%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET080-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n007.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 04:35:23 EDT 2022

% Result   : Unsatisfiable 0.75s 0.93s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_null_class_in_its_singleton_1,negated_conjecture,
    ~ member(null_class,singleton(null_class)),
    input ).

cnf(equal_implies_subclass1,axiom,
    ( X9 != X10
    | subclass(X9,X10) ),
    input ).

cnf(singleton_set,axiom,
    unordered_pair(X43,X43) = singleton(X43),
    input ).

cnf(c54,plain,
    subclass(unordered_pair(X45,X45),singleton(X45)),
    inference(resolution,status(thm),[singleton_set,equal_implies_subclass1]) ).

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

cnf(unordered_pair3,axiom,
    ( ~ member(X56,universal_class)
    | member(X56,unordered_pair(X55,X56)) ),
    input ).

cnf(class_elements_are_sets,axiom,
    subclass(X3,universal_class),
    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,
    member(null_class,unordered_pair(X93,null_class)),
    inference(resolution,status(thm),[c110,unordered_pair3]) ).

cnf(c122,plain,
    ( ~ subclass(unordered_pair(X325,null_class),X326)
    | member(null_class,X326) ),
    inference(resolution,status(thm),[c111,subclass_members]) ).

cnf(c1394,plain,
    member(null_class,singleton(null_class)),
    inference(resolution,status(thm),[c122,c54]) ).

cnf(c1426,plain,
    $false,
    inference(resolution,status(thm),[c1394,prove_null_class_in_its_singleton_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET080-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n007.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 11:11:01 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.75/0.93  # Version:  1.3
% 0.75/0.93  # SZS status Unsatisfiable
% 0.75/0.93  # SZS output start CNFRefutation
% See solution above
% 0.75/0.93  
% 0.75/0.93  # Initial clauses    : 134
% 0.75/0.93  # Processed clauses  : 216
% 0.75/0.93  # Factors computed   : 0
% 0.75/0.93  # Resolvents computed: 1388
% 0.75/0.93  # Tautologies deleted: 8
% 0.75/0.93  # Forward subsumed   : 72
% 0.75/0.93  # Backward subsumed  : 1
% 0.75/0.93  # -------- CPU Time ---------
% 0.75/0.93  # User time          : 0.576 s
% 0.75/0.93  # System time        : 0.014 s
% 0.75/0.93  # Total time         : 0.590 s
%------------------------------------------------------------------------------