%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET063-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 03:32:04 EDT 2022

% Result   : Unsatisfiable 158.61s 158.80s
% Output   : CNFRefutation 158.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   8 RR)
%            Number of literals    :   14 (   5 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(subclass_implies_equal,axiom,
    ( ~ subclass(X,Y)
    | ~ subclass(Y,X)
    | X = Y ) ).

cnf(null_class_is_subclass,axiom,
    subclass(null_class,X) ).

cnf(prove_corollary_of_null_class_is_subclass_1,negated_conjecture,
    subclass(x,null_class) ).

cnf(prove_corollary_of_null_class_is_subclass_2,negated_conjecture,
    x != null_class ).

cnf(refute_0_0,plain,
    ( ~ subclass(null_class,x)
    | ~ subclass(x,null_class)
    | x = null_class ),
    inference(subst,[],[subclass_implies_equal:[bind(X,$fot(x)),bind(Y,$fot(null_class))]]) ).

cnf(refute_0_1,plain,
    ( ~ subclass(null_class,x)
    | x = null_class ),
    inference(resolve,[$cnf( subclass(x,null_class) )],[prove_corollary_of_null_class_is_subclass_1,refute_0_0]) ).

cnf(refute_0_2,plain,
    subclass(null_class,x),
    inference(subst,[],[null_class_is_subclass:[bind(X,$fot(x))]]) ).

cnf(refute_0_3,plain,
    x = null_class,
    inference(resolve,[$cnf( subclass(null_class,x) )],[refute_0_2,refute_0_1]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( $equal(x,null_class) )],[refute_0_3,prove_corollary_of_null_class_is_subclass_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET063-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 19:23:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 158.61/158.80  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 158.61/158.80  
% 158.61/158.80  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 158.61/158.80  
%------------------------------------------------------------------------------