%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET065-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n023.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   : Unsatisfiable 0.43s 0.60s
% Output   : Refutation 0.43s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_null_class_is_a_set_1,negated_conjecture,
    ~ member(null_class,universal_class),
    input ).

cnf(class_elements_are_sets,axiom,
    subclass(X3,universal_class),
    input ).

cnf(subclass_members,axiom,
    ( ~ subclass(X4,X6)
    | ~ member(X5,X4)
    | member(X5,X6) ),
    input ).

cnf(omega_is_inductive1,axiom,
    inductive(omega),
    input ).

cnf(inductive1,axiom,
    ( ~ inductive(X19)
    | member(null_class,X19) ),
    input ).

cnf(c44,plain,
    member(null_class,omega),
    inference(resolution,status(thm),[inductive1,omega_is_inductive1]) ).

cnf(c45,plain,
    ( ~ subclass(omega,X88)
    | member(null_class,X88) ),
    inference(resolution,status(thm),[c44,subclass_members]) ).

cnf(c110,plain,
    member(null_class,universal_class),
    inference(resolution,status(thm),[c45,class_elements_are_sets]) ).

cnf(c111,plain,
    $false,
    inference(resolution,status(thm),[c110,prove_null_class_is_a_set_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem  : SET065-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.11  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.32  % Computer : n023.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun Jul 10 22:20:40 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.43/0.60  # Version:  1.3
% 0.43/0.60  # SZS status Unsatisfiable
% 0.43/0.60  # SZS output start CNFRefutation
% See solution above
% 0.43/0.60  
% 0.43/0.60  # Initial clauses    : 134
% 0.43/0.60  # Processed clauses  : 50
% 0.43/0.60  # Factors computed   : 0
% 0.43/0.60  # Resolvents computed: 83
% 0.43/0.60  # Tautologies deleted: 5
% 0.43/0.60  # Forward subsumed   : 11
% 0.43/0.60  # Backward subsumed  : 0
% 0.43/0.60  # -------- CPU Time ---------
% 0.43/0.60  # User time          : 0.263 s
% 0.43/0.60  # System time        : 0.016 s
% 0.43/0.60  # Total time         : 0.279 s
%------------------------------------------------------------------------------