TSTP Solution File: SET798+4 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET798+4 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n018.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 162.47s 162.70s
% Output : Refutation 162.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET798+4 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n018.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 02:12:43 EDT 2022
% 0.13/0.33 % CPUTime :
% 162.47/162.70 # Version: 1.3
% 162.47/162.70 # SZS status Theorem
% 162.47/162.70 # SZS output start CNFRefutation
% 162.47/162.70 fof(thIV10,conjecture,(![R]:(![E]:(order(R,E)=>(![X]:(![Y]:(((subset(X,E)&subset(Y,E))&subset(X,Y))=>(![M]:(lower_bound(M,R,Y)=>lower_bound(M,R,X))))))))),input).
% 162.47/162.70 fof(c22,negated_conjecture,(~(![R]:(![E]:(order(R,E)=>(![X]:(![Y]:(((subset(X,E)&subset(Y,E))&subset(X,Y))=>(![M]:(lower_bound(M,R,Y)=>lower_bound(M,R,X)))))))))),inference(assume_negation,status(cth),[thIV10])).
% 162.47/162.70 fof(c23,negated_conjecture,(?[R]:(?[E]:(order(R,E)&(?[X]:(?[Y]:(((subset(X,E)&subset(Y,E))&subset(X,Y))&(?[M]:(lower_bound(M,R,Y)&~lower_bound(M,R,X))))))))),inference(fof_nnf,status(thm),[c22])).
% 162.47/162.70 fof(c24,negated_conjecture,(?[X2]:(?[X3]:(order(X2,X3)&(?[X4]:(?[X5]:(((subset(X4,X3)&subset(X5,X3))&subset(X4,X5))&(?[X6]:(lower_bound(X6,X2,X5)&~lower_bound(X6,X2,X4))))))))),inference(variable_rename,status(thm),[c23])).
% 162.47/162.70 fof(c25,negated_conjecture,(order(skolem0001,skolem0002)&(((subset(skolem0003,skolem0002)&subset(skolem0004,skolem0002))&subset(skolem0003,skolem0004))&(lower_bound(skolem0005,skolem0001,skolem0004)&~lower_bound(skolem0005,skolem0001,skolem0003)))),inference(skolemize,status(esa),[c24])).
% 162.47/162.70 cnf(c31,negated_conjecture,~lower_bound(skolem0005,skolem0001,skolem0003),inference(split_conjunct,status(thm),[c25])).
% 162.47/162.70 fof(lower_bound,axiom,(![R]:(![E]:(![M]:(lower_bound(M,R,E)<=>(![X]:(member(X,E)=>apply(R,M,X))))))),input).
% 162.47/162.70 fof(c98,axiom,(![R]:(![E]:(![M]:((~lower_bound(M,R,E)|(![X]:(~member(X,E)|apply(R,M,X))))&((?[X]:(member(X,E)&~apply(R,M,X)))|lower_bound(M,R,E)))))),inference(fof_nnf,status(thm),[lower_bound])).
% 162.47/162.70 fof(c99,axiom,((![R]:(![E]:(![M]:(~lower_bound(M,R,E)|(![X]:(~member(X,E)|apply(R,M,X)))))))&(![R]:(![E]:(![M]:((?[X]:(member(X,E)&~apply(R,M,X)))|lower_bound(M,R,E)))))),inference(shift_quantors,status(thm),[c98])).
% 162.47/162.70 fof(c100,axiom,((![X59]:(![X60]:(![X61]:(~lower_bound(X61,X59,X60)|(![X62]:(~member(X62,X60)|apply(X59,X61,X62)))))))&(![X63]:(![X64]:(![X65]:((?[X66]:(member(X66,X64)&~apply(X63,X65,X66)))|lower_bound(X65,X63,X64)))))),inference(variable_rename,status(thm),[c99])).
% 162.47/162.70 fof(c102,axiom,(![X59]:(![X60]:(![X61]:(![X62]:(![X63]:(![X64]:(![X65]:((~lower_bound(X61,X59,X60)|(~member(X62,X60)|apply(X59,X61,X62)))&((member(skolem0012(X63,X64,X65),X64)&~apply(X63,X65,skolem0012(X63,X64,X65)))|lower_bound(X65,X63,X64)))))))))),inference(shift_quantors,status(thm),[fof(c101,axiom,((![X59]:(![X60]:(![X61]:(~lower_bound(X61,X59,X60)|(![X62]:(~member(X62,X60)|apply(X59,X61,X62)))))))&(![X63]:(![X64]:(![X65]:((member(skolem0012(X63,X64,X65),X64)&~apply(X63,X65,skolem0012(X63,X64,X65)))|lower_bound(X65,X63,X64)))))),inference(skolemize,status(esa),[c100])).])).
% 162.47/162.70 fof(c103,axiom,(![X59]:(![X60]:(![X61]:(![X62]:(![X63]:(![X64]:(![X65]:((~lower_bound(X61,X59,X60)|(~member(X62,X60)|apply(X59,X61,X62)))&((member(skolem0012(X63,X64,X65),X64)|lower_bound(X65,X63,X64))&(~apply(X63,X65,skolem0012(X63,X64,X65))|lower_bound(X65,X63,X64))))))))))),inference(distribute,status(thm),[c102])).
% 162.47/162.70 cnf(c106,axiom,~apply(X750,X751,skolem0012(X750,X752,X751))|lower_bound(X751,X750,X752),inference(split_conjunct,status(thm),[c103])).
% 162.47/162.70 cnf(c30,negated_conjecture,lower_bound(skolem0005,skolem0001,skolem0004),inference(split_conjunct,status(thm),[c25])).
% 162.47/162.70 cnf(c104,axiom,~lower_bound(X735,X734,X733)|~member(X736,X733)|apply(X734,X735,X736),inference(split_conjunct,status(thm),[c103])).
% 162.47/162.70 cnf(c1181,plain,~member(X740,skolem0004)|apply(skolem0001,skolem0005,X740),inference(resolution,status(thm),[c104, c30])).
% 162.47/162.70 cnf(c29,negated_conjecture,subset(skolem0003,skolem0004),inference(split_conjunct,status(thm),[c25])).
% 162.47/162.70 fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),input).
% 162.47/162.70 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])).
% 162.47/162.70 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])).
% 162.47/162.70 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])).
% 162.47/162.70 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])).])).
% 162.47/162.70 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])).
% 162.47/162.70 cnf(c277,axiom,~subset(X340,X339)|~member(X338,X340)|member(X338,X339),inference(split_conjunct,status(thm),[c276])).
% 162.47/162.70 cnf(c105,axiom,member(skolem0012(X443,X445,X444),X445)|lower_bound(X444,X443,X445),inference(split_conjunct,status(thm),[c103])).
% 162.47/162.70 cnf(c502,plain,member(skolem0012(skolem0001,skolem0003,skolem0005),skolem0003),inference(resolution,status(thm),[c105, c31])).
% 162.47/162.70 cnf(c505,plain,~subset(skolem0003,X2822)|member(skolem0012(skolem0001,skolem0003,skolem0005),X2822),inference(resolution,status(thm),[c502, c277])).
% 162.47/162.70 cnf(c9162,plain,member(skolem0012(skolem0001,skolem0003,skolem0005),skolem0004),inference(resolution,status(thm),[c505, c29])).
% 162.47/162.70 cnf(c9600,plain,apply(skolem0001,skolem0005,skolem0012(skolem0001,skolem0003,skolem0005)),inference(resolution,status(thm),[c9162, c1181])).
% 162.47/162.70 cnf(c149169,plain,lower_bound(skolem0005,skolem0001,skolem0003),inference(resolution,status(thm),[c9600, c106])).
% 162.47/162.70 cnf(c149170,plain,$false,inference(resolution,status(thm),[c149169, c31])).
% 162.47/162.70 # SZS output end CNFRefutation
% 162.47/162.70
% 162.47/162.70 # Initial clauses : 165
% 162.47/162.70 # Processed clauses : 1994
% 162.47/162.70 # Factors computed : 0
% 162.47/162.70 # Resolvents computed: 148895
% 162.47/162.70 # Tautologies deleted: 6
% 162.47/162.70 # Forward subsumed : 5622
% 162.47/162.70 # Backward subsumed : 2
% 162.47/162.70 # -------- CPU Time ---------
% 162.47/162.70 # User time : 161.979 s
% 162.47/162.70 # System time : 0.382 s
% 162.47/162.70 # Total time : 162.361 s
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