TSTP Solution File: KRS268+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS268+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n009.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 11:26:35 EDT 2023

% Result   : Theorem 0.74s 1.40s
% Output   : Proof 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS268+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.12/0.35  % Computer : n009.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Thu May 18 22:53:33 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.74/1.40  
% 0.74/1.40  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.74/1.40  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/1.40  %-----------------------------------------------------
% 0.74/1.40  ncf(matrix, plain, [(689 ^ _75416) ^ [] : [mighta(wca, thm)], (509 ^ _75416) ^ [_94007, _94009] : [mighta(_94009, _94007), 514 ^ _75416 : [(515 ^ _75416) ^ [] : [-(status(512 ^ [_94007, _94009], 513 ^ [_94007, _94009], _94009))], (517 ^ _75416) ^ [] : [-(status(512 ^ [_94007, _94009], 513 ^ [_94007, _94009], _94007))]]], (499 ^ _75416) ^ [_93662, _93664] : [-(mighta(_93664, _93662)), 500 ^ _75416 : [(501 ^ _75416) ^ [_93775, _93777] : [status(_93777, _93775, _93664), status(_93777, _93775, _93662)]]], (519 ^ _75416) ^ [_94490, _94492] : [522 ^ _75416 : [(523 ^ _75416) ^ [] : [-(status(520 ^ [_94490, _94492], 521 ^ [_94490, _94492], _94492))], (525 ^ _75416) ^ [] : [status(520 ^ [_94490, _94492], 521 ^ [_94490, _94492], _94490)]], -(isa(_94492, _94490))], (529 ^ _75416) ^ [_94894, _94896] : [isa(_94896, _94894), 532 ^ _75416 : [(533 ^ _75416) ^ [_95052, _95054] : [status(_95054, _95052, _94896), -(status(_95054, _95052, _94894))]]], (549 ^ _75416) ^ [_95668, _95670] : [nota(_95670, _95668), 554 ^ _75416 : [(555 ^ _75416) ^ [] : [-(status(552 ^ [_95668, _95670], 553 ^ [_95668, _95670], _95670))], (557 ^ _75416) ^ [] : [status(552 ^ [_95668, _95670], 553 ^ [_95668, _95670], _95668)]]], (539 ^ _75416) ^ [_95318, _95320] : [-(nota(_95320, _95318)), 540 ^ _75416 : [(541 ^ _75416) ^ [_95433, _95435] : [status(_95435, _95433, _95320), -(status(_95435, _95433, _95318))]]], (559 ^ _75416) ^ [_96156, _96158] : [562 ^ _75416 : [(563 ^ _75416) ^ [] : [-(status(560 ^ [_96156, _96158], 561 ^ [_96156, _96158], _96158))], (565 ^ _75416) ^ [] : [-(status(560 ^ [_96156, _96158], 561 ^ [_96156, _96158], _96156))]], -(nevera(_96158, _96156))], (569 ^ _75416) ^ [_96567, _96569] : [nevera(_96569, _96567), 572 ^ _75416 : [(573 ^ _75416) ^ [_96727, _96729] : [status(_96729, _96727, _96569), status(_96729, _96727, _96567)]]], (597 ^ _75416) ^ [_97610, _97612] : [xora(_97612, _97610), 600 ^ _75416 : [(601 ^ _75416) ^ [_97779, _97781] : [602 ^ _75416 : [(603 ^ _75416) ^ [] : [-(status(_97781, _97779, _97612))], (605 ^ _75416) ^ [] : [status(_97781, _97779, _97610)]], 606 ^ _75416 : [(607 ^ _75416) ^ [] : [-(status(_97781, _97779, _97610))], (609 ^ _75416) ^ [] : [status(_97781, _97779, _97612)]]]]], (579 ^ _75416) ^ [_96994, _96996] : [-(xora(_96996, _96994)), 582 ^ _75416 : [(583 ^ _75416) ^ [] : [status(580 ^ [_96994, _96996], 581 ^ [_96994, _96996], _96996), -(status(580 ^ [_96994, _96996], 581 ^ [_96994, _96996], _96994))], (589 ^ _75416) ^ [] : [status(580 ^ [_96994, _96996], 581 ^ [_96994, _96996], _96994), -(status(580 ^ [_96994, _96996], 581 ^ [_96994, _96996], _96996))]]], (611 ^ _75416) ^ [_98186, _98188] : [612 ^ _75416 : [(613 ^ _75416) ^ [] : [-(model(_98188, _98186))], (615 ^ _75416) ^ [] : [model(_98188, not _98186)]], 616 ^ _75416 : [(617 ^ _75416) ^ [] : [-(model(_98188, not _98186))], (619 ^ _75416) ^ [] : [model(_98188, _98186)]]], (621 ^ _75416) ^ [_98582, _98584] : [model(_98584, _98582), model(_98584, not _98582)], (627 ^ _75416) ^ [_98749, _98751] : [-(model(_98751, not _98749)), -(model(_98751, _98749))], (634 ^ _75416) ^ [_98981] : [-(model(_98981, 632 ^ []))], (638 ^ _75416) ^ [] : [-(model(636 ^ [], 635 ^ []))], (641 ^ _75416) ^ [] : [model(639 ^ [], 635 ^ [])], (644 ^ _75416) ^ [_99340] : [model(_99340, 642 ^ [])], (649 ^ _75416) ^ [] : [-(model(647 ^ [], 645 ^ []))], (651 ^ _75416) ^ [] : [-(model(647 ^ [], 646 ^ []))], (654 ^ _75416) ^ [] : [model(652 ^ [], 645 ^ []), model(652 ^ [], 646 ^ [])], (682 ^ _75416) ^ [] : [-(model(678 ^ [], 679 ^ []))], (684 ^ _75416) ^ [] : [model(678 ^ [], 680 ^ [])], (687 ^ _75416) ^ [] : [-(model(685 ^ [], 680 ^ []))], (663 ^ _75416) ^ [] : [-(model(661 ^ [], 659 ^ []))], (672 ^ _75416) ^ [] : [model(670 ^ [], 659 ^ [])], (674 ^ _75416) ^ [] : [-(model(670 ^ [], 660 ^ []))], (677 ^ _75416) ^ [] : [model(675 ^ [], 660 ^ [])], (665 ^ _75416) ^ [_100193] : [model(_100193, 659 ^ []), -(model(_100193, 660 ^ []))], (2 ^ _75416) ^ [_75578, _75580] : [3 ^ _75416 : [(4 ^ _75416) ^ [_75684] : [model(_75684, _75580)], (7 ^ _75416) ^ [] : [-(model(5 ^ [_75578, _75580], _75578))]], -(status(_75580, _75578, unp))], (11 ^ _75416) ^ [_75899, _75901] : [status(_75901, _75899, unp), -(model(16 ^ [_75899, _75901], _75901)), 19 ^ _75416 : [(20 ^ _75416) ^ [_76163] : [model(_76163, _75899)]]], (22 ^ _75416) ^ [_76314, _76316] : [24 ^ _75416 : [(25 ^ _75416) ^ [] : [-(model(23 ^ [_76314, _76316], _76316))], (27 ^ _75416) ^ [_76514] : [model(_76514, _76314)]], -(status(_76316, _76314, sap))], (31 ^ _75416) ^ [_76631, _76633] : [status(_76633, _76631, sap), 36 ^ _75416 : [(37 ^ _75416) ^ [_76793] : [model(_76793, _76633)]], -(model(38 ^ [_76631, _76633], _76631))], (42 ^ _75416) ^ [_77042, _77044] : [-(status(_77044, _77042, esa)), 46 ^ _75416 : [(47 ^ _75416) ^ [] : [-(model(45 ^ [_77042, _77044], _77044))], (49 ^ _75416) ^ [_77285] : [model(_77285, _77042)]], 51 ^ _75416 : [(52 ^ _75416) ^ [] : [-(model(50 ^ [_77042, _77044], _77042))], (54 ^ _75416) ^ [_77466] : [model(_77466, _77044)]]], (58 ^ _75416) ^ [_77588, _77590] : [status(_77590, _77588, esa), 61 ^ _75416 : [(62 ^ _75416) ^ [] : [63 ^ _75416 : [(64 ^ _75416) ^ [_77779] : [model(_77779, _77590)]], -(model(65 ^ [_77588, _77590], _77588))], (69 ^ _75416) ^ [] : [70 ^ _75416 : [(71 ^ _75416) ^ [_77977] : [model(_77977, _77588)]], -(model(72 ^ [_77588, _77590], _77590))]]], (86 ^ _75416) ^ [_78545, _78547] : [status(_78547, _78545, sat), 90 ^ _75416 : [(91 ^ _75416) ^ [] : [-(model(89 ^ [_78545, _78547], _78547))], (93 ^ _75416) ^ [] : [-(model(89 ^ [_78545, _78547], _78545))]]], (76 ^ _75416) ^ [_78229, _78231] : [-(status(_78231, _78229, sat)), 77 ^ _75416 : [(78 ^ _75416) ^ [_78322] : [model(_78322, _78231), model(_78322, _78229)]]], (95 ^ _75416) ^ [_78933, _78935] : [97 ^ _75416 : [(98 ^ _75416) ^ [] : [-(model(96 ^ [_78933, _78935], _78935))], (100 ^ _75416) ^ [] : [model(96 ^ [_78933, _78935], _78933)]], -(status(_78935, _78933, thm))], (104 ^ _75416) ^ [_79242, _79244] : [status(_79244, _79242, thm), 107 ^ _75416 : [(108 ^ _75416) ^ [_79381] : [model(_79381, _79244), -(model(_79381, _79242))]]], (114 ^ _75416) ^ [_79637, _79639] : [-(status(_79639, _79637, eqv)), 117 ^ _75416 : [(118 ^ _75416) ^ [_79759] : [model(_79759, _79639)]], 122 ^ _75416 : [(123 ^ _75416) ^ [] : [-(model(119 ^ [_79637, _79639], _79639))], (125 ^ _75416) ^ [] : [model(119 ^ [_79637, _79639], _79637)]], 126 ^ _75416 : [(127 ^ _75416) ^ [] : [-(model(119 ^ [_79637, _79639], _79637))], (129 ^ _75416) ^ [] : [model(119 ^ [_79637, _79639], _79639)]]], (133 ^ _75416) ^ [_80232, _80234] : [status(_80234, _80232, eqv), 137 ^ _75416 : [(138 ^ _75416) ^ [] : [-(model(136 ^ [_80232, _80234], _80234))], (140 ^ _75416) ^ [_80529] : [model(_80529, _80234), -(model(_80529, _80232))], (146 ^ _75416) ^ [_80701] : [model(_80701, _80232), -(model(_80701, _80234))]]], (163 ^ _75416) ^ [_81293, _81295] : [status(_81295, _81293, tac), 167 ^ _75416 : [(168 ^ _75416) ^ [] : [-(model(166 ^ [_81293, _81295], _81295))], (170 ^ _75416) ^ [_81540] : [-(model(_81540, _81293))]]], (152 ^ _75416) ^ [_80961, _80963] : [-(status(_80963, _80961, tac)), 155 ^ _75416 : [(156 ^ _75416) ^ [_81077] : [model(_81077, _80963)]], model(157 ^ [_80961, _80963], _80961)], (193 ^ _75416) ^ [_82355, _82357] : [status(_82357, _82355, wec), 197 ^ _75416 : [(198 ^ _75416) ^ [] : [-(model(196 ^ [_82355, _82357], _82357))], (207 ^ _75416) ^ [] : [-(model(205 ^ [_82355, _82357], _82355))], (209 ^ _75416) ^ [] : [model(205 ^ [_82355, _82357], _82357)], (200 ^ _75416) ^ [_82662] : [model(_82662, _82357), -(model(_82662, _82355))]]], (172 ^ _75416) ^ [_81689, _81691] : [-(status(_81691, _81689, wec)), 175 ^ _75416 : [(176 ^ _75416) ^ [_81830] : [model(_81830, _81691)]], 180 ^ _75416 : [(181 ^ _75416) ^ [] : [-(model(179 ^ [_81689, _81691], _81691))], (183 ^ _75416) ^ [] : [model(179 ^ [_81689, _81691], _81689)]], 184 ^ _75416 : [(185 ^ _75416) ^ [_82119] : [model(_82119, _81689), -(model(_82119, _81691))]]], (211 ^ _75416) ^ [_83104, _83106] : [-(status(_83106, _83104, eth)), 214 ^ _75416 : [(215 ^ _75416) ^ [_83239] : [model(_83239, _83106)]], 218 ^ _75416 : [(219 ^ _75416) ^ [_83335] : [-(model(_83335, _83106))]], 223 ^ _75416 : [(224 ^ _75416) ^ [] : [-(model(220 ^ [_83104, _83106], _83106))], (226 ^ _75416) ^ [] : [model(220 ^ [_83104, _83106], _83104)]], 227 ^ _75416 : [(228 ^ _75416) ^ [] : [-(model(220 ^ [_83104, _83106], _83104))], (230 ^ _75416) ^ [] : [model(220 ^ [_83104, _83106], _83106)]]], (234 ^ _75416) ^ [_83813, _83815] : [status(_83815, _83813, eth), 238 ^ _75416 : [(239 ^ _75416) ^ [] : [-(model(237 ^ [_83813, _83815], _83815))], (242 ^ _75416) ^ [] : [model(240 ^ [_83813, _83815], _83815)], (244 ^ _75416) ^ [_84242] : [model(_84242, _83815), -(model(_84242, _83813))], (250 ^ _75416) ^ [_84414] : [model(_84414, _83813), -(model(_84414, _83815))]]], (267 ^ _75416) ^ [_84999, _85001] : [status(_85001, _84999, tau), 270 ^ _75416 : [(271 ^ _75416) ^ [_85143] : [-(model(_85143, _85001))], (273 ^ _75416) ^ [_85191] : [-(model(_85191, _84999))]]], (256 ^ _75416) ^ [_84676, _84678] : [-(status(_84678, _84676, tau)), model(257 ^ [_84676, _84678], _84678), model(257 ^ [_84676, _84678], _84676)], (290 ^ _75416) ^ [_85786, _85788] : [status(_85788, _85786, wtc), 294 ^ _75416 : [(295 ^ _75416) ^ [] : [-(model(293 ^ [_85786, _85788], _85788))], (298 ^ _75416) ^ [] : [model(296 ^ [_85786, _85788], _85788)], (300 ^ _75416) ^ [_86165] : [-(model(_86165, _85786))]]], (275 ^ _75416) ^ [_85340, _85342] : [-(status(_85342, _85340, wtc)), 278 ^ _75416 : [(279 ^ _75416) ^ [_85469] : [model(_85469, _85342)]], 282 ^ _75416 : [(283 ^ _75416) ^ [_85565] : [-(model(_85565, _85342))]], model(284 ^ [_85340, _85342], _85340)], (327 ^ _75416) ^ [_87096, _87098] : [status(_87098, _87096, wth), 331 ^ _75416 : [(332 ^ _75416) ^ [] : [-(model(330 ^ [_87096, _87098], _87098))], (341 ^ _75416) ^ [] : [-(model(339 ^ [_87096, _87098], _87096))], (343 ^ _75416) ^ [] : [model(339 ^ [_87096, _87098], _87098)], (346 ^ _75416) ^ [] : [model(344 ^ [_87096, _87098], _87096)], (334 ^ _75416) ^ [_87416] : [model(_87416, _87098), -(model(_87416, _87096))]]], (302 ^ _75416) ^ [_86316, _86318] : [-(status(_86318, _86316, wth)), 305 ^ _75416 : [(306 ^ _75416) ^ [_86470] : [model(_86470, _86318)]], 310 ^ _75416 : [(311 ^ _75416) ^ [] : [-(model(309 ^ [_86316, _86318], _86318))], (313 ^ _75416) ^ [] : [model(309 ^ [_86316, _86318], _86316)]], 322 ^ _75416 : [(323 ^ _75416) ^ [_86966] : [-(model(_86966, _86316))]], 316 ^ _75416 : [(317 ^ _75416) ^ [_86793] : [model(_86793, _86316), -(model(_86793, _86318))]]], (348 ^ _75416) ^ [_87983, _87985] : [-(model(349 ^ [_87983, _87985], _87985)), -(status(_87985, _87983, cax))], (355 ^ _75416) ^ [_88207, _88209] : [status(_88209, _88207, cax), 358 ^ _75416 : [(359 ^ _75416) ^ [_88326] : [model(_88326, _88209)]]], (372 ^ _75416) ^ [_88808, _88810] : [status(_88810, _88808, sca), 375 ^ _75416 : [(376 ^ _75416) ^ [_88958] : [model(_88958, _88810)], (379 ^ _75416) ^ [] : [-(model(377 ^ [_88808, _88810], _88808))]]], (361 ^ _75416) ^ [_88473, _88475] : [-(status(_88475, _88473, sca)), -(model(364 ^ [_88473, _88475], _88475)), 367 ^ _75416 : [(368 ^ _75416) ^ [_88689] : [model(_88689, _88473)]]], (393 ^ _75416) ^ [_89575, _89577] : [status(_89577, _89575, tca), 396 ^ _75416 : [(397 ^ _75416) ^ [_89725] : [model(_89725, _89577)], (399 ^ _75416) ^ [_89787] : [-(model(_89787, _89575))]]], (381 ^ _75416) ^ [_89205, _89207] : [-(status(_89207, _89205, tca)), -(model(384 ^ [_89205, _89207], _89207)), model(387 ^ [_89205, _89207], _89205)], (416 ^ _75416) ^ [_90385, _90387] : [status(_90387, _90385, wca), 419 ^ _75416 : [(420 ^ _75416) ^ [_90548] : [model(_90548, _90387)], (423 ^ _75416) ^ [] : [-(model(421 ^ [_90385, _90387], _90385))], (426 ^ _75416) ^ [] : [model(424 ^ [_90385, _90387], _90385)]]], (401 ^ _75416) ^ [_89936, _89938] : [-(status(_89938, _89936, wca)), -(model(404 ^ [_89936, _89938], _89938)), 409 ^ _75416 : [(410 ^ _75416) ^ [_90199] : [model(_90199, _89936)]], 411 ^ _75416 : [(412 ^ _75416) ^ [_90261] : [-(model(_90261, _89936))]]], (438 ^ _75416) ^ [_91238, _91240] : [status(_91240, _91238, csa), 442 ^ _75416 : [(443 ^ _75416) ^ [] : [-(model(441 ^ [_91238, _91240], _91240))], (445 ^ _75416) ^ [] : [-(model(441 ^ [_91238, _91240], not _91238))]]], (428 ^ _75416) ^ [_90916, _90918] : [-(status(_90918, _90916, csa)), 429 ^ _75416 : [(430 ^ _75416) ^ [_91011] : [model(_91011, _90918), model(_91011, not _90916)]]], (459 ^ _75416) ^ [_92005, _92007] : [status(_92007, _92005, uns), 462 ^ _75416 : [(463 ^ _75416) ^ [_92156] : [-(model(_92156, _92007))], (465 ^ _75416) ^ [_92218] : [-(model(_92218, not _92005))]]], (447 ^ _75416) ^ [_91632, _91634] : [-(status(_91634, _91632, uns)), model(450 ^ [_91632, _91634], _91634), model(453 ^ [_91632, _91634], not _91632)], (485 ^ _75416) ^ [_92912, _92914] : [status(_92914, _92912, noc), 489 ^ _75416 : [(490 ^ _75416) ^ [] : [-(model(488 ^ [_92912, _92914], _92914))], (492 ^ _75416) ^ [] : [-(model(488 ^ [_92912, _92914], _92912))], (495 ^ _75416) ^ [] : [-(model(493 ^ [_92912, _92914], _92914))], (497 ^ _75416) ^ [] : [-(model(493 ^ [_92912, _92914], not _92912))]]], (467 ^ _75416) ^ [_92349, _92351] : [-(status(_92351, _92349, noc)), 470 ^ _75416 : [(471 ^ _75416) ^ [_92495] : [model(_92495, _92351), model(_92495, _92349)]], 476 ^ _75416 : [(477 ^ _75416) ^ [_92680] : [model(_92680, _92351), model(_92680, not _92349)]]]], input).
% 0.74/1.40  ncf('1',plain,[mighta(wca, thm)],start(689 ^ 0)).
% 0.74/1.40  ncf('1.1',plain,[-(mighta(wca, thm)), 501 : status(642 ^ [], not 635 ^ [], wca), 501 : status(642 ^ [], not 635 ^ [], thm)],extension(499 ^ 1,bind([[_93662, _93664, _93775, _93777], [thm, wca, not 635 ^ [], 642 ^ []]]))).
% 0.74/1.40  ncf('1.1.1',plain,[-(status(642 ^ [], not 635 ^ [], wca)), -(model(404 ^ [not 635 ^ [], 642 ^ []], 642 ^ [])), 410 : model(639 ^ [], not 635 ^ []), 412 : -(model(636 ^ [], not 635 ^ []))],extension(401 ^ 4,bind([[_89936, _89938, _90199, _90261], [not 635 ^ [], 642 ^ [], 639 ^ [], 636 ^ []]]))).
% 0.74/1.40  ncf('1.1.1.1',plain,[model(404 ^ [not 635 ^ [], 642 ^ []], 642 ^ [])],extension(644 ^ 5,bind([[_99340], [404 ^ [not 635 ^ [], 642 ^ []]]]))).
% 0.74/1.40  ncf('1.1.1.2',plain,[-(model(639 ^ [], not 635 ^ [])), 613 : -(model(639 ^ [], 635 ^ []))],extension(611 ^ 7,bind([[_98186, _98188], [635 ^ [], 639 ^ []]]))).
% 0.74/1.40  ncf('1.1.1.2.1',plain,[model(639 ^ [], 635 ^ [])],extension(641 ^ 10)).
% 0.74/1.40  ncf('1.1.1.3',plain,[model(636 ^ [], not 635 ^ []), 619 : model(636 ^ [], 635 ^ [])],extension(611 ^ 7,bind([[_98186, _98188], [635 ^ [], 636 ^ []]]))).
% 0.74/1.40  ncf('1.1.1.3.1',plain,[-(model(636 ^ [], 635 ^ []))],extension(638 ^ 10)).
% 0.74/1.40  ncf('1.1.2',plain,[-(status(642 ^ [], not 635 ^ [], thm)), 98 : -(model(96 ^ [not 635 ^ [], 642 ^ []], 642 ^ []))],extension(95 ^ 4,bind([[_78933, _78935], [not 635 ^ [], 642 ^ []]]))).
% 0.74/1.40  ncf('1.1.2.1',plain,[model(96 ^ [not 635 ^ [], 642 ^ []], 642 ^ [])],extension(644 ^ 7,bind([[_99340], [96 ^ [not 635 ^ [], 642 ^ []]]]))).
% 0.74/1.40  %-----------------------------------------------------
% 0.74/1.40  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------