TSTP Solution File: COM013+4 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n021.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 01:27:48 EDT 2022
% Result : Theorem 49.72s 38.76s
% Output : Proof 49.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM013+4 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 17:02:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 49.72/38.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 49.72/38.77 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 49.72/38.77
% 49.72/38.77 %-----------------------------------------------------
% 49.72/38.77 fof(m__, conjecture, ! [_69103] : (aElement0(_69103) => ! [_69118] : (aElement0(_69118) => iLess0(_69118, _69103) => ? [_69143] : (aElement0(_69143) & (_69118 = _69143 | (aReductOfIn0(_69143, _69118, xR) | ? [_69177] : (aElement0(_69177) & aReductOfIn0(_69177, _69118, xR) & sdtmndtplgtdt0(_69177, xR, _69143))) & sdtmndtplgtdt0(_69118, xR, _69143)) & sdtmndtasgtdt0(_69118, xR, _69143) & ~ ? [_69177] : aReductOfIn0(_69177, _69143, xR) & aNormalFormOfIn0(_69143, _69118, xR))) => ? [_69118] : (aElement0(_69118) & (_69103 = _69118 | aReductOfIn0(_69118, _69103, xR) | ? [_69143] : (aElement0(_69143) & aReductOfIn0(_69143, _69103, xR) & sdtmndtplgtdt0(_69143, xR, _69118)) | sdtmndtplgtdt0(_69103, xR, _69118) | sdtmndtasgtdt0(_69103, xR, _69118)) & ~ ? [_69143] : aReductOfIn0(_69143, _69118, xR) | aNormalFormOfIn0(_69118, _69103, xR))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 49.72/38.77 fof(mNFRDef, definition, ! [_70171, _70174] : (aElement0(_70171) & aRewritingSystem0(_70174) => ! [_70196] : (aNormalFormOfIn0(_70196, _70171, _70174) <=> aElement0(_70196) & sdtmndtasgtdt0(_70171, _70174, _70196) & ~ ? [_70239] : aReductOfIn0(_70239, _70196, _70174))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mNFRDef)).
% 49.72/38.77 fof(mTermin, definition, ! [_70537] : (aRewritingSystem0(_70537) => (isTerminating0(_70537) <=> ! [_70559, _70562] : (aElement0(_70559) & aElement0(_70562) => sdtmndtplgtdt0(_70559, _70537, _70562) => iLess0(_70562, _70559)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mTermin)).
% 49.72/38.77 fof(mTCRDef, definition, ! [_70828, _70831, _70834] : (aElement0(_70828) & aRewritingSystem0(_70831) & aElement0(_70834) => (sdtmndtasgtdt0(_70828, _70831, _70834) <=> _70828 = _70834 | sdtmndtplgtdt0(_70828, _70831, _70834))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mTCRDef)).
% 49.72/38.77 fof(mTCDef, definition, ! [_71100, _71103, _71106] : (aElement0(_71100) & aRewritingSystem0(_71103) & aElement0(_71106) => (sdtmndtplgtdt0(_71100, _71103, _71106) <=> aReductOfIn0(_71106, _71100, _71103) | ? [_71161] : (aElement0(_71161) & aReductOfIn0(_71161, _71100, _71103) & sdtmndtplgtdt0(_71161, _71103, _71106)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mTCDef)).
% 49.72/38.77 fof(mReduct, axiom, ! [_71540, _71543] : (aElement0(_71540) & aRewritingSystem0(_71543) => ! [_71565] : (aReductOfIn0(_71565, _71540, _71543) => aElement0(_71565))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mReduct)).
% 49.72/38.77 fof(m__587, hypothesis, aRewritingSystem0(xR) & ! [_71805, _71808] : (aElement0(_71805) & aElement0(_71808) => aReductOfIn0(_71808, _71805, xR) | ? [_71843] : (aElement0(_71843) & aReductOfIn0(_71843, _71805, xR) & sdtmndtplgtdt0(_71843, xR, _71808)) | sdtmndtplgtdt0(_71805, xR, _71808) => iLess0(_71808, _71805)) & isTerminating0(xR), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__587)).
% 49.72/38.77
% 49.72/38.77 cnf(1, plain, [-(35 ^ [_41082]), aElement0(_41114), aReductOfIn0(_41114, 29 ^ [], xR), sdtmndtplgtdt0(_41114, xR, _41082)], clausify(m__)).
% 49.72/38.77 cnf(2, plain, [-(35 ^ [_41082]), sdtmndtasgtdt0(29 ^ [], xR, _41082)], clausify(m__)).
% 49.72/38.77 cnf(3, plain, [-(35 ^ [_41082]), aReductOfIn0(_41082, 29 ^ [], xR)], clausify(m__)).
% 49.72/38.77 cnf(4, plain, [-(33 ^ [_40987]), -(sdtmndtplgtdt0(_40987, xR, 30 ^ [_40987]))], clausify(m__)).
% 49.72/38.77 cnf(5, plain, [-(34 ^ [_40987]), -(_40987 = 30 ^ [_40987]), 33 ^ [_40987]], clausify(m__)).
% 49.72/38.77 cnf(6, plain, [-(34 ^ [_40987]), aReductOfIn0(_41295, 30 ^ [_40987], xR)], clausify(m__)).
% 49.72/38.77 cnf(7, plain, [-(34 ^ [_40987]), -(aElement0(30 ^ [_40987]))], clausify(m__)).
% 49.72/38.77 cnf(8, plain, [-(25 ^ [_31857, _31686, _31605]), aReductOfIn0(_32171, _31857, _31686)], clausify(mNFRDef)).
% 49.72/38.77 cnf(9, plain, [-(25 ^ [_31857, _31686, _31605]), -(sdtmndtasgtdt0(_31605, _31686, _31857))], clausify(mNFRDef)).
% 49.72/38.77 cnf(10, plain, [-(27 ^ [_31686, _31605]), -(aNormalFormOfIn0(_31857, _31605, _31686)), aElement0(_31857), sdtmndtasgtdt0(_31605, _31686, _31857), -(aReductOfIn0(26 ^ [_31857, _31686, _31605], _31857, _31686))], clausify(mNFRDef)).
% 49.72/38.77 cnf(11, plain, [-(27 ^ [_31686, _31605]), aNormalFormOfIn0(_31857, _31605, _31686), 25 ^ [_31857, _31686, _31605]], clausify(mNFRDef)).
% 49.72/38.77 cnf(12, plain, [-(24 ^ [_30935]), isTerminating0(_30935), aElement0(_31142), aElement0(_31082), sdtmndtplgtdt0(_31082, _30935, _31142), -(iLess0(_31142, _31082))], clausify(mTermin)).
% 49.72/38.77 cnf(13, plain, [-(5 ^ [_26712, _26640, _26567]), _26567 = _26712], clausify(mTCRDef)).
% 49.72/38.77 cnf(14, plain, [-(6 ^ [_26712, _26640, _26567]), -(sdtmndtasgtdt0(_26567, _26640, _26712)), 5 ^ [_26712, _26640, _26567]], clausify(mTCRDef)).
% 49.72/38.77 cnf(15, plain, [-(3 ^ [_24692, _24602, _24511]), aReductOfIn0(_24692, _24511, _24602)], clausify(mTCDef)).
% 49.72/38.77 cnf(16, plain, [-(4 ^ [_24692, _24602, _24511]), -(sdtmndtplgtdt0(_24511, _24602, _24692)), 3 ^ [_24692, _24602, _24511]], clausify(mTCDef)).
% 49.72/38.77 cnf(17, plain, [-(aElement0(29 ^ []))], clausify(m__)).
% 49.72/38.77 cnf(18, plain, [aElement0(_40987), iLess0(_40987, 29 ^ []), 34 ^ [_40987]], clausify(m__)).
% 49.72/38.77 cnf(19, plain, [aElement0(_41082), -(aReductOfIn0(36 ^ [_41082], _41082, xR)), 35 ^ [_41082]], clausify(m__)).
% 49.72/38.77 cnf(20, plain, [-(_15052 = _15052)], theory(equality)).
% 49.72/38.77 cnf(21, plain, [-(aReductOfIn0(_17399, _17566, _17729)), aReductOfIn0(_17314, _17483, _17648), _17314 = _17399, _17483 = _17566, _17648 = _17729], theory(equality)).
% 49.72/38.77 cnf(22, plain, [aRewritingSystem0(_23008), aElement0(_22948), aReductOfIn0(_23158, _22948, _23008), -(aElement0(_23158))], clausify(mReduct)).
% 49.72/38.77 cnf(23, plain, [aElement0(_24692), aRewritingSystem0(_24602), aElement0(_24511), 4 ^ [_24692, _24602, _24511]], clausify(mTCDef)).
% 49.72/38.77 cnf(24, plain, [aElement0(_26712), aRewritingSystem0(_26640), aElement0(_26567), 6 ^ [_26712, _26640, _26567]], clausify(mTCRDef)).
% 49.72/38.77 cnf(25, plain, [aRewritingSystem0(_30935), 24 ^ [_30935]], clausify(mTermin)).
% 49.72/38.77 cnf(26, plain, [-(aRewritingSystem0(xR))], clausify(m__587)).
% 49.72/38.77 cnf(27, plain, [-(isTerminating0(xR))], clausify(m__587)).
% 49.72/38.77 cnf(28, plain, [aRewritingSystem0(_31686), aElement0(_31605), 27 ^ [_31686, _31605]], clausify(mNFRDef)).
% 49.72/38.77
% 49.72/38.77 cnf('1',plain,[-(aElement0(29 ^ []))],start(17)).
% 49.72/38.77 cnf('1.1',plain,[aElement0(29 ^ []), aRewritingSystem0(xR), aReductOfIn0(26 ^ [29 ^ [], xR, 29 ^ []], 29 ^ [], xR), -(aElement0(26 ^ [29 ^ [], xR, 29 ^ []]))],extension(22,bind([[_22948, _23008, _23158], [29 ^ [], xR, 26 ^ [29 ^ [], xR, 29 ^ []]]]))).
% 49.72/38.78 cnf('1.1.1',plain,[-(aRewritingSystem0(xR))],extension(26)).
% 49.72/38.78 cnf('1.1.2',plain,[-(aReductOfIn0(26 ^ [29 ^ [], xR, 29 ^ []], 29 ^ [], xR)), -(27 ^ [xR, 29 ^ []]), -(aNormalFormOfIn0(29 ^ [], 29 ^ [], xR)), aElement0(29 ^ []), sdtmndtasgtdt0(29 ^ [], xR, 29 ^ [])],extension(10,bind([[_31605, _31686, _31857], [29 ^ [], xR, 29 ^ []]]))).
% 49.72/38.78 cnf('1.1.2.1',plain,[27 ^ [xR, 29 ^ []], aRewritingSystem0(xR), aElement0(29 ^ [])],extension(28,bind([[_31686, _31605], [xR, 29 ^ []]]))).
% 49.72/38.78 cnf('1.1.2.1.1',plain,[-(aRewritingSystem0(xR))],extension(26)).
% 49.72/38.78 cnf('1.1.2.1.2',plain,[-(aElement0(29 ^ []))],extension(17)).
% 49.72/38.78 cnf('1.1.2.2',plain,[aNormalFormOfIn0(29 ^ [], 29 ^ [], xR), -(27 ^ [xR, 29 ^ []]), 25 ^ [29 ^ [], xR, 29 ^ []]],extension(11,bind([[_31857, _31686, _31605], [29 ^ [], xR, 29 ^ []]]))).
% 49.72/38.78 cnf('1.1.2.2.1',plain,[27 ^ [xR, 29 ^ []]],lemmata('1.1.2')).
% 49.72/38.78 cnf('1.1.2.2.2',plain,[-(25 ^ [29 ^ [], xR, 29 ^ []]), aReductOfIn0(36 ^ [29 ^ []], 29 ^ [], xR)],extension(8,bind([[_31605, _32171, _31857, _31686], [29 ^ [], 36 ^ [29 ^ []], 29 ^ [], xR]]))).
% 49.72/38.78 cnf('1.1.2.2.2.1',plain,[-(aReductOfIn0(36 ^ [29 ^ []], 29 ^ [], xR)), aElement0(29 ^ []), 35 ^ [29 ^ []]],extension(19,bind([[_41082], [29 ^ []]]))).
% 49.72/38.78 cnf('1.1.2.2.2.1.1',plain,[-(aElement0(29 ^ []))],extension(17)).
% 49.72/38.78 cnf('1.1.2.2.2.1.2',plain,[-(35 ^ [29 ^ []]), sdtmndtasgtdt0(29 ^ [], xR, 29 ^ [])],extension(2,bind([[_41082], [29 ^ []]]))).
% 49.72/38.78 cnf('1.1.2.2.2.1.2.1',plain,[-(sdtmndtasgtdt0(29 ^ [], xR, 29 ^ [])), -(25 ^ [29 ^ [], xR, 29 ^ []])],extension(9,bind([[_31857, _31686, _31605], [29 ^ [], xR, 29 ^ []]]))).
% 49.72/38.78 cnf('1.1.2.2.2.1.2.1.1',plain,[25 ^ [29 ^ [], xR, 29 ^ []]],reduction('1.1.2.2')).
% 49.72/38.78 cnf('1.1.2.3',plain,[-(aElement0(29 ^ []))],extension(17)).
% 49.72/38.78 cnf('1.1.2.4',plain,[-(sdtmndtasgtdt0(29 ^ [], xR, 29 ^ [])), -(6 ^ [29 ^ [], xR, 29 ^ []]), 5 ^ [29 ^ [], xR, 29 ^ []]],extension(14,bind([[_26712, _26640, _26567], [29 ^ [], xR, 29 ^ []]]))).
% 49.72/38.78 cnf('1.1.2.4.1',plain,[6 ^ [29 ^ [], xR, 29 ^ []], aElement0(29 ^ []), aRewritingSystem0(xR), aElement0(29 ^ [])],extension(24,bind([[_26712, _26640, _26567], [29 ^ [], xR, 29 ^ []]]))).
% 49.72/38.78 cnf('1.1.2.4.1.1',plain,[-(aElement0(29 ^ []))],extension(17)).
% 49.72/38.78 cnf('1.1.2.4.1.2',plain,[-(aRewritingSystem0(xR))],extension(26)).
% 49.72/38.78 cnf('1.1.2.4.1.3',plain,[-(aElement0(29 ^ []))],extension(17)).
% 49.72/38.78 cnf('1.1.2.4.2',plain,[-(5 ^ [29 ^ [], xR, 29 ^ []]), 29 ^ [] = 29 ^ []],extension(13,bind([[_26640, _26567, _26712], [xR, 29 ^ [], 29 ^ []]]))).
% 49.72/38.78 cnf('1.1.2.4.2.1',plain,[-(29 ^ [] = 29 ^ [])],extension(20,bind([[_15052], [29 ^ []]]))).
% 49.72/38.78 cnf('1.1.3',plain,[aElement0(26 ^ [29 ^ [], xR, 29 ^ []]), iLess0(26 ^ [29 ^ [], xR, 29 ^ []], 29 ^ []), 34 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]],extension(18,bind([[_40987], [26 ^ [29 ^ [], xR, 29 ^ []]]]))).
% 49.72/38.78 cnf('1.1.3.1',plain,[-(iLess0(26 ^ [29 ^ [], xR, 29 ^ []], 29 ^ [])), -(24 ^ [xR]), isTerminating0(xR), aElement0(26 ^ [29 ^ [], xR, 29 ^ []]), aElement0(29 ^ []), sdtmndtplgtdt0(29 ^ [], xR, 26 ^ [29 ^ [], xR, 29 ^ []])],extension(12,bind([[_31082, _30935, _31142], [29 ^ [], xR, 26 ^ [29 ^ [], xR, 29 ^ []]]]))).
% 49.72/38.78 cnf('1.1.3.1.1',plain,[24 ^ [xR], aRewritingSystem0(xR)],extension(25,bind([[_30935], [xR]]))).
% 49.72/38.78 cnf('1.1.3.1.1.1',plain,[-(aRewritingSystem0(xR))],extension(26)).
% 49.72/38.78 cnf('1.1.3.1.2',plain,[-(isTerminating0(xR))],extension(27)).
% 49.72/38.78 cnf('1.1.3.1.3',plain,[-(aElement0(26 ^ [29 ^ [], xR, 29 ^ []]))],reduction('1.1')).
% 49.72/38.78 cnf('1.1.3.1.4',plain,[-(aElement0(29 ^ []))],extension(17)).
% 49.72/38.78 cnf('1.1.3.1.5',plain,[-(sdtmndtplgtdt0(29 ^ [], xR, 26 ^ [29 ^ [], xR, 29 ^ []])), -(4 ^ [26 ^ [29 ^ [], xR, 29 ^ []], xR, 29 ^ []]), 3 ^ [26 ^ [29 ^ [], xR, 29 ^ []], xR, 29 ^ []]],extension(16,bind([[_24692, _24602, _24511], [26 ^ [29 ^ [], xR, 29 ^ []], xR, 29 ^ []]]))).
% 49.72/38.78 cnf('1.1.3.1.5.1',plain,[4 ^ [26 ^ [29 ^ [], xR, 29 ^ []], xR, 29 ^ []], aElement0(26 ^ [29 ^ [], xR, 29 ^ []]), aRewritingSystem0(xR), aElement0(29 ^ [])],extension(23,bind([[_24692, _24602, _24511], [26 ^ [29 ^ [], xR, 29 ^ []], xR, 29 ^ []]]))).
% 49.72/38.78 cnf('1.1.3.1.5.1.1',plain,[-(aElement0(26 ^ [29 ^ [], xR, 29 ^ []]))],lemmata('1.1.3.1')).
% 49.72/38.78 cnf('1.1.3.1.5.1.2',plain,[-(aRewritingSystem0(xR))],extension(26)).
% 49.72/38.78 cnf('1.1.3.1.5.1.3',plain,[-(aElement0(29 ^ []))],extension(17)).
% 49.72/38.78 cnf('1.1.3.1.5.2',plain,[-(3 ^ [26 ^ [29 ^ [], xR, 29 ^ []], xR, 29 ^ []]), aReductOfIn0(26 ^ [29 ^ [], xR, 29 ^ []], 29 ^ [], xR)],extension(15,bind([[_24692, _24511, _24602], [26 ^ [29 ^ [], xR, 29 ^ []], 29 ^ [], xR]]))).
% 49.72/38.78 cnf('1.1.3.1.5.2.1',plain,[-(aReductOfIn0(26 ^ [29 ^ [], xR, 29 ^ []], 29 ^ [], xR))],lemmata('1.1')).
% 49.72/38.78 cnf('1.1.3.2',plain,[-(34 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]), -(26 ^ [29 ^ [], xR, 29 ^ []] = 30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]), 33 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]],extension(5,bind([[_40987], [26 ^ [29 ^ [], xR, 29 ^ []]]]))).
% 49.72/38.78 cnf('1.1.3.2.1',plain,[26 ^ [29 ^ [], xR, 29 ^ []] = 30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], -(aReductOfIn0(36 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], 30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], xR)), aReductOfIn0(36 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], 26 ^ [29 ^ [], xR, 29 ^ []], xR), 36 ^ [26 ^ [29 ^ [], xR, 29 ^ []]] = 36 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], xR = xR],extension(21,bind([[_17566, _17483, _17314, _17399, _17648, _17729], [30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], 26 ^ [29 ^ [], xR, 29 ^ []], 36 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], 36 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], xR, xR]]))).
% 49.72/38.78 cnf('1.1.3.2.1.1',plain,[aReductOfIn0(36 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], 30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], xR), -(34 ^ [26 ^ [29 ^ [], xR, 29 ^ []]])],extension(6,bind([[_41295, _40987], [36 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], 26 ^ [29 ^ [], xR, 29 ^ []]]]))).
% 49.72/38.78 cnf('1.1.3.2.1.1.1',plain,[34 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]],reduction('1.1.3')).
% 49.72/38.78 cnf('1.1.3.2.1.2',plain,[-(aReductOfIn0(36 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], 26 ^ [29 ^ [], xR, 29 ^ []], xR)), aElement0(26 ^ [29 ^ [], xR, 29 ^ []]), 35 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]],extension(19,bind([[_41082], [26 ^ [29 ^ [], xR, 29 ^ []]]]))).
% 49.72/38.78 cnf('1.1.3.2.1.2.1',plain,[-(aElement0(26 ^ [29 ^ [], xR, 29 ^ []]))],reduction('1.1')).
% 49.72/38.78 cnf('1.1.3.2.1.2.2',plain,[-(35 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]), aReductOfIn0(26 ^ [29 ^ [], xR, 29 ^ []], 29 ^ [], xR)],extension(3,bind([[_41082], [26 ^ [29 ^ [], xR, 29 ^ []]]]))).
% 49.72/38.78 cnf('1.1.3.2.1.2.2.1',plain,[-(aReductOfIn0(26 ^ [29 ^ [], xR, 29 ^ []], 29 ^ [], xR))],lemmata('1.1')).
% 49.72/38.78 cnf('1.1.3.2.1.3',plain,[-(36 ^ [26 ^ [29 ^ [], xR, 29 ^ []]] = 36 ^ [26 ^ [29 ^ [], xR, 29 ^ []]])],extension(20,bind([[_15052], [36 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]]]))).
% 49.72/38.78 cnf('1.1.3.2.1.4',plain,[-(xR = xR)],extension(20,bind([[_15052], [xR]]))).
% 49.72/38.78 cnf('1.1.3.2.2',plain,[-(33 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]), -(sdtmndtplgtdt0(26 ^ [29 ^ [], xR, 29 ^ []], xR, 30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]))],extension(4,bind([[_40987], [26 ^ [29 ^ [], xR, 29 ^ []]]]))).
% 49.72/38.78 cnf('1.1.3.2.2.1',plain,[sdtmndtplgtdt0(26 ^ [29 ^ [], xR, 29 ^ []], xR, 30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]), -(35 ^ [30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]]), aElement0(26 ^ [29 ^ [], xR, 29 ^ []]), aReductOfIn0(26 ^ [29 ^ [], xR, 29 ^ []], 29 ^ [], xR)],extension(1,bind([[_41082, _41114], [30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], 26 ^ [29 ^ [], xR, 29 ^ []]]]))).
% 49.72/38.78 cnf('1.1.3.2.2.1.1',plain,[35 ^ [30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]], aElement0(30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]), -(aReductOfIn0(36 ^ [30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]], 30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], xR))],extension(19,bind([[_41082], [30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]]]))).
% 49.72/38.78 cnf('1.1.3.2.2.1.1.1',plain,[-(aElement0(30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]])), -(34 ^ [26 ^ [29 ^ [], xR, 29 ^ []]])],extension(7,bind([[_40987], [26 ^ [29 ^ [], xR, 29 ^ []]]]))).
% 49.72/38.78 cnf('1.1.3.2.2.1.1.1.1',plain,[34 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]],reduction('1.1.3')).
% 49.72/38.78 cnf('1.1.3.2.2.1.1.2',plain,[aReductOfIn0(36 ^ [30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]], 30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]], xR), -(34 ^ [26 ^ [29 ^ [], xR, 29 ^ []]])],extension(6,bind([[_41295, _40987], [36 ^ [30 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]], 26 ^ [29 ^ [], xR, 29 ^ []]]]))).
% 49.72/38.78 cnf('1.1.3.2.2.1.1.2.1',plain,[34 ^ [26 ^ [29 ^ [], xR, 29 ^ []]]],reduction('1.1.3')).
% 49.72/38.78 cnf('1.1.3.2.2.1.2',plain,[-(aElement0(26 ^ [29 ^ [], xR, 29 ^ []]))],reduction('1.1')).
% 49.72/38.78 cnf('1.1.3.2.2.1.3',plain,[-(aReductOfIn0(26 ^ [29 ^ [], xR, 29 ^ []], 29 ^ [], xR))],lemmata('1.1')).
% 49.72/38.78 %-----------------------------------------------------
% 49.72/38.78
% 49.72/38.78 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------