TSTP Solution File: NUM541+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM541+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 11:41:51 EDT 2022
% Result : Theorem 114.43s 110.89s
% Output : Proof 114.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM541+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n005.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 : Fri Jul 8 01:04:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 114.43/110.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 114.43/110.89 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 114.43/110.90
% 114.43/110.90 %-----------------------------------------------------
% 114.43/110.90 fof(m__, conjecture, (sdtlseqdt0(szszuzczcdt0(xm), szszuzczcdt0(xn)) & aElementOf0(xm, slbdtrb0(szszuzczcdt0(xn))) => sdtlseqdt0(szszuzczcdt0(xm), xn) | aElementOf0(xm, slbdtrb0(xn)) | xm = xn) & (sdtlseqdt0(szszuzczcdt0(xm), xn) & aElementOf0(xm, slbdtrb0(xn)) | xm = xn => sdtlseqdt0(szszuzczcdt0(xm), szszuzczcdt0(xn)) | aElementOf0(xm, slbdtrb0(szszuzczcdt0(xn)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 114.43/110.90 fof(mSuccNum, axiom, ! [_92738] : (aElementOf0(_92738, szNzAzT0) => aElementOf0(szszuzczcdt0(_92738), szNzAzT0) & (! szszuzczcdt0(_92738)) = sz00), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSuccNum)).
% 114.43/110.90 fof(mSuccLess, axiom, ! [_92929, _92932] : (aElementOf0(_92929, szNzAzT0) & aElementOf0(_92932, szNzAzT0) => (sdtlseqdt0(_92929, _92932) <=> sdtlseqdt0(szszuzczcdt0(_92929), szszuzczcdt0(_92932)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSuccLess)).
% 114.43/110.90 fof(mLessSucc, axiom, ! [_93161] : (aElementOf0(_93161, szNzAzT0) => sdtlseqdt0(_93161, szszuzczcdt0(_93161))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mLessSucc)).
% 114.43/110.90 fof(mLessRefl, axiom, ! [_93305] : (aElementOf0(_93305, szNzAzT0) => sdtlseqdt0(_93305, _93305)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mLessRefl)).
% 114.43/110.90 fof(mLessASymm, axiom, ! [_93440, _93443] : (aElementOf0(_93440, szNzAzT0) & aElementOf0(_93443, szNzAzT0) => sdtlseqdt0(_93440, _93443) & sdtlseqdt0(_93443, _93440) => _93440 = _93443), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mLessASymm)).
% 114.43/110.90 fof(mLessTrans, axiom, ! [_93666, _93669, _93672] : (aElementOf0(_93666, szNzAzT0) & aElementOf0(_93669, szNzAzT0) & aElementOf0(_93672, szNzAzT0) => sdtlseqdt0(_93666, _93669) & sdtlseqdt0(_93669, _93672) => sdtlseqdt0(_93666, _93672)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mLessTrans)).
% 114.43/110.90 fof(mLessTotal, axiom, ! [_93935, _93938] : (aElementOf0(_93935, szNzAzT0) & aElementOf0(_93938, szNzAzT0) => sdtlseqdt0(_93935, _93938) | sdtlseqdt0(szszuzczcdt0(_93938), _93935)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mLessTotal)).
% 114.43/110.90 fof(m__1936, hypothesis, aElementOf0(xm, szNzAzT0) & aElementOf0(xn, szNzAzT0), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1936)).
% 114.43/110.90
% 114.43/110.90 cnf(1, plain, [-(11 ^ []), -(sdtlseqdt0(szszuzczcdt0(xm), xn))], clausify(m__)).
% 114.43/110.90 cnf(2, plain, [-(12 ^ []), 11 ^ [], -(xm = xn)], clausify(m__)).
% 114.43/110.90 cnf(3, plain, [-(12 ^ []), sdtlseqdt0(szszuzczcdt0(xm), szszuzczcdt0(xn))], clausify(m__)).
% 114.43/110.90 cnf(4, plain, [-(10 ^ []), xm = xn], clausify(m__)).
% 114.43/110.90 cnf(5, plain, [-(10 ^ []), sdtlseqdt0(szszuzczcdt0(xm), xn)], clausify(m__)).
% 114.43/110.90 cnf(6, plain, [-(10 ^ []), -(sdtlseqdt0(szszuzczcdt0(xm), szszuzczcdt0(xn)))], clausify(m__)).
% 114.43/110.90 cnf(7, plain, [10 ^ [], 12 ^ []], clausify(m__)).
% 114.43/110.90 cnf(8, plain, [-(_27446 = _27446)], theory(equality)).
% 114.43/110.90 cnf(9, plain, [_27599 = _27644, -(_27644 = _27599)], theory(equality)).
% 114.43/110.90 cnf(10, plain, [-(sdtlseqdt0(_31599, _31730)), sdtlseqdt0(_31532, _31665), _31532 = _31599, _31665 = _31730], theory(equality)).
% 114.43/110.90 cnf(11, plain, [aElementOf0(_45093, szNzAzT0), -(aElementOf0(szszuzczcdt0(_45093), szNzAzT0))], clausify(mSuccNum)).
% 114.43/110.90 cnf(12, plain, [aElementOf0(_47865, szNzAzT0), aElementOf0(_47804, szNzAzT0), sdtlseqdt0(_47804, _47865), -(sdtlseqdt0(szszuzczcdt0(_47804), szszuzczcdt0(_47865)))], clausify(mSuccLess)).
% 114.43/110.90 cnf(13, plain, [aElementOf0(_47865, szNzAzT0), aElementOf0(_47804, szNzAzT0), -(sdtlseqdt0(_47804, _47865)), sdtlseqdt0(szszuzczcdt0(_47804), szszuzczcdt0(_47865))], clausify(mSuccLess)).
% 114.43/110.90 cnf(14, plain, [aElementOf0(_48326, szNzAzT0), -(sdtlseqdt0(_48326, szszuzczcdt0(_48326)))], clausify(mLessSucc)).
% 114.43/110.90 cnf(15, plain, [aElementOf0(_48598, szNzAzT0), -(sdtlseqdt0(_48598, _48598))], clausify(mLessRefl)).
% 114.43/110.90 cnf(16, plain, [aElementOf0(_48915, szNzAzT0), aElementOf0(_48852, szNzAzT0), -(_48852 = _48915), sdtlseqdt0(_48852, _48915), sdtlseqdt0(_48915, _48852)], clausify(mLessASymm)).
% 114.43/110.90 cnf(17, plain, [aElementOf0(_49567, szNzAzT0), aElementOf0(_49494, szNzAzT0), aElementOf0(_49420, szNzAzT0), -(sdtlseqdt0(_49420, _49567)), sdtlseqdt0(_49420, _49494), sdtlseqdt0(_49494, _49567)], clausify(mLessTrans)).
% 114.43/110.90 cnf(18, plain, [aElementOf0(_50222, szNzAzT0), aElementOf0(_50163, szNzAzT0), -(sdtlseqdt0(_50163, _50222)), -(sdtlseqdt0(szszuzczcdt0(_50222), _50163))], clausify(mLessTotal)).
% 114.43/110.90 cnf(19, plain, [-(aElementOf0(xm, szNzAzT0))], clausify(m__1936)).
% 114.43/110.90 cnf(20, plain, [-(aElementOf0(xn, szNzAzT0))], clausify(m__1936)).
% 114.43/110.90
% 114.43/110.90 cnf('1',plain,[10 ^ [], 12 ^ []],start(7)).
% 114.43/110.90 cnf('1.1',plain,[-(10 ^ []), xm = xn],extension(4)).
% 114.43/110.90 cnf('1.1.1',plain,[-(xm = xn), xn = xm],extension(9,bind([[_27599, _27644], [xn, xm]]))).
% 114.43/110.90 cnf('1.1.1.1',plain,[-(xn = xm), aElementOf0(xm, szNzAzT0), aElementOf0(xn, szNzAzT0), sdtlseqdt0(xn, xm), sdtlseqdt0(xm, xn)],extension(16,bind([[_48915, _48852], [xm, xn]]))).
% 114.43/110.90 cnf('1.1.1.1.1',plain,[-(aElementOf0(xm, szNzAzT0))],extension(19)).
% 114.43/110.90 cnf('1.1.1.1.2',plain,[-(aElementOf0(xn, szNzAzT0))],extension(20)).
% 114.43/110.90 cnf('1.1.1.1.3',plain,[-(sdtlseqdt0(xn, xm)), aElementOf0(xm, szNzAzT0), aElementOf0(xn, szNzAzT0), -(sdtlseqdt0(szszuzczcdt0(xm), xn))],extension(18,bind([[_50222, _50163], [xm, xn]]))).
% 114.43/110.90 cnf('1.1.1.1.3.1',plain,[-(aElementOf0(xm, szNzAzT0))],extension(19)).
% 114.43/110.90 cnf('1.1.1.1.3.2',plain,[-(aElementOf0(xn, szNzAzT0))],extension(20)).
% 114.43/110.90 cnf('1.1.1.1.3.3',plain,[sdtlseqdt0(szszuzczcdt0(xm), xn), -(10 ^ [])],extension(5)).
% 114.43/110.90 cnf('1.1.1.1.3.3.1',plain,[10 ^ []],reduction('1')).
% 114.43/110.90 cnf('1.1.1.1.4',plain,[-(sdtlseqdt0(xm, xn)), aElementOf0(xn, szNzAzT0), aElementOf0(xm, szNzAzT0), sdtlseqdt0(szszuzczcdt0(xm), szszuzczcdt0(xn))],extension(13,bind([[_47804, _47865], [xm, xn]]))).
% 114.43/110.90 cnf('1.1.1.1.4.1',plain,[-(aElementOf0(xn, szNzAzT0))],extension(20)).
% 114.43/110.90 cnf('1.1.1.1.4.2',plain,[-(aElementOf0(xm, szNzAzT0))],extension(19)).
% 114.43/110.90 cnf('1.1.1.1.4.3',plain,[-(sdtlseqdt0(szszuzczcdt0(xm), szszuzczcdt0(xn))), -(10 ^ [])],extension(6)).
% 114.43/110.90 cnf('1.1.1.1.4.3.1',plain,[10 ^ []],reduction('1')).
% 114.43/110.90 cnf('1.2',plain,[-(12 ^ []), 11 ^ [], -(xm = xn)],extension(2)).
% 114.43/110.90 cnf('1.2.1',plain,[-(11 ^ []), -(sdtlseqdt0(szszuzczcdt0(xm), xn))],extension(1)).
% 114.43/110.90 cnf('1.2.1.1',plain,[sdtlseqdt0(szszuzczcdt0(xm), xn), aElementOf0(szszuzczcdt0(xn), szNzAzT0), aElementOf0(xn, szNzAzT0), aElementOf0(szszuzczcdt0(xm), szNzAzT0), -(sdtlseqdt0(szszuzczcdt0(xm), szszuzczcdt0(xn))), sdtlseqdt0(xn, szszuzczcdt0(xn))],extension(17,bind([[_49420, _49494, _49567], [szszuzczcdt0(xm), xn, szszuzczcdt0(xn)]]))).
% 114.43/110.90 cnf('1.2.1.1.1',plain,[-(aElementOf0(szszuzczcdt0(xn), szNzAzT0)), aElementOf0(xn, szNzAzT0)],extension(11,bind([[_45093], [xn]]))).
% 114.43/110.90 cnf('1.2.1.1.1.1',plain,[-(aElementOf0(xn, szNzAzT0))],extension(20)).
% 114.43/110.90 cnf('1.2.1.1.2',plain,[-(aElementOf0(xn, szNzAzT0))],extension(20)).
% 114.43/110.90 cnf('1.2.1.1.3',plain,[-(aElementOf0(szszuzczcdt0(xm), szNzAzT0)), aElementOf0(xm, szNzAzT0)],extension(11,bind([[_45093], [xm]]))).
% 114.43/110.90 cnf('1.2.1.1.3.1',plain,[-(aElementOf0(xm, szNzAzT0))],extension(19)).
% 114.43/110.90 cnf('1.2.1.1.4',plain,[sdtlseqdt0(szszuzczcdt0(xm), szszuzczcdt0(xn)), -(12 ^ [])],extension(3)).
% 114.43/110.90 cnf('1.2.1.1.4.1',plain,[12 ^ []],reduction('1')).
% 114.43/110.90 cnf('1.2.1.1.5',plain,[-(sdtlseqdt0(xn, szszuzczcdt0(xn))), aElementOf0(xn, szNzAzT0)],extension(14,bind([[_48326], [xn]]))).
% 114.43/110.90 cnf('1.2.1.1.5.1',plain,[-(aElementOf0(xn, szNzAzT0))],extension(20)).
% 114.43/110.90 cnf('1.2.2',plain,[xm = xn, -(xn = xm)],extension(9,bind([[_27644, _27599], [xn, xm]]))).
% 114.43/110.90 cnf('1.2.2.1',plain,[xn = xm, -(sdtlseqdt0(xm, xn)), sdtlseqdt0(xn, xn), xn = xn],extension(10,bind([[_31599, _31532, _31665, _31730], [xm, xn, xn, xn]]))).
% 114.43/110.90 cnf('1.2.2.1.1',plain,[sdtlseqdt0(xm, xn), aElementOf0(xn, szNzAzT0), aElementOf0(xm, szNzAzT0), -(sdtlseqdt0(szszuzczcdt0(xm), szszuzczcdt0(xn)))],extension(12,bind([[_47804, _47865], [xm, xn]]))).
% 114.43/110.90 cnf('1.2.2.1.1.1',plain,[-(aElementOf0(xn, szNzAzT0))],extension(20)).
% 114.43/110.90 cnf('1.2.2.1.1.2',plain,[-(aElementOf0(xm, szNzAzT0))],extension(19)).
% 114.43/110.90 cnf('1.2.2.1.1.3',plain,[sdtlseqdt0(szszuzczcdt0(xm), szszuzczcdt0(xn)), -(12 ^ [])],extension(3)).
% 114.43/110.90 cnf('1.2.2.1.1.3.1',plain,[12 ^ []],reduction('1')).
% 114.43/110.90 cnf('1.2.2.1.2',plain,[-(sdtlseqdt0(xn, xn)), aElementOf0(xn, szNzAzT0)],extension(15,bind([[_48598], [xn]]))).
% 114.43/110.90 cnf('1.2.2.1.2.1',plain,[-(aElementOf0(xn, szNzAzT0))],extension(20)).
% 114.43/110.90 cnf('1.2.2.1.3',plain,[-(xn = xn)],extension(8,bind([[_27446], [xn]]))).
% 114.43/110.90 %-----------------------------------------------------
% 114.50/110.90
% 114.50/110.90 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------