TSTP Solution File: KRS233+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS233+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 11:26:31 EDT 2023

% Result   : Theorem 193.97s 187.59s
% Output   : Proof 193.97s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS233+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.33  % Computer : n009.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 23:00:02 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 193.97/187.59  
% 193.97/187.59  /export/starexec/sandbox/benchmark/theBenchmark.p is a Theorem
% 193.97/187.59  Start of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 193.97/187.59  %-----------------------------------------------------
% 193.97/187.59  ncf(matrix, plain, [(689 ^ _109820) ^ [] : [nevera(csa, thm)], !, (152 ^ _84251) ^ [_89776, _89778] : [-(status(_89778, _89776, tac)), 155 ^ _84251 : [(156 ^ _84251) ^ [_89892] : [model(_89892, _89778)]], model(157 ^ [_89776, _89778], _89776)], (569 ^ _84251) ^ [_105382, _105384] : [nevera(_105384, _105382), 572 ^ _84251 : [(573 ^ _84251) ^ [_105542, _105544] : [status(_105544, _105542, _105384), status(_105544, _105542, _105382)]]], (641 ^ _84251) ^ [] : [model(639 ^ [], 635 ^ [])], (361 ^ _84251) ^ [_97288, _97290] : [-(status(_97290, _97288, sca)), -(model(364 ^ [_97288, _97290], _97290)), 367 ^ _84251 : [(368 ^ _84251) ^ [_97504] : [model(_97504, _97288)]]], (58 ^ _84251) ^ [_86403, _86405] : [status(_86405, _86403, esa), 61 ^ _84251 : [(69 ^ _84251) ^ [] : [70 ^ _84251 : [(71 ^ _84251) ^ [_86792] : [model(_86792, _86403)]], -(model(72 ^ [_86403, _86405], _86405))], (62 ^ _84251) ^ [] : [63 ^ _84251 : [(64 ^ _84251) ^ [_86594] : [model(_86594, _86405)]], -(model(65 ^ [_86403, _86405], _86403))]]], (193 ^ _84251) ^ [_91170, _91172] : [status(_91172, _91170, wec), 197 ^ _84251 : [(200 ^ _84251) ^ [_91477] : [model(_91477, _91172), -(model(_91477, _91170))], (198 ^ _84251) ^ [] : [-(model(196 ^ [_91170, _91172], _91172))], (209 ^ _84251) ^ [] : [model(205 ^ [_91170, _91172], _91172)], (207 ^ _84251) ^ [] : [-(model(205 ^ [_91170, _91172], _91170))]]], (634 ^ _84251) ^ [_107796] : [-(model(_107796, 632 ^ []))], (114 ^ _84251) ^ [_88452, _88454] : [-(status(_88454, _88452, eqv)), 117 ^ _84251 : [(118 ^ _84251) ^ [_88574] : [model(_88574, _88454)]], 122 ^ _84251 : [(125 ^ _84251) ^ [] : [model(119 ^ [_88452, _88454], _88452)], (123 ^ _84251) ^ [] : [-(model(119 ^ [_88452, _88454], _88454))]], 126 ^ _84251 : [(129 ^ _84251) ^ [] : [model(119 ^ [_88452, _88454], _88454)], (127 ^ _84251) ^ [] : [-(model(119 ^ [_88452, _88454], _88452))]]], (597 ^ _84251) ^ [_106425, _106427] : [xora(_106427, _106425), 600 ^ _84251 : [(601 ^ _84251) ^ [_106594, _106596] : [602 ^ _84251 : [(605 ^ _84251) ^ [] : [status(_106596, _106594, _106425)], (603 ^ _84251) ^ [] : [-(status(_106596, _106594, _106427))]], 606 ^ _84251 : [(609 ^ _84251) ^ [] : [status(_106596, _106594, _106427)], (607 ^ _84251) ^ [] : [-(status(_106596, _106594, _106425))]]]]], (381 ^ _84251) ^ [_98020, _98022] : [-(status(_98022, _98020, tca)), -(model(384 ^ [_98020, _98022], _98022)), model(387 ^ [_98020, _98022], _98020)], (677 ^ _84251) ^ [] : [model(675 ^ [], 660 ^ [])], (428 ^ _84251) ^ [_99731, _99733] : [-(status(_99733, _99731, csa)), 429 ^ _84251 : [(430 ^ _84251) ^ [_99826] : [model(_99826, _99733), model(_99826, not _99731)]]], (86 ^ _84251) ^ [_87360, _87362] : [status(_87362, _87360, sat), 90 ^ _84251 : [(93 ^ _84251) ^ [] : [-(model(89 ^ [_87360, _87362], _87360))], (91 ^ _84251) ^ [] : [-(model(89 ^ [_87360, _87362], _87362))]]], (163 ^ _84251) ^ [_90108, _90110] : [status(_90110, _90108, tac), 167 ^ _84251 : [(170 ^ _84251) ^ [_90355] : [-(model(_90355, _90108))], (168 ^ _84251) ^ [] : [-(model(166 ^ [_90108, _90110], _90110))]]], (644 ^ _84251) ^ [_108155] : [model(_108155, 642 ^ [])], (649 ^ _84251) ^ [] : [-(model(647 ^ [], 645 ^ []))], (211 ^ _84251) ^ [_91919, _91921] : [-(status(_91921, _91919, eth)), 214 ^ _84251 : [(215 ^ _84251) ^ [_92054] : [model(_92054, _91921)]], 218 ^ _84251 : [(219 ^ _84251) ^ [_92150] : [-(model(_92150, _91921))]], 223 ^ _84251 : [(226 ^ _84251) ^ [] : [model(220 ^ [_91919, _91921], _91919)], (224 ^ _84251) ^ [] : [-(model(220 ^ [_91919, _91921], _91921))]], 227 ^ _84251 : [(230 ^ _84251) ^ [] : [model(220 ^ [_91919, _91921], _91921)], (228 ^ _84251) ^ [] : [-(model(220 ^ [_91919, _91921], _91919))]]], (302 ^ _84251) ^ [_95131, _95133] : [-(status(_95133, _95131, wth)), 305 ^ _84251 : [(306 ^ _84251) ^ [_95285] : [model(_95285, _95133)]], 310 ^ _84251 : [(313 ^ _84251) ^ [] : [model(309 ^ [_95131, _95133], _95131)], (311 ^ _84251) ^ [] : [-(model(309 ^ [_95131, _95133], _95133))]], 322 ^ _84251 : [(323 ^ _84251) ^ [_95781] : [-(model(_95781, _95131))]], 316 ^ _84251 : [(317 ^ _84251) ^ [_95608] : [model(_95608, _95131), -(model(_95608, _95133))]]], (485 ^ _84251) ^ [_101727, _101729] : [status(_101729, _101727, noc), 489 ^ _84251 : [(497 ^ _84251) ^ [] : [-(model(493 ^ [_101727, _101729], not _101727))], (490 ^ _84251) ^ [] : [-(model(488 ^ [_101727, _101729], _101729))], (495 ^ _84251) ^ [] : [-(model(493 ^ [_101727, _101729], _101729))], (492 ^ _84251) ^ [] : [-(model(488 ^ [_101727, _101729], _101727))]]], (133 ^ _84251) ^ [_89047, _89049] : [status(_89049, _89047, eqv), 137 ^ _84251 : [(146 ^ _84251) ^ [_89516] : [model(_89516, _89047), -(model(_89516, _89049))], (140 ^ _84251) ^ [_89344] : [model(_89344, _89049), -(model(_89344, _89047))], (138 ^ _84251) ^ [] : [-(model(136 ^ [_89047, _89049], _89049))]]], (42 ^ _84251) ^ [_85857, _85859] : [-(status(_85859, _85857, esa)), 46 ^ _84251 : [(49 ^ _84251) ^ [_86100] : [model(_86100, _85857)], (47 ^ _84251) ^ [] : [-(model(45 ^ [_85857, _85859], _85859))]], 51 ^ _84251 : [(54 ^ _84251) ^ [_86281] : [model(_86281, _85859)], (52 ^ _84251) ^ [] : [-(model(50 ^ [_85857, _85859], _85857))]]], (611 ^ _84251) ^ [_107001, _107003] : [612 ^ _84251 : [(615 ^ _84251) ^ [] : [model(_107003, not _107001)], (613 ^ _84251) ^ [] : [-(model(_107003, _107001))]], 616 ^ _84251 : [(619 ^ _84251) ^ [] : [model(_107003, _107001)], (617 ^ _84251) ^ [] : [-(model(_107003, not _107001))]]], (665 ^ _84251) ^ [_109008] : [model(_109008, 659 ^ []), -(model(_109008, 660 ^ []))], (438 ^ _84251) ^ [_100053, _100055] : [status(_100055, _100053, csa), 442 ^ _84251 : [(445 ^ _84251) ^ [] : [-(model(441 ^ [_100053, _100055], not _100053))], (443 ^ _84251) ^ [] : [-(model(441 ^ [_100053, _100055], _100055))]]], (267 ^ _84251) ^ [_93814, _93816] : [status(_93816, _93814, tau), 270 ^ _84251 : [(273 ^ _84251) ^ [_94006] : [-(model(_94006, _93814))], (271 ^ _84251) ^ [_93958] : [-(model(_93958, _93816))]]], (416 ^ _84251) ^ [_99200, _99202] : [status(_99202, _99200, wca), 419 ^ _84251 : [(426 ^ _84251) ^ [] : [model(424 ^ [_99200, _99202], _99200)], (423 ^ _84251) ^ [] : [-(model(421 ^ [_99200, _99202], _99200))], (420 ^ _84251) ^ [_99363] : [model(_99363, _99202)]]], (172 ^ _84251) ^ [_90504, _90506] : [-(status(_90506, _90504, wec)), 175 ^ _84251 : [(176 ^ _84251) ^ [_90645] : [model(_90645, _90506)]], 180 ^ _84251 : [(183 ^ _84251) ^ [] : [model(179 ^ [_90504, _90506], _90504)], (181 ^ _84251) ^ [] : [-(model(179 ^ [_90504, _90506], _90506))]], 184 ^ _84251 : [(185 ^ _84251) ^ [_90934] : [model(_90934, _90504), -(model(_90934, _90506))]]], (638 ^ _84251) ^ [] : [-(model(636 ^ [], 635 ^ []))], (290 ^ _84251) ^ [_94601, _94603] : [status(_94603, _94601, wtc), 294 ^ _84251 : [(300 ^ _84251) ^ [_94980] : [-(model(_94980, _94601))], (298 ^ _84251) ^ [] : [model(296 ^ [_94601, _94603], _94603)], (295 ^ _84251) ^ [] : [-(model(293 ^ [_94601, _94603], _94603))]]], (559 ^ _84251) ^ [_104971, _104973] : [562 ^ _84251 : [(565 ^ _84251) ^ [] : [-(status(560 ^ [_104971, _104973], 561 ^ [_104971, _104973], _104971))], (563 ^ _84251) ^ [] : [-(status(560 ^ [_104971, _104973], 561 ^ [_104971, _104973], _104973))]], -(nevera(_104973, _104971))], (651 ^ _84251) ^ [] : [-(model(647 ^ [], 646 ^ []))], (654 ^ _84251) ^ [] : [model(652 ^ [], 645 ^ []), model(652 ^ [], 646 ^ [])], (372 ^ _84251) ^ [_97623, _97625] : [status(_97625, _97623, sca), 375 ^ _84251 : [(379 ^ _84251) ^ [] : [-(model(377 ^ [_97623, _97625], _97623))], (376 ^ _84251) ^ [_97773] : [model(_97773, _97625)]]], (95 ^ _84251) ^ [_87748, _87750] : [97 ^ _84251 : [(100 ^ _84251) ^ [] : [model(96 ^ [_87748, _87750], _87748)], (98 ^ _84251) ^ [] : [-(model(96 ^ [_87748, _87750], _87750))]], -(status(_87750, _87748, thm))], (355 ^ _84251) ^ [_97022, _97024] : [status(_97024, _97022, cax), 358 ^ _84251 : [(359 ^ _84251) ^ [_97141] : [model(_97141, _97024)]]], (348 ^ _84251) ^ [_96798, _96800] : [-(model(349 ^ [_96798, _96800], _96800)), -(status(_96800, _96798, cax))], (682 ^ _84251) ^ [] : [-(model(678 ^ [], 679 ^ []))], (621 ^ _84251) ^ [_107397, _107399] : [model(_107399, _107397), model(_107399, not _107397)], (459 ^ _84251) ^ [_100820, _100822] : [status(_100822, _100820, uns), 462 ^ _84251 : [(465 ^ _84251) ^ [_101033] : [-(model(_101033, not _100820))], (463 ^ _84251) ^ [_100971] : [-(model(_100971, _100822))]]], (11 ^ _84251) ^ [_84714, _84716] : [status(_84716, _84714, unp), -(model(16 ^ [_84714, _84716], _84716)), 19 ^ _84251 : [(20 ^ _84251) ^ [_84978] : [model(_84978, _84714)]]], (684 ^ _84251) ^ [] : [model(678 ^ [], 680 ^ [])], (529 ^ _84251) ^ [_103709, _103711] : [isa(_103711, _103709), 532 ^ _84251 : [(533 ^ _84251) ^ [_103867, _103869] : [status(_103869, _103867, _103711), -(status(_103869, _103867, _103709))]]], (509 ^ _84251) ^ [_102822, _102824] : [mighta(_102824, _102822), 514 ^ _84251 : [(517 ^ _84251) ^ [] : [-(status(512 ^ [_102822, _102824], 513 ^ [_102822, _102824], _102822))], (515 ^ _84251) ^ [] : [-(status(512 ^ [_102822, _102824], 513 ^ [_102822, _102824], _102824))]]], (627 ^ _84251) ^ [_107564, _107566] : [-(model(_107566, not _107564)), -(model(_107566, _107564))], (104 ^ _84251) ^ [_88057, _88059] : [status(_88059, _88057, thm), 107 ^ _84251 : [(108 ^ _84251) ^ [_88196] : [model(_88196, _88059), -(model(_88196, _88057))]]], (22 ^ _84251) ^ [_85129, _85131] : [24 ^ _84251 : [(27 ^ _84251) ^ [_85329] : [model(_85329, _85129)], (25 ^ _84251) ^ [] : [-(model(23 ^ [_85129, _85131], _85131))]], -(status(_85131, _85129, sap))], (327 ^ _84251) ^ [_95911, _95913] : [status(_95913, _95911, wth), 331 ^ _84251 : [(341 ^ _84251) ^ [] : [-(model(339 ^ [_95911, _95913], _95911))], (343 ^ _84251) ^ [] : [model(339 ^ [_95911, _95913], _95913)], (346 ^ _84251) ^ [] : [model(344 ^ [_95911, _95913], _95911)], (334 ^ _84251) ^ [_96231] : [model(_96231, _95913), -(model(_96231, _95911))], (332 ^ _84251) ^ [] : [-(model(330 ^ [_95911, _95913], _95913))]]], (234 ^ _84251) ^ [_92628, _92630] : [status(_92630, _92628, eth), 238 ^ _84251 : [(250 ^ _84251) ^ [_93229] : [model(_93229, _92628), -(model(_93229, _92630))], (239 ^ _84251) ^ [] : [-(model(237 ^ [_92628, _92630], _92630))], (244 ^ _84251) ^ [_93057] : [model(_93057, _92630), -(model(_93057, _92628))], (242 ^ _84251) ^ [] : [model(240 ^ [_92628, _92630], _92630)]]], (256 ^ _84251) ^ [_93491, _93493] : [-(status(_93493, _93491, tau)), model(257 ^ [_93491, _93493], _93493), model(257 ^ [_93491, _93493], _93491)], (401 ^ _84251) ^ [_98751, _98753] : [-(status(_98753, _98751, wca)), -(model(404 ^ [_98751, _98753], _98753)), 409 ^ _84251 : [(410 ^ _84251) ^ [_99014] : [model(_99014, _98751)]], 411 ^ _84251 : [(412 ^ _84251) ^ [_99076] : [-(model(_99076, _98751))]]], (31 ^ _84251) ^ [_85446, _85448] : [status(_85448, _85446, sap), 36 ^ _84251 : [(37 ^ _84251) ^ [_85608] : [model(_85608, _85448)]], -(model(38 ^ [_85446, _85448], _85446))], (467 ^ _84251) ^ [_101164, _101166] : [-(status(_101166, _101164, noc)), 470 ^ _84251 : [(471 ^ _84251) ^ [_101310] : [model(_101310, _101166), model(_101310, _101164)]], 476 ^ _84251 : [(477 ^ _84251) ^ [_101495] : [model(_101495, _101166), model(_101495, not _101164)]]], (499 ^ _84251) ^ [_102477, _102479] : [-(mighta(_102479, _102477)), 500 ^ _84251 : [(501 ^ _84251) ^ [_102590, _102592] : [status(_102592, _102590, _102479), status(_102592, _102590, _102477)]]], (275 ^ _84251) ^ [_94155, _94157] : [-(status(_94157, _94155, wtc)), 278 ^ _84251 : [(279 ^ _84251) ^ [_94284] : [model(_94284, _94157)]], 282 ^ _84251 : [(283 ^ _84251) ^ [_94380] : [-(model(_94380, _94157))]], model(284 ^ [_94155, _94157], _94155)], (539 ^ _84251) ^ [_104133, _104135] : [-(nota(_104135, _104133)), 540 ^ _84251 : [(541 ^ _84251) ^ [_104248, _104250] : [status(_104250, _104248, _104135), -(status(_104250, _104248, _104133))]]], (579 ^ _84251) ^ [_105809, _105811] : [-(xora(_105811, _105809)), 582 ^ _84251 : [(589 ^ _84251) ^ [] : [status(580 ^ [_105809, _105811], 581 ^ [_105809, _105811], _105809), -(status(580 ^ [_105809, _105811], 581 ^ [_105809, _105811], _105811))], (583 ^ _84251) ^ [] : [status(580 ^ [_105809, _105811], 581 ^ [_105809, _105811], _105811), -(status(580 ^ [_105809, _105811], 581 ^ [_105809, _105811], _105809))]]], (672 ^ _84251) ^ [] : [model(670 ^ [], 659 ^ [])], (76 ^ _84251) ^ [_87044, _87046] : [-(status(_87046, _87044, sat)), 77 ^ _84251 : [(78 ^ _84251) ^ [_87137] : [model(_87137, _87046), model(_87137, _87044)]]], (674 ^ _84251) ^ [] : [-(model(670 ^ [], 660 ^ []))], (447 ^ _84251) ^ [_100447, _100449] : [-(status(_100449, _100447, uns)), model(450 ^ [_100447, _100449], _100449), model(453 ^ [_100447, _100449], not _100447)], (687 ^ _84251) ^ [] : [-(model(685 ^ [], 680 ^ []))], (519 ^ _84251) ^ [_103305, _103307] : [522 ^ _84251 : [(525 ^ _84251) ^ [] : [status(520 ^ [_103305, _103307], 521 ^ [_103305, _103307], _103305)], (523 ^ _84251) ^ [] : [-(status(520 ^ [_103305, _103307], 521 ^ [_103305, _103307], _103307))]], -(isa(_103307, _103305))], (2 ^ _84251) ^ [_84393, _84395] : [3 ^ _84251 : [(7 ^ _84251) ^ [] : [-(model(5 ^ [_84393, _84395], _84393))], (4 ^ _84251) ^ [_84499] : [model(_84499, _84395)]], -(status(_84395, _84393, unp))], (549 ^ _84251) ^ [_104483, _104485] : [nota(_104485, _104483), 554 ^ _84251 : [(557 ^ _84251) ^ [] : [status(552 ^ [_104483, _104485], 553 ^ [_104483, _104485], _104483)], (555 ^ _84251) ^ [] : [-(status(552 ^ [_104483, _104485], 553 ^ [_104483, _104485], _104485))]]], (393 ^ _84251) ^ [_98390, _98392] : [status(_98392, _98390, tca), 396 ^ _84251 : [(399 ^ _84251) ^ [_98602] : [-(model(_98602, _98390))], (397 ^ _84251) ^ [_98540] : [model(_98540, _98392)]]], (663 ^ _84251) ^ [] : [-(model(661 ^ [], 659 ^ []))]], input).
% 193.97/187.59  ncf('1',plain,[nevera(csa, thm)],start(689 ^ 0)).
% 193.97/187.59  ncf('1.1',plain,[-(nevera(csa, thm)), 565 : -(status(560 ^ [thm, csa], 561 ^ [thm, csa], thm))],extension(559 ^ 1,bind([[_104971, _104973], [thm, csa]]))).
% 193.97/187.59  ncf('1.1.1',plain,[status(560 ^ [thm, csa], 561 ^ [thm, csa], thm), 108 : model(441 ^ [561 ^ [thm, csa], 560 ^ [thm, csa]], 560 ^ [thm, csa]), 108 : -(model(441 ^ [561 ^ [thm, csa], 560 ^ [thm, csa]], 561 ^ [thm, csa]))],extension(104 ^ 4,bind([[_88057, _88059, _88196], [561 ^ [thm, csa], 560 ^ [thm, csa], 441 ^ [561 ^ [thm, csa], 560 ^ [thm, csa]]]]))).
% 193.97/187.59  ncf('1.1.1.1',plain,[-(model(441 ^ [561 ^ [thm, csa], 560 ^ [thm, csa]], 560 ^ [thm, csa])), status(560 ^ [thm, csa], 561 ^ [thm, csa], csa)],extension(438 ^ 7,bind([[_100053, _100055], [561 ^ [thm, csa], 560 ^ [thm, csa]]]))).
% 193.97/187.59  ncf('1.1.1.1.1',plain,[-(status(560 ^ [thm, csa], 561 ^ [thm, csa], csa))],extension(563 ^ 8)).
% 193.97/187.59  ncf('1.1.1.2',plain,[model(441 ^ [561 ^ [thm, csa], 560 ^ [thm, csa]], 561 ^ [thm, csa]), 615 : model(441 ^ [561 ^ [thm, csa], 560 ^ [thm, csa]], not 561 ^ [thm, csa])],extension(611 ^ 7,bind([[_107001, _107003], [561 ^ [thm, csa], 441 ^ [561 ^ [thm, csa], 560 ^ [thm, csa]]]]))).
% 193.97/187.59  ncf('1.1.1.2.1',plain,[-(model(441 ^ [561 ^ [thm, csa], 560 ^ [thm, csa]], not 561 ^ [thm, csa])), status(560 ^ [thm, csa], 561 ^ [thm, csa], csa)],extension(438 ^ 10,bind([[_100053, _100055], [561 ^ [thm, csa], 560 ^ [thm, csa]]]))).
% 193.97/187.59  ncf('1.1.1.2.1.1',plain,[-(status(560 ^ [thm, csa], 561 ^ [thm, csa], csa))],extension(563 ^ 11)).
% 193.97/187.59  %-----------------------------------------------------
% 193.97/187.59  End of proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------