TSTP Solution File: RNG060+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG060+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n022.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 : Mon Jul 18 20:33:43 EDT 2022
% Result : Theorem 29.77s 29.44s
% Output : Proof 29.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG060+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon May 30 07:41:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 29.77/29.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.77/29.45 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.77/29.46
% 29.77/29.46 %-----------------------------------------------------
% 29.77/29.46 fof(mDistr, axiom, ! [_90438, _90441, _90444] : (aScalar0(_90438) & aScalar0(_90441) & aScalar0(_90444) => sdtasdt0(_90438, sdtpldt0(_90441, _90444)) = sdtpldt0(sdtasdt0(_90438, _90441), sdtasdt0(_90438, _90444)) & sdtasdt0(sdtpldt0(_90438, _90441), _90444) = sdtpldt0(sdtasdt0(_90438, _90444), sdtasdt0(_90441, _90444))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDistr)).
% 29.77/29.46 fof(mArith, axiom, ! [_90821, _90824, _90827] : (aScalar0(_90821) & aScalar0(_90824) & aScalar0(_90827) => sdtpldt0(sdtpldt0(_90821, _90824), _90827) = sdtpldt0(_90821, sdtpldt0(_90824, _90827)) & sdtpldt0(_90821, _90824) = sdtpldt0(_90824, _90821) & sdtasdt0(sdtasdt0(_90821, _90824), _90827) = sdtasdt0(_90821, sdtasdt0(_90824, _90827)) & sdtasdt0(_90821, _90824) = sdtasdt0(_90824, _90821)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mArith)).
% 29.77/29.46 fof(m__, conjecture, sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 29.77/29.46 fof(mSZeroSc, axiom, aScalar0(sz0z00), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSZeroSc)).
% 29.77/29.46 fof(mSumSc, axiom, ! [_91518, _91521] : (aScalar0(_91518) & aScalar0(_91521) => aScalar0(sdtpldt0(_91518, _91521))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSumSc)).
% 29.77/29.46 fof(mNegSc, axiom, ! [_91688] : (aScalar0(_91688) => aScalar0(smndt0(_91688))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mNegSc)).
% 29.77/29.46 fof(mMDNeg, axiom, ! [_91844, _91847] : (aScalar0(_91844) & aScalar0(_91847) => sdtasdt0(smndt0(_91844), smndt0(_91847)) = sdtasdt0(_91844, _91847)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMDNeg)).
% 29.77/29.46 fof(m__1892, hypothesis, aScalar0(xR) & xR = sdtasdt0(xC, xG), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1892)).
% 29.77/29.46 fof(m__1930, hypothesis, aScalar0(xS) & xS = sdtasdt0(xF, xD), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1930)).
% 29.77/29.46 fof(m__2144, hypothesis, sdtasdt0(xR, smndt0(xS)) = smndt0(xN) & sdtasdt0(smndt0(xS), xR) = smndt0(xN) & sdtasdt0(smndt0(xS), smndt0(xS)) = sdtasdt0(xS, xS), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2144)).
% 29.77/29.46
% 29.77/29.46 cnf(1, plain, [-(6 ^ [_40858, _40764, _40669]), -(sdtasdt0(sdtpldt0(_40669, _40764), _40858) = sdtpldt0(sdtasdt0(_40669, _40858), sdtasdt0(_40764, _40858)))], clausify(mDistr)).
% 29.77/29.46 cnf(2, plain, [-(6 ^ [_40858, _40764, _40669]), -(sdtasdt0(_40669, sdtpldt0(_40764, _40858)) = sdtpldt0(sdtasdt0(_40669, _40764), sdtasdt0(_40669, _40858)))], clausify(mDistr)).
% 29.77/29.46 cnf(3, plain, [-(5 ^ [_39579, _39467, _39354]), -(sdtasdt0(_39354, _39467) = sdtasdt0(_39467, _39354))], clausify(mArith)).
% 29.77/29.46 cnf(4, plain, [-(5 ^ [_39579, _39467, _39354]), -(sdtpldt0(_39354, _39467) = sdtpldt0(_39467, _39354))], clausify(mArith)).
% 29.77/29.46 cnf(5, plain, [sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))], clausify(m__)).
% 29.77/29.46 cnf(6, plain, [-(sdtpldt0(_32881, _33014) = sdtpldt0(_32948, _33079)), _32881 = _32948, _33014 = _33079], theory(equality)).
% 29.77/29.46 cnf(7, plain, [-(_27904 = _28015), _27904 = _27960, _27960 = _28015], theory(equality)).
% 29.77/29.46 cnf(8, plain, [-(aScalar0(_28758)), _28709 = _28758, aScalar0(_28709)], theory(equality)).
% 29.77/29.46 cnf(9, plain, [-(aScalar0(sz0z00))], clausify(mSZeroSc)).
% 29.77/29.46 cnf(10, plain, [-(aScalar0(sdtpldt0(_37269, _37320))), aScalar0(_37269), aScalar0(_37320)], clausify(mSumSc)).
% 29.77/29.46 cnf(11, plain, [aScalar0(_38009), -(aScalar0(smndt0(_38009)))], clausify(mNegSc)).
% 29.77/29.46 cnf(12, plain, [5 ^ [_39579, _39467, _39354], aScalar0(_39354), aScalar0(_39467), aScalar0(_39579)], clausify(mArith)).
% 29.77/29.46 cnf(13, plain, [6 ^ [_40858, _40764, _40669], aScalar0(_40669), aScalar0(_40764), aScalar0(_40858)], clausify(mDistr)).
% 29.77/29.46 cnf(14, plain, [-(sdtasdt0(smndt0(_43529), smndt0(_43588)) = sdtasdt0(_43529, _43588)), aScalar0(_43529), aScalar0(_43588)], clausify(mMDNeg)).
% 29.77/29.46 cnf(15, plain, [-(aScalar0(xR))], clausify(m__1892)).
% 29.77/29.46 cnf(16, plain, [-(aScalar0(xS))], clausify(m__1930)).
% 29.77/29.46 cnf(17, plain, [-(sdtasdt0(xR, smndt0(xS)) = smndt0(xN))], clausify(m__2144)).
% 29.77/29.46 cnf(18, plain, [-(sdtasdt0(smndt0(xS), xR) = smndt0(xN))], clausify(m__2144)).
% 29.77/29.46
% 29.77/29.46 cnf('1',plain,[sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))],start(5)).
% 29.77/29.46 cnf('1.1',plain,[-(sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))), sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))), sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))],extension(7,bind([[_27904, _27960, _28015], [sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))]]))).
% 29.77/29.46 cnf('1.1.1',plain,[-(sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))))), -(6 ^ [sdtpldt0(xR, smndt0(xS)), smndt0(xS), xR])],extension(1,bind([[_40858, _40764, _40669], [sdtpldt0(xR, smndt0(xS)), smndt0(xS), xR]]))).
% 29.77/29.46 cnf('1.1.1.1',plain,[6 ^ [sdtpldt0(xR, smndt0(xS)), smndt0(xS), xR], aScalar0(xR), aScalar0(smndt0(xS)), aScalar0(sdtpldt0(xR, smndt0(xS)))],extension(13,bind([[_40669, _40764, _40858], [xR, smndt0(xS), sdtpldt0(xR, smndt0(xS))]]))).
% 29.77/29.46 cnf('1.1.1.1.1',plain,[-(aScalar0(xR))],extension(15)).
% 29.77/29.46 cnf('1.1.1.1.2',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(11,bind([[_38009], [xS]]))).
% 29.77/29.46 cnf('1.1.1.1.2.1',plain,[-(aScalar0(xS))],extension(16)).
% 29.77/29.46 cnf('1.1.1.1.3',plain,[-(aScalar0(sdtpldt0(xR, smndt0(xS)))), sdtpldt0(smndt0(xS), xR) = sdtpldt0(xR, smndt0(xS)), aScalar0(sdtpldt0(smndt0(xS), xR))],extension(8,bind([[_28758, _28709], [sdtpldt0(xR, smndt0(xS)), sdtpldt0(smndt0(xS), xR)]]))).
% 29.77/29.46 cnf('1.1.1.1.3.1',plain,[-(sdtpldt0(smndt0(xS), xR) = sdtpldt0(xR, smndt0(xS))), -(5 ^ [sz0z00, xR, smndt0(xS)])],extension(4,bind([[_39579, _39467, _39354], [sz0z00, xR, smndt0(xS)]]))).
% 29.77/29.46 cnf('1.1.1.1.3.1.1',plain,[5 ^ [sz0z00, xR, smndt0(xS)], aScalar0(smndt0(xS)), aScalar0(xR), aScalar0(sz0z00)],extension(12,bind([[_39354, _39467, _39579], [smndt0(xS), xR, sz0z00]]))).
% 29.77/29.46 cnf('1.1.1.1.3.1.1.1',plain,[-(aScalar0(smndt0(xS)))],lemmata('1.1.1.1')).
% 29.77/29.46 cnf('1.1.1.1.3.1.1.2',plain,[-(aScalar0(xR))],extension(15)).
% 29.77/29.46 cnf('1.1.1.1.3.1.1.3',plain,[-(aScalar0(sz0z00))],extension(9)).
% 29.77/29.46 cnf('1.1.1.1.3.2',plain,[-(aScalar0(sdtpldt0(smndt0(xS), xR))), aScalar0(smndt0(xS)), aScalar0(xR)],extension(10,bind([[_37269, _37320], [smndt0(xS), xR]]))).
% 29.77/29.46 cnf('1.1.1.1.3.2.1',plain,[-(aScalar0(smndt0(xS)))],lemmata('1.1.1.1')).
% 29.77/29.46 cnf('1.1.1.1.3.2.2',plain,[-(aScalar0(xR))],extension(15)).
% 29.77/29.46 cnf('1.1.2',plain,[-(sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))), sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))],extension(6,bind([[_32881, _32948, _33014, _33079], [sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))]]))).
% 29.77/29.46 cnf('1.1.2.1',plain,[-(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))), sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))],extension(7,bind([[_27904, _27960, _28015], [sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))]]))).
% 29.77/29.46 cnf('1.1.2.1.1',plain,[-(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS)))), -(6 ^ [smndt0(xS), xR, xR])],extension(2,bind([[_40858, _40764, _40669], [smndt0(xS), xR, xR]]))).
% 29.77/29.46 cnf('1.1.2.1.1.1',plain,[6 ^ [smndt0(xS), xR, xR], aScalar0(xR), aScalar0(xR), aScalar0(smndt0(xS))],extension(13,bind([[_40669, _40764, _40858], [xR, xR, smndt0(xS)]]))).
% 29.77/29.46 cnf('1.1.2.1.1.1.1',plain,[-(aScalar0(xR))],extension(15)).
% 29.77/29.46 cnf('1.1.2.1.1.1.2',plain,[-(aScalar0(xR))],extension(15)).
% 29.77/29.46 cnf('1.1.2.1.1.1.3',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(11,bind([[_38009], [xS]]))).
% 29.77/29.46 cnf('1.1.2.1.1.1.3.1',plain,[-(aScalar0(xS))],extension(16)).
% 29.77/29.46 cnf('1.1.2.1.2',plain,[-(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))), sdtasdt0(xR, xR) = sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS)) = smndt0(xN)],extension(6,bind([[_32881, _32948, _33014, _33079], [sdtasdt0(xR, xR), sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS)), smndt0(xN)]]))).
% 29.77/29.46 cnf('1.1.2.1.2.1',plain,[-(sdtasdt0(xR, xR) = sdtasdt0(xR, xR)), -(5 ^ [sz0z00, xR, xR])],extension(3,bind([[_39579, _39467, _39354], [sz0z00, xR, xR]]))).
% 29.77/29.46 cnf('1.1.2.1.2.1.1',plain,[5 ^ [sz0z00, xR, xR], aScalar0(xR), aScalar0(xR), aScalar0(sz0z00)],extension(12,bind([[_39354, _39467, _39579], [xR, xR, sz0z00]]))).
% 29.77/29.46 cnf('1.1.2.1.2.1.1.1',plain,[-(aScalar0(xR))],extension(15)).
% 29.77/29.46 cnf('1.1.2.1.2.1.1.2',plain,[-(aScalar0(xR))],extension(15)).
% 29.77/29.46 cnf('1.1.2.1.2.1.1.3',plain,[-(aScalar0(sz0z00))],extension(9)).
% 29.77/29.46 cnf('1.1.2.1.2.2',plain,[-(sdtasdt0(xR, smndt0(xS)) = smndt0(xN))],extension(17)).
% 29.77/29.46 cnf('1.1.2.2',plain,[-(sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS))), sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))],extension(7,bind([[_27904, _27960, _28015], [sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS))), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))]]))).
% 29.77/29.46 cnf('1.1.2.2.1',plain,[-(sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS)))), -(6 ^ [smndt0(xS), xR, smndt0(xS)])],extension(2,bind([[_40858, _40764, _40669], [smndt0(xS), xR, smndt0(xS)]]))).
% 29.77/29.46 cnf('1.1.2.2.1.1',plain,[6 ^ [smndt0(xS), xR, smndt0(xS)], aScalar0(smndt0(xS)), aScalar0(xR), aScalar0(smndt0(xS))],extension(13,bind([[_40669, _40764, _40858], [smndt0(xS), xR, smndt0(xS)]]))).
% 29.77/29.46 cnf('1.1.2.2.1.1.1',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(11,bind([[_38009], [xS]]))).
% 29.77/29.46 cnf('1.1.2.2.1.1.1.1',plain,[-(aScalar0(xS))],extension(16)).
% 29.77/29.46 cnf('1.1.2.2.1.1.2',plain,[-(aScalar0(xR))],extension(15)).
% 29.77/29.46 cnf('1.1.2.2.1.1.3',plain,[-(aScalar0(smndt0(xS)))],lemmata('1.1.2.2.1.1')).
% 29.77/29.46 cnf('1.1.2.2.2',plain,[-(sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))), sdtasdt0(smndt0(xS), xR) = smndt0(xN), sdtasdt0(smndt0(xS), smndt0(xS)) = sdtasdt0(xS, xS)],extension(6,bind([[_32881, _32948, _33014, _33079], [sdtasdt0(smndt0(xS), xR), smndt0(xN), sdtasdt0(smndt0(xS), smndt0(xS)), sdtasdt0(xS, xS)]]))).
% 29.77/29.46 cnf('1.1.2.2.2.1',plain,[-(sdtasdt0(smndt0(xS), xR) = smndt0(xN))],extension(18)).
% 29.77/29.46 cnf('1.1.2.2.2.2',plain,[-(sdtasdt0(smndt0(xS), smndt0(xS)) = sdtasdt0(xS, xS)), aScalar0(xS), aScalar0(xS)],extension(14,bind([[_43529, _43588], [xS, xS]]))).
% 29.77/29.46 cnf('1.1.2.2.2.2.1',plain,[-(aScalar0(xS))],extension(16)).
% 29.77/29.46 cnf('1.1.2.2.2.2.2',plain,[-(aScalar0(xS))],extension(16)).
% 29.77/29.46 %-----------------------------------------------------
% 29.87/29.46
% 29.87/29.46 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------