TSTP Solution File: KRS121+1 by nanoCoP---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : nanoCoP---2.0
% Problem  : KRS121+1 : TPTP v8.1.2. Released v3.1.0.
% 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 11:26:19 EDT 2023

% Result   : Unsatisfiable 3.03s 3.47s
% Output   : Proof 3.03s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : KRS121+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.14  % Command  : nanocop.sh %s %d
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May 18 22:58:48 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 3.03/3.47  
% 3.03/3.47  /export/starexec/sandbox/benchmark/theBenchmark.p is Unsatisfiable
% 3.03/3.47  Start of proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.03/3.47  %-----------------------------------------------------
% 3.03/3.47  ncf(matrix, plain, [(2 ^ _67377) ^ [_67481] : [-(_67481 = _67481)], (4 ^ _67377) ^ [_67588, _67590] : [_67590 = _67588, -(_67588 = _67590)], (10 ^ _67377) ^ [_67792, _67794, _67796] : [-(_67796 = _67792), _67796 = _67794, _67794 = _67792], (20 ^ _67377) ^ [_68105, _68107] : [-(cowlThing(_68105)), _68107 = _68105, cowlThing(_68107)], (30 ^ _67377) ^ [_68400, _68402] : [-(cowlNothing(_68400)), _68402 = _68400, cowlNothing(_68402)], (40 ^ _67377) ^ [_68695, _68697] : [-(xsd_string(_68695)), _68697 = _68695, xsd_string(_68697)], (50 ^ _67377) ^ [_68990, _68992] : [-(xsd_integer(_68990)), _68992 = _68990, xsd_integer(_68992)], (60 ^ _67377) ^ [_69313, _69315, _69317, _69319] : [-(ra_Px1(_69317, _69313)), ra_Px1(_69319, _69315), _69319 = _69317, _69315 = _69313], (74 ^ _67377) ^ [_69729, _69731] : [-(cp1(_69729)), _69731 = _69729, cp1(_69731)], (84 ^ _67377) ^ [_70024, _70026] : [-(cp1xcomp(_70024)), _70026 = _70024, cp1xcomp(_70026)], (94 ^ _67377) ^ [_70319, _70321] : [-(ca_Vx3(_70319)), _70321 = _70319, ca_Vx3(_70321)], (104 ^ _67377) ^ [_70614, _70616] : [-(ca_Ax2(_70614)), _70616 = _70614, ca_Ax2(_70616)], (114 ^ _67377) ^ [_70937, _70939, _70941, _70943] : [-(rinvF(_70941, _70937)), rinvF(_70943, _70939), _70943 = _70941, _70939 = _70937], (128 ^ _67377) ^ [_71381, _71383, _71385, _71387] : [-(rf(_71385, _71381)), rf(_71387, _71383), _71387 = _71385, _71383 = _71381], (142 ^ _67377) ^ [_71825, _71827, _71829, _71831] : [-(rinvR(_71829, _71825)), rinvR(_71831, _71827), _71831 = _71829, _71827 = _71825], (170 ^ _67377) ^ [_72665, _72667] : [-(cUnsatisfiable(_72665)), _72667 = _72665, cUnsatisfiable(_72667)], (156 ^ _67377) ^ [_72269, _72271, _72273, _72275] : [-(rr(_72273, _72269)), rr(_72275, _72271), _72275 = _72273, _72271 = _72269], (180 ^ _67377) ^ [_72992, _72994] : [-(cUnsatisfiable(_72992)), _72994 = _72992, cUnsatisfiable(_72994)], (190 ^ _67377) ^ [_73287, _73289] : [-(ca_Ax2(_73287)), _73289 = _73287, ca_Ax2(_73289)], (200 ^ _67377) ^ [_73582, _73584] : [-(ca_Vx3(_73582)), _73584 = _73582, ca_Vx3(_73584)], (210 ^ _67377) ^ [_73877, _73879] : [-(cowlNothing(_73877)), _73879 = _73877, cowlNothing(_73879)], (220 ^ _67377) ^ [_74172, _74174] : [-(cowlThing(_74172)), _74174 = _74172, cowlThing(_74174)], (230 ^ _67377) ^ [_74467, _74469] : [-(cp1(_74467)), _74469 = _74467, cp1(_74469)], (240 ^ _67377) ^ [_74762, _74764] : [-(cp1xcomp(_74762)), _74764 = _74762, cp1xcomp(_74764)], (250 ^ _67377) ^ [_75071, _75073, _75075] : [-(ra_Px1(_75073, _75071)), _75075 = _75073, ra_Px1(_75075, _75071)], (260 ^ _67377) ^ [_75394, _75396, _75398] : [-(ra_Px1(_75394, _75396)), _75398 = _75396, ra_Px1(_75394, _75398)], (270 ^ _67377) ^ [_75717, _75719, _75721] : [-(rf(_75719, _75717)), _75721 = _75719, rf(_75721, _75717)], (280 ^ _67377) ^ [_76040, _76042, _76044] : [-(rf(_76040, _76042)), _76044 = _76042, rf(_76040, _76044)], (290 ^ _67377) ^ [_76363, _76365, _76367] : [-(rinvF(_76365, _76363)), _76367 = _76365, rinvF(_76367, _76363)], (300 ^ _67377) ^ [_76686, _76688, _76690] : [-(rinvF(_76686, _76688)), _76690 = _76688, rinvF(_76686, _76690)], (310 ^ _67377) ^ [_77009, _77011, _77013] : [-(rinvR(_77011, _77009)), _77013 = _77011, rinvR(_77013, _77009)], (320 ^ _67377) ^ [_77332, _77334, _77336] : [-(rinvR(_77332, _77334)), _77336 = _77334, rinvR(_77332, _77336)], (330 ^ _67377) ^ [_77655, _77657, _77659] : [-(rr(_77657, _77655)), _77659 = _77657, rr(_77659, _77655)], (340 ^ _67377) ^ [_77978, _77980, _77982] : [-(rr(_77978, _77980)), _77982 = _77980, rr(_77978, _77982)], (350 ^ _67377) ^ [_78287, _78289] : [-(xsd_integer(_78287)), _78289 = _78287, xsd_integer(_78289)], (360 ^ _67377) ^ [_78582, _78584] : [-(xsd_string(_78582)), _78584 = _78582, xsd_string(_78584)], (370 ^ _67377) ^ [_78868] : [-(cowlThing(_78868))], (372 ^ _67377) ^ [_78910] : [cowlNothing(_78910)], (374 ^ _67377) ^ [_79033] : [xsd_string(_79033), xsd_integer(_79033)], (380 ^ _67377) ^ [_79186] : [-(xsd_integer(_79186)), -(xsd_string(_79186))], (386 ^ _67377) ^ [_79406] : [cUnsatisfiable(_79406), 390 ^ _67377 : [(391 ^ _67377) ^ [] : [-(rr(_79406, 389 ^ [_79406]))], (393 ^ _67377) ^ [] : [-(ca_Vx3(389 ^ [_79406]))], (395 ^ _67377) ^ [] : [-(cp1(_79406))]]], (397 ^ _67377) ^ [_79764] : [-(cUnsatisfiable(_79764)), cp1(_79764), 400 ^ _67377 : [(401 ^ _67377) ^ [_79889] : [rr(_79764, _79889), ca_Vx3(_79889)]]], (411 ^ _67377) ^ [_80209] : [cp1(_80209), 414 ^ _67377 : [(415 ^ _67377) ^ [_80320] : [ra_Px1(_80209, _80320)]]], (417 ^ _67377) ^ [_80386] : [-(ra_Px1(_80386, 418 ^ [_80386])), -(cp1(_80386))], (424 ^ _67377) ^ [_80659] : [cp1xcomp(_80659), -(ra_Px1(_80659, 427 ^ [_80659]))], (431 ^ _67377) ^ [_80864] : [432 ^ _67377 : [(433 ^ _67377) ^ [_80931] : [ra_Px1(_80864, _80931)]], -(cp1xcomp(_80864))], (437 ^ _67377) ^ [_81105] : [ca_Ax2(_81105), 440 ^ _67377 : [(441 ^ _67377) ^ [] : [-(cp1(_81105))], (443 ^ _67377) ^ [_81303] : [rinvR(_81105, _81303), -(cp1xcomp(_81303))]]], (449 ^ _67377) ^ [_81472] : [-(ca_Ax2(_81472)), cp1(_81472), 455 ^ _67377 : [(456 ^ _67377) ^ [] : [-(rinvR(_81472, 454 ^ [_81472]))], (458 ^ _67377) ^ [] : [cp1xcomp(454 ^ [_81472])]]], (462 ^ _67377) ^ [_81906] : [ca_Vx3(_81906), 466 ^ _67377 : [(467 ^ _67377) ^ [] : [-(rr(_81906, 465 ^ [_81906]))], (469 ^ _67377) ^ [] : [-(ca_Ax2(465 ^ [_81906]))]]], (471 ^ _67377) ^ [_82192] : [-(ca_Vx3(_82192)), 472 ^ _67377 : [(473 ^ _67377) ^ [_82280] : [rr(_82192, _82280), ca_Ax2(_82280)]]], (481 ^ _67377) ^ [_82553, _82555, _82557] : [-(_82555 = _82553), rf(_82557, _82555), rf(_82557, _82553)], (491 ^ _67377) ^ [_82891, _82893] : [rinvF(_82893, _82891), -(rf(_82891, _82893))], (497 ^ _67377) ^ [_83053, _83055] : [rf(_83053, _83055), -(rinvF(_83055, _83053))], (525 ^ _67377) ^ [] : [-(cUnsatisfiable(i2003_11_14_17_21_5199))], (515 ^ _67377) ^ [_83682, _83684, _83686] : [-(rr(_83686, _83682)), rr(_83686, _83684), rr(_83684, _83682)], (503 ^ _67377) ^ [_83294, _83296] : [rinvR(_83296, _83294), -(rr(_83294, _83296))], (509 ^ _67377) ^ [_83456, _83458] : [rr(_83456, _83458), -(rinvR(_83458, _83456))]], input).
% 3.03/3.47  ncf('1',plain,[cp1(i2003_11_14_17_21_5199), 415 : ra_Px1(i2003_11_14_17_21_5199, 427 ^ [i2003_11_14_17_21_5199])],start(411 ^ 0,bind([[_80209, _80320], [i2003_11_14_17_21_5199, 427 ^ [i2003_11_14_17_21_5199]]]))).
% 3.03/3.47  ncf('1.1',plain,[-(cp1(i2003_11_14_17_21_5199)), cUnsatisfiable(i2003_11_14_17_21_5199)],extension(386 ^ 1,bind([[_79406], [i2003_11_14_17_21_5199]]))).
% 3.03/3.47  ncf('1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_5199))],extension(525 ^ 2)).
% 3.03/3.47  ncf('1.2',plain,[-(ra_Px1(i2003_11_14_17_21_5199, 427 ^ [i2003_11_14_17_21_5199])), cp1xcomp(i2003_11_14_17_21_5199)],extension(424 ^ 3,bind([[_80659], [i2003_11_14_17_21_5199]]))).
% 3.03/3.47  ncf('1.2.1',plain,[-(cp1xcomp(i2003_11_14_17_21_5199)), 443 : rinvR(465 ^ [389 ^ [i2003_11_14_17_21_5199]], i2003_11_14_17_21_5199), 443 : ca_Ax2(465 ^ [389 ^ [i2003_11_14_17_21_5199]])],extension(437 ^ 4,bind([[_81105, _81303], [465 ^ [389 ^ [i2003_11_14_17_21_5199]], i2003_11_14_17_21_5199]]))).
% 3.03/3.47  ncf('1.2.1.1',plain,[-(rinvR(465 ^ [389 ^ [i2003_11_14_17_21_5199]], i2003_11_14_17_21_5199)), rr(i2003_11_14_17_21_5199, 465 ^ [389 ^ [i2003_11_14_17_21_5199]])],extension(509 ^ 7,bind([[_83456, _83458], [i2003_11_14_17_21_5199, 465 ^ [389 ^ [i2003_11_14_17_21_5199]]]]))).
% 3.03/3.47  ncf('1.2.1.1.1',plain,[-(rr(i2003_11_14_17_21_5199, 465 ^ [389 ^ [i2003_11_14_17_21_5199]])), rr(i2003_11_14_17_21_5199, 389 ^ [i2003_11_14_17_21_5199]), rr(389 ^ [i2003_11_14_17_21_5199], 465 ^ [389 ^ [i2003_11_14_17_21_5199]])],extension(515 ^ 8,bind([[_83682, _83684, _83686], [465 ^ [389 ^ [i2003_11_14_17_21_5199]], 389 ^ [i2003_11_14_17_21_5199], i2003_11_14_17_21_5199]]))).
% 3.03/3.47  ncf('1.2.1.1.1.1',plain,[-(rr(i2003_11_14_17_21_5199, 389 ^ [i2003_11_14_17_21_5199])), rr(i2003_11_14_17_21_5199, 389 ^ [i2003_11_14_17_21_5199]), i2003_11_14_17_21_5199 = i2003_11_14_17_21_5199, 389 ^ [i2003_11_14_17_21_5199] = 389 ^ [i2003_11_14_17_21_5199]],extension(156 ^ 9,bind([[_72269, _72271, _72273, _72275], [389 ^ [i2003_11_14_17_21_5199], 389 ^ [i2003_11_14_17_21_5199], i2003_11_14_17_21_5199, i2003_11_14_17_21_5199]]))).
% 3.03/3.47  ncf('1.2.1.1.1.1.1',plain,[-(rr(i2003_11_14_17_21_5199, 389 ^ [i2003_11_14_17_21_5199])), cUnsatisfiable(i2003_11_14_17_21_5199)],extension(386 ^ 10,bind([[_79406], [i2003_11_14_17_21_5199]]))).
% 3.03/3.47  ncf('1.2.1.1.1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_5199))],extension(525 ^ 11)).
% 3.03/3.47  ncf('1.2.1.1.1.1.2',plain,[-(i2003_11_14_17_21_5199 = i2003_11_14_17_21_5199)],extension(2 ^ 10,bind([[_67481], [i2003_11_14_17_21_5199]]))).
% 3.03/3.47  ncf('1.2.1.1.1.1.3',plain,[-(389 ^ [i2003_11_14_17_21_5199] = 389 ^ [i2003_11_14_17_21_5199])],extension(2 ^ 10,bind([[_67481], [389 ^ [i2003_11_14_17_21_5199]]]))).
% 3.03/3.47  ncf('1.2.1.1.1.2',plain,[-(rr(389 ^ [i2003_11_14_17_21_5199], 465 ^ [389 ^ [i2003_11_14_17_21_5199]])), ca_Vx3(389 ^ [i2003_11_14_17_21_5199])],extension(462 ^ 9,bind([[_81906], [389 ^ [i2003_11_14_17_21_5199]]]))).
% 3.03/3.47  ncf('1.2.1.1.1.2.1',plain,[-(ca_Vx3(389 ^ [i2003_11_14_17_21_5199])), cUnsatisfiable(i2003_11_14_17_21_5199)],extension(386 ^ 10,bind([[_79406], [i2003_11_14_17_21_5199]]))).
% 3.03/3.47  ncf('1.2.1.1.1.2.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_5199))],extension(525 ^ 11)).
% 3.03/3.47  ncf('1.2.1.2',plain,[-(ca_Ax2(465 ^ [389 ^ [i2003_11_14_17_21_5199]])), ca_Vx3(389 ^ [i2003_11_14_17_21_5199])],extension(462 ^ 5,bind([[_81906], [389 ^ [i2003_11_14_17_21_5199]]]))).
% 3.03/3.47  ncf('1.2.1.2.1',plain,[-(ca_Vx3(389 ^ [i2003_11_14_17_21_5199])), cUnsatisfiable(i2003_11_14_17_21_5199)],extension(386 ^ 6,bind([[_79406], [i2003_11_14_17_21_5199]]))).
% 3.03/3.47  ncf('1.2.1.2.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_5199))],extension(525 ^ 7)).
% 3.03/3.47  %-----------------------------------------------------
% 3.03/3.47  End of proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------