%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS193+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n010.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 11:26:28 EDT 2023

% Result   : Theorem 0.58s 1.38s
% Output   : Proof 0.58s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : KRS193+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.04/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n010.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % 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 22:53:42 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.58/1.38  
% 0.58/1.38  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 0.58/1.38  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/1.38  %-----------------------------------------------------
% 0.58/1.38  ncf(matrix, plain, [(689 ^ _74112) ^ [] : [isa(cax, thm)], (509 ^ _74112) ^ [_92703, _92705] : [mighta(_92705, _92703), 514 ^ _74112 : [(515 ^ _74112) ^ [] : [-(status(512 ^ [_92703, _92705], 513 ^ [_92703, _92705], _92705))], (517 ^ _74112) ^ [] : [-(status(512 ^ [_92703, _92705], 513 ^ [_92703, _92705], _92703))]]], (499 ^ _74112) ^ [_92358, _92360] : [-(mighta(_92360, _92358)), 500 ^ _74112 : [(501 ^ _74112) ^ [_92471, _92473] : [status(_92473, _92471, _92360), status(_92473, _92471, _92358)]]], (519 ^ _74112) ^ [_93186, _93188] : [522 ^ _74112 : [(523 ^ _74112) ^ [] : [-(status(520 ^ [_93186, _93188], 521 ^ [_93186, _93188], _93188))], (525 ^ _74112) ^ [] : [status(520 ^ [_93186, _93188], 521 ^ [_93186, _93188], _93186)]], -(isa(_93188, _93186))], (529 ^ _74112) ^ [_93590, _93592] : [isa(_93592, _93590), 532 ^ _74112 : [(533 ^ _74112) ^ [_93748, _93750] : [status(_93750, _93748, _93592), -(status(_93750, _93748, _93590))]]], (549 ^ _74112) ^ [_94364, _94366] : [nota(_94366, _94364), 554 ^ _74112 : [(555 ^ _74112) ^ [] : [-(status(552 ^ [_94364, _94366], 553 ^ [_94364, _94366], _94366))], (557 ^ _74112) ^ [] : [status(552 ^ [_94364, _94366], 553 ^ [_94364, _94366], _94364)]]], (539 ^ _74112) ^ [_94014, _94016] : [-(nota(_94016, _94014)), 540 ^ _74112 : [(541 ^ _74112) ^ [_94129, _94131] : [status(_94131, _94129, _94016), -(status(_94131, _94129, _94014))]]], (559 ^ _74112) ^ [_94852, _94854] : [562 ^ _74112 : [(563 ^ _74112) ^ [] : [-(status(560 ^ [_94852, _94854], 561 ^ [_94852, _94854], _94854))], (565 ^ _74112) ^ [] : [-(status(560 ^ [_94852, _94854], 561 ^ [_94852, _94854], _94852))]], -(nevera(_94854, _94852))], (569 ^ _74112) ^ [_95263, _95265] : [nevera(_95265, _95263), 572 ^ _74112 : [(573 ^ _74112) ^ [_95423, _95425] : [status(_95425, _95423, _95265), status(_95425, _95423, _95263)]]], (597 ^ _74112) ^ [_96306, _96308] : [xora(_96308, _96306), 600 ^ _74112 : [(601 ^ _74112) ^ [_96475, _96477] : [602 ^ _74112 : [(603 ^ _74112) ^ [] : [-(status(_96477, _96475, _96308))], (605 ^ _74112) ^ [] : [status(_96477, _96475, _96306)]], 606 ^ _74112 : [(607 ^ _74112) ^ [] : [-(status(_96477, _96475, _96306))], (609 ^ _74112) ^ [] : [status(_96477, _96475, _96308)]]]]], (579 ^ _74112) ^ [_95690, _95692] : [-(xora(_95692, _95690)), 582 ^ _74112 : [(583 ^ _74112) ^ [] : [status(580 ^ [_95690, _95692], 581 ^ [_95690, _95692], _95692), -(status(580 ^ [_95690, _95692], 581 ^ [_95690, _95692], _95690))], (589 ^ _74112) ^ [] : [status(580 ^ [_95690, _95692], 581 ^ [_95690, _95692], _95690), -(status(580 ^ [_95690, _95692], 581 ^ [_95690, _95692], _95692))]]], (611 ^ _74112) ^ [_96882, _96884] : [612 ^ _74112 : [(613 ^ _74112) ^ [] : [-(model(_96884, _96882))], (615 ^ _74112) ^ [] : [model(_96884, not _96882)]], 616 ^ _74112 : [(617 ^ _74112) ^ [] : [-(model(_96884, not _96882))], (619 ^ _74112) ^ [] : [model(_96884, _96882)]]], (621 ^ _74112) ^ [_97278, _97280] : [model(_97280, _97278), model(_97280, not _97278)], (627 ^ _74112) ^ [_97445, _97447] : [-(model(_97447, not _97445)), -(model(_97447, _97445))], (634 ^ _74112) ^ [_97677] : [-(model(_97677, 632 ^ []))], (638 ^ _74112) ^ [] : [-(model(636 ^ [], 635 ^ []))], (641 ^ _74112) ^ [] : [model(639 ^ [], 635 ^ [])], (644 ^ _74112) ^ [_98036] : [model(_98036, 642 ^ [])], (649 ^ _74112) ^ [] : [-(model(647 ^ [], 645 ^ []))], (651 ^ _74112) ^ [] : [-(model(647 ^ [], 646 ^ []))], (654 ^ _74112) ^ [] : [model(652 ^ [], 645 ^ []), model(652 ^ [], 646 ^ [])], (682 ^ _74112) ^ [] : [-(model(678 ^ [], 679 ^ []))], (684 ^ _74112) ^ [] : [model(678 ^ [], 680 ^ [])], (687 ^ _74112) ^ [] : [-(model(685 ^ [], 680 ^ []))], (663 ^ _74112) ^ [] : [-(model(661 ^ [], 659 ^ []))], (672 ^ _74112) ^ [] : [model(670 ^ [], 659 ^ [])], (674 ^ _74112) ^ [] : [-(model(670 ^ [], 660 ^ []))], (677 ^ _74112) ^ [] : [model(675 ^ [], 660 ^ [])], (665 ^ _74112) ^ [_98889] : [model(_98889, 659 ^ []), -(model(_98889, 660 ^ []))], (2 ^ _74112) ^ [_74274, _74276] : [3 ^ _74112 : [(4 ^ _74112) ^ [_74380] : [model(_74380, _74276)], (7 ^ _74112) ^ [] : [-(model(5 ^ [_74274, _74276], _74274))]], -(status(_74276, _74274, unp))], (11 ^ _74112) ^ [_74595, _74597] : [status(_74597, _74595, unp), -(model(16 ^ [_74595, _74597], _74597)), 19 ^ _74112 : [(20 ^ _74112) ^ [_74859] : [model(_74859, _74595)]]], (22 ^ _74112) ^ [_75010, _75012] : [24 ^ _74112 : [(25 ^ _74112) ^ [] : [-(model(23 ^ [_75010, _75012], _75012))], (27 ^ _74112) ^ [_75210] : [model(_75210, _75010)]], -(status(_75012, _75010, sap))], (31 ^ _74112) ^ [_75327, _75329] : [status(_75329, _75327, sap), 36 ^ _74112 : [(37 ^ _74112) ^ [_75489] : [model(_75489, _75329)]], -(model(38 ^ [_75327, _75329], _75327))], (42 ^ _74112) ^ [_75738, _75740] : [-(status(_75740, _75738, esa)), 46 ^ _74112 : [(47 ^ _74112) ^ [] : [-(model(45 ^ [_75738, _75740], _75740))], (49 ^ _74112) ^ [_75981] : [model(_75981, _75738)]], 51 ^ _74112 : [(52 ^ _74112) ^ [] : [-(model(50 ^ [_75738, _75740], _75738))], (54 ^ _74112) ^ [_76162] : [model(_76162, _75740)]]], (58 ^ _74112) ^ [_76284, _76286] : [status(_76286, _76284, esa), 61 ^ _74112 : [(62 ^ _74112) ^ [] : [63 ^ _74112 : [(64 ^ _74112) ^ [_76475] : [model(_76475, _76286)]], -(model(65 ^ [_76284, _76286], _76284))], (69 ^ _74112) ^ [] : [70 ^ _74112 : [(71 ^ _74112) ^ [_76673] : [model(_76673, _76284)]], -(model(72 ^ [_76284, _76286], _76286))]]], (86 ^ _74112) ^ [_77241, _77243] : [status(_77243, _77241, sat), 90 ^ _74112 : [(91 ^ _74112) ^ [] : [-(model(89 ^ [_77241, _77243], _77243))], (93 ^ _74112) ^ [] : [-(model(89 ^ [_77241, _77243], _77241))]]], (76 ^ _74112) ^ [_76925, _76927] : [-(status(_76927, _76925, sat)), 77 ^ _74112 : [(78 ^ _74112) ^ [_77018] : [model(_77018, _76927), model(_77018, _76925)]]], (95 ^ _74112) ^ [_77629, _77631] : [97 ^ _74112 : [(98 ^ _74112) ^ [] : [-(model(96 ^ [_77629, _77631], _77631))], (100 ^ _74112) ^ [] : [model(96 ^ [_77629, _77631], _77629)]], -(status(_77631, _77629, thm))], (104 ^ _74112) ^ [_77938, _77940] : [status(_77940, _77938, thm), 107 ^ _74112 : [(108 ^ _74112) ^ [_78077] : [model(_78077, _77940), -(model(_78077, _77938))]]], (114 ^ _74112) ^ [_78333, _78335] : [-(status(_78335, _78333, eqv)), 117 ^ _74112 : [(118 ^ _74112) ^ [_78455] : [model(_78455, _78335)]], 122 ^ _74112 : [(123 ^ _74112) ^ [] : [-(model(119 ^ [_78333, _78335], _78335))], (125 ^ _74112) ^ [] : [model(119 ^ [_78333, _78335], _78333)]], 126 ^ _74112 : [(127 ^ _74112) ^ [] : [-(model(119 ^ [_78333, _78335], _78333))], (129 ^ _74112) ^ [] : [model(119 ^ [_78333, _78335], _78335)]]], (133 ^ _74112) ^ [_78928, _78930] : [status(_78930, _78928, eqv), 137 ^ _74112 : [(138 ^ _74112) ^ [] : [-(model(136 ^ [_78928, _78930], _78930))], (140 ^ _74112) ^ [_79225] : [model(_79225, _78930), -(model(_79225, _78928))], (146 ^ _74112) ^ [_79397] : [model(_79397, _78928), -(model(_79397, _78930))]]], (163 ^ _74112) ^ [_79989, _79991] : [status(_79991, _79989, tac), 167 ^ _74112 : [(168 ^ _74112) ^ [] : [-(model(166 ^ [_79989, _79991], _79991))], (170 ^ _74112) ^ [_80236] : [-(model(_80236, _79989))]]], (152 ^ _74112) ^ [_79657, _79659] : [-(status(_79659, _79657, tac)), 155 ^ _74112 : [(156 ^ _74112) ^ [_79773] : [model(_79773, _79659)]], model(157 ^ [_79657, _79659], _79657)], (193 ^ _74112) ^ [_81051, _81053] : [status(_81053, _81051, wec), 197 ^ _74112 : [(198 ^ _74112) ^ [] : [-(model(196 ^ [_81051, _81053], _81053))], (207 ^ _74112) ^ [] : [-(model(205 ^ [_81051, _81053], _81051))], (209 ^ _74112) ^ [] : [model(205 ^ [_81051, _81053], _81053)], (200 ^ _74112) ^ [_81358] : [model(_81358, _81053), -(model(_81358, _81051))]]], (172 ^ _74112) ^ [_80385, _80387] : [-(status(_80387, _80385, wec)), 175 ^ _74112 : [(176 ^ _74112) ^ [_80526] : [model(_80526, _80387)]], 180 ^ _74112 : [(181 ^ _74112) ^ [] : [-(model(179 ^ [_80385, _80387], _80387))], (183 ^ _74112) ^ [] : [model(179 ^ [_80385, _80387], _80385)]], 184 ^ _74112 : [(185 ^ _74112) ^ [_80815] : [model(_80815, _80385), -(model(_80815, _80387))]]], (211 ^ _74112) ^ [_81800, _81802] : [-(status(_81802, _81800, eth)), 214 ^ _74112 : [(215 ^ _74112) ^ [_81935] : [model(_81935, _81802)]], 218 ^ _74112 : [(219 ^ _74112) ^ [_82031] : [-(model(_82031, _81802))]], 223 ^ _74112 : [(224 ^ _74112) ^ [] : [-(model(220 ^ [_81800, _81802], _81802))], (226 ^ _74112) ^ [] : [model(220 ^ [_81800, _81802], _81800)]], 227 ^ _74112 : [(228 ^ _74112) ^ [] : [-(model(220 ^ [_81800, _81802], _81800))], (230 ^ _74112) ^ [] : [model(220 ^ [_81800, _81802], _81802)]]], (234 ^ _74112) ^ [_82509, _82511] : [status(_82511, _82509, eth), 238 ^ _74112 : [(239 ^ _74112) ^ [] : [-(model(237 ^ [_82509, _82511], _82511))], (242 ^ _74112) ^ [] : [model(240 ^ [_82509, _82511], _82511)], (244 ^ _74112) ^ [_82938] : [model(_82938, _82511), -(model(_82938, _82509))], (250 ^ _74112) ^ [_83110] : [model(_83110, _82509), -(model(_83110, _82511))]]], (267 ^ _74112) ^ [_83695, _83697] : [status(_83697, _83695, tau), 270 ^ _74112 : [(271 ^ _74112) ^ [_83839] : [-(model(_83839, _83697))], (273 ^ _74112) ^ [_83887] : [-(model(_83887, _83695))]]], (256 ^ _74112) ^ [_83372, _83374] : [-(status(_83374, _83372, tau)), model(257 ^ [_83372, _83374], _83374), model(257 ^ [_83372, _83374], _83372)], (290 ^ _74112) ^ [_84482, _84484] : [status(_84484, _84482, wtc), 294 ^ _74112 : [(295 ^ _74112) ^ [] : [-(model(293 ^ [_84482, _84484], _84484))], (298 ^ _74112) ^ [] : [model(296 ^ [_84482, _84484], _84484)], (300 ^ _74112) ^ [_84861] : [-(model(_84861, _84482))]]], (275 ^ _74112) ^ [_84036, _84038] : [-(status(_84038, _84036, wtc)), 278 ^ _74112 : [(279 ^ _74112) ^ [_84165] : [model(_84165, _84038)]], 282 ^ _74112 : [(283 ^ _74112) ^ [_84261] : [-(model(_84261, _84038))]], model(284 ^ [_84036, _84038], _84036)], (327 ^ _74112) ^ [_85792, _85794] : [status(_85794, _85792, wth), 331 ^ _74112 : [(332 ^ _74112) ^ [] : [-(model(330 ^ [_85792, _85794], _85794))], (341 ^ _74112) ^ [] : [-(model(339 ^ [_85792, _85794], _85792))], (343 ^ _74112) ^ [] : [model(339 ^ [_85792, _85794], _85794)], (346 ^ _74112) ^ [] : [model(344 ^ [_85792, _85794], _85792)], (334 ^ _74112) ^ [_86112] : [model(_86112, _85794), -(model(_86112, _85792))]]], (302 ^ _74112) ^ [_85012, _85014] : [-(status(_85014, _85012, wth)), 305 ^ _74112 : [(306 ^ _74112) ^ [_85166] : [model(_85166, _85014)]], 310 ^ _74112 : [(311 ^ _74112) ^ [] : [-(model(309 ^ [_85012, _85014], _85014))], (313 ^ _74112) ^ [] : [model(309 ^ [_85012, _85014], _85012)]], 322 ^ _74112 : [(323 ^ _74112) ^ [_85662] : [-(model(_85662, _85012))]], 316 ^ _74112 : [(317 ^ _74112) ^ [_85489] : [model(_85489, _85012), -(model(_85489, _85014))]]], (348 ^ _74112) ^ [_86679, _86681] : [-(model(349 ^ [_86679, _86681], _86681)), -(status(_86681, _86679, cax))], (355 ^ _74112) ^ [_86903, _86905] : [status(_86905, _86903, cax), 358 ^ _74112 : [(359 ^ _74112) ^ [_87022] : [model(_87022, _86905)]]], (372 ^ _74112) ^ [_87504, _87506] : [status(_87506, _87504, sca), 375 ^ _74112 : [(376 ^ _74112) ^ [_87654] : [model(_87654, _87506)], (379 ^ _74112) ^ [] : [-(model(377 ^ [_87504, _87506], _87504))]]], (361 ^ _74112) ^ [_87169, _87171] : [-(status(_87171, _87169, sca)), -(model(364 ^ [_87169, _87171], _87171)), 367 ^ _74112 : [(368 ^ _74112) ^ [_87385] : [model(_87385, _87169)]]], (393 ^ _74112) ^ [_88271, _88273] : [status(_88273, _88271, tca), 396 ^ _74112 : [(397 ^ _74112) ^ [_88421] : [model(_88421, _88273)], (399 ^ _74112) ^ [_88483] : [-(model(_88483, _88271))]]], (381 ^ _74112) ^ [_87901, _87903] : [-(status(_87903, _87901, tca)), -(model(384 ^ [_87901, _87903], _87903)), model(387 ^ [_87901, _87903], _87901)], (416 ^ _74112) ^ [_89081, _89083] : [status(_89083, _89081, wca), 419 ^ _74112 : [(420 ^ _74112) ^ [_89244] : [model(_89244, _89083)], (423 ^ _74112) ^ [] : [-(model(421 ^ [_89081, _89083], _89081))], (426 ^ _74112) ^ [] : [model(424 ^ [_89081, _89083], _89081)]]], (401 ^ _74112) ^ [_88632, _88634] : [-(status(_88634, _88632, wca)), -(model(404 ^ [_88632, _88634], _88634)), 409 ^ _74112 : [(410 ^ _74112) ^ [_88895] : [model(_88895, _88632)]], 411 ^ _74112 : [(412 ^ _74112) ^ [_88957] : [-(model(_88957, _88632))]]], (438 ^ _74112) ^ [_89934, _89936] : [status(_89936, _89934, csa), 442 ^ _74112 : [(443 ^ _74112) ^ [] : [-(model(441 ^ [_89934, _89936], _89936))], (445 ^ _74112) ^ [] : [-(model(441 ^ [_89934, _89936], not _89934))]]], (428 ^ _74112) ^ [_89612, _89614] : [-(status(_89614, _89612, csa)), 429 ^ _74112 : [(430 ^ _74112) ^ [_89707] : [model(_89707, _89614), model(_89707, not _89612)]]], (459 ^ _74112) ^ [_90701, _90703] : [status(_90703, _90701, uns), 462 ^ _74112 : [(463 ^ _74112) ^ [_90852] : [-(model(_90852, _90703))], (465 ^ _74112) ^ [_90914] : [-(model(_90914, not _90701))]]], (447 ^ _74112) ^ [_90328, _90330] : [-(status(_90330, _90328, uns)), model(450 ^ [_90328, _90330], _90330), model(453 ^ [_90328, _90330], not _90328)], (485 ^ _74112) ^ [_91608, _91610] : [status(_91610, _91608, noc), 489 ^ _74112 : [(490 ^ _74112) ^ [] : [-(model(488 ^ [_91608, _91610], _91610))], (492 ^ _74112) ^ [] : [-(model(488 ^ [_91608, _91610], _91608))], (495 ^ _74112) ^ [] : [-(model(493 ^ [_91608, _91610], _91610))], (497 ^ _74112) ^ [] : [-(model(493 ^ [_91608, _91610], not _91608))]]], (467 ^ _74112) ^ [_91045, _91047] : [-(status(_91047, _91045, noc)), 470 ^ _74112 : [(471 ^ _74112) ^ [_91191] : [model(_91191, _91047), model(_91191, _91045)]], 476 ^ _74112 : [(477 ^ _74112) ^ [_91376] : [model(_91376, _91047), model(_91376, not _91045)]]]], input).
% 0.58/1.38  ncf('1',plain,[status(520 ^ [thm, cax], 521 ^ [thm, cax], cax), 359 : model(96 ^ [521 ^ [thm, cax], 520 ^ [thm, cax]], 520 ^ [thm, cax])],start(355 ^ 0,bind([[_86903, _86905, _87022], [521 ^ [thm, cax], 520 ^ [thm, cax], 96 ^ [521 ^ [thm, cax], 520 ^ [thm, cax]]]]))).
% 0.58/1.38  ncf('1.1',plain,[-(status(520 ^ [thm, cax], 521 ^ [thm, cax], cax)), -(isa(cax, thm))],extension(519 ^ 1,bind([[_93186, _93188], [thm, cax]]))).
% 0.58/1.38  ncf('1.1.1',plain,[isa(cax, thm)],extension(689 ^ 2)).
% 0.58/1.38  ncf('1.2',plain,[-(model(96 ^ [521 ^ [thm, cax], 520 ^ [thm, cax]], 520 ^ [thm, cax])), -(status(520 ^ [thm, cax], 521 ^ [thm, cax], thm))],extension(95 ^ 3,bind([[_77629, _77631], [521 ^ [thm, cax], 520 ^ [thm, cax]]]))).
% 0.58/1.38  ncf('1.2.1',plain,[status(520 ^ [thm, cax], 521 ^ [thm, cax], thm), -(isa(cax, thm))],extension(519 ^ 4,bind([[_93186, _93188], [thm, cax]]))).
% 0.58/1.38  ncf('1.2.1.1',plain,[isa(cax, thm)],extension(689 ^ 5)).
% 0.58/1.38  %-----------------------------------------------------
% 0.58/1.38  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------