TSTP Solution File: KRS119+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% 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 11:26:18 EDT 2023

% Result   : Unsatisfiable 2.89s 3.43s
% Output   : Proof 2.89s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : KRS119+1 : TPTP v8.1.2. Released v3.1.0.
% 0.10/0.12  % Command  : nanocop.sh %s %d
% 0.12/0.32  % Computer : n010.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % 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 22:48:27 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 2.89/3.43  
% 2.89/3.43  /export/starexec/sandbox/benchmark/theBenchmark.p is Unsatisfiable
% 2.89/3.43  Start of proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.89/3.43  %-----------------------------------------------------
% 2.89/3.43  ncf(matrix, plain, [(2 ^ _67721) ^ [_67825] : [-(_67825 = _67825)], (4 ^ _67721) ^ [_67932, _67934] : [_67934 = _67932, -(_67932 = _67934)], (10 ^ _67721) ^ [_68136, _68138, _68140] : [-(_68140 = _68136), _68140 = _68138, _68138 = _68136], (20 ^ _67721) ^ [_68449, _68451] : [-(cowlNothing(_68449)), _68451 = _68449, cowlNothing(_68451)], (30 ^ _67721) ^ [_68744, _68746] : [-(xsd_string(_68744)), _68746 = _68744, xsd_string(_68746)], (40 ^ _67721) ^ [_69039, _69041] : [-(xsd_integer(_69039)), _69041 = _69039, xsd_integer(_69041)], (50 ^ _67721) ^ [_69362, _69364, _69366, _69368] : [-(ra_Px1(_69366, _69362)), ra_Px1(_69368, _69364), _69368 = _69366, _69364 = _69362], (64 ^ _67721) ^ [_69778, _69780] : [-(cp1(_69778)), _69780 = _69778, cp1(_69780)], (74 ^ _67721) ^ [_70073, _70075] : [-(cp1xcomp(_70073)), _70075 = _70073, cp1xcomp(_70075)], (84 ^ _67721) ^ [_70368, _70370] : [-(ca_Vx3(_70368)), _70370 = _70368, ca_Vx3(_70370)], (94 ^ _67721) ^ [_70663, _70665] : [-(ca_Ax2(_70663)), _70665 = _70663, ca_Ax2(_70665)], (104 ^ _67721) ^ [_70958, _70960] : [-(cowlThing(_70958)), _70960 = _70958, cowlThing(_70960)], (114 ^ _67721) ^ [_71281, _71283, _71285, _71287] : [-(rinvF(_71285, _71281)), rinvF(_71287, _71283), _71287 = _71285, _71283 = _71281], (128 ^ _67721) ^ [_71725, _71727, _71729, _71731] : [-(rf(_71729, _71725)), rf(_71731, _71727), _71731 = _71729, _71727 = _71725], (142 ^ _67721) ^ [_72169, _72171, _72173, _72175] : [-(rinvR(_72173, _72169)), rinvR(_72175, _72171), _72175 = _72173, _72171 = _72169], (170 ^ _67721) ^ [_73009, _73011] : [-(cUnsatisfiable(_73009)), _73011 = _73009, cUnsatisfiable(_73011)], (156 ^ _67721) ^ [_72613, _72615, _72617, _72619] : [-(rr(_72617, _72613)), rr(_72619, _72615), _72619 = _72617, _72615 = _72613], (180 ^ _67721) ^ [_73336, _73338] : [-(cUnsatisfiable(_73336)), _73338 = _73336, cUnsatisfiable(_73338)], (190 ^ _67721) ^ [_73631, _73633] : [-(ca_Ax2(_73631)), _73633 = _73631, ca_Ax2(_73633)], (200 ^ _67721) ^ [_73926, _73928] : [-(ca_Vx3(_73926)), _73928 = _73926, ca_Vx3(_73928)], (210 ^ _67721) ^ [_74221, _74223] : [-(cowlNothing(_74221)), _74223 = _74221, cowlNothing(_74223)], (220 ^ _67721) ^ [_74516, _74518] : [-(cowlThing(_74516)), _74518 = _74516, cowlThing(_74518)], (230 ^ _67721) ^ [_74811, _74813] : [-(cp1(_74811)), _74813 = _74811, cp1(_74813)], (240 ^ _67721) ^ [_75106, _75108] : [-(cp1xcomp(_75106)), _75108 = _75106, cp1xcomp(_75108)], (250 ^ _67721) ^ [_75415, _75417, _75419] : [-(ra_Px1(_75417, _75415)), _75419 = _75417, ra_Px1(_75419, _75415)], (260 ^ _67721) ^ [_75738, _75740, _75742] : [-(ra_Px1(_75738, _75740)), _75742 = _75740, ra_Px1(_75738, _75742)], (270 ^ _67721) ^ [_76061, _76063, _76065] : [-(rf(_76063, _76061)), _76065 = _76063, rf(_76065, _76061)], (280 ^ _67721) ^ [_76384, _76386, _76388] : [-(rf(_76384, _76386)), _76388 = _76386, rf(_76384, _76388)], (290 ^ _67721) ^ [_76707, _76709, _76711] : [-(rinvF(_76709, _76707)), _76711 = _76709, rinvF(_76711, _76707)], (300 ^ _67721) ^ [_77030, _77032, _77034] : [-(rinvF(_77030, _77032)), _77034 = _77032, rinvF(_77030, _77034)], (310 ^ _67721) ^ [_77353, _77355, _77357] : [-(rinvR(_77355, _77353)), _77357 = _77355, rinvR(_77357, _77353)], (320 ^ _67721) ^ [_77676, _77678, _77680] : [-(rinvR(_77676, _77678)), _77680 = _77678, rinvR(_77676, _77680)], (330 ^ _67721) ^ [_77999, _78001, _78003] : [-(rr(_78001, _77999)), _78003 = _78001, rr(_78003, _77999)], (340 ^ _67721) ^ [_78322, _78324, _78326] : [-(rr(_78322, _78324)), _78326 = _78324, rr(_78322, _78326)], (350 ^ _67721) ^ [_78631, _78633] : [-(xsd_integer(_78631)), _78633 = _78631, xsd_integer(_78633)], (360 ^ _67721) ^ [_78926, _78928] : [-(xsd_string(_78926)), _78928 = _78926, xsd_string(_78928)], (370 ^ _67721) ^ [_79212] : [-(cowlThing(_79212))], (372 ^ _67721) ^ [_79254] : [cowlNothing(_79254)], (374 ^ _67721) ^ [_79377] : [xsd_string(_79377), xsd_integer(_79377)], (380 ^ _67721) ^ [_79530] : [-(xsd_integer(_79530)), -(xsd_string(_79530))], (386 ^ _67721) ^ [_79750] : [cUnsatisfiable(_79750), 390 ^ _67721 : [(391 ^ _67721) ^ [] : [-(rr(_79750, 389 ^ [_79750]))], (393 ^ _67721) ^ [] : [-(ca_Vx3(389 ^ [_79750]))], (395 ^ _67721) ^ [] : [-(cp1(_79750))]]], (397 ^ _67721) ^ [_80108] : [-(cUnsatisfiable(_80108)), cp1(_80108), 400 ^ _67721 : [(401 ^ _67721) ^ [_80233] : [rr(_80108, _80233), ca_Vx3(_80233)]]], (411 ^ _67721) ^ [_80553] : [cp1(_80553), 414 ^ _67721 : [(415 ^ _67721) ^ [_80664] : [ra_Px1(_80553, _80664)]]], (417 ^ _67721) ^ [_80730] : [-(ra_Px1(_80730, 418 ^ [_80730])), -(cp1(_80730))], (424 ^ _67721) ^ [_81003] : [cp1xcomp(_81003), -(ra_Px1(_81003, 427 ^ [_81003]))], (431 ^ _67721) ^ [_81208] : [432 ^ _67721 : [(433 ^ _67721) ^ [_81275] : [ra_Px1(_81208, _81275)]], -(cp1xcomp(_81208))], (437 ^ _67721) ^ [_81449] : [ca_Ax2(_81449), 440 ^ _67721 : [(441 ^ _67721) ^ [] : [-(cp1(_81449))], (443 ^ _67721) ^ [_81647] : [rinvR(_81449, _81647), -(cp1xcomp(_81647))]]], (449 ^ _67721) ^ [_81816] : [-(ca_Ax2(_81816)), cp1(_81816), 455 ^ _67721 : [(456 ^ _67721) ^ [] : [-(rinvR(_81816, 454 ^ [_81816]))], (458 ^ _67721) ^ [] : [cp1xcomp(454 ^ [_81816])]]], (462 ^ _67721) ^ [_82250] : [ca_Vx3(_82250), 466 ^ _67721 : [(467 ^ _67721) ^ [] : [-(rr(_82250, 465 ^ [_82250]))], (469 ^ _67721) ^ [] : [-(ca_Ax2(465 ^ [_82250]))]]], (471 ^ _67721) ^ [_82536] : [-(ca_Vx3(_82536)), 472 ^ _67721 : [(473 ^ _67721) ^ [_82624] : [rr(_82536, _82624), ca_Ax2(_82624)]]], (481 ^ _67721) ^ [_82869] : [cowlThing(_82869), 484 ^ _67721 : [(485 ^ _67721) ^ [_83025, _83027] : [-(_83027 = _83025), rf(_82869, _83027), rf(_82869, _83025)]]], (495 ^ _67721) ^ [_83370, _83372] : [rinvF(_83372, _83370), -(rf(_83370, _83372))], (501 ^ _67721) ^ [_83532, _83534] : [rf(_83532, _83534), -(rinvF(_83534, _83532))], (529 ^ _67721) ^ [] : [-(cUnsatisfiable(i2003_11_14_17_21_44786))], (519 ^ _67721) ^ [_84161, _84163, _84165] : [-(rr(_84165, _84161)), rr(_84165, _84163), rr(_84163, _84161)], (507 ^ _67721) ^ [_83773, _83775] : [rinvR(_83775, _83773), -(rr(_83773, _83775))], (513 ^ _67721) ^ [_83935, _83937] : [rr(_83935, _83937), -(rinvR(_83937, _83935))]], input).
% 2.89/3.43  ncf('1',plain,[cp1(i2003_11_14_17_21_44786), 415 : ra_Px1(i2003_11_14_17_21_44786, 427 ^ [i2003_11_14_17_21_44786])],start(411 ^ 0,bind([[_80553, _80664], [i2003_11_14_17_21_44786, 427 ^ [i2003_11_14_17_21_44786]]]))).
% 2.89/3.43  ncf('1.1',plain,[-(cp1(i2003_11_14_17_21_44786)), cUnsatisfiable(i2003_11_14_17_21_44786)],extension(386 ^ 1,bind([[_79750], [i2003_11_14_17_21_44786]]))).
% 2.89/3.43  ncf('1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_44786))],extension(529 ^ 2)).
% 2.89/3.43  ncf('1.2',plain,[-(ra_Px1(i2003_11_14_17_21_44786, 427 ^ [i2003_11_14_17_21_44786])), cp1xcomp(i2003_11_14_17_21_44786)],extension(424 ^ 3,bind([[_81003], [i2003_11_14_17_21_44786]]))).
% 2.89/3.43  ncf('1.2.1',plain,[-(cp1xcomp(i2003_11_14_17_21_44786)), 443 : rinvR(465 ^ [389 ^ [i2003_11_14_17_21_44786]], i2003_11_14_17_21_44786), 443 : ca_Ax2(465 ^ [389 ^ [i2003_11_14_17_21_44786]])],extension(437 ^ 4,bind([[_81449, _81647], [465 ^ [389 ^ [i2003_11_14_17_21_44786]], i2003_11_14_17_21_44786]]))).
% 2.89/3.43  ncf('1.2.1.1',plain,[-(rinvR(465 ^ [389 ^ [i2003_11_14_17_21_44786]], i2003_11_14_17_21_44786)), rr(i2003_11_14_17_21_44786, 465 ^ [389 ^ [i2003_11_14_17_21_44786]])],extension(513 ^ 7,bind([[_83935, _83937], [i2003_11_14_17_21_44786, 465 ^ [389 ^ [i2003_11_14_17_21_44786]]]]))).
% 2.89/3.43  ncf('1.2.1.1.1',plain,[-(rr(i2003_11_14_17_21_44786, 465 ^ [389 ^ [i2003_11_14_17_21_44786]])), rr(i2003_11_14_17_21_44786, 389 ^ [i2003_11_14_17_21_44786]), rr(389 ^ [i2003_11_14_17_21_44786], 465 ^ [389 ^ [i2003_11_14_17_21_44786]])],extension(519 ^ 8,bind([[_84161, _84163, _84165], [465 ^ [389 ^ [i2003_11_14_17_21_44786]], 389 ^ [i2003_11_14_17_21_44786], i2003_11_14_17_21_44786]]))).
% 2.89/3.43  ncf('1.2.1.1.1.1',plain,[-(rr(i2003_11_14_17_21_44786, 389 ^ [i2003_11_14_17_21_44786])), rr(i2003_11_14_17_21_44786, 389 ^ [i2003_11_14_17_21_44786]), i2003_11_14_17_21_44786 = i2003_11_14_17_21_44786, 389 ^ [i2003_11_14_17_21_44786] = 389 ^ [i2003_11_14_17_21_44786]],extension(156 ^ 9,bind([[_72613, _72615, _72617, _72619], [389 ^ [i2003_11_14_17_21_44786], 389 ^ [i2003_11_14_17_21_44786], i2003_11_14_17_21_44786, i2003_11_14_17_21_44786]]))).
% 2.89/3.43  ncf('1.2.1.1.1.1.1',plain,[-(rr(i2003_11_14_17_21_44786, 389 ^ [i2003_11_14_17_21_44786])), cUnsatisfiable(i2003_11_14_17_21_44786)],extension(386 ^ 10,bind([[_79750], [i2003_11_14_17_21_44786]]))).
% 2.89/3.43  ncf('1.2.1.1.1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_44786))],extension(529 ^ 11)).
% 2.89/3.43  ncf('1.2.1.1.1.1.2',plain,[-(i2003_11_14_17_21_44786 = i2003_11_14_17_21_44786)],extension(2 ^ 10,bind([[_67825], [i2003_11_14_17_21_44786]]))).
% 2.89/3.43  ncf('1.2.1.1.1.1.3',plain,[-(389 ^ [i2003_11_14_17_21_44786] = 389 ^ [i2003_11_14_17_21_44786])],extension(2 ^ 10,bind([[_67825], [389 ^ [i2003_11_14_17_21_44786]]]))).
% 2.89/3.43  ncf('1.2.1.1.1.2',plain,[-(rr(389 ^ [i2003_11_14_17_21_44786], 465 ^ [389 ^ [i2003_11_14_17_21_44786]])), ca_Vx3(389 ^ [i2003_11_14_17_21_44786])],extension(462 ^ 9,bind([[_82250], [389 ^ [i2003_11_14_17_21_44786]]]))).
% 2.89/3.43  ncf('1.2.1.1.1.2.1',plain,[-(ca_Vx3(389 ^ [i2003_11_14_17_21_44786])), cUnsatisfiable(i2003_11_14_17_21_44786)],extension(386 ^ 10,bind([[_79750], [i2003_11_14_17_21_44786]]))).
% 2.89/3.43  ncf('1.2.1.1.1.2.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_44786))],extension(529 ^ 11)).
% 2.89/3.43  ncf('1.2.1.2',plain,[-(ca_Ax2(465 ^ [389 ^ [i2003_11_14_17_21_44786]])), ca_Vx3(389 ^ [i2003_11_14_17_21_44786])],extension(462 ^ 5,bind([[_82250], [389 ^ [i2003_11_14_17_21_44786]]]))).
% 2.89/3.43  ncf('1.2.1.2.1',plain,[-(ca_Vx3(389 ^ [i2003_11_14_17_21_44786])), cUnsatisfiable(i2003_11_14_17_21_44786)],extension(386 ^ 6,bind([[_79750], [i2003_11_14_17_21_44786]]))).
% 2.89/3.43  ncf('1.2.1.2.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_44786))],extension(529 ^ 7)).
% 2.89/3.43  %-----------------------------------------------------
% 2.89/3.43  End of proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------