TSTP Solution File: NUM535+2 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : NUM535+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n011.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 11:41:46 EDT 2022
% Result : Theorem 3.37s 3.50s
% Output : Proof 3.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM535+2 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : leancop_casc.sh %s %d
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Wed Jul 6 19:41:53 EDT 2022
% 0.13/0.35 % CPUTime :
% 3.37/3.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.37/3.51 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.37/3.51
% 3.37/3.51 %-----------------------------------------------------
% 3.37/3.51 fof(m__, conjecture, (aSet0(sdtmndt0(xS, xx)) & ! [_49586] : (aElementOf0(_49586, sdtmndt0(xS, xx)) <=> aElement0(_49586) & aElementOf0(_49586, xS) & (! _49586) = xx) => aSet0(sdtpldt0(sdtmndt0(xS, xx), xx)) & ! [_49586] : (aElementOf0(_49586, sdtpldt0(sdtmndt0(xS, xx), xx)) <=> aElement0(_49586) & (aElementOf0(_49586, sdtmndt0(xS, xx)) | _49586 = xx)) => ! [_49586] : (aElementOf0(_49586, xS) => aElementOf0(_49586, sdtpldt0(sdtmndt0(xS, xx), xx))) | aSubsetOf0(xS, sdtpldt0(sdtmndt0(xS, xx), xx))) & (aSet0(sdtmndt0(xS, xx)) & ! [_49586] : (aElementOf0(_49586, sdtmndt0(xS, xx)) <=> aElement0(_49586) & aElementOf0(_49586, xS) & (! _49586) = xx) => aSet0(sdtpldt0(sdtmndt0(xS, xx), xx)) & ! [_49586] : (aElementOf0(_49586, sdtpldt0(sdtmndt0(xS, xx), xx)) <=> aElement0(_49586) & (aElementOf0(_49586, sdtmndt0(xS, xx)) | _49586 = xx)) => ! [_49586] : (aElementOf0(_49586, sdtpldt0(sdtmndt0(xS, xx), xx)) => aElementOf0(_49586, xS)) | aSubsetOf0(sdtpldt0(sdtmndt0(xS, xx), xx), xS)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__)).
% 3.37/3.51 fof(mEOfElem, axiom, ! [_51012] : (aSet0(_51012) => ! [_51027] : (aElementOf0(_51027, _51012) => aElement0(_51027))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', mEOfElem)).
% 3.37/3.51 fof(m__617, hypothesis, aSet0(xS), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__617)).
% 3.37/3.51 fof(m__617_02, hypothesis, aElementOf0(xx, xS), file('/export/starexec/sandbox/benchmark/theBenchmark.p', m__617_02)).
% 3.37/3.51
% 3.37/3.51 cnf(1, plain, [-(11 ^ [_27356]), -(aElementOf0(_27356, sdtmndt0(xS, xx))), -(_27356 = xx)], clausify(m__)).
% 3.37/3.51 cnf(2, plain, [-(10 ^ [_26856]), -(aElementOf0(_26856, xS))], clausify(m__)).
% 3.37/3.51 cnf(3, plain, [-(14 ^ []), aElementOf0(_27356, sdtpldt0(sdtmndt0(xS, xx), xx)), 11 ^ [_27356]], clausify(m__)).
% 3.37/3.51 cnf(4, plain, [-(14 ^ []), aElementOf0(13 ^ [], xS)], clausify(m__)).
% 3.37/3.51 cnf(5, plain, [-(14 ^ []), -(aElementOf0(13 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx)))], clausify(m__)).
% 3.37/3.51 cnf(6, plain, [-(14 ^ []), aElementOf0(_26856, sdtmndt0(xS, xx)), 10 ^ [_26856]], clausify(m__)).
% 3.37/3.51 cnf(7, plain, [-(7 ^ [_25915]), _25915 = xx], clausify(m__)).
% 3.37/3.51 cnf(8, plain, [-(7 ^ [_25915]), aElementOf0(_25915, sdtmndt0(xS, xx))], clausify(m__)).
% 3.37/3.51 cnf(9, plain, [-(9 ^ []), -(aElementOf0(_25915, sdtpldt0(sdtmndt0(xS, xx), xx))), aElement0(_25915), 7 ^ [_25915]], clausify(m__)).
% 3.37/3.51 cnf(10, plain, [-(9 ^ []), aElementOf0(8 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx))], clausify(m__)).
% 3.37/3.51 cnf(11, plain, [-(9 ^ []), -(aElementOf0(8 ^ [], xS))], clausify(m__)).
% 3.37/3.51 cnf(12, plain, [-(9 ^ []), -(aElementOf0(_25415, sdtmndt0(xS, xx))), aElement0(_25415), aElementOf0(_25415, xS), -(_25415 = xx)], clausify(m__)).
% 3.37/3.51 cnf(13, plain, [9 ^ [], 14 ^ []], clausify(m__)).
% 3.37/3.51 cnf(14, plain, [-(_13182 = _13182)], theory(equality)).
% 3.37/3.51 cnf(15, plain, [_13335 = _13380, -(_13380 = _13335)], theory(equality)).
% 3.37/3.51 cnf(16, plain, [-(aElementOf0(_14486, _14617)), aElementOf0(_14419, _14552), _14419 = _14486, _14552 = _14617], theory(equality)).
% 3.37/3.51 cnf(17, plain, [aSet0(_18481), aElementOf0(_18568, _18481), -(aElement0(_18568))], clausify(mEOfElem)).
% 3.37/3.51 cnf(18, plain, [-(aSet0(xS))], clausify(m__617)).
% 3.37/3.51 cnf(19, plain, [-(aElementOf0(xx, xS))], clausify(m__617_02)).
% 3.37/3.51
% 3.37/3.51 cnf('1',plain,[9 ^ [], 14 ^ []],start(13)).
% 3.37/3.51 cnf('1.1',plain,[-(9 ^ []), -(aElementOf0(8 ^ [], xS))],extension(11)).
% 3.37/3.51 cnf('1.1.1',plain,[aElementOf0(8 ^ [], xS), aSet0(xS), -(aElement0(8 ^ []))],extension(17,bind([[_18481, _18568], [xS, 8 ^ []]]))).
% 3.37/3.51 cnf('1.1.1.1',plain,[-(aSet0(xS))],extension(18)).
% 3.37/3.51 cnf('1.1.1.2',plain,[aElement0(8 ^ []), -(9 ^ []), -(aElementOf0(8 ^ [], sdtmndt0(xS, xx))), aElementOf0(8 ^ [], xS), -(8 ^ [] = xx)],extension(12,bind([[_25415], [8 ^ []]]))).
% 3.37/3.51 cnf('1.1.1.2.1',plain,[9 ^ []],reduction('1')).
% 3.37/3.51 cnf('1.1.1.2.2',plain,[aElementOf0(8 ^ [], sdtmndt0(xS, xx)), -(7 ^ [8 ^ []])],extension(8,bind([[_25915], [8 ^ []]]))).
% 3.37/3.51 cnf('1.1.1.2.2.1',plain,[7 ^ [8 ^ []], -(9 ^ []), -(aElementOf0(8 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx))), aElement0(8 ^ [])],extension(9,bind([[_25915], [8 ^ []]]))).
% 3.37/3.51 cnf('1.1.1.2.2.1.1',plain,[9 ^ []],lemmata('1.1.1.2')).
% 3.37/3.51 cnf('1.1.1.2.2.1.2',plain,[aElementOf0(8 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx)), -(9 ^ [])],extension(10)).
% 3.37/3.51 cnf('1.1.1.2.2.1.2.1',plain,[9 ^ []],lemmata('1.1.1.2.2.1')).
% 3.37/3.51 cnf('1.1.1.2.2.1.3',plain,[-(aElement0(8 ^ []))],reduction('1.1.1')).
% 3.37/3.51 cnf('1.1.1.2.3',plain,[-(aElementOf0(8 ^ [], xS))],reduction('1.1')).
% 3.37/3.51 cnf('1.1.1.2.4',plain,[8 ^ [] = xx, -(7 ^ [8 ^ []])],extension(7,bind([[_25915], [8 ^ []]]))).
% 3.37/3.51 cnf('1.1.1.2.4.1',plain,[7 ^ [8 ^ []], -(9 ^ []), -(aElementOf0(8 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx))), aElement0(8 ^ [])],extension(9,bind([[_25915], [8 ^ []]]))).
% 3.37/3.51 cnf('1.1.1.2.4.1.1',plain,[9 ^ []],lemmata('1.1.1.2')).
% 3.37/3.51 cnf('1.1.1.2.4.1.2',plain,[aElementOf0(8 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx)), -(9 ^ [])],extension(10)).
% 3.37/3.51 cnf('1.1.1.2.4.1.2.1',plain,[9 ^ []],lemmata('1.1.1.2.4.1')).
% 3.37/3.51 cnf('1.1.1.2.4.1.3',plain,[-(aElement0(8 ^ []))],reduction('1.1.1')).
% 3.37/3.51 cnf('1.2',plain,[-(14 ^ []), aElementOf0(13 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx)), 11 ^ [13 ^ []]],extension(3,bind([[_27356], [13 ^ []]]))).
% 3.37/3.51 cnf('1.2.1',plain,[-(aElementOf0(13 ^ [], sdtpldt0(sdtmndt0(xS, xx), xx))), -(14 ^ [])],extension(5)).
% 3.37/3.51 cnf('1.2.1.1',plain,[14 ^ []],reduction('1')).
% 3.37/3.51 cnf('1.2.2',plain,[-(11 ^ [13 ^ []]), -(aElementOf0(13 ^ [], sdtmndt0(xS, xx))), -(13 ^ [] = xx)],extension(1,bind([[_27356], [13 ^ []]]))).
% 3.37/3.51 cnf('1.2.2.1',plain,[aElementOf0(13 ^ [], sdtmndt0(xS, xx)), -(14 ^ []), 10 ^ [13 ^ []]],extension(6,bind([[_26856], [13 ^ []]]))).
% 3.37/3.51 cnf('1.2.2.1.1',plain,[14 ^ []],reduction('1')).
% 3.37/3.51 cnf('1.2.2.1.2',plain,[-(10 ^ [13 ^ []]), -(aElementOf0(13 ^ [], xS))],extension(2,bind([[_26856], [13 ^ []]]))).
% 3.37/3.51 cnf('1.2.2.1.2.1',plain,[aElementOf0(13 ^ [], xS), -(14 ^ [])],extension(4)).
% 3.37/3.51 cnf('1.2.2.1.2.1.1',plain,[14 ^ []],lemmata('1.2.2.1')).
% 3.37/3.51 cnf('1.2.2.2',plain,[13 ^ [] = xx, -(xx = 13 ^ [])],extension(15,bind([[_13380, _13335], [xx, 13 ^ []]]))).
% 3.37/3.51 cnf('1.2.2.2.1',plain,[xx = 13 ^ [], -(aElementOf0(13 ^ [], xS)), aElementOf0(xx, xS), xS = xS],extension(16,bind([[_14486, _14419, _14552, _14617], [13 ^ [], xx, xS, xS]]))).
% 3.37/3.51 cnf('1.2.2.2.1.1',plain,[aElementOf0(13 ^ [], xS), -(14 ^ [])],extension(4)).
% 3.37/3.51 cnf('1.2.2.2.1.1.1',plain,[14 ^ []],reduction('1')).
% 3.37/3.51 cnf('1.2.2.2.1.2',plain,[-(aElementOf0(xx, xS))],extension(19)).
% 3.37/3.51 cnf('1.2.2.2.1.3',plain,[-(xS = xS)],extension(14,bind([[_13182], [xS]]))).
% 3.37/3.51 %-----------------------------------------------------
% 3.37/3.52
% 3.37/3.52 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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