TSTP Solution File: NUM624+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM624+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 11:42:38 EDT 2022
% Result : Theorem 113.76s 110.85s
% Output : Proof 113.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM624+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n023.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 : Thu Jul 7 01:36:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 113.76/110.85 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.76/110.86 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.76/110.86
% 113.76/110.86 %-----------------------------------------------------
% 113.76/110.86 fof(m__, conjecture, xp = xx, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 113.76/110.86 fof(mDefSub, definition, ! [_181958] : (aSet0(_181958) => ! [_181973] : (aSubsetOf0(_181973, _181958) <=> aSet0(_181973) & ! [_181998] : (aElementOf0(_181998, _181973) => aElementOf0(_181998, _181958)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefSub)).
% 113.76/110.86 fof(mNATSet, axiom, aSet0(szNzAzT0) & isCountable0(szNzAzT0), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mNATSet)).
% 113.76/110.86 fof(mLessASymm, axiom, ! [_182321, _182324] : (aElementOf0(_182321, szNzAzT0) & aElementOf0(_182324, szNzAzT0) => sdtlseqdt0(_182321, _182324) & sdtlseqdt0(_182324, _182321) => _182321 = _182324), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mLessASymm)).
% 113.76/110.86 fof(mDefMin, definition, ! [_182561] : (aSubsetOf0(_182561, szNzAzT0) & (! _182561) = slcrc0 => ! [_182587] : (_182587 = szmzizndt0(_182561) <=> aElementOf0(_182587, _182561) & ! [_182615] : (aElementOf0(_182615, _182561) => sdtlseqdt0(_182587, _182615)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefMin)).
% 113.76/110.86 fof(m__5093, hypothesis, aSubsetOf0(xQ, xO) & (! xQ) = slcrc0, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__5093)).
% 113.76/110.86 fof(m__5106, hypothesis, aSubsetOf0(xQ, szNzAzT0), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__5106)).
% 113.76/110.86 fof(m__5147, hypothesis, xp = szmzizndt0(xQ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__5147)).
% 113.76/110.86 fof(m__5173, hypothesis, aElementOf0(xp, xQ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__5173)).
% 113.76/110.86 fof(m__5401, hypothesis, xx = szmzizndt0(sdtlpdtrp0(xN, xm)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__5401)).
% 113.76/110.86 fof(m__5481, hypothesis, aElementOf0(xp, sdtlpdtrp0(xN, xm)) & aElementOf0(xx, xQ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__5481)).
% 113.76/110.86 fof(m__5518, hypothesis, aSubsetOf0(xQ, szNzAzT0) & aSubsetOf0(sdtlpdtrp0(xN, xm), szNzAzT0) & (! xQ) = slcrc0 & (! sdtlpdtrp0(xN, xm)) = slcrc0, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__5518)).
% 113.76/110.86
% 113.76/110.86 cnf(1, plain, [xp = xx], clausify(m__)).
% 113.76/110.86 cnf(2, plain, [aSet0(_73530), aSubsetOf0(_73634, _73530), aElementOf0(_73791, _73634), -(aElementOf0(_73791, _73530))], clausify(mDefSub)).
% 113.76/110.86 cnf(3, plain, [-(aSet0(szNzAzT0))], clausify(mNATSet)).
% 113.76/110.86 cnf(4, plain, [aElementOf0(_84696, szNzAzT0), aElementOf0(_84633, szNzAzT0), -(_84633 = _84696), sdtlseqdt0(_84633, _84696), sdtlseqdt0(_84696, _84633)], clausify(mLessASymm)).
% 113.76/110.86 cnf(5, plain, [-(_90393 = slcrc0), aSubsetOf0(_90393, szNzAzT0), _90620 = szmzizndt0(_90393), aElementOf0(_90817, _90393), -(sdtlseqdt0(_90620, _90817))], clausify(mDefMin)).
% 113.76/110.86 cnf(6, plain, [xQ = slcrc0], clausify(m__5093)).
% 113.76/110.86 cnf(7, plain, [-(aSubsetOf0(xQ, szNzAzT0))], clausify(m__5106)).
% 113.76/110.86 cnf(8, plain, [-(xp = szmzizndt0(xQ))], clausify(m__5147)).
% 113.76/110.86 cnf(9, plain, [-(aElementOf0(xp, xQ))], clausify(m__5173)).
% 113.76/110.86 cnf(10, plain, [-(xx = szmzizndt0(sdtlpdtrp0(xN, xm)))], clausify(m__5401)).
% 113.76/110.86 cnf(11, plain, [-(aElementOf0(xp, sdtlpdtrp0(xN, xm)))], clausify(m__5481)).
% 113.76/110.86 cnf(12, plain, [-(aElementOf0(xx, xQ))], clausify(m__5481)).
% 113.76/110.86 cnf(13, plain, [-(aSubsetOf0(sdtlpdtrp0(xN, xm), szNzAzT0))], clausify(m__5518)).
% 113.76/110.86 cnf(14, plain, [sdtlpdtrp0(xN, xm) = slcrc0], clausify(m__5518)).
% 113.76/110.86
% 113.76/110.86 cnf('1',plain,[xp = xx],start(1)).
% 113.76/110.86 cnf('1.1',plain,[-(xp = xx), aElementOf0(xx, szNzAzT0), aElementOf0(xp, szNzAzT0), sdtlseqdt0(xp, xx), sdtlseqdt0(xx, xp)],extension(4,bind([[_84696, _84633], [xx, xp]]))).
% 113.76/110.86 cnf('1.1.1',plain,[-(aElementOf0(xx, szNzAzT0)), aSet0(szNzAzT0), aSubsetOf0(xQ, szNzAzT0), aElementOf0(xx, xQ)],extension(2,bind([[_73530, _73791, _73634], [szNzAzT0, xx, xQ]]))).
% 113.76/110.86 cnf('1.1.1.1',plain,[-(aSet0(szNzAzT0))],extension(3)).
% 113.76/110.86 cnf('1.1.1.2',plain,[-(aSubsetOf0(xQ, szNzAzT0))],extension(7)).
% 113.76/110.86 cnf('1.1.1.3',plain,[-(aElementOf0(xx, xQ))],extension(12)).
% 113.76/110.86 cnf('1.1.2',plain,[-(aElementOf0(xp, szNzAzT0)), aSet0(szNzAzT0), aSubsetOf0(xQ, szNzAzT0), aElementOf0(xp, xQ)],extension(2,bind([[_73530, _73791, _73634], [szNzAzT0, xp, xQ]]))).
% 113.76/110.86 cnf('1.1.2.1',plain,[-(aSet0(szNzAzT0))],extension(3)).
% 113.76/110.86 cnf('1.1.2.2',plain,[-(aSubsetOf0(xQ, szNzAzT0))],extension(7)).
% 113.76/110.86 cnf('1.1.2.3',plain,[-(aElementOf0(xp, xQ))],extension(9)).
% 113.76/110.86 cnf('1.1.3',plain,[-(sdtlseqdt0(xp, xx)), -(xQ = slcrc0), aSubsetOf0(xQ, szNzAzT0), xp = szmzizndt0(xQ), aElementOf0(xx, xQ)],extension(5,bind([[_90620, _90817, _90393], [xp, xx, xQ]]))).
% 113.76/110.86 cnf('1.1.3.1',plain,[xQ = slcrc0],extension(6)).
% 113.76/110.86 cnf('1.1.3.2',plain,[-(aSubsetOf0(xQ, szNzAzT0))],extension(7)).
% 113.76/110.86 cnf('1.1.3.3',plain,[-(xp = szmzizndt0(xQ))],extension(8)).
% 113.76/110.86 cnf('1.1.3.4',plain,[-(aElementOf0(xx, xQ))],extension(12)).
% 113.76/110.86 cnf('1.1.4',plain,[-(sdtlseqdt0(xx, xp)), -(sdtlpdtrp0(xN, xm) = slcrc0), aSubsetOf0(sdtlpdtrp0(xN, xm), szNzAzT0), xx = szmzizndt0(sdtlpdtrp0(xN, xm)), aElementOf0(xp, sdtlpdtrp0(xN, xm))],extension(5,bind([[_90620, _90817, _90393], [xx, xp, sdtlpdtrp0(xN, xm)]]))).
% 113.76/110.86 cnf('1.1.4.1',plain,[sdtlpdtrp0(xN, xm) = slcrc0],extension(14)).
% 113.76/110.86 cnf('1.1.4.2',plain,[-(aSubsetOf0(sdtlpdtrp0(xN, xm), szNzAzT0))],extension(13)).
% 113.76/110.86 cnf('1.1.4.3',plain,[-(xx = szmzizndt0(sdtlpdtrp0(xN, xm)))],extension(10)).
% 113.76/110.86 cnf('1.1.4.4',plain,[-(aElementOf0(xp, sdtlpdtrp0(xN, xm)))],extension(11)).
% 113.76/110.86 %-----------------------------------------------------
% 113.76/110.87
% 113.76/110.87 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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