TSTP Solution File: RNG067+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG067+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.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 : 600s
% DateTime : Mon Jul 18 20:33:44 EDT 2022
% Result : Theorem 0.45s 1.41s
% Output : Proof 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG067+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 15:23:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.45/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/1.42
% 0.45/1.42 %-----------------------------------------------------
% 0.45/1.42 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/sandbox/benchmark/theBenchmark.p', m__)).
% 0.45/1.42 fof(mSumSc, axiom, ! [_87689, _87692] : (aScalar0(_87689) & aScalar0(_87692) => aScalar0(sdtpldt0(_87689, _87692))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSumSc)).
% 0.45/1.42 fof(mMulSc, axiom, ! [_87858, _87861] : (aScalar0(_87858) & aScalar0(_87861) => aScalar0(sdtasdt0(_87858, _87861))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mMulSc)).
% 0.45/1.42 fof(mLEMon, axiom, ! [_88049, _88052, _88055, _88058] : (aScalar0(_88049) & aScalar0(_88052) & aScalar0(_88055) & aScalar0(_88058) => sdtlseqdt0(_88049, _88052) & sdtlseqdt0(_88055, _88058) => sdtlseqdt0(sdtpldt0(_88049, _88055), sdtpldt0(_88052, _88058))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mLEMon)).
% 0.45/1.42 fof(m__1892, hypothesis, aScalar0(xR) & xR = sdtasdt0(xC, xG), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1892)).
% 0.45/1.42 fof(m__1911, hypothesis, aScalar0(xP) & xP = sdtasdt0(xE, xH), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1911)).
% 0.45/1.42 fof(m__1930, hypothesis, aScalar0(xS) & xS = sdtasdt0(xF, xD), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1930)).
% 0.45/1.42 fof(m__1949, hypothesis, aScalar0(xN) & xN = sdtasdt0(xR, xS), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1949)).
% 0.45/1.42 fof(m__2004, hypothesis, sdtlseqdt0(sdtasdt0(xP, xP), xN), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2004)).
% 0.45/1.42 fof(m__2104, hypothesis, sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2104)).
% 0.45/1.42
% 0.45/1.42 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__)).
% 0.45/1.42 cnf(2, plain, [-(aScalar0(sdtpldt0(_37078, _37129))), aScalar0(_37078), aScalar0(_37129)], clausify(mSumSc)).
% 0.45/1.42 cnf(3, plain, [-(aScalar0(sdtasdt0(_37448, _37499))), aScalar0(_37448), aScalar0(_37499)], clausify(mMulSc)).
% 0.45/1.42 cnf(4, plain, [sdtlseqdt0(_45842, _45927), sdtlseqdt0(_45669, _45756), -(sdtlseqdt0(sdtpldt0(_45669, _45842), sdtpldt0(_45756, _45927))), aScalar0(_45669), aScalar0(_45756), aScalar0(_45842), aScalar0(_45927)], clausify(mLEMon)).
% 0.45/1.42 cnf(5, plain, [-(aScalar0(xR))], clausify(m__1892)).
% 0.45/1.42 cnf(6, plain, [-(aScalar0(xP))], clausify(m__1911)).
% 0.45/1.42 cnf(7, plain, [-(aScalar0(xS))], clausify(m__1930)).
% 0.45/1.42 cnf(8, plain, [-(aScalar0(xN))], clausify(m__1949)).
% 0.45/1.42 cnf(9, plain, [-(sdtlseqdt0(sdtasdt0(xP, xP), xN))], clausify(m__2004)).
% 0.45/1.42 cnf(10, plain, [-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))], clausify(m__2104)).
% 0.45/1.42
% 0.45/1.42 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)).
% 0.45/1.42 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([[_45669, _45756, _45842, _45927], [sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN), sdtasdt0(xP, xP), xN]]))).
% 0.45/1.42 cnf('1.1.1',plain,[-(sdtlseqdt0(sdtasdt0(xP, xP), xN))],extension(9)).
% 0.45/1.42 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([[_45669, _45756, _45842, _45927], [sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), sdtasdt0(xP, xP), xN]]))).
% 0.45/1.42 cnf('1.1.2.1',plain,[-(sdtlseqdt0(sdtasdt0(xP, xP), xN))],extension(9)).
% 0.45/1.42 cnf('1.1.2.2',plain,[-(sdtlseqdt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS))))],extension(10)).
% 0.45/1.42 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([[_37078, _37129], [sdtasdt0(xP, xP), sdtasdt0(xP, xP)]]))).
% 0.45/1.42 cnf('1.1.2.3.1',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(3,bind([[_37448, _37499], [xP, xP]]))).
% 0.45/1.42 cnf('1.1.2.3.1.1',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.42 cnf('1.1.2.3.1.2',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.42 cnf('1.1.2.3.2',plain,[-(aScalar0(sdtasdt0(xP, xP)))],lemmata('1.1.2.3')).
% 0.45/1.42 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([[_37078, _37129], [sdtasdt0(xR, xR), sdtasdt0(xS, xS)]]))).
% 0.45/1.42 cnf('1.1.2.4.1',plain,[-(aScalar0(sdtasdt0(xR, xR))), aScalar0(xR), aScalar0(xR)],extension(3,bind([[_37448, _37499], [xR, xR]]))).
% 0.45/1.42 cnf('1.1.2.4.1.1',plain,[-(aScalar0(xR))],extension(5)).
% 0.45/1.42 cnf('1.1.2.4.1.2',plain,[-(aScalar0(xR))],extension(5)).
% 0.45/1.42 cnf('1.1.2.4.2',plain,[-(aScalar0(sdtasdt0(xS, xS))), aScalar0(xS), aScalar0(xS)],extension(3,bind([[_37448, _37499], [xS, xS]]))).
% 0.45/1.42 cnf('1.1.2.4.2.1',plain,[-(aScalar0(xS))],extension(7)).
% 0.45/1.42 cnf('1.1.2.4.2.2',plain,[-(aScalar0(xS))],extension(7)).
% 0.45/1.42 cnf('1.1.2.5',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(3,bind([[_37448, _37499], [xP, xP]]))).
% 0.45/1.42 cnf('1.1.2.5.1',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.42 cnf('1.1.2.5.2',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.42 cnf('1.1.2.6',plain,[-(aScalar0(xN))],extension(8)).
% 0.45/1.42 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([[_37078, _37129], [sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtasdt0(xP, xP)]]))).
% 0.45/1.42 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([[_37078, _37129], [sdtasdt0(xP, xP), sdtasdt0(xP, xP)]]))).
% 0.45/1.42 cnf('1.1.3.1.1',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(3,bind([[_37448, _37499], [xP, xP]]))).
% 0.45/1.42 cnf('1.1.3.1.1.1',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.42 cnf('1.1.3.1.1.2',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.42 cnf('1.1.3.1.2',plain,[-(aScalar0(sdtasdt0(xP, xP)))],lemmata('1.1.3.1')).
% 0.45/1.42 cnf('1.1.3.2',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(3,bind([[_37448, _37499], [xP, xP]]))).
% 0.45/1.42 cnf('1.1.3.2.1',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.42 cnf('1.1.3.2.2',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.42 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([[_37078, _37129], [sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xS, xS)), xN]]))).
% 0.45/1.42 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([[_37078, _37129], [sdtasdt0(xR, xR), sdtasdt0(xS, xS)]]))).
% 0.45/1.42 cnf('1.1.4.1.1',plain,[-(aScalar0(sdtasdt0(xR, xR))), aScalar0(xR), aScalar0(xR)],extension(3,bind([[_37448, _37499], [xR, xR]]))).
% 0.45/1.42 cnf('1.1.4.1.1.1',plain,[-(aScalar0(xR))],extension(5)).
% 0.45/1.42 cnf('1.1.4.1.1.2',plain,[-(aScalar0(xR))],extension(5)).
% 0.45/1.42 cnf('1.1.4.1.2',plain,[-(aScalar0(sdtasdt0(xS, xS))), aScalar0(xS), aScalar0(xS)],extension(3,bind([[_37448, _37499], [xS, xS]]))).
% 0.45/1.42 cnf('1.1.4.1.2.1',plain,[-(aScalar0(xS))],extension(7)).
% 0.45/1.42 cnf('1.1.4.1.2.2',plain,[-(aScalar0(xS))],extension(7)).
% 0.45/1.42 cnf('1.1.4.2',plain,[-(aScalar0(xN))],extension(8)).
% 0.45/1.42 cnf('1.1.5',plain,[-(aScalar0(sdtasdt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(3,bind([[_37448, _37499], [xP, xP]]))).
% 0.45/1.42 cnf('1.1.5.1',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.42 cnf('1.1.5.2',plain,[-(aScalar0(xP))],extension(6)).
% 0.45/1.42 cnf('1.1.6',plain,[-(aScalar0(xN))],extension(8)).
% 0.45/1.42 %-----------------------------------------------------
% 0.45/1.43
% 0.45/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------