TSTP Solution File: KRS257+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS257+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n011.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 0.77s 1.37s
% Output   : Proof 0.77s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS257+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.12  % Command  : nanocop.sh %s %d
% 0.13/0.33  % Computer : n011.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
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May 18 23:00:33 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.77/1.37  
% 0.77/1.37  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 0.77/1.37  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/1.37  %-----------------------------------------------------
% 0.77/1.37  ncf(matrix, plain, [(689 ^ _75330) ^ [] : [mighta(sat, thm)], (509 ^ _75330) ^ [_93921, _93923] : [mighta(_93923, _93921), 514 ^ _75330 : [(515 ^ _75330) ^ [] : [-(status(512 ^ [_93921, _93923], 513 ^ [_93921, _93923], _93923))], (517 ^ _75330) ^ [] : [-(status(512 ^ [_93921, _93923], 513 ^ [_93921, _93923], _93921))]]], (499 ^ _75330) ^ [_93576, _93578] : [-(mighta(_93578, _93576)), 500 ^ _75330 : [(501 ^ _75330) ^ [_93689, _93691] : [status(_93691, _93689, _93578), status(_93691, _93689, _93576)]]], (519 ^ _75330) ^ [_94404, _94406] : [522 ^ _75330 : [(523 ^ _75330) ^ [] : [-(status(520 ^ [_94404, _94406], 521 ^ [_94404, _94406], _94406))], (525 ^ _75330) ^ [] : [status(520 ^ [_94404, _94406], 521 ^ [_94404, _94406], _94404)]], -(isa(_94406, _94404))], (529 ^ _75330) ^ [_94808, _94810] : [isa(_94810, _94808), 532 ^ _75330 : [(533 ^ _75330) ^ [_94966, _94968] : [status(_94968, _94966, _94810), -(status(_94968, _94966, _94808))]]], (549 ^ _75330) ^ [_95582, _95584] : [nota(_95584, _95582), 554 ^ _75330 : [(555 ^ _75330) ^ [] : [-(status(552 ^ [_95582, _95584], 553 ^ [_95582, _95584], _95584))], (557 ^ _75330) ^ [] : [status(552 ^ [_95582, _95584], 553 ^ [_95582, _95584], _95582)]]], (539 ^ _75330) ^ [_95232, _95234] : [-(nota(_95234, _95232)), 540 ^ _75330 : [(541 ^ _75330) ^ [_95347, _95349] : [status(_95349, _95347, _95234), -(status(_95349, _95347, _95232))]]], (559 ^ _75330) ^ [_96070, _96072] : [562 ^ _75330 : [(563 ^ _75330) ^ [] : [-(status(560 ^ [_96070, _96072], 561 ^ [_96070, _96072], _96072))], (565 ^ _75330) ^ [] : [-(status(560 ^ [_96070, _96072], 561 ^ [_96070, _96072], _96070))]], -(nevera(_96072, _96070))], (569 ^ _75330) ^ [_96481, _96483] : [nevera(_96483, _96481), 572 ^ _75330 : [(573 ^ _75330) ^ [_96641, _96643] : [status(_96643, _96641, _96483), status(_96643, _96641, _96481)]]], (597 ^ _75330) ^ [_97524, _97526] : [xora(_97526, _97524), 600 ^ _75330 : [(601 ^ _75330) ^ [_97693, _97695] : [602 ^ _75330 : [(603 ^ _75330) ^ [] : [-(status(_97695, _97693, _97526))], (605 ^ _75330) ^ [] : [status(_97695, _97693, _97524)]], 606 ^ _75330 : [(607 ^ _75330) ^ [] : [-(status(_97695, _97693, _97524))], (609 ^ _75330) ^ [] : [status(_97695, _97693, _97526)]]]]], (579 ^ _75330) ^ [_96908, _96910] : [-(xora(_96910, _96908)), 582 ^ _75330 : [(583 ^ _75330) ^ [] : [status(580 ^ [_96908, _96910], 581 ^ [_96908, _96910], _96910), -(status(580 ^ [_96908, _96910], 581 ^ [_96908, _96910], _96908))], (589 ^ _75330) ^ [] : [status(580 ^ [_96908, _96910], 581 ^ [_96908, _96910], _96908), -(status(580 ^ [_96908, _96910], 581 ^ [_96908, _96910], _96910))]]], (611 ^ _75330) ^ [_98100, _98102] : [612 ^ _75330 : [(613 ^ _75330) ^ [] : [-(model(_98102, _98100))], (615 ^ _75330) ^ [] : [model(_98102, not _98100)]], 616 ^ _75330 : [(617 ^ _75330) ^ [] : [-(model(_98102, not _98100))], (619 ^ _75330) ^ [] : [model(_98102, _98100)]]], (621 ^ _75330) ^ [_98496, _98498] : [model(_98498, _98496), model(_98498, not _98496)], (627 ^ _75330) ^ [_98663, _98665] : [-(model(_98665, not _98663)), -(model(_98665, _98663))], (634 ^ _75330) ^ [_98895] : [-(model(_98895, 632 ^ []))], (638 ^ _75330) ^ [] : [-(model(636 ^ [], 635 ^ []))], (641 ^ _75330) ^ [] : [model(639 ^ [], 635 ^ [])], (644 ^ _75330) ^ [_99254] : [model(_99254, 642 ^ [])], (649 ^ _75330) ^ [] : [-(model(647 ^ [], 645 ^ []))], (651 ^ _75330) ^ [] : [-(model(647 ^ [], 646 ^ []))], (654 ^ _75330) ^ [] : [model(652 ^ [], 645 ^ []), model(652 ^ [], 646 ^ [])], (682 ^ _75330) ^ [] : [-(model(678 ^ [], 679 ^ []))], (684 ^ _75330) ^ [] : [model(678 ^ [], 680 ^ [])], (687 ^ _75330) ^ [] : [-(model(685 ^ [], 680 ^ []))], (663 ^ _75330) ^ [] : [-(model(661 ^ [], 659 ^ []))], (672 ^ _75330) ^ [] : [model(670 ^ [], 659 ^ [])], (674 ^ _75330) ^ [] : [-(model(670 ^ [], 660 ^ []))], (677 ^ _75330) ^ [] : [model(675 ^ [], 660 ^ [])], (665 ^ _75330) ^ [_100107] : [model(_100107, 659 ^ []), -(model(_100107, 660 ^ []))], (2 ^ _75330) ^ [_75492, _75494] : [3 ^ _75330 : [(4 ^ _75330) ^ [_75598] : [model(_75598, _75494)], (7 ^ _75330) ^ [] : [-(model(5 ^ [_75492, _75494], _75492))]], -(status(_75494, _75492, unp))], (11 ^ _75330) ^ [_75813, _75815] : [status(_75815, _75813, unp), -(model(16 ^ [_75813, _75815], _75815)), 19 ^ _75330 : [(20 ^ _75330) ^ [_76077] : [model(_76077, _75813)]]], (22 ^ _75330) ^ [_76228, _76230] : [24 ^ _75330 : [(25 ^ _75330) ^ [] : [-(model(23 ^ [_76228, _76230], _76230))], (27 ^ _75330) ^ [_76428] : [model(_76428, _76228)]], -(status(_76230, _76228, sap))], (31 ^ _75330) ^ [_76545, _76547] : [status(_76547, _76545, sap), 36 ^ _75330 : [(37 ^ _75330) ^ [_76707] : [model(_76707, _76547)]], -(model(38 ^ [_76545, _76547], _76545))], (42 ^ _75330) ^ [_76956, _76958] : [-(status(_76958, _76956, esa)), 46 ^ _75330 : [(47 ^ _75330) ^ [] : [-(model(45 ^ [_76956, _76958], _76958))], (49 ^ _75330) ^ [_77199] : [model(_77199, _76956)]], 51 ^ _75330 : [(52 ^ _75330) ^ [] : [-(model(50 ^ [_76956, _76958], _76956))], (54 ^ _75330) ^ [_77380] : [model(_77380, _76958)]]], (58 ^ _75330) ^ [_77502, _77504] : [status(_77504, _77502, esa), 61 ^ _75330 : [(62 ^ _75330) ^ [] : [63 ^ _75330 : [(64 ^ _75330) ^ [_77693] : [model(_77693, _77504)]], -(model(65 ^ [_77502, _77504], _77502))], (69 ^ _75330) ^ [] : [70 ^ _75330 : [(71 ^ _75330) ^ [_77891] : [model(_77891, _77502)]], -(model(72 ^ [_77502, _77504], _77504))]]], (86 ^ _75330) ^ [_78459, _78461] : [status(_78461, _78459, sat), 90 ^ _75330 : [(91 ^ _75330) ^ [] : [-(model(89 ^ [_78459, _78461], _78461))], (93 ^ _75330) ^ [] : [-(model(89 ^ [_78459, _78461], _78459))]]], (76 ^ _75330) ^ [_78143, _78145] : [-(status(_78145, _78143, sat)), 77 ^ _75330 : [(78 ^ _75330) ^ [_78236] : [model(_78236, _78145), model(_78236, _78143)]]], (95 ^ _75330) ^ [_78847, _78849] : [97 ^ _75330 : [(98 ^ _75330) ^ [] : [-(model(96 ^ [_78847, _78849], _78849))], (100 ^ _75330) ^ [] : [model(96 ^ [_78847, _78849], _78847)]], -(status(_78849, _78847, thm))], (104 ^ _75330) ^ [_79156, _79158] : [status(_79158, _79156, thm), 107 ^ _75330 : [(108 ^ _75330) ^ [_79295] : [model(_79295, _79158), -(model(_79295, _79156))]]], (114 ^ _75330) ^ [_79551, _79553] : [-(status(_79553, _79551, eqv)), 117 ^ _75330 : [(118 ^ _75330) ^ [_79673] : [model(_79673, _79553)]], 122 ^ _75330 : [(123 ^ _75330) ^ [] : [-(model(119 ^ [_79551, _79553], _79553))], (125 ^ _75330) ^ [] : [model(119 ^ [_79551, _79553], _79551)]], 126 ^ _75330 : [(127 ^ _75330) ^ [] : [-(model(119 ^ [_79551, _79553], _79551))], (129 ^ _75330) ^ [] : [model(119 ^ [_79551, _79553], _79553)]]], (133 ^ _75330) ^ [_80146, _80148] : [status(_80148, _80146, eqv), 137 ^ _75330 : [(138 ^ _75330) ^ [] : [-(model(136 ^ [_80146, _80148], _80148))], (140 ^ _75330) ^ [_80443] : [model(_80443, _80148), -(model(_80443, _80146))], (146 ^ _75330) ^ [_80615] : [model(_80615, _80146), -(model(_80615, _80148))]]], (163 ^ _75330) ^ [_81207, _81209] : [status(_81209, _81207, tac), 167 ^ _75330 : [(168 ^ _75330) ^ [] : [-(model(166 ^ [_81207, _81209], _81209))], (170 ^ _75330) ^ [_81454] : [-(model(_81454, _81207))]]], (152 ^ _75330) ^ [_80875, _80877] : [-(status(_80877, _80875, tac)), 155 ^ _75330 : [(156 ^ _75330) ^ [_80991] : [model(_80991, _80877)]], model(157 ^ [_80875, _80877], _80875)], (193 ^ _75330) ^ [_82269, _82271] : [status(_82271, _82269, wec), 197 ^ _75330 : [(198 ^ _75330) ^ [] : [-(model(196 ^ [_82269, _82271], _82271))], (207 ^ _75330) ^ [] : [-(model(205 ^ [_82269, _82271], _82269))], (209 ^ _75330) ^ [] : [model(205 ^ [_82269, _82271], _82271)], (200 ^ _75330) ^ [_82576] : [model(_82576, _82271), -(model(_82576, _82269))]]], (172 ^ _75330) ^ [_81603, _81605] : [-(status(_81605, _81603, wec)), 175 ^ _75330 : [(176 ^ _75330) ^ [_81744] : [model(_81744, _81605)]], 180 ^ _75330 : [(181 ^ _75330) ^ [] : [-(model(179 ^ [_81603, _81605], _81605))], (183 ^ _75330) ^ [] : [model(179 ^ [_81603, _81605], _81603)]], 184 ^ _75330 : [(185 ^ _75330) ^ [_82033] : [model(_82033, _81603), -(model(_82033, _81605))]]], (211 ^ _75330) ^ [_83018, _83020] : [-(status(_83020, _83018, eth)), 214 ^ _75330 : [(215 ^ _75330) ^ [_83153] : [model(_83153, _83020)]], 218 ^ _75330 : [(219 ^ _75330) ^ [_83249] : [-(model(_83249, _83020))]], 223 ^ _75330 : [(224 ^ _75330) ^ [] : [-(model(220 ^ [_83018, _83020], _83020))], (226 ^ _75330) ^ [] : [model(220 ^ [_83018, _83020], _83018)]], 227 ^ _75330 : [(228 ^ _75330) ^ [] : [-(model(220 ^ [_83018, _83020], _83018))], (230 ^ _75330) ^ [] : [model(220 ^ [_83018, _83020], _83020)]]], (234 ^ _75330) ^ [_83727, _83729] : [status(_83729, _83727, eth), 238 ^ _75330 : [(239 ^ _75330) ^ [] : [-(model(237 ^ [_83727, _83729], _83729))], (242 ^ _75330) ^ [] : [model(240 ^ [_83727, _83729], _83729)], (244 ^ _75330) ^ [_84156] : [model(_84156, _83729), -(model(_84156, _83727))], (250 ^ _75330) ^ [_84328] : [model(_84328, _83727), -(model(_84328, _83729))]]], (267 ^ _75330) ^ [_84913, _84915] : [status(_84915, _84913, tau), 270 ^ _75330 : [(271 ^ _75330) ^ [_85057] : [-(model(_85057, _84915))], (273 ^ _75330) ^ [_85105] : [-(model(_85105, _84913))]]], (256 ^ _75330) ^ [_84590, _84592] : [-(status(_84592, _84590, tau)), model(257 ^ [_84590, _84592], _84592), model(257 ^ [_84590, _84592], _84590)], (290 ^ _75330) ^ [_85700, _85702] : [status(_85702, _85700, wtc), 294 ^ _75330 : [(295 ^ _75330) ^ [] : [-(model(293 ^ [_85700, _85702], _85702))], (298 ^ _75330) ^ [] : [model(296 ^ [_85700, _85702], _85702)], (300 ^ _75330) ^ [_86079] : [-(model(_86079, _85700))]]], (275 ^ _75330) ^ [_85254, _85256] : [-(status(_85256, _85254, wtc)), 278 ^ _75330 : [(279 ^ _75330) ^ [_85383] : [model(_85383, _85256)]], 282 ^ _75330 : [(283 ^ _75330) ^ [_85479] : [-(model(_85479, _85256))]], model(284 ^ [_85254, _85256], _85254)], (327 ^ _75330) ^ [_87010, _87012] : [status(_87012, _87010, wth), 331 ^ _75330 : [(332 ^ _75330) ^ [] : [-(model(330 ^ [_87010, _87012], _87012))], (341 ^ _75330) ^ [] : [-(model(339 ^ [_87010, _87012], _87010))], (343 ^ _75330) ^ [] : [model(339 ^ [_87010, _87012], _87012)], (346 ^ _75330) ^ [] : [model(344 ^ [_87010, _87012], _87010)], (334 ^ _75330) ^ [_87330] : [model(_87330, _87012), -(model(_87330, _87010))]]], (302 ^ _75330) ^ [_86230, _86232] : [-(status(_86232, _86230, wth)), 305 ^ _75330 : [(306 ^ _75330) ^ [_86384] : [model(_86384, _86232)]], 310 ^ _75330 : [(311 ^ _75330) ^ [] : [-(model(309 ^ [_86230, _86232], _86232))], (313 ^ _75330) ^ [] : [model(309 ^ [_86230, _86232], _86230)]], 322 ^ _75330 : [(323 ^ _75330) ^ [_86880] : [-(model(_86880, _86230))]], 316 ^ _75330 : [(317 ^ _75330) ^ [_86707] : [model(_86707, _86230), -(model(_86707, _86232))]]], (348 ^ _75330) ^ [_87897, _87899] : [-(model(349 ^ [_87897, _87899], _87899)), -(status(_87899, _87897, cax))], (355 ^ _75330) ^ [_88121, _88123] : [status(_88123, _88121, cax), 358 ^ _75330 : [(359 ^ _75330) ^ [_88240] : [model(_88240, _88123)]]], (372 ^ _75330) ^ [_88722, _88724] : [status(_88724, _88722, sca), 375 ^ _75330 : [(376 ^ _75330) ^ [_88872] : [model(_88872, _88724)], (379 ^ _75330) ^ [] : [-(model(377 ^ [_88722, _88724], _88722))]]], (361 ^ _75330) ^ [_88387, _88389] : [-(status(_88389, _88387, sca)), -(model(364 ^ [_88387, _88389], _88389)), 367 ^ _75330 : [(368 ^ _75330) ^ [_88603] : [model(_88603, _88387)]]], (393 ^ _75330) ^ [_89489, _89491] : [status(_89491, _89489, tca), 396 ^ _75330 : [(397 ^ _75330) ^ [_89639] : [model(_89639, _89491)], (399 ^ _75330) ^ [_89701] : [-(model(_89701, _89489))]]], (381 ^ _75330) ^ [_89119, _89121] : [-(status(_89121, _89119, tca)), -(model(384 ^ [_89119, _89121], _89121)), model(387 ^ [_89119, _89121], _89119)], (416 ^ _75330) ^ [_90299, _90301] : [status(_90301, _90299, wca), 419 ^ _75330 : [(420 ^ _75330) ^ [_90462] : [model(_90462, _90301)], (423 ^ _75330) ^ [] : [-(model(421 ^ [_90299, _90301], _90299))], (426 ^ _75330) ^ [] : [model(424 ^ [_90299, _90301], _90299)]]], (401 ^ _75330) ^ [_89850, _89852] : [-(status(_89852, _89850, wca)), -(model(404 ^ [_89850, _89852], _89852)), 409 ^ _75330 : [(410 ^ _75330) ^ [_90113] : [model(_90113, _89850)]], 411 ^ _75330 : [(412 ^ _75330) ^ [_90175] : [-(model(_90175, _89850))]]], (438 ^ _75330) ^ [_91152, _91154] : [status(_91154, _91152, csa), 442 ^ _75330 : [(443 ^ _75330) ^ [] : [-(model(441 ^ [_91152, _91154], _91154))], (445 ^ _75330) ^ [] : [-(model(441 ^ [_91152, _91154], not _91152))]]], (428 ^ _75330) ^ [_90830, _90832] : [-(status(_90832, _90830, csa)), 429 ^ _75330 : [(430 ^ _75330) ^ [_90925] : [model(_90925, _90832), model(_90925, not _90830)]]], (459 ^ _75330) ^ [_91919, _91921] : [status(_91921, _91919, uns), 462 ^ _75330 : [(463 ^ _75330) ^ [_92070] : [-(model(_92070, _91921))], (465 ^ _75330) ^ [_92132] : [-(model(_92132, not _91919))]]], (447 ^ _75330) ^ [_91546, _91548] : [-(status(_91548, _91546, uns)), model(450 ^ [_91546, _91548], _91548), model(453 ^ [_91546, _91548], not _91546)], (485 ^ _75330) ^ [_92826, _92828] : [status(_92828, _92826, noc), 489 ^ _75330 : [(490 ^ _75330) ^ [] : [-(model(488 ^ [_92826, _92828], _92828))], (492 ^ _75330) ^ [] : [-(model(488 ^ [_92826, _92828], _92826))], (495 ^ _75330) ^ [] : [-(model(493 ^ [_92826, _92828], _92828))], (497 ^ _75330) ^ [] : [-(model(493 ^ [_92826, _92828], not _92826))]]], (467 ^ _75330) ^ [_92263, _92265] : [-(status(_92265, _92263, noc)), 470 ^ _75330 : [(471 ^ _75330) ^ [_92409] : [model(_92409, _92265), model(_92409, _92263)]], 476 ^ _75330 : [(477 ^ _75330) ^ [_92594] : [model(_92594, _92265), model(_92594, not _92263)]]]], input).
% 0.77/1.37  ncf('1',plain,[mighta(sat, thm)],start(689 ^ 0)).
% 0.77/1.37  ncf('1.1',plain,[-(mighta(sat, thm)), 501 : status(not 635 ^ [], not 635 ^ [], sat), 501 : status(not 635 ^ [], not 635 ^ [], thm)],extension(499 ^ 1,bind([[_93576, _93578, _93689, _93691], [thm, sat, not 635 ^ [], not 635 ^ []]]))).
% 0.77/1.37  ncf('1.1.1',plain,[-(status(not 635 ^ [], not 635 ^ [], sat)), 78 : model(639 ^ [], not 635 ^ []), 78 : model(639 ^ [], not 635 ^ [])],extension(76 ^ 4,bind([[_78143, _78145, _78236], [not 635 ^ [], not 635 ^ [], 639 ^ []]]))).
% 0.77/1.37  ncf('1.1.1.1',plain,[-(model(639 ^ [], not 635 ^ [])), 613 : -(model(639 ^ [], 635 ^ []))],extension(611 ^ 7,bind([[_98100, _98102], [635 ^ [], 639 ^ []]]))).
% 0.77/1.37  ncf('1.1.1.1.1',plain,[model(639 ^ [], 635 ^ [])],extension(641 ^ 10)).
% 0.77/1.37  ncf('1.1.1.2',plain,[-(model(639 ^ [], not 635 ^ [])), 613 : -(model(639 ^ [], 635 ^ []))],extension(611 ^ 7,bind([[_98100, _98102], [635 ^ [], 639 ^ []]]))).
% 0.77/1.37  ncf('1.1.1.2.1',plain,[model(639 ^ [], 635 ^ [])],extension(641 ^ 10)).
% 0.77/1.37  ncf('1.1.2',plain,[-(status(not 635 ^ [], not 635 ^ [], thm)), 98 : -(model(96 ^ [not 635 ^ [], not 635 ^ []], not 635 ^ []))],extension(95 ^ 4,bind([[_78847, _78849], [not 635 ^ [], not 635 ^ []]]))).
% 0.77/1.37  ncf('1.1.2.1',plain,[model(96 ^ [not 635 ^ [], not 635 ^ []], not 635 ^ [])],extension(100 ^ 7)).
% 0.77/1.37  %-----------------------------------------------------
% 0.77/1.37  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------