TSTP Solution File: SET065+1 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET065+1 : TPTP v8.1.2. 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 : 300s
% DateTime : Thu May 9 17:39:04 EDT 2024
% Result : Theorem 0.75s 1.00s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SET065+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.09/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 19:20:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.75/1.00 % Version: 1.5
% 0.75/1.00 % SZS status Theorem
% 0.75/1.00 % SZS output start CNFRefutation
% 0.75/1.00 fof(null_class_is_a_set,conjecture,member(null_class,universal_class),file('/export/starexec/sandbox/benchmark/theBenchmark.p', null_class_is_a_set)).
% 0.75/1.00 fof(c26,negated_conjecture,(~member(null_class,universal_class)),inference(assume_negation,[status(cth)],[null_class_is_a_set])).
% 0.75/1.00 fof(c27,negated_conjecture,~member(null_class,universal_class),inference(fof_simplification,[status(thm)],[c26])).
% 0.75/1.00 cnf(c28,negated_conjecture,~member(null_class,universal_class),inference(split_conjunct,[status(thm)],[c27])).
% 0.75/1.00 fof(class_elements_are_sets,axiom,(![X]:subclass(X,universal_class)),file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', class_elements_are_sets)).
% 0.75/1.00 fof(c245,plain,(![X131]:subclass(X131,universal_class)),inference(variable_rename,[status(thm)],[class_elements_are_sets])).
% 0.75/1.00 cnf(c246,plain,subclass(X140,universal_class),inference(split_conjunct,[status(thm)],[c245])).
% 0.75/1.00 fof(infinity,axiom,(?[X]:((member(X,universal_class)&inductive(X))&(![Y]:(inductive(Y)=>subclass(X,Y))))),file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', infinity)).
% 0.75/1.00 fof(c106,plain,(?[X]:((member(X,universal_class)&inductive(X))&(![Y]:(~inductive(Y)|subclass(X,Y))))),inference(fof_nnf,[status(thm)],[infinity])).
% 0.75/1.00 fof(c107,plain,(?[X44]:((member(X44,universal_class)&inductive(X44))&(![X45]:(~inductive(X45)|subclass(X44,X45))))),inference(variable_rename,[status(thm)],[c106])).
% 0.75/1.00 fof(c109,plain,(![X45]:((member(skolem0006,universal_class)&inductive(skolem0006))&(~inductive(X45)|subclass(skolem0006,X45)))),inference(shift_quantors,[status(thm)],[fof(c108,plain,((member(skolem0006,universal_class)&inductive(skolem0006))&(![X45]:(~inductive(X45)|subclass(skolem0006,X45)))),inference(skolemize,[status(esa)],[c107])).])).
% 0.75/1.00 cnf(c111,plain,inductive(skolem0006),inference(split_conjunct,[status(thm)],[c109])).
% 0.75/1.00 fof(inductive_defn,axiom,(![X]:(inductive(X)<=>(member(null_class,X)&subclass(image(successor_relation,X),X)))),file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', inductive_defn)).
% 0.75/1.00 fof(c113,plain,(![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])).
% 0.75/1.00 fof(c114,plain,((![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])).
% 0.75/1.00 fof(c116,plain,(![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,plain,((![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])).])).
% 0.75/1.00 fof(c117,plain,(![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])).
% 0.75/1.00 cnf(c118,plain,~inductive(X148)|member(null_class,X148),inference(split_conjunct,[status(thm)],[c117])).
% 0.75/1.00 cnf(c260,plain,member(null_class,skolem0006),inference(resolution,[status(thm)],[c118, c111])).
% 0.75/1.00 fof(subclass_defn,axiom,(![X]:(![Y]:(subclass(X,Y)<=>(![U]:(member(U,X)=>member(U,Y)))))),file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax', subclass_defn)).
% 0.75/1.00 fof(c247,plain,(![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])).
% 0.75/1.00 fof(c248,plain,((![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])).
% 0.75/1.00 fof(c249,plain,((![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])).
% 0.75/1.00 fof(c251,plain,(![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,plain,((![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])).])).
% 0.75/1.00 fof(c252,plain,(![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])).
% 0.75/1.00 cnf(c253,plain,~subclass(X467,X466)|~member(X465,X467)|member(X465,X466),inference(split_conjunct,[status(thm)],[c252])).
% 0.75/1.00 cnf(c1329,plain,~subclass(skolem0006,X471)|member(null_class,X471),inference(resolution,[status(thm)],[c253, c260])).
% 0.75/1.00 cnf(c1342,plain,member(null_class,universal_class),inference(resolution,[status(thm)],[c1329, c246])).
% 0.75/1.00 cnf(c1348,plain,$false,inference(resolution,[status(thm)],[c1342, c28])).
% 0.75/1.00 % SZS output end CNFRefutation
% 0.75/1.00
% 0.75/1.00 % Initial clauses : 119
% 0.75/1.00 % Processed clauses : 166
% 0.75/1.00 % Factors computed : 14
% 0.75/1.00 % Resolvents computed: 1087
% 0.75/1.00 % Tautologies deleted: 4
% 0.75/1.00 % Forward subsumed : 103
% 0.75/1.00 % Backward subsumed : 1
% 0.75/1.00 % -------- CPU Time ---------
% 0.75/1.00 % User time : 0.608 s
% 0.75/1.00 % System time : 0.017 s
% 0.75/1.00 % Total time : 0.625 s
%------------------------------------------------------------------------------