TSTP Solution File: COM012+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : COM012+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n027.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 : Fri Jul 15 01:27:47 EDT 2022

% Result   : Theorem 28.82s 28.48s
% Output   : Proof 28.92s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : COM012+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14  % Command  : leancop_casc.sh %s %d
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 19:55:06 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 28.82/28.48  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.90/28.49  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 28.92/28.49  
% 28.92/28.49  %-----------------------------------------------------
% 28.92/28.49  fof(mTCRDef, definition, ! [_34282, _34285, _34288] : (aElement0(_34282) & aRewritingSystem0(_34285) & aElement0(_34288) => (sdtmndtasgtdt0(_34282, _34285, _34288) <=> _34282 = _34288 | sdtmndtplgtdt0(_34282, _34285, _34288))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mTCRDef)).
% 28.92/28.49  fof(m__, conjecture, sdtmndtasgtdt0(xx, xR, xy) & sdtmndtasgtdt0(xy, xR, xz) => sdtmndtasgtdt0(xx, xR, xz), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 28.92/28.49  fof(mTCTrans, axiom, ! [_34717, _34720, _34723, _34726] : (aElement0(_34717) & aRewritingSystem0(_34720) & aElement0(_34723) & aElement0(_34726) => sdtmndtplgtdt0(_34717, _34720, _34723) & sdtmndtplgtdt0(_34723, _34720, _34726) => sdtmndtplgtdt0(_34717, _34720, _34726)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mTCTrans)).
% 28.92/28.49  fof(m__349, hypothesis, aElement0(xx) & aRewritingSystem0(xR) & aElement0(xy) & aElement0(xz), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__349)).
% 28.92/28.49  
% 28.92/28.49  cnf(1, plain, [-(5 ^ [_17188, _17116, _17043]), sdtmndtplgtdt0(_17043, _17116, _17188)], clausify(mTCRDef)).
% 28.92/28.49  cnf(2, plain, [-(6 ^ [_17188, _17116, _17043]), sdtmndtasgtdt0(_17043, _17116, _17188), -(_17043 = _17188), -(sdtmndtplgtdt0(_17043, _17116, _17188))], clausify(mTCRDef)).
% 28.92/28.49  cnf(3, plain, [-(6 ^ [_17188, _17116, _17043]), -(sdtmndtasgtdt0(_17043, _17116, _17188)), 5 ^ [_17188, _17116, _17043]], clausify(mTCRDef)).
% 28.92/28.49  cnf(4, plain, [-(sdtmndtasgtdt0(xx, xR, xy))], clausify(m__)).
% 28.92/28.49  cnf(5, plain, [-(sdtmndtasgtdt0(xy, xR, xz))], clausify(m__)).
% 28.92/28.49  cnf(6, plain, [sdtmndtasgtdt0(xx, xR, xz)], clausify(m__)).
% 28.92/28.49  cnf(7, plain, [-(_7600 = _7600)], theory(equality)).
% 28.92/28.49  cnf(8, plain, [_7753 = _7798, -(_7798 = _7753)], theory(equality)).
% 28.92/28.49  cnf(9, plain, [-(sdtmndtasgtdt0(_10900, _11067, _11230)), sdtmndtasgtdt0(_10815, _10984, _11149), _10815 = _10900, _10984 = _11067, _11149 = _11230], theory(equality)).
% 28.92/28.49  cnf(10, plain, [sdtmndtplgtdt0(_16239, _16156, _16321), sdtmndtplgtdt0(_16072, _16156, _16239), -(sdtmndtplgtdt0(_16072, _16156, _16321)), aElement0(_16072), aRewritingSystem0(_16156), aElement0(_16239), aElement0(_16321)], clausify(mTCTrans)).
% 28.92/28.49  cnf(11, plain, [-(aElement0(xx))], clausify(m__349)).
% 28.92/28.49  cnf(12, plain, [-(aRewritingSystem0(xR))], clausify(m__349)).
% 28.92/28.49  cnf(13, plain, [-(aElement0(xy))], clausify(m__349)).
% 28.92/28.49  cnf(14, plain, [-(aElement0(xz))], clausify(m__349)).
% 28.92/28.49  cnf(15, plain, [aElement0(_17188), aRewritingSystem0(_17116), aElement0(_17043), 6 ^ [_17188, _17116, _17043]], clausify(mTCRDef)).
% 28.92/28.49  
% 28.92/28.49  cnf('1',plain,[-(sdtmndtasgtdt0(xx, xR, xy))],start(4)).
% 28.92/28.49  cnf('1.1',plain,[sdtmndtasgtdt0(xx, xR, xy), -(sdtmndtasgtdt0(xx, xR, xz)), xx = xx, xR = xR, xy = xz],extension(9,bind([[_10815, _10900, _10984, _11067, _11149, _11230], [xx, xx, xR, xR, xy, xz]]))).
% 28.92/28.49  cnf('1.1.1',plain,[sdtmndtasgtdt0(xx, xR, xz)],extension(6)).
% 28.92/28.49  cnf('1.1.2',plain,[-(xx = xx)],extension(7,bind([[_7600], [xx]]))).
% 28.92/28.49  cnf('1.1.3',plain,[-(xR = xR)],extension(7,bind([[_7600], [xR]]))).
% 28.92/28.49  cnf('1.1.4',plain,[-(xy = xz), -(6 ^ [xz, xR, xy]), sdtmndtasgtdt0(xy, xR, xz), -(sdtmndtplgtdt0(xy, xR, xz))],extension(2,bind([[_17043, _17116, _17188], [xy, xR, xz]]))).
% 28.92/28.49  cnf('1.1.4.1',plain,[6 ^ [xz, xR, xy], aElement0(xz), aRewritingSystem0(xR), aElement0(xy)],extension(15,bind([[_17188, _17116, _17043], [xz, xR, xy]]))).
% 28.92/28.49  cnf('1.1.4.1.1',plain,[-(aElement0(xz))],extension(14)).
% 28.92/28.49  cnf('1.1.4.1.2',plain,[-(aRewritingSystem0(xR))],extension(12)).
% 28.92/28.49  cnf('1.1.4.1.3',plain,[-(aElement0(xy))],extension(13)).
% 28.92/28.49  cnf('1.1.4.2',plain,[-(sdtmndtasgtdt0(xy, xR, xz))],extension(5)).
% 28.92/28.49  cnf('1.1.4.3',plain,[sdtmndtplgtdt0(xy, xR, xz), sdtmndtplgtdt0(xx, xR, xy), -(sdtmndtplgtdt0(xx, xR, xz)), aElement0(xx), aRewritingSystem0(xR), aElement0(xy), aElement0(xz)],extension(10,bind([[_16072, _16156, _16239, _16321], [xx, xR, xy, xz]]))).
% 28.92/28.49  cnf('1.1.4.3.1',plain,[-(sdtmndtplgtdt0(xx, xR, xy)), -(6 ^ [xy, xR, xx]), sdtmndtasgtdt0(xx, xR, xy), -(xx = xy)],extension(2,bind([[_17116, _17043, _17188], [xR, xx, xy]]))).
% 28.92/28.49  cnf('1.1.4.3.1.1',plain,[6 ^ [xy, xR, xx], aElement0(xy), aRewritingSystem0(xR), aElement0(xx)],extension(15,bind([[_17188, _17116, _17043], [xy, xR, xx]]))).
% 28.92/28.49  cnf('1.1.4.3.1.1.1',plain,[-(aElement0(xy))],extension(13)).
% 28.92/28.49  cnf('1.1.4.3.1.1.2',plain,[-(aRewritingSystem0(xR))],extension(12)).
% 28.92/28.49  cnf('1.1.4.3.1.1.3',plain,[-(aElement0(xx))],extension(11)).
% 28.92/28.49  cnf('1.1.4.3.1.2',plain,[-(sdtmndtasgtdt0(xx, xR, xy))],extension(4)).
% 28.92/28.49  cnf('1.1.4.3.1.3',plain,[xx = xy, -(xy = xx)],extension(8,bind([[_7798, _7753], [xy, xx]]))).
% 28.92/28.49  cnf('1.1.4.3.1.3.1',plain,[xy = xx, -(sdtmndtasgtdt0(xx, xR, xz)), sdtmndtasgtdt0(xy, xR, xz), xR = xR, xz = xz],extension(9,bind([[_10900, _10815, _10984, _11067, _11149, _11230], [xx, xy, xR, xR, xz, xz]]))).
% 28.92/28.49  cnf('1.1.4.3.1.3.1.1',plain,[sdtmndtasgtdt0(xx, xR, xz)],extension(6)).
% 28.92/28.49  cnf('1.1.4.3.1.3.1.2',plain,[-(sdtmndtasgtdt0(xy, xR, xz))],extension(5)).
% 28.92/28.49  cnf('1.1.4.3.1.3.1.3',plain,[-(xR = xR)],extension(7,bind([[_7600], [xR]]))).
% 28.92/28.49  cnf('1.1.4.3.1.3.1.4',plain,[-(xz = xz)],extension(7,bind([[_7600], [xz]]))).
% 28.92/28.49  cnf('1.1.4.3.2',plain,[sdtmndtplgtdt0(xx, xR, xz), -(5 ^ [xz, xR, xx])],extension(1,bind([[_17188, _17116, _17043], [xz, xR, xx]]))).
% 28.92/28.49  cnf('1.1.4.3.2.1',plain,[5 ^ [xz, xR, xx], -(6 ^ [xz, xR, xx]), -(sdtmndtasgtdt0(xx, xR, xz))],extension(3,bind([[_17043, _17116, _17188], [xx, xR, xz]]))).
% 28.92/28.49  cnf('1.1.4.3.2.1.1',plain,[6 ^ [xz, xR, xx], aElement0(xz), aRewritingSystem0(xR), aElement0(xx)],extension(15,bind([[_17188, _17116, _17043], [xz, xR, xx]]))).
% 28.92/28.49  cnf('1.1.4.3.2.1.1.1',plain,[-(aElement0(xz))],extension(14)).
% 28.92/28.49  cnf('1.1.4.3.2.1.1.2',plain,[-(aRewritingSystem0(xR))],extension(12)).
% 28.92/28.49  cnf('1.1.4.3.2.1.1.3',plain,[-(aElement0(xx))],extension(11)).
% 28.92/28.49  cnf('1.1.4.3.2.1.2',plain,[sdtmndtasgtdt0(xx, xR, xz)],extension(6)).
% 28.92/28.49  cnf('1.1.4.3.3',plain,[-(aElement0(xx))],extension(11)).
% 28.92/28.49  cnf('1.1.4.3.4',plain,[-(aRewritingSystem0(xR))],extension(12)).
% 28.92/28.49  cnf('1.1.4.3.5',plain,[-(aElement0(xy))],extension(13)).
% 28.92/28.49  cnf('1.1.4.3.6',plain,[-(aElement0(xz))],extension(14)).
% 28.92/28.49  %-----------------------------------------------------
% 28.92/28.50  
% 28.92/28.50  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------