TSTP Solution File: NUM534+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM534+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 11:41:45 EDT 2022
% Result : Theorem 206.44s 199.74s
% Output : Proof 206.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM534+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n003.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 : Thu Jul 7 06:45:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 206.44/199.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 206.44/199.74 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 206.44/199.75
% 206.44/199.75 %-----------------------------------------------------
% 206.44/199.75 fof(m__, conjecture, aSet0(sdtmndt0(xS, xx)) & ! [_63041] : (aElementOf0(_63041, sdtmndt0(xS, xx)) <=> aElement0(_63041) & aElementOf0(_63041, xS) & (! _63041) = xx) => aSet0(sdtpldt0(sdtmndt0(xS, xx), xx)) & ! [_63041] : (aElementOf0(_63041, sdtpldt0(sdtmndt0(xS, xx), xx)) <=> aElement0(_63041) & (aElementOf0(_63041, sdtmndt0(xS, xx)) | _63041 = xx)) => sdtpldt0(sdtmndt0(xS, xx), xx) = xS, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 206.44/199.75 fof(mDefDiff, definition, ! [_63578, _63581] : (aSet0(_63578) & aElement0(_63581) => ! [_63603] : (_63603 = sdtmndt0(_63578, _63581) <=> aSet0(_63603) & ! [_63631] : (aElementOf0(_63631, _63603) <=> aElement0(_63631) & aElementOf0(_63631, _63578) & (! _63631) = _63581))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefDiff)).
% 206.44/199.75 fof(mEOfElem, axiom, ! [_63940] : (aSet0(_63940) => ! [_63955] : (aElementOf0(_63955, _63940) => aElement0(_63955))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEOfElem)).
% 206.44/199.75 fof(mDefCons, definition, ! [_64133, _64136] : (aSet0(_64133) & aElement0(_64136) => ! [_64158] : (_64158 = sdtpldt0(_64133, _64136) <=> aSet0(_64158) & ! [_64186] : (aElementOf0(_64186, _64158) <=> aElement0(_64186) & (aElementOf0(_64186, _64133) | _64186 = _64136)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefCons)).
% 206.44/199.75 fof(m__617, hypothesis, aSet0(xS), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__617)).
% 206.44/199.75 fof(m__617_02, hypothesis, aElementOf0(xx, xS), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__617_02)).
% 206.44/199.75
% 206.44/199.75 cnf(1, plain, [-(5 ^ [_23458]), _23458 = xx], clausify(m__)).
% 206.44/199.75 cnf(2, plain, [aElementOf0(_23458, sdtmndt0(xS, xx)), 5 ^ [_23458]], clausify(m__)).
% 206.44/199.75 cnf(3, plain, [-(_11235 = _11235)], theory(equality)).
% 206.44/199.75 cnf(4, plain, [aElement0(_21994), aSet0(_21902), _22176 = sdtmndt0(_21902, _21994), aElementOf0(_22390, _22176), -(aElementOf0(_22390, _21902))], clausify(mDefDiff)).
% 206.44/199.75 cnf(5, plain, [aSet0(_16534), aElementOf0(_16621, _16534), -(aElement0(_16621))], clausify(mEOfElem)).
% 206.44/199.75 cnf(6, plain, [-(aElementOf0(_12539, _12670)), aElementOf0(_12472, _12605), _12472 = _12539, _12605 = _12670], theory(equality)).
% 206.44/199.75 cnf(7, plain, [aElement0(_21040), aSet0(_20950), -(_21220 = sdtpldt0(_20950, _21040)), aSet0(_21220), -(aElementOf0(3 ^ [_21220, _21040, _20950], _21220)), -(aElementOf0(3 ^ [_21220, _21040, _20950], _20950)), -(3 ^ [_21220, _21040, _20950] = _21040)], clausify(mDefCons)).
% 206.44/199.75 cnf(8, plain, [-(aSet0(xS))], clausify(m__617)).
% 206.44/199.75 cnf(9, plain, [_11388 = _11433, -(_11433 = _11388)], theory(equality)).
% 206.44/199.75 cnf(10, plain, [-(aElementOf0(_23458, sdtmndt0(xS, xx))), aElement0(_23458), aElementOf0(_23458, xS), -(_23458 = xx)], clausify(m__)).
% 206.44/199.75 cnf(11, plain, [-(aSet0(sdtmndt0(xS, xx)))], clausify(m__)).
% 206.44/199.75 cnf(12, plain, [aElement0(_21040), aSet0(_20950), -(_21220 = sdtpldt0(_20950, _21040)), aSet0(_21220), aElementOf0(3 ^ [_21220, _21040, _20950], _21220), aElement0(3 ^ [_21220, _21040, _20950]), aElementOf0(3 ^ [_21220, _21040, _20950], _20950)], clausify(mDefCons)).
% 206.44/199.75 cnf(13, plain, [aElement0(_21040), aSet0(_20950), -(_21220 = sdtpldt0(_20950, _21040)), aSet0(_21220), aElementOf0(3 ^ [_21220, _21040, _20950], _21220), aElement0(3 ^ [_21220, _21040, _20950]), 3 ^ [_21220, _21040, _20950] = _21040], clausify(mDefCons)).
% 206.44/199.75 cnf(14, plain, [-(aElementOf0(xx, xS))], clausify(m__617_02)).
% 206.44/199.75 cnf(15, plain, [sdtpldt0(sdtmndt0(xS, xx), xx) = xS], clausify(m__)).
% 206.44/199.75
% 206.44/199.75 cnf('1',plain,[aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], sdtmndt0(xS, xx)), 5 ^ [3 ^ [xS, xx, sdtmndt0(xS, xx)]]],start(2,bind([[_23458], [3 ^ [xS, xx, sdtmndt0(xS, xx)]]]))).
% 206.44/199.75 cnf('1.1',plain,[-(aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], sdtmndt0(xS, xx))), aElement0(xx), aSet0(sdtmndt0(xS, xx)), -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), aSet0(xS), -(aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS)), -(3 ^ [xS, xx, sdtmndt0(xS, xx)] = xx)],extension(7,bind([[_21220, _20950, _21040], [xS, sdtmndt0(xS, xx), xx]]))).
% 206.44/199.75 cnf('1.1.1',plain,[-(aElement0(xx)), aSet0(xS), aElementOf0(xx, xS)],extension(5,bind([[_16621, _16534], [xx, xS]]))).
% 206.44/199.75 cnf('1.1.1.1',plain,[-(aSet0(xS))],extension(8)).
% 206.44/199.75 cnf('1.1.1.2',plain,[-(aElementOf0(xx, xS)), aElementOf0(xx, xS), xx = xx, xS = xS],extension(6,bind([[_12472, _12539, _12605, _12670], [xx, xx, xS, xS]]))).
% 206.44/199.75 cnf('1.1.1.2.1',plain,[-(aElementOf0(xx, xS))],extension(14)).
% 206.44/199.75 cnf('1.1.1.2.2',plain,[-(xx = xx)],extension(3,bind([[_11235], [xx]]))).
% 206.44/199.75 cnf('1.1.1.2.3',plain,[-(xS = xS)],extension(3,bind([[_11235], [xS]]))).
% 206.44/199.75 cnf('1.1.2',plain,[-(aSet0(sdtmndt0(xS, xx)))],extension(11)).
% 206.44/199.75 cnf('1.1.3',plain,[xS = sdtpldt0(sdtmndt0(xS, xx), xx), -(sdtpldt0(sdtmndt0(xS, xx), xx) = xS)],extension(9,bind([[_11433, _11388], [sdtpldt0(sdtmndt0(xS, xx), xx), xS]]))).
% 206.44/199.75 cnf('1.1.3.1',plain,[sdtpldt0(sdtmndt0(xS, xx), xx) = xS],extension(15)).
% 206.44/199.75 cnf('1.1.4',plain,[-(aSet0(xS))],extension(8)).
% 206.44/199.75 cnf('1.1.5',plain,[aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS), aSet0(xS), -(aElement0(3 ^ [xS, xx, sdtmndt0(xS, xx)]))],extension(5,bind([[_16534, _16621], [xS, 3 ^ [xS, xx, sdtmndt0(xS, xx)]]]))).
% 206.44/199.75 cnf('1.1.5.1',plain,[-(aSet0(xS))],extension(8)).
% 206.44/199.75 cnf('1.1.5.2',plain,[aElement0(3 ^ [xS, xx, sdtmndt0(xS, xx)]), -(aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], sdtmndt0(xS, xx))), aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS), -(3 ^ [xS, xx, sdtmndt0(xS, xx)] = xx)],extension(10,bind([[_23458], [3 ^ [xS, xx, sdtmndt0(xS, xx)]]]))).
% 206.44/199.75 cnf('1.1.5.2.1',plain,[aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], sdtmndt0(xS, xx))],reduction('1')).
% 206.44/199.75 cnf('1.1.5.2.2',plain,[-(aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS))],reduction('1.1')).
% 206.44/199.75 cnf('1.1.5.2.3',plain,[3 ^ [xS, xx, sdtmndt0(xS, xx)] = xx, aElement0(xx), aSet0(sdtmndt0(xS, xx)), -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), aSet0(xS), aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS), aElement0(3 ^ [xS, xx, sdtmndt0(xS, xx)])],extension(13,bind([[_21220, _21040, _20950], [xS, xx, sdtmndt0(xS, xx)]]))).
% 206.44/199.75 cnf('1.1.5.2.3.1',plain,[-(aElement0(xx))],lemmata('1.1')).
% 206.44/199.75 cnf('1.1.5.2.3.2',plain,[-(aSet0(sdtmndt0(xS, xx)))],extension(11)).
% 206.44/199.75 cnf('1.1.5.2.3.3',plain,[xS = sdtpldt0(sdtmndt0(xS, xx), xx)],lemmata('1.1')).
% 206.44/199.75 cnf('1.1.5.2.3.4',plain,[-(aSet0(xS))],extension(8)).
% 206.44/199.75 cnf('1.1.5.2.3.5',plain,[-(aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS))],lemmata('1.1.5.2')).
% 206.44/199.75 cnf('1.1.5.2.3.6',plain,[-(aElement0(3 ^ [xS, xx, sdtmndt0(xS, xx)]))],reduction('1.1.5')).
% 206.44/199.75 cnf('1.1.6',plain,[3 ^ [xS, xx, sdtmndt0(xS, xx)] = xx, aElement0(xx), aSet0(sdtmndt0(xS, xx)), -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), aSet0(xS), aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS), aElement0(3 ^ [xS, xx, sdtmndt0(xS, xx)])],extension(13,bind([[_21220, _21040, _20950], [xS, xx, sdtmndt0(xS, xx)]]))).
% 206.44/199.75 cnf('1.1.6.1',plain,[-(aElement0(xx))],lemmata('1.1')).
% 206.44/199.75 cnf('1.1.6.2',plain,[-(aSet0(sdtmndt0(xS, xx)))],extension(11)).
% 206.44/199.75 cnf('1.1.6.3',plain,[xS = sdtpldt0(sdtmndt0(xS, xx), xx)],lemmata('1.1')).
% 206.44/199.75 cnf('1.1.6.4',plain,[-(aSet0(xS))],extension(8)).
% 206.44/199.75 cnf('1.1.6.5',plain,[-(aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS)), aElementOf0(xx, xS), xx = 3 ^ [xS, xx, sdtmndt0(xS, xx)], xS = xS],extension(6,bind([[_12472, _12539, _12605, _12670], [xx, 3 ^ [xS, xx, sdtmndt0(xS, xx)], xS, xS]]))).
% 206.44/199.75 cnf('1.1.6.5.1',plain,[-(aElementOf0(xx, xS))],extension(14)).
% 206.44/199.75 cnf('1.1.6.5.2',plain,[-(xx = 3 ^ [xS, xx, sdtmndt0(xS, xx)]), 3 ^ [xS, xx, sdtmndt0(xS, xx)] = xx],extension(9,bind([[_11388, _11433], [3 ^ [xS, xx, sdtmndt0(xS, xx)], xx]]))).
% 206.44/199.75 cnf('1.1.6.5.2.1',plain,[-(3 ^ [xS, xx, sdtmndt0(xS, xx)] = xx)],reduction('1.1')).
% 206.44/199.75 cnf('1.1.6.5.3',plain,[-(xS = xS)],extension(3,bind([[_11235], [xS]]))).
% 206.44/199.75 cnf('1.1.6.6',plain,[-(aElement0(3 ^ [xS, xx, sdtmndt0(xS, xx)])), aSet0(xS), aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS)],extension(5,bind([[_16621, _16534], [3 ^ [xS, xx, sdtmndt0(xS, xx)], xS]]))).
% 206.44/199.75 cnf('1.1.6.6.1',plain,[-(aSet0(xS))],extension(8)).
% 206.44/199.75 cnf('1.1.6.6.2',plain,[-(aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS))],lemmata('1.1.6')).
% 206.44/199.75 cnf('1.2',plain,[-(5 ^ [3 ^ [xS, xx, sdtmndt0(xS, xx)]]), 3 ^ [xS, xx, sdtmndt0(xS, xx)] = xx],extension(1,bind([[_23458], [3 ^ [xS, xx, sdtmndt0(xS, xx)]]]))).
% 206.44/199.75 cnf('1.2.1',plain,[-(3 ^ [xS, xx, sdtmndt0(xS, xx)] = xx), aElement0(xx), aSet0(sdtmndt0(xS, xx)), -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), aSet0(xS), -(aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS)), -(aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], sdtmndt0(xS, xx)))],extension(7,bind([[_21220, _21040, _20950], [xS, xx, sdtmndt0(xS, xx)]]))).
% 206.44/199.75 cnf('1.2.1.1',plain,[-(aElement0(xx)), aSet0(xS), aElementOf0(xx, xS)],extension(5,bind([[_16621, _16534], [xx, xS]]))).
% 206.44/199.75 cnf('1.2.1.1.1',plain,[-(aSet0(xS))],extension(8)).
% 206.44/199.75 cnf('1.2.1.1.2',plain,[-(aElementOf0(xx, xS))],extension(14)).
% 206.44/199.75 cnf('1.2.1.2',plain,[-(aSet0(sdtmndt0(xS, xx)))],extension(11)).
% 206.44/199.75 cnf('1.2.1.3',plain,[xS = sdtpldt0(sdtmndt0(xS, xx), xx), -(sdtpldt0(sdtmndt0(xS, xx), xx) = xS)],extension(9,bind([[_11433, _11388], [sdtpldt0(sdtmndt0(xS, xx), xx), xS]]))).
% 206.44/199.75 cnf('1.2.1.3.1',plain,[sdtpldt0(sdtmndt0(xS, xx), xx) = xS],extension(15)).
% 206.44/199.75 cnf('1.2.1.4',plain,[-(aSet0(xS))],extension(8)).
% 206.44/199.75 cnf('1.2.1.5',plain,[aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS), aSet0(xS), -(aElement0(3 ^ [xS, xx, sdtmndt0(xS, xx)]))],extension(5,bind([[_16534, _16621], [xS, 3 ^ [xS, xx, sdtmndt0(xS, xx)]]]))).
% 206.44/199.75 cnf('1.2.1.5.1',plain,[-(aSet0(xS))],extension(8)).
% 206.44/199.75 cnf('1.2.1.5.2',plain,[aElement0(3 ^ [xS, xx, sdtmndt0(xS, xx)]), aElement0(xx), aSet0(sdtmndt0(xS, xx)), -(xS = sdtpldt0(sdtmndt0(xS, xx), xx)), aSet0(xS), aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS), aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], sdtmndt0(xS, xx))],extension(12,bind([[_21220, _21040, _20950], [xS, xx, sdtmndt0(xS, xx)]]))).
% 206.44/199.75 cnf('1.2.1.5.2.1',plain,[-(aElement0(xx))],lemmata('1.2.1')).
% 206.44/199.75 cnf('1.2.1.5.2.2',plain,[-(aSet0(sdtmndt0(xS, xx)))],extension(11)).
% 206.44/199.75 cnf('1.2.1.5.2.3',plain,[xS = sdtpldt0(sdtmndt0(xS, xx), xx)],lemmata('1.2.1')).
% 206.44/199.75 cnf('1.2.1.5.2.4',plain,[-(aSet0(xS))],extension(8)).
% 206.44/199.75 cnf('1.2.1.5.2.5',plain,[-(aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS))],reduction('1.2.1')).
% 206.44/199.75 cnf('1.2.1.5.2.6',plain,[-(aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], sdtmndt0(xS, xx)))],lemmata('1')).
% 206.44/199.75 cnf('1.2.1.6',plain,[aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], sdtmndt0(xS, xx)), aElement0(xx), aSet0(xS), sdtmndt0(xS, xx) = sdtmndt0(xS, xx), -(aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS))],extension(4,bind([[_22176, _21994, _22390, _21902], [sdtmndt0(xS, xx), xx, 3 ^ [xS, xx, sdtmndt0(xS, xx)], xS]]))).
% 206.44/199.75 cnf('1.2.1.6.1',plain,[-(aElement0(xx)), aSet0(xS), aElementOf0(xx, xS)],extension(5,bind([[_16621, _16534], [xx, xS]]))).
% 206.44/199.75 cnf('1.2.1.6.1.1',plain,[-(aSet0(xS))],extension(8)).
% 206.44/199.75 cnf('1.2.1.6.1.2',plain,[-(aElementOf0(xx, xS))],extension(14)).
% 206.44/199.75 cnf('1.2.1.6.2',plain,[-(aSet0(xS))],extension(8)).
% 206.44/199.75 cnf('1.2.1.6.3',plain,[-(sdtmndt0(xS, xx) = sdtmndt0(xS, xx))],extension(3,bind([[_11235], [sdtmndt0(xS, xx)]]))).
% 206.44/199.75 cnf('1.2.1.6.4',plain,[aElementOf0(3 ^ [xS, xx, sdtmndt0(xS, xx)], xS)],lemmata('1.2.1')).
% 206.44/199.75 %-----------------------------------------------------
% 206.44/199.75
% 206.44/199.76 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------