TSTP Solution File: SET792+4 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET792+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 54.68s 54.85s
% Output : Refutation 54.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET792+4 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n015.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 18:41:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 54.68/54.85 % Version: 1.5
% 54.68/54.85 % SZS status Theorem
% 54.68/54.85 % SZS output start CNFRefutation
% 54.68/54.85 fof(thIV4,conjecture,(![R]:(![E]:(![M]:((order(R,E)&least(M,R,E))=>min(M,R,E))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', thIV4)).
% 54.68/54.85 fof(c12,negated_conjecture,(~(![R]:(![E]:(![M]:((order(R,E)&least(M,R,E))=>min(M,R,E)))))),inference(assume_negation,[status(cth)],[thIV4])).
% 54.68/54.85 fof(c13,negated_conjecture,(?[R]:(?[E]:(?[M]:((order(R,E)&least(M,R,E))&~min(M,R,E))))),inference(fof_nnf,[status(thm)],[c12])).
% 54.68/54.85 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((order(X2,X3)&least(X4,X2,X3))&~min(X4,X2,X3))))),inference(variable_rename,[status(thm)],[c13])).
% 54.68/54.85 fof(c15,negated_conjecture,((order(skolem0001,skolem0002)&least(skolem0003,skolem0001,skolem0002))&~min(skolem0003,skolem0001,skolem0002)),inference(skolemize,[status(esa)],[c14])).
% 54.68/54.85 cnf(c18,negated_conjecture,~min(skolem0003,skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c15])).
% 54.68/54.85 cnf(c17,negated_conjecture,least(skolem0003,skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c15])).
% 54.68/54.85 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)).
% 54.68/54.85 fof(c65,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])).
% 54.68/54.85 fof(c66,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)],[c65])).
% 54.68/54.85 fof(c67,plain,((![X41]:(![X42]:(![X43]:(~least(X43,X41,X42)|(member(X43,X42)&(![X44]:(~member(X44,X42)|apply(X41,X43,X44))))))))&(![X45]:(![X46]:(![X47]:((~member(X47,X46)|(?[X48]:(member(X48,X46)&~apply(X45,X47,X48))))|least(X47,X45,X46)))))),inference(variable_rename,[status(thm)],[c66])).
% 54.68/54.85 fof(c69,plain,(![X41]:(![X42]:(![X43]:(![X44]:(![X45]:(![X46]:(![X47]:((~least(X43,X41,X42)|(member(X43,X42)&(~member(X44,X42)|apply(X41,X43,X44))))&((~member(X47,X46)|(member(skolem0008(X45,X46,X47),X46)&~apply(X45,X47,skolem0008(X45,X46,X47))))|least(X47,X45,X46)))))))))),inference(shift_quantors,[status(thm)],[fof(c68,plain,((![X41]:(![X42]:(![X43]:(~least(X43,X41,X42)|(member(X43,X42)&(![X44]:(~member(X44,X42)|apply(X41,X43,X44))))))))&(![X45]:(![X46]:(![X47]:((~member(X47,X46)|(member(skolem0008(X45,X46,X47),X46)&~apply(X45,X47,skolem0008(X45,X46,X47))))|least(X47,X45,X46)))))),inference(skolemize,[status(esa)],[c67])).])).
% 54.68/54.85 fof(c70,plain,(![X41]:(![X42]:(![X43]:(![X44]:(![X45]:(![X46]:(![X47]:(((~least(X43,X41,X42)|member(X43,X42))&(~least(X43,X41,X42)|(~member(X44,X42)|apply(X41,X43,X44))))&(((~member(X47,X46)|member(skolem0008(X45,X46,X47),X46))|least(X47,X45,X46))&((~member(X47,X46)|~apply(X45,X47,skolem0008(X45,X46,X47)))|least(X47,X45,X46))))))))))),inference(distribute,[status(thm)],[c69])).
% 54.68/54.85 cnf(c71,plain,~least(X119,X120,X121)|member(X119,X121),inference(split_conjunct,[status(thm)],[c70])).
% 54.68/54.85 cnf(c188,plain,member(skolem0003,skolem0002),inference(resolution,[status(thm)],[c71, c17])).
% 54.68/54.85 fof(min,axiom,(![R]:(![E]:(![M]:(min(M,R,E)<=>(member(M,E)&(![X]:((member(X,E)&apply(R,X,M))=>M=X))))))),file('/export/starexec/sandbox/benchmark/Axioms/SET006+3.ax', min)).
% 54.68/54.85 fof(c43,plain,(![R]:(![E]:(![M]:((~min(M,R,E)|(member(M,E)&(![X]:((~member(X,E)|~apply(R,X,M))|M=X))))&((~member(M,E)|(?[X]:((member(X,E)&apply(R,X,M))&M!=X)))|min(M,R,E)))))),inference(fof_nnf,[status(thm)],[min])).
% 54.68/54.85 fof(c44,plain,((![R]:(![E]:(![M]:(~min(M,R,E)|(member(M,E)&(![X]:((~member(X,E)|~apply(R,X,M))|M=X)))))))&(![R]:(![E]:(![M]:((~member(M,E)|(?[X]:((member(X,E)&apply(R,X,M))&M!=X)))|min(M,R,E)))))),inference(shift_quantors,[status(thm)],[c43])).
% 54.68/54.85 fof(c45,plain,((![X25]:(![X26]:(![X27]:(~min(X27,X25,X26)|(member(X27,X26)&(![X28]:((~member(X28,X26)|~apply(X25,X28,X27))|X27=X28)))))))&(![X29]:(![X30]:(![X31]:((~member(X31,X30)|(?[X32]:((member(X32,X30)&apply(X29,X32,X31))&X31!=X32)))|min(X31,X29,X30)))))),inference(variable_rename,[status(thm)],[c44])).
% 54.68/54.85 fof(c47,plain,(![X25]:(![X26]:(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:((~min(X27,X25,X26)|(member(X27,X26)&((~member(X28,X26)|~apply(X25,X28,X27))|X27=X28)))&((~member(X31,X30)|((member(skolem0006(X29,X30,X31),X30)&apply(X29,skolem0006(X29,X30,X31),X31))&X31!=skolem0006(X29,X30,X31)))|min(X31,X29,X30)))))))))),inference(shift_quantors,[status(thm)],[fof(c46,plain,((![X25]:(![X26]:(![X27]:(~min(X27,X25,X26)|(member(X27,X26)&(![X28]:((~member(X28,X26)|~apply(X25,X28,X27))|X27=X28)))))))&(![X29]:(![X30]:(![X31]:((~member(X31,X30)|((member(skolem0006(X29,X30,X31),X30)&apply(X29,skolem0006(X29,X30,X31),X31))&X31!=skolem0006(X29,X30,X31)))|min(X31,X29,X30)))))),inference(skolemize,[status(esa)],[c45])).])).
% 54.68/54.85 fof(c48,plain,(![X25]:(![X26]:(![X27]:(![X28]:(![X29]:(![X30]:(![X31]:(((~min(X27,X25,X26)|member(X27,X26))&(~min(X27,X25,X26)|((~member(X28,X26)|~apply(X25,X28,X27))|X27=X28)))&((((~member(X31,X30)|member(skolem0006(X29,X30,X31),X30))|min(X31,X29,X30))&((~member(X31,X30)|apply(X29,skolem0006(X29,X30,X31),X31))|min(X31,X29,X30)))&((~member(X31,X30)|X31!=skolem0006(X29,X30,X31))|min(X31,X29,X30))))))))))),inference(distribute,[status(thm)],[c47])).
% 54.68/54.85 cnf(c53,plain,~member(X221,X220)|X221!=skolem0006(X219,X220,X221)|min(X221,X219,X220),inference(split_conjunct,[status(thm)],[c48])).
% 54.68/54.85 cnf(symmetry,axiom,X98!=X99|X99=X98,theory(equality)).
% 54.68/54.85 cnf(c16,negated_conjecture,order(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c15])).
% 54.68/54.85 cnf(c51,plain,~member(X218,X217)|member(skolem0006(X216,X217,X218),X217)|min(X218,X216,X217),inference(split_conjunct,[status(thm)],[c48])).
% 54.68/54.85 cnf(c224,plain,member(skolem0006(X305,skolem0002,skolem0003),skolem0002)|min(skolem0003,X305,skolem0002),inference(resolution,[status(thm)],[c51, c188])).
% 54.68/54.85 cnf(c332,plain,member(skolem0006(skolem0001,skolem0002,skolem0003),skolem0002),inference(resolution,[status(thm)],[c224, c18])).
% 54.68/54.85 cnf(c52,plain,~member(X264,X263)|apply(X262,skolem0006(X262,X263,X264),X264)|min(X264,X262,X263),inference(split_conjunct,[status(thm)],[c48])).
% 54.68/54.85 cnf(c282,plain,apply(X336,skolem0006(X336,skolem0002,skolem0003),skolem0003)|min(skolem0003,X336,skolem0002),inference(resolution,[status(thm)],[c52, c188])).
% 54.68/54.85 cnf(c416,plain,apply(skolem0001,skolem0006(skolem0001,skolem0002,skolem0003),skolem0003),inference(resolution,[status(thm)],[c282, c18])).
% 54.68/54.85 cnf(c72,plain,~least(X161,X163,X164)|~member(X162,X164)|apply(X163,X161,X162),inference(split_conjunct,[status(thm)],[c70])).
% 54.68/54.85 cnf(c197,plain,~member(X165,skolem0002)|apply(skolem0001,skolem0003,X165),inference(resolution,[status(thm)],[c72, c17])).
% 54.68/54.85 cnf(c333,plain,apply(skolem0001,skolem0003,skolem0006(skolem0001,skolem0002,skolem0003)),inference(resolution,[status(thm)],[c332, c197])).
% 54.68/54.85 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)).
% 54.68/54.85 fof(c115,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])).
% 54.68/54.85 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))))))))))&(![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)],[c115])).
% 54.68/54.85 fof(c117,plain,((![X81]:(![X82]:(~order(X81,X82)|(((![X83]:(~member(X83,X82)|apply(X81,X83,X83)))&(![X84]:(![X85]:((~member(X84,X82)|~member(X85,X82))|((~apply(X81,X84,X85)|~apply(X81,X85,X84))|X84=X85)))))&(![X86]:(![X87]:(![X88]:(((~member(X86,X82)|~member(X87,X82))|~member(X88,X82))|((~apply(X81,X86,X87)|~apply(X81,X87,X88))|apply(X81,X86,X88))))))))))&(![X89]:(![X90]:((((?[X91]:(member(X91,X90)&~apply(X89,X91,X91)))|(?[X92]:(?[X93]:((member(X92,X90)&member(X93,X90))&((apply(X89,X92,X93)&apply(X89,X93,X92))&X92!=X93)))))|(?[X94]:(?[X95]:(?[X96]:(((member(X94,X90)&member(X95,X90))&member(X96,X90))&((apply(X89,X94,X95)&apply(X89,X95,X96))&~apply(X89,X94,X96)))))))|order(X89,X90))))),inference(variable_rename,[status(thm)],[c116])).
% 54.68/54.85 fof(c119,plain,(![X81]:(![X82]:(![X83]:(![X84]:(![X85]:(![X86]:(![X87]:(![X88]:(![X89]:(![X90]:((~order(X81,X82)|(((~member(X83,X82)|apply(X81,X83,X83))&((~member(X84,X82)|~member(X85,X82))|((~apply(X81,X84,X85)|~apply(X81,X85,X84))|X84=X85)))&(((~member(X86,X82)|~member(X87,X82))|~member(X88,X82))|((~apply(X81,X86,X87)|~apply(X81,X87,X88))|apply(X81,X86,X88)))))&((((member(skolem0014(X89,X90),X90)&~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90)))|((member(skolem0015(X89,X90),X90)&member(skolem0016(X89,X90),X90))&((apply(X89,skolem0015(X89,X90),skolem0016(X89,X90))&apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))&skolem0015(X89,X90)!=skolem0016(X89,X90))))|(((member(skolem0017(X89,X90),X90)&member(skolem0018(X89,X90),X90))&member(skolem0019(X89,X90),X90))&((apply(X89,skolem0017(X89,X90),skolem0018(X89,X90))&apply(X89,skolem0018(X89,X90),skolem0019(X89,X90)))&~apply(X89,skolem0017(X89,X90),skolem0019(X89,X90)))))|order(X89,X90))))))))))))),inference(shift_quantors,[status(thm)],[fof(c118,plain,((![X81]:(![X82]:(~order(X81,X82)|(((![X83]:(~member(X83,X82)|apply(X81,X83,X83)))&(![X84]:(![X85]:((~member(X84,X82)|~member(X85,X82))|((~apply(X81,X84,X85)|~apply(X81,X85,X84))|X84=X85)))))&(![X86]:(![X87]:(![X88]:(((~member(X86,X82)|~member(X87,X82))|~member(X88,X82))|((~apply(X81,X86,X87)|~apply(X81,X87,X88))|apply(X81,X86,X88))))))))))&(![X89]:(![X90]:((((member(skolem0014(X89,X90),X90)&~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90)))|((member(skolem0015(X89,X90),X90)&member(skolem0016(X89,X90),X90))&((apply(X89,skolem0015(X89,X90),skolem0016(X89,X90))&apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))&skolem0015(X89,X90)!=skolem0016(X89,X90))))|(((member(skolem0017(X89,X90),X90)&member(skolem0018(X89,X90),X90))&member(skolem0019(X89,X90),X90))&((apply(X89,skolem0017(X89,X90),skolem0018(X89,X90))&apply(X89,skolem0018(X89,X90),skolem0019(X89,X90)))&~apply(X89,skolem0017(X89,X90),skolem0019(X89,X90)))))|order(X89,X90))))),inference(skolemize,[status(esa)],[c117])).])).
% 54.68/54.85 fof(c120,plain,(![X81]:(![X82]:(![X83]:(![X84]:(![X85]:(![X86]:(![X87]:(![X88]:(![X89]:(![X90]:((((~order(X81,X82)|(~member(X83,X82)|apply(X81,X83,X83)))&(~order(X81,X82)|((~member(X84,X82)|~member(X85,X82))|((~apply(X81,X84,X85)|~apply(X81,X85,X84))|X84=X85))))&(~order(X81,X82)|(((~member(X86,X82)|~member(X87,X82))|~member(X88,X82))|((~apply(X81,X86,X87)|~apply(X81,X87,X88))|apply(X81,X86,X88)))))&(((((((((member(skolem0014(X89,X90),X90)|member(skolem0015(X89,X90),X90))|member(skolem0017(X89,X90),X90))|order(X89,X90))&(((member(skolem0014(X89,X90),X90)|member(skolem0015(X89,X90),X90))|member(skolem0018(X89,X90),X90))|order(X89,X90)))&(((member(skolem0014(X89,X90),X90)|member(skolem0015(X89,X90),X90))|member(skolem0019(X89,X90),X90))|order(X89,X90)))&(((((member(skolem0014(X89,X90),X90)|member(skolem0015(X89,X90),X90))|apply(X89,skolem0017(X89,X90),skolem0018(X89,X90)))|order(X89,X90))&(((member(skolem0014(X89,X90),X90)|member(skolem0015(X89,X90),X90))|apply(X89,skolem0018(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))&(((member(skolem0014(X89,X90),X90)|member(skolem0015(X89,X90),X90))|~apply(X89,skolem0017(X89,X90),skolem0019(X89,X90)))|order(X89,X90))))&((((((member(skolem0014(X89,X90),X90)|member(skolem0016(X89,X90),X90))|member(skolem0017(X89,X90),X90))|order(X89,X90))&(((member(skolem0014(X89,X90),X90)|member(skolem0016(X89,X90),X90))|member(skolem0018(X89,X90),X90))|order(X89,X90)))&(((member(skolem0014(X89,X90),X90)|member(skolem0016(X89,X90),X90))|member(skolem0019(X89,X90),X90))|order(X89,X90)))&(((((member(skolem0014(X89,X90),X90)|member(skolem0016(X89,X90),X90))|apply(X89,skolem0017(X89,X90),skolem0018(X89,X90)))|order(X89,X90))&(((member(skolem0014(X89,X90),X90)|member(skolem0016(X89,X90),X90))|apply(X89,skolem0018(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))&(((member(skolem0014(X89,X90),X90)|member(skolem0016(X89,X90),X90))|~apply(X89,skolem0017(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))))&((((((((member(skolem0014(X89,X90),X90)|apply(X89,skolem0015(X89,X90),skolem0016(X89,X90)))|member(skolem0017(X89,X90),X90))|order(X89,X90))&(((member(skolem0014(X89,X90),X90)|apply(X89,skolem0015(X89,X90),skolem0016(X89,X90)))|member(skolem0018(X89,X90),X90))|order(X89,X90)))&(((member(skolem0014(X89,X90),X90)|apply(X89,skolem0015(X89,X90),skolem0016(X89,X90)))|member(skolem0019(X89,X90),X90))|order(X89,X90)))&(((((member(skolem0014(X89,X90),X90)|apply(X89,skolem0015(X89,X90),skolem0016(X89,X90)))|apply(X89,skolem0017(X89,X90),skolem0018(X89,X90)))|order(X89,X90))&(((member(skolem0014(X89,X90),X90)|apply(X89,skolem0015(X89,X90),skolem0016(X89,X90)))|apply(X89,skolem0018(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))&(((member(skolem0014(X89,X90),X90)|apply(X89,skolem0015(X89,X90),skolem0016(X89,X90)))|~apply(X89,skolem0017(X89,X90),skolem0019(X89,X90)))|order(X89,X90))))&((((((member(skolem0014(X89,X90),X90)|apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))|member(skolem0017(X89,X90),X90))|order(X89,X90))&(((member(skolem0014(X89,X90),X90)|apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))|member(skolem0018(X89,X90),X90))|order(X89,X90)))&(((member(skolem0014(X89,X90),X90)|apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))|member(skolem0019(X89,X90),X90))|order(X89,X90)))&(((((member(skolem0014(X89,X90),X90)|apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))|apply(X89,skolem0017(X89,X90),skolem0018(X89,X90)))|order(X89,X90))&(((member(skolem0014(X89,X90),X90)|apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))|apply(X89,skolem0018(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))&(((member(skolem0014(X89,X90),X90)|apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))|~apply(X89,skolem0017(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))))&((((((member(skolem0014(X89,X90),X90)|skolem0015(X89,X90)!=skolem0016(X89,X90))|member(skolem0017(X89,X90),X90))|order(X89,X90))&(((member(skolem0014(X89,X90),X90)|skolem0015(X89,X90)!=skolem0016(X89,X90))|member(skolem0018(X89,X90),X90))|order(X89,X90)))&(((member(skolem0014(X89,X90),X90)|skolem0015(X89,X90)!=skolem0016(X89,X90))|member(skolem0019(X89,X90),X90))|order(X89,X90)))&(((((member(skolem0014(X89,X90),X90)|skolem0015(X89,X90)!=skolem0016(X89,X90))|apply(X89,skolem0017(X89,X90),skolem0018(X89,X90)))|order(X89,X90))&(((member(skolem0014(X89,X90),X90)|skolem0015(X89,X90)!=skolem0016(X89,X90))|apply(X89,skolem0018(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))&(((member(skolem0014(X89,X90),X90)|skolem0015(X89,X90)!=skolem0016(X89,X90))|~apply(X89,skolem0017(X89,X90),skolem0019(X89,X90)))|order(X89,X90))))))&((((((((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|member(skolem0015(X89,X90),X90))|member(skolem0017(X89,X90),X90))|order(X89,X90))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|member(skolem0015(X89,X90),X90))|member(skolem0018(X89,X90),X90))|order(X89,X90)))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|member(skolem0015(X89,X90),X90))|member(skolem0019(X89,X90),X90))|order(X89,X90)))&(((((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|member(skolem0015(X89,X90),X90))|apply(X89,skolem0017(X89,X90),skolem0018(X89,X90)))|order(X89,X90))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|member(skolem0015(X89,X90),X90))|apply(X89,skolem0018(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|member(skolem0015(X89,X90),X90))|~apply(X89,skolem0017(X89,X90),skolem0019(X89,X90)))|order(X89,X90))))&((((((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|member(skolem0016(X89,X90),X90))|member(skolem0017(X89,X90),X90))|order(X89,X90))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|member(skolem0016(X89,X90),X90))|member(skolem0018(X89,X90),X90))|order(X89,X90)))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|member(skolem0016(X89,X90),X90))|member(skolem0019(X89,X90),X90))|order(X89,X90)))&(((((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|member(skolem0016(X89,X90),X90))|apply(X89,skolem0017(X89,X90),skolem0018(X89,X90)))|order(X89,X90))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|member(skolem0016(X89,X90),X90))|apply(X89,skolem0018(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|member(skolem0016(X89,X90),X90))|~apply(X89,skolem0017(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))))&((((((((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|apply(X89,skolem0015(X89,X90),skolem0016(X89,X90)))|member(skolem0017(X89,X90),X90))|order(X89,X90))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|apply(X89,skolem0015(X89,X90),skolem0016(X89,X90)))|member(skolem0018(X89,X90),X90))|order(X89,X90)))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|apply(X89,skolem0015(X89,X90),skolem0016(X89,X90)))|member(skolem0019(X89,X90),X90))|order(X89,X90)))&(((((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|apply(X89,skolem0015(X89,X90),skolem0016(X89,X90)))|apply(X89,skolem0017(X89,X90),skolem0018(X89,X90)))|order(X89,X90))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|apply(X89,skolem0015(X89,X90),skolem0016(X89,X90)))|apply(X89,skolem0018(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|apply(X89,skolem0015(X89,X90),skolem0016(X89,X90)))|~apply(X89,skolem0017(X89,X90),skolem0019(X89,X90)))|order(X89,X90))))&((((((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))|member(skolem0017(X89,X90),X90))|order(X89,X90))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))|member(skolem0018(X89,X90),X90))|order(X89,X90)))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))|member(skolem0019(X89,X90),X90))|order(X89,X90)))&(((((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))|apply(X89,skolem0017(X89,X90),skolem0018(X89,X90)))|order(X89,X90))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))|apply(X89,skolem0018(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|apply(X89,skolem0016(X89,X90),skolem0015(X89,X90)))|~apply(X89,skolem0017(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))))&((((((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|skolem0015(X89,X90)!=skolem0016(X89,X90))|member(skolem0017(X89,X90),X90))|order(X89,X90))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|skolem0015(X89,X90)!=skolem0016(X89,X90))|member(skolem0018(X89,X90),X90))|order(X89,X90)))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|skolem0015(X89,X90)!=skolem0016(X89,X90))|member(skolem0019(X89,X90),X90))|order(X89,X90)))&(((((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|skolem0015(X89,X90)!=skolem0016(X89,X90))|apply(X89,skolem0017(X89,X90),skolem0018(X89,X90)))|order(X89,X90))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|skolem0015(X89,X90)!=skolem0016(X89,X90))|apply(X89,skolem0018(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))&(((~apply(X89,skolem0014(X89,X90),skolem0014(X89,X90))|skolem0015(X89,X90)!=skolem0016(X89,X90))|~apply(X89,skolem0017(X89,X90),skolem0019(X89,X90)))|order(X89,X90)))))))))))))))))),inference(distribute,[status(thm)],[c119])).
% 54.68/54.85 cnf(c122,plain,~order(X391,X392)|~member(X393,X392)|~member(X394,X392)|~apply(X391,X393,X394)|~apply(X391,X394,X393)|X393=X394,inference(split_conjunct,[status(thm)],[c120])).
% 54.68/54.85 cnf(c481,plain,~order(skolem0001,X2512)|~member(skolem0006(skolem0001,skolem0002,skolem0003),X2512)|~member(skolem0003,X2512)|~apply(skolem0001,skolem0006(skolem0001,skolem0002,skolem0003),skolem0003)|skolem0006(skolem0001,skolem0002,skolem0003)=skolem0003,inference(resolution,[status(thm)],[c122, c333])).
% 54.68/54.85 cnf(c16658,plain,~order(skolem0001,X5771)|~member(skolem0006(skolem0001,skolem0002,skolem0003),X5771)|~member(skolem0003,X5771)|skolem0006(skolem0001,skolem0002,skolem0003)=skolem0003,inference(resolution,[status(thm)],[c481, c416])).
% 54.68/54.85 cnf(c93841,plain,~order(skolem0001,skolem0002)|~member(skolem0003,skolem0002)|skolem0006(skolem0001,skolem0002,skolem0003)=skolem0003,inference(resolution,[status(thm)],[c16658, c332])).
% 54.68/54.85 cnf(c94071,plain,~order(skolem0001,skolem0002)|skolem0006(skolem0001,skolem0002,skolem0003)=skolem0003,inference(resolution,[status(thm)],[c93841, c188])).
% 54.68/54.85 cnf(c94138,plain,skolem0006(skolem0001,skolem0002,skolem0003)=skolem0003,inference(resolution,[status(thm)],[c94071, c16])).
% 54.68/54.85 cnf(c94284,plain,skolem0003=skolem0006(skolem0001,skolem0002,skolem0003),inference(resolution,[status(thm)],[c94138, symmetry])).
% 54.68/54.85 cnf(c94705,plain,~member(skolem0003,skolem0002)|min(skolem0003,skolem0001,skolem0002),inference(resolution,[status(thm)],[c94284, c53])).
% 54.68/54.85 cnf(c94941,plain,min(skolem0003,skolem0001,skolem0002),inference(resolution,[status(thm)],[c94705, c188])).
% 54.68/54.85 cnf(c95027,plain,$false,inference(resolution,[status(thm)],[c94941, c18])).
% 54.68/54.85 % SZS output end CNFRefutation
% 54.68/54.85
% 54.68/54.85 % Initial clauses : 123
% 54.68/54.85 % Processed clauses : 1569
% 54.68/54.85 % Factors computed : 150
% 54.68/54.85 % Resolvents computed: 94702
% 54.68/54.85 % Tautologies deleted: 11
% 54.68/54.85 % Forward subsumed : 1061
% 54.68/54.85 % Backward subsumed : 60
% 54.68/54.85 % -------- CPU Time ---------
% 54.68/54.85 % User time : 54.174 s
% 54.68/54.85 % System time : 0.322 s
% 54.68/54.85 % Total time : 54.496 s
%------------------------------------------------------------------------------