TSTP Solution File: RNG067+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG067+2 : 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 20:33:45 EDT 2022
% Result : Theorem 0.45s 1.40s
% Output : Proof 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG067+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n022.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 : Mon May 30 22:12:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.45/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/1.40 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/1.41
% 0.45/1.41 %-----------------------------------------------------
% 0.45/1.41 fof(m__, conjecture, sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN), xN)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 0.45/1.41 fof(mSumSc, axiom, ! [_89889, _89892] : (aScalar0(_89889) & aScalar0(_89892) => aScalar0(sdtpldt0(_89889, _89892))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSumSc)).
% 0.45/1.41 fof(mMulSc, axiom, ! [_90058, _90061] : (aScalar0(_90058) & aScalar0(_90061) => aScalar0(sdtasdt0(_90058, _90061))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMulSc)).
% 0.45/1.41 fof(mLEMon, axiom, ! [_90249, _90252, _90255, _90258] : (aScalar0(_90249) & aScalar0(_90252) & aScalar0(_90255) & aScalar0(_90258) => sdtlseqdt0(_90249, _90252) & sdtlseqdt0(_90255, _90258) => sdtlseqdt0(sdtpldt0(_90249, _90255), sdtpldt0(_90252, _90258))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mLEMon)).
% 0.45/1.41 fof(m__1892, hypothesis, aScalar0(xR) & xR = sdtasdt0(xC, xG), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1892)).
% 0.45/1.41 fof(m__1911, hypothesis, aScalar0(xP) & xP = sdtasdt0(xE, xH), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1911)).
% 0.45/1.41 fof(m__1930, hypothesis, aScalar0(xS) & xS = sdtasdt0(xF, xD), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1930)).
% 0.45/1.41 fof(m__1949, hypothesis, aScalar0(xN) & xN = sdtasdt0(xR, xS), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1949)).
% 0.45/1.41 fof(m__2004, hypothesis, sdtlseqdt0(sdtasdt0(xP, xP), xN), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2004)).
% 0.45/1.41 fof(m__2104, hypothesis, sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2104)).
% 0.45/1.41
% 0.45/1.41 cnf(1, plain, [sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN), xN))], clausify(m__)).
% 0.45/1.41 cnf(2, plain, [-(aScalar0(sdtpldt0(_38097, _38148))), aScalar0(_38097), aScalar0(_38148)], clausify(mSumSc)).
% 0.45/1.41 cnf(3, plain, [-(aScalar0(sdtasdt0(_38467, _38518))), aScalar0(_38467), aScalar0(_38518)], clausify(mMulSc)).
% 0.45/1.41 cnf(4, plain, [sdtlseqdt0(_46861, _46946), sdtlseqdt0(_46688, _46775), -(sdtlseqdt0(sdtpldt0(_46688, _46861), sdtpldt0(_46775, _46946))), aScalar0(_46688), aScalar0(_46775), aScalar0(_46861), aScalar0(_46946)], clausify(mLEMon)).
% 0.45/1.41 cnf(5, plain, [-(aScalar0(xR))], clausify(m__1892)).
% 0.45/1.41 cnf(6, plain, [-(aScalar0(xP))], clausify(m__1911)).
% 0.45/1.41 cnf(7, plain, [-(aScalar0(xS))], clausify(m__1930)).
% 0.45/1.41 cnf(8, plain, [-(aScalar0(xN))], clausify(m__1949)).
% 0.45/1.41 cnf(9, plain, [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], clausify(m__2004)).
% 0.45/1.41 cnf(10, plain, [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))], clausify(m__2104)).
% 0.45/1.41
% 0.45/1.41 cnf('1',plain,[sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN), xN))],start(1)).
% 0.45/1.41 cnf('1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN), xN))), sdtlseqdt0(sdtasdt0(xP, xP), xN), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN)), aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP))), aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN)), aScalar0(sdtasdt0(xP, xP)), aScalar0(xN)],extension(4,bind([[_46688, _46775, _46861, _46946], [sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN), sdtasdt0(xP, xP), xN]]))).
% 0.45/1.41 cnf('1.1.1',plain,[-(sdtlseqdt0(sdtasdt0(xP, xP), xN))],extension(9)).
% 0.45/1.41 cnf('1.1.2',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN))), sdtlseqdt0(sdtasdt0(xP, xP), xN), sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))), aScalar0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), aScalar0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))), aScalar0(sdtasdt0(xP, xP)), aScalar0(xN)],extension(4,bind([[_46688, _46775, _46861, _46946], [sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), sdtasdt0(xP, xP), xN]]))).
% 0.45/1.41 cnf('1.1.2.1',plain,[-(sdtlseqdt0(sdtasdt0(xP, xP), xN))],extension(9)).
% 0.45/1.41 cnf('1.1.2.2',plain,[-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))],extension(10)).
% 0.45/1.41 cnf('1.1.2.3',plain,[-(aScalar0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))), aScalar0(sdtasdt0(xP, xP)), aScalar0(sdtasdt0(xP, xP))],extension(2,bind([[_38097, _38148], [sdtasdt0(xP, xP), sdtasdt0(xP, xP)]]))).
% 0.45/1.41 cnf('1.1.2.3.1',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(3,bind([[_38467, _38518], [xP, xP]]))).
% 0.45/1.41 cnf('1.1.2.3.1.1',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.41 cnf('1.1.2.3.1.2',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.41 cnf('1.1.2.3.2',plain,[-(aScalar0(sdtasdt0(xP, xP)))],lemmata('1.1.2.3')).
% 0.45/1.41 cnf('1.1.2.4',plain,[-(aScalar0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)))), aScalar0(sdtasdt0(xR, xR)), aScalar0(sdtasdt0(xS, xS))],extension(2,bind([[_38097, _38148], [sdtasdt0(xR, xR), sdtasdt0(xS, xS)]]))).
% 0.45/1.41 cnf('1.1.2.4.1',plain,[-(aScalar0(sdtasdt0(xR, xR))), aScalar0(xR), aScalar0(xR)],extension(3,bind([[_38467, _38518], [xR, xR]]))).
% 0.45/1.41 cnf('1.1.2.4.1.1',plain,[-(aScalar0(xR))],extension(5)).
% 0.45/1.41 cnf('1.1.2.4.1.2',plain,[-(aScalar0(xR))],extension(5)).
% 0.45/1.41 cnf('1.1.2.4.2',plain,[-(aScalar0(sdtasdt0(xS, xS))), aScalar0(xS), aScalar0(xS)],extension(3,bind([[_38467, _38518], [xS, xS]]))).
% 0.45/1.41 cnf('1.1.2.4.2.1',plain,[-(aScalar0(xS))],extension(7)).
% 0.45/1.41 cnf('1.1.2.4.2.2',plain,[-(aScalar0(xS))],extension(7)).
% 0.45/1.41 cnf('1.1.2.5',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(3,bind([[_38467, _38518], [xP, xP]]))).
% 0.45/1.41 cnf('1.1.2.5.1',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.41 cnf('1.1.2.5.2',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.41 cnf('1.1.2.6',plain,[-(aScalar0(xN))],extension(8)).
% 0.45/1.41 cnf('1.1.3',plain,[-(aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)))), aScalar0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), aScalar0(sdtasdt0(xP, xP))],extension(2,bind([[_38097, _38148], [sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)]]))).
% 0.45/1.41 cnf('1.1.3.1',plain,[-(aScalar0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))), aScalar0(sdtasdt0(xP, xP)), aScalar0(sdtasdt0(xP, xP))],extension(2,bind([[_38097, _38148], [sdtasdt0(xP, xP), sdtasdt0(xP, xP)]]))).
% 0.45/1.41 cnf('1.1.3.1.1',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(3,bind([[_38467, _38518], [xP, xP]]))).
% 0.45/1.41 cnf('1.1.3.1.1.1',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.41 cnf('1.1.3.1.1.2',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.41 cnf('1.1.3.1.2',plain,[-(aScalar0(sdtasdt0(xP, xP)))],lemmata('1.1.3.1')).
% 0.45/1.41 cnf('1.1.3.2',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(3,bind([[_38467, _38518], [xP, xP]]))).
% 0.45/1.41 cnf('1.1.3.2.1',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.41 cnf('1.1.3.2.2',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.41 cnf('1.1.4',plain,[-(aScalar0(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN))), aScalar0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))), aScalar0(xN)],extension(2,bind([[_38097, _38148], [sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN]]))).
% 0.45/1.41 cnf('1.1.4.1',plain,[-(aScalar0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)))), aScalar0(sdtasdt0(xR, xR)), aScalar0(sdtasdt0(xS, xS))],extension(2,bind([[_38097, _38148], [sdtasdt0(xR, xR), sdtasdt0(xS, xS)]]))).
% 0.45/1.41 cnf('1.1.4.1.1',plain,[-(aScalar0(sdtasdt0(xR, xR))), aScalar0(xR), aScalar0(xR)],extension(3,bind([[_38467, _38518], [xR, xR]]))).
% 0.45/1.41 cnf('1.1.4.1.1.1',plain,[-(aScalar0(xR))],extension(5)).
% 0.45/1.41 cnf('1.1.4.1.1.2',plain,[-(aScalar0(xR))],extension(5)).
% 0.45/1.41 cnf('1.1.4.1.2',plain,[-(aScalar0(sdtasdt0(xS, xS))), aScalar0(xS), aScalar0(xS)],extension(3,bind([[_38467, _38518], [xS, xS]]))).
% 0.45/1.41 cnf('1.1.4.1.2.1',plain,[-(aScalar0(xS))],extension(7)).
% 0.45/1.41 cnf('1.1.4.1.2.2',plain,[-(aScalar0(xS))],extension(7)).
% 0.45/1.41 cnf('1.1.4.2',plain,[-(aScalar0(xN))],extension(8)).
% 0.45/1.41 cnf('1.1.5',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(3,bind([[_38467, _38518], [xP, xP]]))).
% 0.45/1.41 cnf('1.1.5.1',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.41 cnf('1.1.5.2',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.41 cnf('1.1.6',plain,[-(aScalar0(xN))],extension(8)).
% 0.45/1.41 %-----------------------------------------------------
% 0.45/1.41
% 0.45/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------