TSTP Solution File: SET797+4 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET797+4 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n020.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 17:40:06 EDT 2024
% Result : Theorem 182.64s 182.81s
% Output : Refutation 182.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET797+4 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed May 8 18:27:23 EDT 2024
% 0.14/0.34 % CPUTime :
% 182.64/182.81 % Version: 1.5
% 182.64/182.81 % SZS status Theorem
% 182.64/182.81 % SZS output start CNFRefutation
% 182.64/182.81 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))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thIV9)).
% 182.64/182.81 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])).
% 182.64/182.81 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])).
% 182.64/182.81 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])).
% 182.64/182.81 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])).
% 182.64/182.81 cnf(c31,negated_conjecture,~upper_bound(skolem0005,skolem0001,skolem0003),inference(split_conjunct,[status(thm)],[c25])).
% 182.64/182.81 fof(upper_bound,axiom,(![R]:(![E]:(![M]:(upper_bound(M,R,E)<=>(![X]:(member(X,E)=>apply(R,X,M))))))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax', upper_bound)).
% 182.64/182.81 fof(c107,plain,(![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])).
% 182.64/182.81 fof(c108,plain,((![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])).
% 182.64/182.81 fof(c109,plain,((![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])).
% 182.64/182.81 fof(c111,plain,(![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,plain,((![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])).])).
% 182.64/182.81 fof(c112,plain,(![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])).
% 182.64/182.81 cnf(c115,plain,~apply(X773,skolem0013(X773,X772,X771),X771)|upper_bound(X771,X773,X772),inference(split_conjunct,[status(thm)],[c112])).
% 182.64/182.81 cnf(c30,negated_conjecture,upper_bound(skolem0005,skolem0001,skolem0004),inference(split_conjunct,[status(thm)],[c25])).
% 182.64/182.81 cnf(c113,plain,~upper_bound(X761,X760,X763)|~member(X762,X763)|apply(X760,X762,X761),inference(split_conjunct,[status(thm)],[c112])).
% 182.64/182.81 cnf(c1249,plain,~member(X767,skolem0004)|apply(skolem0001,X767,skolem0005),inference(resolution,[status(thm)],[c113, c30])).
% 182.64/182.81 cnf(c29,negated_conjecture,subset(skolem0003,skolem0004),inference(split_conjunct,[status(thm)],[c25])).
% 182.64/182.81 fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax', subset)).
% 182.64/182.81 fof(c271,plain,(![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])).
% 182.64/182.81 fof(c272,plain,((![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])).
% 182.64/182.81 fof(c273,plain,((![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])).
% 182.64/182.81 fof(c275,plain,(![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,plain,((![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])).])).
% 182.64/182.81 fof(c276,plain,(![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])).
% 182.64/182.81 cnf(c277,plain,~subset(X341,X340)|~member(X342,X341)|member(X342,X340),inference(split_conjunct,[status(thm)],[c276])).
% 182.64/182.81 cnf(c114,plain,member(skolem0013(X464,X463,X462),X463)|upper_bound(X462,X464,X463),inference(split_conjunct,[status(thm)],[c112])).
% 182.64/182.81 cnf(c523,plain,member(skolem0013(skolem0001,skolem0003,skolem0005),skolem0003),inference(resolution,[status(thm)],[c114, c31])).
% 182.64/182.81 cnf(c526,plain,~subset(skolem0003,X3011)|member(skolem0013(skolem0001,skolem0003,skolem0005),X3011),inference(resolution,[status(thm)],[c523, c277])).
% 182.64/182.81 cnf(c10485,plain,member(skolem0013(skolem0001,skolem0003,skolem0005),skolem0004),inference(resolution,[status(thm)],[c526, c29])).
% 182.64/182.81 cnf(c10540,plain,apply(skolem0001,skolem0013(skolem0001,skolem0003,skolem0005),skolem0005),inference(resolution,[status(thm)],[c10485, c1249])).
% 182.64/182.81 cnf(c162093,plain,upper_bound(skolem0005,skolem0001,skolem0003),inference(resolution,[status(thm)],[c10540, c115])).
% 182.64/182.81 cnf(c162100,plain,$false,inference(resolution,[status(thm)],[c162093, c31])).
% 182.64/182.81 % SZS output end CNFRefutation
% 182.64/182.81
% 182.64/182.81 % Initial clauses : 165
% 182.64/182.81 % Processed clauses : 2078
% 182.64/182.81 % Factors computed : 57
% 182.64/182.81 % Resolvents computed: 162083
% 182.64/182.81 % Tautologies deleted: 8
% 182.64/182.81 % Forward subsumed : 5774
% 182.64/182.81 % Backward subsumed : 8
% 182.64/182.81 % -------- CPU Time ---------
% 182.64/182.81 % User time : 182.032 s
% 182.64/182.81 % System time : 0.440 s
% 182.64/182.81 % Total time : 182.472 s
%------------------------------------------------------------------------------