TSTP Solution File: RNG095+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG095+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 20:33:49 EDT 2022
% Result : Theorem 113.14s 109.96s
% Output : Proof 113.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : RNG095+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon May 30 14:06:44 EDT 2022
% 0.12/0.33 % CPUTime :
% 113.14/109.96 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.14/109.96 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 113.14/109.97
% 113.14/109.97 %-----------------------------------------------------
% 113.14/109.97 fof(m__, conjecture, ? [_60416, _60419] : (aElementOf0(_60416, xI) & aElementOf0(_60419, xJ) & sdtpldt0(_60416, _60419) = sz10), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 113.14/109.97 fof(mSortsC_01, axiom, aElement0(sz10), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mSortsC_01)).
% 113.14/109.97 fof(mDefSSum, definition, ! [_60701, _60704] : (aSet0(_60701) & aSet0(_60704) => ! [_60726] : (_60726 = sdtpldt1(_60701, _60704) <=> aSet0(_60726) & ! [_60754] : (aElementOf0(_60754, _60726) <=> ? [_60772, _60775] : (aElementOf0(_60772, _60701) & aElementOf0(_60775, _60704) & sdtpldt0(_60772, _60775) = _60754)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefSSum)).
% 113.14/109.97 fof(mDefIdeal, definition, ! [_61160] : (aIdeal0(_61160) <=> aSet0(_61160) & ! [_61182] : (aElementOf0(_61182, _61160) => ! [_61200] : (aElementOf0(_61200, _61160) => aElementOf0(sdtpldt0(_61182, _61200), _61160)) & ! [_61200] : (aElement0(_61200) => aElementOf0(sdtasdt0(_61200, _61182), _61160)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mDefIdeal)).
% 113.14/109.97 fof(m__1205, hypothesis, aIdeal0(xI) & aIdeal0(xJ), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1205)).
% 113.14/109.97 fof(m__1205_03, hypothesis, ! [_61607] : (aElement0(_61607) => aElementOf0(_61607, sdtpldt1(xI, xJ))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__1205_03)).
% 113.14/109.97
% 113.14/109.97 cnf(1, plain, [aElementOf0(_37070, xI), aElementOf0(_37125, xJ), sdtpldt0(_37070, _37125) = sz10], clausify(m__)).
% 113.14/109.97 cnf(2, plain, [-(_16258 = _16258)], theory(equality)).
% 113.14/109.97 cnf(3, plain, [-(aElement0(sz10))], clausify(mSortsC_01)).
% 113.14/109.97 cnf(4, plain, [aSet0(_31732), aSet0(_31628), _31926 = sdtpldt1(_31628, _31732), aElementOf0(_32152, _31926), -(aElementOf0(3 ^ [_32152, _31926, _31732, _31628], _31628))], clausify(mDefSSum)).
% 113.14/109.97 cnf(5, plain, [aSet0(_31732), aSet0(_31628), _31926 = sdtpldt1(_31628, _31732), aElementOf0(_32152, _31926), -(aElementOf0(4 ^ [_32152, _31926, _31732, _31628], _31732))], clausify(mDefSSum)).
% 113.14/109.97 cnf(6, plain, [aSet0(_31732), aSet0(_31628), _31926 = sdtpldt1(_31628, _31732), aElementOf0(_32152, _31926), -(sdtpldt0(3 ^ [_32152, _31926, _31732, _31628], 4 ^ [_32152, _31926, _31732, _31628]) = _32152)], clausify(mDefSSum)).
% 113.14/109.97 cnf(7, plain, [aIdeal0(_33728), -(aSet0(_33728))], clausify(mDefIdeal)).
% 113.14/109.97 cnf(8, plain, [-(aIdeal0(xI))], clausify(m__1205)).
% 113.14/109.97 cnf(9, plain, [-(aIdeal0(xJ))], clausify(m__1205)).
% 113.14/109.97 cnf(10, plain, [aElement0(_36205), -(aElementOf0(_36205, sdtpldt1(xI, xJ)))], clausify(m__1205_03)).
% 113.14/109.97
% 113.14/109.97 cnf('1',plain,[aElementOf0(3 ^ [sz10, sdtpldt1(xI, xJ), xJ, xI], xI), aElementOf0(4 ^ [sz10, sdtpldt1(xI, xJ), xJ, xI], xJ), sdtpldt0(3 ^ [sz10, sdtpldt1(xI, xJ), xJ, xI], 4 ^ [sz10, sdtpldt1(xI, xJ), xJ, xI]) = sz10],start(1,bind([[_37070, _37125], [3 ^ [sz10, sdtpldt1(xI, xJ), xJ, xI], 4 ^ [sz10, sdtpldt1(xI, xJ), xJ, xI]]]))).
% 113.14/109.97 cnf('1.1',plain,[-(aElementOf0(3 ^ [sz10, sdtpldt1(xI, xJ), xJ, xI], xI)), aSet0(xJ), aSet0(xI), sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), aElementOf0(sz10, sdtpldt1(xI, xJ))],extension(4,bind([[_31628, _31732, _32152, _31926], [xI, xJ, sz10, sdtpldt1(xI, xJ)]]))).
% 113.14/109.97 cnf('1.1.1',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(7,bind([[_33728], [xJ]]))).
% 113.14/109.97 cnf('1.1.1.1',plain,[-(aIdeal0(xJ))],extension(9)).
% 113.14/109.97 cnf('1.1.2',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(7,bind([[_33728], [xI]]))).
% 113.14/109.97 cnf('1.1.2.1',plain,[-(aIdeal0(xI))],extension(8)).
% 113.14/109.97 cnf('1.1.3',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2,bind([[_16258], [sdtpldt1(xI, xJ)]]))).
% 113.14/109.97 cnf('1.1.4',plain,[-(aElementOf0(sz10, sdtpldt1(xI, xJ))), aElement0(sz10)],extension(10,bind([[_36205], [sz10]]))).
% 113.14/109.97 cnf('1.1.4.1',plain,[-(aElement0(sz10))],extension(3)).
% 113.14/109.97 cnf('1.2',plain,[-(aElementOf0(4 ^ [sz10, sdtpldt1(xI, xJ), xJ, xI], xJ)), aSet0(xJ), aSet0(xI), sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), aElementOf0(sz10, sdtpldt1(xI, xJ))],extension(5,bind([[_31628, _31732, _32152, _31926], [xI, xJ, sz10, sdtpldt1(xI, xJ)]]))).
% 113.14/109.97 cnf('1.2.1',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(7,bind([[_33728], [xJ]]))).
% 113.14/109.97 cnf('1.2.1.1',plain,[-(aIdeal0(xJ))],extension(9)).
% 113.14/109.97 cnf('1.2.2',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(7,bind([[_33728], [xI]]))).
% 113.14/109.97 cnf('1.2.2.1',plain,[-(aIdeal0(xI))],extension(8)).
% 113.14/109.97 cnf('1.2.3',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2,bind([[_16258], [sdtpldt1(xI, xJ)]]))).
% 113.14/109.97 cnf('1.2.4',plain,[-(aElementOf0(sz10, sdtpldt1(xI, xJ))), aElement0(sz10)],extension(10,bind([[_36205], [sz10]]))).
% 113.14/109.97 cnf('1.2.4.1',plain,[-(aElement0(sz10))],extension(3)).
% 113.14/109.97 cnf('1.3',plain,[-(sdtpldt0(3 ^ [sz10, sdtpldt1(xI, xJ), xJ, xI], 4 ^ [sz10, sdtpldt1(xI, xJ), xJ, xI]) = sz10), aSet0(xJ), aSet0(xI), sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ), aElementOf0(sz10, sdtpldt1(xI, xJ))],extension(6,bind([[_31628, _31732, _32152, _31926], [xI, xJ, sz10, sdtpldt1(xI, xJ)]]))).
% 113.14/109.97 cnf('1.3.1',plain,[-(aSet0(xJ)), aIdeal0(xJ)],extension(7,bind([[_33728], [xJ]]))).
% 113.14/109.97 cnf('1.3.1.1',plain,[-(aIdeal0(xJ))],extension(9)).
% 113.14/109.97 cnf('1.3.2',plain,[-(aSet0(xI)), aIdeal0(xI)],extension(7,bind([[_33728], [xI]]))).
% 113.14/109.97 cnf('1.3.2.1',plain,[-(aIdeal0(xI))],extension(8)).
% 113.14/109.97 cnf('1.3.3',plain,[-(sdtpldt1(xI, xJ) = sdtpldt1(xI, xJ))],extension(2,bind([[_16258], [sdtpldt1(xI, xJ)]]))).
% 113.14/109.97 cnf('1.3.4',plain,[-(aElementOf0(sz10, sdtpldt1(xI, xJ))), aElement0(sz10)],extension(10,bind([[_36205], [sz10]]))).
% 113.14/109.97 cnf('1.3.4.1',plain,[-(aElement0(sz10))],extension(3)).
% 113.14/109.97 %-----------------------------------------------------
% 113.14/109.97
% 113.14/109.98 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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