TSTP Solution File: LAT381+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LAT381+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n009.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 0.32s 1.40s
% Output : Proof 0.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT381+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 19:54:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.32/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/1.42
% 0.32/1.42 %-----------------------------------------------------
% 0.32/1.42 fof(m__, conjecture, xu = xv, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 0.32/1.42 fof(mEOfElem, axiom, ! [_51357] : (aSet0(_51357) => ! [_51372] : (aElementOf0(_51372, _51357) => aElement0(_51372))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEOfElem)).
% 0.32/1.42 fof(mASymm, axiom, ! [_51543, _51546] : (aElement0(_51543) & aElement0(_51546) => sdtlseqdt0(_51543, _51546) & sdtlseqdt0(_51546, _51543) => _51543 = _51546), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mASymm)).
% 0.32/1.42 fof(mDefUB, definition, ! [_51760] : (aSet0(_51760) => ! [_51775] : (aSubsetOf0(_51775, _51760) => ! [_51793] : (aUpperBoundOfIn0(_51793, _51775, _51760) <=> aElementOf0(_51793, _51760) & ! [_51824] : (aElementOf0(_51824, _51775) => sdtlseqdt0(_51824, _51793))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefUB)).
% 0.32/1.42 fof(m__725, hypothesis, aSet0(xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__725)).
% 0.32/1.42 fof(m__725_01, hypothesis, aSubsetOf0(xS, xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__725_01)).
% 0.32/1.42 fof(m__744, hypothesis, aSupremumOfIn0(xu, xS, xT) & aSupremumOfIn0(xv, xS, xT), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__744)).
% 0.32/1.42 fof(mDefSup, definition, ! [_52280] : (aSet0(_52280) => ! [_52295] : (aSubsetOf0(_52295, _52280) => ! [_52313] : (aSupremumOfIn0(_52313, _52295, _52280) <=> aElementOf0(_52313, _52280) & aUpperBoundOfIn0(_52313, _52295, _52280) & ! [_52357] : (aUpperBoundOfIn0(_52357, _52295, _52280) => sdtlseqdt0(_52313, _52357))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefSup)).
% 0.32/1.42
% 0.32/1.42 cnf(1, plain, [xu = xv], clausify(m__)).
% 0.32/1.42 cnf(2, plain, [-(_10465 = _10465)], theory(equality)).
% 0.32/1.42 cnf(3, plain, [-(aElementOf0(_11769, _11900)), aElementOf0(_11702, _11835), _11702 = _11769, _11835 = _11900], theory(equality)).
% 0.32/1.42 cnf(4, plain, [-(aSubsetOf0(_14772, _14903)), aSubsetOf0(_14705, _14838), _14705 = _14772, _14838 = _14903], theory(equality)).
% 0.32/1.42 cnf(5, plain, [-(aSupremumOfIn0(_15414, _15581, _15744)), aSupremumOfIn0(_15329, _15498, _15663), _15329 = _15414, _15498 = _15581, _15663 = _15744], theory(equality)).
% 0.32/1.42 cnf(6, plain, [-(aUpperBoundOfIn0(_16439, _16606, _16769)), aUpperBoundOfIn0(_16354, _16523, _16688), _16354 = _16439, _16523 = _16606, _16688 = _16769], theory(equality)).
% 0.32/1.42 cnf(7, plain, [aSet0(_18951), aElementOf0(_19038, _18951), -(aElement0(_19038))], clausify(mEOfElem)).
% 0.32/1.42 cnf(8, plain, [aElement0(_20960), aElement0(_20899), -(_20899 = _20960), sdtlseqdt0(_20899, _20960), sdtlseqdt0(_20960, _20899)], clausify(mASymm)).
% 0.32/1.42 cnf(9, plain, [aSet0(_22912), aSubsetOf0(_23029, _22912), aUpperBoundOfIn0(_23161, _23029, _22912), -(aElementOf0(_23161, _22912))], clausify(mDefUB)).
% 0.32/1.42 cnf(10, plain, [-(aSet0(xT))], clausify(m__725)).
% 0.32/1.42 cnf(11, plain, [-(aSubsetOf0(xS, xT))], clausify(m__725_01)).
% 0.32/1.42 cnf(12, plain, [-(aSupremumOfIn0(xu, xS, xT))], clausify(m__744)).
% 0.32/1.42 cnf(13, plain, [-(aSupremumOfIn0(xv, xS, xT))], clausify(m__744)).
% 0.32/1.42 cnf(14, plain, [aSet0(_24731), aSubsetOf0(_24856, _24731), aSupremumOfIn0(_24996, _24856, _24731), -(aElementOf0(_24996, _24731))], clausify(mDefSup)).
% 0.32/1.42 cnf(15, plain, [aSet0(_24731), aSubsetOf0(_24856, _24731), aSupremumOfIn0(_24996, _24856, _24731), -(aUpperBoundOfIn0(_24996, _24856, _24731))], clausify(mDefSup)).
% 0.32/1.42 cnf(16, plain, [aSet0(_24731), aSubsetOf0(_24856, _24731), aSupremumOfIn0(_24996, _24856, _24731), aUpperBoundOfIn0(_25327, _24856, _24731), -(sdtlseqdt0(_24996, _25327))], clausify(mDefSup)).
% 0.32/1.42
% 0.32/1.42 cnf('1',plain,[xu = xv],start(1)).
% 0.32/1.42 cnf('1.1',plain,[-(xu = xv), aElement0(xv), aElement0(xu), sdtlseqdt0(xu, xv), sdtlseqdt0(xv, xu)],extension(8,bind([[_20960, _20899], [xv, xu]]))).
% 0.32/1.42 cnf('1.1.1',plain,[-(aElement0(xv)), aSet0(xT), aElementOf0(xv, xT)],extension(7,bind([[_19038, _18951], [xv, xT]]))).
% 0.32/1.42 cnf('1.1.1.1',plain,[-(aSet0(xT))],extension(10)).
% 0.32/1.42 cnf('1.1.1.2',plain,[-(aElementOf0(xv, xT)), aSet0(xT), aSubsetOf0(xS, xT), aUpperBoundOfIn0(xv, xS, xT)],extension(9,bind([[_23161, _23029, _22912], [xv, xS, xT]]))).
% 0.32/1.42 cnf('1.1.1.2.1',plain,[-(aSet0(xT))],extension(10)).
% 0.32/1.42 cnf('1.1.1.2.2',plain,[-(aSubsetOf0(xS, xT))],extension(11)).
% 0.32/1.42 cnf('1.1.1.2.3',plain,[-(aUpperBoundOfIn0(xv, xS, xT)), aSet0(xT), aSubsetOf0(xS, xT), aSupremumOfIn0(xv, xS, xT)],extension(15,bind([[_24996, _24856, _24731], [xv, xS, xT]]))).
% 0.32/1.42 cnf('1.1.1.2.3.1',plain,[-(aSet0(xT))],extension(10)).
% 0.32/1.42 cnf('1.1.1.2.3.2',plain,[-(aSubsetOf0(xS, xT))],extension(11)).
% 0.32/1.42 cnf('1.1.1.2.3.3',plain,[-(aSupremumOfIn0(xv, xS, xT))],extension(13)).
% 0.32/1.42 cnf('1.1.2',plain,[-(aElement0(xu)), aSet0(xT), aElementOf0(xu, xT)],extension(7,bind([[_19038, _18951], [xu, xT]]))).
% 0.32/1.42 cnf('1.1.2.1',plain,[-(aSet0(xT))],extension(10)).
% 0.32/1.42 cnf('1.1.2.2',plain,[-(aElementOf0(xu, xT)), aElementOf0(xu, xT), xu = xu, xT = xT],extension(3,bind([[_11702, _11769, _11835, _11900], [xu, xu, xT, xT]]))).
% 0.32/1.42 cnf('1.1.2.2.1',plain,[-(aElementOf0(xu, xT)), aSet0(xT), aSubsetOf0(xS, xT), aSupremumOfIn0(xu, xS, xT)],extension(14,bind([[_24996, _24856, _24731], [xu, xS, xT]]))).
% 0.32/1.42 cnf('1.1.2.2.1.1',plain,[-(aSet0(xT))],extension(10)).
% 0.32/1.42 cnf('1.1.2.2.1.2',plain,[-(aSubsetOf0(xS, xT))],extension(11)).
% 0.32/1.42 cnf('1.1.2.2.1.3',plain,[-(aSupremumOfIn0(xu, xS, xT))],extension(12)).
% 0.32/1.42 cnf('1.1.2.2.2',plain,[-(xu = xu)],extension(2,bind([[_10465], [xu]]))).
% 0.32/1.42 cnf('1.1.2.2.3',plain,[-(xT = xT)],extension(2,bind([[_10465], [xT]]))).
% 0.32/1.42 cnf('1.1.3',plain,[-(sdtlseqdt0(xu, xv)), aSet0(xT), aSubsetOf0(xS, xT), aSupremumOfIn0(xu, xS, xT), aUpperBoundOfIn0(xv, xS, xT)],extension(16,bind([[_24996, _25327, _24856, _24731], [xu, xv, xS, xT]]))).
% 0.32/1.42 cnf('1.1.3.1',plain,[-(aSet0(xT))],extension(10)).
% 0.32/1.42 cnf('1.1.3.2',plain,[-(aSubsetOf0(xS, xT)), aSubsetOf0(xS, xT), xS = xS, xT = xT],extension(4,bind([[_14705, _14772, _14838, _14903], [xS, xS, xT, xT]]))).
% 0.32/1.42 cnf('1.1.3.2.1',plain,[-(aSubsetOf0(xS, xT))],extension(11)).
% 0.32/1.42 cnf('1.1.3.2.2',plain,[-(xS = xS)],extension(2,bind([[_10465], [xS]]))).
% 0.32/1.42 cnf('1.1.3.2.3',plain,[-(xT = xT)],extension(2,bind([[_10465], [xT]]))).
% 0.32/1.42 cnf('1.1.3.3',plain,[-(aSupremumOfIn0(xu, xS, xT)), aSupremumOfIn0(xu, xS, xT), xu = xu, xS = xS, xT = xT],extension(5,bind([[_15329, _15414, _15498, _15581, _15663, _15744], [xu, xu, xS, xS, xT, xT]]))).
% 0.32/1.42 cnf('1.1.3.3.1',plain,[-(aSupremumOfIn0(xu, xS, xT))],extension(12)).
% 0.32/1.42 cnf('1.1.3.3.2',plain,[-(xu = xu)],extension(2,bind([[_10465], [xu]]))).
% 0.32/1.42 cnf('1.1.3.3.3',plain,[-(xS = xS)],extension(2,bind([[_10465], [xS]]))).
% 0.32/1.42 cnf('1.1.3.3.4',plain,[-(xT = xT)],extension(2,bind([[_10465], [xT]]))).
% 0.32/1.42 cnf('1.1.3.4',plain,[-(aUpperBoundOfIn0(xv, xS, xT)), aSet0(xT), aSubsetOf0(xS, xT), aSupremumOfIn0(xv, xS, xT)],extension(15,bind([[_24996, _24856, _24731], [xv, xS, xT]]))).
% 0.32/1.42 cnf('1.1.3.4.1',plain,[-(aSet0(xT))],extension(10)).
% 0.32/1.42 cnf('1.1.3.4.2',plain,[-(aSubsetOf0(xS, xT))],extension(11)).
% 0.32/1.42 cnf('1.1.3.4.3',plain,[-(aSupremumOfIn0(xv, xS, xT))],extension(13)).
% 0.32/1.42 cnf('1.1.4',plain,[-(sdtlseqdt0(xv, xu)), aSet0(xT), aSubsetOf0(xS, xT), aSupremumOfIn0(xv, xS, xT), aUpperBoundOfIn0(xu, xS, xT)],extension(16,bind([[_24996, _25327, _24856, _24731], [xv, xu, xS, xT]]))).
% 0.32/1.42 cnf('1.1.4.1',plain,[-(aSet0(xT))],extension(10)).
% 0.32/1.42 cnf('1.1.4.2',plain,[-(aSubsetOf0(xS, xT)), aSubsetOf0(xS, xT), xS = xS, xT = xT],extension(4,bind([[_14705, _14772, _14838, _14903], [xS, xS, xT, xT]]))).
% 0.32/1.42 cnf('1.1.4.2.1',plain,[-(aSubsetOf0(xS, xT))],extension(11)).
% 0.32/1.42 cnf('1.1.4.2.2',plain,[-(xS = xS)],extension(2,bind([[_10465], [xS]]))).
% 0.32/1.42 cnf('1.1.4.2.3',plain,[-(xT = xT)],extension(2,bind([[_10465], [xT]]))).
% 0.32/1.42 cnf('1.1.4.3',plain,[-(aSupremumOfIn0(xv, xS, xT))],extension(13)).
% 0.32/1.42 cnf('1.1.4.4',plain,[-(aUpperBoundOfIn0(xu, xS, xT)), aUpperBoundOfIn0(xu, xS, xT), xu = xu, xS = xS, xT = xT],extension(6,bind([[_16354, _16439, _16523, _16606, _16688, _16769], [xu, xu, xS, xS, xT, xT]]))).
% 0.32/1.42 cnf('1.1.4.4.1',plain,[-(aUpperBoundOfIn0(xu, xS, xT)), aSet0(xT), aSubsetOf0(xS, xT), aSupremumOfIn0(xu, xS, xT)],extension(15,bind([[_24996, _24856, _24731], [xu, xS, xT]]))).
% 0.32/1.42 cnf('1.1.4.4.1.1',plain,[-(aSet0(xT))],extension(10)).
% 0.32/1.42 cnf('1.1.4.4.1.2',plain,[-(aSubsetOf0(xS, xT))],extension(11)).
% 0.32/1.42 cnf('1.1.4.4.1.3',plain,[-(aSupremumOfIn0(xu, xS, xT))],extension(12)).
% 0.32/1.42 cnf('1.1.4.4.2',plain,[-(xu = xu)],extension(2,bind([[_10465], [xu]]))).
% 0.32/1.42 cnf('1.1.4.4.3',plain,[-(xS = xS)],extension(2,bind([[_10465], [xS]]))).
% 0.32/1.42 cnf('1.1.4.4.4',plain,[-(xT = xT)],extension(2,bind([[_10465], [xT]]))).
% 0.32/1.42 %-----------------------------------------------------
% 0.32/1.42
% 0.32/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------