TSTP Solution File: LAT382+3 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : LAT382+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n032.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 : Sun Jul 17 05:43:45 EDT 2022

% Result   : Theorem 0.31s 1.36s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : LAT382+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.11  % Command  : leancop_casc.sh %s %d
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Wed Jun 29 12:10:28 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 0.31/1.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.37  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.31/1.38  
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  fof(m__, conjecture, xu = xv, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 0.31/1.38  fof(mEOfElem, axiom, ! [_49480] : (aSet0(_49480) => ! [_49495] : (aElementOf0(_49495, _49480) => aElement0(_49495))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEOfElem)).
% 0.31/1.38  fof(mASymm, axiom, ! [_49666, _49669] : (aElement0(_49666) & aElement0(_49669) => sdtlseqdt0(_49666, _49669) & sdtlseqdt0(_49669, _49666) => _49666 = _49669), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mASymm)).
% 0.31/1.38  fof(mDefInf, definition, ! [_49889] : (aSet0(_49889) => ! [_49904] : (aSubsetOf0(_49904, _49889) => ! [_49922] : (aInfimumOfIn0(_49922, _49904, _49889) <=> aElementOf0(_49922, _49889) & aLowerBoundOfIn0(_49922, _49904, _49889) & ! [_49966] : (aLowerBoundOfIn0(_49966, _49904, _49889) => sdtlseqdt0(_49966, _49922))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefInf)).
% 0.31/1.38  fof(m__773, hypothesis, aSet0(xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__773)).
% 0.31/1.38  fof(m__773_01, hypothesis, aSet0(xS) & ! [_50331] : (aElementOf0(_50331, xS) => aElementOf0(_50331, xT)) & aSubsetOf0(xS, xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__773_01)).
% 0.31/1.38  fof(m__792, hypothesis, aElementOf0(xu, xT) & aElementOf0(xu, xT) & ! [_50529] : (aElementOf0(_50529, xS) => sdtlseqdt0(xu, _50529)) & aLowerBoundOfIn0(xu, xS, xT) & ! [_50529] : (aElementOf0(_50529, xT) & ! [_50587] : (aElementOf0(_50587, xS) => sdtlseqdt0(_50529, _50587)) | aLowerBoundOfIn0(_50529, xS, xT) => sdtlseqdt0(_50529, xu)) & aInfimumOfIn0(xu, xS, xT) & aElementOf0(xv, xT) & aElementOf0(xv, xT) & ! [_50529] : (aElementOf0(_50529, xS) => sdtlseqdt0(xv, _50529)) & aLowerBoundOfIn0(xv, xS, xT) & ! [_50529] : (aElementOf0(_50529, xT) & ! [_50587] : (aElementOf0(_50587, xS) => sdtlseqdt0(_50529, _50587)) | aLowerBoundOfIn0(_50529, xS, xT) => sdtlseqdt0(_50529, xv)) & aInfimumOfIn0(xv, xS, xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__792)).
% 0.31/1.38  
% 0.31/1.38  cnf(1, plain, [xu = xv], clausify(m__)).
% 0.31/1.38  cnf(2, plain, [aSet0(_21990), aElementOf0(_22077, _21990), -(aElement0(_22077))], clausify(mEOfElem)).
% 0.31/1.38  cnf(3, plain, [aElement0(_23999), aElement0(_23938), -(_23938 = _23999), sdtlseqdt0(_23938, _23999), sdtlseqdt0(_23999, _23938)], clausify(mASymm)).
% 0.31/1.38  cnf(4, plain, [aSet0(_26771), aSubsetOf0(_26896, _26771), aInfimumOfIn0(_27036, _26896, _26771), aLowerBoundOfIn0(_27367, _26896, _26771), -(sdtlseqdt0(_27367, _27036))], clausify(mDefInf)).
% 0.31/1.38  cnf(5, plain, [-(aSet0(xT))], clausify(m__773)).
% 0.31/1.38  cnf(6, plain, [-(aSubsetOf0(xS, xT))], clausify(m__773_01)).
% 0.31/1.38  cnf(7, plain, [-(aElementOf0(xu, xT))], clausify(m__792)).
% 0.31/1.38  cnf(8, plain, [-(aLowerBoundOfIn0(xu, xS, xT))], clausify(m__792)).
% 0.31/1.38  cnf(9, plain, [-(aInfimumOfIn0(xu, xS, xT))], clausify(m__792)).
% 0.31/1.38  cnf(10, plain, [-(aElementOf0(xv, xT))], clausify(m__792)).
% 0.31/1.38  cnf(11, plain, [-(aLowerBoundOfIn0(xv, xS, xT))], clausify(m__792)).
% 0.31/1.38  cnf(12, plain, [-(aInfimumOfIn0(xv, xS, xT))], clausify(m__792)).
% 0.31/1.38  
% 0.31/1.38  cnf('1',plain,[xu = xv],start(1)).
% 0.31/1.38  cnf('1.1',plain,[-(xu = xv), aElement0(xv), aElement0(xu), sdtlseqdt0(xu, xv), sdtlseqdt0(xv, xu)],extension(3,bind([[_23999, _23938], [xv, xu]]))).
% 0.31/1.38  cnf('1.1.1',plain,[-(aElement0(xv)), aSet0(xT), aElementOf0(xv, xT)],extension(2,bind([[_22077, _21990], [xv, xT]]))).
% 0.31/1.38  cnf('1.1.1.1',plain,[-(aSet0(xT))],extension(5)).
% 0.31/1.38  cnf('1.1.1.2',plain,[-(aElementOf0(xv, xT))],extension(10)).
% 0.31/1.38  cnf('1.1.2',plain,[-(aElement0(xu)), aSet0(xT), aElementOf0(xu, xT)],extension(2,bind([[_22077, _21990], [xu, xT]]))).
% 0.31/1.38  cnf('1.1.2.1',plain,[-(aSet0(xT))],extension(5)).
% 0.31/1.38  cnf('1.1.2.2',plain,[-(aElementOf0(xu, xT))],extension(7)).
% 0.31/1.38  cnf('1.1.3',plain,[-(sdtlseqdt0(xu, xv)), aSet0(xT), aSubsetOf0(xS, xT), aInfimumOfIn0(xv, xS, xT), aLowerBoundOfIn0(xu, xS, xT)],extension(4,bind([[_27036, _27367, _26896, _26771], [xv, xu, xS, xT]]))).
% 0.31/1.38  cnf('1.1.3.1',plain,[-(aSet0(xT))],extension(5)).
% 0.31/1.38  cnf('1.1.3.2',plain,[-(aSubsetOf0(xS, xT))],extension(6)).
% 0.31/1.38  cnf('1.1.3.3',plain,[-(aInfimumOfIn0(xv, xS, xT))],extension(12)).
% 0.31/1.38  cnf('1.1.3.4',plain,[-(aLowerBoundOfIn0(xu, xS, xT))],extension(8)).
% 0.31/1.38  cnf('1.1.4',plain,[-(sdtlseqdt0(xv, xu)), aSet0(xT), aSubsetOf0(xS, xT), aInfimumOfIn0(xu, xS, xT), aLowerBoundOfIn0(xv, xS, xT)],extension(4,bind([[_27036, _27367, _26896, _26771], [xu, xv, xS, xT]]))).
% 0.31/1.38  cnf('1.1.4.1',plain,[-(aSet0(xT))],extension(5)).
% 0.31/1.38  cnf('1.1.4.2',plain,[-(aSubsetOf0(xS, xT))],extension(6)).
% 0.31/1.38  cnf('1.1.4.3',plain,[-(aInfimumOfIn0(xu, xS, xT))],extension(9)).
% 0.31/1.38  cnf('1.1.4.4',plain,[-(aLowerBoundOfIn0(xv, xS, xT))],extension(11)).
% 0.31/1.38  %-----------------------------------------------------
% 0.31/1.38  
% 0.31/1.38  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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