%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET093-7 : 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 04:35:35 EDT 2022

% Result   : Unsatisfiable 45.01s 45.24s
% Output   : Refutation 45.01s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(existence_of_null_class,axiom,
    ~ member(X8,null_class),
    input ).

cnf(subclass_members,axiom,
    ( ~ subclass(X5,X7)
    | ~ member(X6,X5)
    | member(X6,X7) ),
    input ).

cnf(singletons_are_sets,axiom,
    member(singleton(X15),universal_class),
    input ).

cnf(set_in_its_singleton,axiom,
    ( ~ member(X170,universal_class)
    | member(X170,singleton(X170)) ),
    input ).

cnf(c297,plain,
    member(singleton(X173),singleton(singleton(X173))),
    inference(resolution,status(thm),[set_in_its_singleton,singletons_are_sets]) ).

cnf(c306,plain,
    ( ~ subclass(singleton(singleton(X1579)),X1578)
    | member(singleton(X1579),X1578) ),
    inference(resolution,status(thm),[c297,subclass_members]) ).

cnf(prove_corollary_2_to_singletons_are_sets_2,negated_conjecture,
    ~ member(x,universal_class),
    input ).

cnf(singleton_is_null_class,axiom,
    ( member(X285,universal_class)
    | singleton(X285) = null_class ),
    input ).

cnf(c727,plain,
    singleton(x) = null_class,
    inference(resolution,status(thm),[singleton_is_null_class,prove_corollary_2_to_singletons_are_sets_2]) ).

cnf(subclass_is_reflexive,axiom,
    subclass(X2,X2),
    input ).

cnf(c32,plain,
    ( X668 != X667
    | X665 != X666
    | ~ subclass(X668,X665)
    | subclass(X667,X666) ),
    eq_axiom ).

cnf(c5518,plain,
    ( X811 != X809
    | X811 != X810
    | subclass(X809,X810) ),
    inference(resolution,status(thm),[c32,subclass_is_reflexive]) ).

cnf(c7909,plain,
    ( singleton(x) != X1563
    | subclass(X1563,null_class) ),
    inference(resolution,status(thm),[c5518,c727]) ).

cnf(symmetry,axiom,
    ( X44 != X45
    | X45 = X44 ),
    eq_axiom ).

cnf(prove_corollary_2_to_singletons_are_sets_1,negated_conjecture,
    singleton(member_of(x)) = x,
    input ).

cnf(c118,plain,
    x = singleton(member_of(x)),
    inference(resolution,status(thm),[prove_corollary_2_to_singletons_are_sets_1,symmetry]) ).

cnf(c2,plain,
    ( X324 != X323
    | singleton(X324) = singleton(X323) ),
    eq_axiom ).

cnf(c900,plain,
    singleton(x) = singleton(singleton(member_of(x))),
    inference(resolution,status(thm),[c2,c118]) ).

cnf(c54970,plain,
    subclass(singleton(singleton(member_of(x))),null_class),
    inference(resolution,status(thm),[c900,c7909]) ).

cnf(c55812,plain,
    member(singleton(member_of(x)),null_class),
    inference(resolution,status(thm),[c54970,c306]) ).

cnf(c55840,plain,
    $false,
    inference(resolution,status(thm),[c55812,existence_of_null_class]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET093-7 : 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 : Mon Jul 11 02:25:55 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 45.01/45.24  # Version:  1.3
% 45.01/45.24  # SZS status Unsatisfiable
% 45.01/45.24  # SZS output start CNFRefutation
% See solution above
% 45.01/45.24  
% 45.01/45.24  # Initial clauses    : 182
% 45.01/45.24  # Processed clauses  : 1732
% 45.01/45.24  # Factors computed   : 7
% 45.01/45.24  # Resolvents computed: 55825
% 45.01/45.24  # Tautologies deleted: 13
% 45.01/45.24  # Forward subsumed   : 2415
% 45.01/45.24  # Backward subsumed  : 36
% 45.01/45.24  # -------- CPU Time ---------
% 45.01/45.24  # User time          : 44.763 s
% 45.01/45.24  # System time        : 0.122 s
% 45.01/45.24  # Total time         : 44.885 s
%------------------------------------------------------------------------------