TSTP Solution File: SET063+3 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET063+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n012.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 04:35:05 EDT 2022
% Result : Theorem 0.37s 0.53s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET063+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 21:45:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/0.53 # Version: 1.3
% 0.37/0.53 # SZS status Theorem
% 0.37/0.53 # SZS output start CNFRefutation
% 0.37/0.53 fof(prove_subset_of_empty_set_is_empty_set,conjecture,(![B]:(subset(B,empty_set)=>B=empty_set)),input).
% 0.37/0.53 fof(c3,negated_conjecture,(~(![B]:(subset(B,empty_set)=>B=empty_set))),inference(assume_negation,status(cth),[prove_subset_of_empty_set_is_empty_set])).
% 0.37/0.53 fof(c4,negated_conjecture,(?[B]:(subset(B,empty_set)&B!=empty_set)),inference(fof_nnf,status(thm),[c3])).
% 0.37/0.53 fof(c5,negated_conjecture,(?[X2]:(subset(X2,empty_set)&X2!=empty_set)),inference(variable_rename,status(thm),[c4])).
% 0.37/0.53 fof(c6,negated_conjecture,(subset(skolem0001,empty_set)&skolem0001!=empty_set),inference(skolemize,status(esa),[c5])).
% 0.37/0.53 cnf(c8,negated_conjecture,skolem0001!=empty_set,inference(split_conjunct,status(thm),[c6])).
% 0.37/0.53 cnf(c7,negated_conjecture,subset(skolem0001,empty_set),inference(split_conjunct,status(thm),[c6])).
% 0.37/0.53 fof(empty_set_subset,axiom,(![B]:subset(empty_set,B)),input).
% 0.37/0.53 fof(c39,axiom,(![X19]:subset(empty_set,X19)),inference(variable_rename,status(thm),[empty_set_subset])).
% 0.37/0.53 cnf(c40,axiom,subset(empty_set,X23),inference(split_conjunct,status(thm),[c39])).
% 0.37/0.53 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),input).
% 0.37/0.53 fof(c19,axiom,(![B]:(![C]:((B!=C|(subset(B,C)&subset(C,B)))&((~subset(B,C)|~subset(C,B))|B=C)))),inference(fof_nnf,status(thm),[equal_defn])).
% 0.37/0.53 fof(c20,axiom,((![B]:(![C]:(B!=C|(subset(B,C)&subset(C,B)))))&(![B]:(![C]:((~subset(B,C)|~subset(C,B))|B=C)))),inference(shift_quantors,status(thm),[c19])).
% 0.37/0.53 fof(c22,axiom,(![X8]:(![X9]:(![X10]:(![X11]:((X8!=X9|(subset(X8,X9)&subset(X9,X8)))&((~subset(X10,X11)|~subset(X11,X10))|X10=X11)))))),inference(shift_quantors,status(thm),[fof(c21,axiom,((![X8]:(![X9]:(X8!=X9|(subset(X8,X9)&subset(X9,X8)))))&(![X10]:(![X11]:((~subset(X10,X11)|~subset(X11,X10))|X10=X11)))),inference(variable_rename,status(thm),[c20])).])).
% 0.37/0.53 fof(c23,axiom,(![X8]:(![X9]:(![X10]:(![X11]:(((X8!=X9|subset(X8,X9))&(X8!=X9|subset(X9,X8)))&((~subset(X10,X11)|~subset(X11,X10))|X10=X11)))))),inference(distribute,status(thm),[c22])).
% 0.37/0.53 cnf(c26,axiom,~subset(X65,X64)|~subset(X64,X65)|X65=X64,inference(split_conjunct,status(thm),[c23])).
% 0.37/0.53 cnf(c62,plain,~subset(X67,empty_set)|X67=empty_set,inference(resolution,status(thm),[c26, c40])).
% 0.37/0.53 cnf(c68,plain,skolem0001=empty_set,inference(resolution,status(thm),[c62, c7])).
% 0.37/0.53 cnf(c77,plain,$false,inference(resolution,status(thm),[c68, c8])).
% 0.37/0.53 # SZS output end CNFRefutation
% 0.37/0.53
% 0.37/0.53 # Initial clauses : 19
% 0.37/0.53 # Processed clauses : 22
% 0.37/0.53 # Factors computed : 0
% 0.37/0.53 # Resolvents computed: 37
% 0.37/0.53 # Tautologies deleted: 3
% 0.37/0.53 # Forward subsumed : 9
% 0.37/0.53 # Backward subsumed : 0
% 0.37/0.53 # -------- CPU Time ---------
% 0.37/0.53 # User time : 0.178 s
% 0.37/0.53 # System time : 0.015 s
% 0.37/0.53 # Total time : 0.193 s
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