TSTP Solution File: RNG076+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : RNG076+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n026.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 20:33:46 EDT 2022

% Result   : Theorem 0.49s 1.42s
% Output   : Proof 0.49s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG076+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon May 30 15:55:55 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.49/1.42  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/1.43  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/1.43  
% 0.49/1.43  %-----------------------------------------------------
% 0.49/1.43  fof(m__, conjecture, sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 0.49/1.43  fof(mSumSc, axiom, ! [_85761, _85764] : (aScalar0(_85761) & aScalar0(_85764) => aScalar0(sdtpldt0(_85761, _85764))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSumSc)).
% 0.49/1.43  fof(mMulSc, axiom, ! [_85930, _85933] : (aScalar0(_85930) & aScalar0(_85933) => aScalar0(sdtasdt0(_85930, _85933))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mMulSc)).
% 0.49/1.43  fof(mLERef, axiom, ! [_86118] : (aScalar0(_86118) => sdtlseqdt0(_86118, _86118)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mLERef)).
% 0.49/1.43  fof(mLEMon, axiom, ! [_86248, _86251, _86254, _86257] : (aScalar0(_86248) & aScalar0(_86251) & aScalar0(_86254) & aScalar0(_86257) => sdtlseqdt0(_86248, _86251) & sdtlseqdt0(_86254, _86257) => sdtlseqdt0(sdtpldt0(_86248, _86254), sdtpldt0(_86251, _86257))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mLEMon)).
% 0.49/1.43  fof(m__1783, hypothesis, aScalar0(xC) & xC = sdtasasdt0(xp, xp), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1783)).
% 0.49/1.43  fof(m__1800, hypothesis, aScalar0(xD) & xD = sdtasasdt0(xq, xq), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1800)).
% 0.49/1.43  fof(m__1820, hypothesis, aScalar0(xE) & xE = sdtasasdt0(xp, xq), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1820)).
% 0.49/1.43  fof(m__1873, hypothesis, aScalar0(xH) & xH = sdtasdt0(xA, xB), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1873)).
% 0.49/1.43  fof(m__1892, hypothesis, aScalar0(xR) & xR = sdtasdt0(xC, xG), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1892)).
% 0.49/1.43  fof(m__1911, hypothesis, aScalar0(xP) & xP = sdtasdt0(xE, xH), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1911)).
% 0.49/1.43  fof(m__1930, hypothesis, aScalar0(xS) & xS = sdtasdt0(xF, xD), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1930)).
% 0.49/1.43  fof(m__1967, hypothesis, sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1967)).
% 0.49/1.43  fof(m__1983, hypothesis, sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1983)).
% 0.49/1.43  
% 0.49/1.43  cnf(1, plain, [sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))))], clausify(m__)).
% 0.49/1.43  cnf(2, plain, [-(aScalar0(sdtpldt0(_36779, _36830))), aScalar0(_36779), aScalar0(_36830)], clausify(mSumSc)).
% 0.49/1.43  cnf(3, plain, [-(aScalar0(sdtasdt0(_37149, _37200))), aScalar0(_37149), aScalar0(_37200)], clausify(mMulSc)).
% 0.49/1.43  cnf(4, plain, [aScalar0(_43945), -(sdtlseqdt0(_43945, _43945))], clausify(mLERef)).
% 0.49/1.43  cnf(5, plain, [sdtlseqdt0(_45543, _45628), sdtlseqdt0(_45370, _45457), -(sdtlseqdt0(sdtpldt0(_45370, _45543), sdtpldt0(_45457, _45628))), aScalar0(_45370), aScalar0(_45457), aScalar0(_45543), aScalar0(_45628)], clausify(mLEMon)).
% 0.49/1.43  cnf(6, plain, [-(aScalar0(xC))], clausify(m__1783)).
% 0.49/1.43  cnf(7, plain, [-(aScalar0(xD))], clausify(m__1800)).
% 0.49/1.43  cnf(8, plain, [-(aScalar0(xE))], clausify(m__1820)).
% 0.49/1.43  cnf(9, plain, [-(aScalar0(xH))], clausify(m__1873)).
% 0.49/1.43  cnf(10, plain, [-(aScalar0(xR))], clausify(m__1892)).
% 0.49/1.43  cnf(11, plain, [-(aScalar0(xP))], clausify(m__1911)).
% 0.49/1.43  cnf(12, plain, [-(aScalar0(xS))], clausify(m__1930)).
% 0.49/1.43  cnf(13, plain, [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], clausify(m__1967)).
% 0.49/1.43  cnf(14, plain, [-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))], clausify(m__1983)).
% 0.49/1.43  
% 0.49/1.43  cnf('1',plain,[sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))))],start(1)).
% 0.49/1.43  cnf('1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))))), sdtlseqdt0(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))), sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)), aScalar0(sdtasdt0(xE, xE)), aScalar0(sdtasdt0(xC, xD)), aScalar0(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), aScalar0(sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))],extension(5,bind([[_45370, _45457, _45543, _45628], [sdtasdt0(xE, xE), sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))]]))).
% 0.49/1.43  cnf('1.1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))), sdtlseqdt0(sdtasdt0(xH, xH), sdtasdt0(xH, xH)), sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtasdt0(xH, xH)), aScalar0(sdtasdt0(xH, xH))],extension(5,bind([[_45370, _45457, _45543, _45628], [sdtpldt0(xP, xP), sdtpldt0(xR, xS), sdtasdt0(xH, xH), sdtasdt0(xH, xH)]]))).
% 0.49/1.43  cnf('1.1.1.1',plain,[-(sdtlseqdt0(sdtasdt0(xH, xH), sdtasdt0(xH, xH))), aScalar0(sdtasdt0(xH, xH))],extension(4,bind([[_43945], [sdtasdt0(xH, xH)]]))).
% 0.49/1.43  cnf('1.1.1.1.1',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(3,bind([[_37149, _37200], [xH, xH]]))).
% 0.49/1.43  cnf('1.1.1.1.1.1',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43  cnf('1.1.1.1.1.2',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43  cnf('1.1.1.2',plain,[-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))],extension(14)).
% 0.49/1.43  cnf('1.1.1.3',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(2,bind([[_36779, _36830], [xP, xP]]))).
% 0.49/1.43  cnf('1.1.1.3.1',plain,[-(aScalar0(xP))],extension(11)).
% 0.49/1.43  cnf('1.1.1.3.2',plain,[-(aScalar0(xP))],extension(11)).
% 0.49/1.43  cnf('1.1.1.4',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(2,bind([[_36779, _36830], [xR, xS]]))).
% 0.49/1.43  cnf('1.1.1.4.1',plain,[-(aScalar0(xR))],extension(10)).
% 0.49/1.43  cnf('1.1.1.4.2',plain,[-(aScalar0(xS))],extension(12)).
% 0.49/1.43  cnf('1.1.1.5',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(3,bind([[_37149, _37200], [xH, xH]]))).
% 0.49/1.43  cnf('1.1.1.5.1',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43  cnf('1.1.1.5.2',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43  cnf('1.1.1.6',plain,[-(aScalar0(sdtasdt0(xH, xH)))],lemmata('1.1.1')).
% 0.49/1.43  cnf('1.1.2',plain,[-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))],extension(13)).
% 0.49/1.43  cnf('1.1.3',plain,[-(aScalar0(sdtasdt0(xE, xE))), aScalar0(xE), aScalar0(xE)],extension(3,bind([[_37149, _37200], [xE, xE]]))).
% 0.49/1.43  cnf('1.1.3.1',plain,[-(aScalar0(xE))],extension(8)).
% 0.49/1.43  cnf('1.1.3.2',plain,[-(aScalar0(xE))],extension(8)).
% 0.49/1.43  cnf('1.1.4',plain,[-(aScalar0(sdtasdt0(xC, xD))), aScalar0(xC), aScalar0(xD)],extension(3,bind([[_37149, _37200], [xC, xD]]))).
% 0.49/1.43  cnf('1.1.4.1',plain,[-(aScalar0(xC))],extension(6)).
% 0.49/1.43  cnf('1.1.4.2',plain,[-(aScalar0(xD))],extension(7)).
% 0.49/1.43  cnf('1.1.5',plain,[-(aScalar0(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)))), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtasdt0(xH, xH))],extension(2,bind([[_36779, _36830], [sdtpldt0(xP, xP), sdtasdt0(xH, xH)]]))).
% 0.49/1.43  cnf('1.1.5.1',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(2,bind([[_36779, _36830], [xP, xP]]))).
% 0.49/1.43  cnf('1.1.5.1.1',plain,[-(aScalar0(xP))],extension(11)).
% 0.49/1.43  cnf('1.1.5.1.2',plain,[-(aScalar0(xP))],extension(11)).
% 0.49/1.43  cnf('1.1.5.2',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(3,bind([[_37149, _37200], [xH, xH]]))).
% 0.49/1.43  cnf('1.1.5.2.1',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43  cnf('1.1.5.2.2',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43  cnf('1.1.6',plain,[-(aScalar0(sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtasdt0(xH, xH))],extension(2,bind([[_36779, _36830], [sdtpldt0(xR, xS), sdtasdt0(xH, xH)]]))).
% 0.49/1.43  cnf('1.1.6.1',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(2,bind([[_36779, _36830], [xR, xS]]))).
% 0.49/1.43  cnf('1.1.6.1.1',plain,[-(aScalar0(xR))],extension(10)).
% 0.49/1.43  cnf('1.1.6.1.2',plain,[-(aScalar0(xS))],extension(12)).
% 0.49/1.43  cnf('1.1.6.2',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(3,bind([[_37149, _37200], [xH, xH]]))).
% 0.49/1.43  cnf('1.1.6.2.1',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43  cnf('1.1.6.2.2',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43  %-----------------------------------------------------
% 0.49/1.44  
% 0.49/1.44  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------