TSTP Solution File: KRS261+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS261+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n015.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 0.74s 1.37s
% Output   : Proof 0.74s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KRS261+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n015.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 23:22:52 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.74/1.37  
% 0.74/1.37  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.74/1.37  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.74/1.37  %-----------------------------------------------------
% 0.74/1.37  ncf(matrix, plain, [(689 ^ _76923) ^ [] : [mighta(eth, thm)], (509 ^ _76923) ^ [_95514, _95516] : [mighta(_95516, _95514), 514 ^ _76923 : [(515 ^ _76923) ^ [] : [-(status(512 ^ [_95514, _95516], 513 ^ [_95514, _95516], _95516))], (517 ^ _76923) ^ [] : [-(status(512 ^ [_95514, _95516], 513 ^ [_95514, _95516], _95514))]]], (499 ^ _76923) ^ [_95169, _95171] : [-(mighta(_95171, _95169)), 500 ^ _76923 : [(501 ^ _76923) ^ [_95282, _95284] : [status(_95284, _95282, _95171), status(_95284, _95282, _95169)]]], (519 ^ _76923) ^ [_95997, _95999] : [522 ^ _76923 : [(523 ^ _76923) ^ [] : [-(status(520 ^ [_95997, _95999], 521 ^ [_95997, _95999], _95999))], (525 ^ _76923) ^ [] : [status(520 ^ [_95997, _95999], 521 ^ [_95997, _95999], _95997)]], -(isa(_95999, _95997))], (529 ^ _76923) ^ [_96401, _96403] : [isa(_96403, _96401), 532 ^ _76923 : [(533 ^ _76923) ^ [_96559, _96561] : [status(_96561, _96559, _96403), -(status(_96561, _96559, _96401))]]], (549 ^ _76923) ^ [_97175, _97177] : [nota(_97177, _97175), 554 ^ _76923 : [(555 ^ _76923) ^ [] : [-(status(552 ^ [_97175, _97177], 553 ^ [_97175, _97177], _97177))], (557 ^ _76923) ^ [] : [status(552 ^ [_97175, _97177], 553 ^ [_97175, _97177], _97175)]]], (539 ^ _76923) ^ [_96825, _96827] : [-(nota(_96827, _96825)), 540 ^ _76923 : [(541 ^ _76923) ^ [_96940, _96942] : [status(_96942, _96940, _96827), -(status(_96942, _96940, _96825))]]], (559 ^ _76923) ^ [_97663, _97665] : [562 ^ _76923 : [(563 ^ _76923) ^ [] : [-(status(560 ^ [_97663, _97665], 561 ^ [_97663, _97665], _97665))], (565 ^ _76923) ^ [] : [-(status(560 ^ [_97663, _97665], 561 ^ [_97663, _97665], _97663))]], -(nevera(_97665, _97663))], (569 ^ _76923) ^ [_98074, _98076] : [nevera(_98076, _98074), 572 ^ _76923 : [(573 ^ _76923) ^ [_98234, _98236] : [status(_98236, _98234, _98076), status(_98236, _98234, _98074)]]], (597 ^ _76923) ^ [_99117, _99119] : [xora(_99119, _99117), 600 ^ _76923 : [(601 ^ _76923) ^ [_99286, _99288] : [602 ^ _76923 : [(603 ^ _76923) ^ [] : [-(status(_99288, _99286, _99119))], (605 ^ _76923) ^ [] : [status(_99288, _99286, _99117)]], 606 ^ _76923 : [(607 ^ _76923) ^ [] : [-(status(_99288, _99286, _99117))], (609 ^ _76923) ^ [] : [status(_99288, _99286, _99119)]]]]], (579 ^ _76923) ^ [_98501, _98503] : [-(xora(_98503, _98501)), 582 ^ _76923 : [(583 ^ _76923) ^ [] : [status(580 ^ [_98501, _98503], 581 ^ [_98501, _98503], _98503), -(status(580 ^ [_98501, _98503], 581 ^ [_98501, _98503], _98501))], (589 ^ _76923) ^ [] : [status(580 ^ [_98501, _98503], 581 ^ [_98501, _98503], _98501), -(status(580 ^ [_98501, _98503], 581 ^ [_98501, _98503], _98503))]]], (611 ^ _76923) ^ [_99693, _99695] : [612 ^ _76923 : [(613 ^ _76923) ^ [] : [-(model(_99695, _99693))], (615 ^ _76923) ^ [] : [model(_99695, not _99693)]], 616 ^ _76923 : [(617 ^ _76923) ^ [] : [-(model(_99695, not _99693))], (619 ^ _76923) ^ [] : [model(_99695, _99693)]]], (621 ^ _76923) ^ [_100089, _100091] : [model(_100091, _100089), model(_100091, not _100089)], (627 ^ _76923) ^ [_100256, _100258] : [-(model(_100258, not _100256)), -(model(_100258, _100256))], (634 ^ _76923) ^ [_100488] : [-(model(_100488, 632 ^ []))], (638 ^ _76923) ^ [] : [-(model(636 ^ [], 635 ^ []))], (641 ^ _76923) ^ [] : [model(639 ^ [], 635 ^ [])], (644 ^ _76923) ^ [_100847] : [model(_100847, 642 ^ [])], (649 ^ _76923) ^ [] : [-(model(647 ^ [], 645 ^ []))], (651 ^ _76923) ^ [] : [-(model(647 ^ [], 646 ^ []))], (654 ^ _76923) ^ [] : [model(652 ^ [], 645 ^ []), model(652 ^ [], 646 ^ [])], (682 ^ _76923) ^ [] : [-(model(678 ^ [], 679 ^ []))], (684 ^ _76923) ^ [] : [model(678 ^ [], 680 ^ [])], (687 ^ _76923) ^ [] : [-(model(685 ^ [], 680 ^ []))], (663 ^ _76923) ^ [] : [-(model(661 ^ [], 659 ^ []))], (672 ^ _76923) ^ [] : [model(670 ^ [], 659 ^ [])], (674 ^ _76923) ^ [] : [-(model(670 ^ [], 660 ^ []))], (677 ^ _76923) ^ [] : [model(675 ^ [], 660 ^ [])], (665 ^ _76923) ^ [_101700] : [model(_101700, 659 ^ []), -(model(_101700, 660 ^ []))], (2 ^ _76923) ^ [_77085, _77087] : [3 ^ _76923 : [(4 ^ _76923) ^ [_77191] : [model(_77191, _77087)], (7 ^ _76923) ^ [] : [-(model(5 ^ [_77085, _77087], _77085))]], -(status(_77087, _77085, unp))], (11 ^ _76923) ^ [_77406, _77408] : [status(_77408, _77406, unp), -(model(16 ^ [_77406, _77408], _77408)), 19 ^ _76923 : [(20 ^ _76923) ^ [_77670] : [model(_77670, _77406)]]], (22 ^ _76923) ^ [_77821, _77823] : [24 ^ _76923 : [(25 ^ _76923) ^ [] : [-(model(23 ^ [_77821, _77823], _77823))], (27 ^ _76923) ^ [_78021] : [model(_78021, _77821)]], -(status(_77823, _77821, sap))], (31 ^ _76923) ^ [_78138, _78140] : [status(_78140, _78138, sap), 36 ^ _76923 : [(37 ^ _76923) ^ [_78300] : [model(_78300, _78140)]], -(model(38 ^ [_78138, _78140], _78138))], (42 ^ _76923) ^ [_78549, _78551] : [-(status(_78551, _78549, esa)), 46 ^ _76923 : [(47 ^ _76923) ^ [] : [-(model(45 ^ [_78549, _78551], _78551))], (49 ^ _76923) ^ [_78792] : [model(_78792, _78549)]], 51 ^ _76923 : [(52 ^ _76923) ^ [] : [-(model(50 ^ [_78549, _78551], _78549))], (54 ^ _76923) ^ [_78973] : [model(_78973, _78551)]]], (58 ^ _76923) ^ [_79095, _79097] : [status(_79097, _79095, esa), 61 ^ _76923 : [(62 ^ _76923) ^ [] : [63 ^ _76923 : [(64 ^ _76923) ^ [_79286] : [model(_79286, _79097)]], -(model(65 ^ [_79095, _79097], _79095))], (69 ^ _76923) ^ [] : [70 ^ _76923 : [(71 ^ _76923) ^ [_79484] : [model(_79484, _79095)]], -(model(72 ^ [_79095, _79097], _79097))]]], (86 ^ _76923) ^ [_80052, _80054] : [status(_80054, _80052, sat), 90 ^ _76923 : [(91 ^ _76923) ^ [] : [-(model(89 ^ [_80052, _80054], _80054))], (93 ^ _76923) ^ [] : [-(model(89 ^ [_80052, _80054], _80052))]]], (76 ^ _76923) ^ [_79736, _79738] : [-(status(_79738, _79736, sat)), 77 ^ _76923 : [(78 ^ _76923) ^ [_79829] : [model(_79829, _79738), model(_79829, _79736)]]], (95 ^ _76923) ^ [_80440, _80442] : [97 ^ _76923 : [(98 ^ _76923) ^ [] : [-(model(96 ^ [_80440, _80442], _80442))], (100 ^ _76923) ^ [] : [model(96 ^ [_80440, _80442], _80440)]], -(status(_80442, _80440, thm))], (104 ^ _76923) ^ [_80749, _80751] : [status(_80751, _80749, thm), 107 ^ _76923 : [(108 ^ _76923) ^ [_80888] : [model(_80888, _80751), -(model(_80888, _80749))]]], (114 ^ _76923) ^ [_81144, _81146] : [-(status(_81146, _81144, eqv)), 117 ^ _76923 : [(118 ^ _76923) ^ [_81266] : [model(_81266, _81146)]], 122 ^ _76923 : [(123 ^ _76923) ^ [] : [-(model(119 ^ [_81144, _81146], _81146))], (125 ^ _76923) ^ [] : [model(119 ^ [_81144, _81146], _81144)]], 126 ^ _76923 : [(127 ^ _76923) ^ [] : [-(model(119 ^ [_81144, _81146], _81144))], (129 ^ _76923) ^ [] : [model(119 ^ [_81144, _81146], _81146)]]], (133 ^ _76923) ^ [_81739, _81741] : [status(_81741, _81739, eqv), 137 ^ _76923 : [(138 ^ _76923) ^ [] : [-(model(136 ^ [_81739, _81741], _81741))], (140 ^ _76923) ^ [_82036] : [model(_82036, _81741), -(model(_82036, _81739))], (146 ^ _76923) ^ [_82208] : [model(_82208, _81739), -(model(_82208, _81741))]]], (163 ^ _76923) ^ [_82800, _82802] : [status(_82802, _82800, tac), 167 ^ _76923 : [(168 ^ _76923) ^ [] : [-(model(166 ^ [_82800, _82802], _82802))], (170 ^ _76923) ^ [_83047] : [-(model(_83047, _82800))]]], (152 ^ _76923) ^ [_82468, _82470] : [-(status(_82470, _82468, tac)), 155 ^ _76923 : [(156 ^ _76923) ^ [_82584] : [model(_82584, _82470)]], model(157 ^ [_82468, _82470], _82468)], (193 ^ _76923) ^ [_83862, _83864] : [status(_83864, _83862, wec), 197 ^ _76923 : [(198 ^ _76923) ^ [] : [-(model(196 ^ [_83862, _83864], _83864))], (207 ^ _76923) ^ [] : [-(model(205 ^ [_83862, _83864], _83862))], (209 ^ _76923) ^ [] : [model(205 ^ [_83862, _83864], _83864)], (200 ^ _76923) ^ [_84169] : [model(_84169, _83864), -(model(_84169, _83862))]]], (172 ^ _76923) ^ [_83196, _83198] : [-(status(_83198, _83196, wec)), 175 ^ _76923 : [(176 ^ _76923) ^ [_83337] : [model(_83337, _83198)]], 180 ^ _76923 : [(181 ^ _76923) ^ [] : [-(model(179 ^ [_83196, _83198], _83198))], (183 ^ _76923) ^ [] : [model(179 ^ [_83196, _83198], _83196)]], 184 ^ _76923 : [(185 ^ _76923) ^ [_83626] : [model(_83626, _83196), -(model(_83626, _83198))]]], (211 ^ _76923) ^ [_84611, _84613] : [-(status(_84613, _84611, eth)), 214 ^ _76923 : [(215 ^ _76923) ^ [_84746] : [model(_84746, _84613)]], 218 ^ _76923 : [(219 ^ _76923) ^ [_84842] : [-(model(_84842, _84613))]], 223 ^ _76923 : [(224 ^ _76923) ^ [] : [-(model(220 ^ [_84611, _84613], _84613))], (226 ^ _76923) ^ [] : [model(220 ^ [_84611, _84613], _84611)]], 227 ^ _76923 : [(228 ^ _76923) ^ [] : [-(model(220 ^ [_84611, _84613], _84611))], (230 ^ _76923) ^ [] : [model(220 ^ [_84611, _84613], _84613)]]], (234 ^ _76923) ^ [_85320, _85322] : [status(_85322, _85320, eth), 238 ^ _76923 : [(239 ^ _76923) ^ [] : [-(model(237 ^ [_85320, _85322], _85322))], (242 ^ _76923) ^ [] : [model(240 ^ [_85320, _85322], _85322)], (244 ^ _76923) ^ [_85749] : [model(_85749, _85322), -(model(_85749, _85320))], (250 ^ _76923) ^ [_85921] : [model(_85921, _85320), -(model(_85921, _85322))]]], (267 ^ _76923) ^ [_86506, _86508] : [status(_86508, _86506, tau), 270 ^ _76923 : [(271 ^ _76923) ^ [_86650] : [-(model(_86650, _86508))], (273 ^ _76923) ^ [_86698] : [-(model(_86698, _86506))]]], (256 ^ _76923) ^ [_86183, _86185] : [-(status(_86185, _86183, tau)), model(257 ^ [_86183, _86185], _86185), model(257 ^ [_86183, _86185], _86183)], (290 ^ _76923) ^ [_87293, _87295] : [status(_87295, _87293, wtc), 294 ^ _76923 : [(295 ^ _76923) ^ [] : [-(model(293 ^ [_87293, _87295], _87295))], (298 ^ _76923) ^ [] : [model(296 ^ [_87293, _87295], _87295)], (300 ^ _76923) ^ [_87672] : [-(model(_87672, _87293))]]], (275 ^ _76923) ^ [_86847, _86849] : [-(status(_86849, _86847, wtc)), 278 ^ _76923 : [(279 ^ _76923) ^ [_86976] : [model(_86976, _86849)]], 282 ^ _76923 : [(283 ^ _76923) ^ [_87072] : [-(model(_87072, _86849))]], model(284 ^ [_86847, _86849], _86847)], (327 ^ _76923) ^ [_88603, _88605] : [status(_88605, _88603, wth), 331 ^ _76923 : [(332 ^ _76923) ^ [] : [-(model(330 ^ [_88603, _88605], _88605))], (341 ^ _76923) ^ [] : [-(model(339 ^ [_88603, _88605], _88603))], (343 ^ _76923) ^ [] : [model(339 ^ [_88603, _88605], _88605)], (346 ^ _76923) ^ [] : [model(344 ^ [_88603, _88605], _88603)], (334 ^ _76923) ^ [_88923] : [model(_88923, _88605), -(model(_88923, _88603))]]], (302 ^ _76923) ^ [_87823, _87825] : [-(status(_87825, _87823, wth)), 305 ^ _76923 : [(306 ^ _76923) ^ [_87977] : [model(_87977, _87825)]], 310 ^ _76923 : [(311 ^ _76923) ^ [] : [-(model(309 ^ [_87823, _87825], _87825))], (313 ^ _76923) ^ [] : [model(309 ^ [_87823, _87825], _87823)]], 322 ^ _76923 : [(323 ^ _76923) ^ [_88473] : [-(model(_88473, _87823))]], 316 ^ _76923 : [(317 ^ _76923) ^ [_88300] : [model(_88300, _87823), -(model(_88300, _87825))]]], (348 ^ _76923) ^ [_89490, _89492] : [-(model(349 ^ [_89490, _89492], _89492)), -(status(_89492, _89490, cax))], (355 ^ _76923) ^ [_89714, _89716] : [status(_89716, _89714, cax), 358 ^ _76923 : [(359 ^ _76923) ^ [_89833] : [model(_89833, _89716)]]], (372 ^ _76923) ^ [_90315, _90317] : [status(_90317, _90315, sca), 375 ^ _76923 : [(376 ^ _76923) ^ [_90465] : [model(_90465, _90317)], (379 ^ _76923) ^ [] : [-(model(377 ^ [_90315, _90317], _90315))]]], (361 ^ _76923) ^ [_89980, _89982] : [-(status(_89982, _89980, sca)), -(model(364 ^ [_89980, _89982], _89982)), 367 ^ _76923 : [(368 ^ _76923) ^ [_90196] : [model(_90196, _89980)]]], (393 ^ _76923) ^ [_91082, _91084] : [status(_91084, _91082, tca), 396 ^ _76923 : [(397 ^ _76923) ^ [_91232] : [model(_91232, _91084)], (399 ^ _76923) ^ [_91294] : [-(model(_91294, _91082))]]], (381 ^ _76923) ^ [_90712, _90714] : [-(status(_90714, _90712, tca)), -(model(384 ^ [_90712, _90714], _90714)), model(387 ^ [_90712, _90714], _90712)], (416 ^ _76923) ^ [_91892, _91894] : [status(_91894, _91892, wca), 419 ^ _76923 : [(420 ^ _76923) ^ [_92055] : [model(_92055, _91894)], (423 ^ _76923) ^ [] : [-(model(421 ^ [_91892, _91894], _91892))], (426 ^ _76923) ^ [] : [model(424 ^ [_91892, _91894], _91892)]]], (401 ^ _76923) ^ [_91443, _91445] : [-(status(_91445, _91443, wca)), -(model(404 ^ [_91443, _91445], _91445)), 409 ^ _76923 : [(410 ^ _76923) ^ [_91706] : [model(_91706, _91443)]], 411 ^ _76923 : [(412 ^ _76923) ^ [_91768] : [-(model(_91768, _91443))]]], (438 ^ _76923) ^ [_92745, _92747] : [status(_92747, _92745, csa), 442 ^ _76923 : [(443 ^ _76923) ^ [] : [-(model(441 ^ [_92745, _92747], _92747))], (445 ^ _76923) ^ [] : [-(model(441 ^ [_92745, _92747], not _92745))]]], (428 ^ _76923) ^ [_92423, _92425] : [-(status(_92425, _92423, csa)), 429 ^ _76923 : [(430 ^ _76923) ^ [_92518] : [model(_92518, _92425), model(_92518, not _92423)]]], (459 ^ _76923) ^ [_93512, _93514] : [status(_93514, _93512, uns), 462 ^ _76923 : [(463 ^ _76923) ^ [_93663] : [-(model(_93663, _93514))], (465 ^ _76923) ^ [_93725] : [-(model(_93725, not _93512))]]], (447 ^ _76923) ^ [_93139, _93141] : [-(status(_93141, _93139, uns)), model(450 ^ [_93139, _93141], _93141), model(453 ^ [_93139, _93141], not _93139)], (485 ^ _76923) ^ [_94419, _94421] : [status(_94421, _94419, noc), 489 ^ _76923 : [(490 ^ _76923) ^ [] : [-(model(488 ^ [_94419, _94421], _94421))], (492 ^ _76923) ^ [] : [-(model(488 ^ [_94419, _94421], _94419))], (495 ^ _76923) ^ [] : [-(model(493 ^ [_94419, _94421], _94421))], (497 ^ _76923) ^ [] : [-(model(493 ^ [_94419, _94421], not _94419))]]], (467 ^ _76923) ^ [_93856, _93858] : [-(status(_93858, _93856, noc)), 470 ^ _76923 : [(471 ^ _76923) ^ [_94002] : [model(_94002, _93858), model(_94002, _93856)]], 476 ^ _76923 : [(477 ^ _76923) ^ [_94187] : [model(_94187, _93858), model(_94187, not _93856)]]]], input).
% 0.74/1.37  ncf('1',plain,[mighta(eth, thm)],start(689 ^ 0)).
% 0.74/1.37  ncf('1.1',plain,[-(mighta(eth, thm)), 501 : status(not 635 ^ [], not 635 ^ [], eth), 501 : status(not 635 ^ [], not 635 ^ [], thm)],extension(499 ^ 1,bind([[_95169, _95171, _95282, _95284], [thm, eth, not 635 ^ [], not 635 ^ []]]))).
% 0.74/1.37  ncf('1.1.1',plain,[-(status(not 635 ^ [], not 635 ^ [], eth)), 215 : model(639 ^ [], not 635 ^ []), 219 : -(model(636 ^ [], not 635 ^ [])), 224 : -(model(220 ^ [not 635 ^ [], not 635 ^ []], not 635 ^ [])), 228 : -(model(220 ^ [not 635 ^ [], not 635 ^ []], not 635 ^ []))],extension(211 ^ 4,bind([[_84611, _84613, _84746, _84842], [not 635 ^ [], not 635 ^ [], 639 ^ [], 636 ^ []]]))).
% 0.74/1.37  ncf('1.1.1.1',plain,[-(model(639 ^ [], not 635 ^ [])), 613 : -(model(639 ^ [], 635 ^ []))],extension(611 ^ 7,bind([[_99693, _99695], [635 ^ [], 639 ^ []]]))).
% 0.74/1.37  ncf('1.1.1.1.1',plain,[model(639 ^ [], 635 ^ [])],extension(641 ^ 10)).
% 0.74/1.37  ncf('1.1.1.2',plain,[model(636 ^ [], not 635 ^ []), 619 : model(636 ^ [], 635 ^ [])],extension(611 ^ 7,bind([[_99693, _99695], [635 ^ [], 636 ^ []]]))).
% 0.74/1.37  ncf('1.1.1.2.1',plain,[-(model(636 ^ [], 635 ^ []))],extension(638 ^ 10)).
% 0.74/1.37  ncf('1.1.1.3',plain,[model(220 ^ [not 635 ^ [], not 635 ^ []], not 635 ^ [])],extension(226 ^ 7)).
% 0.74/1.37  ncf('1.1.1.4',plain,[model(220 ^ [not 635 ^ [], not 635 ^ []], not 635 ^ [])],extension(230 ^ 7)).
% 0.74/1.37  ncf('1.1.2',plain,[-(status(not 635 ^ [], not 635 ^ [], thm)), 98 : -(model(96 ^ [not 635 ^ [], not 635 ^ []], not 635 ^ []))],extension(95 ^ 4,bind([[_80440, _80442], [not 635 ^ [], not 635 ^ []]]))).
% 0.74/1.37  ncf('1.1.2.1',plain,[model(96 ^ [not 635 ^ [], not 635 ^ []], not 635 ^ [])],extension(100 ^ 7)).
% 0.74/1.37  %-----------------------------------------------------
% 0.74/1.37  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------