TSTP Solution File: KRS120+1 by nanoCoP---2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : nanoCoP---2.0
% Problem : KRS120+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : nanocop.sh %s %d
% Computer : n023.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 0.36s 1.37s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : KRS120+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.12 % Command : nanocop.sh %s %d
% 0.12/0.33 % Computer : n023.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 23:24:14 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.36/1.37
% 0.36/1.37 /export/starexec/sandbox/benchmark/theBenchmark.p is Unsatisfiable
% 0.36/1.37 Start of proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 ncf(matrix, plain, [(2 ^ _69527) ^ [_69631] : [-(_69631 = _69631)], (4 ^ _69527) ^ [_69738, _69740] : [_69740 = _69738, -(_69738 = _69740)], (10 ^ _69527) ^ [_69942, _69944, _69946] : [-(_69946 = _69942), _69946 = _69944, _69944 = _69942], (20 ^ _69527) ^ [_70255, _70257] : [-(cowlNothing(_70255)), _70257 = _70255, cowlNothing(_70257)], (30 ^ _69527) ^ [_70550, _70552] : [-(xsd_string(_70550)), _70552 = _70550, xsd_string(_70552)], (40 ^ _69527) ^ [_70845, _70847] : [-(xsd_integer(_70845)), _70847 = _70845, xsd_integer(_70847)], (50 ^ _69527) ^ [_71168, _71170, _71172, _71174] : [-(ra_Px1(_71172, _71168)), ra_Px1(_71174, _71170), _71174 = _71172, _71170 = _71168], (64 ^ _69527) ^ [_71584, _71586] : [-(ca_Ax2(_71584)), _71586 = _71584, ca_Ax2(_71586)], (74 ^ _69527) ^ [_71879, _71881] : [-(cp1(_71879)), _71881 = _71879, cp1(_71881)], (84 ^ _69527) ^ [_72174, _72176] : [-(ca_Vx3(_72174)), _72176 = _72174, ca_Vx3(_72176)], (94 ^ _69527) ^ [_72469, _72471] : [-(cp1xcomp(_72469)), _72471 = _72469, cp1xcomp(_72471)], (104 ^ _69527) ^ [_72764, _72766] : [-(cowlThing(_72764)), _72766 = _72764, cowlThing(_72766)], (114 ^ _69527) ^ [_73087, _73089, _73091, _73093] : [-(rinvF(_73091, _73087)), rinvF(_73093, _73089), _73093 = _73091, _73089 = _73087], (128 ^ _69527) ^ [_73531, _73533, _73535, _73537] : [-(rf(_73535, _73531)), rf(_73537, _73533), _73537 = _73535, _73533 = _73531], (142 ^ _69527) ^ [_73975, _73977, _73979, _73981] : [-(rinvR(_73979, _73975)), rinvR(_73981, _73977), _73981 = _73979, _73977 = _73975], (170 ^ _69527) ^ [_74815, _74817] : [-(cUnsatisfiable(_74815)), _74817 = _74815, cUnsatisfiable(_74817)], (156 ^ _69527) ^ [_74419, _74421, _74423, _74425] : [-(rr(_74423, _74419)), rr(_74425, _74421), _74425 = _74423, _74421 = _74419], (180 ^ _69527) ^ [_75142, _75144] : [-(cUnsatisfiable(_75142)), _75144 = _75142, cUnsatisfiable(_75144)], (190 ^ _69527) ^ [_75437, _75439] : [-(ca_Ax2(_75437)), _75439 = _75437, ca_Ax2(_75439)], (200 ^ _69527) ^ [_75732, _75734] : [-(ca_Vx3(_75732)), _75734 = _75732, ca_Vx3(_75734)], (210 ^ _69527) ^ [_76027, _76029] : [-(cowlNothing(_76027)), _76029 = _76027, cowlNothing(_76029)], (220 ^ _69527) ^ [_76322, _76324] : [-(cowlThing(_76322)), _76324 = _76322, cowlThing(_76324)], (230 ^ _69527) ^ [_76617, _76619] : [-(cp1(_76617)), _76619 = _76617, cp1(_76619)], (240 ^ _69527) ^ [_76912, _76914] : [-(cp1xcomp(_76912)), _76914 = _76912, cp1xcomp(_76914)], (250 ^ _69527) ^ [_77221, _77223, _77225] : [-(ra_Px1(_77223, _77221)), _77225 = _77223, ra_Px1(_77225, _77221)], (260 ^ _69527) ^ [_77544, _77546, _77548] : [-(ra_Px1(_77544, _77546)), _77548 = _77546, ra_Px1(_77544, _77548)], (270 ^ _69527) ^ [_77867, _77869, _77871] : [-(rf(_77869, _77867)), _77871 = _77869, rf(_77871, _77867)], (280 ^ _69527) ^ [_78190, _78192, _78194] : [-(rf(_78190, _78192)), _78194 = _78192, rf(_78190, _78194)], (290 ^ _69527) ^ [_78513, _78515, _78517] : [-(rinvF(_78515, _78513)), _78517 = _78515, rinvF(_78517, _78513)], (300 ^ _69527) ^ [_78836, _78838, _78840] : [-(rinvF(_78836, _78838)), _78840 = _78838, rinvF(_78836, _78840)], (310 ^ _69527) ^ [_79159, _79161, _79163] : [-(rinvR(_79161, _79159)), _79163 = _79161, rinvR(_79163, _79159)], (320 ^ _69527) ^ [_79482, _79484, _79486] : [-(rinvR(_79482, _79484)), _79486 = _79484, rinvR(_79482, _79486)], (330 ^ _69527) ^ [_79805, _79807, _79809] : [-(rr(_79807, _79805)), _79809 = _79807, rr(_79809, _79805)], (340 ^ _69527) ^ [_80128, _80130, _80132] : [-(rr(_80128, _80130)), _80132 = _80130, rr(_80128, _80132)], (350 ^ _69527) ^ [_80437, _80439] : [-(xsd_integer(_80437)), _80439 = _80437, xsd_integer(_80439)], (360 ^ _69527) ^ [_80732, _80734] : [-(xsd_string(_80732)), _80734 = _80732, xsd_string(_80734)], (370 ^ _69527) ^ [_81018] : [-(cowlThing(_81018))], (372 ^ _69527) ^ [_81060] : [cowlNothing(_81060)], (374 ^ _69527) ^ [_81183] : [xsd_string(_81183), xsd_integer(_81183)], (380 ^ _69527) ^ [_81336] : [-(xsd_integer(_81336)), -(xsd_string(_81336))], (386 ^ _69527) ^ [_81556] : [cUnsatisfiable(_81556), 390 ^ _69527 : [(391 ^ _69527) ^ [] : [-(rf(_81556, 389 ^ [_81556]))], (393 ^ _69527) ^ [] : [-(ca_Ax2(389 ^ [_81556]))]]], (395 ^ _69527) ^ [_81842] : [-(cUnsatisfiable(_81842)), 396 ^ _69527 : [(397 ^ _69527) ^ [_81930] : [rf(_81842, _81930), ca_Ax2(_81930)]]], (405 ^ _69527) ^ [_82204] : [cp1(_82204), 408 ^ _69527 : [(409 ^ _69527) ^ [_82315] : [ra_Px1(_82204, _82315)]]], (411 ^ _69527) ^ [_82381] : [-(ra_Px1(_82381, 412 ^ [_82381])), -(cp1(_82381))], (418 ^ _69527) ^ [_82654] : [cp1xcomp(_82654), -(ra_Px1(_82654, 421 ^ [_82654]))], (425 ^ _69527) ^ [_82859] : [426 ^ _69527 : [(427 ^ _69527) ^ [_82926] : [ra_Px1(_82859, _82926)]], -(cp1xcomp(_82859))], (431 ^ _69527) ^ [_83100] : [ca_Ax2(_83100), 435 ^ _69527 : [(436 ^ _69527) ^ [] : [-(rinvF(_83100, 434 ^ [_83100]))], (438 ^ _69527) ^ [] : [-(ca_Vx3(434 ^ [_83100]))], (440 ^ _69527) ^ [] : [-(cp1(_83100))]]], (442 ^ _69527) ^ [_83458] : [-(ca_Ax2(_83458)), cp1(_83458), 445 ^ _69527 : [(446 ^ _69527) ^ [_83583] : [rinvF(_83458, _83583), ca_Vx3(_83583)]]], (456 ^ _69527) ^ [_83903] : [ca_Vx3(_83903), 460 ^ _69527 : [(461 ^ _69527) ^ [] : [-(rf(_83903, 459 ^ [_83903]))], (463 ^ _69527) ^ [] : [-(cp1xcomp(459 ^ [_83903]))]]], (465 ^ _69527) ^ [_84189] : [-(ca_Vx3(_84189)), 466 ^ _69527 : [(467 ^ _69527) ^ [_84277] : [rf(_84189, _84277), cp1xcomp(_84277)]]], (475 ^ _69527) ^ [_84522] : [cowlThing(_84522), 478 ^ _69527 : [(479 ^ _69527) ^ [_84678, _84680] : [-(_84680 = _84678), rf(_84522, _84680), rf(_84522, _84678)]]], (489 ^ _69527) ^ [_85023, _85025] : [rinvF(_85025, _85023), -(rf(_85023, _85025))], (495 ^ _69527) ^ [_85185, _85187] : [rf(_85185, _85187), -(rinvF(_85187, _85185))], (523 ^ _69527) ^ [] : [-(cUnsatisfiable(i2003_11_14_17_21_48796))], (513 ^ _69527) ^ [_85814, _85816, _85818] : [-(rr(_85818, _85814)), rr(_85818, _85816), rr(_85816, _85814)], (501 ^ _69527) ^ [_85426, _85428] : [rinvR(_85428, _85426), -(rr(_85426, _85428))], (507 ^ _69527) ^ [_85588, _85590] : [rr(_85588, _85590), -(rinvR(_85590, _85588))]], input).
% 0.36/1.37 ncf('1',plain,[cp1(389 ^ [i2003_11_14_17_21_48796]), 409 : ra_Px1(389 ^ [i2003_11_14_17_21_48796], 421 ^ [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]])],start(405 ^ 0,bind([[_82204, _82315], [389 ^ [i2003_11_14_17_21_48796], 421 ^ [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]]]]))).
% 0.36/1.37 ncf('1.1',plain,[-(cp1(389 ^ [i2003_11_14_17_21_48796])), -(ra_Px1(389 ^ [i2003_11_14_17_21_48796], 412 ^ [389 ^ [i2003_11_14_17_21_48796]]))],extension(411 ^ 1,bind([[_82381], [389 ^ [i2003_11_14_17_21_48796]]]))).
% 0.36/1.37 ncf('1.1.1',plain,[ra_Px1(389 ^ [i2003_11_14_17_21_48796], 412 ^ [389 ^ [i2003_11_14_17_21_48796]]), -(ra_Px1(389 ^ [i2003_11_14_17_21_48796], 412 ^ [389 ^ [i2003_11_14_17_21_48796]])), 389 ^ [i2003_11_14_17_21_48796] = 389 ^ [i2003_11_14_17_21_48796], 412 ^ [389 ^ [i2003_11_14_17_21_48796]] = 412 ^ [389 ^ [i2003_11_14_17_21_48796]]],extension(50 ^ 2,bind([[_71168, _71170, _71172, _71174], [412 ^ [389 ^ [i2003_11_14_17_21_48796]], 412 ^ [389 ^ [i2003_11_14_17_21_48796]], 389 ^ [i2003_11_14_17_21_48796], 389 ^ [i2003_11_14_17_21_48796]]]))).
% 0.36/1.37 ncf('1.1.1.1',plain,[ra_Px1(389 ^ [i2003_11_14_17_21_48796], 412 ^ [389 ^ [i2003_11_14_17_21_48796]]), cp1(389 ^ [i2003_11_14_17_21_48796])],extension(405 ^ 3,bind([[_82204, _82315], [389 ^ [i2003_11_14_17_21_48796], 412 ^ [389 ^ [i2003_11_14_17_21_48796]]]]))).
% 0.36/1.37 ncf('1.1.1.1.1',plain,[-(cp1(389 ^ [i2003_11_14_17_21_48796])), ca_Ax2(389 ^ [i2003_11_14_17_21_48796])],extension(431 ^ 4,bind([[_83100], [389 ^ [i2003_11_14_17_21_48796]]]))).
% 0.36/1.37 ncf('1.1.1.1.1.1',plain,[-(ca_Ax2(389 ^ [i2003_11_14_17_21_48796])), cUnsatisfiable(i2003_11_14_17_21_48796)],extension(386 ^ 5,bind([[_81556], [i2003_11_14_17_21_48796]]))).
% 0.36/1.37 ncf('1.1.1.1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_48796))],extension(523 ^ 6)).
% 0.36/1.37 ncf('1.1.1.2',plain,[-(389 ^ [i2003_11_14_17_21_48796] = 389 ^ [i2003_11_14_17_21_48796])],extension(2 ^ 3,bind([[_69631], [389 ^ [i2003_11_14_17_21_48796]]]))).
% 0.36/1.37 ncf('1.1.1.3',plain,[-(412 ^ [389 ^ [i2003_11_14_17_21_48796]] = 412 ^ [389 ^ [i2003_11_14_17_21_48796]])],extension(2 ^ 3,bind([[_69631], [412 ^ [389 ^ [i2003_11_14_17_21_48796]]]]))).
% 0.36/1.37 ncf('1.2',plain,[-(ra_Px1(389 ^ [i2003_11_14_17_21_48796], 421 ^ [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]])), ra_Px1(459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]], 421 ^ [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]]), 459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]] = 389 ^ [i2003_11_14_17_21_48796], 421 ^ [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]] = 421 ^ [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]]],extension(50 ^ 3,bind([[_71168, _71170, _71172, _71174], [421 ^ [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]], 421 ^ [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]], 389 ^ [i2003_11_14_17_21_48796], 459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]]]))).
% 0.36/1.37 ncf('1.2.1',plain,[-(ra_Px1(459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]], 421 ^ [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]])), cp1xcomp(459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]])],extension(418 ^ 4,bind([[_82654], [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]]]))).
% 0.36/1.37 ncf('1.2.1.1',plain,[-(cp1xcomp(459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]])), ca_Vx3(434 ^ [389 ^ [i2003_11_14_17_21_48796]])],extension(456 ^ 5,bind([[_83903], [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]]))).
% 0.36/1.37 ncf('1.2.1.1.1',plain,[-(ca_Vx3(434 ^ [389 ^ [i2003_11_14_17_21_48796]])), ca_Ax2(389 ^ [i2003_11_14_17_21_48796])],extension(431 ^ 6,bind([[_83100], [389 ^ [i2003_11_14_17_21_48796]]]))).
% 0.36/1.37 ncf('1.2.1.1.1.1',plain,[-(ca_Ax2(389 ^ [i2003_11_14_17_21_48796])), cUnsatisfiable(i2003_11_14_17_21_48796)],extension(386 ^ 7,bind([[_81556], [i2003_11_14_17_21_48796]]))).
% 0.36/1.37 ncf('1.2.1.1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_48796))],extension(523 ^ 8)).
% 0.36/1.37 ncf('1.2.2',plain,[-(459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]] = 389 ^ [i2003_11_14_17_21_48796]), 479 : rf(434 ^ [389 ^ [i2003_11_14_17_21_48796]], 459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]), 479 : rf(434 ^ [389 ^ [i2003_11_14_17_21_48796]], 389 ^ [i2003_11_14_17_21_48796]), 479 : cowlThing(434 ^ [389 ^ [i2003_11_14_17_21_48796]])],extension(475 ^ 4,bind([[_84522, _84678, _84680], [434 ^ [389 ^ [i2003_11_14_17_21_48796]], 389 ^ [i2003_11_14_17_21_48796], 459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]]]))).
% 0.36/1.37 ncf('1.2.2.1',plain,[-(rf(434 ^ [389 ^ [i2003_11_14_17_21_48796]], 459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]])), ca_Vx3(434 ^ [389 ^ [i2003_11_14_17_21_48796]])],extension(456 ^ 7,bind([[_83903], [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]]))).
% 0.36/1.37 ncf('1.2.2.1.1',plain,[-(ca_Vx3(434 ^ [389 ^ [i2003_11_14_17_21_48796]])), ca_Ax2(389 ^ [i2003_11_14_17_21_48796])],extension(431 ^ 8,bind([[_83100], [389 ^ [i2003_11_14_17_21_48796]]]))).
% 0.36/1.37 ncf('1.2.2.1.1.1',plain,[-(ca_Ax2(389 ^ [i2003_11_14_17_21_48796])), cUnsatisfiable(i2003_11_14_17_21_48796)],extension(386 ^ 9,bind([[_81556], [i2003_11_14_17_21_48796]]))).
% 0.36/1.37 ncf('1.2.2.1.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_48796))],extension(523 ^ 10)).
% 0.36/1.37 ncf('1.2.2.2',plain,[-(rf(434 ^ [389 ^ [i2003_11_14_17_21_48796]], 389 ^ [i2003_11_14_17_21_48796])), rinvF(389 ^ [i2003_11_14_17_21_48796], 434 ^ [389 ^ [i2003_11_14_17_21_48796]])],extension(489 ^ 7,bind([[_85023, _85025], [434 ^ [389 ^ [i2003_11_14_17_21_48796]], 389 ^ [i2003_11_14_17_21_48796]]]))).
% 0.36/1.37 ncf('1.2.2.2.1',plain,[-(rinvF(389 ^ [i2003_11_14_17_21_48796], 434 ^ [389 ^ [i2003_11_14_17_21_48796]])), ca_Ax2(389 ^ [i2003_11_14_17_21_48796])],extension(431 ^ 8,bind([[_83100], [389 ^ [i2003_11_14_17_21_48796]]]))).
% 0.36/1.37 ncf('1.2.2.2.1.1',plain,[-(ca_Ax2(389 ^ [i2003_11_14_17_21_48796])), cUnsatisfiable(i2003_11_14_17_21_48796)],extension(386 ^ 9,bind([[_81556], [i2003_11_14_17_21_48796]]))).
% 0.36/1.37 ncf('1.2.2.2.1.1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_21_48796))],extension(523 ^ 10)).
% 0.36/1.37 ncf('1.2.2.3',plain,[-(cowlThing(434 ^ [389 ^ [i2003_11_14_17_21_48796]]))],extension(370 ^ 5,bind([[_81018], [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]]))).
% 0.36/1.37 ncf('1.2.3',plain,[-(421 ^ [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]] = 421 ^ [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]])],extension(2 ^ 4,bind([[_69631], [421 ^ [459 ^ [434 ^ [389 ^ [i2003_11_14_17_21_48796]]]]]]))).
% 0.36/1.37 %-----------------------------------------------------
% 0.36/1.37 End of proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
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