TSTP Solution File: RNG073+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG073+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n018.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 20:33:46 EDT 2022
% Result : Theorem 0.35s 1.42s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : RNG073+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon May 30 17:13:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.35/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.43 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.44
% 0.35/1.44 %-----------------------------------------------------
% 0.35/1.44 fof(m__, conjecture, sdtpldt0(xR, xS) = sdtpldt0(xP, xP), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 0.35/1.44 fof(mSumSc, axiom, ! [_87911, _87914] : (aScalar0(_87911) & aScalar0(_87914) => aScalar0(sdtpldt0(_87911, _87914))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSumSc)).
% 0.35/1.44 fof(mMulSc, axiom, ! [_88080, _88083] : (aScalar0(_88080) & aScalar0(_88083) => aScalar0(sdtasdt0(_88080, _88083))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mMulSc)).
% 0.35/1.44 fof(mLEASm, axiom, ! [_88269, _88272] : (aScalar0(_88269) & aScalar0(_88272) => sdtlseqdt0(_88269, _88272) & sdtlseqdt0(_88272, _88269) => _88269 = _88272), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mLEASm)).
% 0.35/1.44 fof(mLEMonM, axiom, ! [_88483, _88486, _88489, _88492] : (aScalar0(_88483) & aScalar0(_88486) & aScalar0(_88489) & aScalar0(_88492) => sdtlseqdt0(_88483, _88486) & sdtlseqdt0(sz0z00, _88489) & sdtlseqdt0(_88489, _88492) => sdtlseqdt0(sdtasdt0(_88483, _88489), sdtasdt0(_88486, _88492))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mLEMonM)).
% 0.35/1.44 fof(mSqrt, axiom, ! [_88827, _88830] : (aScalar0(_88827) & aScalar0(_88830) => sdtlseqdt0(sz0z00, _88827) & sdtlseqdt0(sz0z00, _88830) & sdtasdt0(_88827, _88827) = sdtasdt0(_88830, _88830) => _88827 = _88830), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSqrt)).
% 0.35/1.44 fof(m__1892, hypothesis, aScalar0(xR) & xR = sdtasdt0(xC, xG), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1892)).
% 0.35/1.44 fof(m__1911, hypothesis, aScalar0(xP) & xP = sdtasdt0(xE, xH), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1911)).
% 0.35/1.44 fof(m__1930, hypothesis, aScalar0(xS) & xS = sdtasdt0(xF, xD), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1930)).
% 0.35/1.44 fof(m__2405, hypothesis, sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2405)).
% 0.35/1.44 fof(m__2610, hypothesis, sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2610)).
% 0.35/1.44 fof(m__2628, hypothesis, sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)) & sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2628)).
% 0.35/1.44
% 0.35/1.44 cnf(1, plain, [sdtpldt0(xR, xS) = sdtpldt0(xP, xP)], clausify(m__)).
% 0.35/1.44 cnf(2, plain, [-(aScalar0(sdtpldt0(_38817, _38868))), aScalar0(_38817), aScalar0(_38868)], clausify(mSumSc)).
% 0.35/1.44 cnf(3, plain, [-(aScalar0(sdtasdt0(_39187, _39238))), aScalar0(_39187), aScalar0(_39238)], clausify(mMulSc)).
% 0.35/1.44 cnf(4, plain, [aScalar0(_46276), aScalar0(_46215), -(_46215 = _46276), sdtlseqdt0(_46215, _46276), sdtlseqdt0(_46276, _46215)], clausify(mLEASm)).
% 0.35/1.44 cnf(5, plain, [aScalar0(_48621), aScalar0(_48530), aScalar0(_48438), aScalar0(_48345), -(sdtlseqdt0(sdtasdt0(_48345, _48530), sdtasdt0(_48438, _48621))), sdtlseqdt0(_48345, _48438), sdtlseqdt0(sz0z00, _48530), sdtlseqdt0(_48530, _48621)], clausify(mLEMonM)).
% 0.35/1.44 cnf(6, plain, [aScalar0(_50855), aScalar0(_50782), -(_50782 = _50855), sdtlseqdt0(sz0z00, _50782), sdtlseqdt0(sz0z00, _50855), sdtasdt0(_50782, _50782) = sdtasdt0(_50855, _50855)], clausify(mSqrt)).
% 0.35/1.44 cnf(7, plain, [-(aScalar0(xR))], clausify(m__1892)).
% 0.35/1.44 cnf(8, plain, [-(aScalar0(xP))], clausify(m__1911)).
% 0.35/1.44 cnf(9, plain, [-(aScalar0(xS))], clausify(m__1930)).
% 0.35/1.44 cnf(10, plain, [-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))))], clausify(m__2405)).
% 0.35/1.44 cnf(11, plain, [-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))], clausify(m__2610)).
% 0.35/1.44 cnf(12, plain, [-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))], clausify(m__2628)).
% 0.35/1.44 cnf(13, plain, [-(sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)))], clausify(m__2628)).
% 0.35/1.44
% 0.35/1.44 cnf('1',plain,[sdtpldt0(xR, xS) = sdtpldt0(xP, xP)],start(1)).
% 0.35/1.44 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([[_50782, _50855], [sdtpldt0(xR, xS), sdtpldt0(xP, xP)]]))).
% 0.35/1.44 cnf('1.1.1',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(2,bind([[_38817, _38868], [xP, xP]]))).
% 0.35/1.44 cnf('1.1.1.1',plain,[-(aScalar0(xP))],extension(8)).
% 0.35/1.44 cnf('1.1.1.2',plain,[-(aScalar0(xP))],extension(8)).
% 0.35/1.44 cnf('1.1.2',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(2,bind([[_38817, _38868], [xR, xS]]))).
% 0.35/1.44 cnf('1.1.2.1',plain,[-(aScalar0(xR))],extension(7)).
% 0.35/1.44 cnf('1.1.2.2',plain,[-(aScalar0(xS))],extension(9)).
% 0.35/1.44 cnf('1.1.3',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))],extension(12)).
% 0.35/1.44 cnf('1.1.4',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xP, xP)))],extension(13)).
% 0.35/1.44 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([[_46276, _46215], [sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))]]))).
% 0.35/1.44 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([[_39187, _39238], [sdtpldt0(xP, xP), sdtpldt0(xP, xP)]]))).
% 0.35/1.44 cnf('1.1.5.1.1',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('1.1')).
% 0.35/1.44 cnf('1.1.5.1.2',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('1.1.5.1')).
% 0.35/1.44 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([[_39187, _39238], [sdtpldt0(xR, xS), sdtpldt0(xR, xS)]]))).
% 0.35/1.44 cnf('1.1.5.2.1',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('1.1')).
% 0.35/1.44 cnf('1.1.5.2.2',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('1.1.5.2')).
% 0.35/1.44 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([[_48345, _48438, _48530, _48621], [sdtpldt0(xR, xS), sdtpldt0(xP, xP), sdtpldt0(xR, xS), sdtpldt0(xP, xP)]]))).
% 0.35/1.44 cnf('1.1.5.3.1',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('1.1')).
% 0.35/1.44 cnf('1.1.5.3.2',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('1.1')).
% 0.35/1.44 cnf('1.1.5.3.3',plain,[-(aScalar0(sdtpldt0(xP, xP)))],lemmata('1.1.5.3')).
% 0.35/1.44 cnf('1.1.5.3.4',plain,[-(aScalar0(sdtpldt0(xR, xS)))],lemmata('1.1.5.3')).
% 0.35/1.44 cnf('1.1.5.3.5',plain,[-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))],extension(11)).
% 0.35/1.44 cnf('1.1.5.3.6',plain,[-(sdtlseqdt0(sz0z00, sdtpldt0(xR, xS)))],extension(12)).
% 0.35/1.44 cnf('1.1.5.3.7',plain,[-(sdtlseqdt0(sdtpldt0(xR, xS), sdtpldt0(xP, xP)))],extension(11)).
% 0.35/1.44 cnf('1.1.5.4',plain,[-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))))],extension(10)).
% 0.35/1.44 %-----------------------------------------------------
% 0.35/1.44
% 0.35/1.44 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------