TSTP Solution File: NUM495+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM495+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n003.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 11:41:23 EDT 2022
% Result : Theorem 141.92s 137.76s
% Output : Proof 141.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM495+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 01:58:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 141.92/137.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 141.92/137.77 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 141.92/137.77
% 141.92/137.77 %-----------------------------------------------------
% 141.92/137.77 fof(m__1799, hypothesis, ! [_96279, _96282, _96285] : (aNaturalNumber0(_96279) & aNaturalNumber0(_96282) & aNaturalNumber0(_96285) => ((! _96285) = sz00 & (! _96285) = sz10 & ! [_96330] : (aNaturalNumber0(_96330) & ? [_96345] : (aNaturalNumber0(_96345) & _96285 = sdtasdt0(_96330, _96345)) & doDivides0(_96330, _96285) => _96330 = sz10 | _96330 = _96285) | isPrime0(_96285)) & (? [_96330] : (aNaturalNumber0(_96330) & sdtasdt0(_96279, _96282) = sdtasdt0(_96285, _96330)) | doDivides0(_96285, sdtasdt0(_96279, _96282))) => iLess0(sdtpldt0(sdtpldt0(_96279, _96282), _96285), sdtpldt0(sdtpldt0(xn, xm), xp)) => ? [_96330] : (aNaturalNumber0(_96330) & _96279 = sdtasdt0(_96285, _96330)) & doDivides0(_96285, _96279) | ? [_96330] : (aNaturalNumber0(_96330) & _96282 = sdtasdt0(_96285, _96330)) & doDivides0(_96285, _96282)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1799)).
% 141.92/137.77 fof(m__, conjecture, ? [_97322] : (aNaturalNumber0(_97322) & xr = sdtasdt0(xp, _97322)) | doDivides0(xp, xr) | ? [_97322] : (aNaturalNumber0(_97322) & xm = sdtasdt0(xp, _97322)) | doDivides0(xp, xm), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 141.92/137.77 fof(mSortsB, axiom, ! [_97636, _97639] : (aNaturalNumber0(_97636) & aNaturalNumber0(_97639) => aNaturalNumber0(sdtpldt0(_97636, _97639))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSortsB)).
% 141.92/137.77 fof(mIH_03, axiom, ! [_97828, _97831] : (aNaturalNumber0(_97828) & aNaturalNumber0(_97831) => (! _97828) = _97831 & sdtlseqdt0(_97828, _97831) => iLess0(_97828, _97831)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mIH_03)).
% 141.92/137.77 fof(m__1837, hypothesis, aNaturalNumber0(xn) & aNaturalNumber0(xm) & aNaturalNumber0(xp), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1837)).
% 141.92/137.77 fof(m__1883, hypothesis, aNaturalNumber0(xr) & sdtpldt0(xp, xr) = xn & xr = sdtmndt0(xn, xp), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1883)).
% 141.92/137.77 fof(m__1913, hypothesis, ? [_98225] : (aNaturalNumber0(_98225) & sdtasdt0(xr, xm) = sdtasdt0(xp, _98225)) & doDivides0(xp, sdtasdt0(xr, xm)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1913)).
% 141.92/137.77 fof(m__2062, hypothesis, (! sdtpldt0(sdtpldt0(xr, xm), xp)) = sdtpldt0(sdtpldt0(xn, xm), xp) & ? [_98461] : (aNaturalNumber0(_98461) & sdtpldt0(sdtpldt0(sdtpldt0(xr, xm), xp), _98461) = sdtpldt0(sdtpldt0(xn, xm), xp)) & sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2062)).
% 141.92/137.77 fof(m__1860, hypothesis, (! xp) = sz00 & (! xp) = sz10 & ! [_98848] : (aNaturalNumber0(_98848) & (? [_98863] : (aNaturalNumber0(_98863) & xp = sdtasdt0(_98848, _98863)) | doDivides0(_98848, xp)) => _98848 = sz10 | _98848 = xp) & isPrime0(xp) & ? [_98848] : (aNaturalNumber0(_98848) & sdtasdt0(xn, xm) = sdtasdt0(xp, _98848)) & doDivides0(xp, sdtasdt0(xn, xm)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1860)).
% 141.92/137.77
% 141.92/137.77 cnf(1, plain, [-(36 ^ [_61022, _60809, _60595]), -(doDivides0(_61022, _60809))], clausify(m__1799)).
% 141.92/137.77 cnf(2, plain, [-(34 ^ [_61022, _60809, _60595]), -(doDivides0(_61022, _60595))], clausify(m__1799)).
% 141.92/137.77 cnf(3, plain, [-(32 ^ [_61022, _60809, _60595]), doDivides0(_61022, sdtasdt0(_60595, _60809))], clausify(m__1799)).
% 141.92/137.77 cnf(4, plain, [-(31 ^ [_61022, _60809, _60595]), isPrime0(_61022)], clausify(m__1799)).
% 141.92/137.77 cnf(5, plain, [doDivides0(xp, xr)], clausify(m__)).
% 141.92/137.77 cnf(6, plain, [doDivides0(xp, xm)], clausify(m__)).
% 141.92/137.77 cnf(7, plain, [-(aNaturalNumber0(sdtpldt0(_37804, _37855))), aNaturalNumber0(_37804), aNaturalNumber0(_37855)], clausify(mSortsB)).
% 141.92/137.77 cnf(8, plain, [aNaturalNumber0(_53559), aNaturalNumber0(_53496), -(iLess0(_53496, _53559)), -(_53496 = _53559), sdtlseqdt0(_53496, _53559)], clausify(mIH_03)).
% 141.92/137.77 cnf(9, plain, [-(aNaturalNumber0(xn))], clausify(m__1837)).
% 141.92/137.77 cnf(10, plain, [-(aNaturalNumber0(xm))], clausify(m__1837)).
% 141.92/137.77 cnf(11, plain, [-(aNaturalNumber0(xp))], clausify(m__1837)).
% 141.92/137.77 cnf(12, plain, [-(aNaturalNumber0(xr))], clausify(m__1883)).
% 141.92/137.77 cnf(13, plain, [-(doDivides0(xp, sdtasdt0(xr, xm)))], clausify(m__1913)).
% 141.92/137.77 cnf(14, plain, [sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)], clausify(m__2062)).
% 141.92/137.77 cnf(15, plain, [-(sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)))], clausify(m__2062)).
% 141.92/137.77 cnf(16, plain, [-(isPrime0(xp))], clausify(m__1860)).
% 141.92/137.77 cnf(17, plain, [aNaturalNumber0(_61022), aNaturalNumber0(_60809), aNaturalNumber0(_60595), 36 ^ [_61022, _60809, _60595], 34 ^ [_61022, _60809, _60595], iLess0(sdtpldt0(sdtpldt0(_60595, _60809), _61022), sdtpldt0(sdtpldt0(xn, xm), xp)), 32 ^ [_61022, _60809, _60595], 31 ^ [_61022, _60809, _60595]], clausify(m__1799)).
% 141.92/137.77
% 141.92/137.77 cnf('1',plain,[sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)],start(14)).
% 141.92/137.77 cnf('1.1',plain,[-(sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xr, xm), xp)), -(iLess0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))],extension(8,bind([[_53496, _53559], [sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)]]))).
% 141.92/137.77 cnf('1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(7,bind([[_37804, _37855], [sdtpldt0(xn, xm), xp]]))).
% 141.92/137.77 cnf('1.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(7,bind([[_37804, _37855], [xn, xm]]))).
% 141.92/137.77 cnf('1.1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(9)).
% 141.92/137.77 cnf('1.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(10)).
% 141.92/137.77 cnf('1.1.1.2',plain,[-(aNaturalNumber0(xp))],extension(11)).
% 141.92/137.77 cnf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xr, xm), xp))), aNaturalNumber0(sdtpldt0(xr, xm)), aNaturalNumber0(xp)],extension(7,bind([[_37804, _37855], [sdtpldt0(xr, xm), xp]]))).
% 141.92/137.77 cnf('1.1.2.1',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(7,bind([[_37804, _37855], [xr, xm]]))).
% 141.92/137.77 cnf('1.1.2.1.1',plain,[-(aNaturalNumber0(xr))],extension(12)).
% 141.92/137.77 cnf('1.1.2.1.2',plain,[-(aNaturalNumber0(xm))],extension(10)).
% 141.92/137.77 cnf('1.1.2.2',plain,[-(aNaturalNumber0(xp))],extension(11)).
% 141.92/137.77 cnf('1.1.3',plain,[iLess0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(xr), 36 ^ [xp, xm, xr], 34 ^ [xp, xm, xr], 32 ^ [xp, xm, xr], 31 ^ [xp, xm, xr]],extension(17,bind([[_61022, _60809, _60595], [xp, xm, xr]]))).
% 141.92/137.77 cnf('1.1.3.1',plain,[-(aNaturalNumber0(xp))],extension(11)).
% 141.92/137.77 cnf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(10)).
% 141.92/137.77 cnf('1.1.3.3',plain,[-(aNaturalNumber0(xr))],extension(12)).
% 141.92/137.77 cnf('1.1.3.4',plain,[-(36 ^ [xp, xm, xr]), -(doDivides0(xp, xm))],extension(1,bind([[_60595, _61022, _60809], [xr, xp, xm]]))).
% 141.92/137.77 cnf('1.1.3.4.1',plain,[doDivides0(xp, xm)],extension(6)).
% 141.92/137.77 cnf('1.1.3.5',plain,[-(34 ^ [xp, xm, xr]), -(doDivides0(xp, xr))],extension(2,bind([[_60809, _61022, _60595], [xm, xp, xr]]))).
% 141.92/137.77 cnf('1.1.3.5.1',plain,[doDivides0(xp, xr)],extension(5)).
% 141.92/137.77 cnf('1.1.3.6',plain,[-(32 ^ [xp, xm, xr]), doDivides0(xp, sdtasdt0(xr, xm))],extension(3,bind([[_61022, _60595, _60809], [xp, xr, xm]]))).
% 141.92/137.77 cnf('1.1.3.6.1',plain,[-(doDivides0(xp, sdtasdt0(xr, xm)))],extension(13)).
% 141.92/137.77 cnf('1.1.3.7',plain,[-(31 ^ [xp, xm, xr]), isPrime0(xp)],extension(4,bind([[_60809, _60595, _61022], [xm, xr, xp]]))).
% 141.92/137.77 cnf('1.1.3.7.1',plain,[-(isPrime0(xp))],extension(16)).
% 141.92/137.77 cnf('1.1.4',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)))],extension(15)).
% 141.92/137.77 %-----------------------------------------------------
% 141.92/137.78
% 141.92/137.78 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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