TSTP Solution File: SET583+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET583+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 04:38:40 EDT 2022
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET583+3 : TPTP v8.1.0. Released v2.2.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 16:36:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.52 # Version: 1.3
% 0.21/0.52 # SZS status Theorem
% 0.21/0.52 # SZS output start CNFRefutation
% 0.21/0.52 fof(prove_extensionality,conjecture,(![B]:(![C]:((subset(B,C)&subset(C,B))=>B=C))),input).
% 0.21/0.52 fof(c2,negated_conjecture,(~(![B]:(![C]:((subset(B,C)&subset(C,B))=>B=C)))),inference(assume_negation,status(cth),[prove_extensionality])).
% 0.21/0.52 fof(c3,negated_conjecture,(?[B]:(?[C]:((subset(B,C)&subset(C,B))&B!=C))),inference(fof_nnf,status(thm),[c2])).
% 0.21/0.52 fof(c4,negated_conjecture,(?[X2]:(?[X3]:((subset(X2,X3)&subset(X3,X2))&X2!=X3))),inference(variable_rename,status(thm),[c3])).
% 0.21/0.52 fof(c5,negated_conjecture,((subset(skolem0001,skolem0002)&subset(skolem0002,skolem0001))&skolem0001!=skolem0002),inference(skolemize,status(esa),[c4])).
% 0.21/0.52 cnf(c8,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,status(thm),[c5])).
% 0.21/0.52 cnf(symmetry,axiom,X17!=X18|X18=X17,eq_axiom).
% 0.21/0.52 cnf(c7,negated_conjecture,subset(skolem0002,skolem0001),inference(split_conjunct,status(thm),[c5])).
% 0.21/0.52 cnf(c6,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c5])).
% 0.21/0.52 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),input).
% 0.21/0.52 fof(c20,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])).
% 0.21/0.52 fof(c21,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),[c20])).
% 0.21/0.52 fof(c23,axiom,(![X11]:(![X12]:(![X13]:(![X14]:((X11!=X12|(subset(X11,X12)&subset(X12,X11)))&((~subset(X13,X14)|~subset(X14,X13))|X13=X14)))))),inference(shift_quantors,status(thm),[fof(c22,axiom,((![X11]:(![X12]:(X11!=X12|(subset(X11,X12)&subset(X12,X11)))))&(![X13]:(![X14]:((~subset(X13,X14)|~subset(X14,X13))|X13=X14)))),inference(variable_rename,status(thm),[c21])).])).
% 0.21/0.52 fof(c24,axiom,(![X11]:(![X12]:(![X13]:(![X14]:(((X11!=X12|subset(X11,X12))&(X11!=X12|subset(X12,X11)))&((~subset(X13,X14)|~subset(X14,X13))|X13=X14)))))),inference(distribute,status(thm),[c23])).
% 0.21/0.52 cnf(c27,axiom,~subset(X43,X44)|~subset(X44,X43)|X43=X44,inference(split_conjunct,status(thm),[c24])).
% 0.21/0.52 cnf(c40,plain,~subset(skolem0002,skolem0001)|skolem0002=skolem0001,inference(resolution,status(thm),[c27, c6])).
% 0.21/0.52 cnf(c44,plain,skolem0002=skolem0001,inference(resolution,status(thm),[c40, c7])).
% 0.21/0.52 cnf(c46,plain,skolem0001=skolem0002,inference(resolution,status(thm),[c44, symmetry])).
% 0.21/0.52 cnf(c51,plain,$false,inference(resolution,status(thm),[c46, c8])).
% 0.21/0.52 # SZS output end CNFRefutation
% 0.21/0.52
% 0.21/0.52 # Initial clauses : 15
% 0.21/0.52 # Processed clauses : 19
% 0.21/0.52 # Factors computed : 0
% 0.21/0.52 # Resolvents computed: 29
% 0.21/0.52 # Tautologies deleted: 1
% 0.21/0.52 # Forward subsumed : 6
% 0.21/0.52 # Backward subsumed : 1
% 0.21/0.52 # -------- CPU Time ---------
% 0.21/0.52 # User time : 0.162 s
% 0.21/0.52 # System time : 0.016 s
% 0.21/0.52 # Total time : 0.178 s
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