TSTP Solution File: SET791+4 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET791+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n023.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 : Tue Jul 19 04:40:13 EDT 2022
% Result : Theorem 43.73s 43.96s
% Output : Refutation 43.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET791+4 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 12:16:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 43.73/43.96 # Version: 1.3
% 43.73/43.96 # SZS status Theorem
% 43.73/43.96 # SZS output start CNFRefutation
% 43.73/43.96 fof(thIV3,conjecture,(![R]:(![E]:(![M]:((order(R,E)&greatest(M,R,E))=>max(M,R,E))))),input).
% 43.73/43.96 fof(c12,negated_conjecture,(~(![R]:(![E]:(![M]:((order(R,E)&greatest(M,R,E))=>max(M,R,E)))))),inference(assume_negation,status(cth),[thIV3])).
% 43.73/43.96 fof(c13,negated_conjecture,(?[R]:(?[E]:(?[M]:((order(R,E)&greatest(M,R,E))&~max(M,R,E))))),inference(fof_nnf,status(thm),[c12])).
% 43.73/43.96 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((order(X2,X3)&greatest(X4,X2,X3))&~max(X4,X2,X3))))),inference(variable_rename,status(thm),[c13])).
% 43.73/43.96 fof(c15,negated_conjecture,((order(skolem0001,skolem0002)&greatest(skolem0003,skolem0001,skolem0002))&~max(skolem0003,skolem0001,skolem0002)),inference(skolemize,status(esa),[c14])).
% 43.73/43.96 cnf(c18,negated_conjecture,~max(skolem0003,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 43.73/43.96 cnf(c17,negated_conjecture,greatest(skolem0003,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 43.73/43.96 fof(greatest,axiom,(![R]:(![E]:(![M]:(greatest(M,R,E)<=>(member(M,E)&(![X]:(member(X,E)=>apply(R,X,M)))))))),input).
% 43.73/43.96 fof(c75,axiom,(![R]:(![E]:(![M]:((~greatest(M,R,E)|(member(M,E)&(![X]:(~member(X,E)|apply(R,X,M)))))&((~member(M,E)|(?[X]:(member(X,E)&~apply(R,X,M))))|greatest(M,R,E)))))),inference(fof_nnf,status(thm),[greatest])).
% 43.73/43.96 fof(c76,axiom,((![R]:(![E]:(![M]:(~greatest(M,R,E)|(member(M,E)&(![X]:(~member(X,E)|apply(R,X,M))))))))&(![R]:(![E]:(![M]:((~member(M,E)|(?[X]:(member(X,E)&~apply(R,X,M))))|greatest(M,R,E)))))),inference(shift_quantors,status(thm),[c75])).
% 43.73/43.96 fof(c77,axiom,((![X49]:(![X50]:(![X51]:(~greatest(X51,X49,X50)|(member(X51,X50)&(![X52]:(~member(X52,X50)|apply(X49,X52,X51))))))))&(![X53]:(![X54]:(![X55]:((~member(X55,X54)|(?[X56]:(member(X56,X54)&~apply(X53,X56,X55))))|greatest(X55,X53,X54)))))),inference(variable_rename,status(thm),[c76])).
% 43.73/43.96 fof(c79,axiom,(![X49]:(![X50]:(![X51]:(![X52]:(![X53]:(![X54]:(![X55]:((~greatest(X51,X49,X50)|(member(X51,X50)&(~member(X52,X50)|apply(X49,X52,X51))))&((~member(X55,X54)|(member(skolem0009(X53,X54,X55),X54)&~apply(X53,skolem0009(X53,X54,X55),X55)))|greatest(X55,X53,X54)))))))))),inference(shift_quantors,status(thm),[fof(c78,axiom,((![X49]:(![X50]:(![X51]:(~greatest(X51,X49,X50)|(member(X51,X50)&(![X52]:(~member(X52,X50)|apply(X49,X52,X51))))))))&(![X53]:(![X54]:(![X55]:((~member(X55,X54)|(member(skolem0009(X53,X54,X55),X54)&~apply(X53,skolem0009(X53,X54,X55),X55)))|greatest(X55,X53,X54)))))),inference(skolemize,status(esa),[c77])).])).
% 43.73/43.96 fof(c80,axiom,(![X49]:(![X50]:(![X51]:(![X52]:(![X53]:(![X54]:(![X55]:(((~greatest(X51,X49,X50)|member(X51,X50))&(~greatest(X51,X49,X50)|(~member(X52,X50)|apply(X49,X52,X51))))&(((~member(X55,X54)|member(skolem0009(X53,X54,X55),X54))|greatest(X55,X53,X54))&((~member(X55,X54)|~apply(X53,skolem0009(X53,X54,X55),X55))|greatest(X55,X53,X54))))))))))),inference(distribute,status(thm),[c79])).
% 43.73/43.96 cnf(c81,axiom,~greatest(X123,X121,X122)|member(X123,X122),inference(split_conjunct,status(thm),[c80])).
% 43.73/43.96 cnf(c187,plain,member(skolem0003,skolem0002),inference(resolution,status(thm),[c81, c17])).
% 43.73/43.96 fof(max,axiom,(![R]:(![E]:(![M]:(max(M,R,E)<=>(member(M,E)&(![X]:((member(X,E)&apply(R,M,X))=>M=X))))))),input).
% 43.73/43.96 fof(c54,axiom,(![R]:(![E]:(![M]:((~max(M,R,E)|(member(M,E)&(![X]:((~member(X,E)|~apply(R,M,X))|M=X))))&((~member(M,E)|(?[X]:((member(X,E)&apply(R,M,X))&M!=X)))|max(M,R,E)))))),inference(fof_nnf,status(thm),[max])).
% 43.73/43.96 fof(c55,axiom,((![R]:(![E]:(![M]:(~max(M,R,E)|(member(M,E)&(![X]:((~member(X,E)|~apply(R,M,X))|M=X)))))))&(![R]:(![E]:(![M]:((~member(M,E)|(?[X]:((member(X,E)&apply(R,M,X))&M!=X)))|max(M,R,E)))))),inference(shift_quantors,status(thm),[c54])).
% 43.73/43.96 fof(c56,axiom,((![X33]:(![X34]:(![X35]:(~max(X35,X33,X34)|(member(X35,X34)&(![X36]:((~member(X36,X34)|~apply(X33,X35,X36))|X35=X36)))))))&(![X37]:(![X38]:(![X39]:((~member(X39,X38)|(?[X40]:((member(X40,X38)&apply(X37,X39,X40))&X39!=X40)))|max(X39,X37,X38)))))),inference(variable_rename,status(thm),[c55])).
% 43.73/43.96 fof(c58,axiom,(![X33]:(![X34]:(![X35]:(![X36]:(![X37]:(![X38]:(![X39]:((~max(X35,X33,X34)|(member(X35,X34)&((~member(X36,X34)|~apply(X33,X35,X36))|X35=X36)))&((~member(X39,X38)|((member(skolem0007(X37,X38,X39),X38)&apply(X37,X39,skolem0007(X37,X38,X39)))&X39!=skolem0007(X37,X38,X39)))|max(X39,X37,X38)))))))))),inference(shift_quantors,status(thm),[fof(c57,axiom,((![X33]:(![X34]:(![X35]:(~max(X35,X33,X34)|(member(X35,X34)&(![X36]:((~member(X36,X34)|~apply(X33,X35,X36))|X35=X36)))))))&(![X37]:(![X38]:(![X39]:((~member(X39,X38)|((member(skolem0007(X37,X38,X39),X38)&apply(X37,X39,skolem0007(X37,X38,X39)))&X39!=skolem0007(X37,X38,X39)))|max(X39,X37,X38)))))),inference(skolemize,status(esa),[c56])).])).
% 43.73/43.96 fof(c59,axiom,(![X33]:(![X34]:(![X35]:(![X36]:(![X37]:(![X38]:(![X39]:(((~max(X35,X33,X34)|member(X35,X34))&(~max(X35,X33,X34)|((~member(X36,X34)|~apply(X33,X35,X36))|X35=X36)))&((((~member(X39,X38)|member(skolem0007(X37,X38,X39),X38))|max(X39,X37,X38))&((~member(X39,X38)|apply(X37,X39,skolem0007(X37,X38,X39)))|max(X39,X37,X38)))&((~member(X39,X38)|X39!=skolem0007(X37,X38,X39))|max(X39,X37,X38))))))))))),inference(distribute,status(thm),[c58])).
% 43.73/43.96 cnf(c64,axiom,~member(X232,X231)|X232!=skolem0007(X230,X231,X232)|max(X232,X230,X231),inference(split_conjunct,status(thm),[c59])).
% 43.73/43.96 cnf(c16,negated_conjecture,order(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 43.73/43.96 cnf(c62,axiom,~member(X223,X222)|member(skolem0007(X221,X222,X223),X222)|max(X223,X221,X222),inference(split_conjunct,status(thm),[c59])).
% 43.73/43.96 cnf(c226,plain,member(skolem0007(X306,skolem0002,skolem0003),skolem0002)|max(skolem0003,X306,skolem0002),inference(resolution,status(thm),[c62, c187])).
% 43.73/43.96 cnf(c343,plain,member(skolem0007(skolem0001,skolem0002,skolem0003),skolem0002),inference(resolution,status(thm),[c226, c18])).
% 43.73/43.96 cnf(c63,axiom,~member(X276,X275)|apply(X274,X276,skolem0007(X274,X275,X276))|max(X276,X274,X275),inference(split_conjunct,status(thm),[c59])).
% 43.73/43.96 cnf(c287,plain,apply(X341,skolem0003,skolem0007(X341,skolem0002,skolem0003))|max(skolem0003,X341,skolem0002),inference(resolution,status(thm),[c63, c187])).
% 43.73/43.96 cnf(c419,plain,apply(skolem0001,skolem0003,skolem0007(skolem0001,skolem0002,skolem0003)),inference(resolution,status(thm),[c287, c18])).
% 43.73/43.96 cnf(c82,axiom,~greatest(X167,X164,X165)|~member(X166,X165)|apply(X164,X166,X167),inference(split_conjunct,status(thm),[c80])).
% 43.73/43.96 cnf(c196,plain,~member(X168,skolem0002)|apply(skolem0001,X168,skolem0003),inference(resolution,status(thm),[c82, c17])).
% 43.73/43.96 cnf(c347,plain,apply(skolem0001,skolem0007(skolem0001,skolem0002,skolem0003),skolem0003),inference(resolution,status(thm),[c343, c196])).
% 43.73/43.96 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)))))))))),input).
% 43.73/43.96 fof(c115,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))))))))&((((?[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])).
% 43.73/43.96 fof(c116,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))))))))))&(![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])).
% 43.73/43.96 fof(c117,axiom,((![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])).
% 43.73/43.96 fof(c119,axiom,(![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,axiom,((![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])).])).
% 43.73/43.96 fof(c120,axiom,(![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])).
% 43.73/43.96 cnf(c122,axiom,~order(X390,X392)|~member(X391,X392)|~member(X393,X392)|~apply(X390,X391,X393)|~apply(X390,X393,X391)|X391=X393,inference(split_conjunct,status(thm),[c120])).
% 43.73/43.96 cnf(c478,plain,~order(skolem0001,X2594)|~member(skolem0003,X2594)|~member(skolem0007(skolem0001,skolem0002,skolem0003),X2594)|~apply(skolem0001,skolem0003,skolem0007(skolem0001,skolem0002,skolem0003))|skolem0003=skolem0007(skolem0001,skolem0002,skolem0003),inference(resolution,status(thm),[c122, c347])).
% 43.73/43.96 cnf(c19869,plain,~order(skolem0001,X5574)|~member(skolem0003,X5574)|~member(skolem0007(skolem0001,skolem0002,skolem0003),X5574)|skolem0003=skolem0007(skolem0001,skolem0002,skolem0003),inference(resolution,status(thm),[c478, c419])).
% 43.73/43.96 cnf(c80772,plain,~order(skolem0001,skolem0002)|~member(skolem0003,skolem0002)|skolem0003=skolem0007(skolem0001,skolem0002,skolem0003),inference(resolution,status(thm),[c19869, c343])).
% 43.73/43.96 cnf(c80774,plain,~order(skolem0001,skolem0002)|skolem0003=skolem0007(skolem0001,skolem0002,skolem0003),inference(resolution,status(thm),[c80772, c187])).
% 43.73/43.96 cnf(c80888,plain,skolem0003=skolem0007(skolem0001,skolem0002,skolem0003),inference(resolution,status(thm),[c80774, c16])).
% 43.73/43.96 cnf(c81040,plain,~member(skolem0003,skolem0002)|max(skolem0003,skolem0001,skolem0002),inference(resolution,status(thm),[c80888, c64])).
% 43.73/43.96 cnf(c81184,plain,max(skolem0003,skolem0001,skolem0002),inference(resolution,status(thm),[c81040, c187])).
% 43.73/43.96 cnf(c81186,plain,$false,inference(resolution,status(thm),[c81184, c18])).
% 43.73/43.96 # SZS output end CNFRefutation
% 43.73/43.96
% 43.73/43.96 # Initial clauses : 123
% 43.73/43.96 # Processed clauses : 1402
% 43.73/43.96 # Factors computed : 15
% 43.73/43.96 # Resolvents computed: 80997
% 43.73/43.96 # Tautologies deleted: 9
% 43.73/43.96 # Forward subsumed : 943
% 43.73/43.96 # Backward subsumed : 48
% 43.73/43.96 # -------- CPU Time ---------
% 43.73/43.96 # User time : 43.344 s
% 43.73/43.96 # System time : 0.254 s
% 43.73/43.96 # Total time : 43.598 s
%------------------------------------------------------------------------------