TSTP Solution File: LAT381+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LAT381+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 05:43:44 EDT 2022
% Result : Theorem 0.23s 1.35s
% Output : Proof 0.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT381+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.10 % Command : leancop_casc.sh %s %d
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Tue Jun 28 18:55:42 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.23/1.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/1.36 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/1.36
% 0.23/1.36 %-----------------------------------------------------
% 0.23/1.36 fof(m__, conjecture, xu = xv, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 0.23/1.36 fof(mEOfElem, axiom, ! [_47708] : (aSet0(_47708) => ! [_47723] : (aElementOf0(_47723, _47708) => aElement0(_47723))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEOfElem)).
% 0.23/1.36 fof(mASymm, axiom, ! [_47894, _47897] : (aElement0(_47894) & aElement0(_47897) => sdtlseqdt0(_47894, _47897) & sdtlseqdt0(_47897, _47894) => _47894 = _47897), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mASymm)).
% 0.23/1.36 fof(mDefSup, definition, ! [_48122] : (aSet0(_48122) => ! [_48137] : (aSubsetOf0(_48137, _48122) => ! [_48155] : (aSupremumOfIn0(_48155, _48137, _48122) <=> aElementOf0(_48155, _48122) & aUpperBoundOfIn0(_48155, _48137, _48122) & ! [_48199] : (aUpperBoundOfIn0(_48199, _48137, _48122) => sdtlseqdt0(_48155, _48199))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefSup)).
% 0.23/1.36 fof(m__725, hypothesis, aSet0(xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__725)).
% 0.23/1.36 fof(m__725_01, hypothesis, aSet0(xS) & ! [_48558] : (aElementOf0(_48558, xS) => aElementOf0(_48558, xT)) & aSubsetOf0(xS, xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__725_01)).
% 0.23/1.36 fof(m__744, hypothesis, aElementOf0(xu, xT) & aElementOf0(xu, xT) & ! [_48756] : (aElementOf0(_48756, xS) => sdtlseqdt0(_48756, xu)) & aUpperBoundOfIn0(xu, xS, xT) & ! [_48756] : (aElementOf0(_48756, xT) & ! [_48814] : (aElementOf0(_48814, xS) => sdtlseqdt0(_48814, _48756)) | aUpperBoundOfIn0(_48756, xS, xT) => sdtlseqdt0(xu, _48756)) & aSupremumOfIn0(xu, xS, xT) & aElementOf0(xv, xT) & aElementOf0(xv, xT) & ! [_48756] : (aElementOf0(_48756, xS) => sdtlseqdt0(_48756, xv)) & aUpperBoundOfIn0(xv, xS, xT) & ! [_48756] : (aElementOf0(_48756, xT) & ! [_48814] : (aElementOf0(_48814, xS) => sdtlseqdt0(_48814, _48756)) | aUpperBoundOfIn0(_48756, xS, xT) => sdtlseqdt0(xv, _48756)) & aSupremumOfIn0(xv, xS, xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__744)).
% 0.23/1.36
% 0.23/1.36 cnf(1, plain, [xu = xv], clausify(m__)).
% 0.23/1.36 cnf(2, plain, [aSet0(_21304), aElementOf0(_21391, _21304), -(aElement0(_21391))], clausify(mEOfElem)).
% 0.23/1.36 cnf(3, plain, [aElement0(_23313), aElement0(_23252), -(_23252 = _23313), sdtlseqdt0(_23252, _23313), sdtlseqdt0(_23313, _23252)], clausify(mASymm)).
% 0.23/1.36 cnf(4, plain, [aSet0(_27084), aSubsetOf0(_27209, _27084), aSupremumOfIn0(_27349, _27209, _27084), aUpperBoundOfIn0(_27680, _27209, _27084), -(sdtlseqdt0(_27349, _27680))], clausify(mDefSup)).
% 0.23/1.36 cnf(5, plain, [-(aSet0(xT))], clausify(m__725)).
% 0.23/1.36 cnf(6, plain, [-(aSubsetOf0(xS, xT))], clausify(m__725_01)).
% 0.23/1.36 cnf(7, plain, [-(aElementOf0(xu, xT))], clausify(m__744)).
% 0.23/1.36 cnf(8, plain, [-(aUpperBoundOfIn0(xu, xS, xT))], clausify(m__744)).
% 0.23/1.36 cnf(9, plain, [-(aSupremumOfIn0(xu, xS, xT))], clausify(m__744)).
% 0.23/1.36 cnf(10, plain, [-(aElementOf0(xv, xT))], clausify(m__744)).
% 0.23/1.36 cnf(11, plain, [-(aUpperBoundOfIn0(xv, xS, xT))], clausify(m__744)).
% 0.23/1.36 cnf(12, plain, [-(aSupremumOfIn0(xv, xS, xT))], clausify(m__744)).
% 0.23/1.36
% 0.23/1.36 cnf('1',plain,[xu = xv],start(1)).
% 0.23/1.36 cnf('1.1',plain,[-(xu = xv), aElement0(xv), aElement0(xu), sdtlseqdt0(xu, xv), sdtlseqdt0(xv, xu)],extension(3,bind([[_23313, _23252], [xv, xu]]))).
% 0.23/1.36 cnf('1.1.1',plain,[-(aElement0(xv)), aSet0(xT), aElementOf0(xv, xT)],extension(2,bind([[_21391, _21304], [xv, xT]]))).
% 0.23/1.36 cnf('1.1.1.1',plain,[-(aSet0(xT))],extension(5)).
% 0.23/1.36 cnf('1.1.1.2',plain,[-(aElementOf0(xv, xT))],extension(10)).
% 0.23/1.36 cnf('1.1.2',plain,[-(aElement0(xu)), aSet0(xT), aElementOf0(xu, xT)],extension(2,bind([[_21391, _21304], [xu, xT]]))).
% 0.23/1.36 cnf('1.1.2.1',plain,[-(aSet0(xT))],extension(5)).
% 0.23/1.36 cnf('1.1.2.2',plain,[-(aElementOf0(xu, xT))],extension(7)).
% 0.23/1.36 cnf('1.1.3',plain,[-(sdtlseqdt0(xu, xv)), aSet0(xT), aSubsetOf0(xS, xT), aSupremumOfIn0(xu, xS, xT), aUpperBoundOfIn0(xv, xS, xT)],extension(4,bind([[_27349, _27680, _27209, _27084], [xu, xv, xS, xT]]))).
% 0.23/1.36 cnf('1.1.3.1',plain,[-(aSet0(xT))],extension(5)).
% 0.23/1.36 cnf('1.1.3.2',plain,[-(aSubsetOf0(xS, xT))],extension(6)).
% 0.23/1.36 cnf('1.1.3.3',plain,[-(aSupremumOfIn0(xu, xS, xT))],extension(9)).
% 0.23/1.36 cnf('1.1.3.4',plain,[-(aUpperBoundOfIn0(xv, xS, xT))],extension(11)).
% 0.23/1.36 cnf('1.1.4',plain,[-(sdtlseqdt0(xv, xu)), aSet0(xT), aSubsetOf0(xS, xT), aSupremumOfIn0(xv, xS, xT), aUpperBoundOfIn0(xu, xS, xT)],extension(4,bind([[_27349, _27680, _27209, _27084], [xv, xu, xS, xT]]))).
% 0.23/1.36 cnf('1.1.4.1',plain,[-(aSet0(xT))],extension(5)).
% 0.23/1.36 cnf('1.1.4.2',plain,[-(aSubsetOf0(xS, xT))],extension(6)).
% 0.23/1.36 cnf('1.1.4.3',plain,[-(aSupremumOfIn0(xv, xS, xT))],extension(12)).
% 0.23/1.36 cnf('1.1.4.4',plain,[-(aUpperBoundOfIn0(xu, xS, xT))],extension(8)).
% 0.23/1.36 %-----------------------------------------------------
% 0.23/1.36
% 0.23/1.37 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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