TSTP Solution File: COM023+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : COM023+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n007.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 : Fri Jul 15 01:27:52 EDT 2022
% Result : Theorem 19.69s 20.04s
% Output : Proof 19.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM023+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n007.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 : Thu Jun 16 18:30:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 19.69/20.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.69/20.05 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 19.69/20.06
% 19.69/20.06 %-----------------------------------------------------
% 19.69/20.06 fof(m__, conjecture, isConfluent0(xR), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 19.69/20.06 fof(mTCRDef, definition, ! [_63533, _63536, _63539] : (aElement0(_63533) & aRewritingSystem0(_63536) & aElement0(_63539) => (sdtmndtasgtdt0(_63533, _63536, _63539) <=> _63533 = _63539 | sdtmndtplgtdt0(_63533, _63536, _63539))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mTCRDef)).
% 19.69/20.06 fof(mTCRTrans, axiom, ! [_63793, _63796, _63799, _63802] : (aElement0(_63793) & aRewritingSystem0(_63796) & aElement0(_63799) & aElement0(_63802) => sdtmndtasgtdt0(_63793, _63796, _63799) & sdtmndtasgtdt0(_63799, _63796, _63802) => sdtmndtasgtdt0(_63793, _63796, _63802)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mTCRTrans)).
% 19.69/20.06 fof(mCRDef, definition, ! [_64094] : (aRewritingSystem0(_64094) => (isConfluent0(_64094) <=> ! [_64116, _64119, _64122] : (aElement0(_64116) & aElement0(_64119) & aElement0(_64122) & sdtmndtasgtdt0(_64116, _64094, _64119) & sdtmndtasgtdt0(_64116, _64094, _64122) => ? [_64177] : (aElement0(_64177) & sdtmndtasgtdt0(_64119, _64094, _64177) & sdtmndtasgtdt0(_64122, _64094, _64177))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mCRDef)).
% 19.69/20.06 fof(m__656, hypothesis, aRewritingSystem0(xR), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__656)).
% 19.69/20.06 fof(m__715, hypothesis, ! [_64652, _64655, _64658] : (aElement0(_64652) & aElement0(_64655) & aElement0(_64658) & sdtmndtasgtdt0(_64652, xR, _64655) & sdtmndtasgtdt0(_64652, xR, _64658) => ? [_64713] : (aElement0(_64713) & sdtmndtasgtdt0(_64655, xR, _64713) & sdtmndtasgtdt0(_64658, xR, _64713))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__715)).
% 19.69/20.06
% 19.69/20.06 cnf(1, plain, [isConfluent0(xR)], clausify(m__)).
% 19.69/20.06 cnf(2, plain, [-(_13234 = _13234)], theory(equality)).
% 19.69/20.06 cnf(3, plain, [aElement0(_24894), aRewritingSystem0(_24822), aElement0(_24749), -(sdtmndtasgtdt0(_24749, _24822, _24894)), _24749 = _24894], clausify(mTCRDef)).
% 19.69/20.06 cnf(4, plain, [sdtmndtasgtdt0(_25673, _25590, _25755), sdtmndtasgtdt0(_25506, _25590, _25673), -(sdtmndtasgtdt0(_25506, _25590, _25755)), aElement0(_25506), aRewritingSystem0(_25590), aElement0(_25673), aElement0(_25755)], clausify(mTCRTrans)).
% 19.69/20.06 cnf(5, plain, [aRewritingSystem0(_26477), -(isConfluent0(_26477)), -(aElement0(3 ^ [_26477]))], clausify(mCRDef)).
% 19.69/20.06 cnf(6, plain, [aRewritingSystem0(_26477), -(isConfluent0(_26477)), -(aElement0(4 ^ [_26477]))], clausify(mCRDef)).
% 19.69/20.06 cnf(7, plain, [aRewritingSystem0(_26477), -(isConfluent0(_26477)), -(aElement0(5 ^ [_26477]))], clausify(mCRDef)).
% 19.69/20.06 cnf(8, plain, [aRewritingSystem0(_26477), -(isConfluent0(_26477)), -(sdtmndtasgtdt0(3 ^ [_26477], _26477, 4 ^ [_26477]))], clausify(mCRDef)).
% 19.69/20.06 cnf(9, plain, [aRewritingSystem0(_26477), -(isConfluent0(_26477)), -(sdtmndtasgtdt0(3 ^ [_26477], _26477, 5 ^ [_26477]))], clausify(mCRDef)).
% 19.69/20.06 cnf(10, plain, [aRewritingSystem0(_26477), -(isConfluent0(_26477)), aElement0(_35289), sdtmndtasgtdt0(4 ^ [_26477], _26477, _35289), sdtmndtasgtdt0(5 ^ [_26477], _26477, _35289)], clausify(mCRDef)).
% 19.69/20.06 cnf(11, plain, [-(aRewritingSystem0(xR))], clausify(m__656)).
% 19.69/20.06 cnf(12, plain, [-(aElement0(14 ^ [_31623, _31533, _31442])), aElement0(_31442), aElement0(_31533), aElement0(_31623), sdtmndtasgtdt0(_31442, xR, _31533), sdtmndtasgtdt0(_31442, xR, _31623)], clausify(m__715)).
% 19.69/20.06 cnf(13, plain, [-(sdtmndtasgtdt0(_31533, xR, 14 ^ [_31623, _31533, _31442])), aElement0(_31442), aElement0(_31533), aElement0(_31623), sdtmndtasgtdt0(_31442, xR, _31533), sdtmndtasgtdt0(_31442, xR, _31623)], clausify(m__715)).
% 19.69/20.06 cnf(14, plain, [-(sdtmndtasgtdt0(_31623, xR, 14 ^ [_31623, _31533, _31442])), aElement0(_31442), aElement0(_31533), aElement0(_31623), sdtmndtasgtdt0(_31442, xR, _31533), sdtmndtasgtdt0(_31442, xR, _31623)], clausify(m__715)).
% 19.69/20.06
% 19.69/20.06 cnf('1',plain,[isConfluent0(xR)],start(1)).
% 19.69/20.06 cnf('1.1',plain,[-(isConfluent0(xR)), aRewritingSystem0(xR), -(sdtmndtasgtdt0(3 ^ [xR], xR, 4 ^ [xR]))],extension(8,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2',plain,[sdtmndtasgtdt0(3 ^ [xR], xR, 4 ^ [xR]), -(sdtmndtasgtdt0(5 ^ [xR], xR, 14 ^ [4 ^ [xR], 5 ^ [xR], 3 ^ [xR]])), aElement0(3 ^ [xR]), aElement0(5 ^ [xR]), aElement0(4 ^ [xR]), sdtmndtasgtdt0(3 ^ [xR], xR, 5 ^ [xR])],extension(13,bind([[_31623, _31442, _31533], [4 ^ [xR], 3 ^ [xR], 5 ^ [xR]]]))).
% 19.69/20.06 cnf('1.1.2.1',plain,[sdtmndtasgtdt0(5 ^ [xR], xR, 14 ^ [4 ^ [xR], 5 ^ [xR], 3 ^ [xR]]), aRewritingSystem0(xR), -(isConfluent0(xR)), aElement0(14 ^ [4 ^ [xR], 5 ^ [xR], 3 ^ [xR]]), sdtmndtasgtdt0(4 ^ [xR], xR, 14 ^ [4 ^ [xR], 5 ^ [xR], 3 ^ [xR]])],extension(10,bind([[_26477, _35289], [xR, 14 ^ [4 ^ [xR], 5 ^ [xR], 3 ^ [xR]]]]))).
% 19.69/20.06 cnf('1.1.2.1.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.1.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.1.3',plain,[-(aElement0(14 ^ [4 ^ [xR], 5 ^ [xR], 3 ^ [xR]])), aElement0(3 ^ [xR]), aElement0(5 ^ [xR]), aElement0(4 ^ [xR]), sdtmndtasgtdt0(3 ^ [xR], xR, 5 ^ [xR]), sdtmndtasgtdt0(3 ^ [xR], xR, 4 ^ [xR])],extension(12,bind([[_31533, _31442, _31623], [5 ^ [xR], 3 ^ [xR], 4 ^ [xR]]]))).
% 19.69/20.06 cnf('1.1.2.1.3.1',plain,[-(aElement0(3 ^ [xR])), aRewritingSystem0(xR), -(isConfluent0(xR))],extension(5,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.2.1.3.1.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.1.3.1.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.1.3.2',plain,[-(aElement0(5 ^ [xR])), aRewritingSystem0(xR), -(isConfluent0(xR))],extension(7,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.2.1.3.2.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.1.3.2.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.1.3.3',plain,[-(aElement0(4 ^ [xR])), aRewritingSystem0(xR), -(isConfluent0(xR))],extension(6,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.2.1.3.3.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.1.3.3.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.1.3.4',plain,[-(sdtmndtasgtdt0(3 ^ [xR], xR, 5 ^ [xR])), aRewritingSystem0(xR), -(isConfluent0(xR))],extension(9,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.2.1.3.4.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.1.3.4.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.1.3.5',plain,[-(sdtmndtasgtdt0(3 ^ [xR], xR, 4 ^ [xR]))],reduction('1.1')).
% 19.69/20.06 cnf('1.1.2.1.4',plain,[-(sdtmndtasgtdt0(4 ^ [xR], xR, 14 ^ [4 ^ [xR], 5 ^ [xR], 3 ^ [xR]])), aElement0(3 ^ [xR]), aElement0(5 ^ [xR]), aElement0(4 ^ [xR]), sdtmndtasgtdt0(3 ^ [xR], xR, 5 ^ [xR]), sdtmndtasgtdt0(3 ^ [xR], xR, 4 ^ [xR])],extension(14,bind([[_31533, _31442, _31623], [5 ^ [xR], 3 ^ [xR], 4 ^ [xR]]]))).
% 19.69/20.06 cnf('1.1.2.1.4.1',plain,[-(aElement0(3 ^ [xR])), aRewritingSystem0(xR), -(isConfluent0(xR))],extension(5,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.2.1.4.1.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.1.4.1.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.1.4.2',plain,[-(aElement0(5 ^ [xR])), aRewritingSystem0(xR), -(isConfluent0(xR))],extension(7,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.2.1.4.2.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.1.4.2.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.1.4.3',plain,[-(aElement0(4 ^ [xR])), aRewritingSystem0(xR), -(isConfluent0(xR))],extension(6,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.2.1.4.3.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.1.4.3.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.1.4.4',plain,[-(sdtmndtasgtdt0(3 ^ [xR], xR, 5 ^ [xR])), aRewritingSystem0(xR), -(isConfluent0(xR))],extension(9,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.2.1.4.4.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.1.4.4.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.1.4.5',plain,[-(sdtmndtasgtdt0(3 ^ [xR], xR, 4 ^ [xR]))],reduction('1.1')).
% 19.69/20.06 cnf('1.1.2.2',plain,[-(aElement0(3 ^ [xR])), aRewritingSystem0(xR), -(isConfluent0(xR))],extension(5,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.2.2.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.2.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.3',plain,[-(aElement0(5 ^ [xR])), aRewritingSystem0(xR), -(isConfluent0(xR))],extension(7,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.2.3.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.3.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.4',plain,[-(aElement0(4 ^ [xR])), aRewritingSystem0(xR), -(isConfluent0(xR))],extension(6,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.2.4.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.4.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.5',plain,[-(sdtmndtasgtdt0(3 ^ [xR], xR, 5 ^ [xR])), sdtmndtasgtdt0(3 ^ [xR], xR, 5 ^ [xR]), sdtmndtasgtdt0(3 ^ [xR], xR, 3 ^ [xR]), aElement0(3 ^ [xR]), aRewritingSystem0(xR), aElement0(3 ^ [xR]), aElement0(5 ^ [xR])],extension(4,bind([[_25506, _25590, _25673, _25755], [3 ^ [xR], xR, 3 ^ [xR], 5 ^ [xR]]]))).
% 19.69/20.06 cnf('1.1.2.5.1',plain,[-(sdtmndtasgtdt0(3 ^ [xR], xR, 5 ^ [xR])), aRewritingSystem0(xR), -(isConfluent0(xR))],extension(9,bind([[_26477], [xR]]))).
% 19.69/20.06 cnf('1.1.2.5.1.1',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.5.1.2',plain,[isConfluent0(xR)],extension(1)).
% 19.69/20.06 cnf('1.1.2.5.2',plain,[-(sdtmndtasgtdt0(3 ^ [xR], xR, 3 ^ [xR])), aElement0(3 ^ [xR]), aRewritingSystem0(xR), aElement0(3 ^ [xR]), 3 ^ [xR] = 3 ^ [xR]],extension(3,bind([[_24822, _24749, _24894], [xR, 3 ^ [xR], 3 ^ [xR]]]))).
% 19.69/20.06 cnf('1.1.2.5.2.1',plain,[-(aElement0(3 ^ [xR]))],lemmata('1.1.2')).
% 19.69/20.06 cnf('1.1.2.5.2.2',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.5.2.3',plain,[-(aElement0(3 ^ [xR]))],lemmata('1.1.2.5.2')).
% 19.69/20.06 cnf('1.1.2.5.2.4',plain,[-(3 ^ [xR] = 3 ^ [xR])],extension(2,bind([[_13234], [3 ^ [xR]]]))).
% 19.69/20.06 cnf('1.1.2.5.3',plain,[-(aElement0(3 ^ [xR]))],lemmata('1.1.2')).
% 19.69/20.06 cnf('1.1.2.5.4',plain,[-(aRewritingSystem0(xR))],extension(11)).
% 19.69/20.06 cnf('1.1.2.5.5',plain,[-(aElement0(3 ^ [xR]))],lemmata('1.1.2.5')).
% 19.69/20.06 cnf('1.1.2.5.6',plain,[-(aElement0(5 ^ [xR]))],lemmata('1.1.2')).
% 19.69/20.06 %-----------------------------------------------------
% 19.69/20.06
% 19.69/20.06 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------