TSTP Solution File: RNG079+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : RNG079+2 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 20:33:47 EDT 2022

% Result   : Theorem 116.41s 112.40s
% Output   : Proof 116.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG079+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n020.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 20:55:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 116.41/112.40  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 116.41/112.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 116.41/112.41  
% 116.41/112.41  %-----------------------------------------------------
% 116.41/112.41  fof(m__, conjecture, sdtlseqdt0(sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 116.41/112.41  fof(mDistr2, axiom, ! [_87505, _87508, _87511, _87514] : (aScalar0(_87505) & aScalar0(_87508) & aScalar0(_87511) & aScalar0(_87514) => sdtasdt0(sdtpldt0(_87505, _87508), sdtpldt0(_87511, _87514)) = sdtpldt0(sdtpldt0(sdtasdt0(_87505, _87511), sdtasdt0(_87505, _87514)), sdtpldt0(sdtasdt0(_87508, _87511), sdtasdt0(_87508, _87514)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDistr2)).
% 116.41/112.41  fof(m__1783, hypothesis, aScalar0(xC) & xC = sdtasasdt0(xp, xp), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1783)).
% 116.41/112.41  fof(m__1800, hypothesis, aScalar0(xD) & xD = sdtasasdt0(xq, xq), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1800)).
% 116.41/112.41  fof(m__1820, hypothesis, aScalar0(xE) & xE = sdtasasdt0(xp, xq), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1820)).
% 116.41/112.41  fof(m__1837, hypothesis, aScalar0(xF) & xF = sdtasdt0(xA, xA), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1837)).
% 116.41/112.41  fof(m__1854, hypothesis, aScalar0(xG) & xG = sdtasdt0(xB, xB), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1854)).
% 116.41/112.41  fof(m__1873, hypothesis, aScalar0(xH) & xH = sdtasdt0(xA, xB), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1873)).
% 116.41/112.41  fof(m__2905, hypothesis, sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2905)).
% 116.41/112.41  
% 116.41/112.41  cnf(1, plain, [sdtlseqdt0(sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)))], clausify(m__)).
% 116.41/112.41  cnf(2, plain, [-(_29109 = _29109)], theory(equality)).
% 116.41/112.41  cnf(3, plain, [_29262 = _29307, -(_29307 = _29262)], theory(equality)).
% 116.41/112.41  cnf(4, plain, [-(sdtlseqdt0(_31685, _31816)), sdtlseqdt0(_31618, _31751), _31618 = _31685, _31751 = _31816], theory(equality)).
% 116.41/112.41  cnf(5, plain, [-(sdtasdt0(sdtpldt0(_43345, _43444), sdtpldt0(_43542, _43639)) = sdtpldt0(sdtpldt0(sdtasdt0(_43345, _43542), sdtasdt0(_43345, _43639)), sdtpldt0(sdtasdt0(_43444, _43542), sdtasdt0(_43444, _43639)))), aScalar0(_43345), aScalar0(_43444), aScalar0(_43542), aScalar0(_43639)], clausify(mDistr2)).
% 116.41/112.41  cnf(6, plain, [-(aScalar0(xC))], clausify(m__1783)).
% 116.41/112.41  cnf(7, plain, [-(aScalar0(xD))], clausify(m__1800)).
% 116.41/112.41  cnf(8, plain, [-(aScalar0(xE))], clausify(m__1820)).
% 116.41/112.41  cnf(9, plain, [-(aScalar0(xF))], clausify(m__1837)).
% 116.41/112.41  cnf(10, plain, [-(aScalar0(xG))], clausify(m__1854)).
% 116.41/112.41  cnf(11, plain, [-(aScalar0(xH))], clausify(m__1873)).
% 116.41/112.41  cnf(12, plain, [-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))))], clausify(m__2905)).
% 116.41/112.41  
% 116.41/112.41  cnf('1',plain,[sdtlseqdt0(sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)))],start(1)).
% 116.41/112.41  cnf('1.1',plain,[-(sdtlseqdt0(sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)))), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))), sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))) = sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))) = sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG))],extension(4,bind([[_31618, _31685, _31751, _31816], [sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG))]]))).
% 116.41/112.41  cnf('1.1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))))), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))), sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))) = sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))) = sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))],extension(4,bind([[_31618, _31685, _31751, _31816], [sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))]]))).
% 116.41/112.41  cnf('1.1.1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))))],extension(12)).
% 116.41/112.41  cnf('1.1.1.2',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))) = sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))))],extension(2,bind([[_29109], [sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))]]))).
% 116.41/112.41  cnf('1.1.1.3',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))) = sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))))],extension(2,bind([[_29109], [sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))]]))).
% 116.41/112.41  cnf('1.1.2',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH))) = sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH))), sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)) = sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))],extension(3,bind([[_29262, _29307], [sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)), sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))]]))).
% 116.41/112.41  cnf('1.1.2.1',plain,[-(sdtasdt0(sdtpldt0(xE, xH), sdtpldt0(xE, xH)) = sdtpldt0(sdtpldt0(sdtasdt0(xE, xE), sdtasdt0(xE, xH)), sdtpldt0(sdtasdt0(xH, xE), sdtasdt0(xH, xH)))), aScalar0(xE), aScalar0(xH), aScalar0(xE), aScalar0(xH)],extension(5,bind([[_43345, _43444, _43542, _43639], [xE, xH, xE, xH]]))).
% 116.41/112.41  cnf('1.1.2.1.1',plain,[-(aScalar0(xE))],extension(8)).
% 116.41/112.41  cnf('1.1.2.1.2',plain,[-(aScalar0(xH))],extension(11)).
% 116.41/112.41  cnf('1.1.2.1.3',plain,[-(aScalar0(xE))],extension(8)).
% 116.41/112.41  cnf('1.1.2.1.4',plain,[-(aScalar0(xH))],extension(11)).
% 116.41/112.41  cnf('1.1.3',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG))) = sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG))), sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)) = sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))],extension(3,bind([[_29262, _29307], [sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)), sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))]]))).
% 116.41/112.41  cnf('1.1.3.1',plain,[-(sdtasdt0(sdtpldt0(xC, xF), sdtpldt0(xD, xG)) = sdtpldt0(sdtpldt0(sdtasdt0(xC, xD), sdtasdt0(xC, xG)), sdtpldt0(sdtasdt0(xF, xD), sdtasdt0(xF, xG)))), aScalar0(xC), aScalar0(xF), aScalar0(xD), aScalar0(xG)],extension(5,bind([[_43345, _43444, _43542, _43639], [xC, xF, xD, xG]]))).
% 116.41/112.41  cnf('1.1.3.1.1',plain,[-(aScalar0(xC))],extension(6)).
% 116.41/112.41  cnf('1.1.3.1.2',plain,[-(aScalar0(xF))],extension(9)).
% 116.41/112.41  cnf('1.1.3.1.3',plain,[-(aScalar0(xD))],extension(7)).
% 116.41/112.41  cnf('1.1.3.1.4',plain,[-(aScalar0(xG))],extension(10)).
% 116.41/112.41  %-----------------------------------------------------
% 116.41/112.42  
% 116.41/112.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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