TSTP Solution File: COM012+3 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n019.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 01:27:47 EDT 2022
% Result : Theorem 1.17s 1.41s
% Output : Proof 1.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n019.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 : Thu Jun 16 19:41:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.17/1.41 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.17/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.17/1.42
% 1.17/1.42 %-----------------------------------------------------
% 1.17/1.42 fof(m__, conjecture, (xx = xy | (aReductOfIn0(xy, xx, xR) | ? [_36385] : (aElement0(_36385) & aReductOfIn0(_36385, xx, xR) & sdtmndtplgtdt0(_36385, xR, xy))) & sdtmndtplgtdt0(xx, xR, xy)) & sdtmndtasgtdt0(xx, xR, xy) & (xy = xz | (aReductOfIn0(xz, xy, xR) | ? [_36385] : (aElement0(_36385) & aReductOfIn0(_36385, xy, xR) & sdtmndtplgtdt0(_36385, xR, xz))) & sdtmndtplgtdt0(xy, xR, xz)) & sdtmndtasgtdt0(xy, xR, xz) => xx = xz | aReductOfIn0(xz, xx, xR) | ? [_36385] : (aElement0(_36385) & aReductOfIn0(_36385, xx, xR) & sdtmndtplgtdt0(_36385, xR, xz)) | sdtmndtplgtdt0(xx, xR, xz) | sdtmndtasgtdt0(xx, xR, xz), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 1.17/1.42 fof(mTCTrans, axiom, ! [_37306, _37309, _37312, _37315] : (aElement0(_37306) & aRewritingSystem0(_37309) & aElement0(_37312) & aElement0(_37315) => sdtmndtplgtdt0(_37306, _37309, _37312) & sdtmndtplgtdt0(_37312, _37309, _37315) => sdtmndtplgtdt0(_37306, _37309, _37315)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mTCTrans)).
% 1.17/1.42 fof(m__349, hypothesis, aElement0(xx) & aRewritingSystem0(xR) & aElement0(xy) & aElement0(xz), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__349)).
% 1.17/1.42 fof(mTCRDef, definition, ! [_37713, _37716, _37719] : (aElement0(_37713) & aRewritingSystem0(_37716) & aElement0(_37719) => (sdtmndtasgtdt0(_37713, _37716, _37719) <=> _37713 = _37719 | sdtmndtplgtdt0(_37713, _37716, _37719))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mTCRDef)).
% 1.17/1.42
% 1.17/1.42 cnf(1, plain, [-(7 ^ []), -(sdtmndtplgtdt0(xy, xR, xz))], clausify(m__)).
% 1.17/1.42 cnf(2, plain, [-(4 ^ []), -(sdtmndtplgtdt0(xx, xR, xy))], clausify(m__)).
% 1.17/1.42 cnf(3, plain, [sdtmndtplgtdt0(xx, xR, xz)], clausify(m__)).
% 1.17/1.42 cnf(4, plain, [sdtmndtasgtdt0(xx, xR, xz)], clausify(m__)).
% 1.17/1.42 cnf(5, plain, [-(xx = xy), 4 ^ []], clausify(m__)).
% 1.17/1.42 cnf(6, plain, [-(sdtmndtasgtdt0(xx, xR, xy))], clausify(m__)).
% 1.17/1.42 cnf(7, plain, [-(sdtmndtasgtdt0(xy, xR, xz))], clausify(m__)).
% 1.17/1.42 cnf(8, plain, [-(xy = xz), 7 ^ []], clausify(m__)).
% 1.17/1.42 cnf(9, plain, [-(_9416 = _9416)], theory(equality)).
% 1.17/1.42 cnf(10, plain, [_9569 = _9614, -(_9614 = _9569)], theory(equality)).
% 1.17/1.42 cnf(11, plain, [-(aElement0(_10373)), _10324 = _10373, aElement0(_10324)], theory(equality)).
% 1.17/1.42 cnf(12, plain, [-(sdtmndtasgtdt0(_12716, _12883, _13046)), sdtmndtasgtdt0(_12631, _12800, _12965), _12631 = _12716, _12800 = _12883, _12965 = _13046], theory(equality)).
% 1.17/1.42 cnf(13, plain, [sdtmndtplgtdt0(_18055, _17972, _18137), sdtmndtplgtdt0(_17888, _17972, _18055), -(sdtmndtplgtdt0(_17888, _17972, _18137)), aElement0(_17888), aRewritingSystem0(_17972), aElement0(_18055), aElement0(_18137)], clausify(mTCTrans)).
% 1.17/1.42 cnf(14, plain, [-(aElement0(xx))], clausify(m__349)).
% 1.17/1.42 cnf(15, plain, [-(aRewritingSystem0(xR))], clausify(m__349)).
% 1.17/1.42 cnf(16, plain, [-(aElement0(xy))], clausify(m__349)).
% 1.17/1.42 cnf(17, plain, [-(aElement0(xz))], clausify(m__349)).
% 1.17/1.42 cnf(18, plain, [aElement0(_19004), aRewritingSystem0(_18932), aElement0(_18859), sdtmndtasgtdt0(_18859, _18932, _19004), -(_18859 = _19004), -(sdtmndtplgtdt0(_18859, _18932, _19004))], clausify(mTCRDef)).
% 1.17/1.42
% 1.17/1.42 cnf('1',plain,[sdtmndtplgtdt0(xx, xR, xz)],start(3)).
% 1.17/1.42 cnf('1.1',plain,[-(sdtmndtplgtdt0(xx, xR, xz)), sdtmndtplgtdt0(xy, xR, xz), sdtmndtplgtdt0(xx, xR, xy), aElement0(xx), aRewritingSystem0(xR), aElement0(xy), aElement0(xz)],extension(13,bind([[_17888, _17972, _18055, _18137], [xx, xR, xy, xz]]))).
% 1.17/1.42 cnf('1.1.1',plain,[-(sdtmndtplgtdt0(xy, xR, xz)), -(7 ^ [])],extension(1)).
% 1.17/1.42 cnf('1.1.1.1',plain,[7 ^ [], -(xy = xz)],extension(8)).
% 1.17/1.42 cnf('1.1.1.1.1',plain,[xy = xz, -(sdtmndtasgtdt0(xx, xR, xz)), sdtmndtasgtdt0(xx, xR, xy), xx = xx, xR = xR],extension(12,bind([[_13046, _12965, _12631, _12716, _12800, _12883], [xz, xy, xx, xx, xR, xR]]))).
% 1.17/1.42 cnf('1.1.1.1.1.1',plain,[sdtmndtasgtdt0(xx, xR, xz)],extension(4)).
% 1.17/1.42 cnf('1.1.1.1.1.2',plain,[-(sdtmndtasgtdt0(xx, xR, xy))],extension(6)).
% 1.17/1.42 cnf('1.1.1.1.1.3',plain,[-(xx = xx)],extension(9,bind([[_9416], [xx]]))).
% 1.17/1.42 cnf('1.1.1.1.1.4',plain,[-(xR = xR)],extension(9,bind([[_9416], [xR]]))).
% 1.17/1.42 cnf('1.1.2',plain,[-(sdtmndtplgtdt0(xx, xR, xy)), aElement0(xy), aRewritingSystem0(xR), aElement0(xx), sdtmndtasgtdt0(xx, xR, xy), -(xx = xy)],extension(18,bind([[_18932, _18859, _19004], [xR, xx, xy]]))).
% 1.17/1.42 cnf('1.1.2.1',plain,[-(aElement0(xy)), xx = xy, aElement0(xx)],extension(11,bind([[_10373, _10324], [xy, xx]]))).
% 1.17/1.42 cnf('1.1.2.1.1',plain,[-(xx = xy), 4 ^ []],extension(5)).
% 1.17/1.42 cnf('1.1.2.1.1.1',plain,[-(4 ^ []), -(sdtmndtplgtdt0(xx, xR, xy))],extension(2)).
% 1.17/1.42 cnf('1.1.2.1.1.1.1',plain,[sdtmndtplgtdt0(xx, xR, xy)],reduction('1.1')).
% 1.17/1.42 cnf('1.1.2.1.2',plain,[-(aElement0(xx))],extension(14)).
% 1.17/1.42 cnf('1.1.2.2',plain,[-(aRewritingSystem0(xR))],extension(15)).
% 1.17/1.42 cnf('1.1.2.3',plain,[-(aElement0(xx))],extension(14)).
% 1.17/1.42 cnf('1.1.2.4',plain,[-(sdtmndtasgtdt0(xx, xR, xy))],extension(6)).
% 1.17/1.42 cnf('1.1.2.5',plain,[xx = xy, -(xy = xx)],extension(10,bind([[_9614, _9569], [xy, xx]]))).
% 1.17/1.42 cnf('1.1.2.5.1',plain,[xy = xx, -(sdtmndtasgtdt0(xx, xR, xz)), sdtmndtasgtdt0(xy, xR, xz), xR = xR, xz = xz],extension(12,bind([[_12716, _12631, _12800, _12883, _12965, _13046], [xx, xy, xR, xR, xz, xz]]))).
% 1.17/1.42 cnf('1.1.2.5.1.1',plain,[sdtmndtasgtdt0(xx, xR, xz)],extension(4)).
% 1.17/1.42 cnf('1.1.2.5.1.2',plain,[-(sdtmndtasgtdt0(xy, xR, xz))],extension(7)).
% 1.17/1.42 cnf('1.1.2.5.1.3',plain,[-(xR = xR)],extension(9,bind([[_9416], [xR]]))).
% 1.17/1.42 cnf('1.1.2.5.1.4',plain,[-(xz = xz)],extension(9,bind([[_9416], [xz]]))).
% 1.17/1.42 cnf('1.1.3',plain,[-(aElement0(xx))],extension(14)).
% 1.17/1.42 cnf('1.1.4',plain,[-(aRewritingSystem0(xR))],extension(15)).
% 1.17/1.42 cnf('1.1.5',plain,[-(aElement0(xy))],extension(16)).
% 1.17/1.42 cnf('1.1.6',plain,[-(aElement0(xz))],extension(17)).
% 1.17/1.42 %-----------------------------------------------------
% 1.17/1.43
% 1.17/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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