TSTP Solution File: SET063+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET063+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 04:35:05 EDT 2022
% Result : Theorem 0.59s 0.85s
% Output : Refutation 0.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET063+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 9 19:23:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.59/0.85 # Version: 1.3
% 0.59/0.85 # SZS status Theorem
% 0.59/0.85 # SZS output start CNFRefutation
% 0.59/0.85 fof(corollary_of_null_class_is_subclass,conjecture,(![X]:(subclass(X,null_class)=>X=null_class)),input).
% 0.59/0.85 fof(c26,negated_conjecture,(~(![X]:(subclass(X,null_class)=>X=null_class))),inference(assume_negation,status(cth),[corollary_of_null_class_is_subclass])).
% 0.59/0.85 fof(c27,negated_conjecture,(?[X]:(subclass(X,null_class)&X!=null_class)),inference(fof_nnf,status(thm),[c26])).
% 0.59/0.85 fof(c28,negated_conjecture,(?[X2]:(subclass(X2,null_class)&X2!=null_class)),inference(variable_rename,status(thm),[c27])).
% 0.59/0.85 fof(c29,negated_conjecture,(subclass(skolem0001,null_class)&skolem0001!=null_class),inference(skolemize,status(esa),[c28])).
% 0.59/0.85 cnf(c31,negated_conjecture,skolem0001!=null_class,inference(split_conjunct,status(thm),[c29])).
% 0.59/0.85 cnf(c30,negated_conjecture,subclass(skolem0001,null_class),inference(split_conjunct,status(thm),[c29])).
% 0.59/0.85 fof(null_class_defn,axiom,(![X]:(~member(X,null_class))),input).
% 0.59/0.85 fof(c178,axiom,(![X]:~member(X,null_class)),inference(fof_simplification,status(thm),[null_class_defn])).
% 0.59/0.85 fof(c179,axiom,(![X86]:~member(X86,null_class)),inference(variable_rename,status(thm),[c178])).
% 0.59/0.85 cnf(c180,axiom,~member(X140,null_class),inference(split_conjunct,status(thm),[c179])).
% 0.59/0.85 fof(subclass_defn,axiom,(![X]:(![Y]:(subclass(X,Y)<=>(![U]:(member(U,X)=>member(U,Y)))))),input).
% 0.59/0.85 fof(c250,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])).
% 0.59/0.85 fof(c251,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),[c250])).
% 0.59/0.85 fof(c252,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),[c251])).
% 0.59/0.85 fof(c254,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(c253,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),[c252])).])).
% 0.59/0.85 fof(c255,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),[c254])).
% 0.59/0.85 cnf(c257,axiom,member(skolem0008(X260,X259),X260)|subclass(X260,X259),inference(split_conjunct,status(thm),[c255])).
% 0.59/0.85 cnf(c463,plain,subclass(null_class,X261),inference(resolution,status(thm),[c257, c180])).
% 0.59/0.85 fof(extensionality,axiom,(![X]:(![Y]:(X=Y<=>(subclass(X,Y)&subclass(Y,X))))),input).
% 0.59/0.85 fof(c240,axiom,(![X]:(![Y]:((X!=Y|(subclass(X,Y)&subclass(Y,X)))&((~subclass(X,Y)|~subclass(Y,X))|X=Y)))),inference(fof_nnf,status(thm),[extensionality])).
% 0.59/0.85 fof(c241,axiom,((![X]:(![Y]:(X!=Y|(subclass(X,Y)&subclass(Y,X)))))&(![X]:(![Y]:((~subclass(X,Y)|~subclass(Y,X))|X=Y)))),inference(shift_quantors,status(thm),[c240])).
% 0.59/0.85 fof(c243,axiom,(![X128]:(![X129]:(![X130]:(![X131]:((X128!=X129|(subclass(X128,X129)&subclass(X129,X128)))&((~subclass(X130,X131)|~subclass(X131,X130))|X130=X131)))))),inference(shift_quantors,status(thm),[fof(c242,axiom,((![X128]:(![X129]:(X128!=X129|(subclass(X128,X129)&subclass(X129,X128)))))&(![X130]:(![X131]:((~subclass(X130,X131)|~subclass(X131,X130))|X130=X131)))),inference(variable_rename,status(thm),[c241])).])).
% 0.59/0.85 fof(c244,axiom,(![X128]:(![X129]:(![X130]:(![X131]:(((X128!=X129|subclass(X128,X129))&(X128!=X129|subclass(X129,X128)))&((~subclass(X130,X131)|~subclass(X131,X130))|X130=X131)))))),inference(distribute,status(thm),[c243])).
% 0.59/0.85 cnf(c247,axiom,~subclass(X375,X374)|~subclass(X374,X375)|X375=X374,inference(split_conjunct,status(thm),[c244])).
% 0.59/0.85 cnf(c966,plain,~subclass(X379,null_class)|X379=null_class,inference(resolution,status(thm),[c247, c463])).
% 0.59/0.85 cnf(c987,plain,skolem0001=null_class,inference(resolution,status(thm),[c966, c30])).
% 0.59/0.85 cnf(c1007,plain,$false,inference(resolution,status(thm),[c987, c31])).
% 0.59/0.85 # SZS output end CNFRefutation
% 0.59/0.85
% 0.59/0.85 # Initial clauses : 120
% 0.59/0.85 # Processed clauses : 142
% 0.59/0.85 # Factors computed : 0
% 0.59/0.85 # Resolvents computed: 758
% 0.59/0.85 # Tautologies deleted: 3
% 0.59/0.85 # Forward subsumed : 42
% 0.59/0.85 # Backward subsumed : 1
% 0.59/0.85 # -------- CPU Time ---------
% 0.59/0.85 # User time : 0.463 s
% 0.59/0.85 # System time : 0.014 s
% 0.59/0.85 # Total time : 0.477 s
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