TSTP Solution File: SET923+1 by PyRes---1.3
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- Process Solution
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% File : PyRes---1.3
% Problem : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 04:41:21 EDT 2022
% Result : Theorem 0.46s 0.61s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET923+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.33 % Computer : n021.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 09:13:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.46/0.61 # Version: 1.3
% 0.46/0.61 # SZS status Theorem
% 0.46/0.61 # SZS output start CNFRefutation
% 0.46/0.61 fof(t66_zfmisc_1,conjecture,(![A]:(![B]:(~((set_difference(A,singleton(B))=empty_set&A!=empty_set)&A!=singleton(B))))),input).
% 0.46/0.61 fof(c4,negated_conjecture,(~(![A]:(![B]:(~((set_difference(A,singleton(B))=empty_set&A!=empty_set)&A!=singleton(B)))))),inference(assume_negation,status(cth),[t66_zfmisc_1])).
% 0.46/0.61 fof(c5,negated_conjecture,(?[A]:(?[B]:((set_difference(A,singleton(B))=empty_set&A!=empty_set)&A!=singleton(B)))),inference(fof_nnf,status(thm),[c4])).
% 0.46/0.61 fof(c6,negated_conjecture,(?[X2]:(?[X3]:((set_difference(X2,singleton(X3))=empty_set&X2!=empty_set)&X2!=singleton(X3)))),inference(variable_rename,status(thm),[c5])).
% 0.46/0.61 fof(c7,negated_conjecture,((set_difference(skolem0001,singleton(skolem0002))=empty_set&skolem0001!=empty_set)&skolem0001!=singleton(skolem0002)),inference(skolemize,status(esa),[c6])).
% 0.46/0.61 cnf(c9,negated_conjecture,skolem0001!=empty_set,inference(split_conjunct,status(thm),[c7])).
% 0.46/0.61 cnf(c10,negated_conjecture,skolem0001!=singleton(skolem0002),inference(split_conjunct,status(thm),[c7])).
% 0.46/0.61 cnf(c8,negated_conjecture,set_difference(skolem0001,singleton(skolem0002))=empty_set,inference(split_conjunct,status(thm),[c7])).
% 0.46/0.61 fof(t37_xboole_1,axiom,(![A]:(![B]:(set_difference(A,B)=empty_set<=>subset(A,B)))),input).
% 0.46/0.61 fof(c11,axiom,(![A]:(![B]:((set_difference(A,B)!=empty_set|subset(A,B))&(~subset(A,B)|set_difference(A,B)=empty_set)))),inference(fof_nnf,status(thm),[t37_xboole_1])).
% 0.46/0.61 fof(c12,axiom,((![A]:(![B]:(set_difference(A,B)!=empty_set|subset(A,B))))&(![A]:(![B]:(~subset(A,B)|set_difference(A,B)=empty_set)))),inference(shift_quantors,status(thm),[c11])).
% 0.46/0.61 fof(c14,axiom,(![X4]:(![X5]:(![X6]:(![X7]:((set_difference(X4,X5)!=empty_set|subset(X4,X5))&(~subset(X6,X7)|set_difference(X6,X7)=empty_set)))))),inference(shift_quantors,status(thm),[fof(c13,axiom,((![X4]:(![X5]:(set_difference(X4,X5)!=empty_set|subset(X4,X5))))&(![X6]:(![X7]:(~subset(X6,X7)|set_difference(X6,X7)=empty_set)))),inference(variable_rename,status(thm),[c12])).])).
% 0.46/0.61 cnf(c15,axiom,set_difference(X38,X39)!=empty_set|subset(X38,X39),inference(split_conjunct,status(thm),[c14])).
% 0.46/0.61 cnf(c48,plain,subset(skolem0001,singleton(skolem0002)),inference(resolution,status(thm),[c15, c8])).
% 0.46/0.61 fof(l4_zfmisc_1,axiom,(![A]:(![B]:(subset(A,singleton(B))<=>(A=empty_set|A=singleton(B))))),input).
% 0.46/0.61 fof(c27,axiom,(![A]:(![B]:((~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))&((A!=empty_set&A!=singleton(B))|subset(A,singleton(B)))))),inference(fof_nnf,status(thm),[l4_zfmisc_1])).
% 0.46/0.61 fof(c28,axiom,((![A]:(![B]:(~subset(A,singleton(B))|(A=empty_set|A=singleton(B)))))&(![A]:(![B]:((A!=empty_set&A!=singleton(B))|subset(A,singleton(B)))))),inference(shift_quantors,status(thm),[c27])).
% 0.46/0.61 fof(c30,axiom,(![X11]:(![X12]:(![X13]:(![X14]:((~subset(X11,singleton(X12))|(X11=empty_set|X11=singleton(X12)))&((X13!=empty_set&X13!=singleton(X14))|subset(X13,singleton(X14)))))))),inference(shift_quantors,status(thm),[fof(c29,axiom,((![X11]:(![X12]:(~subset(X11,singleton(X12))|(X11=empty_set|X11=singleton(X12)))))&(![X13]:(![X14]:((X13!=empty_set&X13!=singleton(X14))|subset(X13,singleton(X14)))))),inference(variable_rename,status(thm),[c28])).])).
% 0.46/0.61 fof(c31,axiom,(![X11]:(![X12]:(![X13]:(![X14]:((~subset(X11,singleton(X12))|(X11=empty_set|X11=singleton(X12)))&((X13!=empty_set|subset(X13,singleton(X14)))&(X13!=singleton(X14)|subset(X13,singleton(X14))))))))),inference(distribute,status(thm),[c30])).
% 0.46/0.61 cnf(c32,axiom,~subset(X53,singleton(X54))|X53=empty_set|X53=singleton(X54),inference(split_conjunct,status(thm),[c31])).
% 0.46/0.61 cnf(c69,plain,skolem0001=empty_set|skolem0001=singleton(skolem0002),inference(resolution,status(thm),[c32, c48])).
% 0.46/0.61 cnf(c333,plain,skolem0001=empty_set,inference(resolution,status(thm),[c69, c10])).
% 0.46/0.61 cnf(c342,plain,$false,inference(resolution,status(thm),[c333, c9])).
% 0.46/0.61 # SZS output end CNFRefutation
% 0.46/0.61
% 0.46/0.61 # Initial clauses : 19
% 0.46/0.61 # Processed clauses : 70
% 0.46/0.61 # Factors computed : 0
% 0.46/0.61 # Resolvents computed: 320
% 0.46/0.61 # Tautologies deleted: 2
% 0.46/0.61 # Forward subsumed : 43
% 0.46/0.61 # Backward subsumed : 2
% 0.46/0.61 # -------- CPU Time ---------
% 0.46/0.61 # User time : 0.261 s
% 0.46/0.61 # System time : 0.016 s
% 0.46/0.61 # Total time : 0.277 s
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