TSTP Solution File: RNG123+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : RNG123+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 20:33:53 EDT 2022
% Result : Theorem 113.10s 110.00s
% Output : Proof 113.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG123+4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n026.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 11:41:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 113.10/110.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.10/110.01 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 113.10/110.01
% 113.10/110.01 %-----------------------------------------------------
% 113.10/110.01 fof(m__, conjecture, ? [_127456, _127459] : (aElementOf0(_127456, slsdtgt0(xa)) & aElementOf0(_127459, slsdtgt0(xb)) & sdtpldt0(_127456, _127459) = xr) | aElementOf0(xr, xI), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 113.10/110.01 fof(mDefIdeal, definition, ! [_127793] : (aIdeal0(_127793) <=> aSet0(_127793) & ! [_127815] : (aElementOf0(_127815, _127793) => ! [_127833] : (aElementOf0(_127833, _127793) => aElementOf0(sdtpldt0(_127815, _127833), _127793)) & ! [_127833] : (aElement0(_127833) => aElementOf0(sdtasdt0(_127833, _127815), _127793)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefIdeal)).
% 113.10/110.01 fof(m__2174, hypothesis, aSet0(xI) & ! [_128257] : (aElementOf0(_128257, xI) => ! [_128275] : (aElementOf0(_128275, xI) => aElementOf0(sdtpldt0(_128257, _128275), xI)) & ! [_128275] : (aElement0(_128275) => aElementOf0(sdtasdt0(_128275, _128257), xI))) & aIdeal0(xI) & ! [_128257] : (aElementOf0(_128257, slsdtgt0(xa)) <=> ? [_128275] : (aElement0(_128275) & sdtasdt0(xa, _128275) = _128257)) & ! [_128257] : (aElementOf0(_128257, slsdtgt0(xb)) <=> ? [_128275] : (aElement0(_128275) & sdtasdt0(xb, _128275) = _128257)) & ! [_128257] : (aElementOf0(_128257, xI) <=> ? [_128275, _128463] : (aElementOf0(_128275, slsdtgt0(xa)) & aElementOf0(_128463, slsdtgt0(xb)) & sdtpldt0(_128275, _128463) = _128257)) & xI = sdtpldt1(slsdtgt0(xa), slsdtgt0(xb)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2174)).
% 113.10/110.01 fof(m__2690, hypothesis, ? [_129238, _129241] : (aElementOf0(_129238, slsdtgt0(xa)) & aElementOf0(_129241, slsdtgt0(xb)) & sdtpldt0(_129238, _129241) = smndt0(sdtasdt0(xq, xu))) & aElementOf0(smndt0(sdtasdt0(xq, xu)), xI), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2690)).
% 113.10/110.01 fof(m__2699, hypothesis, ? [_129526, _129529] : (aElementOf0(_129526, slsdtgt0(xa)) & aElementOf0(_129529, slsdtgt0(xb)) & sdtpldt0(_129526, _129529) = xb) & ? [_129526, _129529] : (aElementOf0(_129526, slsdtgt0(xa)) & aElementOf0(_129529, slsdtgt0(xb)) & sdtpldt0(_129526, _129529) = xb) & aElementOf0(xb, xI), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2699)).
% 113.10/110.01 fof(m__2718, hypothesis, xr = sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__2718)).
% 113.10/110.01
% 113.10/110.01 cnf(1, plain, [aElementOf0(xr, xI)], clausify(m__)).
% 113.10/110.01 cnf(2, plain, [-(_37202 = _37202)], theory(equality)).
% 113.10/110.01 cnf(3, plain, [_37355 = _37400, -(_37400 = _37355)], theory(equality)).
% 113.10/110.01 cnf(4, plain, [-(aElementOf0(_39130, _39261)), aElementOf0(_39063, _39196), _39063 = _39130, _39196 = _39261], theory(equality)).
% 113.10/110.01 cnf(5, plain, [aIdeal0(_59300), aElementOf0(_59464, _59300), aElementOf0(_59610, _59300), -(aElementOf0(sdtpldt0(_59464, _59610), _59300))], clausify(mDefIdeal)).
% 113.10/110.01 cnf(6, plain, [-(aIdeal0(xI))], clausify(m__2174)).
% 113.10/110.01 cnf(7, plain, [-(aElementOf0(smndt0(sdtasdt0(xq, xu)), xI))], clausify(m__2690)).
% 113.10/110.01 cnf(8, plain, [-(aElementOf0(xb, xI))], clausify(m__2699)).
% 113.10/110.01 cnf(9, plain, [-(xr = sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb))], clausify(m__2718)).
% 113.10/110.01
% 113.10/110.01 cnf('1',plain,[aElementOf0(xr, xI)],start(1)).
% 113.10/110.01 cnf('1.1',plain,[-(aElementOf0(xr, xI)), aElementOf0(sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb), xI), sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb) = xr, xI = xI],extension(4,bind([[_39063, _39130, _39196, _39261], [sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb), xr, xI, xI]]))).
% 113.10/110.01 cnf('1.1.1',plain,[-(aElementOf0(sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb), xI)), aIdeal0(xI), aElementOf0(smndt0(sdtasdt0(xq, xu)), xI), aElementOf0(xb, xI)],extension(5,bind([[_59464, _59610, _59300], [smndt0(sdtasdt0(xq, xu)), xb, xI]]))).
% 113.10/110.01 cnf('1.1.1.1',plain,[-(aIdeal0(xI))],extension(6)).
% 113.10/110.01 cnf('1.1.1.2',plain,[-(aElementOf0(smndt0(sdtasdt0(xq, xu)), xI))],extension(7)).
% 113.10/110.01 cnf('1.1.1.3',plain,[-(aElementOf0(xb, xI))],extension(8)).
% 113.10/110.01 cnf('1.1.2',plain,[-(sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb) = xr), xr = sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb)],extension(3,bind([[_37355, _37400], [xr, sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb)]]))).
% 113.10/110.01 cnf('1.1.2.1',plain,[-(xr = sdtpldt0(smndt0(sdtasdt0(xq, xu)), xb))],extension(9)).
% 113.10/110.01 cnf('1.1.3',plain,[-(xI = xI)],extension(2,bind([[_37202], [xI]]))).
% 113.10/110.01 %-----------------------------------------------------
% 113.13/110.02
% 113.13/110.02 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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