TSTP Solution File: RNG073+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG073+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 20:33:45 EDT 2022
% Result : Theorem 0.35s 1.41s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG073+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n029.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 : Mon May 30 12:34:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/1.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/1.42
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.42 fof(m__, conjecture, sdtpldt0(xR, xS) = sdtpldt0(xP, xP), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 0.35/1.42 fof(mSumSc, axiom, ! [_85755, _85758] : (aScalar0(_85755) & aScalar0(_85758) => aScalar0(sdtpldt0(_85755, _85758))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSumSc)).
% 0.35/1.42 fof(mMulSc, axiom, ! [_85924, _85927] : (aScalar0(_85924) & aScalar0(_85927) => aScalar0(sdtasdt0(_85924, _85927))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMulSc)).
% 0.35/1.42 fof(mLEASm, axiom, ! [_86113, _86116] : (aScalar0(_86113) & aScalar0(_86116) => sdtlseqdt0(_86113, _86116) & sdtlseqdt0(_86116, _86113) => _86113 = _86116), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mLEASm)).
% 0.35/1.42 fof(mLEMonM, axiom, ! [_86327, _86330, _86333, _86336] : (aScalar0(_86327) & aScalar0(_86330) & aScalar0(_86333) & aScalar0(_86336) => sdtlseqdt0(_86327, _86330) & sdtlseqdt0(sz0z00, _86333) & sdtlseqdt0(_86333, _86336) => sdtlseqdt0(sdtasdt0(_86327, _86333), sdtasdt0(_86330, _86336))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mLEMonM)).
% 0.35/1.42 fof(mSqrt, axiom, ! [_86671, _86674] : (aScalar0(_86671) & aScalar0(_86674) => sdtlseqdt0(sz0z00, _86671) & sdtlseqdt0(sz0z00, _86674) & sdtasdt0(_86671, _86671) = sdtasdt0(_86674, _86674) => _86671 = _86674), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSqrt)).
% 0.35/1.42 fof(m__1892, hypothesis, aScalar0(xR) & xR = sdtasdt0(xC, xG), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1892)).
% 0.35/1.42 fof(m__1911, hypothesis, aScalar0(xP) & xP = sdtasdt0(xE, xH), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1911)).
% 0.35/1.42 fof(m__1930, hypothesis, aScalar0(xS) & xS = sdtasdt0(xF, xD), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1930)).
% 0.35/1.42 fof(m__2405, hypothesis, sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2405)).
% 0.35/1.42 fof(m__2610, hypothesis, sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2610)).
% 0.35/1.42 fof(m__2628, hypothesis, sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)) & sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2628)).
% 0.35/1.42
% 0.35/1.42 cnf(1, plain, [sdtpldt0(xR, xS) = sdtpldt0(xP, xP)], clausify(m__)).
% 0.35/1.42 cnf(2, plain, [-(aScalar0(sdtpldt0(_37854, _37905))), aScalar0(_37854), aScalar0(_37905)], clausify(mSumSc)).
% 0.35/1.42 cnf(3, plain, [-(aScalar0(sdtasdt0(_38224, _38275))), aScalar0(_38224), aScalar0(_38275)], clausify(mMulSc)).
% 0.35/1.42 cnf(4, plain, [aScalar0(_45313), aScalar0(_45252), -(_45252 = _45313), sdtlseqdt0(_45252, _45313), sdtlseqdt0(_45313, _45252)], clausify(mLEASm)).
% 0.35/1.42 cnf(5, plain, [aScalar0(_47658), aScalar0(_47567), aScalar0(_47475), aScalar0(_47382), -(sdtlseqdt0(sdtasdt0(_47382, _47567), sdtasdt0(_47475, _47658))), sdtlseqdt0(_47382, _47475), sdtlseqdt0(sz0z00, _47567), sdtlseqdt0(_47567, _47658)], clausify(mLEMonM)).
% 0.35/1.42 cnf(6, plain, [aScalar0(_49892), aScalar0(_49819), -(_49819 = _49892), sdtlseqdt0(sz0z00, _49819), sdtlseqdt0(sz0z00, _49892), sdtasdt0(_49819, _49819) = sdtasdt0(_49892, _49892)], clausify(mSqrt)).
% 0.35/1.42 cnf(7, plain, [-(aScalar0(xR))], clausify(m__1892)).
% 0.35/1.42 cnf(8, plain, [-(aScalar0(xP))], clausify(m__1911)).
% 0.35/1.42 cnf(9, plain, [-(aScalar0(xS))], clausify(m__1930)).
% 0.35/1.42 cnf(10, plain, [-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))))], clausify(m__2405)).
% 0.35/1.42 cnf(11, plain, [-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))], clausify(m__2610)).
% 0.35/1.42 cnf(12, plain, [-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))], clausify(m__2628)).
% 0.35/1.42 cnf(13, plain, [-(sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)))], clausify(m__2628)).
% 0.35/1.42
% 0.35/1.42 cnf('1',plain,[sdtpldt0(xR, xS) = sdtpldt0(xP, xP)],start(1)).
% 0.35/1.42 cnf('1.1',plain,[-(sdtpldt0(xR, xS) = sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xR, xS)), sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)), sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)) = sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))],extension(6,bind([[_49819, _49892], [sdtpldt0(xR, xS), sdtpldt0(xP, xP)]]))).
% 0.35/1.42 cnf('1.1.1',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(2,bind([[_37854, _37905], [xP, xP]]))).
% 0.35/1.42 cnf('1.1.1.1',plain,[-(aScalar0(xP))],extension(8)).
% 0.35/1.42 cnf('1.1.1.2',plain,[-(aScalar0(xP))],extension(8)).
% 0.35/1.42 cnf('1.1.2',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(2,bind([[_37854, _37905], [xR, xS]]))).
% 0.35/1.42 cnf('1.1.2.1',plain,[-(aScalar0(xR))],extension(7)).
% 0.35/1.42 cnf('1.1.2.2',plain,[-(aScalar0(xS))],extension(9)).
% 0.35/1.42 cnf('1.1.3',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))],extension(12)).
% 0.35/1.42 cnf('1.1.4',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)))],extension(13)).
% 0.35/1.42 cnf('1.1.5',plain,[-(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)) = sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))), aScalar0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))), aScalar0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))), sdtlseqdt0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))), sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)))],extension(4,bind([[_45313, _45252], [sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))]]))).
% 0.35/1.42 cnf('1.1.5.1',plain,[-(aScalar0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)))), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xP, xP))],extension(3,bind([[_38224, _38275], [sdtpldt0(xP, xP), sdtpldt0(xP, xP)]]))).
% 0.35/1.42 cnf('1.1.5.1.1',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('1.1')).
% 0.35/1.42 cnf('1.1.5.1.2',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('1.1.5.1')).
% 0.35/1.42 cnf('1.1.5.2',plain,[-(aScalar0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)))), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtpldt0(xR, xS))],extension(3,bind([[_38224, _38275], [sdtpldt0(xR, xS), sdtpldt0(xR, xS)]]))).
% 0.35/1.42 cnf('1.1.5.2.1',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('1.1')).
% 0.35/1.42 cnf('1.1.5.2.2',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('1.1.5.2')).
% 0.35/1.42 cnf('1.1.5.3',plain,[-(sdtlseqdt0(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)))), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xR, xS)), sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)), sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)), sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP))],extension(5,bind([[_47382, _47475, _47567, _47658], [sdtpldt0(xR, xS), sdtpldt0(xP, xP), sdtpldt0(xR, xS), sdtpldt0(xP, xP)]]))).
% 0.35/1.42 cnf('1.1.5.3.1',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('1.1')).
% 0.35/1.42 cnf('1.1.5.3.2',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('1.1')).
% 0.35/1.42 cnf('1.1.5.3.3',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('1.1.5.3')).
% 0.35/1.42 cnf('1.1.5.3.4',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('1.1.5.3')).
% 0.35/1.42 cnf('1.1.5.3.5',plain,[-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))],extension(11)).
% 0.35/1.42 cnf('1.1.5.3.6',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))],extension(12)).
% 0.35/1.42 cnf('1.1.5.3.7',plain,[-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))],extension(11)).
% 0.35/1.42 cnf('1.1.5.4',plain,[-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))))],extension(10)).
% 0.35/1.42 %-----------------------------------------------------
% 0.35/1.43
% 0.35/1.43 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------