TSTP Solution File: NUM536+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM536+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n013.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 11:41:47 EDT 2022
% Result : Theorem 0.77s 1.40s
% Output : Proof 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM536+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 21:49:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.77/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.77/1.41
% 0.77/1.41 %-----------------------------------------------------
% 0.77/1.41 fof(m__, conjecture, aSet0(sdtpldt0(xS, xx)) & ! [_51217] : (aElementOf0(_51217, sdtpldt0(xS, xx)) <=> aElement0(_51217) & (aElementOf0(_51217, xS) | _51217 = xx)) => aSet0(sdtmndt0(sdtpldt0(xS, xx), xx)) & ! [_51217] : (aElementOf0(_51217, sdtmndt0(sdtpldt0(xS, xx), xx)) <=> aElement0(_51217) & aElementOf0(_51217, sdtpldt0(xS, xx)) & (! _51217) = xx) => sdtmndt0(sdtpldt0(xS, xx), xx) = xS, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 0.77/1.41 fof(mEOfElem, axiom, ! [_51813] : (aSet0(_51813) => ! [_51828] : (aElementOf0(_51828, _51813) => aElement0(_51828))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mEOfElem)).
% 0.77/1.41 fof(mDefCons, definition, ! [_52008, _52011] : (aSet0(_52008) & aElement0(_52011) => ! [_52033] : (_52033 = sdtpldt0(_52008, _52011) <=> aSet0(_52033) & ! [_52061] : (aElementOf0(_52061, _52033) <=> aElement0(_52061) & (aElementOf0(_52061, _52008) | _52061 = _52011)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefCons)).
% 0.77/1.41 fof(m__679, hypothesis, aElement0(xx) & aSet0(xS), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__679)).
% 0.77/1.41 fof(m__679_02, hypothesis, ~ aElementOf0(xx, xS), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__679_02)).
% 0.77/1.41 fof(mDefDiff, definition, ! [_52492, _52495] : (aSet0(_52492) & aElement0(_52495) => ! [_52517] : (_52517 = sdtmndt0(_52492, _52495) <=> aSet0(_52517) & ! [_52545] : (aElementOf0(_52545, _52517) <=> aElement0(_52545) & aElementOf0(_52545, _52492) & (! _52545) = _52495))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefDiff)).
% 0.77/1.41
% 0.77/1.41 cnf(1, plain, [-(6 ^ [_24548]), aElementOf0(_24548, xS)], clausify(m__)).
% 0.77/1.41 cnf(2, plain, [sdtmndt0(sdtpldt0(xS, xx), xx) = xS], clausify(m__)).
% 0.77/1.41 cnf(3, plain, [-(aSet0(sdtpldt0(xS, xx)))], clausify(m__)).
% 0.77/1.41 cnf(4, plain, [-(aElementOf0(_24548, sdtpldt0(xS, xx))), aElement0(_24548), 6 ^ [_24548]], clausify(m__)).
% 0.77/1.41 cnf(5, plain, [-(_11787 = _11787)], theory(equality)).
% 0.77/1.41 cnf(6, plain, [_11940 = _11985, -(_11985 = _11940)], theory(equality)).
% 0.77/1.41 cnf(7, plain, [-(aElementOf0(_13091, _13222)), aElementOf0(_13024, _13157), _13024 = _13091, _13157 = _13222], theory(equality)).
% 0.77/1.41 cnf(8, plain, [aSet0(_17086), aElementOf0(_17173, _17086), -(aElement0(_17173))], clausify(mEOfElem)).
% 0.77/1.41 cnf(9, plain, [aElement0(_21592), aSet0(_21502), _21772 = sdtpldt0(_21502, _21592), aElementOf0(_21984, _21772), -(aElementOf0(_21984, _21502)), -(_21984 = _21592)], clausify(mDefCons)).
% 0.77/1.41 cnf(10, plain, [-(aElement0(xx))], clausify(m__679)).
% 0.77/1.41 cnf(11, plain, [-(aSet0(xS))], clausify(m__679)).
% 0.77/1.41 cnf(12, plain, [aElementOf0(xx, xS)], clausify(m__679_02)).
% 0.77/1.41 cnf(13, plain, [aElement0(_22546), aSet0(_22454), -(_22728 = sdtmndt0(_22454, _22546)), aSet0(_22728), -(aElementOf0(4 ^ [_22728, _22546, _22454], _22728)), -(aElement0(4 ^ [_22728, _22546, _22454]))], clausify(mDefDiff)).
% 0.77/1.41 cnf(14, plain, [aElement0(_22546), aSet0(_22454), -(_22728 = sdtmndt0(_22454, _22546)), aSet0(_22728), -(aElementOf0(4 ^ [_22728, _22546, _22454], _22728)), -(aElementOf0(4 ^ [_22728, _22546, _22454], _22454))], clausify(mDefDiff)).
% 0.77/1.41 cnf(15, plain, [aElement0(_22546), aSet0(_22454), -(_22728 = sdtmndt0(_22454, _22546)), aSet0(_22728), -(aElementOf0(4 ^ [_22728, _22546, _22454], _22728)), 4 ^ [_22728, _22546, _22454] = _22546], clausify(mDefDiff)).
% 0.77/1.41 cnf(16, plain, [aElement0(_22546), aSet0(_22454), -(_22728 = sdtmndt0(_22454, _22546)), aSet0(_22728), aElementOf0(4 ^ [_22728, _22546, _22454], _22728), aElement0(4 ^ [_22728, _22546, _22454]), aElementOf0(4 ^ [_22728, _22546, _22454], _22454), -(4 ^ [_22728, _22546, _22454] = _22546)], clausify(mDefDiff)).
% 0.77/1.41
% 0.77/1.41 cnf('1',plain,[sdtmndt0(sdtpldt0(xS, xx), xx) = xS],start(2)).
% 0.77/1.41 cnf('1.1',plain,[-(sdtmndt0(sdtpldt0(xS, xx), xx) = xS), xS = sdtmndt0(sdtpldt0(xS, xx), xx)],extension(6,bind([[_11940, _11985], [xS, sdtmndt0(sdtpldt0(xS, xx), xx)]]))).
% 0.77/1.41 cnf('1.1.1',plain,[-(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), aElement0(xx), aSet0(sdtpldt0(xS, xx)), aSet0(xS), aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS), aElement0(4 ^ [xS, xx, sdtpldt0(xS, xx)]), aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], sdtpldt0(xS, xx)), -(4 ^ [xS, xx, sdtpldt0(xS, xx)] = xx)],extension(16,bind([[_22728, _22454, _22546], [xS, sdtpldt0(xS, xx), xx]]))).
% 0.77/1.41 cnf('1.1.1.1',plain,[-(aElement0(xx))],extension(10)).
% 0.77/1.41 cnf('1.1.1.2',plain,[-(aSet0(sdtpldt0(xS, xx)))],extension(3)).
% 0.77/1.41 cnf('1.1.1.3',plain,[-(aSet0(xS))],extension(11)).
% 0.77/1.41 cnf('1.1.1.4',plain,[-(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS)), aElement0(xx), aSet0(xS), sdtpldt0(xS, xx) = sdtpldt0(xS, xx), aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], sdtpldt0(xS, xx)), -(4 ^ [xS, xx, sdtpldt0(xS, xx)] = xx)],extension(9,bind([[_21502, _21772, _21984, _21592], [xS, sdtpldt0(xS, xx), 4 ^ [xS, xx, sdtpldt0(xS, xx)], xx]]))).
% 0.77/1.41 cnf('1.1.1.4.1',plain,[-(aElement0(xx))],extension(10)).
% 0.77/1.41 cnf('1.1.1.4.2',plain,[-(aSet0(xS))],extension(11)).
% 0.77/1.41 cnf('1.1.1.4.3',plain,[-(sdtpldt0(xS, xx) = sdtpldt0(xS, xx))],extension(5,bind([[_11787], [sdtpldt0(xS, xx)]]))).
% 0.77/1.41 cnf('1.1.1.4.4',plain,[-(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], sdtpldt0(xS, xx))), aElement0(xx), aSet0(sdtpldt0(xS, xx)), -(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), aSet0(xS), -(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS))],extension(14,bind([[_22546, _22454, _22728], [xx, sdtpldt0(xS, xx), xS]]))).
% 0.77/1.41 cnf('1.1.1.4.4.1',plain,[-(aElement0(xx))],extension(10)).
% 0.77/1.41 cnf('1.1.1.4.4.2',plain,[-(aSet0(sdtpldt0(xS, xx)))],extension(3)).
% 0.77/1.41 cnf('1.1.1.4.4.3',plain,[xS = sdtmndt0(sdtpldt0(xS, xx), xx)],reduction('1.1')).
% 0.77/1.41 cnf('1.1.1.4.4.4',plain,[-(aSet0(xS))],extension(11)).
% 0.77/1.41 cnf('1.1.1.4.4.5',plain,[aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS)],reduction('1.1.1')).
% 0.77/1.41 cnf('1.1.1.4.5',plain,[4 ^ [xS, xx, sdtpldt0(xS, xx)] = xx, aElement0(xx), aSet0(sdtpldt0(xS, xx)), -(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), aSet0(xS), -(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS))],extension(15,bind([[_22546, _22454, _22728], [xx, sdtpldt0(xS, xx), xS]]))).
% 0.77/1.41 cnf('1.1.1.4.5.1',plain,[-(aElement0(xx))],extension(10)).
% 0.77/1.41 cnf('1.1.1.4.5.2',plain,[-(aSet0(sdtpldt0(xS, xx)))],extension(3)).
% 0.77/1.41 cnf('1.1.1.4.5.3',plain,[xS = sdtmndt0(sdtpldt0(xS, xx), xx)],reduction('1.1')).
% 0.77/1.41 cnf('1.1.1.4.5.4',plain,[-(aSet0(xS))],extension(11)).
% 0.77/1.41 cnf('1.1.1.4.5.5',plain,[aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS)],reduction('1.1.1')).
% 0.77/1.41 cnf('1.1.1.5',plain,[-(aElement0(4 ^ [xS, xx, sdtpldt0(xS, xx)])), aElement0(xx), aSet0(sdtpldt0(xS, xx)), -(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), aSet0(xS), -(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS))],extension(13,bind([[_22546, _22454, _22728], [xx, sdtpldt0(xS, xx), xS]]))).
% 0.77/1.41 cnf('1.1.1.5.1',plain,[-(aElement0(xx))],extension(10)).
% 0.77/1.41 cnf('1.1.1.5.2',plain,[-(aSet0(sdtpldt0(xS, xx)))],extension(3)).
% 0.77/1.41 cnf('1.1.1.5.3',plain,[xS = sdtmndt0(sdtpldt0(xS, xx), xx)],reduction('1.1')).
% 0.77/1.41 cnf('1.1.1.5.4',plain,[-(aSet0(xS))],extension(11)).
% 0.77/1.41 cnf('1.1.1.5.5',plain,[aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS), aSet0(xS), -(aElement0(4 ^ [xS, xx, sdtpldt0(xS, xx)]))],extension(8,bind([[_17086, _17173], [xS, 4 ^ [xS, xx, sdtpldt0(xS, xx)]]]))).
% 0.77/1.41 cnf('1.1.1.5.5.1',plain,[-(aSet0(xS))],extension(11)).
% 0.77/1.41 cnf('1.1.1.5.5.2',plain,[aElement0(4 ^ [xS, xx, sdtpldt0(xS, xx)])],reduction('1.1.1')).
% 0.77/1.42 cnf('1.1.1.6',plain,[-(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], sdtpldt0(xS, xx))), aElement0(4 ^ [xS, xx, sdtpldt0(xS, xx)]), 6 ^ [4 ^ [xS, xx, sdtpldt0(xS, xx)]]],extension(4,bind([[_24548], [4 ^ [xS, xx, sdtpldt0(xS, xx)]]]))).
% 0.77/1.42 cnf('1.1.1.6.1',plain,[-(aElement0(4 ^ [xS, xx, sdtpldt0(xS, xx)]))],lemmata('1.1.1')).
% 0.77/1.42 cnf('1.1.1.6.2',plain,[-(6 ^ [4 ^ [xS, xx, sdtpldt0(xS, xx)]]), aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS)],extension(1,bind([[_24548], [4 ^ [xS, xx, sdtpldt0(xS, xx)]]]))).
% 0.77/1.42 cnf('1.1.1.6.2.1',plain,[-(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS))],lemmata('1.1.1')).
% 0.77/1.42 cnf('1.1.1.7',plain,[4 ^ [xS, xx, sdtpldt0(xS, xx)] = xx, -(aElementOf0(xx, xS)), aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS), xS = xS],extension(7,bind([[_13091, _13024, _13157, _13222], [xx, 4 ^ [xS, xx, sdtpldt0(xS, xx)], xS, xS]]))).
% 0.77/1.42 cnf('1.1.1.7.1',plain,[aElementOf0(xx, xS)],extension(12)).
% 0.77/1.42 cnf('1.1.1.7.2',plain,[-(aElementOf0(4 ^ [xS, xx, sdtpldt0(xS, xx)], xS)), aElement0(xx), aSet0(sdtpldt0(xS, xx)), -(xS = sdtmndt0(sdtpldt0(xS, xx), xx)), aSet0(xS), 4 ^ [xS, xx, sdtpldt0(xS, xx)] = xx],extension(15,bind([[_22728, _22454, _22546], [xS, sdtpldt0(xS, xx), xx]]))).
% 0.77/1.42 cnf('1.1.1.7.2.1',plain,[-(aElement0(xx))],extension(10)).
% 0.77/1.42 cnf('1.1.1.7.2.2',plain,[-(aSet0(sdtpldt0(xS, xx)))],extension(3)).
% 0.77/1.42 cnf('1.1.1.7.2.3',plain,[xS = sdtmndt0(sdtpldt0(xS, xx), xx)],reduction('1.1')).
% 0.77/1.42 cnf('1.1.1.7.2.4',plain,[-(aSet0(xS))],extension(11)).
% 0.77/1.42 cnf('1.1.1.7.2.5',plain,[-(4 ^ [xS, xx, sdtpldt0(xS, xx)] = xx)],reduction('1.1.1')).
% 0.77/1.42 cnf('1.1.1.7.3',plain,[-(xS = xS)],extension(5,bind([[_11787], [xS]]))).
% 0.77/1.42 %-----------------------------------------------------
% 0.77/1.42
% 0.77/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------