TSTP Solution File: NUM494+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM494+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 11:41:22 EDT 2022
% Result : Theorem 29.84s 29.36s
% Output : Proof 29.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM494+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n026.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 : Thu Jul 7 08:26:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 29.84/29.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.84/29.36 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 29.92/29.37
% 29.92/29.37 %-----------------------------------------------------
% 29.92/29.37 fof(m__, conjecture, (! sdtpldt0(sdtpldt0(xr, xm), xp)) = sdtpldt0(sdtpldt0(xn, xm), xp) & (? [_100601] : (aNaturalNumber0(_100601) & sdtpldt0(sdtpldt0(sdtpldt0(xr, xm), xp), _100601) = sdtpldt0(sdtpldt0(xn, xm), xp)) | sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 29.92/29.37 fof(mMonAdd, axiom, ! [_101000, _101003] : (aNaturalNumber0(_101000) & aNaturalNumber0(_101003) => (! _101000) = _101003 & sdtlseqdt0(_101000, _101003) => ! [_101043] : (aNaturalNumber0(_101043) => (! sdtpldt0(_101043, _101000)) = sdtpldt0(_101043, _101003) & sdtlseqdt0(sdtpldt0(_101043, _101000), sdtpldt0(_101043, _101003)) & (! sdtpldt0(_101000, _101043)) = sdtpldt0(_101003, _101043) & sdtlseqdt0(sdtpldt0(_101000, _101043), sdtpldt0(_101003, _101043)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMonAdd)).
% 29.92/29.37 fof(mSortsB, axiom, ! [_101552, _101555] : (aNaturalNumber0(_101552) & aNaturalNumber0(_101555) => aNaturalNumber0(sdtpldt0(_101552, _101555))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSortsB)).
% 29.92/29.37 fof(m__1837, hypothesis, aNaturalNumber0(xn) & aNaturalNumber0(xm) & aNaturalNumber0(xp), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1837)).
% 29.92/29.37 fof(m__1883, hypothesis, aNaturalNumber0(xr) & sdtpldt0(xp, xr) = xn & xr = sdtmndt0(xn, xp), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1883)).
% 29.92/29.37 fof(m__1894, hypothesis, (! xr) = xn & ? [_101936] : (aNaturalNumber0(_101936) & sdtpldt0(xr, _101936) = xn) & sdtlseqdt0(xr, xn), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1894)).
% 29.92/29.37
% 29.92/29.37 cnf(1, plain, [-(42 ^ []), sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))], clausify(m__)).
% 29.92/29.37 cnf(2, plain, [-(14 ^ [_49087, _48729, _48610]), -(sdtlseqdt0(sdtpldt0(_48610, _49087), sdtpldt0(_48729, _49087)))], clausify(mMonAdd)).
% 29.92/29.37 cnf(3, plain, [-(14 ^ [_49087, _48729, _48610]), sdtpldt0(_48610, _49087) = sdtpldt0(_48729, _49087)], clausify(mMonAdd)).
% 29.92/29.37 cnf(4, plain, [-(sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), 42 ^ []], clausify(m__)).
% 29.92/29.37 cnf(5, plain, [-(aNaturalNumber0(sdtpldt0(_37189, _37240))), aNaturalNumber0(_37189), aNaturalNumber0(_37240)], clausify(mSortsB)).
% 29.92/29.37 cnf(6, plain, [aNaturalNumber0(_48729), aNaturalNumber0(_48610), sdtlseqdt0(_48610, _48729), -(_48610 = _48729), aNaturalNumber0(_49087), 14 ^ [_49087, _48729, _48610]], clausify(mMonAdd)).
% 29.92/29.37 cnf(7, plain, [-(aNaturalNumber0(xn))], clausify(m__1837)).
% 29.92/29.37 cnf(8, plain, [-(aNaturalNumber0(xm))], clausify(m__1837)).
% 29.92/29.37 cnf(9, plain, [-(aNaturalNumber0(xp))], clausify(m__1837)).
% 29.92/29.37 cnf(10, plain, [-(aNaturalNumber0(xr))], clausify(m__1883)).
% 29.92/29.37 cnf(11, plain, [xr = xn], clausify(m__1894)).
% 29.92/29.37 cnf(12, plain, [-(sdtlseqdt0(xr, xn))], clausify(m__1894)).
% 29.92/29.37
% 29.92/29.37 cnf('1',plain,[-(sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp)), 42 ^ []],start(4)).
% 29.92/29.37 cnf('1.1',plain,[sdtpldt0(sdtpldt0(xr, xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp), -(14 ^ [xp, sdtpldt0(xn, xm), sdtpldt0(xr, xm)])],extension(3,bind([[_49087, _48729, _48610], [xp, sdtpldt0(xn, xm), sdtpldt0(xr, xm)]]))).
% 29.92/29.37 cnf('1.1.1',plain,[14 ^ [xp, sdtpldt0(xn, xm), sdtpldt0(xr, xm)], aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(sdtpldt0(xr, xm)), sdtlseqdt0(sdtpldt0(xr, xm), sdtpldt0(xn, xm)), -(sdtpldt0(xr, xm) = sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(6,bind([[_48610, _48729, _49087], [sdtpldt0(xr, xm), sdtpldt0(xn, xm), xp]]))).
% 29.92/29.37 cnf('1.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(5,bind([[_37189, _37240], [xn, xm]]))).
% 29.92/29.37 cnf('1.1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(7)).
% 29.92/29.37 cnf('1.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(8)).
% 29.92/29.37 cnf('1.1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(5,bind([[_37189, _37240], [xr, xm]]))).
% 29.92/29.37 cnf('1.1.1.2.1',plain,[-(aNaturalNumber0(xr))],extension(10)).
% 29.92/29.37 cnf('1.1.1.2.2',plain,[-(aNaturalNumber0(xm))],extension(8)).
% 29.92/29.37 cnf('1.1.1.3',plain,[-(sdtlseqdt0(sdtpldt0(xr, xm), sdtpldt0(xn, xm))), -(14 ^ [xm, xn, xr])],extension(2,bind([[_49087, _48729, _48610], [xm, xn, xr]]))).
% 29.92/29.37 cnf('1.1.1.3.1',plain,[14 ^ [xm, xn, xr], aNaturalNumber0(xn), aNaturalNumber0(xr), sdtlseqdt0(xr, xn), -(xr = xn), aNaturalNumber0(xm)],extension(6,bind([[_48610, _48729, _49087], [xr, xn, xm]]))).
% 29.92/29.37 cnf('1.1.1.3.1.1',plain,[-(aNaturalNumber0(xn))],extension(7)).
% 29.92/29.37 cnf('1.1.1.3.1.2',plain,[-(aNaturalNumber0(xr))],extension(10)).
% 29.92/29.37 cnf('1.1.1.3.1.3',plain,[-(sdtlseqdt0(xr, xn))],extension(12)).
% 29.92/29.37 cnf('1.1.1.3.1.4',plain,[xr = xn],extension(11)).
% 29.92/29.37 cnf('1.1.1.3.1.5',plain,[-(aNaturalNumber0(xm))],extension(8)).
% 29.92/29.37 cnf('1.1.1.4',plain,[sdtpldt0(xr, xm) = sdtpldt0(xn, xm), -(14 ^ [xm, xn, xr])],extension(3,bind([[_49087, _48729, _48610], [xm, xn, xr]]))).
% 29.92/29.37 cnf('1.1.1.4.1',plain,[14 ^ [xm, xn, xr], aNaturalNumber0(xn), aNaturalNumber0(xr), sdtlseqdt0(xr, xn), -(xr = xn), aNaturalNumber0(xm)],extension(6,bind([[_48610, _48729, _49087], [xr, xn, xm]]))).
% 29.92/29.37 cnf('1.1.1.4.1.1',plain,[-(aNaturalNumber0(xn))],extension(7)).
% 29.92/29.37 cnf('1.1.1.4.1.2',plain,[-(aNaturalNumber0(xr))],extension(10)).
% 29.92/29.37 cnf('1.1.1.4.1.3',plain,[-(sdtlseqdt0(xr, xn))],extension(12)).
% 29.92/29.37 cnf('1.1.1.4.1.4',plain,[xr = xn],extension(11)).
% 29.92/29.37 cnf('1.1.1.4.1.5',plain,[-(aNaturalNumber0(xm))],extension(8)).
% 29.92/29.37 cnf('1.1.1.5',plain,[-(aNaturalNumber0(xp))],extension(9)).
% 29.92/29.37 cnf('1.2',plain,[-(42 ^ []), sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))],extension(1)).
% 29.92/29.37 cnf('1.2.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(xr, xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), -(14 ^ [xp, sdtpldt0(xn, xm), sdtpldt0(xr, xm)])],extension(2,bind([[_49087, _48729, _48610], [xp, sdtpldt0(xn, xm), sdtpldt0(xr, xm)]]))).
% 29.92/29.37 cnf('1.2.1.1',plain,[14 ^ [xp, sdtpldt0(xn, xm), sdtpldt0(xr, xm)], aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(sdtpldt0(xr, xm)), sdtlseqdt0(sdtpldt0(xr, xm), sdtpldt0(xn, xm)), -(sdtpldt0(xr, xm) = sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(6,bind([[_48610, _48729, _49087], [sdtpldt0(xr, xm), sdtpldt0(xn, xm), xp]]))).
% 29.92/29.37 cnf('1.2.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(5,bind([[_37189, _37240], [xn, xm]]))).
% 29.92/29.37 cnf('1.2.1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(7)).
% 29.92/29.37 cnf('1.2.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(8)).
% 29.92/29.37 cnf('1.2.1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(xr, xm))), aNaturalNumber0(xr), aNaturalNumber0(xm)],extension(5,bind([[_37189, _37240], [xr, xm]]))).
% 29.92/29.37 cnf('1.2.1.1.2.1',plain,[-(aNaturalNumber0(xr))],extension(10)).
% 29.92/29.37 cnf('1.2.1.1.2.2',plain,[-(aNaturalNumber0(xm))],extension(8)).
% 29.92/29.37 cnf('1.2.1.1.3',plain,[-(sdtlseqdt0(sdtpldt0(xr, xm), sdtpldt0(xn, xm))), -(14 ^ [xm, xn, xr])],extension(2,bind([[_49087, _48729, _48610], [xm, xn, xr]]))).
% 29.92/29.37 cnf('1.2.1.1.3.1',plain,[14 ^ [xm, xn, xr], aNaturalNumber0(xn), aNaturalNumber0(xr), sdtlseqdt0(xr, xn), -(xr = xn), aNaturalNumber0(xm)],extension(6,bind([[_48610, _48729, _49087], [xr, xn, xm]]))).
% 29.92/29.37 cnf('1.2.1.1.3.1.1',plain,[-(aNaturalNumber0(xn))],extension(7)).
% 29.92/29.37 cnf('1.2.1.1.3.1.2',plain,[-(aNaturalNumber0(xr))],extension(10)).
% 29.92/29.37 cnf('1.2.1.1.3.1.3',plain,[-(sdtlseqdt0(xr, xn))],extension(12)).
% 29.92/29.37 cnf('1.2.1.1.3.1.4',plain,[xr = xn],extension(11)).
% 29.92/29.37 cnf('1.2.1.1.3.1.5',plain,[-(aNaturalNumber0(xm))],extension(8)).
% 29.92/29.37 cnf('1.2.1.1.4',plain,[sdtpldt0(xr, xm) = sdtpldt0(xn, xm), -(14 ^ [xm, xn, xr])],extension(3,bind([[_49087, _48729, _48610], [xm, xn, xr]]))).
% 29.92/29.37 cnf('1.2.1.1.4.1',plain,[14 ^ [xm, xn, xr], aNaturalNumber0(xn), aNaturalNumber0(xr), sdtlseqdt0(xr, xn), -(xr = xn), aNaturalNumber0(xm)],extension(6,bind([[_48610, _48729, _49087], [xr, xn, xm]]))).
% 29.92/29.37 cnf('1.2.1.1.4.1.1',plain,[-(aNaturalNumber0(xn))],extension(7)).
% 29.92/29.37 cnf('1.2.1.1.4.1.2',plain,[-(aNaturalNumber0(xr))],extension(10)).
% 29.92/29.37 cnf('1.2.1.1.4.1.3',plain,[-(sdtlseqdt0(xr, xn))],extension(12)).
% 29.92/29.37 cnf('1.2.1.1.4.1.4',plain,[xr = xn],extension(11)).
% 29.92/29.37 cnf('1.2.1.1.4.1.5',plain,[-(aNaturalNumber0(xm))],extension(8)).
% 29.92/29.37 cnf('1.2.1.1.5',plain,[-(aNaturalNumber0(xp))],extension(9)).
% 29.92/29.37 %-----------------------------------------------------
% 29.92/29.37
% 29.92/29.38 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------