%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET790+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:40:05 EDT 2024
% Result : Theorem 19.76s 19.99s
% Output : Refutation 19.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SET790+4 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n016.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 18:49:37 EDT 2024
% 0.14/0.35 % CPUTime :
% 19.76/19.99 % Version: 1.5
% 19.76/19.99 % SZS status Theorem
% 19.76/19.99 % SZS output start CNFRefutation
% 19.76/19.99 fof(thIV2,conjecture,(![R]:(![E]:(![M]:((order(R,E)&least(M,R,E))=>(![X]:(least(X,R,E)=>M=X)))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIV2)).
% 19.76/19.99 fof(c12,negated_conjecture,(~(![R]:(![E]:(![M]:((order(R,E)&least(M,R,E))=>(![X]:(least(X,R,E)=>M=X))))))),inference(assume_negation,[status(cth)],[thIV2])).
% 19.76/19.99 fof(c13,negated_conjecture,(?[R]:(?[E]:(?[M]:((order(R,E)&least(M,R,E))&(?[X]:(least(X,R,E)&M!=X)))))),inference(fof_nnf,[status(thm)],[c12])).
% 19.76/19.99 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((order(X2,X3)&least(X4,X2,X3))&(?[X5]:(least(X5,X2,X3)&X4!=X5)))))),inference(variable_rename,[status(thm)],[c13])).
% 19.76/19.99 fof(c15,negated_conjecture,((order(skolem0001,skolem0002)&least(skolem0003,skolem0001,skolem0002))&(least(skolem0004,skolem0001,skolem0002)&skolem0003!=skolem0004)),inference(skolemize,[status(esa)],[c14])).
% 19.76/19.99 cnf(c19,negated_conjecture,skolem0003!=skolem0004,inference(split_conjunct,[status(thm)],[c15])).
% 19.76/19.99 cnf(symmetry,axiom,X100!=X99|X99=X100,theory(equality)).
% 19.76/19.99 cnf(c16,negated_conjecture,order(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c15])).
% 19.76/19.99 cnf(c18,negated_conjecture,least(skolem0004,skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c15])).
% 19.76/19.99 fof(least,axiom,(![R]:(![E]:(![M]:(least(M,R,E)<=>(member(M,E)&(![X]:(member(X,E)=>apply(R,M,X)))))))),file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', least)).
% 19.76/19.99 fof(c66,plain,(![R]:(![E]:(![M]:((~least(M,R,E)|(member(M,E)&(![X]:(~member(X,E)|apply(R,M,X)))))&((~member(M,E)|(?[X]:(member(X,E)&~apply(R,M,X))))|least(M,R,E)))))),inference(fof_nnf,[status(thm)],[least])).
% 19.76/19.99 fof(c67,plain,((![R]:(![E]:(![M]:(~least(M,R,E)|(member(M,E)&(![X]:(~member(X,E)|apply(R,M,X))))))))&(![R]:(![E]:(![M]:((~member(M,E)|(?[X]:(member(X,E)&~apply(R,M,X))))|least(M,R,E)))))),inference(shift_quantors,[status(thm)],[c66])).
% 19.76/19.99 fof(c68,plain,((![X42]:(![X43]:(![X44]:(~least(X44,X42,X43)|(member(X44,X43)&(![X45]:(~member(X45,X43)|apply(X42,X44,X45))))))))&(![X46]:(![X47]:(![X48]:((~member(X48,X47)|(?[X49]:(member(X49,X47)&~apply(X46,X48,X49))))|least(X48,X46,X47)))))),inference(variable_rename,[status(thm)],[c67])).
% 19.76/19.99 fof(c70,plain,(![X42]:(![X43]:(![X44]:(![X45]:(![X46]:(![X47]:(![X48]:((~least(X44,X42,X43)|(member(X44,X43)&(~member(X45,X43)|apply(X42,X44,X45))))&((~member(X48,X47)|(member(skolem0009(X46,X47,X48),X47)&~apply(X46,X48,skolem0009(X46,X47,X48))))|least(X48,X46,X47)))))))))),inference(shift_quantors,[status(thm)],[fof(c69,plain,((![X42]:(![X43]:(![X44]:(~least(X44,X42,X43)|(member(X44,X43)&(![X45]:(~member(X45,X43)|apply(X42,X44,X45))))))))&(![X46]:(![X47]:(![X48]:((~member(X48,X47)|(member(skolem0009(X46,X47,X48),X47)&~apply(X46,X48,skolem0009(X46,X47,X48))))|least(X48,X46,X47)))))),inference(skolemize,[status(esa)],[c68])).])).
% 19.76/19.99 fof(c71,plain,(![X42]:(![X43]:(![X44]:(![X45]:(![X46]:(![X47]:(![X48]:(((~least(X44,X42,X43)|member(X44,X43))&(~least(X44,X42,X43)|(~member(X45,X43)|apply(X42,X44,X45))))&(((~member(X48,X47)|member(skolem0009(X46,X47,X48),X47))|least(X48,X46,X47))&((~member(X48,X47)|~apply(X46,X48,skolem0009(X46,X47,X48)))|least(X48,X46,X47))))))))))),inference(distribute,[status(thm)],[c70])).
% 19.76/19.99 cnf(c72,plain,~least(X121,X120,X122)|member(X121,X122),inference(split_conjunct,[status(thm)],[c71])).
% 19.76/19.99 cnf(c190,plain,member(skolem0004,skolem0002),inference(resolution,[status(thm)],[c72, c18])).
% 19.76/19.99 cnf(c17,negated_conjecture,least(skolem0003,skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c15])).
% 19.76/19.99 cnf(c189,plain,member(skolem0003,skolem0002),inference(resolution,[status(thm)],[c72, c17])).
% 19.76/19.99 cnf(c73,plain,~least(X168,X167,X169)|~member(X170,X169)|apply(X167,X168,X170),inference(split_conjunct,[status(thm)],[c71])).
% 19.76/19.99 cnf(c204,plain,~member(X178,skolem0002)|apply(skolem0001,skolem0004,X178),inference(resolution,[status(thm)],[c73, c18])).
% 19.76/19.99 cnf(c213,plain,apply(skolem0001,skolem0004,skolem0003),inference(resolution,[status(thm)],[c204, c189])).
% 19.76/19.99 cnf(c203,plain,~member(X171,skolem0002)|apply(skolem0001,skolem0003,X171),inference(resolution,[status(thm)],[c73, c17])).
% 19.76/19.99 cnf(c208,plain,apply(skolem0001,skolem0003,skolem0004),inference(resolution,[status(thm)],[c203, c190])).
% 19.76/19.99 fof(order,axiom,(![R]:(![E]:(order(R,E)<=>(((![X]:(member(X,E)=>apply(R,X,X)))&(![X]:(![Y]:((member(X,E)&member(Y,E))=>((apply(R,X,Y)&apply(R,Y,X))=>X=Y)))))&(![X]:(![Y]:(![Z]:(((member(X,E)&member(Y,E))&member(Z,E))=>((apply(R,X,Y)&apply(R,Y,Z))=>apply(R,X,Z)))))))))),file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', order)).
% 19.76/19.99 fof(c116,plain,(![R]:(![E]:((~order(R,E)|(((![X]:(~member(X,E)|apply(R,X,X)))&(![X]:(![Y]:((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y)))))&(![X]:(![Y]:(![Z]:(((~member(X,E)|~member(Y,E))|~member(Z,E))|((~apply(R,X,Y)|~apply(R,Y,Z))|apply(R,X,Z))))))))&((((?[X]:(member(X,E)&~apply(R,X,X)))|(?[X]:(?[Y]:((member(X,E)&member(Y,E))&((apply(R,X,Y)&apply(R,Y,X))&X!=Y)))))|(?[X]:(?[Y]:(?[Z]:(((member(X,E)&member(Y,E))&member(Z,E))&((apply(R,X,Y)&apply(R,Y,Z))&~apply(R,X,Z)))))))|order(R,E))))),inference(fof_nnf,[status(thm)],[order])).
% 19.76/19.99 fof(c117,plain,((![R]:(![E]:(~order(R,E)|(((![X]:(~member(X,E)|apply(R,X,X)))&(![X]:(![Y]:((~member(X,E)|~member(Y,E))|((~apply(R,X,Y)|~apply(R,Y,X))|X=Y)))))&(![X]:(![Y]:(![Z]:(((~member(X,E)|~member(Y,E))|~member(Z,E))|((~apply(R,X,Y)|~apply(R,Y,Z))|apply(R,X,Z))))))))))&(![R]:(![E]:((((?[X]:(member(X,E)&~apply(R,X,X)))|(?[X]:(?[Y]:((member(X,E)&member(Y,E))&((apply(R,X,Y)&apply(R,Y,X))&X!=Y)))))|(?[X]:(?[Y]:(?[Z]:(((member(X,E)&member(Y,E))&member(Z,E))&((apply(R,X,Y)&apply(R,Y,Z))&~apply(R,X,Z)))))))|order(R,E))))),inference(shift_quantors,[status(thm)],[c116])).
% 19.76/19.99 fof(c118,plain,((![X82]:(![X83]:(~order(X82,X83)|(((![X84]:(~member(X84,X83)|apply(X82,X84,X84)))&(![X85]:(![X86]:((~member(X85,X83)|~member(X86,X83))|((~apply(X82,X85,X86)|~apply(X82,X86,X85))|X85=X86)))))&(![X87]:(![X88]:(![X89]:(((~member(X87,X83)|~member(X88,X83))|~member(X89,X83))|((~apply(X82,X87,X88)|~apply(X82,X88,X89))|apply(X82,X87,X89))))))))))&(![X90]:(![X91]:((((?[X92]:(member(X92,X91)&~apply(X90,X92,X92)))|(?[X93]:(?[X94]:((member(X93,X91)&member(X94,X91))&((apply(X90,X93,X94)&apply(X90,X94,X93))&X93!=X94)))))|(?[X95]:(?[X96]:(?[X97]:(((member(X95,X91)&member(X96,X91))&member(X97,X91))&((apply(X90,X95,X96)&apply(X90,X96,X97))&~apply(X90,X95,X97)))))))|order(X90,X91))))),inference(variable_rename,[status(thm)],[c117])).
% 19.76/19.99 fof(c120,plain,(![X82]:(![X83]:(![X84]:(![X85]:(![X86]:(![X87]:(![X88]:(![X89]:(![X90]:(![X91]:((~order(X82,X83)|(((~member(X84,X83)|apply(X82,X84,X84))&((~member(X85,X83)|~member(X86,X83))|((~apply(X82,X85,X86)|~apply(X82,X86,X85))|X85=X86)))&(((~member(X87,X83)|~member(X88,X83))|~member(X89,X83))|((~apply(X82,X87,X88)|~apply(X82,X88,X89))|apply(X82,X87,X89)))))&((((member(skolem0015(X90,X91),X91)&~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91)))|((member(skolem0016(X90,X91),X91)&member(skolem0017(X90,X91),X91))&((apply(X90,skolem0016(X90,X91),skolem0017(X90,X91))&apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))&skolem0016(X90,X91)!=skolem0017(X90,X91))))|(((member(skolem0018(X90,X91),X91)&member(skolem0019(X90,X91),X91))&member(skolem0020(X90,X91),X91))&((apply(X90,skolem0018(X90,X91),skolem0019(X90,X91))&apply(X90,skolem0019(X90,X91),skolem0020(X90,X91)))&~apply(X90,skolem0018(X90,X91),skolem0020(X90,X91)))))|order(X90,X91))))))))))))),inference(shift_quantors,[status(thm)],[fof(c119,plain,((![X82]:(![X83]:(~order(X82,X83)|(((![X84]:(~member(X84,X83)|apply(X82,X84,X84)))&(![X85]:(![X86]:((~member(X85,X83)|~member(X86,X83))|((~apply(X82,X85,X86)|~apply(X82,X86,X85))|X85=X86)))))&(![X87]:(![X88]:(![X89]:(((~member(X87,X83)|~member(X88,X83))|~member(X89,X83))|((~apply(X82,X87,X88)|~apply(X82,X88,X89))|apply(X82,X87,X89))))))))))&(![X90]:(![X91]:((((member(skolem0015(X90,X91),X91)&~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91)))|((member(skolem0016(X90,X91),X91)&member(skolem0017(X90,X91),X91))&((apply(X90,skolem0016(X90,X91),skolem0017(X90,X91))&apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))&skolem0016(X90,X91)!=skolem0017(X90,X91))))|(((member(skolem0018(X90,X91),X91)&member(skolem0019(X90,X91),X91))&member(skolem0020(X90,X91),X91))&((apply(X90,skolem0018(X90,X91),skolem0019(X90,X91))&apply(X90,skolem0019(X90,X91),skolem0020(X90,X91)))&~apply(X90,skolem0018(X90,X91),skolem0020(X90,X91)))))|order(X90,X91))))),inference(skolemize,[status(esa)],[c118])).])).
% 19.76/19.99 fof(c121,plain,(![X82]:(![X83]:(![X84]:(![X85]:(![X86]:(![X87]:(![X88]:(![X89]:(![X90]:(![X91]:((((~order(X82,X83)|(~member(X84,X83)|apply(X82,X84,X84)))&(~order(X82,X83)|((~member(X85,X83)|~member(X86,X83))|((~apply(X82,X85,X86)|~apply(X82,X86,X85))|X85=X86))))&(~order(X82,X83)|(((~member(X87,X83)|~member(X88,X83))|~member(X89,X83))|((~apply(X82,X87,X88)|~apply(X82,X88,X89))|apply(X82,X87,X89)))))&(((((((((member(skolem0015(X90,X91),X91)|member(skolem0016(X90,X91),X91))|member(skolem0018(X90,X91),X91))|order(X90,X91))&(((member(skolem0015(X90,X91),X91)|member(skolem0016(X90,X91),X91))|member(skolem0019(X90,X91),X91))|order(X90,X91)))&(((member(skolem0015(X90,X91),X91)|member(skolem0016(X90,X91),X91))|member(skolem0020(X90,X91),X91))|order(X90,X91)))&(((((member(skolem0015(X90,X91),X91)|member(skolem0016(X90,X91),X91))|apply(X90,skolem0018(X90,X91),skolem0019(X90,X91)))|order(X90,X91))&(((member(skolem0015(X90,X91),X91)|member(skolem0016(X90,X91),X91))|apply(X90,skolem0019(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))&(((member(skolem0015(X90,X91),X91)|member(skolem0016(X90,X91),X91))|~apply(X90,skolem0018(X90,X91),skolem0020(X90,X91)))|order(X90,X91))))&((((((member(skolem0015(X90,X91),X91)|member(skolem0017(X90,X91),X91))|member(skolem0018(X90,X91),X91))|order(X90,X91))&(((member(skolem0015(X90,X91),X91)|member(skolem0017(X90,X91),X91))|member(skolem0019(X90,X91),X91))|order(X90,X91)))&(((member(skolem0015(X90,X91),X91)|member(skolem0017(X90,X91),X91))|member(skolem0020(X90,X91),X91))|order(X90,X91)))&(((((member(skolem0015(X90,X91),X91)|member(skolem0017(X90,X91),X91))|apply(X90,skolem0018(X90,X91),skolem0019(X90,X91)))|order(X90,X91))&(((member(skolem0015(X90,X91),X91)|member(skolem0017(X90,X91),X91))|apply(X90,skolem0019(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))&(((member(skolem0015(X90,X91),X91)|member(skolem0017(X90,X91),X91))|~apply(X90,skolem0018(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))))&((((((((member(skolem0015(X90,X91),X91)|apply(X90,skolem0016(X90,X91),skolem0017(X90,X91)))|member(skolem0018(X90,X91),X91))|order(X90,X91))&(((member(skolem0015(X90,X91),X91)|apply(X90,skolem0016(X90,X91),skolem0017(X90,X91)))|member(skolem0019(X90,X91),X91))|order(X90,X91)))&(((member(skolem0015(X90,X91),X91)|apply(X90,skolem0016(X90,X91),skolem0017(X90,X91)))|member(skolem0020(X90,X91),X91))|order(X90,X91)))&(((((member(skolem0015(X90,X91),X91)|apply(X90,skolem0016(X90,X91),skolem0017(X90,X91)))|apply(X90,skolem0018(X90,X91),skolem0019(X90,X91)))|order(X90,X91))&(((member(skolem0015(X90,X91),X91)|apply(X90,skolem0016(X90,X91),skolem0017(X90,X91)))|apply(X90,skolem0019(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))&(((member(skolem0015(X90,X91),X91)|apply(X90,skolem0016(X90,X91),skolem0017(X90,X91)))|~apply(X90,skolem0018(X90,X91),skolem0020(X90,X91)))|order(X90,X91))))&((((((member(skolem0015(X90,X91),X91)|apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))|member(skolem0018(X90,X91),X91))|order(X90,X91))&(((member(skolem0015(X90,X91),X91)|apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))|member(skolem0019(X90,X91),X91))|order(X90,X91)))&(((member(skolem0015(X90,X91),X91)|apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))|member(skolem0020(X90,X91),X91))|order(X90,X91)))&(((((member(skolem0015(X90,X91),X91)|apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))|apply(X90,skolem0018(X90,X91),skolem0019(X90,X91)))|order(X90,X91))&(((member(skolem0015(X90,X91),X91)|apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))|apply(X90,skolem0019(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))&(((member(skolem0015(X90,X91),X91)|apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))|~apply(X90,skolem0018(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))))&((((((member(skolem0015(X90,X91),X91)|skolem0016(X90,X91)!=skolem0017(X90,X91))|member(skolem0018(X90,X91),X91))|order(X90,X91))&(((member(skolem0015(X90,X91),X91)|skolem0016(X90,X91)!=skolem0017(X90,X91))|member(skolem0019(X90,X91),X91))|order(X90,X91)))&(((member(skolem0015(X90,X91),X91)|skolem0016(X90,X91)!=skolem0017(X90,X91))|member(skolem0020(X90,X91),X91))|order(X90,X91)))&(((((member(skolem0015(X90,X91),X91)|skolem0016(X90,X91)!=skolem0017(X90,X91))|apply(X90,skolem0018(X90,X91),skolem0019(X90,X91)))|order(X90,X91))&(((member(skolem0015(X90,X91),X91)|skolem0016(X90,X91)!=skolem0017(X90,X91))|apply(X90,skolem0019(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))&(((member(skolem0015(X90,X91),X91)|skolem0016(X90,X91)!=skolem0017(X90,X91))|~apply(X90,skolem0018(X90,X91),skolem0020(X90,X91)))|order(X90,X91))))))&((((((((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|member(skolem0016(X90,X91),X91))|member(skolem0018(X90,X91),X91))|order(X90,X91))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|member(skolem0016(X90,X91),X91))|member(skolem0019(X90,X91),X91))|order(X90,X91)))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|member(skolem0016(X90,X91),X91))|member(skolem0020(X90,X91),X91))|order(X90,X91)))&(((((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|member(skolem0016(X90,X91),X91))|apply(X90,skolem0018(X90,X91),skolem0019(X90,X91)))|order(X90,X91))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|member(skolem0016(X90,X91),X91))|apply(X90,skolem0019(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|member(skolem0016(X90,X91),X91))|~apply(X90,skolem0018(X90,X91),skolem0020(X90,X91)))|order(X90,X91))))&((((((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|member(skolem0017(X90,X91),X91))|member(skolem0018(X90,X91),X91))|order(X90,X91))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|member(skolem0017(X90,X91),X91))|member(skolem0019(X90,X91),X91))|order(X90,X91)))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|member(skolem0017(X90,X91),X91))|member(skolem0020(X90,X91),X91))|order(X90,X91)))&(((((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|member(skolem0017(X90,X91),X91))|apply(X90,skolem0018(X90,X91),skolem0019(X90,X91)))|order(X90,X91))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|member(skolem0017(X90,X91),X91))|apply(X90,skolem0019(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|member(skolem0017(X90,X91),X91))|~apply(X90,skolem0018(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))))&((((((((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|apply(X90,skolem0016(X90,X91),skolem0017(X90,X91)))|member(skolem0018(X90,X91),X91))|order(X90,X91))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|apply(X90,skolem0016(X90,X91),skolem0017(X90,X91)))|member(skolem0019(X90,X91),X91))|order(X90,X91)))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|apply(X90,skolem0016(X90,X91),skolem0017(X90,X91)))|member(skolem0020(X90,X91),X91))|order(X90,X91)))&(((((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|apply(X90,skolem0016(X90,X91),skolem0017(X90,X91)))|apply(X90,skolem0018(X90,X91),skolem0019(X90,X91)))|order(X90,X91))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|apply(X90,skolem0016(X90,X91),skolem0017(X90,X91)))|apply(X90,skolem0019(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|apply(X90,skolem0016(X90,X91),skolem0017(X90,X91)))|~apply(X90,skolem0018(X90,X91),skolem0020(X90,X91)))|order(X90,X91))))&((((((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))|member(skolem0018(X90,X91),X91))|order(X90,X91))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))|member(skolem0019(X90,X91),X91))|order(X90,X91)))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))|member(skolem0020(X90,X91),X91))|order(X90,X91)))&(((((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))|apply(X90,skolem0018(X90,X91),skolem0019(X90,X91)))|order(X90,X91))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))|apply(X90,skolem0019(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|apply(X90,skolem0017(X90,X91),skolem0016(X90,X91)))|~apply(X90,skolem0018(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))))&((((((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|skolem0016(X90,X91)!=skolem0017(X90,X91))|member(skolem0018(X90,X91),X91))|order(X90,X91))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|skolem0016(X90,X91)!=skolem0017(X90,X91))|member(skolem0019(X90,X91),X91))|order(X90,X91)))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|skolem0016(X90,X91)!=skolem0017(X90,X91))|member(skolem0020(X90,X91),X91))|order(X90,X91)))&(((((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|skolem0016(X90,X91)!=skolem0017(X90,X91))|apply(X90,skolem0018(X90,X91),skolem0019(X90,X91)))|order(X90,X91))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|skolem0016(X90,X91)!=skolem0017(X90,X91))|apply(X90,skolem0019(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))&(((~apply(X90,skolem0015(X90,X91),skolem0015(X90,X91))|skolem0016(X90,X91)!=skolem0017(X90,X91))|~apply(X90,skolem0018(X90,X91),skolem0020(X90,X91)))|order(X90,X91)))))))))))))))))),inference(distribute,[status(thm)],[c120])).
% 19.76/19.99 cnf(c123,plain,~order(X410,X408)|~member(X409,X408)|~member(X407,X408)|~apply(X410,X409,X407)|~apply(X410,X407,X409)|X409=X407,inference(split_conjunct,[status(thm)],[c121])).
% 19.76/19.99 cnf(c690,plain,~order(skolem0001,X3926)|~member(skolem0004,X3926)|~member(skolem0003,X3926)|~apply(skolem0001,skolem0004,skolem0003)|skolem0004=skolem0003,inference(resolution,[status(thm)],[c123, c208])).
% 19.76/19.99 cnf(c33842,plain,~order(skolem0001,X3927)|~member(skolem0004,X3927)|~member(skolem0003,X3927)|skolem0004=skolem0003,inference(resolution,[status(thm)],[c690, c213])).
% 19.76/19.99 cnf(c33891,plain,~order(skolem0001,skolem0002)|~member(skolem0004,skolem0002)|skolem0004=skolem0003,inference(resolution,[status(thm)],[c33842, c189])).
% 19.76/19.99 cnf(c33892,plain,~order(skolem0001,skolem0002)|skolem0004=skolem0003,inference(resolution,[status(thm)],[c33891, c190])).
% 19.76/19.99 cnf(c33908,plain,skolem0004=skolem0003,inference(resolution,[status(thm)],[c33892, c16])).
% 19.76/19.99 cnf(c34003,plain,skolem0003=skolem0004,inference(resolution,[status(thm)],[c33908, symmetry])).
% 19.76/19.99 cnf(c34422,plain,$false,inference(resolution,[status(thm)],[c34003, c19])).
% 19.76/19.99 % SZS output end CNFRefutation
% 19.76/19.99
% 19.76/19.99 % Initial clauses : 124
% 19.76/19.99 % Processed clauses : 1288
% 19.76/19.99 % Factors computed : 122
% 19.76/19.99 % Resolvents computed: 34177
% 19.76/19.99 % Tautologies deleted: 5
% 19.76/19.99 % Forward subsumed : 796
% 19.76/19.99 % Backward subsumed : 45
% 19.76/19.99 % -------- CPU Time ---------
% 19.76/19.99 % User time : 19.528 s
% 19.76/19.99 % System time : 0.112 s
% 19.76/19.99 % Total time : 19.640 s
%------------------------------------------------------------------------------