TSTP Solution File: RNG060+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG060+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 20:33:43 EDT 2022
% Result : Theorem 30.03s 29.43s
% Output : Proof 30.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG060+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n021.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 05:48:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 30.03/29.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.03/29.44 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.03/29.44
% 30.03/29.44 %-----------------------------------------------------
% 30.03/29.44 fof(mDistr, axiom, ! [_92552, _92555, _92558] : (aScalar0(_92552) & aScalar0(_92555) & aScalar0(_92558) => sdtasdt0(_92552, sdtpldt0(_92555, _92558)) = sdtpldt0(sdtasdt0(_92552, _92555), sdtasdt0(_92552, _92558)) & sdtasdt0(sdtpldt0(_92552, _92555), _92558) = sdtpldt0(sdtasdt0(_92552, _92558), sdtasdt0(_92555, _92558))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDistr)).
% 30.03/29.44 fof(mArith, axiom, ! [_92935, _92938, _92941] : (aScalar0(_92935) & aScalar0(_92938) & aScalar0(_92941) => sdtpldt0(sdtpldt0(_92935, _92938), _92941) = sdtpldt0(_92935, sdtpldt0(_92938, _92941)) & sdtpldt0(_92935, _92938) = sdtpldt0(_92938, _92935) & sdtasdt0(sdtasdt0(_92935, _92938), _92941) = sdtasdt0(_92935, sdtasdt0(_92938, _92941)) & sdtasdt0(_92935, _92938) = sdtasdt0(_92938, _92935)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mArith)).
% 30.03/29.44 fof(m__, conjecture, sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 30.03/29.44 fof(mSZeroSc, axiom, aScalar0(sz0z00), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSZeroSc)).
% 30.03/29.44 fof(mSumSc, axiom, ! [_93632, _93635] : (aScalar0(_93632) & aScalar0(_93635) => aScalar0(sdtpldt0(_93632, _93635))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSumSc)).
% 30.03/29.44 fof(mNegSc, axiom, ! [_93802] : (aScalar0(_93802) => aScalar0(smndt0(_93802))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mNegSc)).
% 30.03/29.44 fof(mMDNeg, axiom, ! [_93958, _93961] : (aScalar0(_93958) & aScalar0(_93961) => sdtasdt0(smndt0(_93958), smndt0(_93961)) = sdtasdt0(_93958, _93961)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mMDNeg)).
% 30.03/29.44 fof(m__1892, hypothesis, aScalar0(xR) & xR = sdtasdt0(xC, xG), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1892)).
% 30.03/29.44 fof(m__1930, hypothesis, aScalar0(xS) & xS = sdtasdt0(xF, xD), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1930)).
% 30.03/29.44 fof(m__2144, hypothesis, sdtasdt0(xR, smndt0(xS)) = smndt0(xN) & sdtasdt0(smndt0(xS), xR) = smndt0(xN) & sdtasdt0(smndt0(xS), smndt0(xS)) = sdtasdt0(xS, xS), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__2144)).
% 30.03/29.44
% 30.03/29.44 cnf(1, plain, [-(6 ^ [_41821, _41727, _41632]), -(sdtasdt0(sdtpldt0(_41632, _41727), _41821) = sdtpldt0(sdtasdt0(_41632, _41821), sdtasdt0(_41727, _41821)))], clausify(mDistr)).
% 30.03/29.44 cnf(2, plain, [-(6 ^ [_41821, _41727, _41632]), -(sdtasdt0(_41632, sdtpldt0(_41727, _41821)) = sdtpldt0(sdtasdt0(_41632, _41727), sdtasdt0(_41632, _41821)))], clausify(mDistr)).
% 30.03/29.44 cnf(3, plain, [-(5 ^ [_40542, _40430, _40317]), -(sdtasdt0(_40317, _40430) = sdtasdt0(_40430, _40317))], clausify(mArith)).
% 30.03/29.44 cnf(4, plain, [-(5 ^ [_40542, _40430, _40317]), -(sdtpldt0(_40317, _40430) = sdtpldt0(_40430, _40317))], clausify(mArith)).
% 30.03/29.44 cnf(5, plain, [sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))], clausify(m__)).
% 30.03/29.44 cnf(6, plain, [-(sdtpldt0(_33844, _33977) = sdtpldt0(_33911, _34042)), _33844 = _33911, _33977 = _34042], theory(equality)).
% 30.03/29.44 cnf(7, plain, [-(_28867 = _28978), _28867 = _28923, _28923 = _28978], theory(equality)).
% 30.03/29.44 cnf(8, plain, [-(aScalar0(_29721)), _29672 = _29721, aScalar0(_29672)], theory(equality)).
% 30.03/29.44 cnf(9, plain, [-(aScalar0(sz0z00))], clausify(mSZeroSc)).
% 30.03/29.44 cnf(10, plain, [-(aScalar0(sdtpldt0(_38232, _38283))), aScalar0(_38232), aScalar0(_38283)], clausify(mSumSc)).
% 30.03/29.44 cnf(11, plain, [aScalar0(_38972), -(aScalar0(smndt0(_38972)))], clausify(mNegSc)).
% 30.03/29.44 cnf(12, plain, [5 ^ [_40542, _40430, _40317], aScalar0(_40317), aScalar0(_40430), aScalar0(_40542)], clausify(mArith)).
% 30.03/29.44 cnf(13, plain, [6 ^ [_41821, _41727, _41632], aScalar0(_41632), aScalar0(_41727), aScalar0(_41821)], clausify(mDistr)).
% 30.03/29.44 cnf(14, plain, [-(sdtasdt0(smndt0(_44492), smndt0(_44551)) = sdtasdt0(_44492, _44551)), aScalar0(_44492), aScalar0(_44551)], clausify(mMDNeg)).
% 30.03/29.44 cnf(15, plain, [-(aScalar0(xR))], clausify(m__1892)).
% 30.03/29.44 cnf(16, plain, [-(aScalar0(xS))], clausify(m__1930)).
% 30.03/29.44 cnf(17, plain, [-(sdtasdt0(xR, smndt0(xS)) = smndt0(xN))], clausify(m__2144)).
% 30.03/29.44 cnf(18, plain, [-(sdtasdt0(smndt0(xS), xR) = smndt0(xN))], clausify(m__2144)).
% 30.03/29.44
% 30.03/29.44 cnf('1',plain,[sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))],start(5)).
% 30.03/29.44 cnf('1.1',plain,[-(sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))), sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))), sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))],extension(7,bind([[_28867, _28923, _28978], [sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))), sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))]]))).
% 30.03/29.44 cnf('1.1.1',plain,[-(sdtasdt0(sdtpldt0(xR, smndt0(xS)), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))))), -(6 ^ [sdtpldt0(xR, smndt0(xS)), smndt0(xS), xR])],extension(1,bind([[_41821, _41727, _41632], [sdtpldt0(xR, smndt0(xS)), smndt0(xS), xR]]))).
% 30.03/29.44 cnf('1.1.1.1',plain,[6 ^ [sdtpldt0(xR, smndt0(xS)), smndt0(xS), xR], aScalar0(xR), aScalar0(smndt0(xS)), aScalar0(sdtpldt0(xR, smndt0(xS)))],extension(13,bind([[_41632, _41727, _41821], [xR, smndt0(xS), sdtpldt0(xR, smndt0(xS))]]))).
% 30.03/29.44 cnf('1.1.1.1.1',plain,[-(aScalar0(xR))],extension(15)).
% 30.03/29.44 cnf('1.1.1.1.2',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(11,bind([[_38972], [xS]]))).
% 30.03/29.44 cnf('1.1.1.1.2.1',plain,[-(aScalar0(xS))],extension(16)).
% 30.03/29.44 cnf('1.1.1.1.3',plain,[-(aScalar0(sdtpldt0(xR, smndt0(xS)))), sdtpldt0(smndt0(xS), xR) = sdtpldt0(xR, smndt0(xS)), aScalar0(sdtpldt0(smndt0(xS), xR))],extension(8,bind([[_29721, _29672], [sdtpldt0(xR, smndt0(xS)), sdtpldt0(smndt0(xS), xR)]]))).
% 30.03/29.45 cnf('1.1.1.1.3.1',plain,[-(sdtpldt0(smndt0(xS), xR) = sdtpldt0(xR, smndt0(xS))), -(5 ^ [sz0z00, xR, smndt0(xS)])],extension(4,bind([[_40542, _40430, _40317], [sz0z00, xR, smndt0(xS)]]))).
% 30.03/29.45 cnf('1.1.1.1.3.1.1',plain,[5 ^ [sz0z00, xR, smndt0(xS)], aScalar0(smndt0(xS)), aScalar0(xR), aScalar0(sz0z00)],extension(12,bind([[_40317, _40430, _40542], [smndt0(xS), xR, sz0z00]]))).
% 30.03/29.45 cnf('1.1.1.1.3.1.1.1',plain,[-(aScalar0(smndt0(xS)))],lemmata('1.1.1.1')).
% 30.03/29.45 cnf('1.1.1.1.3.1.1.2',plain,[-(aScalar0(xR))],extension(15)).
% 30.03/29.45 cnf('1.1.1.1.3.1.1.3',plain,[-(aScalar0(sz0z00))],extension(9)).
% 30.03/29.45 cnf('1.1.1.1.3.2',plain,[-(aScalar0(sdtpldt0(smndt0(xS), xR))), aScalar0(smndt0(xS)), aScalar0(xR)],extension(10,bind([[_38232, _38283], [smndt0(xS), xR]]))).
% 30.03/29.45 cnf('1.1.1.1.3.2.1',plain,[-(aScalar0(smndt0(xS)))],lemmata('1.1.1.1')).
% 30.03/29.45 cnf('1.1.1.1.3.2.2',plain,[-(aScalar0(xR))],extension(15)).
% 30.03/29.45 cnf('1.1.2',plain,[-(sdtpldt0(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS)))) = sdtpldt0(sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS)))), sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))],extension(6,bind([[_33844, _33911, _33977, _34042], [sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(xR, xR), smndt0(xN)), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))]]))).
% 30.03/29.45 cnf('1.1.2.1',plain,[-(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))), sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))],extension(7,bind([[_28867, _28923, _28978], [sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))]]))).
% 30.03/29.45 cnf('1.1.2.1.1',plain,[-(sdtasdt0(xR, sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS)))), -(6 ^ [smndt0(xS), xR, xR])],extension(2,bind([[_41821, _41727, _41632], [smndt0(xS), xR, xR]]))).
% 30.03/29.45 cnf('1.1.2.1.1.1',plain,[6 ^ [smndt0(xS), xR, xR], aScalar0(xR), aScalar0(xR), aScalar0(smndt0(xS))],extension(13,bind([[_41632, _41727, _41821], [xR, xR, smndt0(xS)]]))).
% 30.03/29.45 cnf('1.1.2.1.1.1.1',plain,[-(aScalar0(xR))],extension(15)).
% 30.03/29.45 cnf('1.1.2.1.1.1.2',plain,[-(aScalar0(xR))],extension(15)).
% 30.03/29.45 cnf('1.1.2.1.1.1.3',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(11,bind([[_38972], [xS]]))).
% 30.03/29.45 cnf('1.1.2.1.1.1.3.1',plain,[-(aScalar0(xS))],extension(16)).
% 30.03/29.45 cnf('1.1.2.1.2',plain,[-(sdtpldt0(sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(xR, xR), smndt0(xN))), sdtasdt0(xR, xR) = sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS)) = smndt0(xN)],extension(6,bind([[_33844, _33911, _33977, _34042], [sdtasdt0(xR, xR), sdtasdt0(xR, xR), sdtasdt0(xR, smndt0(xS)), smndt0(xN)]]))).
% 30.03/29.45 cnf('1.1.2.1.2.1',plain,[-(sdtasdt0(xR, xR) = sdtasdt0(xR, xR)), -(5 ^ [sz0z00, xR, xR])],extension(3,bind([[_40542, _40430, _40317], [sz0z00, xR, xR]]))).
% 30.03/29.45 cnf('1.1.2.1.2.1.1',plain,[5 ^ [sz0z00, xR, xR], aScalar0(xR), aScalar0(xR), aScalar0(sz0z00)],extension(12,bind([[_40317, _40430, _40542], [xR, xR, sz0z00]]))).
% 30.03/29.45 cnf('1.1.2.1.2.1.1.1',plain,[-(aScalar0(xR))],extension(15)).
% 30.03/29.45 cnf('1.1.2.1.2.1.1.2',plain,[-(aScalar0(xR))],extension(15)).
% 30.03/29.45 cnf('1.1.2.1.2.1.1.3',plain,[-(aScalar0(sz0z00))],extension(9)).
% 30.03/29.45 cnf('1.1.2.1.2.2',plain,[-(sdtasdt0(xR, smndt0(xS)) = smndt0(xN))],extension(17)).
% 30.03/29.45 cnf('1.1.2.2',plain,[-(sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))), sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS))), sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))],extension(7,bind([[_28867, _28923, _28978], [sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))), sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS))), sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))]]))).
% 30.03/29.45 cnf('1.1.2.2.1',plain,[-(sdtasdt0(smndt0(xS), sdtpldt0(xR, smndt0(xS))) = sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS)))), -(6 ^ [smndt0(xS), xR, smndt0(xS)])],extension(2,bind([[_41821, _41727, _41632], [smndt0(xS), xR, smndt0(xS)]]))).
% 30.03/29.45 cnf('1.1.2.2.1.1',plain,[6 ^ [smndt0(xS), xR, smndt0(xS)], aScalar0(smndt0(xS)), aScalar0(xR), aScalar0(smndt0(xS))],extension(13,bind([[_41632, _41727, _41821], [smndt0(xS), xR, smndt0(xS)]]))).
% 30.03/29.45 cnf('1.1.2.2.1.1.1',plain,[-(aScalar0(smndt0(xS))), aScalar0(xS)],extension(11,bind([[_38972], [xS]]))).
% 30.03/29.45 cnf('1.1.2.2.1.1.1.1',plain,[-(aScalar0(xS))],extension(16)).
% 30.03/29.45 cnf('1.1.2.2.1.1.2',plain,[-(aScalar0(xR))],extension(15)).
% 30.03/29.45 cnf('1.1.2.2.1.1.3',plain,[-(aScalar0(smndt0(xS)))],lemmata('1.1.2.2.1.1')).
% 30.03/29.45 cnf('1.1.2.2.2',plain,[-(sdtpldt0(sdtasdt0(smndt0(xS), xR), sdtasdt0(smndt0(xS), smndt0(xS))) = sdtpldt0(smndt0(xN), sdtasdt0(xS, xS))), sdtasdt0(smndt0(xS), xR) = smndt0(xN), sdtasdt0(smndt0(xS), smndt0(xS)) = sdtasdt0(xS, xS)],extension(6,bind([[_33844, _33911, _33977, _34042], [sdtasdt0(smndt0(xS), xR), smndt0(xN), sdtasdt0(smndt0(xS), smndt0(xS)), sdtasdt0(xS, xS)]]))).
% 30.03/29.45 cnf('1.1.2.2.2.1',plain,[-(sdtasdt0(smndt0(xS), xR) = smndt0(xN))],extension(18)).
% 30.03/29.45 cnf('1.1.2.2.2.2',plain,[-(sdtasdt0(smndt0(xS), smndt0(xS)) = sdtasdt0(xS, xS)), aScalar0(xS), aScalar0(xS)],extension(14,bind([[_44492, _44551], [xS, xS]]))).
% 30.03/29.45 cnf('1.1.2.2.2.2.1',plain,[-(aScalar0(xS))],extension(16)).
% 30.03/29.45 cnf('1.1.2.2.2.2.2',plain,[-(aScalar0(xS))],extension(16)).
% 30.03/29.45 %-----------------------------------------------------
% 30.03/29.45
% 30.03/29.45 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------