TSTP Solution File: SET062+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET062+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 04:35:02 EDT 2022
% Result : Theorem 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET062+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n007.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 : 600
% 0.12/0.34 % DateTime : Sun Jul 10 13:10:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.47/0.65 # Version: 1.3
% 0.47/0.65 # SZS status Theorem
% 0.47/0.65 # SZS output start CNFRefutation
% 0.47/0.65 fof(null_class_is_subclass,conjecture,(![X]:subclass(null_class,X)),input).
% 0.47/0.65 fof(c26,negated_conjecture,(~(![X]:subclass(null_class,X))),inference(assume_negation,status(cth),[null_class_is_subclass])).
% 0.47/0.65 fof(c27,negated_conjecture,(?[X]:~subclass(null_class,X)),inference(fof_nnf,status(thm),[c26])).
% 0.47/0.65 fof(c28,negated_conjecture,(?[X2]:~subclass(null_class,X2)),inference(variable_rename,status(thm),[c27])).
% 0.47/0.65 fof(c29,negated_conjecture,~subclass(null_class,skolem0001),inference(skolemize,status(esa),[c28])).
% 0.47/0.65 cnf(c30,negated_conjecture,~subclass(null_class,skolem0001),inference(split_conjunct,status(thm),[c29])).
% 0.47/0.65 fof(null_class_defn,axiom,(![X]:(~member(X,null_class))),input).
% 0.47/0.65 fof(c177,axiom,(![X]:~member(X,null_class)),inference(fof_simplification,status(thm),[null_class_defn])).
% 0.47/0.65 fof(c178,axiom,(![X86]:~member(X86,null_class)),inference(variable_rename,status(thm),[c177])).
% 0.47/0.65 cnf(c179,axiom,~member(X140,null_class),inference(split_conjunct,status(thm),[c178])).
% 0.47/0.65 fof(subclass_defn,axiom,(![X]:(![Y]:(subclass(X,Y)<=>(![U]:(member(U,X)=>member(U,Y)))))),input).
% 0.47/0.65 fof(c249,axiom,(![X]:(![Y]:((~subclass(X,Y)|(![U]:(~member(U,X)|member(U,Y))))&((?[U]:(member(U,X)&~member(U,Y)))|subclass(X,Y))))),inference(fof_nnf,status(thm),[subclass_defn])).
% 0.47/0.65 fof(c250,axiom,((![X]:(![Y]:(~subclass(X,Y)|(![U]:(~member(U,X)|member(U,Y))))))&(![X]:(![Y]:((?[U]:(member(U,X)&~member(U,Y)))|subclass(X,Y))))),inference(shift_quantors,status(thm),[c249])).
% 0.47/0.65 fof(c251,axiom,((![X133]:(![X134]:(~subclass(X133,X134)|(![X135]:(~member(X135,X133)|member(X135,X134))))))&(![X136]:(![X137]:((?[X138]:(member(X138,X136)&~member(X138,X137)))|subclass(X136,X137))))),inference(variable_rename,status(thm),[c250])).
% 0.47/0.65 fof(c253,axiom,(![X133]:(![X134]:(![X135]:(![X136]:(![X137]:((~subclass(X133,X134)|(~member(X135,X133)|member(X135,X134)))&((member(skolem0008(X136,X137),X136)&~member(skolem0008(X136,X137),X137))|subclass(X136,X137)))))))),inference(shift_quantors,status(thm),[fof(c252,axiom,((![X133]:(![X134]:(~subclass(X133,X134)|(![X135]:(~member(X135,X133)|member(X135,X134))))))&(![X136]:(![X137]:((member(skolem0008(X136,X137),X136)&~member(skolem0008(X136,X137),X137))|subclass(X136,X137))))),inference(skolemize,status(esa),[c251])).])).
% 0.47/0.65 fof(c254,axiom,(![X133]:(![X134]:(![X135]:(![X136]:(![X137]:((~subclass(X133,X134)|(~member(X135,X133)|member(X135,X134)))&((member(skolem0008(X136,X137),X136)|subclass(X136,X137))&(~member(skolem0008(X136,X137),X137)|subclass(X136,X137))))))))),inference(distribute,status(thm),[c253])).
% 0.47/0.65 cnf(c256,axiom,member(skolem0008(X257,X256),X257)|subclass(X257,X256),inference(split_conjunct,status(thm),[c254])).
% 0.47/0.65 cnf(c442,plain,subclass(null_class,X258),inference(resolution,status(thm),[c256, c179])).
% 0.47/0.65 cnf(c452,plain,$false,inference(resolution,status(thm),[c442, c30])).
% 0.47/0.65 # SZS output end CNFRefutation
% 0.47/0.65
% 0.47/0.65 # Initial clauses : 119
% 0.47/0.65 # Processed clauses : 64
% 0.47/0.65 # Factors computed : 0
% 0.47/0.65 # Resolvents computed: 195
% 0.47/0.65 # Tautologies deleted: 3
% 0.47/0.65 # Forward subsumed : 15
% 0.47/0.65 # Backward subsumed : 1
% 0.47/0.65 # -------- CPU Time ---------
% 0.47/0.65 # User time : 0.292 s
% 0.47/0.65 # System time : 0.014 s
% 0.47/0.65 # Total time : 0.306 s
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