TSTP Solution File: LAT381+1 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LAT381+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 : 300s
% DateTime : Thu May 9 17:30:11 EDT 2024
% Result : Theorem 0.66s 0.82s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LAT381+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed May 8 12:54:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.66/0.82 % Version: 1.5
% 0.66/0.82 % SZS status Theorem
% 0.66/0.82 % SZS output start CNFRefutation
% 0.66/0.82 fof(m__,conjecture,xu=xv,file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__)).
% 0.66/0.82 fof(c10,negated_conjecture,(~xu=xv),inference(assume_negation,[status(cth)],[m__])).
% 0.66/0.82 fof(c11,negated_conjecture,xu!=xv,inference(fof_simplification,[status(thm)],[c10])).
% 0.66/0.82 cnf(c12,negated_conjecture,xu!=xv,inference(split_conjunct,[status(thm)],[c11])).
% 0.66/0.82 cnf(symmetry,axiom,X44!=X43|X43=X44,theory(equality)).
% 0.66/0.82 fof(m__725,plain,aSet0(xT),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__725)).
% 0.66/0.82 cnf(c16,plain,aSet0(xT),inference(split_conjunct,[status(thm)],[m__725])).
% 0.66/0.82 fof(mEOfElem,axiom,(![W0]:(aSet0(W0)=>(![W1]:(aElementOf0(W1,W0)=>aElement0(W1))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mEOfElem)).
% 0.66/0.82 fof(c87,plain,(![W0]:(~aSet0(W0)|(![W1]:(~aElementOf0(W1,W0)|aElement0(W1))))),inference(fof_nnf,[status(thm)],[mEOfElem])).
% 0.66/0.82 fof(c89,plain,(![X40]:(![X41]:(~aSet0(X40)|(~aElementOf0(X41,X40)|aElement0(X41))))),inference(shift_quantors,[status(thm)],[fof(c88,plain,(![X40]:(~aSet0(X40)|(![X41]:(~aElementOf0(X41,X40)|aElement0(X41))))),inference(variable_rename,[status(thm)],[c87])).])).
% 0.66/0.82 cnf(c90,plain,~aSet0(X71)|~aElementOf0(X70,X71)|aElement0(X70),inference(split_conjunct,[status(thm)],[c89])).
% 0.66/0.82 fof(m__725_01,plain,aSubsetOf0(xS,xT),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__725_01)).
% 0.66/0.82 cnf(c15,plain,aSubsetOf0(xS,xT),inference(split_conjunct,[status(thm)],[m__725_01])).
% 0.66/0.82 fof(m__744,plain,(aSupremumOfIn0(xu,xS,xT)&aSupremumOfIn0(xv,xS,xT)),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', m__744)).
% 0.66/0.82 cnf(c14,plain,aSupremumOfIn0(xv,xS,xT),inference(split_conjunct,[status(thm)],[m__744])).
% 0.66/0.82 fof(mDefSup,plain,(![W0]:(aSet0(W0)=>(![W1]:(aSubsetOf0(W1,W0)=>(![W2]:(aSupremumOfIn0(W2,W1,W0)<=>((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]:(aUpperBoundOfIn0(W3,W1,W0)=>sdtlseqdt0(W2,W3)))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mDefSup)).
% 0.66/0.82 fof(c17,plain,(![W0]:(~aSet0(W0)|(![W1]:(~aSubsetOf0(W1,W0)|(![W2]:((~aSupremumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]:(~aUpperBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W2,W3)))))&(((~aElementOf0(W2,W0)|~aUpperBoundOfIn0(W2,W1,W0))|(?[W3]:(aUpperBoundOfIn0(W3,W1,W0)&~sdtlseqdt0(W2,W3))))|aSupremumOfIn0(W2,W1,W0)))))))),inference(fof_nnf,[status(thm)],[mDefSup])).
% 0.66/0.82 fof(c18,plain,(![W0]:(~aSet0(W0)|(![W1]:(~aSubsetOf0(W1,W0)|((![W2]:(~aSupremumOfIn0(W2,W1,W0)|((aElementOf0(W2,W0)&aUpperBoundOfIn0(W2,W1,W0))&(![W3]:(~aUpperBoundOfIn0(W3,W1,W0)|sdtlseqdt0(W2,W3))))))&(![W2]:(((~aElementOf0(W2,W0)|~aUpperBoundOfIn0(W2,W1,W0))|(?[W3]:(aUpperBoundOfIn0(W3,W1,W0)&~sdtlseqdt0(W2,W3))))|aSupremumOfIn0(W2,W1,W0)))))))),inference(shift_quantors,[status(thm)],[c17])).
% 0.66/0.82 fof(c19,plain,(![X2]:(~aSet0(X2)|(![X3]:(~aSubsetOf0(X3,X2)|((![X4]:(~aSupremumOfIn0(X4,X3,X2)|((aElementOf0(X4,X2)&aUpperBoundOfIn0(X4,X3,X2))&(![X5]:(~aUpperBoundOfIn0(X5,X3,X2)|sdtlseqdt0(X4,X5))))))&(![X6]:(((~aElementOf0(X6,X2)|~aUpperBoundOfIn0(X6,X3,X2))|(?[X7]:(aUpperBoundOfIn0(X7,X3,X2)&~sdtlseqdt0(X6,X7))))|aSupremumOfIn0(X6,X3,X2)))))))),inference(variable_rename,[status(thm)],[c18])).
% 0.66/0.82 fof(c21,plain,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:(~aSet0(X2)|(~aSubsetOf0(X3,X2)|((~aSupremumOfIn0(X4,X3,X2)|((aElementOf0(X4,X2)&aUpperBoundOfIn0(X4,X3,X2))&(~aUpperBoundOfIn0(X5,X3,X2)|sdtlseqdt0(X4,X5))))&(((~aElementOf0(X6,X2)|~aUpperBoundOfIn0(X6,X3,X2))|(aUpperBoundOfIn0(skolem0001(X2,X3,X6),X3,X2)&~sdtlseqdt0(X6,skolem0001(X2,X3,X6))))|aSupremumOfIn0(X6,X3,X2)))))))))),inference(shift_quantors,[status(thm)],[fof(c20,plain,(![X2]:(~aSet0(X2)|(![X3]:(~aSubsetOf0(X3,X2)|((![X4]:(~aSupremumOfIn0(X4,X3,X2)|((aElementOf0(X4,X2)&aUpperBoundOfIn0(X4,X3,X2))&(![X5]:(~aUpperBoundOfIn0(X5,X3,X2)|sdtlseqdt0(X4,X5))))))&(![X6]:(((~aElementOf0(X6,X2)|~aUpperBoundOfIn0(X6,X3,X2))|(aUpperBoundOfIn0(skolem0001(X2,X3,X6),X3,X2)&~sdtlseqdt0(X6,skolem0001(X2,X3,X6))))|aSupremumOfIn0(X6,X3,X2)))))))),inference(skolemize,[status(esa)],[c19])).])).
% 0.66/0.82 fof(c22,plain,(![X2]:(![X3]:(![X4]:(![X5]:(![X6]:((((~aSet0(X2)|(~aSubsetOf0(X3,X2)|(~aSupremumOfIn0(X4,X3,X2)|aElementOf0(X4,X2))))&(~aSet0(X2)|(~aSubsetOf0(X3,X2)|(~aSupremumOfIn0(X4,X3,X2)|aUpperBoundOfIn0(X4,X3,X2)))))&(~aSet0(X2)|(~aSubsetOf0(X3,X2)|(~aSupremumOfIn0(X4,X3,X2)|(~aUpperBoundOfIn0(X5,X3,X2)|sdtlseqdt0(X4,X5))))))&((~aSet0(X2)|(~aSubsetOf0(X3,X2)|(((~aElementOf0(X6,X2)|~aUpperBoundOfIn0(X6,X3,X2))|aUpperBoundOfIn0(skolem0001(X2,X3,X6),X3,X2))|aSupremumOfIn0(X6,X3,X2))))&(~aSet0(X2)|(~aSubsetOf0(X3,X2)|(((~aElementOf0(X6,X2)|~aUpperBoundOfIn0(X6,X3,X2))|~sdtlseqdt0(X6,skolem0001(X2,X3,X6)))|aSupremumOfIn0(X6,X3,X2))))))))))),inference(distribute,[status(thm)],[c21])).
% 0.66/0.82 cnf(c23,plain,~aSet0(X94)|~aSubsetOf0(X93,X94)|~aSupremumOfIn0(X95,X93,X94)|aElementOf0(X95,X94),inference(split_conjunct,[status(thm)],[c22])).
% 0.66/0.82 cnf(c122,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|aElementOf0(xv,xT),inference(resolution,[status(thm)],[c23, c14])).
% 0.66/0.82 cnf(c124,plain,~aSet0(xT)|aElementOf0(xv,xT),inference(resolution,[status(thm)],[c122, c15])).
% 0.66/0.82 cnf(c125,plain,aElementOf0(xv,xT),inference(resolution,[status(thm)],[c124, c16])).
% 0.66/0.82 cnf(c126,plain,~aSet0(xT)|aElement0(xv),inference(resolution,[status(thm)],[c125, c90])).
% 0.66/0.82 cnf(c130,plain,aElement0(xv),inference(resolution,[status(thm)],[c126, c16])).
% 0.66/0.82 cnf(c13,plain,aSupremumOfIn0(xu,xS,xT),inference(split_conjunct,[status(thm)],[m__744])).
% 0.66/0.82 cnf(c123,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|aElementOf0(xu,xT),inference(resolution,[status(thm)],[c23, c13])).
% 0.66/0.82 cnf(c154,plain,~aSet0(xT)|aElementOf0(xu,xT),inference(resolution,[status(thm)],[c123, c15])).
% 0.66/0.82 cnf(c155,plain,aElementOf0(xu,xT),inference(resolution,[status(thm)],[c154, c16])).
% 0.66/0.82 cnf(c156,plain,~aSet0(xT)|aElement0(xu),inference(resolution,[status(thm)],[c155, c90])).
% 0.66/0.82 cnf(c160,plain,aElement0(xu),inference(resolution,[status(thm)],[c156, c16])).
% 0.66/0.82 fof(mASymm,axiom,(![W0]:(![W1]:((aElement0(W0)&aElement0(W1))=>((sdtlseqdt0(W0,W1)&sdtlseqdt0(W1,W0))=>W0=W1)))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', mASymm)).
% 0.66/0.82 fof(c62,plain,(![W0]:(![W1]:((~aElement0(W0)|~aElement0(W1))|((~sdtlseqdt0(W0,W1)|~sdtlseqdt0(W1,W0))|W0=W1)))),inference(fof_nnf,[status(thm)],[mASymm])).
% 0.66/0.82 fof(c63,plain,(![X29]:(![X30]:((~aElement0(X29)|~aElement0(X30))|((~sdtlseqdt0(X29,X30)|~sdtlseqdt0(X30,X29))|X29=X30)))),inference(variable_rename,[status(thm)],[c62])).
% 0.66/0.82 cnf(c64,plain,~aElement0(X205)|~aElement0(X204)|~sdtlseqdt0(X205,X204)|~sdtlseqdt0(X204,X205)|X205=X204,inference(split_conjunct,[status(thm)],[c63])).
% 0.66/0.82 cnf(c25,plain,~aSet0(X132)|~aSubsetOf0(X130,X132)|~aSupremumOfIn0(X133,X130,X132)|~aUpperBoundOfIn0(X131,X130,X132)|sdtlseqdt0(X133,X131),inference(split_conjunct,[status(thm)],[c22])).
% 0.66/0.82 cnf(c24,plain,~aSet0(X124)|~aSubsetOf0(X123,X124)|~aSupremumOfIn0(X125,X123,X124)|aUpperBoundOfIn0(X125,X123,X124),inference(split_conjunct,[status(thm)],[c22])).
% 0.66/0.82 cnf(c146,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|aUpperBoundOfIn0(xv,xS,xT),inference(resolution,[status(thm)],[c24, c14])).
% 0.66/0.82 cnf(c260,plain,~aSet0(xT)|aUpperBoundOfIn0(xv,xS,xT),inference(resolution,[status(thm)],[c146, c15])).
% 0.66/0.82 cnf(c261,plain,aUpperBoundOfIn0(xv,xS,xT),inference(resolution,[status(thm)],[c260, c16])).
% 0.66/0.82 cnf(c263,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|~aSupremumOfIn0(X285,xS,xT)|sdtlseqdt0(X285,xv),inference(resolution,[status(thm)],[c261, c25])).
% 0.66/0.82 cnf(c492,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|sdtlseqdt0(xu,xv),inference(resolution,[status(thm)],[c263, c13])).
% 0.66/0.82 cnf(c493,plain,~aSet0(xT)|sdtlseqdt0(xu,xv),inference(resolution,[status(thm)],[c492, c15])).
% 0.66/0.82 cnf(c494,plain,sdtlseqdt0(xu,xv),inference(resolution,[status(thm)],[c493, c16])).
% 0.66/0.82 cnf(c498,plain,~aElement0(xv)|~aElement0(xu)|~sdtlseqdt0(xv,xu)|xv=xu,inference(resolution,[status(thm)],[c494, c64])).
% 0.66/0.82 cnf(c147,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|aUpperBoundOfIn0(xu,xS,xT),inference(resolution,[status(thm)],[c24, c13])).
% 0.66/0.82 cnf(c270,plain,~aSet0(xT)|aUpperBoundOfIn0(xu,xS,xT),inference(resolution,[status(thm)],[c147, c15])).
% 0.66/0.82 cnf(c271,plain,aUpperBoundOfIn0(xu,xS,xT),inference(resolution,[status(thm)],[c270, c16])).
% 0.66/0.82 cnf(c273,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|~aSupremumOfIn0(X292,xS,xT)|sdtlseqdt0(X292,xu),inference(resolution,[status(thm)],[c271, c25])).
% 0.66/0.82 cnf(c507,plain,~aSet0(xT)|~aSubsetOf0(xS,xT)|sdtlseqdt0(xv,xu),inference(resolution,[status(thm)],[c273, c14])).
% 0.66/0.82 cnf(c509,plain,~aSet0(xT)|sdtlseqdt0(xv,xu),inference(resolution,[status(thm)],[c507, c15])).
% 0.66/0.82 cnf(c510,plain,sdtlseqdt0(xv,xu),inference(resolution,[status(thm)],[c509, c16])).
% 0.66/0.82 cnf(c515,plain,~aElement0(xv)|~aElement0(xu)|xv=xu,inference(resolution,[status(thm)],[c510, c498])).
% 0.66/0.82 cnf(c520,plain,~aElement0(xv)|xv=xu,inference(resolution,[status(thm)],[c515, c160])).
% 0.66/0.82 cnf(c521,plain,xv=xu,inference(resolution,[status(thm)],[c520, c130])).
% 0.66/0.82 cnf(c522,plain,xu=xv,inference(resolution,[status(thm)],[c521, symmetry])).
% 0.66/0.82 cnf(c545,plain,$false,inference(resolution,[status(thm)],[c522, c12])).
% 0.66/0.82 % SZS output end CNFRefutation
% 0.66/0.82
% 0.66/0.82 % Initial clauses : 49
% 0.66/0.82 % Processed clauses : 204
% 0.66/0.82 % Factors computed : 10
% 0.66/0.82 % Resolvents computed: 443
% 0.66/0.82 % Tautologies deleted: 16
% 0.66/0.82 % Forward subsumed : 98
% 0.66/0.82 % Backward subsumed : 45
% 0.66/0.82 % -------- CPU Time ---------
% 0.66/0.82 % User time : 0.444 s
% 0.66/0.82 % System time : 0.017 s
% 0.66/0.82 % Total time : 0.461 s
%------------------------------------------------------------------------------