TSTP Solution File: SET799+4 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET799+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n008.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 04:40:16 EDT 2022
% Result : Theorem 0.94s 1.10s
% Output : Refutation 0.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET799+4 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 07:28:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.94/1.10 # Version: 1.3
% 0.94/1.10 # SZS status Theorem
% 0.94/1.10 # SZS output start CNFRefutation
% 0.94/1.10 fof(thIV11,conjecture,(![R]:(![E]:(order(R,E)=>(![X1]:(![X2]:(((subset(X1,E)&subset(X2,E))&subset(X1,X2))=>(![M1]:(![M2]:((least_upper_bound(M1,X1,R,E)&least_upper_bound(M2,X2,R,E))=>apply(R,M1,M2)))))))))),input).
% 0.94/1.10 fof(c22,negated_conjecture,(~(![R]:(![E]:(order(R,E)=>(![X1]:(![X2]:(((subset(X1,E)&subset(X2,E))&subset(X1,X2))=>(![M1]:(![M2]:((least_upper_bound(M1,X1,R,E)&least_upper_bound(M2,X2,R,E))=>apply(R,M1,M2))))))))))),inference(assume_negation,status(cth),[thIV11])).
% 0.94/1.10 fof(c23,negated_conjecture,(?[R]:(?[E]:(order(R,E)&(?[X1]:(?[X2]:(((subset(X1,E)&subset(X2,E))&subset(X1,X2))&(?[M1]:(?[M2]:((least_upper_bound(M1,X1,R,E)&least_upper_bound(M2,X2,R,E))&~apply(R,M1,M2)))))))))),inference(fof_nnf,status(thm),[c22])).
% 0.94/1.10 fof(c24,negated_conjecture,(?[X2]:(?[X3]:(order(X2,X3)&(?[X4]:(?[X5]:(((subset(X4,X3)&subset(X5,X3))&subset(X4,X5))&(?[X6]:(?[X7]:((least_upper_bound(X6,X4,X2,X3)&least_upper_bound(X7,X5,X2,X3))&~apply(X2,X6,X7)))))))))),inference(variable_rename,status(thm),[c23])).
% 0.94/1.10 fof(c25,negated_conjecture,(order(skolem0001,skolem0002)&(((subset(skolem0003,skolem0002)&subset(skolem0004,skolem0002))&subset(skolem0003,skolem0004))&((least_upper_bound(skolem0005,skolem0003,skolem0001,skolem0002)&least_upper_bound(skolem0006,skolem0004,skolem0001,skolem0002))&~apply(skolem0001,skolem0005,skolem0006)))),inference(skolemize,status(esa),[c24])).
% 0.94/1.10 cnf(c32,negated_conjecture,~apply(skolem0001,skolem0005,skolem0006),inference(split_conjunct,status(thm),[c25])).
% 0.94/1.10 cnf(c29,negated_conjecture,subset(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c25])).
% 0.94/1.10 cnf(c30,negated_conjecture,least_upper_bound(skolem0005,skolem0003,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c25])).
% 0.94/1.10 fof(least_upper_bound,axiom,(![A]:(![X]:(![R]:(![E]:(least_upper_bound(A,X,R,E)<=>((member(A,X)&upper_bound(A,R,X))&(![M]:((member(M,E)&upper_bound(M,R,X))=>apply(R,A,M))))))))),input).
% 0.94/1.10 fof(c45,axiom,(![A]:(![X]:(![R]:(![E]:((~least_upper_bound(A,X,R,E)|((member(A,X)&upper_bound(A,R,X))&(![M]:((~member(M,E)|~upper_bound(M,R,X))|apply(R,A,M)))))&(((~member(A,X)|~upper_bound(A,R,X))|(?[M]:((member(M,E)&upper_bound(M,R,X))&~apply(R,A,M))))|least_upper_bound(A,X,R,E))))))),inference(fof_nnf,status(thm),[least_upper_bound])).
% 0.94/1.10 fof(c46,axiom,((![A]:(![X]:(![R]:(![E]:(~least_upper_bound(A,X,R,E)|((member(A,X)&upper_bound(A,R,X))&(![M]:((~member(M,E)|~upper_bound(M,R,X))|apply(R,A,M)))))))))&(![A]:(![X]:(![R]:(![E]:(((~member(A,X)|~upper_bound(A,R,X))|(?[M]:((member(M,E)&upper_bound(M,R,X))&~apply(R,A,M))))|least_upper_bound(A,X,R,E))))))),inference(shift_quantors,status(thm),[c45])).
% 0.94/1.10 fof(c47,axiom,((![X18]:(![X19]:(![X20]:(![X21]:(~least_upper_bound(X18,X19,X20,X21)|((member(X18,X19)&upper_bound(X18,X20,X19))&(![X22]:((~member(X22,X21)|~upper_bound(X22,X20,X19))|apply(X20,X18,X22)))))))))&(![X23]:(![X24]:(![X25]:(![X26]:(((~member(X23,X24)|~upper_bound(X23,X25,X24))|(?[X27]:((member(X27,X26)&upper_bound(X27,X25,X24))&~apply(X25,X23,X27))))|least_upper_bound(X23,X24,X25,X26))))))),inference(variable_rename,status(thm),[c46])).
% 0.94/1.10 fof(c49,axiom,(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:(![X25]:(![X26]:((~least_upper_bound(X18,X19,X20,X21)|((member(X18,X19)&upper_bound(X18,X20,X19))&((~member(X22,X21)|~upper_bound(X22,X20,X19))|apply(X20,X18,X22))))&(((~member(X23,X24)|~upper_bound(X23,X25,X24))|((member(skolem0008(X23,X24,X25,X26),X26)&upper_bound(skolem0008(X23,X24,X25,X26),X25,X24))&~apply(X25,X23,skolem0008(X23,X24,X25,X26))))|least_upper_bound(X23,X24,X25,X26)))))))))))),inference(shift_quantors,status(thm),[fof(c48,axiom,((![X18]:(![X19]:(![X20]:(![X21]:(~least_upper_bound(X18,X19,X20,X21)|((member(X18,X19)&upper_bound(X18,X20,X19))&(![X22]:((~member(X22,X21)|~upper_bound(X22,X20,X19))|apply(X20,X18,X22)))))))))&(![X23]:(![X24]:(![X25]:(![X26]:(((~member(X23,X24)|~upper_bound(X23,X25,X24))|((member(skolem0008(X23,X24,X25,X26),X26)&upper_bound(skolem0008(X23,X24,X25,X26),X25,X24))&~apply(X25,X23,skolem0008(X23,X24,X25,X26))))|least_upper_bound(X23,X24,X25,X26))))))),inference(skolemize,status(esa),[c47])).])).
% 0.94/1.10 fof(c50,axiom,(![X18]:(![X19]:(![X20]:(![X21]:(![X22]:(![X23]:(![X24]:(![X25]:(![X26]:((((~least_upper_bound(X18,X19,X20,X21)|member(X18,X19))&(~least_upper_bound(X18,X19,X20,X21)|upper_bound(X18,X20,X19)))&(~least_upper_bound(X18,X19,X20,X21)|((~member(X22,X21)|~upper_bound(X22,X20,X19))|apply(X20,X18,X22))))&(((((~member(X23,X24)|~upper_bound(X23,X25,X24))|member(skolem0008(X23,X24,X25,X26),X26))|least_upper_bound(X23,X24,X25,X26))&(((~member(X23,X24)|~upper_bound(X23,X25,X24))|upper_bound(skolem0008(X23,X24,X25,X26),X25,X24))|least_upper_bound(X23,X24,X25,X26)))&(((~member(X23,X24)|~upper_bound(X23,X25,X24))|~apply(X25,X23,skolem0008(X23,X24,X25,X26)))|least_upper_bound(X23,X24,X25,X26))))))))))))),inference(distribute,status(thm),[c49])).
% 0.94/1.10 cnf(c51,axiom,~least_upper_bound(X197,X195,X194,X196)|member(X197,X195),inference(split_conjunct,status(thm),[c50])).
% 0.94/1.10 cnf(c285,plain,member(skolem0005,skolem0003),inference(resolution,status(thm),[c51, c30])).
% 0.94/1.10 fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),input).
% 0.94/1.10 fof(c272,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])).
% 0.94/1.10 fof(c273,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),[c272])).
% 0.94/1.10 fof(c274,axiom,((![X149]:(![X150]:(~subset(X149,X150)|(![X151]:(~member(X151,X149)|member(X151,X150))))))&(![X152]:(![X153]:((?[X154]:(member(X154,X152)&~member(X154,X153)))|subset(X152,X153))))),inference(variable_rename,status(thm),[c273])).
% 0.94/1.10 fof(c276,axiom,(![X149]:(![X150]:(![X151]:(![X152]:(![X153]:((~subset(X149,X150)|(~member(X151,X149)|member(X151,X150)))&((member(skolem0025(X152,X153),X152)&~member(skolem0025(X152,X153),X153))|subset(X152,X153)))))))),inference(shift_quantors,status(thm),[fof(c275,axiom,((![X149]:(![X150]:(~subset(X149,X150)|(![X151]:(~member(X151,X149)|member(X151,X150))))))&(![X152]:(![X153]:((member(skolem0025(X152,X153),X152)&~member(skolem0025(X152,X153),X153))|subset(X152,X153))))),inference(skolemize,status(esa),[c274])).])).
% 0.94/1.10 fof(c277,axiom,(![X149]:(![X150]:(![X151]:(![X152]:(![X153]:((~subset(X149,X150)|(~member(X151,X149)|member(X151,X150)))&((member(skolem0025(X152,X153),X152)|subset(X152,X153))&(~member(skolem0025(X152,X153),X153)|subset(X152,X153))))))))),inference(distribute,status(thm),[c276])).
% 0.94/1.10 cnf(c278,axiom,~subset(X357,X356)|~member(X355,X357)|member(X355,X356),inference(split_conjunct,status(thm),[c277])).
% 0.94/1.10 cnf(c442,plain,~subset(skolem0003,X358)|member(skolem0005,X358),inference(resolution,status(thm),[c278, c285])).
% 0.94/1.10 cnf(c466,plain,member(skolem0005,skolem0004),inference(resolution,status(thm),[c442, c29])).
% 0.94/1.10 cnf(c31,negated_conjecture,least_upper_bound(skolem0006,skolem0004,skolem0001,skolem0002),inference(split_conjunct,status(thm),[c25])).
% 0.94/1.10 cnf(c52,axiom,~least_upper_bound(X226,X224,X223,X225)|upper_bound(X226,X223,X224),inference(split_conjunct,status(thm),[c50])).
% 0.94/1.10 cnf(c299,plain,upper_bound(skolem0006,skolem0001,skolem0004),inference(resolution,status(thm),[c52, c31])).
% 0.94/1.10 fof(upper_bound,axiom,(![R]:(![E]:(![M]:(upper_bound(M,R,E)<=>(![X]:(member(X,E)=>apply(R,X,M))))))),input).
% 0.94/1.10 fof(c108,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])).
% 0.94/1.10 fof(c109,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),[c108])).
% 0.94/1.10 fof(c110,axiom,((![X68]:(![X69]:(![X70]:(~upper_bound(X70,X68,X69)|(![X71]:(~member(X71,X69)|apply(X68,X71,X70)))))))&(![X72]:(![X73]:(![X74]:((?[X75]:(member(X75,X73)&~apply(X72,X75,X74)))|upper_bound(X74,X72,X73)))))),inference(variable_rename,status(thm),[c109])).
% 0.94/1.10 fof(c112,axiom,(![X68]:(![X69]:(![X70]:(![X71]:(![X72]:(![X73]:(![X74]:((~upper_bound(X70,X68,X69)|(~member(X71,X69)|apply(X68,X71,X70)))&((member(skolem0014(X72,X73,X74),X73)&~apply(X72,skolem0014(X72,X73,X74),X74))|upper_bound(X74,X72,X73)))))))))),inference(shift_quantors,status(thm),[fof(c111,axiom,((![X68]:(![X69]:(![X70]:(~upper_bound(X70,X68,X69)|(![X71]:(~member(X71,X69)|apply(X68,X71,X70)))))))&(![X72]:(![X73]:(![X74]:((member(skolem0014(X72,X73,X74),X73)&~apply(X72,skolem0014(X72,X73,X74),X74))|upper_bound(X74,X72,X73)))))),inference(skolemize,status(esa),[c110])).])).
% 0.94/1.10 fof(c113,axiom,(![X68]:(![X69]:(![X70]:(![X71]:(![X72]:(![X73]:(![X74]:((~upper_bound(X70,X68,X69)|(~member(X71,X69)|apply(X68,X71,X70)))&((member(skolem0014(X72,X73,X74),X73)|upper_bound(X74,X72,X73))&(~apply(X72,skolem0014(X72,X73,X74),X74)|upper_bound(X74,X72,X73))))))))))),inference(distribute,status(thm),[c112])).
% 0.94/1.10 cnf(c114,axiom,~upper_bound(X690,X688,X689)|~member(X687,X689)|apply(X688,X687,X690),inference(split_conjunct,status(thm),[c113])).
% 0.94/1.10 cnf(c1358,plain,~member(X732,skolem0004)|apply(skolem0001,X732,skolem0006),inference(resolution,status(thm),[c114, c299])).
% 0.94/1.10 cnf(c1518,plain,apply(skolem0001,skolem0005,skolem0006),inference(resolution,status(thm),[c1358, c466])).
% 0.94/1.10 cnf(c1522,plain,$false,inference(resolution,status(thm),[c1518, c32])).
% 0.94/1.10 # SZS output end CNFRefutation
% 0.94/1.10
% 0.94/1.10 # Initial clauses : 166
% 0.94/1.10 # Processed clauses : 220
% 0.94/1.10 # Factors computed : 0
% 0.94/1.10 # Resolvents computed: 1243
% 0.94/1.10 # Tautologies deleted: 1
% 0.94/1.10 # Forward subsumed : 103
% 0.94/1.10 # Backward subsumed : 1
% 0.94/1.10 # -------- CPU Time ---------
% 0.94/1.10 # User time : 0.751 s
% 0.94/1.10 # System time : 0.012 s
% 0.94/1.10 # Total time : 0.763 s
%------------------------------------------------------------------------------