TSTP Solution File: LAT382+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LAT382+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 0.38s 1.40s
% Output : Proof 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT382+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 28 19:20:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.38/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/1.41
% 0.38/1.41 %-----------------------------------------------------
% 0.38/1.41 fof(m__, conjecture, xu = xv, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 0.38/1.41 fof(mEOfElem, axiom, ! [_53101] : (aSet0(_53101) => ! [_53116] : (aElementOf0(_53116, _53101) => aElement0(_53116))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEOfElem)).
% 0.38/1.41 fof(mASymm, axiom, ! [_53287, _53290] : (aElement0(_53287) & aElement0(_53290) => sdtlseqdt0(_53287, _53290) & sdtlseqdt0(_53290, _53287) => _53287 = _53290), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mASymm)).
% 0.38/1.41 fof(mDefLB, definition, ! [_53500] : (aSet0(_53500) => ! [_53515] : (aSubsetOf0(_53515, _53500) => ! [_53533] : (aLowerBoundOfIn0(_53533, _53515, _53500) <=> aElementOf0(_53533, _53500) & ! [_53564] : (aElementOf0(_53564, _53515) => sdtlseqdt0(_53533, _53564))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefLB)).
% 0.38/1.41 fof(mDefInf, definition, ! [_53844] : (aSet0(_53844) => ! [_53859] : (aSubsetOf0(_53859, _53844) => ! [_53877] : (aInfimumOfIn0(_53877, _53859, _53844) <=> aElementOf0(_53877, _53844) & aLowerBoundOfIn0(_53877, _53859, _53844) & ! [_53921] : (aLowerBoundOfIn0(_53921, _53859, _53844) => sdtlseqdt0(_53921, _53877))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefInf)).
% 0.38/1.41 fof(m__773, hypothesis, aSet0(xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__773)).
% 0.38/1.41 fof(m__773_01, hypothesis, aSubsetOf0(xS, xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__773_01)).
% 0.38/1.41 fof(m__792, hypothesis, aInfimumOfIn0(xu, xS, xT) & aInfimumOfIn0(xv, xS, xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__792)).
% 0.38/1.41
% 0.38/1.41 cnf(1, plain, [xu = xv], clausify(m__)).
% 0.38/1.41 cnf(2, plain, [-(_11116 = _11116)], theory(equality)).
% 0.38/1.41 cnf(3, plain, [-(aElementOf0(_12420, _12551)), aElementOf0(_12353, _12486), _12353 = _12420, _12486 = _12551], theory(equality)).
% 0.38/1.41 cnf(4, plain, [-(aInfimumOfIn0(_13062, _13229, _13392)), aInfimumOfIn0(_12977, _13146, _13311), _12977 = _13062, _13146 = _13229, _13311 = _13392], theory(equality)).
% 0.38/1.41 cnf(5, plain, [-(aLowerBoundOfIn0(_14087, _14254, _14417)), aLowerBoundOfIn0(_14002, _14171, _14336), _14002 = _14087, _14171 = _14254, _14336 = _14417], theory(equality)).
% 0.38/1.41 cnf(6, plain, [-(aSubsetOf0(_15423, _15554)), aSubsetOf0(_15356, _15489), _15356 = _15423, _15489 = _15554], theory(equality)).
% 0.38/1.41 cnf(7, plain, [aSet0(_19602), aElementOf0(_19689, _19602), -(aElement0(_19689))], clausify(mEOfElem)).
% 0.38/1.41 cnf(8, plain, [aElement0(_21611), aElement0(_21550), -(_21550 = _21611), sdtlseqdt0(_21550, _21611), sdtlseqdt0(_21611, _21550)], clausify(mASymm)).
% 0.38/1.41 cnf(9, plain, [aSet0(_22743), aSubsetOf0(_22860, _22743), aLowerBoundOfIn0(_22992, _22860, _22743), -(aElementOf0(_22992, _22743))], clausify(mDefLB)).
% 0.38/1.41 cnf(10, plain, [aSet0(_24383), aSubsetOf0(_24508, _24383), aInfimumOfIn0(_24648, _24508, _24383), -(aElementOf0(_24648, _24383))], clausify(mDefInf)).
% 0.38/1.41 cnf(11, plain, [aSet0(_24383), aSubsetOf0(_24508, _24383), aInfimumOfIn0(_24648, _24508, _24383), -(aLowerBoundOfIn0(_24648, _24508, _24383))], clausify(mDefInf)).
% 0.38/1.41 cnf(12, plain, [aSet0(_24383), aSubsetOf0(_24508, _24383), aInfimumOfIn0(_24648, _24508, _24383), aLowerBoundOfIn0(_24979, _24508, _24383), -(sdtlseqdt0(_24979, _24648))], clausify(mDefInf)).
% 0.38/1.41 cnf(13, plain, [-(aSet0(xT))], clausify(m__773)).
% 0.38/1.41 cnf(14, plain, [-(aSubsetOf0(xS, xT))], clausify(m__773_01)).
% 0.38/1.41 cnf(15, plain, [-(aInfimumOfIn0(xu, xS, xT))], clausify(m__792)).
% 0.38/1.41 cnf(16, plain, [-(aInfimumOfIn0(xv, xS, xT))], clausify(m__792)).
% 0.38/1.41
% 0.38/1.41 cnf('1',plain,[xu = xv],start(1)).
% 0.38/1.41 cnf('1.1',plain,[-(xu = xv), aElement0(xv), aElement0(xu), sdtlseqdt0(xu, xv), sdtlseqdt0(xv, xu)],extension(8,bind([[_21611, _21550], [xv, xu]]))).
% 0.38/1.41 cnf('1.1.1',plain,[-(aElement0(xv)), aSet0(xT), aElementOf0(xv, xT)],extension(7,bind([[_19689, _19602], [xv, xT]]))).
% 0.38/1.41 cnf('1.1.1.1',plain,[-(aSet0(xT))],extension(13)).
% 0.38/1.41 cnf('1.1.1.2',plain,[-(aElementOf0(xv, xT)), aSet0(xT), aSubsetOf0(xS, xT), aLowerBoundOfIn0(xv, xS, xT)],extension(9,bind([[_22992, _22860, _22743], [xv, xS, xT]]))).
% 0.38/1.41 cnf('1.1.1.2.1',plain,[-(aSet0(xT))],extension(13)).
% 0.38/1.41 cnf('1.1.1.2.2',plain,[-(aSubsetOf0(xS, xT))],extension(14)).
% 0.38/1.42 cnf('1.1.1.2.3',plain,[-(aLowerBoundOfIn0(xv, xS, xT)), aSet0(xT), aSubsetOf0(xS, xT), aInfimumOfIn0(xv, xS, xT)],extension(11,bind([[_24648, _24508, _24383], [xv, xS, xT]]))).
% 0.38/1.42 cnf('1.1.1.2.3.1',plain,[-(aSet0(xT))],extension(13)).
% 0.38/1.42 cnf('1.1.1.2.3.2',plain,[-(aSubsetOf0(xS, xT))],extension(14)).
% 0.38/1.42 cnf('1.1.1.2.3.3',plain,[-(aInfimumOfIn0(xv, xS, xT))],extension(16)).
% 0.38/1.42 cnf('1.1.2',plain,[-(aElement0(xu)), aSet0(xT), aElementOf0(xu, xT)],extension(7,bind([[_19689, _19602], [xu, xT]]))).
% 0.38/1.42 cnf('1.1.2.1',plain,[-(aSet0(xT))],extension(13)).
% 0.38/1.42 cnf('1.1.2.2',plain,[-(aElementOf0(xu, xT)), aElementOf0(xu, xT), xu = xu, xT = xT],extension(3,bind([[_12353, _12420, _12486, _12551], [xu, xu, xT, xT]]))).
% 0.38/1.42 cnf('1.1.2.2.1',plain,[-(aElementOf0(xu, xT)), aSet0(xT), aSubsetOf0(xS, xT), aInfimumOfIn0(xu, xS, xT)],extension(10,bind([[_24648, _24508, _24383], [xu, xS, xT]]))).
% 0.38/1.42 cnf('1.1.2.2.1.1',plain,[-(aSet0(xT))],extension(13)).
% 0.38/1.42 cnf('1.1.2.2.1.2',plain,[-(aSubsetOf0(xS, xT))],extension(14)).
% 0.38/1.42 cnf('1.1.2.2.1.3',plain,[-(aInfimumOfIn0(xu, xS, xT))],extension(15)).
% 0.38/1.42 cnf('1.1.2.2.2',plain,[-(xu = xu)],extension(2,bind([[_11116], [xu]]))).
% 0.38/1.42 cnf('1.1.2.2.3',plain,[-(xT = xT)],extension(2,bind([[_11116], [xT]]))).
% 0.38/1.42 cnf('1.1.3',plain,[-(sdtlseqdt0(xu, xv)), aSet0(xT), aSubsetOf0(xS, xT), aInfimumOfIn0(xv, xS, xT), aLowerBoundOfIn0(xu, xS, xT)],extension(12,bind([[_24648, _24979, _24508, _24383], [xv, xu, xS, xT]]))).
% 0.38/1.42 cnf('1.1.3.1',plain,[-(aSet0(xT))],extension(13)).
% 0.38/1.42 cnf('1.1.3.2',plain,[-(aSubsetOf0(xS, xT)), aSubsetOf0(xS, xT), xS = xS, xT = xT],extension(6,bind([[_15356, _15423, _15489, _15554], [xS, xS, xT, xT]]))).
% 0.38/1.42 cnf('1.1.3.2.1',plain,[-(aSubsetOf0(xS, xT))],extension(14)).
% 0.38/1.42 cnf('1.1.3.2.2',plain,[-(xS = xS)],extension(2,bind([[_11116], [xS]]))).
% 0.38/1.42 cnf('1.1.3.2.3',plain,[-(xT = xT)],extension(2,bind([[_11116], [xT]]))).
% 0.38/1.42 cnf('1.1.3.3',plain,[-(aInfimumOfIn0(xv, xS, xT))],extension(16)).
% 0.38/1.42 cnf('1.1.3.4',plain,[-(aLowerBoundOfIn0(xu, xS, xT)), aLowerBoundOfIn0(xu, xS, xT), xu = xu, xS = xS, xT = xT],extension(5,bind([[_14002, _14087, _14171, _14254, _14336, _14417], [xu, xu, xS, xS, xT, xT]]))).
% 0.38/1.42 cnf('1.1.3.4.1',plain,[-(aLowerBoundOfIn0(xu, xS, xT)), aSet0(xT), aSubsetOf0(xS, xT), aInfimumOfIn0(xu, xS, xT)],extension(11,bind([[_24648, _24508, _24383], [xu, xS, xT]]))).
% 0.38/1.42 cnf('1.1.3.4.1.1',plain,[-(aSet0(xT))],extension(13)).
% 0.38/1.42 cnf('1.1.3.4.1.2',plain,[-(aSubsetOf0(xS, xT))],extension(14)).
% 0.38/1.42 cnf('1.1.3.4.1.3',plain,[-(aInfimumOfIn0(xu, xS, xT))],extension(15)).
% 0.38/1.42 cnf('1.1.3.4.2',plain,[-(xu = xu)],extension(2,bind([[_11116], [xu]]))).
% 0.38/1.42 cnf('1.1.3.4.3',plain,[-(xS = xS)],extension(2,bind([[_11116], [xS]]))).
% 0.38/1.42 cnf('1.1.3.4.4',plain,[-(xT = xT)],extension(2,bind([[_11116], [xT]]))).
% 0.38/1.42 cnf('1.1.4',plain,[-(sdtlseqdt0(xv, xu)), aSet0(xT), aSubsetOf0(xS, xT), aInfimumOfIn0(xu, xS, xT), aLowerBoundOfIn0(xv, xS, xT)],extension(12,bind([[_24648, _24979, _24508, _24383], [xu, xv, xS, xT]]))).
% 0.38/1.42 cnf('1.1.4.1',plain,[-(aSet0(xT))],extension(13)).
% 0.38/1.42 cnf('1.1.4.2',plain,[-(aSubsetOf0(xS, xT)), aSubsetOf0(xS, xT), xS = xS, xT = xT],extension(6,bind([[_15356, _15423, _15489, _15554], [xS, xS, xT, xT]]))).
% 0.38/1.42 cnf('1.1.4.2.1',plain,[-(aSubsetOf0(xS, xT))],extension(14)).
% 0.38/1.42 cnf('1.1.4.2.2',plain,[-(xS = xS)],extension(2,bind([[_11116], [xS]]))).
% 0.38/1.42 cnf('1.1.4.2.3',plain,[-(xT = xT)],extension(2,bind([[_11116], [xT]]))).
% 0.38/1.42 cnf('1.1.4.3',plain,[-(aInfimumOfIn0(xu, xS, xT)), aInfimumOfIn0(xu, xS, xT), xu = xu, xS = xS, xT = xT],extension(4,bind([[_12977, _13062, _13146, _13229, _13311, _13392], [xu, xu, xS, xS, xT, xT]]))).
% 0.38/1.42 cnf('1.1.4.3.1',plain,[-(aInfimumOfIn0(xu, xS, xT))],extension(15)).
% 0.38/1.42 cnf('1.1.4.3.2',plain,[-(xu = xu)],extension(2,bind([[_11116], [xu]]))).
% 0.38/1.42 cnf('1.1.4.3.3',plain,[-(xS = xS)],extension(2,bind([[_11116], [xS]]))).
% 0.38/1.42 cnf('1.1.4.3.4',plain,[-(xT = xT)],extension(2,bind([[_11116], [xT]]))).
% 0.38/1.42 cnf('1.1.4.4',plain,[-(aLowerBoundOfIn0(xv, xS, xT)), aSet0(xT), aSubsetOf0(xS, xT), aInfimumOfIn0(xv, xS, xT)],extension(11,bind([[_24648, _24508, _24383], [xv, xS, xT]]))).
% 0.38/1.42 cnf('1.1.4.4.1',plain,[-(aSet0(xT))],extension(13)).
% 0.38/1.42 cnf('1.1.4.4.2',plain,[-(aSubsetOf0(xS, xT))],extension(14)).
% 0.38/1.42 cnf('1.1.4.4.3',plain,[-(aInfimumOfIn0(xv, xS, xT))],extension(16)).
% 0.38/1.42 %-----------------------------------------------------
% 0.38/1.42
% 0.38/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------