%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS188+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : nanocop.sh %s %d

% Computer : n018.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 11:26:27 EDT 2023

% Result   : Theorem 8.68s 8.63s
% Output   : Proof 8.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : KRS188+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.14/0.13  % Command  : nanocop.sh %s %d
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May 18 23:06:58 EDT 2023
% 0.21/0.35  % CPUTime  : 
% 8.68/8.63  
% 8.68/8.63  /export/starexec/sandbox2/benchmark/theBenchmark.p is a Theorem
% 8.68/8.63  Start of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.68/8.63  %-----------------------------------------------------
% 8.68/8.63  ncf(matrix, plain, [(689 ^ _75095) ^ [] : [isa(wec, thm)], (509 ^ _75095) ^ [_93686, _93688] : [mighta(_93688, _93686), 514 ^ _75095 : [(515 ^ _75095) ^ [] : [-(status(512 ^ [_93686, _93688], 513 ^ [_93686, _93688], _93688))], (517 ^ _75095) ^ [] : [-(status(512 ^ [_93686, _93688], 513 ^ [_93686, _93688], _93686))]]], (499 ^ _75095) ^ [_93341, _93343] : [-(mighta(_93343, _93341)), 500 ^ _75095 : [(501 ^ _75095) ^ [_93454, _93456] : [status(_93456, _93454, _93343), status(_93456, _93454, _93341)]]], (519 ^ _75095) ^ [_94169, _94171] : [522 ^ _75095 : [(523 ^ _75095) ^ [] : [-(status(520 ^ [_94169, _94171], 521 ^ [_94169, _94171], _94171))], (525 ^ _75095) ^ [] : [status(520 ^ [_94169, _94171], 521 ^ [_94169, _94171], _94169)]], -(isa(_94171, _94169))], (529 ^ _75095) ^ [_94573, _94575] : [isa(_94575, _94573), 532 ^ _75095 : [(533 ^ _75095) ^ [_94731, _94733] : [status(_94733, _94731, _94575), -(status(_94733, _94731, _94573))]]], (549 ^ _75095) ^ [_95347, _95349] : [nota(_95349, _95347), 554 ^ _75095 : [(555 ^ _75095) ^ [] : [-(status(552 ^ [_95347, _95349], 553 ^ [_95347, _95349], _95349))], (557 ^ _75095) ^ [] : [status(552 ^ [_95347, _95349], 553 ^ [_95347, _95349], _95347)]]], (539 ^ _75095) ^ [_94997, _94999] : [-(nota(_94999, _94997)), 540 ^ _75095 : [(541 ^ _75095) ^ [_95112, _95114] : [status(_95114, _95112, _94999), -(status(_95114, _95112, _94997))]]], (559 ^ _75095) ^ [_95835, _95837] : [562 ^ _75095 : [(563 ^ _75095) ^ [] : [-(status(560 ^ [_95835, _95837], 561 ^ [_95835, _95837], _95837))], (565 ^ _75095) ^ [] : [-(status(560 ^ [_95835, _95837], 561 ^ [_95835, _95837], _95835))]], -(nevera(_95837, _95835))], (569 ^ _75095) ^ [_96246, _96248] : [nevera(_96248, _96246), 572 ^ _75095 : [(573 ^ _75095) ^ [_96406, _96408] : [status(_96408, _96406, _96248), status(_96408, _96406, _96246)]]], (597 ^ _75095) ^ [_97289, _97291] : [xora(_97291, _97289), 600 ^ _75095 : [(601 ^ _75095) ^ [_97458, _97460] : [602 ^ _75095 : [(603 ^ _75095) ^ [] : [-(status(_97460, _97458, _97291))], (605 ^ _75095) ^ [] : [status(_97460, _97458, _97289)]], 606 ^ _75095 : [(607 ^ _75095) ^ [] : [-(status(_97460, _97458, _97289))], (609 ^ _75095) ^ [] : [status(_97460, _97458, _97291)]]]]], (579 ^ _75095) ^ [_96673, _96675] : [-(xora(_96675, _96673)), 582 ^ _75095 : [(583 ^ _75095) ^ [] : [status(580 ^ [_96673, _96675], 581 ^ [_96673, _96675], _96675), -(status(580 ^ [_96673, _96675], 581 ^ [_96673, _96675], _96673))], (589 ^ _75095) ^ [] : [status(580 ^ [_96673, _96675], 581 ^ [_96673, _96675], _96673), -(status(580 ^ [_96673, _96675], 581 ^ [_96673, _96675], _96675))]]], (611 ^ _75095) ^ [_97865, _97867] : [612 ^ _75095 : [(613 ^ _75095) ^ [] : [-(model(_97867, _97865))], (615 ^ _75095) ^ [] : [model(_97867, not _97865)]], 616 ^ _75095 : [(617 ^ _75095) ^ [] : [-(model(_97867, not _97865))], (619 ^ _75095) ^ [] : [model(_97867, _97865)]]], (621 ^ _75095) ^ [_98261, _98263] : [model(_98263, _98261), model(_98263, not _98261)], (627 ^ _75095) ^ [_98428, _98430] : [-(model(_98430, not _98428)), -(model(_98430, _98428))], (634 ^ _75095) ^ [_98660] : [-(model(_98660, 632 ^ []))], (638 ^ _75095) ^ [] : [-(model(636 ^ [], 635 ^ []))], (641 ^ _75095) ^ [] : [model(639 ^ [], 635 ^ [])], (644 ^ _75095) ^ [_99019] : [model(_99019, 642 ^ [])], (649 ^ _75095) ^ [] : [-(model(647 ^ [], 645 ^ []))], (651 ^ _75095) ^ [] : [-(model(647 ^ [], 646 ^ []))], (654 ^ _75095) ^ [] : [model(652 ^ [], 645 ^ []), model(652 ^ [], 646 ^ [])], (682 ^ _75095) ^ [] : [-(model(678 ^ [], 679 ^ []))], (684 ^ _75095) ^ [] : [model(678 ^ [], 680 ^ [])], (687 ^ _75095) ^ [] : [-(model(685 ^ [], 680 ^ []))], (663 ^ _75095) ^ [] : [-(model(661 ^ [], 659 ^ []))], (672 ^ _75095) ^ [] : [model(670 ^ [], 659 ^ [])], (674 ^ _75095) ^ [] : [-(model(670 ^ [], 660 ^ []))], (677 ^ _75095) ^ [] : [model(675 ^ [], 660 ^ [])], (665 ^ _75095) ^ [_99872] : [model(_99872, 659 ^ []), -(model(_99872, 660 ^ []))], (2 ^ _75095) ^ [_75257, _75259] : [3 ^ _75095 : [(4 ^ _75095) ^ [_75363] : [model(_75363, _75259)], (7 ^ _75095) ^ [] : [-(model(5 ^ [_75257, _75259], _75257))]], -(status(_75259, _75257, unp))], (11 ^ _75095) ^ [_75578, _75580] : [status(_75580, _75578, unp), -(model(16 ^ [_75578, _75580], _75580)), 19 ^ _75095 : [(20 ^ _75095) ^ [_75842] : [model(_75842, _75578)]]], (22 ^ _75095) ^ [_75993, _75995] : [24 ^ _75095 : [(25 ^ _75095) ^ [] : [-(model(23 ^ [_75993, _75995], _75995))], (27 ^ _75095) ^ [_76193] : [model(_76193, _75993)]], -(status(_75995, _75993, sap))], (31 ^ _75095) ^ [_76310, _76312] : [status(_76312, _76310, sap), 36 ^ _75095 : [(37 ^ _75095) ^ [_76472] : [model(_76472, _76312)]], -(model(38 ^ [_76310, _76312], _76310))], (42 ^ _75095) ^ [_76721, _76723] : [-(status(_76723, _76721, esa)), 46 ^ _75095 : [(47 ^ _75095) ^ [] : [-(model(45 ^ [_76721, _76723], _76723))], (49 ^ _75095) ^ [_76964] : [model(_76964, _76721)]], 51 ^ _75095 : [(52 ^ _75095) ^ [] : [-(model(50 ^ [_76721, _76723], _76721))], (54 ^ _75095) ^ [_77145] : [model(_77145, _76723)]]], (58 ^ _75095) ^ [_77267, _77269] : [status(_77269, _77267, esa), 61 ^ _75095 : [(62 ^ _75095) ^ [] : [63 ^ _75095 : [(64 ^ _75095) ^ [_77458] : [model(_77458, _77269)]], -(model(65 ^ [_77267, _77269], _77267))], (69 ^ _75095) ^ [] : [70 ^ _75095 : [(71 ^ _75095) ^ [_77656] : [model(_77656, _77267)]], -(model(72 ^ [_77267, _77269], _77269))]]], (86 ^ _75095) ^ [_78224, _78226] : [status(_78226, _78224, sat), 90 ^ _75095 : [(91 ^ _75095) ^ [] : [-(model(89 ^ [_78224, _78226], _78226))], (93 ^ _75095) ^ [] : [-(model(89 ^ [_78224, _78226], _78224))]]], (76 ^ _75095) ^ [_77908, _77910] : [-(status(_77910, _77908, sat)), 77 ^ _75095 : [(78 ^ _75095) ^ [_78001] : [model(_78001, _77910), model(_78001, _77908)]]], (95 ^ _75095) ^ [_78612, _78614] : [97 ^ _75095 : [(98 ^ _75095) ^ [] : [-(model(96 ^ [_78612, _78614], _78614))], (100 ^ _75095) ^ [] : [model(96 ^ [_78612, _78614], _78612)]], -(status(_78614, _78612, thm))], (104 ^ _75095) ^ [_78921, _78923] : [status(_78923, _78921, thm), 107 ^ _75095 : [(108 ^ _75095) ^ [_79060] : [model(_79060, _78923), -(model(_79060, _78921))]]], (114 ^ _75095) ^ [_79316, _79318] : [-(status(_79318, _79316, eqv)), 117 ^ _75095 : [(118 ^ _75095) ^ [_79438] : [model(_79438, _79318)]], 122 ^ _75095 : [(123 ^ _75095) ^ [] : [-(model(119 ^ [_79316, _79318], _79318))], (125 ^ _75095) ^ [] : [model(119 ^ [_79316, _79318], _79316)]], 126 ^ _75095 : [(127 ^ _75095) ^ [] : [-(model(119 ^ [_79316, _79318], _79316))], (129 ^ _75095) ^ [] : [model(119 ^ [_79316, _79318], _79318)]]], (133 ^ _75095) ^ [_79911, _79913] : [status(_79913, _79911, eqv), 137 ^ _75095 : [(138 ^ _75095) ^ [] : [-(model(136 ^ [_79911, _79913], _79913))], (140 ^ _75095) ^ [_80208] : [model(_80208, _79913), -(model(_80208, _79911))], (146 ^ _75095) ^ [_80380] : [model(_80380, _79911), -(model(_80380, _79913))]]], (163 ^ _75095) ^ [_80972, _80974] : [status(_80974, _80972, tac), 167 ^ _75095 : [(168 ^ _75095) ^ [] : [-(model(166 ^ [_80972, _80974], _80974))], (170 ^ _75095) ^ [_81219] : [-(model(_81219, _80972))]]], (152 ^ _75095) ^ [_80640, _80642] : [-(status(_80642, _80640, tac)), 155 ^ _75095 : [(156 ^ _75095) ^ [_80756] : [model(_80756, _80642)]], model(157 ^ [_80640, _80642], _80640)], (193 ^ _75095) ^ [_82034, _82036] : [status(_82036, _82034, wec), 197 ^ _75095 : [(198 ^ _75095) ^ [] : [-(model(196 ^ [_82034, _82036], _82036))], (207 ^ _75095) ^ [] : [-(model(205 ^ [_82034, _82036], _82034))], (209 ^ _75095) ^ [] : [model(205 ^ [_82034, _82036], _82036)], (200 ^ _75095) ^ [_82341] : [model(_82341, _82036), -(model(_82341, _82034))]]], (172 ^ _75095) ^ [_81368, _81370] : [-(status(_81370, _81368, wec)), 175 ^ _75095 : [(176 ^ _75095) ^ [_81509] : [model(_81509, _81370)]], 180 ^ _75095 : [(181 ^ _75095) ^ [] : [-(model(179 ^ [_81368, _81370], _81370))], (183 ^ _75095) ^ [] : [model(179 ^ [_81368, _81370], _81368)]], 184 ^ _75095 : [(185 ^ _75095) ^ [_81798] : [model(_81798, _81368), -(model(_81798, _81370))]]], (211 ^ _75095) ^ [_82783, _82785] : [-(status(_82785, _82783, eth)), 214 ^ _75095 : [(215 ^ _75095) ^ [_82918] : [model(_82918, _82785)]], 218 ^ _75095 : [(219 ^ _75095) ^ [_83014] : [-(model(_83014, _82785))]], 223 ^ _75095 : [(224 ^ _75095) ^ [] : [-(model(220 ^ [_82783, _82785], _82785))], (226 ^ _75095) ^ [] : [model(220 ^ [_82783, _82785], _82783)]], 227 ^ _75095 : [(228 ^ _75095) ^ [] : [-(model(220 ^ [_82783, _82785], _82783))], (230 ^ _75095) ^ [] : [model(220 ^ [_82783, _82785], _82785)]]], (234 ^ _75095) ^ [_83492, _83494] : [status(_83494, _83492, eth), 238 ^ _75095 : [(239 ^ _75095) ^ [] : [-(model(237 ^ [_83492, _83494], _83494))], (242 ^ _75095) ^ [] : [model(240 ^ [_83492, _83494], _83494)], (244 ^ _75095) ^ [_83921] : [model(_83921, _83494), -(model(_83921, _83492))], (250 ^ _75095) ^ [_84093] : [model(_84093, _83492), -(model(_84093, _83494))]]], (267 ^ _75095) ^ [_84678, _84680] : [status(_84680, _84678, tau), 270 ^ _75095 : [(271 ^ _75095) ^ [_84822] : [-(model(_84822, _84680))], (273 ^ _75095) ^ [_84870] : [-(model(_84870, _84678))]]], (256 ^ _75095) ^ [_84355, _84357] : [-(status(_84357, _84355, tau)), model(257 ^ [_84355, _84357], _84357), model(257 ^ [_84355, _84357], _84355)], (290 ^ _75095) ^ [_85465, _85467] : [status(_85467, _85465, wtc), 294 ^ _75095 : [(295 ^ _75095) ^ [] : [-(model(293 ^ [_85465, _85467], _85467))], (298 ^ _75095) ^ [] : [model(296 ^ [_85465, _85467], _85467)], (300 ^ _75095) ^ [_85844] : [-(model(_85844, _85465))]]], (275 ^ _75095) ^ [_85019, _85021] : [-(status(_85021, _85019, wtc)), 278 ^ _75095 : [(279 ^ _75095) ^ [_85148] : [model(_85148, _85021)]], 282 ^ _75095 : [(283 ^ _75095) ^ [_85244] : [-(model(_85244, _85021))]], model(284 ^ [_85019, _85021], _85019)], (327 ^ _75095) ^ [_86775, _86777] : [status(_86777, _86775, wth), 331 ^ _75095 : [(332 ^ _75095) ^ [] : [-(model(330 ^ [_86775, _86777], _86777))], (341 ^ _75095) ^ [] : [-(model(339 ^ [_86775, _86777], _86775))], (343 ^ _75095) ^ [] : [model(339 ^ [_86775, _86777], _86777)], (346 ^ _75095) ^ [] : [model(344 ^ [_86775, _86777], _86775)], (334 ^ _75095) ^ [_87095] : [model(_87095, _86777), -(model(_87095, _86775))]]], (302 ^ _75095) ^ [_85995, _85997] : [-(status(_85997, _85995, wth)), 305 ^ _75095 : [(306 ^ _75095) ^ [_86149] : [model(_86149, _85997)]], 310 ^ _75095 : [(311 ^ _75095) ^ [] : [-(model(309 ^ [_85995, _85997], _85997))], (313 ^ _75095) ^ [] : [model(309 ^ [_85995, _85997], _85995)]], 322 ^ _75095 : [(323 ^ _75095) ^ [_86645] : [-(model(_86645, _85995))]], 316 ^ _75095 : [(317 ^ _75095) ^ [_86472] : [model(_86472, _85995), -(model(_86472, _85997))]]], (348 ^ _75095) ^ [_87662, _87664] : [-(model(349 ^ [_87662, _87664], _87664)), -(status(_87664, _87662, cax))], (355 ^ _75095) ^ [_87886, _87888] : [status(_87888, _87886, cax), 358 ^ _75095 : [(359 ^ _75095) ^ [_88005] : [model(_88005, _87888)]]], (372 ^ _75095) ^ [_88487, _88489] : [status(_88489, _88487, sca), 375 ^ _75095 : [(376 ^ _75095) ^ [_88637] : [model(_88637, _88489)], (379 ^ _75095) ^ [] : [-(model(377 ^ [_88487, _88489], _88487))]]], (361 ^ _75095) ^ [_88152, _88154] : [-(status(_88154, _88152, sca)), -(model(364 ^ [_88152, _88154], _88154)), 367 ^ _75095 : [(368 ^ _75095) ^ [_88368] : [model(_88368, _88152)]]], (393 ^ _75095) ^ [_89254, _89256] : [status(_89256, _89254, tca), 396 ^ _75095 : [(397 ^ _75095) ^ [_89404] : [model(_89404, _89256)], (399 ^ _75095) ^ [_89466] : [-(model(_89466, _89254))]]], (381 ^ _75095) ^ [_88884, _88886] : [-(status(_88886, _88884, tca)), -(model(384 ^ [_88884, _88886], _88886)), model(387 ^ [_88884, _88886], _88884)], (416 ^ _75095) ^ [_90064, _90066] : [status(_90066, _90064, wca), 419 ^ _75095 : [(420 ^ _75095) ^ [_90227] : [model(_90227, _90066)], (423 ^ _75095) ^ [] : [-(model(421 ^ [_90064, _90066], _90064))], (426 ^ _75095) ^ [] : [model(424 ^ [_90064, _90066], _90064)]]], (401 ^ _75095) ^ [_89615, _89617] : [-(status(_89617, _89615, wca)), -(model(404 ^ [_89615, _89617], _89617)), 409 ^ _75095 : [(410 ^ _75095) ^ [_89878] : [model(_89878, _89615)]], 411 ^ _75095 : [(412 ^ _75095) ^ [_89940] : [-(model(_89940, _89615))]]], (438 ^ _75095) ^ [_90917, _90919] : [status(_90919, _90917, csa), 442 ^ _75095 : [(443 ^ _75095) ^ [] : [-(model(441 ^ [_90917, _90919], _90919))], (445 ^ _75095) ^ [] : [-(model(441 ^ [_90917, _90919], not _90917))]]], (428 ^ _75095) ^ [_90595, _90597] : [-(status(_90597, _90595, csa)), 429 ^ _75095 : [(430 ^ _75095) ^ [_90690] : [model(_90690, _90597), model(_90690, not _90595)]]], (459 ^ _75095) ^ [_91684, _91686] : [status(_91686, _91684, uns), 462 ^ _75095 : [(463 ^ _75095) ^ [_91835] : [-(model(_91835, _91686))], (465 ^ _75095) ^ [_91897] : [-(model(_91897, not _91684))]]], (447 ^ _75095) ^ [_91311, _91313] : [-(status(_91313, _91311, uns)), model(450 ^ [_91311, _91313], _91313), model(453 ^ [_91311, _91313], not _91311)], (485 ^ _75095) ^ [_92591, _92593] : [status(_92593, _92591, noc), 489 ^ _75095 : [(490 ^ _75095) ^ [] : [-(model(488 ^ [_92591, _92593], _92593))], (492 ^ _75095) ^ [] : [-(model(488 ^ [_92591, _92593], _92591))], (495 ^ _75095) ^ [] : [-(model(493 ^ [_92591, _92593], _92593))], (497 ^ _75095) ^ [] : [-(model(493 ^ [_92591, _92593], not _92591))]]], (467 ^ _75095) ^ [_92028, _92030] : [-(status(_92030, _92028, noc)), 470 ^ _75095 : [(471 ^ _75095) ^ [_92174] : [model(_92174, _92030), model(_92174, _92028)]], 476 ^ _75095 : [(477 ^ _75095) ^ [_92359] : [model(_92359, _92030), model(_92359, not _92028)]]]], input).
% 8.68/8.63  ncf('1',plain,[isa(wec, thm)],start(689 ^ 0)).
% 8.68/8.63  ncf('1.1',plain,[-(isa(wec, thm)), 523 : -(status(520 ^ [thm, wec], 521 ^ [thm, wec], wec))],extension(519 ^ 1,bind([[_94169, _94171], [thm, wec]]))).
% 8.68/8.63  ncf('1.1.1',plain,[status(520 ^ [thm, wec], 521 ^ [thm, wec], wec), 200 : model(96 ^ [521 ^ [thm, wec], 520 ^ [thm, wec]], 520 ^ [thm, wec]), 200 : -(model(96 ^ [521 ^ [thm, wec], 520 ^ [thm, wec]], 521 ^ [thm, wec]))],extension(193 ^ 4,bind([[_82034, _82036, _82341], [521 ^ [thm, wec], 520 ^ [thm, wec], 96 ^ [521 ^ [thm, wec], 520 ^ [thm, wec]]]]))).
% 8.68/8.63  ncf('1.1.1.1',plain,[-(model(96 ^ [521 ^ [thm, wec], 520 ^ [thm, wec]], 520 ^ [thm, wec])), -(status(520 ^ [thm, wec], 521 ^ [thm, wec], thm))],extension(95 ^ 7,bind([[_78612, _78614], [521 ^ [thm, wec], 520 ^ [thm, wec]]]))).
% 8.68/8.63  ncf('1.1.1.1.1',plain,[status(520 ^ [thm, wec], 521 ^ [thm, wec], thm)],extension(525 ^ 8)).
% 8.68/8.63  ncf('1.1.1.2',plain,[model(96 ^ [521 ^ [thm, wec], 520 ^ [thm, wec]], 521 ^ [thm, wec]), -(status(520 ^ [thm, wec], 521 ^ [thm, wec], thm))],extension(95 ^ 7,bind([[_78612, _78614], [521 ^ [thm, wec], 520 ^ [thm, wec]]]))).
% 8.68/8.63  ncf('1.1.1.2.1',plain,[status(520 ^ [thm, wec], 521 ^ [thm, wec], thm)],extension(525 ^ 8)).
% 8.68/8.63  %-----------------------------------------------------
% 8.68/8.63  End of proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------