TSTP Solution File: NUM545+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM545+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n004.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 11:41:53 EDT 2022
% Result : Theorem 252.19s 244.33s
% Output : Proof 252.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM545+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jul 8 00:28:07 EDT 2022
% 0.11/0.33 % CPUTime :
% 252.19/244.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 252.19/244.33 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 252.19/244.34
% 252.19/244.34 %-----------------------------------------------------
% 252.19/244.34 fof(mEOfElem, axiom, ! [_107412] : (aSet0(_107412) => ! [_107427] : (aElementOf0(_107427, _107412) => aElement0(_107427))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEOfElem)).
% 252.19/244.34 fof(mDefDiff, definition, ! [_107597, _107600] : (aSet0(_107597) & aElement0(_107600) => ! [_107622] : (_107622 = sdtmndt0(_107597, _107600) <=> aSet0(_107622) & ! [_107650] : (aElementOf0(_107650, _107622) <=> aElement0(_107650) & aElementOf0(_107650, _107597) & (! _107650) = _107600))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefDiff)).
% 252.19/244.34 fof(m__1986, hypothesis, aSet0(xS) & ! [_107970] : (aElementOf0(_107970, xS) => aElementOf0(_107970, szNzAzT0)) & aSubsetOf0(xS, szNzAzT0) & isFinite0(xS), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1986)).
% 252.19/244.34 fof(mNATSet, axiom, aSet0(szNzAzT0) & isCountable0(szNzAzT0), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mNATSet)).
% 252.19/244.34 fof(m__2035, hypothesis, ~ (~ ? [_108226] : aElementOf0(_108226, xS) & xS = slcrc0) => aElementOf0(szmzazxdt0(xS), xS) & ! [_108226] : (aElementOf0(_108226, xS) => sdtlseqdt0(_108226, szmzazxdt0(xS))) & aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) & ! [_108226] : (aElementOf0(_108226, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) <=> aElementOf0(_108226, szNzAzT0) & sdtlseqdt0(szszuzczcdt0(_108226), szszuzczcdt0(szmzazxdt0(xS)))) & ! [_108226] : (aElementOf0(_108226, xS) => aElementOf0(_108226, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))) & aSubsetOf0(xS, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2035)).
% 252.19/244.34 fof(m__, conjecture, ? [_108897] : (aElementOf0(_108897, szNzAzT0) & (aSet0(slbdtrb0(_108897)) & ! [_108926] : (aElementOf0(_108926, slbdtrb0(_108897)) <=> aElementOf0(_108926, szNzAzT0) & sdtlseqdt0(szszuzczcdt0(_108926), _108897)) => ! [_108926] : (aElementOf0(_108926, xS) => aElementOf0(_108926, slbdtrb0(_108897))) | aSubsetOf0(xS, slbdtrb0(_108897)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 252.19/244.34 fof(mDefSub, definition, ! [_109298] : (aSet0(_109298) => ! [_109313] : (aSubsetOf0(_109313, _109298) <=> aSet0(_109313) & ! [_109338] : (aElementOf0(_109338, _109313) => aElementOf0(_109338, _109298)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefSub)).
% 252.19/244.34 fof(mZeroNum, axiom, aElementOf0(sz00, szNzAzT0), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mZeroNum)).
% 252.19/244.34 fof(mSuccNum, axiom, ! [_109750] : (aElementOf0(_109750, szNzAzT0) => aElementOf0(szszuzczcdt0(_109750), szNzAzT0) & (! szszuzczcdt0(_109750)) = sz00), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSuccNum)).
% 252.19/244.34 fof(mDefEmp, definition, ! [_109969] : (_109969 = slcrc0 <=> aSet0(_109969) & ~ ? [_109992] : aElementOf0(_109992, _109969)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefEmp)).
% 252.19/244.34
% 252.19/244.34 cnf(1, plain, [aSet0(_38899), aElementOf0(_38986, _38899), -(aElement0(_38986))], clausify(mEOfElem)).
% 252.19/244.34 cnf(2, plain, [aElement0(_44359), aSet0(_44267), -(_44541 = sdtmndt0(_44267, _44359)), aSet0(_44541), -(aElementOf0(4 ^ [_44541, _44359, _44267], _44541)), -(aElementOf0(4 ^ [_44541, _44359, _44267], _44267))], clausify(mDefDiff)).
% 252.19/244.34 cnf(3, plain, [-(aSubsetOf0(xS, szNzAzT0))], clausify(m__1986)).
% 252.19/244.34 cnf(4, plain, [-(aSet0(szNzAzT0))], clausify(mNATSet)).
% 252.19/244.34 cnf(5, plain, [-(xS = slcrc0), aElementOf0(_63461, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), -(aElementOf0(_63461, szNzAzT0))], clausify(m__2035)).
% 252.19/244.34 cnf(6, plain, [aElementOf0(_62924, xS), -(aElementOf0(szmzazxdt0(xS), xS))], clausify(m__2035)).
% 252.19/244.34 cnf(7, plain, [aElementOf0(_65139, szNzAzT0), aSubsetOf0(xS, slbdtrb0(_65139))], clausify(m__)).
% 252.19/244.34 cnf(8, plain, [aSet0(_40905), aSubsetOf0(_41009, _40905), -(aSet0(_41009))], clausify(mDefSub)).
% 252.19/244.34 cnf(9, plain, [-(xS = slcrc0), -(aSubsetOf0(xS, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))))], clausify(m__2035)).
% 252.19/244.34 cnf(10, plain, [aElementOf0(_65139, szNzAzT0), -(aElementOf0(10 ^ [_65139], xS))], clausify(m__)).
% 252.19/244.34 cnf(11, plain, [-(aElementOf0(sz00, szNzAzT0))], clausify(mZeroNum)).
% 252.19/244.34 cnf(12, plain, [aSet0(_40905), aSubsetOf0(_41009, _40905), aElementOf0(_41166, _41009), -(aElementOf0(_41166, _40905))], clausify(mDefSub)).
% 252.19/244.34 cnf(13, plain, [-(aSet0(xS))], clausify(m__1986)).
% 252.19/244.34 cnf(14, plain, [-(xS = slcrc0), -(aElementOf0(szmzazxdt0(xS), xS))], clausify(m__2035)).
% 252.19/244.34 cnf(15, plain, [-(xS = slcrc0), -(aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))))], clausify(m__2035)).
% 252.19/244.34 cnf(16, plain, [aElementOf0(_48249, szNzAzT0), -(aElementOf0(szszuzczcdt0(_48249), szNzAzT0))], clausify(mSuccNum)).
% 252.19/244.34 cnf(17, plain, [aElement0(_44359), aSet0(_44267), _44541 = sdtmndt0(_44267, _44359), aElementOf0(_44755, _44541), -(aElementOf0(_44755, _44267))], clausify(mDefDiff)).
% 252.19/244.34 cnf(18, plain, [_39531 = slcrc0, aElementOf0(_39689, _39531)], clausify(mDefEmp)).
% 252.19/244.34
% 252.19/244.34 cnf('1',plain,[xS = slcrc0, aElementOf0(4 ^ [xS, sz00, xS], xS)],start(18,bind([[_39689, _39531], [4 ^ [xS, sz00, xS], xS]]))).
% 252.19/244.34 cnf('1.1',plain,[-(xS = slcrc0), aElementOf0(szmzazxdt0(xS), slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), -(aElementOf0(szmzazxdt0(xS), szNzAzT0))],extension(5,bind([[_63461], [szmzazxdt0(xS)]]))).
% 252.19/244.34 cnf('1.1.1',plain,[-(aElementOf0(szmzazxdt0(xS), slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))), aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), aSubsetOf0(xS, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))), aElementOf0(szmzazxdt0(xS), xS)],extension(12,bind([[_40905, _41166, _41009], [slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))), szmzazxdt0(xS), xS]]))).
% 252.19/244.34 cnf('1.1.1.1',plain,[-(aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))), -(xS = slcrc0)],extension(15)).
% 252.19/244.34 cnf('1.1.1.1.1',plain,[xS = slcrc0],reduction('1')).
% 252.19/244.34 cnf('1.1.1.2',plain,[-(aSubsetOf0(xS, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))), -(xS = slcrc0)],extension(9)).
% 252.19/244.34 cnf('1.1.1.2.1',plain,[xS = slcrc0],reduction('1')).
% 252.19/244.34 cnf('1.1.1.3',plain,[-(aElementOf0(szmzazxdt0(xS), xS)), aElementOf0(szmzazxdt0(xS), xS)],extension(6,bind([[_62924], [szmzazxdt0(xS)]]))).
% 252.19/244.34 cnf('1.1.1.3.1',plain,[-(aElementOf0(szmzazxdt0(xS), xS)), -(xS = slcrc0)],extension(14)).
% 252.19/244.34 cnf('1.1.1.3.1.1',plain,[xS = slcrc0],reduction('1')).
% 252.19/244.34 cnf('1.1.2',plain,[aElementOf0(szmzazxdt0(xS), szNzAzT0), -(aElementOf0(szszuzczcdt0(szmzazxdt0(xS)), szNzAzT0))],extension(16,bind([[_48249], [szmzazxdt0(xS)]]))).
% 252.19/244.34 cnf('1.1.2.1',plain,[aElementOf0(szszuzczcdt0(szmzazxdt0(xS)), szNzAzT0), aSubsetOf0(xS, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))],extension(7,bind([[_65139], [szszuzczcdt0(szmzazxdt0(xS))]]))).
% 252.19/244.34 cnf('1.1.2.1.1',plain,[-(aSubsetOf0(xS, slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))), -(xS = slcrc0)],extension(9)).
% 252.19/244.34 cnf('1.1.2.1.1.1',plain,[xS = slcrc0],reduction('1')).
% 252.19/244.34 cnf('1.2',plain,[-(aElementOf0(4 ^ [xS, sz00, xS], xS)), aElement0(sz00), aSet0(xS), -(xS = sdtmndt0(xS, sz00)), aSet0(xS), -(aElementOf0(4 ^ [xS, sz00, xS], xS))],extension(2,bind([[_44541, _44359, _44267], [xS, sz00, xS]]))).
% 252.19/244.34 cnf('1.2.1',plain,[-(aElement0(sz00)), aSet0(szNzAzT0), aElementOf0(sz00, szNzAzT0)],extension(1,bind([[_38986, _38899], [sz00, szNzAzT0]]))).
% 252.19/244.34 cnf('1.2.1.1',plain,[-(aSet0(szNzAzT0))],extension(4)).
% 252.19/244.34 cnf('1.2.1.2',plain,[-(aElementOf0(sz00, szNzAzT0))],extension(11)).
% 252.19/244.34 cnf('1.2.2',plain,[-(aSet0(xS)), aSet0(szNzAzT0), aSubsetOf0(xS, szNzAzT0)],extension(8,bind([[_41009, _40905], [xS, szNzAzT0]]))).
% 252.19/244.34 cnf('1.2.2.1',plain,[-(aSet0(szNzAzT0))],extension(4)).
% 252.19/244.34 cnf('1.2.2.2',plain,[-(aSubsetOf0(xS, szNzAzT0))],extension(3)).
% 252.19/244.34 cnf('1.2.3',plain,[xS = sdtmndt0(xS, sz00), aElement0(sz00), aSet0(xS), aElementOf0(10 ^ [sz00], xS), -(aElementOf0(10 ^ [sz00], xS))],extension(17,bind([[_44359, _44541, _44755, _44267], [sz00, xS, 10 ^ [sz00], xS]]))).
% 252.19/244.34 cnf('1.2.3.1',plain,[-(aElement0(sz00))],lemmata('1.2')).
% 252.19/244.34 cnf('1.2.3.2',plain,[-(aSet0(xS))],extension(13)).
% 252.19/244.34 cnf('1.2.3.3',plain,[-(aElementOf0(10 ^ [sz00], xS)), aElementOf0(sz00, szNzAzT0)],extension(10,bind([[_65139], [sz00]]))).
% 252.19/244.34 cnf('1.2.3.3.1',plain,[-(aElementOf0(sz00, szNzAzT0))],extension(11)).
% 252.19/244.34 cnf('1.2.3.4',plain,[aElementOf0(10 ^ [sz00], xS), xS = slcrc0],extension(18,bind([[_39689, _39531], [10 ^ [sz00], xS]]))).
% 252.19/244.34 cnf('1.2.3.4.1',plain,[-(xS = slcrc0)],lemmata('1')).
% 252.19/244.34 cnf('1.2.4',plain,[-(aSet0(xS))],extension(13)).
% 252.19/244.34 cnf('1.2.5',plain,[aElementOf0(4 ^ [xS, sz00, xS], xS)],reduction('1')).
% 252.19/244.34 %-----------------------------------------------------
% 252.19/244.34
% 252.19/244.35 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------