TSTP Solution File: NUM516+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM516+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 30.52s 30.38s
% Output : Proof 30.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM516+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n007.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 14:30:58 EDT 2022
% 0.13/0.33 % CPUTime :
% 30.52/30.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.52/30.38 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.52/30.39
% 30.52/30.39 %-----------------------------------------------------
% 30.52/30.39 fof(m__, conjecture, ~ (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)) => ? [_119092] : (aNaturalNumber0(_119092) & sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), _119092) = sdtpldt0(sdtpldt0(xn, xm), xp)) | sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 30.52/30.39 fof(mMonAdd, axiom, ! [_119693, _119696] : (aNaturalNumber0(_119693) & aNaturalNumber0(_119696) => (! _119693) = _119696 & sdtlseqdt0(_119693, _119696) => ! [_119736] : (aNaturalNumber0(_119736) => (! sdtpldt0(_119736, _119693)) = sdtpldt0(_119736, _119696) & sdtlseqdt0(sdtpldt0(_119736, _119693), sdtpldt0(_119736, _119696)) & (! sdtpldt0(_119693, _119736)) = sdtpldt0(_119696, _119736) & sdtlseqdt0(sdtpldt0(_119693, _119736), sdtpldt0(_119696, _119736)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMonAdd)).
% 30.52/30.39 fof(mSortsB, axiom, ! [_120245, _120248] : (aNaturalNumber0(_120245) & aNaturalNumber0(_120248) => aNaturalNumber0(sdtpldt0(_120245, _120248))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSortsB)).
% 30.52/30.39 fof(m__1837, hypothesis, aNaturalNumber0(xn) & aNaturalNumber0(xm) & aNaturalNumber0(xp), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1837)).
% 30.52/30.39 fof(m__2504, hypothesis, ~ (aNaturalNumber0(sdtsldt0(xn, xr)) & xn = sdtasdt0(xr, sdtsldt0(xn, xr)) => sdtsldt0(xn, xr) = xn) & aNaturalNumber0(sdtsldt0(xn, xr)) & xn = sdtasdt0(xr, sdtsldt0(xn, xr)) & ? [_120667] : (aNaturalNumber0(_120667) & sdtpldt0(sdtsldt0(xn, xr), _120667) = xn) & sdtlseqdt0(sdtsldt0(xn, xr), xn), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2504)).
% 30.52/30.39
% 30.52/30.39 cnf(1, plain, [-(54 ^ []), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))], clausify(m__)).
% 30.52/30.39 cnf(2, plain, [-(54 ^ []), -(aNaturalNumber0(sdtsldt0(xn, xr)))], clausify(m__)).
% 30.52/30.39 cnf(3, plain, [-(53 ^ []), -(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp))], clausify(m__)).
% 30.52/30.39 cnf(4, plain, [-(53 ^ []), -(aNaturalNumber0(sdtsldt0(xn, xr)))], clausify(m__)).
% 30.52/30.39 cnf(5, plain, [-(14 ^ [_55907, _55549, _55430]), -(sdtlseqdt0(sdtpldt0(_55430, _55907), sdtpldt0(_55549, _55907)))], clausify(mMonAdd)).
% 30.52/30.39 cnf(6, plain, [-(14 ^ [_55907, _55549, _55430]), sdtpldt0(_55430, _55907) = sdtpldt0(_55549, _55907)], clausify(mMonAdd)).
% 30.52/30.39 cnf(7, plain, [53 ^ [], 54 ^ []], clausify(m__)).
% 30.52/30.39 cnf(8, plain, [-(aNaturalNumber0(sdtpldt0(_44009, _44060))), aNaturalNumber0(_44009), aNaturalNumber0(_44060)], clausify(mSortsB)).
% 30.52/30.39 cnf(9, plain, [aNaturalNumber0(_55549), aNaturalNumber0(_55430), sdtlseqdt0(_55430, _55549), -(_55430 = _55549), aNaturalNumber0(_55907), 14 ^ [_55907, _55549, _55430]], clausify(mMonAdd)).
% 30.52/30.39 cnf(10, plain, [-(aNaturalNumber0(xn))], clausify(m__1837)).
% 30.52/30.39 cnf(11, plain, [-(aNaturalNumber0(xm))], clausify(m__1837)).
% 30.52/30.39 cnf(12, plain, [-(aNaturalNumber0(xp))], clausify(m__1837)).
% 30.52/30.39 cnf(13, plain, [sdtsldt0(xn, xr) = xn], clausify(m__2504)).
% 30.52/30.39 cnf(14, plain, [-(sdtlseqdt0(sdtsldt0(xn, xr), xn))], clausify(m__2504)).
% 30.52/30.39
% 30.52/30.39 cnf('1',plain,[53 ^ [], 54 ^ []],start(7)).
% 30.52/30.39 cnf('1.1',plain,[-(53 ^ []), -(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp))],extension(3)).
% 30.52/30.39 cnf('1.1.1',plain,[sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp) = sdtpldt0(sdtpldt0(xn, xm), xp), -(14 ^ [xp, sdtpldt0(xn, xm), sdtpldt0(sdtsldt0(xn, xr), xm)])],extension(6,bind([[_55907, _55549, _55430], [xp, sdtpldt0(xn, xm), sdtpldt0(sdtsldt0(xn, xr), xm)]]))).
% 30.52/30.39 cnf('1.1.1.1',plain,[14 ^ [xp, sdtpldt0(xn, xm), sdtpldt0(sdtsldt0(xn, xr), xm)], aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm)), sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm)), -(sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(9,bind([[_55430, _55549, _55907], [sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm), xp]]))).
% 30.52/30.39 cnf('1.1.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(8,bind([[_44009, _44060], [xn, xm]]))).
% 30.52/30.39 cnf('1.1.1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(10)).
% 30.52/30.39 cnf('1.1.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(11)).
% 30.52/30.39 cnf('1.1.1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm))), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm)],extension(8,bind([[_44009, _44060], [sdtsldt0(xn, xr), xm]]))).
% 30.52/30.39 cnf('1.1.1.1.2.1',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr))), -(53 ^ [])],extension(4)).
% 30.52/30.39 cnf('1.1.1.1.2.1.1',plain,[53 ^ []],reduction('1')).
% 30.52/30.39 cnf('1.1.1.1.2.2',plain,[-(aNaturalNumber0(xm))],extension(11)).
% 30.52/30.39 cnf('1.1.1.1.3',plain,[-(sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm))), -(14 ^ [xm, xn, sdtsldt0(xn, xr)])],extension(5,bind([[_55907, _55549, _55430], [xm, xn, sdtsldt0(xn, xr)]]))).
% 30.52/30.39 cnf('1.1.1.1.3.1',plain,[14 ^ [xm, xn, sdtsldt0(xn, xr)], aNaturalNumber0(xn), aNaturalNumber0(sdtsldt0(xn, xr)), sdtlseqdt0(sdtsldt0(xn, xr), xn), -(sdtsldt0(xn, xr) = xn), aNaturalNumber0(xm)],extension(9,bind([[_55430, _55549, _55907], [sdtsldt0(xn, xr), xn, xm]]))).
% 30.52/30.39 cnf('1.1.1.1.3.1.1',plain,[-(aNaturalNumber0(xn))],extension(10)).
% 30.52/30.39 cnf('1.1.1.1.3.1.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr))), -(53 ^ [])],extension(4)).
% 30.52/30.39 cnf('1.1.1.1.3.1.2.1',plain,[53 ^ []],reduction('1')).
% 30.52/30.39 cnf('1.1.1.1.3.1.3',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(14)).
% 30.52/30.39 cnf('1.1.1.1.3.1.4',plain,[sdtsldt0(xn, xr) = xn],extension(13)).
% 30.52/30.39 cnf('1.1.1.1.3.1.5',plain,[-(aNaturalNumber0(xm))],extension(11)).
% 30.52/30.39 cnf('1.1.1.1.4',plain,[sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm), -(14 ^ [xm, xn, sdtsldt0(xn, xr)])],extension(6,bind([[_55907, _55549, _55430], [xm, xn, sdtsldt0(xn, xr)]]))).
% 30.52/30.39 cnf('1.1.1.1.4.1',plain,[14 ^ [xm, xn, sdtsldt0(xn, xr)], aNaturalNumber0(xn), aNaturalNumber0(sdtsldt0(xn, xr)), sdtlseqdt0(sdtsldt0(xn, xr), xn), -(sdtsldt0(xn, xr) = xn), aNaturalNumber0(xm)],extension(9,bind([[_55430, _55549, _55907], [sdtsldt0(xn, xr), xn, xm]]))).
% 30.52/30.39 cnf('1.1.1.1.4.1.1',plain,[-(aNaturalNumber0(xn))],extension(10)).
% 30.52/30.39 cnf('1.1.1.1.4.1.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr))), -(53 ^ [])],extension(4)).
% 30.52/30.39 cnf('1.1.1.1.4.1.2.1',plain,[53 ^ []],reduction('1')).
% 30.52/30.39 cnf('1.1.1.1.4.1.3',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(14)).
% 30.52/30.39 cnf('1.1.1.1.4.1.4',plain,[sdtsldt0(xn, xr) = xn],extension(13)).
% 30.52/30.39 cnf('1.1.1.1.4.1.5',plain,[-(aNaturalNumber0(xm))],extension(11)).
% 30.52/30.39 cnf('1.1.1.1.5',plain,[-(aNaturalNumber0(xp))],extension(12)).
% 30.52/30.39 cnf('1.2',plain,[-(54 ^ []), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))],extension(1)).
% 30.52/30.39 cnf('1.2.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn, xr), xm), xp), sdtpldt0(sdtpldt0(xn, xm), xp))), -(14 ^ [xp, sdtpldt0(xn, xm), sdtpldt0(sdtsldt0(xn, xr), xm)])],extension(5,bind([[_55907, _55549, _55430], [xp, sdtpldt0(xn, xm), sdtpldt0(sdtsldt0(xn, xr), xm)]]))).
% 30.52/30.39 cnf('1.2.1.1',plain,[14 ^ [xp, sdtpldt0(xn, xm), sdtpldt0(sdtsldt0(xn, xr), xm)], aNaturalNumber0(sdtpldt0(xn, xm)), aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm)), sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm)), -(sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm)), aNaturalNumber0(xp)],extension(9,bind([[_55430, _55549, _55907], [sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm), xp]]))).
% 30.52/30.39 cnf('1.2.1.1.1',plain,[-(aNaturalNumber0(sdtpldt0(xn, xm))), aNaturalNumber0(xn), aNaturalNumber0(xm)],extension(8,bind([[_44009, _44060], [xn, xm]]))).
% 30.52/30.39 cnf('1.2.1.1.1.1',plain,[-(aNaturalNumber0(xn))],extension(10)).
% 30.52/30.39 cnf('1.2.1.1.1.2',plain,[-(aNaturalNumber0(xm))],extension(11)).
% 30.52/30.39 cnf('1.2.1.1.2',plain,[-(aNaturalNumber0(sdtpldt0(sdtsldt0(xn, xr), xm))), aNaturalNumber0(sdtsldt0(xn, xr)), aNaturalNumber0(xm)],extension(8,bind([[_44009, _44060], [sdtsldt0(xn, xr), xm]]))).
% 30.52/30.39 cnf('1.2.1.1.2.1',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr))), -(54 ^ [])],extension(2)).
% 30.52/30.39 cnf('1.2.1.1.2.1.1',plain,[54 ^ []],reduction('1')).
% 30.52/30.39 cnf('1.2.1.1.2.2',plain,[-(aNaturalNumber0(xm))],extension(11)).
% 30.52/30.39 cnf('1.2.1.1.3',plain,[-(sdtlseqdt0(sdtpldt0(sdtsldt0(xn, xr), xm), sdtpldt0(xn, xm))), -(14 ^ [xm, xn, sdtsldt0(xn, xr)])],extension(5,bind([[_55907, _55549, _55430], [xm, xn, sdtsldt0(xn, xr)]]))).
% 30.52/30.39 cnf('1.2.1.1.3.1',plain,[14 ^ [xm, xn, sdtsldt0(xn, xr)], aNaturalNumber0(xn), aNaturalNumber0(sdtsldt0(xn, xr)), sdtlseqdt0(sdtsldt0(xn, xr), xn), -(sdtsldt0(xn, xr) = xn), aNaturalNumber0(xm)],extension(9,bind([[_55430, _55549, _55907], [sdtsldt0(xn, xr), xn, xm]]))).
% 30.52/30.39 cnf('1.2.1.1.3.1.1',plain,[-(aNaturalNumber0(xn))],extension(10)).
% 30.52/30.39 cnf('1.2.1.1.3.1.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr))), -(54 ^ [])],extension(2)).
% 30.52/30.39 cnf('1.2.1.1.3.1.2.1',plain,[54 ^ []],reduction('1')).
% 30.52/30.39 cnf('1.2.1.1.3.1.3',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(14)).
% 30.52/30.39 cnf('1.2.1.1.3.1.4',plain,[sdtsldt0(xn, xr) = xn],extension(13)).
% 30.52/30.39 cnf('1.2.1.1.3.1.5',plain,[-(aNaturalNumber0(xm))],extension(11)).
% 30.52/30.39 cnf('1.2.1.1.4',plain,[sdtpldt0(sdtsldt0(xn, xr), xm) = sdtpldt0(xn, xm), -(14 ^ [xm, xn, sdtsldt0(xn, xr)])],extension(6,bind([[_55907, _55549, _55430], [xm, xn, sdtsldt0(xn, xr)]]))).
% 30.52/30.39 cnf('1.2.1.1.4.1',plain,[14 ^ [xm, xn, sdtsldt0(xn, xr)], aNaturalNumber0(xn), aNaturalNumber0(sdtsldt0(xn, xr)), sdtlseqdt0(sdtsldt0(xn, xr), xn), -(sdtsldt0(xn, xr) = xn), aNaturalNumber0(xm)],extension(9,bind([[_55430, _55549, _55907], [sdtsldt0(xn, xr), xn, xm]]))).
% 30.52/30.39 cnf('1.2.1.1.4.1.1',plain,[-(aNaturalNumber0(xn))],extension(10)).
% 30.52/30.39 cnf('1.2.1.1.4.1.2',plain,[-(aNaturalNumber0(sdtsldt0(xn, xr))), -(54 ^ [])],extension(2)).
% 30.52/30.39 cnf('1.2.1.1.4.1.2.1',plain,[54 ^ []],reduction('1')).
% 30.52/30.39 cnf('1.2.1.1.4.1.3',plain,[-(sdtlseqdt0(sdtsldt0(xn, xr), xn))],extension(14)).
% 30.52/30.39 cnf('1.2.1.1.4.1.4',plain,[sdtsldt0(xn, xr) = xn],extension(13)).
% 30.52/30.39 cnf('1.2.1.1.4.1.5',plain,[-(aNaturalNumber0(xm))],extension(11)).
% 30.52/30.39 cnf('1.2.1.1.5',plain,[-(aNaturalNumber0(xp))],extension(12)).
% 30.52/30.39 %-----------------------------------------------------
% 30.61/30.40
% 30.61/30.40 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------