TSTP Solution File: SET926+1 by PyRes---1.3
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- Process Solution
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% File : PyRes---1.3
% Problem : SET926+1 : TPTP v8.1.0. Released v3.2.0.
% 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 04:41:23 EDT 2022
% Result : Theorem 0.39s 0.55s
% Output : Refutation 0.39s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET926+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 09:59:16 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.39/0.55 # Version: 1.3
% 0.39/0.55 # SZS status Theorem
% 0.39/0.55 # SZS output start CNFRefutation
% 0.39/0.55 fof(t69_zfmisc_1,conjecture,(![A]:(![B]:(set_difference(singleton(A),B)=empty_set|set_difference(singleton(A),B)=singleton(A)))),input).
% 0.39/0.55 fof(c4,negated_conjecture,(~(![A]:(![B]:(set_difference(singleton(A),B)=empty_set|set_difference(singleton(A),B)=singleton(A))))),inference(assume_negation,status(cth),[t69_zfmisc_1])).
% 0.39/0.55 fof(c5,negated_conjecture,(?[A]:(?[B]:(set_difference(singleton(A),B)!=empty_set&set_difference(singleton(A),B)!=singleton(A)))),inference(fof_nnf,status(thm),[c4])).
% 0.39/0.55 fof(c6,negated_conjecture,(?[X2]:(?[X3]:(set_difference(singleton(X2),X3)!=empty_set&set_difference(singleton(X2),X3)!=singleton(X2)))),inference(variable_rename,status(thm),[c5])).
% 0.39/0.55 fof(c7,negated_conjecture,(set_difference(singleton(skolem0001),skolem0002)!=empty_set&set_difference(singleton(skolem0001),skolem0002)!=singleton(skolem0001)),inference(skolemize,status(esa),[c6])).
% 0.39/0.55 cnf(c8,negated_conjecture,set_difference(singleton(skolem0001),skolem0002)!=empty_set,inference(split_conjunct,status(thm),[c7])).
% 0.39/0.55 fof(l36_zfmisc_1,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=empty_set<=>in(A,B)))),input).
% 0.39/0.55 fof(c17,axiom,(![A]:(![B]:((set_difference(singleton(A),B)!=empty_set|in(A,B))&(~in(A,B)|set_difference(singleton(A),B)=empty_set)))),inference(fof_nnf,status(thm),[l36_zfmisc_1])).
% 0.39/0.55 fof(c18,axiom,((![A]:(![B]:(set_difference(singleton(A),B)!=empty_set|in(A,B))))&(![A]:(![B]:(~in(A,B)|set_difference(singleton(A),B)=empty_set)))),inference(shift_quantors,status(thm),[c17])).
% 0.39/0.55 fof(c20,axiom,(![X6]:(![X7]:(![X8]:(![X9]:((set_difference(singleton(X6),X7)!=empty_set|in(X6,X7))&(~in(X8,X9)|set_difference(singleton(X8),X9)=empty_set)))))),inference(shift_quantors,status(thm),[fof(c19,axiom,((![X6]:(![X7]:(set_difference(singleton(X6),X7)!=empty_set|in(X6,X7))))&(![X8]:(![X9]:(~in(X8,X9)|set_difference(singleton(X8),X9)=empty_set)))),inference(variable_rename,status(thm),[c18])).])).
% 0.39/0.55 cnf(c22,axiom,~in(X44,X43)|set_difference(singleton(X44),X43)=empty_set,inference(split_conjunct,status(thm),[c20])).
% 0.39/0.55 cnf(c9,negated_conjecture,set_difference(singleton(skolem0001),skolem0002)!=singleton(skolem0001),inference(split_conjunct,status(thm),[c7])).
% 0.39/0.55 fof(l34_zfmisc_1,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>(~in(A,B))))),input).
% 0.39/0.55 fof(c23,axiom,(![A]:(![B]:(set_difference(singleton(A),B)=singleton(A)<=>~in(A,B)))),inference(fof_simplification,status(thm),[l34_zfmisc_1])).
% 0.39/0.55 fof(c24,axiom,(![A]:(![B]:((set_difference(singleton(A),B)!=singleton(A)|~in(A,B))&(in(A,B)|set_difference(singleton(A),B)=singleton(A))))),inference(fof_nnf,status(thm),[c23])).
% 0.39/0.55 fof(c25,axiom,((![A]:(![B]:(set_difference(singleton(A),B)!=singleton(A)|~in(A,B))))&(![A]:(![B]:(in(A,B)|set_difference(singleton(A),B)=singleton(A))))),inference(shift_quantors,status(thm),[c24])).
% 0.39/0.55 fof(c27,axiom,(![X10]:(![X11]:(![X12]:(![X13]:((set_difference(singleton(X10),X11)!=singleton(X10)|~in(X10,X11))&(in(X12,X13)|set_difference(singleton(X12),X13)=singleton(X12))))))),inference(shift_quantors,status(thm),[fof(c26,axiom,((![X10]:(![X11]:(set_difference(singleton(X10),X11)!=singleton(X10)|~in(X10,X11))))&(![X12]:(![X13]:(in(X12,X13)|set_difference(singleton(X12),X13)=singleton(X12))))),inference(variable_rename,status(thm),[c25])).])).
% 0.39/0.55 cnf(c29,axiom,in(X53,X52)|set_difference(singleton(X53),X52)=singleton(X53),inference(split_conjunct,status(thm),[c27])).
% 0.39/0.55 cnf(c49,plain,in(skolem0001,skolem0002),inference(resolution,status(thm),[c29, c9])).
% 0.39/0.55 cnf(c54,plain,set_difference(singleton(skolem0001),skolem0002)=empty_set,inference(resolution,status(thm),[c49, c22])).
% 0.39/0.55 cnf(c62,plain,$false,inference(resolution,status(thm),[c54, c8])).
% 0.39/0.55 # SZS output end CNFRefutation
% 0.39/0.55
% 0.39/0.55 # Initial clauses : 17
% 0.39/0.55 # Processed clauses : 22
% 0.39/0.55 # Factors computed : 0
% 0.39/0.55 # Resolvents computed: 31
% 0.39/0.55 # Tautologies deleted: 3
% 0.39/0.55 # Forward subsumed : 3
% 0.39/0.55 # Backward subsumed : 0
% 0.39/0.55 # -------- CPU Time ---------
% 0.39/0.55 # User time : 0.179 s
% 0.39/0.55 # System time : 0.013 s
% 0.39/0.55 # Total time : 0.192 s
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