TSTP Solution File: NUM523+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM523+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 11:41:39 EDT 2022
% Result : Theorem 113.36s 110.11s
% Output : Proof 113.39s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM523+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n021.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 Jul 6 15:01:33 EDT 2022
% 0.12/0.33 % CPUTime :
% 113.36/110.11 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.39/110.12 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.39/110.13
% 113.39/110.13 %-----------------------------------------------------
% 113.39/110.13 fof(m__, conjecture, doDivides0(xp, sdtasdt0(xn, xn)) & doDivides0(xp, xn), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 113.39/110.13 fof(mSortsB_02, axiom, ! [_84934, _84937] : (aNaturalNumber0(_84934) & aNaturalNumber0(_84937) => aNaturalNumber0(sdtasdt0(_84934, _84937))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSortsB_02)).
% 113.39/110.13 fof(mDefDiv, definition, ! [_85147, _85150] : (aNaturalNumber0(_85147) & aNaturalNumber0(_85150) => (doDivides0(_85147, _85150) <=> ? [_85182] : (aNaturalNumber0(_85182) & _85150 = sdtasdt0(_85147, _85182)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefDiv)).
% 113.39/110.13 fof(mPDP, axiom, ! [_85416, _85419, _85422] : (aNaturalNumber0(_85416) & aNaturalNumber0(_85419) & aNaturalNumber0(_85422) => isPrime0(_85422) & doDivides0(_85422, sdtasdt0(_85416, _85419)) => doDivides0(_85422, _85416) | doDivides0(_85422, _85419)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mPDP)).
% 113.39/110.13 fof(m__2987, hypothesis, aNaturalNumber0(xn) & aNaturalNumber0(xm) & aNaturalNumber0(xp) & (! xn) = sz00 & (! xm) = sz00 & (! xp) = sz00, file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2987)).
% 113.39/110.13 fof(m__3014, hypothesis, sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__3014)).
% 113.39/110.13 fof(m__3025, hypothesis, isPrime0(xp), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__3025)).
% 113.39/110.13
% 113.39/110.13 cnf(1, plain, [doDivides0(xp, sdtasdt0(xn, xn)), doDivides0(xp, xn)], clausify(m__)).
% 113.39/110.13 cnf(2, plain, [-(_26714 = _26714)], theory(equality)).
% 113.39/110.13 cnf(3, plain, [_26867 = _26912, -(_26912 = _26867)], theory(equality)).
% 113.39/110.13 cnf(4, plain, [-(doDivides0(_28018, _28149)), doDivides0(_27951, _28084), _27951 = _28018, _28084 = _28149], theory(equality)).
% 113.39/110.13 cnf(5, plain, [-(aNaturalNumber0(sdtasdt0(_33697, _33748))), aNaturalNumber0(_33697), aNaturalNumber0(_33748)], clausify(mSortsB_02)).
% 113.39/110.13 cnf(6, plain, [aNaturalNumber0(_49629), aNaturalNumber0(_49561), -(doDivides0(_49561, _49629)), aNaturalNumber0(_49847), _49629 = sdtasdt0(_49561, _49847)], clausify(mDefDiv)).
% 113.39/110.13 cnf(7, plain, [aNaturalNumber0(_56057), aNaturalNumber0(_55979), aNaturalNumber0(_55900), doDivides0(_56057, sdtasdt0(_55900, _55979)), isPrime0(_56057), -(doDivides0(_56057, _55900)), -(doDivides0(_56057, _55979))], clausify(mPDP)).
% 113.39/110.13 cnf(8, plain, [-(aNaturalNumber0(xn))], clausify(m__2987)).
% 113.39/110.13 cnf(9, plain, [-(aNaturalNumber0(xm))], clausify(m__2987)).
% 113.39/110.13 cnf(10, plain, [-(aNaturalNumber0(xp))], clausify(m__2987)).
% 113.39/110.13 cnf(11, plain, [-(sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn))], clausify(m__3014)).
% 113.39/110.13 cnf(12, plain, [-(isPrime0(xp))], clausify(m__3025)).
% 113.39/110.13
% 113.39/110.13 cnf('1',plain,[doDivides0(xp, sdtasdt0(xn, xn)), doDivides0(xp, xn)],start(1)).
% 113.39/110.13 cnf('1.1',plain,[-(doDivides0(xp, sdtasdt0(xn, xn))), aNaturalNumber0(sdtasdt0(xn, xn)), aNaturalNumber0(xp), aNaturalNumber0(sdtasdt0(xm, xm)), sdtasdt0(xn, xn) = sdtasdt0(xp, sdtasdt0(xm, xm))],extension(6,bind([[_49629, _49561, _49847], [sdtasdt0(xn, xn), xp, sdtasdt0(xm, xm)]]))).
% 113.39/110.13 cnf('1.1.1',plain,[-(aNaturalNumber0(sdtasdt0(xn, xn))), aNaturalNumber0(xn), aNaturalNumber0(xn)],extension(5,bind([[_33697, _33748], [xn, xn]]))).
% 113.39/110.13 cnf('1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(8)).
% 113.39/110.13 cnf('1.1.1.2',plain,[-(aNaturalNumber0(xn))],extension(8)).
% 113.39/110.13 cnf('1.1.2',plain,[-(aNaturalNumber0(xp))],extension(10)).
% 113.39/110.13 cnf('1.1.3',plain,[-(aNaturalNumber0(sdtasdt0(xm, xm))), aNaturalNumber0(xm), aNaturalNumber0(xm)],extension(5,bind([[_33697, _33748], [xm, xm]]))).
% 113.39/110.13 cnf('1.1.3.1',plain,[-(aNaturalNumber0(xm))],extension(9)).
% 113.39/110.13 cnf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(9)).
% 113.39/110.13 cnf('1.1.4',plain,[-(sdtasdt0(xn, xn) = sdtasdt0(xp, sdtasdt0(xm, xm))), sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn)],extension(3,bind([[_26867, _26912], [sdtasdt0(xp, sdtasdt0(xm, xm)), sdtasdt0(xn, xn)]]))).
% 113.39/110.13 cnf('1.1.4.1',plain,[-(sdtasdt0(xp, sdtasdt0(xm, xm)) = sdtasdt0(xn, xn))],extension(11)).
% 113.39/110.13 cnf('1.2',plain,[-(doDivides0(xp, xn)), doDivides0(xp, xn), xp = xp, xn = xn],extension(4,bind([[_27951, _28018, _28084, _28149], [xp, xp, xn, xn]]))).
% 113.39/110.13 cnf('1.2.1',plain,[-(doDivides0(xp, xn)), aNaturalNumber0(xp), aNaturalNumber0(xn), aNaturalNumber0(xn), doDivides0(xp, sdtasdt0(xn, xn)), isPrime0(xp), -(doDivides0(xp, xn))],extension(7,bind([[_55900, _56057, _55979], [xn, xp, xn]]))).
% 113.39/110.13 cnf('1.2.1.1',plain,[-(aNaturalNumber0(xp))],extension(10)).
% 113.39/110.13 cnf('1.2.1.2',plain,[-(aNaturalNumber0(xn))],extension(8)).
% 113.39/110.13 cnf('1.2.1.3',plain,[-(aNaturalNumber0(xn))],extension(8)).
% 113.39/110.13 cnf('1.2.1.4',plain,[-(doDivides0(xp, sdtasdt0(xn, xn)))],lemmata('1')).
% 113.39/110.13 cnf('1.2.1.5',plain,[-(isPrime0(xp))],extension(12)).
% 113.39/110.13 cnf('1.2.1.6',plain,[doDivides0(xp, xn)],reduction('1.2')).
% 113.39/110.13 cnf('1.2.2',plain,[-(xp = xp)],extension(2,bind([[_26714], [xp]]))).
% 113.39/110.13 cnf('1.2.3',plain,[-(xn = xn)],extension(2,bind([[_26714], [xn]]))).
% 113.39/110.13 %-----------------------------------------------------
% 113.39/110.13
% 113.39/110.13 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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