TSTP Solution File: NUM508+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM508+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 11:41:30 EDT 2022
% Result : Theorem 144.28s 139.50s
% Output : Proof 144.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM508+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n011.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 05:03:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 144.28/139.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 144.28/139.50 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 144.28/139.51
% 144.28/139.51 %-----------------------------------------------------
% 144.28/139.51 fof(m__1799, hypothesis, ! [_104778, _104781, _104784] : (aNaturalNumber0(_104778) & aNaturalNumber0(_104781) & aNaturalNumber0(_104784) => ((! _104784) = sz00 & (! _104784) = sz10 & ! [_104829] : (aNaturalNumber0(_104829) & ? [_104844] : (aNaturalNumber0(_104844) & _104784 = sdtasdt0(_104829, _104844)) & doDivides0(_104829, _104784) => _104829 = sz10 | _104829 = _104784) | isPrime0(_104784)) & (? [_104829] : (aNaturalNumber0(_104829) & sdtasdt0(_104778, _104781) = sdtasdt0(_104784, _104829)) | doDivides0(_104784, sdtasdt0(_104778, _104781))) => iLess0(sdtpldt0(sdtpldt0(_104778, _104781), _104784), sdtpldt0(sdtpldt0(xn, xm), xp)) => ? [_104829] : (aNaturalNumber0(_104829) & _104778 = sdtasdt0(_104784, _104829)) & doDivides0(_104784, _104778) | ? [_104829] : (aNaturalNumber0(_104829) & _104781 = sdtasdt0(_104784, _104829)) & doDivides0(_104784, _104781)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1799)).
% 144.28/139.51 fof(m__, conjecture, ? [_105821] : (aNaturalNumber0(_105821) & xn = sdtasdt0(xr, _105821)) | doDivides0(xr, xn) | ? [_105821] : (aNaturalNumber0(_105821) & xm = sdtasdt0(xr, _105821)) | doDivides0(xr, xm), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 144.28/139.51 fof(mSortsB, axiom, ! [_106135, _106138] : (aNaturalNumber0(_106135) & aNaturalNumber0(_106138) => aNaturalNumber0(sdtpldt0(_106135, _106138))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSortsB)).
% 144.28/139.51 fof(mIH_03, axiom, ! [_106327, _106330] : (aNaturalNumber0(_106327) & aNaturalNumber0(_106330) => (! _106327) = _106330 & sdtlseqdt0(_106327, _106330) => iLess0(_106327, _106330)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mIH_03)).
% 144.28/139.51 fof(m__1837, hypothesis, aNaturalNumber0(xn) & aNaturalNumber0(xm) & aNaturalNumber0(xp), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1837)).
% 144.28/139.51 fof(m__2362, hypothesis, ? [_106681] : (aNaturalNumber0(_106681) & sdtpldt0(xr, _106681) = xk) & ? [_106681] : (aNaturalNumber0(_106681) & sdtasdt0(xn, xm) = sdtasdt0(xr, _106681)) & doDivides0(xr, sdtasdt0(xn, xm)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2362)).
% 144.28/139.51 fof(m__2478, hypothesis, (! sdtpldt0(sdtpldt0(xn, xm), xr)) = sdtpldt0(sdtpldt0(xn, xm), xp) & ? [_107011] : (aNaturalNumber0(_107011) & sdtpldt0(sdtpldt0(sdtpldt0(xn, xm), xr), _107011) = sdtpldt0(sdtpldt0(xn, xm), xp)) & sdtlseqdt0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2478)).
% 144.28/139.51 fof(m__2342, hypothesis, aNaturalNumber0(xr) & ? [_107387] : (aNaturalNumber0(_107387) & xk = sdtasdt0(xr, _107387)) & doDivides0(xr, xk) & (! xr) = sz00 & (! xr) = sz10 & ! [_107387] : (aNaturalNumber0(_107387) & (? [_107455] : (aNaturalNumber0(_107455) & xr = sdtasdt0(_107387, _107455)) | doDivides0(_107387, xr)) => _107387 = sz10 | _107387 = xr) & isPrime0(xr), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2342)).
% 144.28/139.51
% 144.28/139.51 cnf(1, plain, [-(36 ^ [_64182, _63969, _63755]), -(doDivides0(_64182, _63969))], clausify(m__1799)).
% 144.28/139.51 cnf(2, plain, [-(34 ^ [_64182, _63969, _63755]), -(doDivides0(_64182, _63755))], clausify(m__1799)).
% 144.28/139.51 cnf(3, plain, [-(32 ^ [_64182, _63969, _63755]), doDivides0(_64182, sdtasdt0(_63755, _63969))], clausify(m__1799)).
% 144.28/139.51 cnf(4, plain, [-(31 ^ [_64182, _63969, _63755]), isPrime0(_64182)], clausify(m__1799)).
% 144.28/139.51 cnf(5, plain, [doDivides0(xr, xn)], clausify(m__)).
% 144.28/139.51 cnf(6, plain, [doDivides0(xr, xm)], clausify(m__)).
% 144.28/139.51 cnf(7, plain, [-(aNaturalNumber0(sdtpldt0(_40964, _41015))), aNaturalNumber0(_40964), aNaturalNumber0(_41015)], clausify(mSortsB)).
% 144.28/139.51 cnf(8, plain, [aNaturalNumber0(_56719), aNaturalNumber0(_56656), -(iLess0(_56656, _56719)), -(_56656 = _56719), sdtlseqdt0(_56656, _56719)], clausify(mIH_03)).
% 144.28/139.51 cnf(9, plain, [-(aNaturalNumber0(xn))], clausify(m__1837)).
% 144.28/139.51 cnf(10, plain, [-(aNaturalNumber0(xm))], clausify(m__1837)).
% 144.28/139.51 cnf(11, plain, [-(aNaturalNumber0(xp))], clausify(m__1837)).
% 144.28/139.51 cnf(12, plain, [aNaturalNumber0(_64182), aNaturalNumber0(_63969), aNaturalNumber0(_63755), 36 ^ [_64182, _63969, _63755], 34 ^ [_64182, _63969, _63755], iLess0(sdtpldt0(sdtpldt0(_63755, _63969), _64182), sdtpldt0(sdtpldt0(xn, xm), xp)), 32 ^ [_64182, _63969, _63755], 31 ^ [_64182, _63969, _63755]], clausify(m__1799)).
% 144.28/139.51 cnf(13, plain, [-(doDivides0(xr, sdtasdt0(xn, xm)))], clausify(m__2362)).
% 144.28/139.51 cnf(14, plain, [sdtpldt0(sdtpldt0(xn, xm), xr) = sdtpldt0(sdtpldt0(xn, xm), xp)], clausify(m__2478)).
% 144.28/139.51 cnf(15, plain, [-(sdtlseqdt0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)))], clausify(m__2478)).
% 144.28/139.51 cnf(16, plain, [-(aNaturalNumber0(xr))], clausify(m__2342)).
% 144.28/139.51 cnf(17, plain, [-(isPrime0(xr))], clausify(m__2342)).
% 144.28/139.51
% 144.28/139.51 cnf('1',plain,[sdtpldt0(sdtpldt0(xn, xm), xr) = sdtpldt0(sdtpldt0(xn, xm), xp)],start(14)).
% 144.28/139.51 cnf('1.1',plain,[-(sdtpldt0(sdtpldt0(xn, xm), xr) = sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xr)), -(iLess0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp))), sdtlseqdt0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp))],extension(8,bind([[_56656, _56719], [sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)]]))).
% 144.28/139.51 cnf('1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(7,bind([[_40964, _41015], [sdtpldt0(xn, xm), xp]]))).
% 144.28/139.51 cnf('1.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(7,bind([[_40964, _41015], [xn, xm]]))).
% 144.28/139.51 cnf('1.1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(9)).
% 144.28/139.51 cnf('1.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(10)).
% 144.28/139.51 cnf('1.1.1.2',plain,[-(aNaturalNumber0(xp))],extension(11)).
% 144.28/139.51 cnf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xr))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xr)],extension(7,bind([[_40964, _41015], [sdtpldt0(xn, xm), xr]]))).
% 144.28/139.51 cnf('1.1.2.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(7,bind([[_40964, _41015], [xn, xm]]))).
% 144.28/139.51 cnf('1.1.2.1.1',plain,[-(aNaturalNumber0(xn))],extension(9)).
% 144.28/139.51 cnf('1.1.2.1.2',plain,[-(aNaturalNumber0(xm))],extension(10)).
% 144.28/139.51 cnf('1.1.2.2',plain,[-(aNaturalNumber0(xr))],extension(16)).
% 144.28/139.51 cnf('1.1.3',plain,[iLess0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(xr), aNaturalNumber0(xm), aNaturalNumber0(xn), 36 ^ [xr, xm, xn], 34 ^ [xr, xm, xn], 32 ^ [xr, xm, xn], 31 ^ [xr, xm, xn]],extension(12,bind([[_64182, _63969, _63755], [xr, xm, xn]]))).
% 144.28/139.51 cnf('1.1.3.1',plain,[-(aNaturalNumber0(xr))],extension(16)).
% 144.28/139.51 cnf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(10)).
% 144.28/139.51 cnf('1.1.3.3',plain,[-(aNaturalNumber0(xn))],extension(9)).
% 144.28/139.51 cnf('1.1.3.4',plain,[-(36 ^ [xr, xm, xn]), -(doDivides0(xr, xm))],extension(1,bind([[_63755, _64182, _63969], [xn, xr, xm]]))).
% 144.28/139.51 cnf('1.1.3.4.1',plain,[doDivides0(xr, xm)],extension(6)).
% 144.28/139.51 cnf('1.1.3.5',plain,[-(34 ^ [xr, xm, xn]), -(doDivides0(xr, xn))],extension(2,bind([[_63969, _64182, _63755], [xm, xr, xn]]))).
% 144.28/139.51 cnf('1.1.3.5.1',plain,[doDivides0(xr, xn)],extension(5)).
% 144.28/139.51 cnf('1.1.3.6',plain,[-(32 ^ [xr, xm, xn]), doDivides0(xr, sdtasdt0(xn, xm))],extension(3,bind([[_64182, _63755, _63969], [xr, xn, xm]]))).
% 144.28/139.51 cnf('1.1.3.6.1',plain,[-(doDivides0(xr, sdtasdt0(xn, xm)))],extension(13)).
% 144.28/139.51 cnf('1.1.3.7',plain,[-(31 ^ [xr, xm, xn]), isPrime0(xr)],extension(4,bind([[_63969, _63755, _64182], [xm, xn, xr]]))).
% 144.28/139.51 cnf('1.1.3.7.1',plain,[-(isPrime0(xr))],extension(17)).
% 144.28/139.51 cnf('1.1.4',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)))],extension(15)).
% 144.28/139.51 %-----------------------------------------------------
% 144.28/139.52
% 144.28/139.52 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------