TSTP Solution File: SET797+4 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET797+4 : TPTP v8.1.0. 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 : 600s
% DateTime : Tue Jul 19 04:40:15 EDT 2022
% Result : Theorem 156.32s 156.66s
% Output : Refutation 156.32s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET797+4 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.31 % Computer : n015.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 600
% 0.13/0.31 % DateTime : Sat Jul 9 23:14:52 EDT 2022
% 0.13/0.31 % CPUTime :
% 156.32/156.66 # Version: 1.3
% 156.32/156.66 # SZS status Theorem
% 156.32/156.66 # SZS output start CNFRefutation
% 156.32/156.66 fof(thIV9,conjecture,(![R]:(![E]:(order(R,E)=>(![X]:(![Y]:(((subset(X,E)&subset(Y,E))&subset(X,Y))=>(![M]:(upper_bound(M,R,Y)=>upper_bound(M,R,X))))))))),input).
% 156.32/156.66 fof(c22,negated_conjecture,(~(![R]:(![E]:(order(R,E)=>(![X]:(![Y]:(((subset(X,E)&subset(Y,E))&subset(X,Y))=>(![M]:(upper_bound(M,R,Y)=>upper_bound(M,R,X)))))))))),inference(assume_negation,status(cth),[thIV9])).
% 156.32/156.66 fof(c23,negated_conjecture,(?[R]:(?[E]:(order(R,E)&(?[X]:(?[Y]:(((subset(X,E)&subset(Y,E))&subset(X,Y))&(?[M]:(upper_bound(M,R,Y)&~upper_bound(M,R,X))))))))),inference(fof_nnf,status(thm),[c22])).
% 156.32/156.66 fof(c24,negated_conjecture,(?[X2]:(?[X3]:(order(X2,X3)&(?[X4]:(?[X5]:(((subset(X4,X3)&subset(X5,X3))&subset(X4,X5))&(?[X6]:(upper_bound(X6,X2,X5)&~upper_bound(X6,X2,X4))))))))),inference(variable_rename,status(thm),[c23])).
% 156.32/156.66 fof(c25,negated_conjecture,(order(skolem0001,skolem0002)&(((subset(skolem0003,skolem0002)&subset(skolem0004,skolem0002))&subset(skolem0003,skolem0004))&(upper_bound(skolem0005,skolem0001,skolem0004)&~upper_bound(skolem0005,skolem0001,skolem0003)))),inference(skolemize,status(esa),[c24])).
% 156.32/156.66 cnf(c31,negated_conjecture,~upper_bound(skolem0005,skolem0001,skolem0003),inference(split_conjunct,status(thm),[c25])).
% 156.32/156.66 fof(upper_bound,axiom,(![R]:(![E]:(![M]:(upper_bound(M,R,E)<=>(![X]:(member(X,E)=>apply(R,X,M))))))),input).
% 156.32/156.66 fof(c107,axiom,(![R]:(![E]:(![M]:((~upper_bound(M,R,E)|(![X]:(~member(X,E)|apply(R,X,M))))&((?[X]:(member(X,E)&~apply(R,X,M)))|upper_bound(M,R,E)))))),inference(fof_nnf,status(thm),[upper_bound])).
% 156.32/156.66 fof(c108,axiom,((![R]:(![E]:(![M]:(~upper_bound(M,R,E)|(![X]:(~member(X,E)|apply(R,X,M)))))))&(![R]:(![E]:(![M]:((?[X]:(member(X,E)&~apply(R,X,M)))|upper_bound(M,R,E)))))),inference(shift_quantors,status(thm),[c107])).
% 156.32/156.66 fof(c109,axiom,((![X67]:(![X68]:(![X69]:(~upper_bound(X69,X67,X68)|(![X70]:(~member(X70,X68)|apply(X67,X70,X69)))))))&(![X71]:(![X72]:(![X73]:((?[X74]:(member(X74,X72)&~apply(X71,X74,X73)))|upper_bound(X73,X71,X72)))))),inference(variable_rename,status(thm),[c108])).
% 156.32/156.66 fof(c111,axiom,(![X67]:(![X68]:(![X69]:(![X70]:(![X71]:(![X72]:(![X73]:((~upper_bound(X69,X67,X68)|(~member(X70,X68)|apply(X67,X70,X69)))&((member(skolem0013(X71,X72,X73),X72)&~apply(X71,skolem0013(X71,X72,X73),X73))|upper_bound(X73,X71,X72)))))))))),inference(shift_quantors,status(thm),[fof(c110,axiom,((![X67]:(![X68]:(![X69]:(~upper_bound(X69,X67,X68)|(![X70]:(~member(X70,X68)|apply(X67,X70,X69)))))))&(![X71]:(![X72]:(![X73]:((member(skolem0013(X71,X72,X73),X72)&~apply(X71,skolem0013(X71,X72,X73),X73))|upper_bound(X73,X71,X72)))))),inference(skolemize,status(esa),[c109])).])).
% 156.32/156.66 fof(c112,axiom,(![X67]:(![X68]:(![X69]:(![X70]:(![X71]:(![X72]:(![X73]:((~upper_bound(X69,X67,X68)|(~member(X70,X68)|apply(X67,X70,X69)))&((member(skolem0013(X71,X72,X73),X72)|upper_bound(X73,X71,X72))&(~apply(X71,skolem0013(X71,X72,X73),X73)|upper_bound(X73,X71,X72))))))))))),inference(distribute,status(thm),[c111])).
% 156.32/156.66 cnf(c115,axiom,~apply(X774,skolem0013(X774,X773,X772),X772)|upper_bound(X772,X774,X773),inference(split_conjunct,status(thm),[c112])).
% 156.32/156.66 cnf(c30,negated_conjecture,upper_bound(skolem0005,skolem0001,skolem0004),inference(split_conjunct,status(thm),[c25])).
% 156.32/156.66 cnf(c113,axiom,~upper_bound(X761,X759,X762)|~member(X760,X762)|apply(X759,X760,X761),inference(split_conjunct,status(thm),[c112])).
% 156.32/156.66 cnf(c1250,plain,~member(X783,skolem0004)|apply(skolem0001,X783,skolem0005),inference(resolution,status(thm),[c113, c30])).
% 156.32/156.66 cnf(c29,negated_conjecture,subset(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c25])).
% 156.32/156.66 fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),input).
% 156.32/156.66 fof(c271,axiom,(![A]:(![B]:((~subset(A,B)|(![X]:(~member(X,A)|member(X,B))))&((?[X]:(member(X,A)&~member(X,B)))|subset(A,B))))),inference(fof_nnf,status(thm),[subset])).
% 156.32/156.66 fof(c272,axiom,((![A]:(![B]:(~subset(A,B)|(![X]:(~member(X,A)|member(X,B))))))&(![A]:(![B]:((?[X]:(member(X,A)&~member(X,B)))|subset(A,B))))),inference(shift_quantors,status(thm),[c271])).
% 156.32/156.66 fof(c273,axiom,((![X148]:(![X149]:(~subset(X148,X149)|(![X150]:(~member(X150,X148)|member(X150,X149))))))&(![X151]:(![X152]:((?[X153]:(member(X153,X151)&~member(X153,X152)))|subset(X151,X152))))),inference(variable_rename,status(thm),[c272])).
% 156.32/156.66 fof(c275,axiom,(![X148]:(![X149]:(![X150]:(![X151]:(![X152]:((~subset(X148,X149)|(~member(X150,X148)|member(X150,X149)))&((member(skolem0024(X151,X152),X151)&~member(skolem0024(X151,X152),X152))|subset(X151,X152)))))))),inference(shift_quantors,status(thm),[fof(c274,axiom,((![X148]:(![X149]:(~subset(X148,X149)|(![X150]:(~member(X150,X148)|member(X150,X149))))))&(![X151]:(![X152]:((member(skolem0024(X151,X152),X151)&~member(skolem0024(X151,X152),X152))|subset(X151,X152))))),inference(skolemize,status(esa),[c273])).])).
% 156.32/156.66 fof(c276,axiom,(![X148]:(![X149]:(![X150]:(![X151]:(![X152]:((~subset(X148,X149)|(~member(X150,X148)|member(X150,X149)))&((member(skolem0024(X151,X152),X151)|subset(X151,X152))&(~member(skolem0024(X151,X152),X152)|subset(X151,X152))))))))),inference(distribute,status(thm),[c275])).
% 156.32/156.66 cnf(c277,axiom,~subset(X338,X339)|~member(X340,X338)|member(X340,X339),inference(split_conjunct,status(thm),[c276])).
% 156.32/156.66 cnf(c114,axiom,member(skolem0013(X450,X449,X448),X449)|upper_bound(X448,X450,X449),inference(split_conjunct,status(thm),[c112])).
% 156.32/156.66 cnf(c516,plain,member(skolem0013(skolem0001,skolem0003,skolem0005),skolem0003),inference(resolution,status(thm),[c114, c31])).
% 156.32/156.66 cnf(c519,plain,~subset(skolem0003,X2981)|member(skolem0013(skolem0001,skolem0003,skolem0005),X2981),inference(resolution,status(thm),[c516, c277])).
% 156.32/156.66 cnf(c10090,plain,member(skolem0013(skolem0001,skolem0003,skolem0005),skolem0004),inference(resolution,status(thm),[c519, c29])).
% 156.32/156.66 cnf(c10235,plain,apply(skolem0001,skolem0013(skolem0001,skolem0003,skolem0005),skolem0005),inference(resolution,status(thm),[c10090, c1250])).
% 156.32/156.66 cnf(c151648,plain,upper_bound(skolem0005,skolem0001,skolem0003),inference(resolution,status(thm),[c10235, c115])).
% 156.32/156.66 cnf(c151652,plain,$false,inference(resolution,status(thm),[c151648, c31])).
% 156.32/156.66 # SZS output end CNFRefutation
% 156.32/156.66
% 156.32/156.66 # Initial clauses : 165
% 156.32/156.66 # Processed clauses : 2019
% 156.32/156.66 # Factors computed : 0
% 156.32/156.66 # Resolvents computed: 151374
% 156.32/156.66 # Tautologies deleted: 6
% 156.32/156.66 # Forward subsumed : 5645
% 156.32/156.66 # Backward subsumed : 2
% 156.32/156.66 # -------- CPU Time ---------
% 156.32/156.66 # User time : 155.858 s
% 156.32/156.66 # System time : 0.389 s
% 156.32/156.66 # Total time : 156.247 s
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