), -(aElement0(smndt0(_77295)))], (130 ^ _73207) ^ [_77499, _77501] : [-(aElement0(sdtpldt0(_77501, _77499))), aElement0(_77501), aElement0(_77499)], (140 ^ _73207) ^ [_77798, _77800] : [-(aElement0(sdtasdt0(_77800, _77798))), aElement0(_77800), aElement0(_77798)], (150 ^ _73207) ^ [_78097, _78099] : [-(sdtpldt0(_78099, _78097) = sdtpldt0(_78097, _78099)), aElement0(_78099), aElement0(_78097)], (160 ^ _73207) ^ [_78418, _78420, _78422] : [-(sdtpldt0(sdtpldt0(_78422, _78420), _78418) = sdtpldt0(_78422, sdtpldt0(_78420, _78418))), aElement0(_78422), aElement0(_78420), aElement0(_78418)], (174 ^ _73207) ^ [_78824] : [aElement0(_78824), 177 ^ _73207 : [(178 ^ _73207) ^ [] : [-(sdtpldt0(_78824, sz00) = _78824)], (180 ^ _73207) ^ [] : [-(_78824 = sdtpldt0(sz00, _78824))]]], (182 ^ _73207) ^ [_79097] : [aElement0(_79097), 185 ^ _73207 : [(186 ^ _73207) ^ [] : [-(sdtpldt0(_79097, smndt0(_79097)) = sz00)], (188 ^ _73207) ^ [] : [-(sz00 = sdtpldt0(smndt0(_79097), _79097))]]], (190 ^ _73207) ^ [_79392, _79394] : [-(sdtasdt0(_79394, _79392) = sdtasdt0(_79392, _79394)), aElement0(_79394), aElement0(_79392)], (200 ^ _73207) ^ [_79713, _79715, _79717] : [-(sdtasdt0(sdtasdt0(_79717, _79715), _79713) = sdtasdt0(_79717, sdtasdt0(_79715, _79713))), aElement0(_79717), aElement0(_79715), aElement0(_79713)], (214 ^ _73207) ^ [_80119] : [aElement0(_80119), 217 ^ _73207 : [(218 ^ _73207) ^ [] : [-(sdtasdt0(_80119, sz10) = _80119)], (220 ^ _73207) ^ [] : [-(_80119 = sdtasdt0(sz10, _80119))]]], (222 ^ _73207) ^ [_80420, _80422, _80424] : [233 ^ _73207 : [(234 ^ _73207) ^ [] : [-(sdtasdt0(_80424, sdtpldt0(_80422, _80420)) = sdtpldt0(sdtasdt0(_80424, _80422), sdtasdt0(_80424, _80420)))], (236 ^ _73207) ^ [] : [-(sdtasdt0(sdtpldt0(_80422, _80420), _80424) = sdtpldt0(sdtasdt0(_80422, _80424), sdtasdt0(_80420, _80424)))]], aElement0(_80424), aElement0(_80422), aElement0(_80420)], (238 ^ _73207) ^ [_80939] : [aElement0(_80939), 241 ^ _73207 : [(242 ^ _73207) ^ [] : [-(sdtasdt0(smndt0(sz10), _80939) = smndt0(_80939))], (244 ^ _73207) ^ [] : [-(smndt0(_80939) = sdtasdt0(_80939, smndt0(sz10)))]]], (246 ^ _73207) ^ [_81220] : [aElement0(_81220), 249 ^ _73207 : [(250 ^ _73207) ^ [] : [-(sdtasdt0(_81220, sz00) = sz00)], (252 ^ _73207) ^ [] : [-(sz00 = sdtasdt0(sz00, _81220))]]], (254 ^ _73207) ^ [_81507, _81509] : [aElement0(_81509), aElement0(_81507), sdtasdt0(_81509, _81507) = sz00, -(_81509 = sz00), -(_81507 = sz00)], (272 ^ _73207) ^ [] : [sz10 = sz00], (274 ^ _73207) ^ [_82027] : [aSet0(_82027), true___, -(true___)], (284 ^ _73207) ^ [_82282] : [aSet0(_82282), 287 ^ _73207 : [(288 ^ _73207) ^ [_82412] : [aElementOf0(_82412, _82282), -(aElement0(_82412))]]], (294 ^ _73207) ^ [_82627, _82629] : [aSet0(_82629), aSet0(_82627), -(_82629 = _82627), 306 ^ _73207 : [(307 ^ _73207) ^ [] : [-(aElementOf0(305 ^ [_82627, _82629], _82629))], (309 ^ _73207) ^ [] : [aElementOf0(305 ^ [_82627, _82629], _82627)]], 311 ^ _73207 : [(312 ^ _73207) ^ [] : [-(aElementOf0(310 ^ [_82627, _82629], _82627))], (314 ^ _73207) ^ [] : [aElementOf0(310 ^ [_82627, _82629], _82629)]]], (318 ^ _73207) ^ [_83392, _83394] : [aSet0(_83394), aSet0(_83392), 325 ^ _73207 : [(358 ^ _73207) ^ [_85022] : [-(_85022 = sdtpldt1(_83394, _83392)), aSet0(_85022), 380 ^ _73207 : [(381 ^ _73207) ^ [] : [-(aElementOf0(378 ^ [_83392, _83394, _85022], _83394))], (383 ^ _73207) ^ [] : [-(aElementOf0(379 ^ [_83392, _83394, _85022], _83392))], (385 ^ _73207) ^ [] : [-(sdtpldt0(378 ^ [_83392, _83394, _85022], 379 ^ [_83392, _83394, _85022]) = 363 ^ [_83392, _83394, _85022])], (387 ^ _73207) ^ [] : [aElementOf0(363 ^ [_83392, _83394, _85022], _85022)]], 366 ^ _73207 : [(367 ^ _73207) ^ [] : [-(aElementOf0(363 ^ [_83392, _83394, _85022], _85022))], (369 ^ _73207) ^ [_85451, _85453] : [aElementOf0(_85453, _83394), aElementOf0(_85451, _83392), sdtpldt0(_85453, _85451) = 363 ^ [_83392, _83394, _85022]]]], (326 ^ _73207) ^ [_83687] : [_83687 = sdtpldt1(_83394, _83392), 329 ^ _73207 : [(330 ^ _73207) ^ [] : [-(aSet0(_83687))], (332 ^ _73207) ^ [_83964] : [aElementOf0(_83964, _83687), 337 ^ _73207 : [(338 ^ _73207) ^ [] : [-(aElementOf0(335 ^ [_83392, _83394, _83687, _83964], _83394))], (340 ^ _73207) ^ [] : [-(aElementOf0(336 ^ [_83392, _83394, _83687, _83964], _83392))], (342 ^ _73207) ^ [] : [-(sdtpldt0(335 ^ [_83392, _83394, _83687, _83964], 336 ^ [_83392, _83394, _83687, _83964]) = _83964)]]], (344 ^ _73207) ^ [_84524] : [-(aElementOf0(_84524, _83687)), 345 ^ _73207 : [(346 ^ _73207) ^ [_84654, _84656] : [aElementOf0(_84656, _83394), aElementOf0(_84654, _83392), sdtpldt0(_84656, _84654) = _84524]]]]]]], (391 ^ _73207) ^ [_86372, _86374] : [aSet0(_86374), aSet0(_86372), 398 ^ _73207 : [(423 ^ _73207) ^ [_87451] : [-(_87451 = sdtasasdt0(_86374, _86372)), aSet0(_87451), 439 ^ _73207 : [(440 ^ _73207) ^ [] : [-(aElementOf0(428 ^ [_86372, _86374, _87451], _86374))], (442 ^ _73207) ^ [] : [-(aElementOf0(428 ^ [_86372, _86374, _87451], _86372))], (444 ^ _73207) ^ [] : [aElementOf0(428 ^ [_86372, _86374, _87451], _87451)]], 431 ^ _73207 : [(432 ^ _73207) ^ [] : [-(aElementOf0(428 ^ [_86372, _86374, _87451], _87451))], (434 ^ _73207) ^ [] : [aElementOf0(428 ^ [_86372, _86374, _87451], _86374), aElementOf0(428 ^ [_86372, _86374, _87451], _86372)]]], (399 ^ _73207) ^ [_86648] : [_86648 = sdtasasdt0(_86374, _86372), 402 ^ _73207 : [(403 ^ _73207) ^ [] : [-(aSet0(_86648))], (405 ^ _73207) ^ [_86906] : [aElementOf0(_86906, _86648), 408 ^ _73207 : [(409 ^ _73207) ^ [] : [-(aElementOf0(_86906, _86374))], (411 ^ _73207) ^ [] : [-(aElementOf0(_86906, _86372))]]], (413 ^ _73207) ^ [_87165] : [-(aElementOf0(_87165, _86648)), aElementOf0(_87165, _86374), aElementOf0(_87165, _86372)]]]]], (470 ^ _73207) ^ [_89116] : [-(aIdeal0(_89116)), aSet0(_89116), 476 ^ _73207 : [(477 ^ _73207) ^ [] : [-(aElementOf0(475 ^ [_89116], _89116))], (479 ^ _73207) ^ [] : [481 ^ _73207 : [(482 ^ _73207) ^ [] : [-(aElementOf0(480 ^ [_89116], _89116))], (484 ^ _73207) ^ [] : [aElementOf0(sdtpldt0(475 ^ [_89116], 480 ^ [_89116]), _89116)]], 486 ^ _73207 : [(487 ^ _73207) ^ [] : [-(aElement0(485 ^ [_89116]))], (489 ^ _73207) ^ [] : [aElementOf0(sdtasdt0(485 ^ [_89116], 475 ^ [_89116]), _89116)]]]]], (448 ^ _73207) ^ [_88321] : [aIdeal0(_88321), 451 ^ _73207 : [(452 ^ _73207) ^ [] : [-(aSet0(_88321))], (454 ^ _73207) ^ [_88553] : [aElementOf0(_88553, _88321), 457 ^ _73207 : [(458 ^ _73207) ^ [_88734] : [aElementOf0(_88734, _88321), -(aElementOf0(sdtpldt0(_88553, _88734), _88321))], (464 ^ _73207) ^ [_88926] : [aElement0(_88926), -(aElementOf0(sdtasdt0(_88926, _88553), _88321))]]]]], (535 ^ _73207) ^ [] : [-(aElementOf0(532 ^ [], xI))], (537 ^ _73207) ^ [] : [-(aElementOf0(533 ^ [], xJ))], (539 ^ _73207) ^ [] : [-(sdtpldt0(532 ^ [], 533 ^ []) = xx)], (541 ^ _73207) ^ [] : [-(aElementOf0(xx, sdtpldt1(xI, xJ)))], (545 ^ _73207) ^ [] : [-(aElementOf0(542 ^ [], xI))], (547 ^ _73207) ^ [] : [-(aElementOf0(543 ^ [], xJ))], (549 ^ _73207) ^ [] : [-(sdtpldt0(542 ^ [], 543 ^ []) = xy)], (551 ^ _73207) ^ [] : [-(aElementOf0(xy, sdtpldt1(xI, xJ)))], (553 ^ _73207) ^ [] : [-(aElement0(xz))], (555 ^ _73207) ^ [] : [-(aElementOf0(xk, xI))], (557 ^ _73207) ^ [] : [-(aElementOf0(xl, xJ))], (559 ^ _73207) ^ [] : [-(xx = sdtpldt0(xk, xl))], (493 ^ _73207) ^ [] : [-(aSet0(xI))], (495 ^ _73207) ^ [_90015] : [aElementOf0(_90015, xI), 498 ^ _73207 : [(499 ^ _73207) ^ [_90190] : [aElementOf0(_90190, xI), -(aElementOf0(sdtpldt0(_90015, _90190), xI))], (505 ^ _73207) ^ [_90374] : [aElement0(_90374), -(aElementOf0(sdtasdt0(_90374, _90015), xI))]]], (511 ^ _73207) ^ [] : [-(aIdeal0(xI))], (513 ^ _73207) ^ [] : [-(aSet0(xJ))], (531 ^ _73207) ^ [] : [-(aIdeal0(xJ))], (515 ^ _73207) ^ [_90689] : [aElementOf0(_90689, xJ), 518 ^ _73207 : [(519 ^ _73207) ^ [_90864] : [aElementOf0(_90864, xJ), -(aElementOf0(sdtpldt0(_90689, _90864), xJ))], (525 ^ _73207) ^ [_91048] : [aElement0(_91048), -(aElementOf0(sdtasdt0(_91048, _90689), xJ))]]]], input).
% 101.37/98.57 ncf('1',plain,[aElementOf0(542 ^ [], xI), aElementOf0(543 ^ [], xJ), xy = sdtpldt0(542 ^ [], 543 ^ [])],start(561 ^ 0,bind([[_92355, _92357], [543 ^ [], 542 ^ []]]))).
% 101.37/98.57 ncf('1.1',plain,[-(aElementOf0(542 ^ [], xI))],extension(545 ^ 1)).
% 101.37/98.57 ncf('1.2',plain,[-(aElementOf0(543 ^ [], xJ))],extension(547 ^ 1)).
% 101.37/98.57 ncf('1.3',plain,[-(xy = sdtpldt0(542 ^ [], 543 ^ [])), sdtpldt0(542 ^ [], 543 ^ []) = xy],extension(4 ^ 1,bind([[_73458, _73460], [xy, sdtpldt0(542 ^ [], 543 ^ [])]]))).
% 101.37/98.57 ncf('1.3.1',plain,[-(sdtpldt0(542 ^ [], 543 ^ []) = xy)],extension(549 ^ 2)).
% 101.37/98.57 %-----------------------------------------------------
% 101.37/98.57 End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------