TSTP Solution File: RNG076+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG076+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n017.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 0.49s 1.42s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : RNG076+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 09:48:10 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.49/1.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/1.43 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/1.43
% 0.49/1.43 %-----------------------------------------------------
% 0.49/1.43 fof(m__, conjecture, sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 0.49/1.43 fof(mSumSc, axiom, ! [_87959, _87962] : (aScalar0(_87959) & aScalar0(_87962) => aScalar0(sdtpldt0(_87959, _87962))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mSumSc)).
% 0.49/1.43 fof(mMulSc, axiom, ! [_88128, _88131] : (aScalar0(_88128) & aScalar0(_88131) => aScalar0(sdtasdt0(_88128, _88131))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mMulSc)).
% 0.49/1.43 fof(mLERef, axiom, ! [_88316] : (aScalar0(_88316) => sdtlseqdt0(_88316, _88316)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mLERef)).
% 0.49/1.43 fof(mLEMon, axiom, ! [_88446, _88449, _88452, _88455] : (aScalar0(_88446) & aScalar0(_88449) & aScalar0(_88452) & aScalar0(_88455) => sdtlseqdt0(_88446, _88449) & sdtlseqdt0(_88452, _88455) => sdtlseqdt0(sdtpldt0(_88446, _88452), sdtpldt0(_88449, _88455))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mLEMon)).
% 0.49/1.43 fof(m__1783, hypothesis, aScalar0(xC) & xC = sdtasasdt0(xp, xp), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1783)).
% 0.49/1.43 fof(m__1800, hypothesis, aScalar0(xD) & xD = sdtasasdt0(xq, xq), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1800)).
% 0.49/1.43 fof(m__1820, hypothesis, aScalar0(xE) & xE = sdtasasdt0(xp, xq), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1820)).
% 0.49/1.43 fof(m__1873, hypothesis, aScalar0(xH) & xH = sdtasdt0(xA, xB), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1873)).
% 0.49/1.43 fof(m__1892, hypothesis, aScalar0(xR) & xR = sdtasdt0(xC, xG), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1892)).
% 0.49/1.43 fof(m__1911, hypothesis, aScalar0(xP) & xP = sdtasdt0(xE, xH), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1911)).
% 0.49/1.43 fof(m__1930, hypothesis, aScalar0(xS) & xS = sdtasdt0(xF, xD), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1930)).
% 0.49/1.43 fof(m__1967, hypothesis, sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1967)).
% 0.49/1.43 fof(m__1983, hypothesis, sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__1983)).
% 0.49/1.43
% 0.49/1.43 cnf(1, plain, [sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))))], clausify(m__)).
% 0.49/1.43 cnf(2, plain, [-(aScalar0(sdtpldt0(_37798, _37849))), aScalar0(_37798), aScalar0(_37849)], clausify(mSumSc)).
% 0.49/1.43 cnf(3, plain, [-(aScalar0(sdtasdt0(_38168, _38219))), aScalar0(_38168), aScalar0(_38219)], clausify(mMulSc)).
% 0.49/1.43 cnf(4, plain, [aScalar0(_44964), -(sdtlseqdt0(_44964, _44964))], clausify(mLERef)).
% 0.49/1.43 cnf(5, plain, [sdtlseqdt0(_46562, _46647), sdtlseqdt0(_46389, _46476), -(sdtlseqdt0(sdtpldt0(_46389, _46562), sdtpldt0(_46476, _46647))), aScalar0(_46389), aScalar0(_46476), aScalar0(_46562), aScalar0(_46647)], clausify(mLEMon)).
% 0.49/1.43 cnf(6, plain, [-(aScalar0(xC))], clausify(m__1783)).
% 0.49/1.43 cnf(7, plain, [-(aScalar0(xD))], clausify(m__1800)).
% 0.49/1.43 cnf(8, plain, [-(aScalar0(xE))], clausify(m__1820)).
% 0.49/1.43 cnf(9, plain, [-(aScalar0(xH))], clausify(m__1873)).
% 0.49/1.43 cnf(10, plain, [-(aScalar0(xR))], clausify(m__1892)).
% 0.49/1.43 cnf(11, plain, [-(aScalar0(xP))], clausify(m__1911)).
% 0.49/1.43 cnf(12, plain, [-(aScalar0(xS))], clausify(m__1930)).
% 0.49/1.43 cnf(13, plain, [-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))], clausify(m__1967)).
% 0.49/1.43 cnf(14, plain, [-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))], clausify(m__1983)).
% 0.49/1.43
% 0.49/1.43 cnf('1',plain,[sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))))],start(1)).
% 0.49/1.43 cnf('1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtasdt0(xE, xE), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), sdtpldt0(sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))))), sdtlseqdt0(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))), sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)), aScalar0(sdtasdt0(xE, xE)), aScalar0(sdtasdt0(xC, xD)), aScalar0(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH))), aScalar0(sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))],extension(5,bind([[_46389, _46476, _46562, _46647], [sdtasdt0(xE, xE), sdtasdt0(xC, xD), sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH))]]))).
% 0.49/1.43 cnf('1.1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)), sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))), sdtlseqdt0(sdtasdt0(xH, xH), sdtasdt0(xH, xH)), sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtasdt0(xH, xH)), aScalar0(sdtasdt0(xH, xH))],extension(5,bind([[_46389, _46476, _46562, _46647], [sdtpldt0(xP, xP), sdtpldt0(xR, xS), sdtasdt0(xH, xH), sdtasdt0(xH, xH)]]))).
% 0.49/1.43 cnf('1.1.1.1',plain,[-(sdtlseqdt0(sdtasdt0(xH, xH), sdtasdt0(xH, xH))), aScalar0(sdtasdt0(xH, xH))],extension(4,bind([[_44964], [sdtasdt0(xH, xH)]]))).
% 0.49/1.43 cnf('1.1.1.1.1',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(3,bind([[_38168, _38219], [xH, xH]]))).
% 0.49/1.43 cnf('1.1.1.1.1.1',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43 cnf('1.1.1.1.1.2',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43 cnf('1.1.1.2',plain,[-(sdtlseqdt0(sdtpldt0(xP, xP), sdtpldt0(xR, xS)))],extension(14)).
% 0.49/1.43 cnf('1.1.1.3',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(2,bind([[_37798, _37849], [xP, xP]]))).
% 0.49/1.43 cnf('1.1.1.3.1',plain,[-(aScalar0(xP))],extension(11)).
% 0.49/1.43 cnf('1.1.1.3.2',plain,[-(aScalar0(xP))],extension(11)).
% 0.49/1.43 cnf('1.1.1.4',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(2,bind([[_37798, _37849], [xR, xS]]))).
% 0.49/1.43 cnf('1.1.1.4.1',plain,[-(aScalar0(xR))],extension(10)).
% 0.49/1.43 cnf('1.1.1.4.2',plain,[-(aScalar0(xS))],extension(12)).
% 0.49/1.43 cnf('1.1.1.5',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(3,bind([[_38168, _38219], [xH, xH]]))).
% 0.49/1.43 cnf('1.1.1.5.1',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43 cnf('1.1.1.5.2',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43 cnf('1.1.1.6',plain,[-(aScalar0(sdtasdt0(xH, xH)))],lemmata('1.1.1')).
% 0.49/1.43 cnf('1.1.2',plain,[-(sdtlseqdt0(sdtasdt0(xE, xE), sdtasdt0(xC, xD)))],extension(13)).
% 0.49/1.43 cnf('1.1.3',plain,[-(aScalar0(sdtasdt0(xE, xE))), aScalar0(xE), aScalar0(xE)],extension(3,bind([[_38168, _38219], [xE, xE]]))).
% 0.49/1.43 cnf('1.1.3.1',plain,[-(aScalar0(xE))],extension(8)).
% 0.49/1.43 cnf('1.1.3.2',plain,[-(aScalar0(xE))],extension(8)).
% 0.49/1.43 cnf('1.1.4',plain,[-(aScalar0(sdtasdt0(xC, xD))), aScalar0(xC), aScalar0(xD)],extension(3,bind([[_38168, _38219], [xC, xD]]))).
% 0.49/1.43 cnf('1.1.4.1',plain,[-(aScalar0(xC))],extension(6)).
% 0.49/1.43 cnf('1.1.4.2',plain,[-(aScalar0(xD))],extension(7)).
% 0.49/1.43 cnf('1.1.5',plain,[-(aScalar0(sdtpldt0(sdtpldt0(xP, xP), sdtasdt0(xH, xH)))), aScalar0(sdtpldt0(xP, xP)), aScalar0(sdtasdt0(xH, xH))],extension(2,bind([[_37798, _37849], [sdtpldt0(xP, xP), sdtasdt0(xH, xH)]]))).
% 0.49/1.43 cnf('1.1.5.1',plain,[-(aScalar0(sdtpldt0(xP, xP))), aScalar0(xP), aScalar0(xP)],extension(2,bind([[_37798, _37849], [xP, xP]]))).
% 0.49/1.43 cnf('1.1.5.1.1',plain,[-(aScalar0(xP))],extension(11)).
% 0.49/1.43 cnf('1.1.5.1.2',plain,[-(aScalar0(xP))],extension(11)).
% 0.49/1.43 cnf('1.1.5.2',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(3,bind([[_38168, _38219], [xH, xH]]))).
% 0.49/1.43 cnf('1.1.5.2.1',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43 cnf('1.1.5.2.2',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43 cnf('1.1.6',plain,[-(aScalar0(sdtpldt0(sdtpldt0(xR, xS), sdtasdt0(xH, xH)))), aScalar0(sdtpldt0(xR, xS)), aScalar0(sdtasdt0(xH, xH))],extension(2,bind([[_37798, _37849], [sdtpldt0(xR, xS), sdtasdt0(xH, xH)]]))).
% 0.49/1.43 cnf('1.1.6.1',plain,[-(aScalar0(sdtpldt0(xR, xS))), aScalar0(xR), aScalar0(xS)],extension(2,bind([[_37798, _37849], [xR, xS]]))).
% 0.49/1.43 cnf('1.1.6.1.1',plain,[-(aScalar0(xR))],extension(10)).
% 0.49/1.43 cnf('1.1.6.1.2',plain,[-(aScalar0(xS))],extension(12)).
% 0.49/1.43 cnf('1.1.6.2',plain,[-(aScalar0(sdtasdt0(xH, xH))), aScalar0(xH), aScalar0(xH)],extension(3,bind([[_38168, _38219], [xH, xH]]))).
% 0.49/1.43 cnf('1.1.6.2.1',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43 cnf('1.1.6.2.2',plain,[-(aScalar0(xH))],extension(9)).
% 0.49/1.43 %-----------------------------------------------------
% 0.49/1.44
% 0.49/1.44 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------