TSTP Solution File: SET063+4 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET063+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 04:35:06 EDT 2022
% Result : Theorem 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET063+4 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n029.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 : Sun Jul 10 10:12:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.60/0.82 # Version: 1.3
% 0.60/0.82 # SZS status Theorem
% 0.60/0.82 # SZS output start CNFRefutation
% 0.60/0.82 fof(thI17,conjecture,(![A]:equal_set(intersection(A,empty_set),empty_set)),input).
% 0.60/0.82 fof(c11,negated_conjecture,(~(![A]:equal_set(intersection(A,empty_set),empty_set))),inference(assume_negation,status(cth),[thI17])).
% 0.60/0.82 fof(c12,negated_conjecture,(?[A]:~equal_set(intersection(A,empty_set),empty_set)),inference(fof_nnf,status(thm),[c11])).
% 0.60/0.82 fof(c13,negated_conjecture,(?[X2]:~equal_set(intersection(X2,empty_set),empty_set)),inference(variable_rename,status(thm),[c12])).
% 0.60/0.82 fof(c14,negated_conjecture,~equal_set(intersection(skolem0001,empty_set),empty_set),inference(skolemize,status(esa),[c13])).
% 0.60/0.82 cnf(c15,negated_conjecture,~equal_set(intersection(skolem0001,empty_set),empty_set),inference(split_conjunct,status(thm),[c14])).
% 0.60/0.82 fof(empty_set,axiom,(![X]:(~member(X,empty_set))),input).
% 0.60/0.82 fof(c57,axiom,(![X]:~member(X,empty_set)),inference(fof_simplification,status(thm),[empty_set])).
% 0.60/0.82 fof(c58,axiom,(![X31]:~member(X31,empty_set)),inference(variable_rename,status(thm),[c57])).
% 0.60/0.82 cnf(c59,axiom,~member(X59,empty_set),inference(split_conjunct,status(thm),[c58])).
% 0.60/0.82 fof(subset,axiom,(![A]:(![B]:(subset(A,B)<=>(![X]:(member(X,A)=>member(X,B)))))),input).
% 0.60/0.82 fof(c90,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])).
% 0.60/0.82 fof(c91,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),[c90])).
% 0.60/0.82 fof(c92,axiom,((![X52]:(![X53]:(~subset(X52,X53)|(![X54]:(~member(X54,X52)|member(X54,X53))))))&(![X55]:(![X56]:((?[X57]:(member(X57,X55)&~member(X57,X56)))|subset(X55,X56))))),inference(variable_rename,status(thm),[c91])).
% 0.60/0.82 fof(c94,axiom,(![X52]:(![X53]:(![X54]:(![X55]:(![X56]:((~subset(X52,X53)|(~member(X54,X52)|member(X54,X53)))&((member(skolem0004(X55,X56),X55)&~member(skolem0004(X55,X56),X56))|subset(X55,X56)))))))),inference(shift_quantors,status(thm),[fof(c93,axiom,((![X52]:(![X53]:(~subset(X52,X53)|(![X54]:(~member(X54,X52)|member(X54,X53))))))&(![X55]:(![X56]:((member(skolem0004(X55,X56),X55)&~member(skolem0004(X55,X56),X56))|subset(X55,X56))))),inference(skolemize,status(esa),[c92])).])).
% 0.60/0.82 fof(c95,axiom,(![X52]:(![X53]:(![X54]:(![X55]:(![X56]:((~subset(X52,X53)|(~member(X54,X52)|member(X54,X53)))&((member(skolem0004(X55,X56),X55)|subset(X55,X56))&(~member(skolem0004(X55,X56),X56)|subset(X55,X56))))))))),inference(distribute,status(thm),[c94])).
% 0.60/0.82 cnf(c97,axiom,member(skolem0004(X145,X144),X145)|subset(X145,X144),inference(split_conjunct,status(thm),[c95])).
% 0.60/0.82 cnf(c129,plain,subset(empty_set,X146),inference(resolution,status(thm),[c97, c59])).
% 0.60/0.82 fof(equal_set,axiom,(![A]:(![B]:(equal_set(A,B)<=>(subset(A,B)&subset(B,A))))),input).
% 0.60/0.82 fof(c82,axiom,(![A]:(![B]:((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&((~subset(A,B)|~subset(B,A))|equal_set(A,B))))),inference(fof_nnf,status(thm),[equal_set])).
% 0.60/0.82 fof(c83,axiom,((![A]:(![B]:(~equal_set(A,B)|(subset(A,B)&subset(B,A)))))&(![A]:(![B]:((~subset(A,B)|~subset(B,A))|equal_set(A,B))))),inference(shift_quantors,status(thm),[c82])).
% 0.60/0.82 fof(c85,axiom,(![X48]:(![X49]:(![X50]:(![X51]:((~equal_set(X48,X49)|(subset(X48,X49)&subset(X49,X48)))&((~subset(X50,X51)|~subset(X51,X50))|equal_set(X50,X51))))))),inference(shift_quantors,status(thm),[fof(c84,axiom,((![X48]:(![X49]:(~equal_set(X48,X49)|(subset(X48,X49)&subset(X49,X48)))))&(![X50]:(![X51]:((~subset(X50,X51)|~subset(X51,X50))|equal_set(X50,X51))))),inference(variable_rename,status(thm),[c83])).])).
% 0.60/0.82 fof(c86,axiom,(![X48]:(![X49]:(![X50]:(![X51]:(((~equal_set(X48,X49)|subset(X48,X49))&(~equal_set(X48,X49)|subset(X49,X48)))&((~subset(X50,X51)|~subset(X51,X50))|equal_set(X50,X51))))))),inference(distribute,status(thm),[c85])).
% 0.60/0.82 cnf(c89,axiom,~subset(X173,X172)|~subset(X172,X173)|equal_set(X173,X172),inference(split_conjunct,status(thm),[c86])).
% 0.60/0.82 cnf(c158,plain,~subset(X182,empty_set)|equal_set(X182,empty_set),inference(resolution,status(thm),[c89, c129])).
% 0.60/0.82 cnf(c98,axiom,~member(skolem0004(X158,X157),X157)|subset(X158,X157),inference(split_conjunct,status(thm),[c95])).
% 0.60/0.82 fof(intersection,axiom,(![X]:(![A]:(![B]:(member(X,intersection(A,B))<=>(member(X,A)&member(X,B)))))),input).
% 0.60/0.82 fof(c68,axiom,(![X]:(![A]:(![B]:((~member(X,intersection(A,B))|(member(X,A)&member(X,B)))&((~member(X,A)|~member(X,B))|member(X,intersection(A,B))))))),inference(fof_nnf,status(thm),[intersection])).
% 0.60/0.82 fof(c69,axiom,((![X]:(![A]:(![B]:(~member(X,intersection(A,B))|(member(X,A)&member(X,B))))))&(![X]:(![A]:(![B]:((~member(X,A)|~member(X,B))|member(X,intersection(A,B))))))),inference(shift_quantors,status(thm),[c68])).
% 0.60/0.82 fof(c71,axiom,(![X38]:(![X39]:(![X40]:(![X41]:(![X42]:(![X43]:((~member(X38,intersection(X39,X40))|(member(X38,X39)&member(X38,X40)))&((~member(X41,X42)|~member(X41,X43))|member(X41,intersection(X42,X43)))))))))),inference(shift_quantors,status(thm),[fof(c70,axiom,((![X38]:(![X39]:(![X40]:(~member(X38,intersection(X39,X40))|(member(X38,X39)&member(X38,X40))))))&(![X41]:(![X42]:(![X43]:((~member(X41,X42)|~member(X41,X43))|member(X41,intersection(X42,X43))))))),inference(variable_rename,status(thm),[c69])).])).
% 0.60/0.82 fof(c72,axiom,(![X38]:(![X39]:(![X40]:(![X41]:(![X42]:(![X43]:(((~member(X38,intersection(X39,X40))|member(X38,X39))&(~member(X38,intersection(X39,X40))|member(X38,X40)))&((~member(X41,X42)|~member(X41,X43))|member(X41,intersection(X42,X43)))))))))),inference(distribute,status(thm),[c71])).
% 0.60/0.82 cnf(c74,axiom,~member(X141,intersection(X143,X142))|member(X141,X142),inference(split_conjunct,status(thm),[c72])).
% 0.60/0.82 cnf(c133,plain,subset(intersection(X491,X492),X490)|member(skolem0004(intersection(X491,X492),X490),X492),inference(resolution,status(thm),[c97, c74])).
% 0.60/0.82 cnf(c902,plain,subset(intersection(X493,X494),X494),inference(resolution,status(thm),[c133, c98])).
% 0.60/0.82 cnf(c907,plain,equal_set(intersection(X497,empty_set),empty_set),inference(resolution,status(thm),[c902, c158])).
% 0.60/0.82 cnf(c918,plain,$false,inference(resolution,status(thm),[c907, c15])).
% 0.60/0.82 # SZS output end CNFRefutation
% 0.60/0.82
% 0.60/0.82 # Initial clauses : 44
% 0.60/0.82 # Processed clauses : 139
% 0.60/0.82 # Factors computed : 0
% 0.60/0.82 # Resolvents computed: 820
% 0.60/0.82 # Tautologies deleted: 1
% 0.60/0.82 # Forward subsumed : 91
% 0.60/0.82 # Backward subsumed : 1
% 0.60/0.82 # -------- CPU Time ---------
% 0.60/0.82 # User time : 0.455 s
% 0.60/0.82 # System time : 0.024 s
% 0.60/0.82 # Total time : 0.479 s
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