TSTP Solution File: NUM508+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM508+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n009.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 2.14s 2.42s
% Output : Proof 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM508+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n009.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 : Tue Jul 5 11:15:22 EDT 2022
% 0.11/0.33 % CPUTime :
% 2.14/2.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.14/2.43
% 2.14/2.43 %-----------------------------------------------------
% 2.14/2.43 fof(m__, conjecture, doDivides0(xr, xn) | doDivides0(xr, xm), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 2.14/2.43 fof(mSortsB, axiom, ! [_88303, _88306] : (aNaturalNumber0(_88303) & aNaturalNumber0(_88306) => aNaturalNumber0(sdtpldt0(_88303, _88306))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSortsB)).
% 2.14/2.43 fof(mIH_03, axiom, ! [_88514, _88517] : (aNaturalNumber0(_88514) & aNaturalNumber0(_88517) => (! _88514) = _88517 & sdtlseqdt0(_88514, _88517) => iLess0(_88514, _88517)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mIH_03)).
% 2.14/2.43 fof(m__1837, hypothesis, aNaturalNumber0(xn) & aNaturalNumber0(xm) & aNaturalNumber0(xp), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1837)).
% 2.14/2.43 fof(m__2342, hypothesis, aNaturalNumber0(xr) & doDivides0(xr, xk) & isPrime0(xr), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2342)).
% 2.14/2.43 fof(m__2362, hypothesis, sdtlseqdt0(xr, xk) & doDivides0(xr, sdtasdt0(xn, xm)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2362)).
% 2.14/2.43 fof(m__2478, hypothesis, (! sdtpldt0(sdtpldt0(xn, xm), xr)) = 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)).
% 2.14/2.43 fof(m__1799, hypothesis, ! [_89125, _89128, _89131] : (aNaturalNumber0(_89125) & aNaturalNumber0(_89128) & aNaturalNumber0(_89131) => isPrime0(_89131) & doDivides0(_89131, sdtasdt0(_89125, _89128)) => iLess0(sdtpldt0(sdtpldt0(_89125, _89128), _89131), sdtpldt0(sdtpldt0(xn, xm), xp)) => doDivides0(_89131, _89125) | doDivides0(_89131, _89128)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1799)).
% 2.14/2.43
% 2.14/2.43 cnf(1, plain, [doDivides0(xr, xn)], clausify(m__)).
% 2.14/2.43 cnf(2, plain, [doDivides0(xr, xm)], clausify(m__)).
% 2.14/2.43 cnf(3, plain, [-(aNaturalNumber0(sdtpldt0(_34311, _34362))), aNaturalNumber0(_34311), aNaturalNumber0(_34362)], clausify(mSortsB)).
% 2.14/2.43 cnf(4, plain, [aNaturalNumber0(_50066), aNaturalNumber0(_50003), -(iLess0(_50003, _50066)), -(_50003 = _50066), sdtlseqdt0(_50003, _50066)], clausify(mIH_03)).
% 2.14/2.43 cnf(5, plain, [-(aNaturalNumber0(xn))], clausify(m__1837)).
% 2.14/2.43 cnf(6, plain, [-(aNaturalNumber0(xm))], clausify(m__1837)).
% 2.14/2.43 cnf(7, plain, [-(aNaturalNumber0(xp))], clausify(m__1837)).
% 2.14/2.43 cnf(8, plain, [-(aNaturalNumber0(xr))], clausify(m__2342)).
% 2.14/2.43 cnf(9, plain, [-(isPrime0(xr))], clausify(m__2342)).
% 2.14/2.43 cnf(10, plain, [-(doDivides0(xr, sdtasdt0(xn, xm)))], clausify(m__2362)).
% 2.14/2.43 cnf(11, plain, [sdtpldt0(sdtpldt0(xn, xm), xr) = sdtpldt0(sdtpldt0(xn, xm), xp)], clausify(m__2478)).
% 2.14/2.43 cnf(12, plain, [-(sdtlseqdt0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)))], clausify(m__2478)).
% 2.14/2.43 cnf(13, plain, [aNaturalNumber0(_57283), aNaturalNumber0(_57193), aNaturalNumber0(_57102), doDivides0(_57283, sdtasdt0(_57102, _57193)), isPrime0(_57283), iLess0(sdtpldt0(sdtpldt0(_57102, _57193), _57283), sdtpldt0(sdtpldt0(xn, xm), xp)), -(doDivides0(_57283, _57102)), -(doDivides0(_57283, _57193))], clausify(m__1799)).
% 2.14/2.43
% 2.14/2.43 cnf('1',plain,[sdtpldt0(sdtpldt0(xn, xm), xr) = sdtpldt0(sdtpldt0(xn, xm), xp)],start(11)).
% 2.14/2.43 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(4,bind([[_50003, _50066], [sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)]]))).
% 2.14/2.43 cnf('1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(3,bind([[_34311, _34362], [sdtpldt0(xn, xm), xp]]))).
% 2.14/2.43 cnf('1.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(3,bind([[_34311, _34362], [xn, xm]]))).
% 2.14/2.43 cnf('1.1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(5)).
% 2.14/2.43 cnf('1.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(6)).
% 2.14/2.43 cnf('1.1.1.2',plain,[-(aNaturalNumber0(xp))],extension(7)).
% 2.14/2.43 cnf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xr))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xr)],extension(3,bind([[_34311, _34362], [sdtpldt0(xn, xm), xr]]))).
% 2.14/2.43 cnf('1.1.2.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(3,bind([[_34311, _34362], [xn, xm]]))).
% 2.14/2.43 cnf('1.1.2.1.1',plain,[-(aNaturalNumber0(xn))],extension(5)).
% 2.14/2.43 cnf('1.1.2.1.2',plain,[-(aNaturalNumber0(xm))],extension(6)).
% 2.14/2.43 cnf('1.1.2.2',plain,[-(aNaturalNumber0(xr))],extension(8)).
% 2.14/2.43 cnf('1.1.3',plain,[iLess0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(xr), aNaturalNumber0(xm), aNaturalNumber0(xn), doDivides0(xr, sdtasdt0(xn, xm)), isPrime0(xr), -(doDivides0(xr, xn)), -(doDivides0(xr, xm))],extension(13,bind([[_57102, _57283, _57193], [xn, xr, xm]]))).
% 2.14/2.43 cnf('1.1.3.1',plain,[-(aNaturalNumber0(xr))],extension(8)).
% 2.14/2.43 cnf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(6)).
% 2.14/2.43 cnf('1.1.3.3',plain,[-(aNaturalNumber0(xn))],extension(5)).
% 2.14/2.43 cnf('1.1.3.4',plain,[-(doDivides0(xr, sdtasdt0(xn, xm)))],extension(10)).
% 2.14/2.43 cnf('1.1.3.5',plain,[-(isPrime0(xr))],extension(9)).
% 2.14/2.43 cnf('1.1.3.6',plain,[doDivides0(xr, xn)],extension(1)).
% 2.14/2.43 cnf('1.1.3.7',plain,[doDivides0(xr, xm)],extension(2)).
% 2.14/2.43 cnf('1.1.4',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(xn, xm), xr), sdtpldt0(sdtpldt0(xn, xm), xp)))],extension(12)).
% 2.14/2.43 %-----------------------------------------------------
% 2.14/2.43
% 2.14/2.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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