TSTP Solution File: COM019+4 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : COM019+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n023.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 01:27:51 EDT 2022
% Result : Theorem 153.81s 147.89s
% Output : Proof 153.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM019+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.33 % Computer : n023.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 18:18:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 153.81/147.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 153.81/147.90 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 153.91/147.90
% 153.91/147.90 %-----------------------------------------------------
% 153.91/147.90 fof(m__715, hypothesis, ! [_92143, _92146, _92149] : (aElement0(_92143) & aElement0(_92146) & aElement0(_92149) & (_92143 = _92146 | aReductOfIn0(_92146, _92143, xR) | ? [_92197] : (aElement0(_92197) & aReductOfIn0(_92197, _92143, xR) & sdtmndtplgtdt0(_92197, xR, _92146)) | sdtmndtplgtdt0(_92143, xR, _92146) | sdtmndtasgtdt0(_92143, xR, _92146)) & (_92143 = _92149 | aReductOfIn0(_92149, _92143, xR) | ? [_92197] : (aElement0(_92197) & aReductOfIn0(_92197, _92143, xR) & sdtmndtplgtdt0(_92197, xR, _92149)) | sdtmndtplgtdt0(_92143, xR, _92149) | sdtmndtasgtdt0(_92143, xR, _92149)) => iLess0(_92143, xa) => ? [_92197] : (aElement0(_92197) & (_92146 = _92197 | (aReductOfIn0(_92197, _92146, xR) | ? [_92392] : (aElement0(_92392) & aReductOfIn0(_92392, _92146, xR) & sdtmndtplgtdt0(_92392, xR, _92197))) & sdtmndtplgtdt0(_92146, xR, _92197)) & sdtmndtasgtdt0(_92146, xR, _92197) & (_92149 = _92197 | (aReductOfIn0(_92197, _92149, xR) | ? [_92392] : (aElement0(_92392) & aReductOfIn0(_92392, _92149, xR) & sdtmndtplgtdt0(_92392, xR, _92197))) & sdtmndtplgtdt0(_92149, xR, _92197)) & sdtmndtasgtdt0(_92149, xR, _92197))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__715)).
% 153.91/147.90 fof(m__656_01, hypothesis, ! [_93453, _93456, _93459] : (aElement0(_93453) & aElement0(_93456) & aElement0(_93459) & aReductOfIn0(_93456, _93453, xR) & aReductOfIn0(_93459, _93453, xR) => ? [_93514] : (aElement0(_93514) & (_93456 = _93514 | (aReductOfIn0(_93514, _93456, xR) | ? [_93548] : (aElement0(_93548) & aReductOfIn0(_93548, _93456, xR) & sdtmndtplgtdt0(_93548, xR, _93514))) & sdtmndtplgtdt0(_93456, xR, _93514)) & sdtmndtasgtdt0(_93456, xR, _93514) & (_93459 = _93514 | (aReductOfIn0(_93514, _93459, xR) | ? [_93548] : (aElement0(_93548) & aReductOfIn0(_93548, _93459, xR) & sdtmndtplgtdt0(_93548, xR, _93514))) & sdtmndtplgtdt0(_93459, xR, _93514)) & sdtmndtasgtdt0(_93459, xR, _93514))) & isLocallyConfluent0(xR) & ! [_93453, _93456] : (aElement0(_93453) & aElement0(_93456) => aReductOfIn0(_93456, _93453, xR) | ? [_93459] : (aElement0(_93459) & aReductOfIn0(_93459, _93453, xR) & sdtmndtplgtdt0(_93459, xR, _93456)) | sdtmndtplgtdt0(_93453, xR, _93456) => iLess0(_93456, _93453)) & isTerminating0(xR), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__656_01)).
% 153.91/147.90 fof(m__, conjecture, xb = xd | aReductOfIn0(xd, xb, xR) | ? [_94659] : (aElement0(_94659) & aReductOfIn0(_94659, xb, xR) & sdtmndtplgtdt0(_94659, xR, xd)) | sdtmndtplgtdt0(xb, xR, xd) | sdtmndtasgtdt0(xb, xR, xd), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 153.91/147.90 fof(mTCRTrans, axiom, ! [_94990, _94993, _94996, _94999] : (aElement0(_94990) & aRewritingSystem0(_94993) & aElement0(_94996) & aElement0(_94999) => sdtmndtasgtdt0(_94990, _94993, _94996) & sdtmndtasgtdt0(_94996, _94993, _94999) => sdtmndtasgtdt0(_94990, _94993, _94999)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mTCRTrans)).
% 153.91/147.90 fof(m__656, hypothesis, aRewritingSystem0(xR), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__656)).
% 153.91/147.90 fof(m__731, hypothesis, aElement0(xa) & aElement0(xb) & aElement0(xc), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__731)).
% 153.91/147.90 fof(m__755, hypothesis, aElement0(xu) & aReductOfIn0(xu, xa, xR) & (xu = xb | (aReductOfIn0(xb, xu, xR) | ? [_95486] : (aElement0(_95486) & aReductOfIn0(_95486, xu, xR) & sdtmndtplgtdt0(_95486, xR, xb))) & sdtmndtplgtdt0(xu, xR, xb)) & sdtmndtasgtdt0(xu, xR, xb), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__755)).
% 153.91/147.90 fof(m__818, hypothesis, aElement0(xd) & (xw = xd | (aReductOfIn0(xd, xw, xR) | ? [_95857] : (aElement0(_95857) & aReductOfIn0(_95857, xw, xR) & sdtmndtplgtdt0(_95857, xR, xd))) & sdtmndtplgtdt0(xw, xR, xd)) & sdtmndtasgtdt0(xw, xR, xd) & ~ ? [_95857] : aReductOfIn0(_95857, xd, xR) & aNormalFormOfIn0(xd, xw, xR), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__818)).
% 153.91/147.90 fof(m__799, hypothesis, aElement0(xw) & (xu = xw | (aReductOfIn0(xw, xu, xR) | ? [_96309] : (aElement0(_96309) & aReductOfIn0(_96309, xu, xR) & sdtmndtplgtdt0(_96309, xR, xw))) & sdtmndtplgtdt0(xu, xR, xw)) & sdtmndtasgtdt0(xu, xR, xw) & (xv = xw | (aReductOfIn0(xw, xv, xR) | ? [_96309] : (aElement0(_96309) & aReductOfIn0(_96309, xv, xR) & sdtmndtplgtdt0(_96309, xR, xw))) & sdtmndtplgtdt0(xv, xR, xw)) & sdtmndtasgtdt0(xv, xR, xw), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__799)).
% 153.91/147.90
% 153.91/147.90 cnf(1, plain, [-(42 ^ [_47354, _47082, _46809]), -(aReductOfIn0(41 ^ [_47354, _47082, _46809], _47082, xR))], clausify(m__715)).
% 153.91/147.90 cnf(2, plain, [-(43 ^ [_47354, _47082, _46809]), -(aReductOfIn0(40 ^ [_47354, _47082, _46809], _47082, xR)), 42 ^ [_47354, _47082, _46809]], clausify(m__715)).
% 153.91/147.90 cnf(3, plain, [-(47 ^ [_47354, _47082, _46809]), -(sdtmndtasgtdt0(_47354, xR, 40 ^ [_47354, _47082, _46809]))], clausify(m__715)).
% 153.91/147.90 cnf(4, plain, [-(47 ^ [_47354, _47082, _46809]), -(_47082 = 40 ^ [_47354, _47082, _46809]), 43 ^ [_47354, _47082, _46809]], clausify(m__715)).
% 153.91/147.90 cnf(5, plain, [-(39 ^ [_47354, _47082, _46809]), sdtmndtasgtdt0(_46809, xR, _47354)], clausify(m__715)).
% 153.91/147.90 cnf(6, plain, [-(38 ^ [_47354, _47082, _46809]), sdtmndtasgtdt0(_46809, xR, _47082)], clausify(m__715)).
% 153.91/147.90 cnf(7, plain, [-(37 ^ [_45607, _45520]), aReductOfIn0(_45607, _45520, xR)], clausify(m__656_01)).
% 153.91/147.90 cnf(8, plain, [sdtmndtasgtdt0(xb, xR, xd)], clausify(m__)).
% 153.91/147.90 cnf(9, plain, [-(_24748 = _24748)], theory(equality)).
% 153.91/147.90 cnf(10, plain, [_24901 = _24946, -(_24946 = _24901)], theory(equality)).
% 153.91/147.90 cnf(11, plain, [-(sdtmndtasgtdt0(_30060, _30227, _30390)), sdtmndtasgtdt0(_29975, _30144, _30309), _29975 = _30060, _30144 = _30227, _30309 = _30390], theory(equality)).
% 153.91/147.90 cnf(12, plain, [sdtmndtasgtdt0(_37187, _37104, _37269), sdtmndtasgtdt0(_37020, _37104, _37187), -(sdtmndtasgtdt0(_37020, _37104, _37269)), aElement0(_37020), aRewritingSystem0(_37104), aElement0(_37187), aElement0(_37269)], clausify(mTCRTrans)).
% 153.91/147.90 cnf(13, plain, [-(aRewritingSystem0(xR))], clausify(m__656)).
% 153.91/147.90 cnf(14, plain, [aElement0(_45607), aElement0(_45520), -(iLess0(_45607, _45520)), 37 ^ [_45607, _45520]], clausify(m__656_01)).
% 153.91/147.90 cnf(15, plain, [-(aElement0(xa))], clausify(m__731)).
% 153.91/147.90 cnf(16, plain, [-(aElement0(xb))], clausify(m__731)).
% 153.91/147.90 cnf(17, plain, [39 ^ [_47354, _47082, _46809], 38 ^ [_47354, _47082, _46809], aElement0(_47354), aElement0(_47082), aElement0(_46809), iLess0(_46809, xa), 47 ^ [_47354, _47082, _46809]], clausify(m__715)).
% 153.91/147.90 cnf(18, plain, [-(aElement0(xu))], clausify(m__755)).
% 153.91/147.90 cnf(19, plain, [-(aReductOfIn0(xu, xa, xR))], clausify(m__755)).
% 153.91/147.90 cnf(20, plain, [-(sdtmndtasgtdt0(xu, xR, xb))], clausify(m__755)).
% 153.91/147.90 cnf(21, plain, [-(aElement0(xd))], clausify(m__818)).
% 153.91/147.90 cnf(22, plain, [-(sdtmndtasgtdt0(xw, xR, xd))], clausify(m__818)).
% 153.91/147.90 cnf(23, plain, [aReductOfIn0(_56738, xd, xR)], clausify(m__818)).
% 153.91/147.90 cnf(24, plain, [-(aElement0(xw))], clausify(m__799)).
% 153.91/147.90 cnf(25, plain, [-(sdtmndtasgtdt0(xu, xR, xw))], clausify(m__799)).
% 153.91/147.90
% 153.91/147.90 cnf('1',plain,[aReductOfIn0(40 ^ [xb, xd, xu], xd, xR)],start(23,bind([[_56738], [40 ^ [xb, xd, xu]]]))).
% 153.91/147.90 cnf('1.1',plain,[-(aReductOfIn0(40 ^ [xb, xd, xu], xd, xR)), -(43 ^ [xb, xd, xu]), 42 ^ [xb, xd, xu]],extension(2,bind([[_47354, _47082, _46809], [xb, xd, xu]]))).
% 153.91/147.90 cnf('1.1.1',plain,[43 ^ [xb, xd, xu], -(47 ^ [xb, xd, xu]), -(xd = 40 ^ [xb, xd, xu])],extension(4,bind([[_47354, _47082, _46809], [xb, xd, xu]]))).
% 153.91/147.90 cnf('1.1.1.1',plain,[47 ^ [xb, xd, xu], 39 ^ [xb, xd, xu], 38 ^ [xb, xd, xu], aElement0(xb), aElement0(xd), aElement0(xu), iLess0(xu, xa)],extension(17,bind([[_47354, _47082, _46809], [xb, xd, xu]]))).
% 153.91/147.90 cnf('1.1.1.1.1',plain,[-(39 ^ [xb, xd, xu]), sdtmndtasgtdt0(xu, xR, xb)],extension(5,bind([[_47082, _46809, _47354], [xd, xu, xb]]))).
% 153.91/147.90 cnf('1.1.1.1.1.1',plain,[-(sdtmndtasgtdt0(xu, xR, xb))],extension(20)).
% 153.91/147.90 cnf('1.1.1.1.2',plain,[-(38 ^ [xb, xd, xu]), sdtmndtasgtdt0(xu, xR, xd)],extension(6,bind([[_47354, _46809, _47082], [xb, xu, xd]]))).
% 153.91/147.90 cnf('1.1.1.1.2.1',plain,[-(sdtmndtasgtdt0(xu, xR, xd)), sdtmndtasgtdt0(xw, xR, xd), sdtmndtasgtdt0(xu, xR, xw), aElement0(xu), aRewritingSystem0(xR), aElement0(xw), aElement0(xd)],extension(12,bind([[_37020, _37104, _37187, _37269], [xu, xR, xw, xd]]))).
% 153.91/147.90 cnf('1.1.1.1.2.1.1',plain,[-(sdtmndtasgtdt0(xw, xR, xd))],extension(22)).
% 153.91/147.90 cnf('1.1.1.1.2.1.2',plain,[-(sdtmndtasgtdt0(xu, xR, xw))],extension(25)).
% 153.91/147.90 cnf('1.1.1.1.2.1.3',plain,[-(aElement0(xu))],extension(18)).
% 153.91/147.90 cnf('1.1.1.1.2.1.4',plain,[-(aRewritingSystem0(xR))],extension(13)).
% 153.91/147.90 cnf('1.1.1.1.2.1.5',plain,[-(aElement0(xw))],extension(24)).
% 153.91/147.90 cnf('1.1.1.1.2.1.6',plain,[-(aElement0(xd))],extension(21)).
% 153.91/147.90 cnf('1.1.1.1.3',plain,[-(aElement0(xb))],extension(16)).
% 153.91/147.90 cnf('1.1.1.1.4',plain,[-(aElement0(xd))],extension(21)).
% 153.91/147.90 cnf('1.1.1.1.5',plain,[-(aElement0(xu))],extension(18)).
% 153.91/147.90 cnf('1.1.1.1.6',plain,[-(iLess0(xu, xa)), aElement0(xu), aElement0(xa), 37 ^ [xu, xa]],extension(14,bind([[_45607, _45520], [xu, xa]]))).
% 153.91/147.90 cnf('1.1.1.1.6.1',plain,[-(aElement0(xu))],extension(18)).
% 153.91/147.90 cnf('1.1.1.1.6.2',plain,[-(aElement0(xa))],extension(15)).
% 153.91/147.90 cnf('1.1.1.1.6.3',plain,[-(37 ^ [xu, xa]), aReductOfIn0(xu, xa, xR)],extension(7,bind([[_45607, _45520], [xu, xa]]))).
% 153.91/147.90 cnf('1.1.1.1.6.3.1',plain,[-(aReductOfIn0(xu, xa, xR))],extension(19)).
% 153.91/147.90 cnf('1.1.1.2',plain,[xd = 40 ^ [xb, xd, xu], -(40 ^ [xb, xd, xu] = xd)],extension(10,bind([[_24946, _24901], [40 ^ [xb, xd, xu], xd]]))).
% 153.91/147.90 cnf('1.1.1.2.1',plain,[40 ^ [xb, xd, xu] = xd, -(sdtmndtasgtdt0(xb, xR, xd)), sdtmndtasgtdt0(xb, xR, 40 ^ [xb, xd, xu]), xb = xb, xR = xR],extension(11,bind([[_30390, _30309, _29975, _30060, _30144, _30227], [xd, 40 ^ [xb, xd, xu], xb, xb, xR, xR]]))).
% 153.91/147.90 cnf('1.1.1.2.1.1',plain,[sdtmndtasgtdt0(xb, xR, xd)],extension(8)).
% 153.91/147.90 cnf('1.1.1.2.1.2',plain,[-(sdtmndtasgtdt0(xb, xR, 40 ^ [xb, xd, xu])), -(47 ^ [xb, xd, xu])],extension(3,bind([[_47354, _47082, _46809], [xb, xd, xu]]))).
% 153.91/147.90 cnf('1.1.1.2.1.2.1',plain,[47 ^ [xb, xd, xu]],lemmata('1.1.1')).
% 153.91/147.90 cnf('1.1.1.2.1.3',plain,[-(xb = xb)],extension(9,bind([[_24748], [xb]]))).
% 153.91/147.90 cnf('1.1.1.2.1.4',plain,[-(xR = xR)],extension(9,bind([[_24748], [xR]]))).
% 153.91/147.90 cnf('1.1.2',plain,[-(42 ^ [xb, xd, xu]), -(aReductOfIn0(41 ^ [xb, xd, xu], xd, xR))],extension(1,bind([[_47354, _46809, _47082], [xb, xu, xd]]))).
% 153.91/147.90 cnf('1.1.2.1',plain,[aReductOfIn0(41 ^ [xb, xd, xu], xd, xR)],extension(23,bind([[_56738], [41 ^ [xb, xd, xu]]]))).
% 153.91/147.90 %-----------------------------------------------------
% 153.91/147.91
% 153.91/147.91 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------