TSTP Solution File: SET065+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n029.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 04:35:09 EDT 2022
% Result : Theorem 0.62s 0.80s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SET065+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 00:10:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.62/0.80 # Version: 1.3
% 0.62/0.80 # SZS status Theorem
% 0.62/0.80 # SZS output start CNFRefutation
% 0.62/0.80 fof(null_class_is_a_set,conjecture,member(null_class,universal_class),input).
% 0.62/0.80 fof(c26,negated_conjecture,(~member(null_class,universal_class)),inference(assume_negation,status(cth),[null_class_is_a_set])).
% 0.62/0.80 fof(c27,negated_conjecture,~member(null_class,universal_class),inference(fof_simplification,status(thm),[c26])).
% 0.62/0.80 cnf(c28,negated_conjecture,~member(null_class,universal_class),inference(split_conjunct,status(thm),[c27])).
% 0.62/0.80 fof(class_elements_are_sets,axiom,(![X]:subclass(X,universal_class)),input).
% 0.62/0.80 fof(c245,axiom,(![X131]:subclass(X131,universal_class)),inference(variable_rename,status(thm),[class_elements_are_sets])).
% 0.62/0.80 cnf(c246,axiom,subclass(X140,universal_class),inference(split_conjunct,status(thm),[c245])).
% 0.62/0.80 fof(infinity,axiom,(?[X]:((member(X,universal_class)&inductive(X))&(![Y]:(inductive(Y)=>subclass(X,Y))))),input).
% 0.62/0.80 fof(c106,axiom,(?[X]:((member(X,universal_class)&inductive(X))&(![Y]:(~inductive(Y)|subclass(X,Y))))),inference(fof_nnf,status(thm),[infinity])).
% 0.62/0.80 fof(c107,axiom,(?[X44]:((member(X44,universal_class)&inductive(X44))&(![X45]:(~inductive(X45)|subclass(X44,X45))))),inference(variable_rename,status(thm),[c106])).
% 0.62/0.80 fof(c109,axiom,(![X45]:((member(skolem0006,universal_class)&inductive(skolem0006))&(~inductive(X45)|subclass(skolem0006,X45)))),inference(shift_quantors,status(thm),[fof(c108,axiom,((member(skolem0006,universal_class)&inductive(skolem0006))&(![X45]:(~inductive(X45)|subclass(skolem0006,X45)))),inference(skolemize,status(esa),[c107])).])).
% 0.62/0.80 cnf(c111,axiom,inductive(skolem0006),inference(split_conjunct,status(thm),[c109])).
% 0.62/0.80 fof(inductive_defn,axiom,(![X]:(inductive(X)<=>(member(null_class,X)&subclass(image(successor_relation,X),X)))),input).
% 0.62/0.80 fof(c113,axiom,(![X]:((~inductive(X)|(member(null_class,X)&subclass(image(successor_relation,X),X)))&((~member(null_class,X)|~subclass(image(successor_relation,X),X))|inductive(X)))),inference(fof_nnf,status(thm),[inductive_defn])).
% 0.62/0.80 fof(c114,axiom,((![X]:(~inductive(X)|(member(null_class,X)&subclass(image(successor_relation,X),X))))&(![X]:((~member(null_class,X)|~subclass(image(successor_relation,X),X))|inductive(X)))),inference(shift_quantors,status(thm),[c113])).
% 0.62/0.80 fof(c116,axiom,(![X46]:(![X47]:((~inductive(X46)|(member(null_class,X46)&subclass(image(successor_relation,X46),X46)))&((~member(null_class,X47)|~subclass(image(successor_relation,X47),X47))|inductive(X47))))),inference(shift_quantors,status(thm),[fof(c115,axiom,((![X46]:(~inductive(X46)|(member(null_class,X46)&subclass(image(successor_relation,X46),X46))))&(![X47]:((~member(null_class,X47)|~subclass(image(successor_relation,X47),X47))|inductive(X47)))),inference(variable_rename,status(thm),[c114])).])).
% 0.62/0.80 fof(c117,axiom,(![X46]:(![X47]:(((~inductive(X46)|member(null_class,X46))&(~inductive(X46)|subclass(image(successor_relation,X46),X46)))&((~member(null_class,X47)|~subclass(image(successor_relation,X47),X47))|inductive(X47))))),inference(distribute,status(thm),[c116])).
% 0.62/0.80 cnf(c118,axiom,~inductive(X148)|member(null_class,X148),inference(split_conjunct,status(thm),[c117])).
% 0.62/0.80 cnf(c259,plain,member(null_class,skolem0006),inference(resolution,status(thm),[c118, c111])).
% 0.62/0.80 fof(subclass_defn,axiom,(![X]:(![Y]:(subclass(X,Y)<=>(![U]:(member(U,X)=>member(U,Y)))))),input).
% 0.62/0.80 fof(c247,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])).
% 0.62/0.80 fof(c248,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),[c247])).
% 0.62/0.80 fof(c249,axiom,((![X132]:(![X133]:(~subclass(X132,X133)|(![X134]:(~member(X134,X132)|member(X134,X133))))))&(![X135]:(![X136]:((?[X137]:(member(X137,X135)&~member(X137,X136)))|subclass(X135,X136))))),inference(variable_rename,status(thm),[c248])).
% 0.62/0.80 fof(c251,axiom,(![X132]:(![X133]:(![X134]:(![X135]:(![X136]:((~subclass(X132,X133)|(~member(X134,X132)|member(X134,X133)))&((member(skolem0007(X135,X136),X135)&~member(skolem0007(X135,X136),X136))|subclass(X135,X136)))))))),inference(shift_quantors,status(thm),[fof(c250,axiom,((![X132]:(![X133]:(~subclass(X132,X133)|(![X134]:(~member(X134,X132)|member(X134,X133))))))&(![X135]:(![X136]:((member(skolem0007(X135,X136),X135)&~member(skolem0007(X135,X136),X136))|subclass(X135,X136))))),inference(skolemize,status(esa),[c249])).])).
% 0.62/0.80 fof(c252,axiom,(![X132]:(![X133]:(![X134]:(![X135]:(![X136]:((~subclass(X132,X133)|(~member(X134,X132)|member(X134,X133)))&((member(skolem0007(X135,X136),X135)|subclass(X135,X136))&(~member(skolem0007(X135,X136),X136)|subclass(X135,X136))))))))),inference(distribute,status(thm),[c251])).
% 0.62/0.80 cnf(c253,axiom,~subclass(X377,X379)|~member(X378,X377)|member(X378,X379),inference(split_conjunct,status(thm),[c252])).
% 0.62/0.80 cnf(c934,plain,~subclass(skolem0006,X380)|member(null_class,X380),inference(resolution,status(thm),[c253, c259])).
% 0.62/0.80 cnf(c966,plain,member(null_class,universal_class),inference(resolution,status(thm),[c934, c246])).
% 0.62/0.80 cnf(c974,plain,$false,inference(resolution,status(thm),[c966, c28])).
% 0.62/0.80 # SZS output end CNFRefutation
% 0.62/0.80
% 0.62/0.80 # Initial clauses : 119
% 0.62/0.80 # Processed clauses : 134
% 0.62/0.80 # Factors computed : 0
% 0.62/0.80 # Resolvents computed: 725
% 0.62/0.80 # Tautologies deleted: 3
% 0.62/0.80 # Forward subsumed : 44
% 0.62/0.80 # Backward subsumed : 1
% 0.62/0.80 # -------- CPU Time ---------
% 0.62/0.80 # User time : 0.441 s
% 0.62/0.80 # System time : 0.015 s
% 0.62/0.80 # Total time : 0.456 s
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