TSTP Solution File: NUM517+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM517+3 : 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 11:41:35 EDT 2022
% Result : Theorem 144.99s 140.16s
% Output : Proof 144.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM517+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jul 7 01:30:19 EDT 2022
% 0.14/0.34 % CPUTime :
% 144.99/140.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 144.99/140.16 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 144.99/140.17
% 144.99/140.17 %-----------------------------------------------------
% 144.99/140.17 fof(m__1799, hypothesis, ! [_114958, _114961, _114964] : (aNaturalNumber0(_114958) & aNaturalNumber0(_114961) & aNaturalNumber0(_114964) => ((! _114964) = sz00 & (! _114964) = sz10 & ! [_115009] : (aNaturalNumber0(_115009) & ? [_115024] : (aNaturalNumber0(_115024) & _114964 = sdtasdt0(_115009, _115024)) & doDivides0(_115009, _114964) => _115009 = sz10 | _115009 = _114964) | isPrime0(_114964)) & (? [_115009] : (aNaturalNumber0(_115009) & sdtasdt0(_114958, _114961) = sdtasdt0(_114964, _115009)) | doDivides0(_114964, sdtasdt0(_114958, _114961))) => iLess0(sdtpldt0(sdtpldt0(_114958, _114961), _114964), sdtpldt0(sdtpldt0(xn, xm), xp)) => ? [_115009] : (aNaturalNumber0(_115009) & _114958 = sdtasdt0(_114964, _115009)) & doDivides0(_114964, _114958) | ? [_115009] : (aNaturalNumber0(_115009) & _114961 = sdtasdt0(_114964, _115009)) & doDivides0(_114964, _114961)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1799)).
% 144.99/140.17 fof(m__, conjecture, (aNaturalNumber0(sdtsldt0(xn, xr)) & xn = sdtasdt0(xr, sdtsldt0(xn, xr)) => ? [_116034] : (aNaturalNumber0(_116034) & sdtsldt0(xn, xr) = sdtasdt0(xp, _116034)) | doDivides0(xp, sdtsldt0(xn, xr))) | ? [_116034] : (aNaturalNumber0(_116034) & xm = sdtasdt0(xp, _116034)) | doDivides0(xp, xm), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 144.99/140.17 fof(mSortsB, axiom, ! [_116453, _116456] : (aNaturalNumber0(_116453) & aNaturalNumber0(_116456) => aNaturalNumber0(sdtpldt0(_116453, _116456))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSortsB)).
% 144.99/140.17 fof(mIH_03, axiom, ! [_116645, _116648] : (aNaturalNumber0(_116645) & aNaturalNumber0(_116648) => (! _116645) = _116648 & sdtlseqdt0(_116645, _116648) => iLess0(_116645, _116648)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mIH_03)).
% 144.99/140.17 fof(m__1837, hypothesis, aNaturalNumber0(xn) & aNaturalNumber0(xm) & aNaturalNumber0(xp), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1837)).
% 144.99/140.17 fof(m__1860, hypothesis, (! xp) = sz00 & (! xp) = sz10 & ! [_116987] : (aNaturalNumber0(_116987) & (? [_117002] : (aNaturalNumber0(_117002) & xp = sdtasdt0(_116987, _117002)) | doDivides0(_116987, xp)) => _116987 = sz10 | _116987 = xp) & isPrime0(xp) & ? [_116987] : (aNaturalNumber0(_116987) & sdtasdt0(xn, xm) = sdtasdt0(xp, _116987)) & doDivides0(xp, sdtasdt0(xn, xm)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1860)).
% 144.99/140.17 fof(m__2529, hypothesis, aNaturalNumber0(sdtsldt0(xn, xr)) & xn = sdtasdt0(xr, sdtsldt0(xn, xr)) & ? [_117552] : (aNaturalNumber0(_117552) & sdtasdt0(sdtsldt0(xn, xr), xm) = sdtasdt0(xp, _117552)) & doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2529)).
% 144.99/140.17 fof(m__2686, hypothesis, ~ (aNaturalNumber0(sdtsldt0(xn, xr)) & xn = sdtasdt0(xr, sdtsldt0(xn, xr)) => sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)) & aNaturalNumber0(sdtsldt0(xn, xr)) & xn = sdtasdt0(xr, sdtsldt0(xn, xr)) & ? [_117956] : (aNaturalNumber0(_117956) & sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), _117956) = sdtpldt0(sdtpldt0(xn, xm), xp)) & sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2686)).
% 144.99/140.17
% 144.99/140.17 cnf(1, plain, [-(36 ^ [_68208, _67995, _67781]), -(doDivides0(_68208, _67995))], clausify(m__1799)).
% 144.99/140.17 cnf(2, plain, [-(34 ^ [_68208, _67995, _67781]), -(doDivides0(_68208, _67781))], clausify(m__1799)).
% 144.99/140.17 cnf(3, plain, [-(32 ^ [_68208, _67995, _67781]), doDivides0(_68208, sdtasdt0(_67781, _67995))], clausify(m__1799)).
% 144.99/140.17 cnf(4, plain, [-(31 ^ [_68208, _67995, _67781]), isPrime0(_68208)], clausify(m__1799)).
% 144.99/140.17 cnf(5, plain, [-(aNaturalNumber0(sdtsldt0(xn, xr)))], clausify(m__)).
% 144.99/140.17 cnf(6, plain, [doDivides0(xp, sdtsldt0(xn, xr))], clausify(m__)).
% 144.99/140.17 cnf(7, plain, [doDivides0(xp, xm)], clausify(m__)).
% 144.99/140.17 cnf(8, plain, [-(aNaturalNumber0(sdtpldt0(_44990, _45041))), aNaturalNumber0(_44990), aNaturalNumber0(_45041)], clausify(mSortsB)).
% 144.99/140.17 cnf(9, plain, [aNaturalNumber0(_60745), aNaturalNumber0(_60682), -(iLess0(_60682, _60745)), -(_60682 = _60745), sdtlseqdt0(_60682, _60745)], clausify(mIH_03)).
% 144.99/140.17 cnf(10, plain, [-(aNaturalNumber0(xn))], clausify(m__1837)).
% 144.99/140.17 cnf(11, plain, [-(aNaturalNumber0(xm))], clausify(m__1837)).
% 144.99/140.17 cnf(12, plain, [-(aNaturalNumber0(xp))], clausify(m__1837)).
% 144.99/140.17 cnf(13, plain, [aNaturalNumber0(_68208), aNaturalNumber0(_67995), aNaturalNumber0(_67781), 36 ^ [_68208, _67995, _67781], 34 ^ [_68208, _67995, _67781], iLess0(sdtpldt0(sdtpldt0(_67781, _67995), _68208), sdtpldt0(sdtpldt0(xn, xm), xp)), 32 ^ [_68208, _67995, _67781], 31 ^ [_68208, _67995, _67781]], clausify(m__1799)).
% 144.99/140.17 cnf(14, plain, [-(isPrime0(xp))], clausify(m__1860)).
% 144.99/140.17 cnf(15, plain, [-(doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm)))], clausify(m__2529)).
% 144.99/140.17 cnf(16, plain, [sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)], clausify(m__2686)).
% 144.99/140.17 cnf(17, plain, [-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)))], clausify(m__2686)).
% 144.99/140.17
% 144.99/140.17 cnf('1',plain,[sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)],start(16)).
% 144.99/140.17 cnf('1.1',plain,[-(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp)), -(iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))],extension(9,bind([[_60682, _60745], [sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)]]))).
% 144.99/140.17 cnf('1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(xn, xm), xp))), aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(8,bind([[_44990, _45041], [sdtpldt0(xn, xm), xp]]))).
% 144.99/140.17 cnf('1.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(8,bind([[_44990, _45041], [xn, xm]]))).
% 144.99/140.17 cnf('1.1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(10)).
% 144.99/140.17 cnf('1.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(11)).
% 144.99/140.17 cnf('1.1.1.2',plain,[-(aNaturalNumber0(xp))],extension(12)).
% 144.99/140.17 cnf('1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp))), aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm)), aNaturalNumber0(xp)],extension(8,bind([[_44990, _45041], [sdtpldt0(sdtsldt0(xn, xr), xm), xp]]))).
% 144.99/140.17 cnf('1.1.2.1',plain,[-(aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm))), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm)],extension(8,bind([[_44990, _45041], [sdtsldt0(xn, xr), xm]]))).
% 144.99/140.17 cnf('1.1.2.1.1',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(5)).
% 144.99/140.17 cnf('1.1.2.1.2',plain,[-(aNaturalNumber0(xm))],extension(11)).
% 144.99/140.17 cnf('1.1.2.2',plain,[-(aNaturalNumber0(xp))],extension(12)).
% 144.99/140.17 cnf('1.1.3',plain,[iLess0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)), aNaturalNumber0(xp), aNaturalNumber0(xm), aNaturalNumber0(sdtsldt0(xn, xr)), 36 ^ [xp, xm, sdtsldt0(xn, xr)], 34 ^ [xp, xm, sdtsldt0(xn, xr)], 32 ^ [xp, xm, sdtsldt0(xn, xr)], 31 ^ [xp, xm, sdtsldt0(xn, xr)]],extension(13,bind([[_68208, _67995, _67781], [xp, xm, sdtsldt0(xn, xr)]]))).
% 144.99/140.17 cnf('1.1.3.1',plain,[-(aNaturalNumber0(xp))],extension(12)).
% 144.99/140.17 cnf('1.1.3.2',plain,[-(aNaturalNumber0(xm))],extension(11)).
% 144.99/140.17 cnf('1.1.3.3',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr)))],extension(5)).
% 144.99/140.17 cnf('1.1.3.4',plain,[-(36 ^ [xp, xm, sdtsldt0(xn, xr)]), -(doDivides0(xp, xm))],extension(1,bind([[_67781, _68208, _67995], [sdtsldt0(xn, xr), xp, xm]]))).
% 144.99/140.17 cnf('1.1.3.4.1',plain,[doDivides0(xp, xm)],extension(7)).
% 144.99/140.17 cnf('1.1.3.5',plain,[-(34 ^ [xp, xm, sdtsldt0(xn, xr)]), -(doDivides0(xp, sdtsldt0(xn, xr)))],extension(2,bind([[_67995, _68208, _67781], [xm, xp, sdtsldt0(xn, xr)]]))).
% 144.99/140.17 cnf('1.1.3.5.1',plain,[doDivides0(xp, sdtsldt0(xn, xr))],extension(6)).
% 144.99/140.17 cnf('1.1.3.6',plain,[-(32 ^ [xp, xm, sdtsldt0(xn, xr)]), doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm))],extension(3,bind([[_68208, _67781, _67995], [xp, sdtsldt0(xn, xr), xm]]))).
% 144.99/140.17 cnf('1.1.3.6.1',plain,[-(doDivides0(xp, sdtasdt0(sdtsldt0(xn, xr), xm)))],extension(15)).
% 144.99/140.17 cnf('1.1.3.7',plain,[-(31 ^ [xp, xm, sdtsldt0(xn, xr)]), isPrime0(xp)],extension(4,bind([[_67995, _67781, _68208], [xm, sdtsldt0(xn, xr), xp]]))).
% 144.99/140.17 cnf('1.1.3.7.1',plain,[-(isPrime0(xp))],extension(14)).
% 144.99/140.17 cnf('1.1.4',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp)))],extension(17)).
% 144.99/140.17 %-----------------------------------------------------
% 144.99/140.17
% 144.99/140.18 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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