%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET583+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 : 300s
% DateTime : Thu May 9 17:39:45 EDT 2024
% Result : Theorem 0.38s 0.55s
% Output : Refutation 0.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET583+3 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed May 8 18:16:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.38/0.55 % Version: 1.5
% 0.38/0.55 % SZS status Theorem
% 0.38/0.55 % SZS output start CNFRefutation
% 0.38/0.55 fof(prove_extensionality,conjecture,(![B]:(![C]:((subset(B,C)&subset(C,B))=>B=C))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', prove_extensionality)).
% 0.38/0.55 fof(c2,negated_conjecture,(~(![B]:(![C]:((subset(B,C)&subset(C,B))=>B=C)))),inference(assume_negation,[status(cth)],[prove_extensionality])).
% 0.38/0.55 fof(c3,negated_conjecture,(?[B]:(?[C]:((subset(B,C)&subset(C,B))&B!=C))),inference(fof_nnf,[status(thm)],[c2])).
% 0.38/0.55 fof(c4,negated_conjecture,(?[X2]:(?[X3]:((subset(X2,X3)&subset(X3,X2))&X2!=X3))),inference(variable_rename,[status(thm)],[c3])).
% 0.38/0.55 fof(c5,negated_conjecture,((subset(skolem0001,skolem0002)&subset(skolem0002,skolem0001))&skolem0001!=skolem0002),inference(skolemize,[status(esa)],[c4])).
% 0.38/0.55 cnf(c8,negated_conjecture,skolem0001!=skolem0002,inference(split_conjunct,[status(thm)],[c5])).
% 0.38/0.55 cnf(symmetry,axiom,X18!=X17|X17=X18,theory(equality)).
% 0.38/0.55 cnf(c7,negated_conjecture,subset(skolem0002,skolem0001),inference(split_conjunct,[status(thm)],[c5])).
% 0.38/0.55 cnf(c6,negated_conjecture,subset(skolem0001,skolem0002),inference(split_conjunct,[status(thm)],[c5])).
% 0.38/0.55 fof(equal_defn,axiom,(![B]:(![C]:(B=C<=>(subset(B,C)&subset(C,B))))),file('/export/starexec/sandbox/benchmark/theBenchmark.p', equal_defn)).
% 0.38/0.55 fof(c20,plain,(![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])).
% 0.38/0.55 fof(c21,plain,((![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])).
% 0.38/0.55 fof(c23,plain,(![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,plain,((![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])).])).
% 0.38/0.55 fof(c24,plain,(![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])).
% 0.38/0.55 cnf(c27,plain,~subset(X45,X44)|~subset(X44,X45)|X45=X44,inference(split_conjunct,[status(thm)],[c24])).
% 0.38/0.55 cnf(c40,plain,~subset(skolem0002,skolem0001)|skolem0002=skolem0001,inference(resolution,[status(thm)],[c27, c6])).
% 0.38/0.55 cnf(c47,plain,skolem0002=skolem0001,inference(resolution,[status(thm)],[c40, c7])).
% 0.38/0.55 cnf(c52,plain,skolem0001=skolem0002,inference(resolution,[status(thm)],[c47, symmetry])).
% 0.38/0.55 cnf(c56,plain,$false,inference(resolution,[status(thm)],[c52, c8])).
% 0.38/0.55 % SZS output end CNFRefutation
% 0.38/0.55
% 0.38/0.55 % Initial clauses : 15
% 0.38/0.55 % Processed clauses : 20
% 0.38/0.55 % Factors computed : 3
% 0.38/0.55 % Resolvents computed: 31
% 0.38/0.55 % Tautologies deleted: 2
% 0.38/0.55 % Forward subsumed : 10
% 0.38/0.55 % Backward subsumed : 1
% 0.38/0.55 % -------- CPU Time ---------
% 0.38/0.55 % User time : 0.178 s
% 0.38/0.55 % System time : 0.010 s
% 0.38/0.55 % Total time : 0.188 s
%------------------------------------------------------------------------------