TSTP Solution File: KRS106+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : KRS106+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n020.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 : 600s
% DateTime : Sun Jul 17 03:13:42 EDT 2022
% Result : Unsatisfiable 0.88s 1.40s
% Output : Proof 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : KRS106+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n020.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 : 600
% 0.12/0.33 % DateTime : Tue Jun 7 14:11:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.88/1.40 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.88/1.40 % SZS output start Proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.88/1.41
% 0.88/1.41 %-----------------------------------------------------
% 0.88/1.41 fof(axiom_2, axiom, ! [_45806] : (cUnsatisfiable(_45806) <=> ? [_45821] : (rf3(_45806, _45821) & cp2(_45821)) & ? [_45821] : (rf1(_45806, _45821) & cp1(_45821)) & ? [_45821] : (rf2(_45806, _45821) & cp1xcomp(_45821))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_2)).
% 0.88/1.41 fof(ra_Px1_substitution_1, axiom, ! [_46192, _46195, _46198] : (_46192 = _46195 & ra_Px1(_46192, _46198) => ra_Px1(_46195, _46198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', ra_Px1_substitution_1)).
% 0.88/1.41 fof(rf3_substitution_2, axiom, ! [_46379, _46382, _46385] : (_46379 = _46382 & rf3(_46385, _46379) => rf3(_46385, _46382)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', rf3_substitution_2)).
% 0.88/1.41 fof(axiom_3, axiom, ! [_46578] : (cp1(_46578) <=> ~ ? [_46595] : ra_Px1(_46578, _46595)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_3)).
% 0.88/1.41 fof(axiom_4, axiom, ! [_46744] : (cp1xcomp(_46744) <=> ? [_46759] : ra_Px1(_46744, _46759)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_4)).
% 0.88/1.41 fof(axiom_5, axiom, ! [_46903, _46906, _46909] : (rf1(_46903, _46906) & rf1(_46903, _46909) => _46906 = _46909), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_5)).
% 0.88/1.41 fof(axiom_6, axiom, ! [_47084, _47087, _47090] : (rf2(_47084, _47087) & rf2(_47084, _47090) => _47087 = _47090), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_6)).
% 0.88/1.41 fof(axiom_7, axiom, ! [_47265, _47268, _47271] : (rf3(_47265, _47268) & rf3(_47265, _47271) => _47268 = _47271), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_7)).
% 0.88/1.41 fof(axiom_8, axiom, cUnsatisfiable(i2003_11_14_17_20_57644), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_8)).
% 0.88/1.41 fof(axiom_9, axiom, ! [_47493, _47496] : (rf3(_47493, _47496) => rf1(_47493, _47496)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_9)).
% 0.88/1.41 fof(axiom_10, axiom, ! [_47639, _47642] : (rf3(_47639, _47642) => rf2(_47639, _47642)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', axiom_10)).
% 0.88/1.41
% 0.88/1.41 cnf(1, plain, [-(4 ^ [_26283]), -(cp1xcomp(3 ^ [_26283]))], clausify(axiom_2)).
% 0.88/1.41 cnf(2, plain, [-(4 ^ [_26283]), -(rf2(_26283, 3 ^ [_26283]))], clausify(axiom_2)).
% 0.88/1.41 cnf(3, plain, [-(4 ^ [_26283]), -(cp1(2 ^ [_26283]))], clausify(axiom_2)).
% 0.88/1.41 cnf(4, plain, [-(4 ^ [_26283]), -(rf1(_26283, 2 ^ [_26283]))], clausify(axiom_2)).
% 0.88/1.41 cnf(5, plain, [-(4 ^ [_26283]), -(rf3(_26283, 1 ^ [_26283]))], clausify(axiom_2)).
% 0.88/1.41 cnf(6, plain, [-(ra_Px1(_21447, _21502)), _21391 = _21447, ra_Px1(_21391, _21502)], clausify(ra_Px1_substitution_1)).
% 0.88/1.41 cnf(7, plain, [-(rf3(_24771, _24716)), _24660 = _24716, rf3(_24771, _24660)], clausify(rf3_substitution_2)).
% 0.88/1.41 cnf(8, plain, [cUnsatisfiable(_26283), 4 ^ [_26283]], clausify(axiom_2)).
% 0.88/1.41 cnf(9, plain, [cp1(_27017), ra_Px1(_27017, _27110)], clausify(axiom_3)).
% 0.88/1.41 cnf(10, plain, [cp1xcomp(_27318), -(ra_Px1(_27318, 6 ^ [_27318]))], clausify(axiom_4)).
% 0.88/1.41 cnf(11, plain, [-(_27657 = _27712), rf1(_27601, _27657), rf1(_27601, _27712)], clausify(axiom_5)).
% 0.88/1.41 cnf(12, plain, [-(_28124 = _28179), rf2(_28068, _28124), rf2(_28068, _28179)], clausify(axiom_6)).
% 0.88/1.41 cnf(13, plain, [-(_28591 = _28646), rf3(_28535, _28591), rf3(_28535, _28646)], clausify(axiom_7)).
% 0.88/1.41 cnf(14, plain, [-(cUnsatisfiable(i2003_11_14_17_20_57644))], clausify(axiom_8)).
% 0.88/1.41 cnf(15, plain, [rf3(_29114, _29159), -(rf1(_29114, _29159))], clausify(axiom_9)).
% 0.88/1.41 cnf(16, plain, [rf3(_29414, _29459), -(rf2(_29414, _29459))], clausify(axiom_10)).
% 0.88/1.41 cnf(17, plain, [-(_13056 = _13056)], theory(equality)).
% 0.88/1.41 cnf(18, plain, [-(rf3(_17877, _18008)), rf3(_17810, _17943), _17810 = _17877, _17943 = _18008], theory(equality)).
% 0.88/1.41
% 0.88/1.41 cnf('1',plain,[cUnsatisfiable(i2003_11_14_17_20_57644), 4 ^ [i2003_11_14_17_20_57644]],start(8,bind([[_26283], [i2003_11_14_17_20_57644]]))).
% 0.88/1.41 cnf('1.1',plain,[-(cUnsatisfiable(i2003_11_14_17_20_57644))],extension(14)).
% 0.88/1.41 cnf('1.2',plain,[-(4 ^ [i2003_11_14_17_20_57644]), -(rf3(i2003_11_14_17_20_57644, 1 ^ [i2003_11_14_17_20_57644]))],extension(5,bind([[_26283], [i2003_11_14_17_20_57644]]))).
% 0.88/1.41 cnf('1.2.1',plain,[rf3(i2003_11_14_17_20_57644, 1 ^ [i2003_11_14_17_20_57644]), -(rf3(i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644])), 1 ^ [i2003_11_14_17_20_57644] = 3 ^ [i2003_11_14_17_20_57644]],extension(7,bind([[_24771, _24660, _24716], [i2003_11_14_17_20_57644, 1 ^ [i2003_11_14_17_20_57644], 3 ^ [i2003_11_14_17_20_57644]]]))).
% 0.88/1.41 cnf('1.2.1.1',plain,[rf3(i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644]), -(3 ^ [i2003_11_14_17_20_57644] = 2 ^ [i2003_11_14_17_20_57644]), rf3(i2003_11_14_17_20_57644, 2 ^ [i2003_11_14_17_20_57644])],extension(13,bind([[_28591, _28535, _28646], [3 ^ [i2003_11_14_17_20_57644], i2003_11_14_17_20_57644, 2 ^ [i2003_11_14_17_20_57644]]]))).
% 0.88/1.41 cnf('1.2.1.1.1',plain,[3 ^ [i2003_11_14_17_20_57644] = 2 ^ [i2003_11_14_17_20_57644], -(ra_Px1(2 ^ [i2003_11_14_17_20_57644], 6 ^ [3 ^ [i2003_11_14_17_20_57644]])), ra_Px1(3 ^ [i2003_11_14_17_20_57644], 6 ^ [3 ^ [i2003_11_14_17_20_57644]])],extension(6,bind([[_21447, _21391, _21502], [2 ^ [i2003_11_14_17_20_57644], 3 ^ [i2003_11_14_17_20_57644], 6 ^ [3 ^ [i2003_11_14_17_20_57644]]]]))).
% 0.88/1.41 cnf('1.2.1.1.1.1',plain,[ra_Px1(2 ^ [i2003_11_14_17_20_57644], 6 ^ [3 ^ [i2003_11_14_17_20_57644]]), cp1(2 ^ [i2003_11_14_17_20_57644])],extension(9,bind([[_27110, _27017], [6 ^ [3 ^ [i2003_11_14_17_20_57644]], 2 ^ [i2003_11_14_17_20_57644]]]))).
% 0.88/1.41 cnf('1.2.1.1.1.1.1',plain,[-(cp1(2 ^ [i2003_11_14_17_20_57644])), -(4 ^ [i2003_11_14_17_20_57644])],extension(3,bind([[_26283], [i2003_11_14_17_20_57644]]))).
% 0.88/1.41 cnf('1.2.1.1.1.1.1.1',plain,[4 ^ [i2003_11_14_17_20_57644]],reduction('1')).
% 0.88/1.41 cnf('1.2.1.1.1.2',plain,[-(ra_Px1(3 ^ [i2003_11_14_17_20_57644], 6 ^ [3 ^ [i2003_11_14_17_20_57644]])), cp1xcomp(3 ^ [i2003_11_14_17_20_57644])],extension(10,bind([[_27318], [3 ^ [i2003_11_14_17_20_57644]]]))).
% 0.88/1.41 cnf('1.2.1.1.1.2.1',plain,[-(cp1xcomp(3 ^ [i2003_11_14_17_20_57644])), -(4 ^ [i2003_11_14_17_20_57644])],extension(1,bind([[_26283], [i2003_11_14_17_20_57644]]))).
% 0.88/1.41 cnf('1.2.1.1.1.2.1.1',plain,[4 ^ [i2003_11_14_17_20_57644]],reduction('1')).
% 0.88/1.41 cnf('1.2.1.1.2',plain,[-(rf3(i2003_11_14_17_20_57644, 2 ^ [i2003_11_14_17_20_57644])), rf3(i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644]), i2003_11_14_17_20_57644 = i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644] = 2 ^ [i2003_11_14_17_20_57644]],extension(18,bind([[_17810, _17877, _17943, _18008], [i2003_11_14_17_20_57644, i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644], 2 ^ [i2003_11_14_17_20_57644]]]))).
% 0.88/1.41 cnf('1.2.1.1.2.1',plain,[-(rf3(i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644]))],reduction('1.2.1')).
% 0.88/1.41 cnf('1.2.1.1.2.2',plain,[-(i2003_11_14_17_20_57644 = i2003_11_14_17_20_57644)],extension(17,bind([[_13056], [i2003_11_14_17_20_57644]]))).
% 0.88/1.41 cnf('1.2.1.1.2.3',plain,[-(3 ^ [i2003_11_14_17_20_57644] = 2 ^ [i2003_11_14_17_20_57644]), rf1(i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644]), rf1(i2003_11_14_17_20_57644, 2 ^ [i2003_11_14_17_20_57644])],extension(11,bind([[_27657, _27601, _27712], [3 ^ [i2003_11_14_17_20_57644], i2003_11_14_17_20_57644, 2 ^ [i2003_11_14_17_20_57644]]]))).
% 0.88/1.41 cnf('1.2.1.1.2.3.1',plain,[-(rf1(i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644])), rf3(i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644])],extension(15,bind([[_29114, _29159], [i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644]]]))).
% 0.88/1.41 cnf('1.2.1.1.2.3.1.1',plain,[-(rf3(i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644]))],lemmata('1.2.1.1.2')).
% 0.88/1.41 cnf('1.2.1.1.2.3.2',plain,[-(rf1(i2003_11_14_17_20_57644, 2 ^ [i2003_11_14_17_20_57644])), -(4 ^ [i2003_11_14_17_20_57644])],extension(4,bind([[_26283], [i2003_11_14_17_20_57644]]))).
% 0.88/1.41 cnf('1.2.1.1.2.3.2.1',plain,[4 ^ [i2003_11_14_17_20_57644]],reduction('1')).
% 0.88/1.41 cnf('1.2.1.2',plain,[-(1 ^ [i2003_11_14_17_20_57644] = 3 ^ [i2003_11_14_17_20_57644]), rf2(i2003_11_14_17_20_57644, 1 ^ [i2003_11_14_17_20_57644]), rf2(i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644])],extension(12,bind([[_28124, _28068, _28179], [1 ^ [i2003_11_14_17_20_57644], i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644]]]))).
% 0.88/1.41 cnf('1.2.1.2.1',plain,[-(rf2(i2003_11_14_17_20_57644, 1 ^ [i2003_11_14_17_20_57644])), rf3(i2003_11_14_17_20_57644, 1 ^ [i2003_11_14_17_20_57644])],extension(16,bind([[_29414, _29459], [i2003_11_14_17_20_57644, 1 ^ [i2003_11_14_17_20_57644]]]))).
% 0.88/1.41 cnf('1.2.1.2.1.1',plain,[-(rf3(i2003_11_14_17_20_57644, 1 ^ [i2003_11_14_17_20_57644]))],reduction('1.2')).
% 0.88/1.41 cnf('1.2.1.2.2',plain,[-(rf2(i2003_11_14_17_20_57644, 3 ^ [i2003_11_14_17_20_57644])), -(4 ^ [i2003_11_14_17_20_57644])],extension(2,bind([[_26283], [i2003_11_14_17_20_57644]]))).
% 0.88/1.41 cnf('1.2.1.2.2.1',plain,[4 ^ [i2003_11_14_17_20_57644]],reduction('1')).
% 0.88/1.41 %-----------------------------------------------------
% 0.88/1.41
% 0.88/1.42 % SZS output end Proof for negated /export/starexec/sandbox/benchmark/theBenchmark.p
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