TSTP Solution File: SET793+4 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 4.50s 4.67s
% Output : Refutation 4.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET793+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n009.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 : 600
% 0.14/0.35 % DateTime : Sun Jul 10 02:06:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 4.50/4.67 # Version: 1.3
% 4.50/4.67 # SZS status Theorem
% 4.50/4.67 # SZS output start CNFRefutation
% 4.50/4.67 fof(thIV5,conjecture,(![R]:(![E]:(![M]:((total_order(R,E)&max(M,R,E))=>greatest(M,R,E))))),input).
% 4.50/4.67 fof(c12,negated_conjecture,(~(![R]:(![E]:(![M]:((total_order(R,E)&max(M,R,E))=>greatest(M,R,E)))))),inference(assume_negation,status(cth),[thIV5])).
% 4.50/4.67 fof(c13,negated_conjecture,(?[R]:(?[E]:(?[M]:((total_order(R,E)&max(M,R,E))&~greatest(M,R,E))))),inference(fof_nnf,status(thm),[c12])).
% 4.50/4.67 fof(c14,negated_conjecture,(?[X2]:(?[X3]:(?[X4]:((total_order(X2,X3)&max(X4,X2,X3))&~greatest(X4,X2,X3))))),inference(variable_rename,status(thm),[c13])).
% 4.50/4.67 fof(c15,negated_conjecture,((total_order(skolem0001,skolem0002)&max(skolem0003,skolem0001,skolem0002))&~greatest(skolem0003,skolem0001,skolem0002)),inference(skolemize,status(esa),[c14])).
% 4.50/4.67 cnf(c18,negated_conjecture,~greatest(skolem0003,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 4.50/4.67 cnf(c17,negated_conjecture,max(skolem0003,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 4.50/4.67 fof(max,axiom,(![R]:(![E]:(![M]:(max(M,R,E)<=>(member(M,E)&(![X]:((member(X,E)&apply(R,M,X))=>M=X))))))),input).
% 4.50/4.67 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])).
% 4.50/4.67 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])).
% 4.50/4.67 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])).
% 4.50/4.67 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])).])).
% 4.50/4.67 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])).
% 4.50/4.67 cnf(c60,axiom,~max(X115,X116,X117)|member(X115,X117),inference(split_conjunct,status(thm),[c59])).
% 4.50/4.67 cnf(c188,plain,member(skolem0003,skolem0002),inference(resolution,status(thm),[c60, c17])).
% 4.50/4.67 fof(greatest,axiom,(![R]:(![E]:(![M]:(greatest(M,R,E)<=>(member(M,E)&(![X]:(member(X,E)=>apply(R,X,M)))))))),input).
% 4.50/4.67 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])).
% 4.50/4.67 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])).
% 4.50/4.67 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])).
% 4.50/4.67 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])).])).
% 4.50/4.67 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])).
% 4.50/4.67 cnf(c84,axiom,~member(X283,X284)|~apply(X282,skolem0009(X282,X284,X283),X283)|greatest(X283,X282,X284),inference(split_conjunct,status(thm),[c80])).
% 4.50/4.67 cnf(reflexivity,axiom,X97=X97,eq_axiom).
% 4.50/4.67 cnf(c2,plain,X155!=X150|X151!=X152|X154!=X153|~apply(X155,X151,X154)|apply(X150,X152,X153),eq_axiom).
% 4.50/4.67 cnf(c16,negated_conjecture,total_order(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c15])).
% 4.50/4.67 fof(total_order,axiom,(![R]:(![E]:(total_order(R,E)<=>(order(R,E)&(![X]:(![Y]:((member(X,E)&member(Y,E))=>(apply(R,X,Y)|apply(R,Y,X))))))))),input).
% 4.50/4.67 fof(c103,axiom,(![R]:(![E]:((~total_order(R,E)|(order(R,E)&(![X]:(![Y]:((~member(X,E)|~member(Y,E))|(apply(R,X,Y)|apply(R,Y,X)))))))&((~order(R,E)|(?[X]:(?[Y]:((member(X,E)&member(Y,E))&(~apply(R,X,Y)&~apply(R,Y,X))))))|total_order(R,E))))),inference(fof_nnf,status(thm),[total_order])).
% 4.50/4.67 fof(c104,axiom,((![R]:(![E]:(~total_order(R,E)|(order(R,E)&(![X]:(![Y]:((~member(X,E)|~member(Y,E))|(apply(R,X,Y)|apply(R,Y,X)))))))))&(![R]:(![E]:((~order(R,E)|(?[X]:(?[Y]:((member(X,E)&member(Y,E))&(~apply(R,X,Y)&~apply(R,Y,X))))))|total_order(R,E))))),inference(shift_quantors,status(thm),[c103])).
% 4.50/4.67 fof(c105,axiom,((![X73]:(![X74]:(~total_order(X73,X74)|(order(X73,X74)&(![X75]:(![X76]:((~member(X75,X74)|~member(X76,X74))|(apply(X73,X75,X76)|apply(X73,X76,X75)))))))))&(![X77]:(![X78]:((~order(X77,X78)|(?[X79]:(?[X80]:((member(X79,X78)&member(X80,X78))&(~apply(X77,X79,X80)&~apply(X77,X80,X79))))))|total_order(X77,X78))))),inference(variable_rename,status(thm),[c104])).
% 4.50/4.67 fof(c107,axiom,(![X73]:(![X74]:(![X75]:(![X76]:(![X77]:(![X78]:((~total_order(X73,X74)|(order(X73,X74)&((~member(X75,X74)|~member(X76,X74))|(apply(X73,X75,X76)|apply(X73,X76,X75)))))&((~order(X77,X78)|((member(skolem0012(X77,X78),X78)&member(skolem0013(X77,X78),X78))&(~apply(X77,skolem0012(X77,X78),skolem0013(X77,X78))&~apply(X77,skolem0013(X77,X78),skolem0012(X77,X78)))))|total_order(X77,X78))))))))),inference(shift_quantors,status(thm),[fof(c106,axiom,((![X73]:(![X74]:(~total_order(X73,X74)|(order(X73,X74)&(![X75]:(![X76]:((~member(X75,X74)|~member(X76,X74))|(apply(X73,X75,X76)|apply(X73,X76,X75)))))))))&(![X77]:(![X78]:((~order(X77,X78)|((member(skolem0012(X77,X78),X78)&member(skolem0013(X77,X78),X78))&(~apply(X77,skolem0012(X77,X78),skolem0013(X77,X78))&~apply(X77,skolem0013(X77,X78),skolem0012(X77,X78)))))|total_order(X77,X78))))),inference(skolemize,status(esa),[c105])).])).
% 4.50/4.67 fof(c108,axiom,(![X73]:(![X74]:(![X75]:(![X76]:(![X77]:(![X78]:(((~total_order(X73,X74)|order(X73,X74))&(~total_order(X73,X74)|((~member(X75,X74)|~member(X76,X74))|(apply(X73,X75,X76)|apply(X73,X76,X75)))))&((((~order(X77,X78)|member(skolem0012(X77,X78),X78))|total_order(X77,X78))&((~order(X77,X78)|member(skolem0013(X77,X78),X78))|total_order(X77,X78)))&(((~order(X77,X78)|~apply(X77,skolem0012(X77,X78),skolem0013(X77,X78)))|total_order(X77,X78))&((~order(X77,X78)|~apply(X77,skolem0013(X77,X78),skolem0012(X77,X78)))|total_order(X77,X78))))))))))),inference(distribute,status(thm),[c107])).
% 4.50/4.67 cnf(c109,axiom,~total_order(X105,X104)|order(X105,X104),inference(split_conjunct,status(thm),[c108])).
% 4.50/4.68 cnf(c186,plain,order(skolem0001,skolem0002),inference(resolution,status(thm),[c109, c16])).
% 4.50/4.68 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).
% 4.50/4.68 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])).
% 4.50/4.68 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])).
% 4.50/4.68 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])).
% 4.50/4.68 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])).])).
% 4.50/4.68 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])).
% 4.50/4.68 cnf(c121,axiom,~order(X156,X157)|~member(X158,X157)|apply(X156,X158,X158),inference(split_conjunct,status(thm),[c120])).
% 4.50/4.68 cnf(c193,plain,~order(X159,skolem0002)|apply(X159,skolem0003,skolem0003),inference(resolution,status(thm),[c121, c188])).
% 4.50/4.68 cnf(c195,plain,apply(skolem0001,skolem0003,skolem0003),inference(resolution,status(thm),[c193, c186])).
% 4.50/4.68 cnf(c196,plain,skolem0001!=X335|skolem0003!=X334|skolem0003!=X333|apply(X335,X334,X333),inference(resolution,status(thm),[c195, c2])).
% 4.50/4.68 cnf(c339,plain,skolem0001!=X337|skolem0003!=X336|apply(X337,X336,skolem0003),inference(resolution,status(thm),[c196, reflexivity])).
% 4.50/4.68 cnf(c83,axiom,~member(X239,X240)|member(skolem0009(X238,X240,X239),X240)|greatest(X239,X238,X240),inference(split_conjunct,status(thm),[c80])).
% 4.50/4.68 cnf(c220,plain,member(skolem0009(X299,skolem0002,skolem0003),skolem0002)|greatest(skolem0003,X299,skolem0002),inference(resolution,status(thm),[c83, c188])).
% 4.50/4.68 cnf(c314,plain,member(skolem0009(skolem0001,skolem0002,skolem0003),skolem0002),inference(resolution,status(thm),[c220, c18])).
% 4.50/4.68 cnf(c61,axiom,~max(X267,X268,X269)|~member(X266,X269)|~apply(X268,X267,X266)|X267=X266,inference(split_conjunct,status(thm),[c59])).
% 4.50/4.68 cnf(c110,axiom,~total_order(X395,X392)|~member(X394,X392)|~member(X393,X392)|apply(X395,X394,X393)|apply(X395,X393,X394),inference(split_conjunct,status(thm),[c108])).
% 4.50/4.68 cnf(c383,plain,~total_order(X453,skolem0002)|~member(X454,skolem0002)|apply(X453,X454,skolem0003)|apply(X453,skolem0003,X454),inference(resolution,status(thm),[c110, c188])).
% 4.50/4.68 cnf(c616,plain,~total_order(X1912,skolem0002)|apply(X1912,skolem0009(skolem0001,skolem0002,skolem0003),skolem0003)|apply(X1912,skolem0003,skolem0009(skolem0001,skolem0002,skolem0003)),inference(resolution,status(thm),[c383, c314])).
% 4.50/4.68 cnf(c12542,plain,apply(skolem0001,skolem0009(skolem0001,skolem0002,skolem0003),skolem0003)|apply(skolem0001,skolem0003,skolem0009(skolem0001,skolem0002,skolem0003)),inference(resolution,status(thm),[c616, c16])).
% 4.50/4.68 cnf(c12548,plain,apply(skolem0001,skolem0003,skolem0009(skolem0001,skolem0002,skolem0003))|~member(skolem0003,skolem0002)|greatest(skolem0003,skolem0001,skolem0002),inference(resolution,status(thm),[c12542, c84])).
% 4.50/4.68 cnf(c12554,plain,apply(skolem0001,skolem0003,skolem0009(skolem0001,skolem0002,skolem0003))|greatest(skolem0003,skolem0001,skolem0002),inference(resolution,status(thm),[c12548, c188])).
% 4.50/4.68 cnf(c12560,plain,apply(skolem0001,skolem0003,skolem0009(skolem0001,skolem0002,skolem0003)),inference(resolution,status(thm),[c12554, c18])).
% 4.50/4.68 cnf(c12575,plain,~max(skolem0003,skolem0001,X1924)|~member(skolem0009(skolem0001,skolem0002,skolem0003),X1924)|skolem0003=skolem0009(skolem0001,skolem0002,skolem0003),inference(resolution,status(thm),[c12560, c61])).
% 4.50/4.68 cnf(c12609,plain,~max(skolem0003,skolem0001,skolem0002)|skolem0003=skolem0009(skolem0001,skolem0002,skolem0003),inference(resolution,status(thm),[c12575, c314])).
% 4.50/4.68 cnf(c12622,plain,skolem0003=skolem0009(skolem0001,skolem0002,skolem0003),inference(resolution,status(thm),[c12609, c17])).
% 4.50/4.68 cnf(c12626,plain,skolem0001!=X1936|apply(X1936,skolem0009(skolem0001,skolem0002,skolem0003),skolem0003),inference(resolution,status(thm),[c12622, c339])).
% 4.50/4.68 cnf(c12729,plain,apply(skolem0001,skolem0009(skolem0001,skolem0002,skolem0003),skolem0003),inference(resolution,status(thm),[c12626, reflexivity])).
% 4.50/4.68 cnf(c12764,plain,~member(skolem0003,skolem0002)|greatest(skolem0003,skolem0001,skolem0002),inference(resolution,status(thm),[c12729, c84])).
% 4.50/4.68 cnf(c12765,plain,greatest(skolem0003,skolem0001,skolem0002),inference(resolution,status(thm),[c12764, c188])).
% 4.50/4.68 cnf(c12766,plain,$false,inference(resolution,status(thm),[c12765, c18])).
% 4.50/4.68 # SZS output end CNFRefutation
% 4.50/4.68
% 4.50/4.68 # Initial clauses : 123
% 4.50/4.68 # Processed clauses : 547
% 4.50/4.68 # Factors computed : 2
% 4.50/4.68 # Resolvents computed: 12584
% 4.50/4.68 # Tautologies deleted: 2
% 4.50/4.68 # Forward subsumed : 210
% 4.50/4.68 # Backward subsumed : 15
% 4.50/4.68 # -------- CPU Time ---------
% 4.50/4.68 # User time : 4.276 s
% 4.50/4.68 # System time : 0.051 s
% 4.50/4.68 # Total time : 4.327 s
%------------------------------------------------------------------------------