%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET054+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n022.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 03:31:50 EDT 2022

% Result   : Theorem 0.19s 0.41s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (  10 unt;   0 def)
%            Number of atoms       :   32 (  10 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   32 (  17   ~;   9   |;   3   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   19 (   0 sgn  13   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(extensionality,axiom,
    ! [X,Y] :
      ( X = Y
    <=> ( subclass(X,Y)
        & subclass(Y,X) ) ) ).

fof(reflexivity_of_subclass,conjecture,
    ! [X] : subclass(X,X) ).

fof(subgoal_0,plain,
    ! [X] : subclass(X,X),
    inference(strip,[],[reflexivity_of_subclass]) ).

fof(negate_0_0,plain,
    ~ ! [X] : subclass(X,X),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [X] : ~ subclass(X,X),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ~ subclass(skolemFOFtoCNF_X_2,skolemFOFtoCNF_X_2),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X,Y] :
      ( X != Y
    <=> ( ~ subclass(X,Y)
        | ~ subclass(Y,X) ) ),
    inference(canonicalize,[],[extensionality]) ).

fof(normalize_0_3,plain,
    ! [X,Y] :
      ( X != Y
    <=> ( ~ subclass(X,Y)
        | ~ subclass(Y,X) ) ),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X,Y] :
      ( ( X != Y
        | subclass(X,Y) )
      & ( X != Y
        | subclass(Y,X) )
      & ( ~ subclass(X,Y)
        | ~ subclass(Y,X)
        | X = Y ) ),
    inference(clausify,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X,Y] :
      ( X != Y
      | subclass(X,Y) ),
    inference(conjunct,[],[normalize_0_4]) ).

cnf(refute_0_0,plain,
    ~ subclass(skolemFOFtoCNF_X_2,skolemFOFtoCNF_X_2),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    ( X != Y
    | subclass(X,Y) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_2,plain,
    ( Y != Y
    | subclass(Y,Y) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(Y))]]) ).

cnf(refute_0_3,plain,
    Y = Y,
    introduced(tautology,[refl,[$fot(Y)]]) ).

cnf(refute_0_4,plain,
    subclass(Y,Y),
    inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_3,refute_0_2]) ).

cnf(refute_0_5,plain,
    subclass(skolemFOFtoCNF_X_2,skolemFOFtoCNF_X_2),
    inference(subst,[],[refute_0_4:[bind(Y,$fot(skolemFOFtoCNF_X_2))]]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( subclass(skolemFOFtoCNF_X_2,skolemFOFtoCNF_X_2) )],[refute_0_5,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET054+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n022.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 : Mon Jul 11 01:44:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.41  
% 0.19/0.41  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.41  
%------------------------------------------------------------------------------