TSTP Solution File: RNG069+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG069+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 116.24s 112.35s
% Output : Proof 116.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG069+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon May 30 19:26:50 EDT 2022
% 0.11/0.33 % CPUTime :
% 116.24/112.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 116.24/112.35 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 116.24/112.36
% 116.24/112.36 %-----------------------------------------------------
% 116.24/112.36 fof(m__, conjecture, sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 116.24/112.36 fof(mDistr2, axiom, ! [_88424, _88427, _88430, _88433] : (aScalar0(_88424) & aScalar0(_88427) & aScalar0(_88430) & aScalar0(_88433) => sdtasdt0(sdtpldt0(_88424, _88427), sdtpldt0(_88430, _88433)) = sdtpldt0(sdtpldt0(sdtasdt0(_88424, _88430), sdtasdt0(_88424, _88433)), sdtpldt0(sdtasdt0(_88427, _88430), sdtasdt0(_88427, _88433)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDistr2)).
% 116.24/112.36 fof(m__1892, hypothesis, aScalar0(xR) & xR = sdtasdt0(xC, xG), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1892)).
% 116.24/112.36 fof(m__1911, hypothesis, aScalar0(xP) & xP = sdtasdt0(xE, xH), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1911)).
% 116.24/112.36 fof(m__1930, hypothesis, aScalar0(xS) & xS = sdtasdt0(xF, xD), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1930)).
% 116.24/112.36 fof(m__2580, hypothesis, sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2580)).
% 116.24/112.36
% 116.24/112.36 cnf(1, plain, [sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)))], clausify(m__)).
% 116.24/112.36 cnf(2, plain, [-(_29481 = _29481)], theory(equality)).
% 116.24/112.36 cnf(3, plain, [_29634 = _29679, -(_29679 = _29634)], theory(equality)).
% 116.24/112.36 cnf(4, plain, [-(sdtlseqdt0(_32057, _32188)), sdtlseqdt0(_31990, _32123), _31990 = _32057, _32123 = _32188], theory(equality)).
% 116.24/112.36 cnf(5, plain, [-(sdtasdt0(sdtpldt0(_43717, _43816), sdtpldt0(_43914, _44011)) = sdtpldt0(sdtpldt0(sdtasdt0(_43717, _43914), sdtasdt0(_43717, _44011)), sdtpldt0(sdtasdt0(_43816, _43914), sdtasdt0(_43816, _44011)))), aScalar0(_43717), aScalar0(_43816), aScalar0(_43914), aScalar0(_44011)], clausify(mDistr2)).
% 116.24/112.36 cnf(6, plain, [-(aScalar0(xR))], clausify(m__1892)).
% 116.24/112.36 cnf(7, plain, [-(aScalar0(xP))], clausify(m__1911)).
% 116.24/112.36 cnf(8, plain, [-(aScalar0(xS))], clausify(m__1930)).
% 116.24/112.36 cnf(9, plain, [-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))))], clausify(m__2580)).
% 116.24/112.36
% 116.24/112.36 cnf('1',plain,[sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)))],start(1)).
% 116.24/112.36 cnf('1.1',plain,[-(sdtlseqdt0(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)))), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))), sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))) = sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))) = sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))],extension(4,bind([[_31990, _32057, _32123, _32188], [sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))]]))).
% 116.24/112.36 cnf('1.1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))))), sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))), sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))) = sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))],extension(4,bind([[_31990, _32057, _32123, _32188], [sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))]]))).
% 116.24/112.36 cnf('1.1.1.1',plain,[-(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))))],extension(9)).
% 116.24/112.36 cnf('1.1.1.2',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))) = sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))))],extension(2,bind([[_29481], [sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))]]))).
% 116.24/112.36 cnf('1.1.1.3',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))))],extension(2,bind([[_29481], [sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))]]))).
% 116.24/112.36 cnf('1.1.2',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP))) = sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP))), sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)) = sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))],extension(3,bind([[_29634, _29679], [sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)), sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))]]))).
% 116.24/112.36 cnf('1.1.2.1',plain,[-(sdtasdt0(sdtpldt0(xP, xP), sdtpldt0(xP, xP)) = sdtpldt0(sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)), sdtpldt0(sdtasdt0(xP, xP), sdtasdt0(xP, xP)))), aScalar0(xP), aScalar0(xP), aScalar0(xP), aScalar0(xP)],extension(5,bind([[_43717, _43816, _43914, _44011], [xP, xP, xP, xP]]))).
% 116.24/112.36 cnf('1.1.2.1.1',plain,[-(aScalar0(xP))],extension(7)).
% 116.24/112.36 cnf('1.1.2.1.2',plain,[-(aScalar0(xP))],extension(7)).
% 116.24/112.36 cnf('1.1.2.1.3',plain,[-(aScalar0(xP))],extension(7)).
% 116.24/112.36 cnf('1.1.2.1.4',plain,[-(aScalar0(xP))],extension(7)).
% 116.24/112.36 cnf('1.1.3',plain,[-(sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS))) = sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS))), sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))],extension(3,bind([[_29634, _29679], [sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))]]))).
% 116.24/112.36 cnf('1.1.3.1',plain,[-(sdtasdt0(sdtpldt0(xR, xS), sdtpldt0(xR, xS)) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, xS)), sdtpldt0(sdtasdt0(xS, xR), sdtasdt0(xS, xS)))), aScalar0(xR), aScalar0(xS), aScalar0(xR), aScalar0(xS)],extension(5,bind([[_43717, _43816, _43914, _44011], [xR, xS, xR, xS]]))).
% 116.24/112.36 cnf('1.1.3.1.1',plain,[-(aScalar0(xR))],extension(6)).
% 116.24/112.36 cnf('1.1.3.1.2',plain,[-(aScalar0(xS))],extension(8)).
% 116.24/112.36 cnf('1.1.3.1.3',plain,[-(aScalar0(xR))],extension(6)).
% 116.24/112.36 cnf('1.1.3.1.4',plain,[-(aScalar0(xS))],extension(8)).
% 116.24/112.36 %-----------------------------------------------------
% 116.24/112.36
% 116.24/112.37 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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