TSTP Solution File: KRS262+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS262+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n012.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 11:26:34 EDT 2023

% Result   : Theorem 0.78s 1.39s
% Output   : Proof 0.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS262+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.13  % Command  : nanocop.sh %s %d
% 0.13/0.34  % Computer : n012.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 22:57:31 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.78/1.39  
% 0.78/1.39  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.78/1.39  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/1.39  %-----------------------------------------------------
% 0.78/1.39  ncf(matrix, plain, [(689 ^ _74695) ^ [] : [mighta(tau, thm)], (509 ^ _74695) ^ [_93286, _93288] : [mighta(_93288, _93286), 514 ^ _74695 : [(515 ^ _74695) ^ [] : [-(status(512 ^ [_93286, _93288], 513 ^ [_93286, _93288], _93288))], (517 ^ _74695) ^ [] : [-(status(512 ^ [_93286, _93288], 513 ^ [_93286, _93288], _93286))]]], (499 ^ _74695) ^ [_92941, _92943] : [-(mighta(_92943, _92941)), 500 ^ _74695 : [(501 ^ _74695) ^ [_93054, _93056] : [status(_93056, _93054, _92943), status(_93056, _93054, _92941)]]], (519 ^ _74695) ^ [_93769, _93771] : [522 ^ _74695 : [(523 ^ _74695) ^ [] : [-(status(520 ^ [_93769, _93771], 521 ^ [_93769, _93771], _93771))], (525 ^ _74695) ^ [] : [status(520 ^ [_93769, _93771], 521 ^ [_93769, _93771], _93769)]], -(isa(_93771, _93769))], (529 ^ _74695) ^ [_94173, _94175] : [isa(_94175, _94173), 532 ^ _74695 : [(533 ^ _74695) ^ [_94331, _94333] : [status(_94333, _94331, _94175), -(status(_94333, _94331, _94173))]]], (549 ^ _74695) ^ [_94947, _94949] : [nota(_94949, _94947), 554 ^ _74695 : [(555 ^ _74695) ^ [] : [-(status(552 ^ [_94947, _94949], 553 ^ [_94947, _94949], _94949))], (557 ^ _74695) ^ [] : [status(552 ^ [_94947, _94949], 553 ^ [_94947, _94949], _94947)]]], (539 ^ _74695) ^ [_94597, _94599] : [-(nota(_94599, _94597)), 540 ^ _74695 : [(541 ^ _74695) ^ [_94712, _94714] : [status(_94714, _94712, _94599), -(status(_94714, _94712, _94597))]]], (559 ^ _74695) ^ [_95435, _95437] : [562 ^ _74695 : [(563 ^ _74695) ^ [] : [-(status(560 ^ [_95435, _95437], 561 ^ [_95435, _95437], _95437))], (565 ^ _74695) ^ [] : [-(status(560 ^ [_95435, _95437], 561 ^ [_95435, _95437], _95435))]], -(nevera(_95437, _95435))], (569 ^ _74695) ^ [_95846, _95848] : [nevera(_95848, _95846), 572 ^ _74695 : [(573 ^ _74695) ^ [_96006, _96008] : [status(_96008, _96006, _95848), status(_96008, _96006, _95846)]]], (597 ^ _74695) ^ [_96889, _96891] : [xora(_96891, _96889), 600 ^ _74695 : [(601 ^ _74695) ^ [_97058, _97060] : [602 ^ _74695 : [(603 ^ _74695) ^ [] : [-(status(_97060, _97058, _96891))], (605 ^ _74695) ^ [] : [status(_97060, _97058, _96889)]], 606 ^ _74695 : [(607 ^ _74695) ^ [] : [-(status(_97060, _97058, _96889))], (609 ^ _74695) ^ [] : [status(_97060, _97058, _96891)]]]]], (579 ^ _74695) ^ [_96273, _96275] : [-(xora(_96275, _96273)), 582 ^ _74695 : [(583 ^ _74695) ^ [] : [status(580 ^ [_96273, _96275], 581 ^ [_96273, _96275], _96275), -(status(580 ^ [_96273, _96275], 581 ^ [_96273, _96275], _96273))], (589 ^ _74695) ^ [] : [status(580 ^ [_96273, _96275], 581 ^ [_96273, _96275], _96273), -(status(580 ^ [_96273, _96275], 581 ^ [_96273, _96275], _96275))]]], (611 ^ _74695) ^ [_97465, _97467] : [612 ^ _74695 : [(613 ^ _74695) ^ [] : [-(model(_97467, _97465))], (615 ^ _74695) ^ [] : [model(_97467, not _97465)]], 616 ^ _74695 : [(617 ^ _74695) ^ [] : [-(model(_97467, not _97465))], (619 ^ _74695) ^ [] : [model(_97467, _97465)]]], (621 ^ _74695) ^ [_97861, _97863] : [model(_97863, _97861), model(_97863, not _97861)], (627 ^ _74695) ^ [_98028, _98030] : [-(model(_98030, not _98028)), -(model(_98030, _98028))], (634 ^ _74695) ^ [_98260] : [-(model(_98260, 632 ^ []))], (638 ^ _74695) ^ [] : [-(model(636 ^ [], 635 ^ []))], (641 ^ _74695) ^ [] : [model(639 ^ [], 635 ^ [])], (644 ^ _74695) ^ [_98619] : [model(_98619, 642 ^ [])], (649 ^ _74695) ^ [] : [-(model(647 ^ [], 645 ^ []))], (651 ^ _74695) ^ [] : [-(model(647 ^ [], 646 ^ []))], (654 ^ _74695) ^ [] : [model(652 ^ [], 645 ^ []), model(652 ^ [], 646 ^ [])], (682 ^ _74695) ^ [] : [-(model(678 ^ [], 679 ^ []))], (684 ^ _74695) ^ [] : [model(678 ^ [], 680 ^ [])], (687 ^ _74695) ^ [] : [-(model(685 ^ [], 680 ^ []))], (663 ^ _74695) ^ [] : [-(model(661 ^ [], 659 ^ []))], (672 ^ _74695) ^ [] : [model(670 ^ [], 659 ^ [])], (674 ^ _74695) ^ [] : [-(model(670 ^ [], 660 ^ []))], (677 ^ _74695) ^ [] : [model(675 ^ [], 660 ^ [])], (665 ^ _74695) ^ [_99472] : [model(_99472, 659 ^ []), -(model(_99472, 660 ^ []))], (2 ^ _74695) ^ [_74857, _74859] : [3 ^ _74695 : [(4 ^ _74695) ^ [_74963] : [model(_74963, _74859)], (7 ^ _74695) ^ [] : [-(model(5 ^ [_74857, _74859], _74857))]], -(status(_74859, _74857, unp))], (11 ^ _74695) ^ [_75178, _75180] : [status(_75180, _75178, unp), -(model(16 ^ [_75178, _75180], _75180)), 19 ^ _74695 : [(20 ^ _74695) ^ [_75442] : [model(_75442, _75178)]]], (22 ^ _74695) ^ [_75593, _75595] : [24 ^ _74695 : [(25 ^ _74695) ^ [] : [-(model(23 ^ [_75593, _75595], _75595))], (27 ^ _74695) ^ [_75793] : [model(_75793, _75593)]], -(status(_75595, _75593, sap))], (31 ^ _74695) ^ [_75910, _75912] : [status(_75912, _75910, sap), 36 ^ _74695 : [(37 ^ _74695) ^ [_76072] : [model(_76072, _75912)]], -(model(38 ^ [_75910, _75912], _75910))], (42 ^ _74695) ^ [_76321, _76323] : [-(status(_76323, _76321, esa)), 46 ^ _74695 : [(47 ^ _74695) ^ [] : [-(model(45 ^ [_76321, _76323], _76323))], (49 ^ _74695) ^ [_76564] : [model(_76564, _76321)]], 51 ^ _74695 : [(52 ^ _74695) ^ [] : [-(model(50 ^ [_76321, _76323], _76321))], (54 ^ _74695) ^ [_76745] : [model(_76745, _76323)]]], (58 ^ _74695) ^ [_76867, _76869] : [status(_76869, _76867, esa), 61 ^ _74695 : [(62 ^ _74695) ^ [] : [63 ^ _74695 : [(64 ^ _74695) ^ [_77058] : [model(_77058, _76869)]], -(model(65 ^ [_76867, _76869], _76867))], (69 ^ _74695) ^ [] : [70 ^ _74695 : [(71 ^ _74695) ^ [_77256] : [model(_77256, _76867)]], -(model(72 ^ [_76867, _76869], _76869))]]], (86 ^ _74695) ^ [_77824, _77826] : [status(_77826, _77824, sat), 90 ^ _74695 : [(91 ^ _74695) ^ [] : [-(model(89 ^ [_77824, _77826], _77826))], (93 ^ _74695) ^ [] : [-(model(89 ^ [_77824, _77826], _77824))]]], (76 ^ _74695) ^ [_77508, _77510] : [-(status(_77510, _77508, sat)), 77 ^ _74695 : [(78 ^ _74695) ^ [_77601] : [model(_77601, _77510), model(_77601, _77508)]]], (95 ^ _74695) ^ [_78212, _78214] : [97 ^ _74695 : [(98 ^ _74695) ^ [] : [-(model(96 ^ [_78212, _78214], _78214))], (100 ^ _74695) ^ [] : [model(96 ^ [_78212, _78214], _78212)]], -(status(_78214, _78212, thm))], (104 ^ _74695) ^ [_78521, _78523] : [status(_78523, _78521, thm), 107 ^ _74695 : [(108 ^ _74695) ^ [_78660] : [model(_78660, _78523), -(model(_78660, _78521))]]], (114 ^ _74695) ^ [_78916, _78918] : [-(status(_78918, _78916, eqv)), 117 ^ _74695 : [(118 ^ _74695) ^ [_79038] : [model(_79038, _78918)]], 122 ^ _74695 : [(123 ^ _74695) ^ [] : [-(model(119 ^ [_78916, _78918], _78918))], (125 ^ _74695) ^ [] : [model(119 ^ [_78916, _78918], _78916)]], 126 ^ _74695 : [(127 ^ _74695) ^ [] : [-(model(119 ^ [_78916, _78918], _78916))], (129 ^ _74695) ^ [] : [model(119 ^ [_78916, _78918], _78918)]]], (133 ^ _74695) ^ [_79511, _79513] : [status(_79513, _79511, eqv), 137 ^ _74695 : [(138 ^ _74695) ^ [] : [-(model(136 ^ [_79511, _79513], _79513))], (140 ^ _74695) ^ [_79808] : [model(_79808, _79513), -(model(_79808, _79511))], (146 ^ _74695) ^ [_79980] : [model(_79980, _79511), -(model(_79980, _79513))]]], (163 ^ _74695) ^ [_80572, _80574] : [status(_80574, _80572, tac), 167 ^ _74695 : [(168 ^ _74695) ^ [] : [-(model(166 ^ [_80572, _80574], _80574))], (170 ^ _74695) ^ [_80819] : [-(model(_80819, _80572))]]], (152 ^ _74695) ^ [_80240, _80242] : [-(status(_80242, _80240, tac)), 155 ^ _74695 : [(156 ^ _74695) ^ [_80356] : [model(_80356, _80242)]], model(157 ^ [_80240, _80242], _80240)], (193 ^ _74695) ^ [_81634, _81636] : [status(_81636, _81634, wec), 197 ^ _74695 : [(198 ^ _74695) ^ [] : [-(model(196 ^ [_81634, _81636], _81636))], (207 ^ _74695) ^ [] : [-(model(205 ^ [_81634, _81636], _81634))], (209 ^ _74695) ^ [] : [model(205 ^ [_81634, _81636], _81636)], (200 ^ _74695) ^ [_81941] : [model(_81941, _81636), -(model(_81941, _81634))]]], (172 ^ _74695) ^ [_80968, _80970] : [-(status(_80970, _80968, wec)), 175 ^ _74695 : [(176 ^ _74695) ^ [_81109] : [model(_81109, _80970)]], 180 ^ _74695 : [(181 ^ _74695) ^ [] : [-(model(179 ^ [_80968, _80970], _80970))], (183 ^ _74695) ^ [] : [model(179 ^ [_80968, _80970], _80968)]], 184 ^ _74695 : [(185 ^ _74695) ^ [_81398] : [model(_81398, _80968), -(model(_81398, _80970))]]], (211 ^ _74695) ^ [_82383, _82385] : [-(status(_82385, _82383, eth)), 214 ^ _74695 : [(215 ^ _74695) ^ [_82518] : [model(_82518, _82385)]], 218 ^ _74695 : [(219 ^ _74695) ^ [_82614] : [-(model(_82614, _82385))]], 223 ^ _74695 : [(224 ^ _74695) ^ [] : [-(model(220 ^ [_82383, _82385], _82385))], (226 ^ _74695) ^ [] : [model(220 ^ [_82383, _82385], _82383)]], 227 ^ _74695 : [(228 ^ _74695) ^ [] : [-(model(220 ^ [_82383, _82385], _82383))], (230 ^ _74695) ^ [] : [model(220 ^ [_82383, _82385], _82385)]]], (234 ^ _74695) ^ [_83092, _83094] : [status(_83094, _83092, eth), 238 ^ _74695 : [(239 ^ _74695) ^ [] : [-(model(237 ^ [_83092, _83094], _83094))], (242 ^ _74695) ^ [] : [model(240 ^ [_83092, _83094], _83094)], (244 ^ _74695) ^ [_83521] : [model(_83521, _83094), -(model(_83521, _83092))], (250 ^ _74695) ^ [_83693] : [model(_83693, _83092), -(model(_83693, _83094))]]], (267 ^ _74695) ^ [_84278, _84280] : [status(_84280, _84278, tau), 270 ^ _74695 : [(271 ^ _74695) ^ [_84422] : [-(model(_84422, _84280))], (273 ^ _74695) ^ [_84470] : [-(model(_84470, _84278))]]], (256 ^ _74695) ^ [_83955, _83957] : [-(status(_83957, _83955, tau)), model(257 ^ [_83955, _83957], _83957), model(257 ^ [_83955, _83957], _83955)], (290 ^ _74695) ^ [_85065, _85067] : [status(_85067, _85065, wtc), 294 ^ _74695 : [(295 ^ _74695) ^ [] : [-(model(293 ^ [_85065, _85067], _85067))], (298 ^ _74695) ^ [] : [model(296 ^ [_85065, _85067], _85067)], (300 ^ _74695) ^ [_85444] : [-(model(_85444, _85065))]]], (275 ^ _74695) ^ [_84619, _84621] : [-(status(_84621, _84619, wtc)), 278 ^ _74695 : [(279 ^ _74695) ^ [_84748] : [model(_84748, _84621)]], 282 ^ _74695 : [(283 ^ _74695) ^ [_84844] : [-(model(_84844, _84621))]], model(284 ^ [_84619, _84621], _84619)], (327 ^ _74695) ^ [_86375, _86377] : [status(_86377, _86375, wth), 331 ^ _74695 : [(332 ^ _74695) ^ [] : [-(model(330 ^ [_86375, _86377], _86377))], (341 ^ _74695) ^ [] : [-(model(339 ^ [_86375, _86377], _86375))], (343 ^ _74695) ^ [] : [model(339 ^ [_86375, _86377], _86377)], (346 ^ _74695) ^ [] : [model(344 ^ [_86375, _86377], _86375)], (334 ^ _74695) ^ [_86695] : [model(_86695, _86377), -(model(_86695, _86375))]]], (302 ^ _74695) ^ [_85595, _85597] : [-(status(_85597, _85595, wth)), 305 ^ _74695 : [(306 ^ _74695) ^ [_85749] : [model(_85749, _85597)]], 310 ^ _74695 : [(311 ^ _74695) ^ [] : [-(model(309 ^ [_85595, _85597], _85597))], (313 ^ _74695) ^ [] : [model(309 ^ [_85595, _85597], _85595)]], 322 ^ _74695 : [(323 ^ _74695) ^ [_86245] : [-(model(_86245, _85595))]], 316 ^ _74695 : [(317 ^ _74695) ^ [_86072] : [model(_86072, _85595), -(model(_86072, _85597))]]], (348 ^ _74695) ^ [_87262, _87264] : [-(model(349 ^ [_87262, _87264], _87264)), -(status(_87264, _87262, cax))], (355 ^ _74695) ^ [_87486, _87488] : [status(_87488, _87486, cax), 358 ^ _74695 : [(359 ^ _74695) ^ [_87605] : [model(_87605, _87488)]]], (372 ^ _74695) ^ [_88087, _88089] : [status(_88089, _88087, sca), 375 ^ _74695 : [(376 ^ _74695) ^ [_88237] : [model(_88237, _88089)], (379 ^ _74695) ^ [] : [-(model(377 ^ [_88087, _88089], _88087))]]], (361 ^ _74695) ^ [_87752, _87754] : [-(status(_87754, _87752, sca)), -(model(364 ^ [_87752, _87754], _87754)), 367 ^ _74695 : [(368 ^ _74695) ^ [_87968] : [model(_87968, _87752)]]], (393 ^ _74695) ^ [_88854, _88856] : [status(_88856, _88854, tca), 396 ^ _74695 : [(397 ^ _74695) ^ [_89004] : [model(_89004, _88856)], (399 ^ _74695) ^ [_89066] : [-(model(_89066, _88854))]]], (381 ^ _74695) ^ [_88484, _88486] : [-(status(_88486, _88484, tca)), -(model(384 ^ [_88484, _88486], _88486)), model(387 ^ [_88484, _88486], _88484)], (416 ^ _74695) ^ [_89664, _89666] : [status(_89666, _89664, wca), 419 ^ _74695 : [(420 ^ _74695) ^ [_89827] : [model(_89827, _89666)], (423 ^ _74695) ^ [] : [-(model(421 ^ [_89664, _89666], _89664))], (426 ^ _74695) ^ [] : [model(424 ^ [_89664, _89666], _89664)]]], (401 ^ _74695) ^ [_89215, _89217] : [-(status(_89217, _89215, wca)), -(model(404 ^ [_89215, _89217], _89217)), 409 ^ _74695 : [(410 ^ _74695) ^ [_89478] : [model(_89478, _89215)]], 411 ^ _74695 : [(412 ^ _74695) ^ [_89540] : [-(model(_89540, _89215))]]], (438 ^ _74695) ^ [_90517, _90519] : [status(_90519, _90517, csa), 442 ^ _74695 : [(443 ^ _74695) ^ [] : [-(model(441 ^ [_90517, _90519], _90519))], (445 ^ _74695) ^ [] : [-(model(441 ^ [_90517, _90519], not _90517))]]], (428 ^ _74695) ^ [_90195, _90197] : [-(status(_90197, _90195, csa)), 429 ^ _74695 : [(430 ^ _74695) ^ [_90290] : [model(_90290, _90197), model(_90290, not _90195)]]], (459 ^ _74695) ^ [_91284, _91286] : [status(_91286, _91284, uns), 462 ^ _74695 : [(463 ^ _74695) ^ [_91435] : [-(model(_91435, _91286))], (465 ^ _74695) ^ [_91497] : [-(model(_91497, not _91284))]]], (447 ^ _74695) ^ [_90911, _90913] : [-(status(_90913, _90911, uns)), model(450 ^ [_90911, _90913], _90913), model(453 ^ [_90911, _90913], not _90911)], (485 ^ _74695) ^ [_92191, _92193] : [status(_92193, _92191, noc), 489 ^ _74695 : [(490 ^ _74695) ^ [] : [-(model(488 ^ [_92191, _92193], _92193))], (492 ^ _74695) ^ [] : [-(model(488 ^ [_92191, _92193], _92191))], (495 ^ _74695) ^ [] : [-(model(493 ^ [_92191, _92193], _92193))], (497 ^ _74695) ^ [] : [-(model(493 ^ [_92191, _92193], not _92191))]]], (467 ^ _74695) ^ [_91628, _91630] : [-(status(_91630, _91628, noc)), 470 ^ _74695 : [(471 ^ _74695) ^ [_91774] : [model(_91774, _91630), model(_91774, _91628)]], 476 ^ _74695 : [(477 ^ _74695) ^ [_91959] : [model(_91959, _91630), model(_91959, not _91628)]]]], input).
% 0.78/1.39  ncf('1',plain,[mighta(tau, thm)],start(689 ^ 0)).
% 0.78/1.39  ncf('1.1',plain,[-(mighta(tau, thm)), 501 : status(632 ^ [], 632 ^ [], tau), 501 : status(632 ^ [], 632 ^ [], thm)],extension(499 ^ 1,bind([[_92941, _92943, _93054, _93056], [thm, tau, 632 ^ [], 632 ^ []]]))).
% 0.78/1.39  ncf('1.1.1',plain,[-(status(632 ^ [], 632 ^ [], tau)), model(257 ^ [632 ^ [], 632 ^ []], 632 ^ []), model(257 ^ [632 ^ [], 632 ^ []], 632 ^ [])],extension(256 ^ 4,bind([[_83955, _83957], [632 ^ [], 632 ^ []]]))).
% 0.78/1.39  ncf('1.1.1.1',plain,[-(model(257 ^ [632 ^ [], 632 ^ []], 632 ^ []))],extension(634 ^ 5,bind([[_98260], [257 ^ [632 ^ [], 632 ^ []]]]))).
% 0.78/1.39  ncf('1.1.1.2',plain,[-(model(257 ^ [632 ^ [], 632 ^ []], 632 ^ []))],extension(634 ^ 5,bind([[_98260], [257 ^ [632 ^ [], 632 ^ []]]]))).
% 0.78/1.39  ncf('1.1.2',plain,[-(status(632 ^ [], 632 ^ [], thm)), 98 : -(model(96 ^ [632 ^ [], 632 ^ []], 632 ^ []))],extension(95 ^ 4,bind([[_78212, _78214], [632 ^ [], 632 ^ []]]))).
% 0.78/1.39  ncf('1.1.2.1',plain,[model(96 ^ [632 ^ [], 632 ^ []], 632 ^ [])],extension(100 ^ 7)).
% 0.78/1.39  %-----------------------------------------------------
% 0.78/1.39  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------