TSTP Solution File: KRS259+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS259+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n028.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 11:26:33 EDT 2023

% Result   : Theorem 0.70s 1.37s
% Output   : Proof 0.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : KRS259+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.11/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May 18 23:17:33 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.70/1.37  
% 0.70/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.70/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/1.37  %-----------------------------------------------------
% 0.70/1.37  ncf(matrix, plain, [(689 ^ _74784) ^ [] : [mighta(tac, thm)], (509 ^ _74784) ^ [_93375, _93377] : [mighta(_93377, _93375), 514 ^ _74784 : [(515 ^ _74784) ^ [] : [-(status(512 ^ [_93375, _93377], 513 ^ [_93375, _93377], _93377))], (517 ^ _74784) ^ [] : [-(status(512 ^ [_93375, _93377], 513 ^ [_93375, _93377], _93375))]]], (499 ^ _74784) ^ [_93030, _93032] : [-(mighta(_93032, _93030)), 500 ^ _74784 : [(501 ^ _74784) ^ [_93143, _93145] : [status(_93145, _93143, _93032), status(_93145, _93143, _93030)]]], (519 ^ _74784) ^ [_93858, _93860] : [522 ^ _74784 : [(523 ^ _74784) ^ [] : [-(status(520 ^ [_93858, _93860], 521 ^ [_93858, _93860], _93860))], (525 ^ _74784) ^ [] : [status(520 ^ [_93858, _93860], 521 ^ [_93858, _93860], _93858)]], -(isa(_93860, _93858))], (529 ^ _74784) ^ [_94262, _94264] : [isa(_94264, _94262), 532 ^ _74784 : [(533 ^ _74784) ^ [_94420, _94422] : [status(_94422, _94420, _94264), -(status(_94422, _94420, _94262))]]], (549 ^ _74784) ^ [_95036, _95038] : [nota(_95038, _95036), 554 ^ _74784 : [(555 ^ _74784) ^ [] : [-(status(552 ^ [_95036, _95038], 553 ^ [_95036, _95038], _95038))], (557 ^ _74784) ^ [] : [status(552 ^ [_95036, _95038], 553 ^ [_95036, _95038], _95036)]]], (539 ^ _74784) ^ [_94686, _94688] : [-(nota(_94688, _94686)), 540 ^ _74784 : [(541 ^ _74784) ^ [_94801, _94803] : [status(_94803, _94801, _94688), -(status(_94803, _94801, _94686))]]], (559 ^ _74784) ^ [_95524, _95526] : [562 ^ _74784 : [(563 ^ _74784) ^ [] : [-(status(560 ^ [_95524, _95526], 561 ^ [_95524, _95526], _95526))], (565 ^ _74784) ^ [] : [-(status(560 ^ [_95524, _95526], 561 ^ [_95524, _95526], _95524))]], -(nevera(_95526, _95524))], (569 ^ _74784) ^ [_95935, _95937] : [nevera(_95937, _95935), 572 ^ _74784 : [(573 ^ _74784) ^ [_96095, _96097] : [status(_96097, _96095, _95937), status(_96097, _96095, _95935)]]], (597 ^ _74784) ^ [_96978, _96980] : [xora(_96980, _96978), 600 ^ _74784 : [(601 ^ _74784) ^ [_97147, _97149] : [602 ^ _74784 : [(603 ^ _74784) ^ [] : [-(status(_97149, _97147, _96980))], (605 ^ _74784) ^ [] : [status(_97149, _97147, _96978)]], 606 ^ _74784 : [(607 ^ _74784) ^ [] : [-(status(_97149, _97147, _96978))], (609 ^ _74784) ^ [] : [status(_97149, _97147, _96980)]]]]], (579 ^ _74784) ^ [_96362, _96364] : [-(xora(_96364, _96362)), 582 ^ _74784 : [(583 ^ _74784) ^ [] : [status(580 ^ [_96362, _96364], 581 ^ [_96362, _96364], _96364), -(status(580 ^ [_96362, _96364], 581 ^ [_96362, _96364], _96362))], (589 ^ _74784) ^ [] : [status(580 ^ [_96362, _96364], 581 ^ [_96362, _96364], _96362), -(status(580 ^ [_96362, _96364], 581 ^ [_96362, _96364], _96364))]]], (611 ^ _74784) ^ [_97554, _97556] : [612 ^ _74784 : [(613 ^ _74784) ^ [] : [-(model(_97556, _97554))], (615 ^ _74784) ^ [] : [model(_97556, not _97554)]], 616 ^ _74784 : [(617 ^ _74784) ^ [] : [-(model(_97556, not _97554))], (619 ^ _74784) ^ [] : [model(_97556, _97554)]]], (621 ^ _74784) ^ [_97950, _97952] : [model(_97952, _97950), model(_97952, not _97950)], (627 ^ _74784) ^ [_98117, _98119] : [-(model(_98119, not _98117)), -(model(_98119, _98117))], (634 ^ _74784) ^ [_98349] : [-(model(_98349, 632 ^ []))], (638 ^ _74784) ^ [] : [-(model(636 ^ [], 635 ^ []))], (641 ^ _74784) ^ [] : [model(639 ^ [], 635 ^ [])], (644 ^ _74784) ^ [_98708] : [model(_98708, 642 ^ [])], (649 ^ _74784) ^ [] : [-(model(647 ^ [], 645 ^ []))], (651 ^ _74784) ^ [] : [-(model(647 ^ [], 646 ^ []))], (654 ^ _74784) ^ [] : [model(652 ^ [], 645 ^ []), model(652 ^ [], 646 ^ [])], (682 ^ _74784) ^ [] : [-(model(678 ^ [], 679 ^ []))], (684 ^ _74784) ^ [] : [model(678 ^ [], 680 ^ [])], (687 ^ _74784) ^ [] : [-(model(685 ^ [], 680 ^ []))], (663 ^ _74784) ^ [] : [-(model(661 ^ [], 659 ^ []))], (672 ^ _74784) ^ [] : [model(670 ^ [], 659 ^ [])], (674 ^ _74784) ^ [] : [-(model(670 ^ [], 660 ^ []))], (677 ^ _74784) ^ [] : [model(675 ^ [], 660 ^ [])], (665 ^ _74784) ^ [_99561] : [model(_99561, 659 ^ []), -(model(_99561, 660 ^ []))], (2 ^ _74784) ^ [_74946, _74948] : [3 ^ _74784 : [(4 ^ _74784) ^ [_75052] : [model(_75052, _74948)], (7 ^ _74784) ^ [] : [-(model(5 ^ [_74946, _74948], _74946))]], -(status(_74948, _74946, unp))], (11 ^ _74784) ^ [_75267, _75269] : [status(_75269, _75267, unp), -(model(16 ^ [_75267, _75269], _75269)), 19 ^ _74784 : [(20 ^ _74784) ^ [_75531] : [model(_75531, _75267)]]], (22 ^ _74784) ^ [_75682, _75684] : [24 ^ _74784 : [(25 ^ _74784) ^ [] : [-(model(23 ^ [_75682, _75684], _75684))], (27 ^ _74784) ^ [_75882] : [model(_75882, _75682)]], -(status(_75684, _75682, sap))], (31 ^ _74784) ^ [_75999, _76001] : [status(_76001, _75999, sap), 36 ^ _74784 : [(37 ^ _74784) ^ [_76161] : [model(_76161, _76001)]], -(model(38 ^ [_75999, _76001], _75999))], (42 ^ _74784) ^ [_76410, _76412] : [-(status(_76412, _76410, esa)), 46 ^ _74784 : [(47 ^ _74784) ^ [] : [-(model(45 ^ [_76410, _76412], _76412))], (49 ^ _74784) ^ [_76653] : [model(_76653, _76410)]], 51 ^ _74784 : [(52 ^ _74784) ^ [] : [-(model(50 ^ [_76410, _76412], _76410))], (54 ^ _74784) ^ [_76834] : [model(_76834, _76412)]]], (58 ^ _74784) ^ [_76956, _76958] : [status(_76958, _76956, esa), 61 ^ _74784 : [(62 ^ _74784) ^ [] : [63 ^ _74784 : [(64 ^ _74784) ^ [_77147] : [model(_77147, _76958)]], -(model(65 ^ [_76956, _76958], _76956))], (69 ^ _74784) ^ [] : [70 ^ _74784 : [(71 ^ _74784) ^ [_77345] : [model(_77345, _76956)]], -(model(72 ^ [_76956, _76958], _76958))]]], (86 ^ _74784) ^ [_77913, _77915] : [status(_77915, _77913, sat), 90 ^ _74784 : [(91 ^ _74784) ^ [] : [-(model(89 ^ [_77913, _77915], _77915))], (93 ^ _74784) ^ [] : [-(model(89 ^ [_77913, _77915], _77913))]]], (76 ^ _74784) ^ [_77597, _77599] : [-(status(_77599, _77597, sat)), 77 ^ _74784 : [(78 ^ _74784) ^ [_77690] : [model(_77690, _77599), model(_77690, _77597)]]], (95 ^ _74784) ^ [_78301, _78303] : [97 ^ _74784 : [(98 ^ _74784) ^ [] : [-(model(96 ^ [_78301, _78303], _78303))], (100 ^ _74784) ^ [] : [model(96 ^ [_78301, _78303], _78301)]], -(status(_78303, _78301, thm))], (104 ^ _74784) ^ [_78610, _78612] : [status(_78612, _78610, thm), 107 ^ _74784 : [(108 ^ _74784) ^ [_78749] : [model(_78749, _78612), -(model(_78749, _78610))]]], (114 ^ _74784) ^ [_79005, _79007] : [-(status(_79007, _79005, eqv)), 117 ^ _74784 : [(118 ^ _74784) ^ [_79127] : [model(_79127, _79007)]], 122 ^ _74784 : [(123 ^ _74784) ^ [] : [-(model(119 ^ [_79005, _79007], _79007))], (125 ^ _74784) ^ [] : [model(119 ^ [_79005, _79007], _79005)]], 126 ^ _74784 : [(127 ^ _74784) ^ [] : [-(model(119 ^ [_79005, _79007], _79005))], (129 ^ _74784) ^ [] : [model(119 ^ [_79005, _79007], _79007)]]], (133 ^ _74784) ^ [_79600, _79602] : [status(_79602, _79600, eqv), 137 ^ _74784 : [(138 ^ _74784) ^ [] : [-(model(136 ^ [_79600, _79602], _79602))], (140 ^ _74784) ^ [_79897] : [model(_79897, _79602), -(model(_79897, _79600))], (146 ^ _74784) ^ [_80069] : [model(_80069, _79600), -(model(_80069, _79602))]]], (163 ^ _74784) ^ [_80661, _80663] : [status(_80663, _80661, tac), 167 ^ _74784 : [(168 ^ _74784) ^ [] : [-(model(166 ^ [_80661, _80663], _80663))], (170 ^ _74784) ^ [_80908] : [-(model(_80908, _80661))]]], (152 ^ _74784) ^ [_80329, _80331] : [-(status(_80331, _80329, tac)), 155 ^ _74784 : [(156 ^ _74784) ^ [_80445] : [model(_80445, _80331)]], model(157 ^ [_80329, _80331], _80329)], (193 ^ _74784) ^ [_81723, _81725] : [status(_81725, _81723, wec), 197 ^ _74784 : [(198 ^ _74784) ^ [] : [-(model(196 ^ [_81723, _81725], _81725))], (207 ^ _74784) ^ [] : [-(model(205 ^ [_81723, _81725], _81723))], (209 ^ _74784) ^ [] : [model(205 ^ [_81723, _81725], _81725)], (200 ^ _74784) ^ [_82030] : [model(_82030, _81725), -(model(_82030, _81723))]]], (172 ^ _74784) ^ [_81057, _81059] : [-(status(_81059, _81057, wec)), 175 ^ _74784 : [(176 ^ _74784) ^ [_81198] : [model(_81198, _81059)]], 180 ^ _74784 : [(181 ^ _74784) ^ [] : [-(model(179 ^ [_81057, _81059], _81059))], (183 ^ _74784) ^ [] : [model(179 ^ [_81057, _81059], _81057)]], 184 ^ _74784 : [(185 ^ _74784) ^ [_81487] : [model(_81487, _81057), -(model(_81487, _81059))]]], (211 ^ _74784) ^ [_82472, _82474] : [-(status(_82474, _82472, eth)), 214 ^ _74784 : [(215 ^ _74784) ^ [_82607] : [model(_82607, _82474)]], 218 ^ _74784 : [(219 ^ _74784) ^ [_82703] : [-(model(_82703, _82474))]], 223 ^ _74784 : [(224 ^ _74784) ^ [] : [-(model(220 ^ [_82472, _82474], _82474))], (226 ^ _74784) ^ [] : [model(220 ^ [_82472, _82474], _82472)]], 227 ^ _74784 : [(228 ^ _74784) ^ [] : [-(model(220 ^ [_82472, _82474], _82472))], (230 ^ _74784) ^ [] : [model(220 ^ [_82472, _82474], _82474)]]], (234 ^ _74784) ^ [_83181, _83183] : [status(_83183, _83181, eth), 238 ^ _74784 : [(239 ^ _74784) ^ [] : [-(model(237 ^ [_83181, _83183], _83183))], (242 ^ _74784) ^ [] : [model(240 ^ [_83181, _83183], _83183)], (244 ^ _74784) ^ [_83610] : [model(_83610, _83183), -(model(_83610, _83181))], (250 ^ _74784) ^ [_83782] : [model(_83782, _83181), -(model(_83782, _83183))]]], (267 ^ _74784) ^ [_84367, _84369] : [status(_84369, _84367, tau), 270 ^ _74784 : [(271 ^ _74784) ^ [_84511] : [-(model(_84511, _84369))], (273 ^ _74784) ^ [_84559] : [-(model(_84559, _84367))]]], (256 ^ _74784) ^ [_84044, _84046] : [-(status(_84046, _84044, tau)), model(257 ^ [_84044, _84046], _84046), model(257 ^ [_84044, _84046], _84044)], (290 ^ _74784) ^ [_85154, _85156] : [status(_85156, _85154, wtc), 294 ^ _74784 : [(295 ^ _74784) ^ [] : [-(model(293 ^ [_85154, _85156], _85156))], (298 ^ _74784) ^ [] : [model(296 ^ [_85154, _85156], _85156)], (300 ^ _74784) ^ [_85533] : [-(model(_85533, _85154))]]], (275 ^ _74784) ^ [_84708, _84710] : [-(status(_84710, _84708, wtc)), 278 ^ _74784 : [(279 ^ _74784) ^ [_84837] : [model(_84837, _84710)]], 282 ^ _74784 : [(283 ^ _74784) ^ [_84933] : [-(model(_84933, _84710))]], model(284 ^ [_84708, _84710], _84708)], (327 ^ _74784) ^ [_86464, _86466] : [status(_86466, _86464, wth), 331 ^ _74784 : [(332 ^ _74784) ^ [] : [-(model(330 ^ [_86464, _86466], _86466))], (341 ^ _74784) ^ [] : [-(model(339 ^ [_86464, _86466], _86464))], (343 ^ _74784) ^ [] : [model(339 ^ [_86464, _86466], _86466)], (346 ^ _74784) ^ [] : [model(344 ^ [_86464, _86466], _86464)], (334 ^ _74784) ^ [_86784] : [model(_86784, _86466), -(model(_86784, _86464))]]], (302 ^ _74784) ^ [_85684, _85686] : [-(status(_85686, _85684, wth)), 305 ^ _74784 : [(306 ^ _74784) ^ [_85838] : [model(_85838, _85686)]], 310 ^ _74784 : [(311 ^ _74784) ^ [] : [-(model(309 ^ [_85684, _85686], _85686))], (313 ^ _74784) ^ [] : [model(309 ^ [_85684, _85686], _85684)]], 322 ^ _74784 : [(323 ^ _74784) ^ [_86334] : [-(model(_86334, _85684))]], 316 ^ _74784 : [(317 ^ _74784) ^ [_86161] : [model(_86161, _85684), -(model(_86161, _85686))]]], (348 ^ _74784) ^ [_87351, _87353] : [-(model(349 ^ [_87351, _87353], _87353)), -(status(_87353, _87351, cax))], (355 ^ _74784) ^ [_87575, _87577] : [status(_87577, _87575, cax), 358 ^ _74784 : [(359 ^ _74784) ^ [_87694] : [model(_87694, _87577)]]], (372 ^ _74784) ^ [_88176, _88178] : [status(_88178, _88176, sca), 375 ^ _74784 : [(376 ^ _74784) ^ [_88326] : [model(_88326, _88178)], (379 ^ _74784) ^ [] : [-(model(377 ^ [_88176, _88178], _88176))]]], (361 ^ _74784) ^ [_87841, _87843] : [-(status(_87843, _87841, sca)), -(model(364 ^ [_87841, _87843], _87843)), 367 ^ _74784 : [(368 ^ _74784) ^ [_88057] : [model(_88057, _87841)]]], (393 ^ _74784) ^ [_88943, _88945] : [status(_88945, _88943, tca), 396 ^ _74784 : [(397 ^ _74784) ^ [_89093] : [model(_89093, _88945)], (399 ^ _74784) ^ [_89155] : [-(model(_89155, _88943))]]], (381 ^ _74784) ^ [_88573, _88575] : [-(status(_88575, _88573, tca)), -(model(384 ^ [_88573, _88575], _88575)), model(387 ^ [_88573, _88575], _88573)], (416 ^ _74784) ^ [_89753, _89755] : [status(_89755, _89753, wca), 419 ^ _74784 : [(420 ^ _74784) ^ [_89916] : [model(_89916, _89755)], (423 ^ _74784) ^ [] : [-(model(421 ^ [_89753, _89755], _89753))], (426 ^ _74784) ^ [] : [model(424 ^ [_89753, _89755], _89753)]]], (401 ^ _74784) ^ [_89304, _89306] : [-(status(_89306, _89304, wca)), -(model(404 ^ [_89304, _89306], _89306)), 409 ^ _74784 : [(410 ^ _74784) ^ [_89567] : [model(_89567, _89304)]], 411 ^ _74784 : [(412 ^ _74784) ^ [_89629] : [-(model(_89629, _89304))]]], (438 ^ _74784) ^ [_90606, _90608] : [status(_90608, _90606, csa), 442 ^ _74784 : [(443 ^ _74784) ^ [] : [-(model(441 ^ [_90606, _90608], _90608))], (445 ^ _74784) ^ [] : [-(model(441 ^ [_90606, _90608], not _90606))]]], (428 ^ _74784) ^ [_90284, _90286] : [-(status(_90286, _90284, csa)), 429 ^ _74784 : [(430 ^ _74784) ^ [_90379] : [model(_90379, _90286), model(_90379, not _90284)]]], (459 ^ _74784) ^ [_91373, _91375] : [status(_91375, _91373, uns), 462 ^ _74784 : [(463 ^ _74784) ^ [_91524] : [-(model(_91524, _91375))], (465 ^ _74784) ^ [_91586] : [-(model(_91586, not _91373))]]], (447 ^ _74784) ^ [_91000, _91002] : [-(status(_91002, _91000, uns)), model(450 ^ [_91000, _91002], _91002), model(453 ^ [_91000, _91002], not _91000)], (485 ^ _74784) ^ [_92280, _92282] : [status(_92282, _92280, noc), 489 ^ _74784 : [(490 ^ _74784) ^ [] : [-(model(488 ^ [_92280, _92282], _92282))], (492 ^ _74784) ^ [] : [-(model(488 ^ [_92280, _92282], _92280))], (495 ^ _74784) ^ [] : [-(model(493 ^ [_92280, _92282], _92282))], (497 ^ _74784) ^ [] : [-(model(493 ^ [_92280, _92282], not _92280))]]], (467 ^ _74784) ^ [_91717, _91719] : [-(status(_91719, _91717, noc)), 470 ^ _74784 : [(471 ^ _74784) ^ [_91863] : [model(_91863, _91719), model(_91863, _91717)]], 476 ^ _74784 : [(477 ^ _74784) ^ [_92048] : [model(_92048, _91719), model(_92048, not _91717)]]]], input).
% 0.70/1.37  ncf('1',plain,[mighta(tac, thm)],start(689 ^ 0)).
% 0.70/1.37  ncf('1.1',plain,[-(mighta(tac, thm)), 501 : status(not 635 ^ [], 632 ^ [], tac), 501 : status(not 635 ^ [], 632 ^ [], thm)],extension(499 ^ 1,bind([[_93030, _93032, _93143, _93145], [thm, tac, 632 ^ [], not 635 ^ []]]))).
% 0.70/1.37  ncf('1.1.1',plain,[-(status(not 635 ^ [], 632 ^ [], tac)), 156 : model(639 ^ [], not 635 ^ []), 156 : model(157 ^ [632 ^ [], not 635 ^ []], 632 ^ [])],extension(152 ^ 4,bind([[_80329, _80331, _80445], [632 ^ [], not 635 ^ [], 639 ^ []]]))).
% 0.70/1.37  ncf('1.1.1.1',plain,[-(model(639 ^ [], not 635 ^ [])), 613 : -(model(639 ^ [], 635 ^ []))],extension(611 ^ 7,bind([[_97554, _97556], [635 ^ [], 639 ^ []]]))).
% 0.70/1.37  ncf('1.1.1.1.1',plain,[model(639 ^ [], 635 ^ [])],extension(641 ^ 10)).
% 0.70/1.37  ncf('1.1.1.2',plain,[-(model(157 ^ [632 ^ [], not 635 ^ []], 632 ^ []))],extension(634 ^ 5,bind([[_98349], [157 ^ [632 ^ [], not 635 ^ []]]]))).
% 0.70/1.37  ncf('1.1.2',plain,[-(status(not 635 ^ [], 632 ^ [], thm)), 100 : model(96 ^ [632 ^ [], not 635 ^ []], 632 ^ [])],extension(95 ^ 4,bind([[_78301, _78303], [632 ^ [], not 635 ^ []]]))).
% 0.70/1.37  ncf('1.1.2.1',plain,[-(model(96 ^ [632 ^ [], not 635 ^ []], 632 ^ []))],extension(634 ^ 7,bind([[_98349], [96 ^ [632 ^ [], not 635 ^ []]]]))).
% 0.70/1.37  %-----------------------------------------------------
% 0.70/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------