%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SET061+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n003.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 03:31:58 EDT 2022

% Result   : Theorem 0.12s 0.36s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    9 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   16 (   1 sgn   9   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(null_class_defn,axiom,
    ! [X] : ~ member(X,null_class) ).

fof(existence_of_null_class,conjecture,
    ? [X] :
    ! [Z] : ~ member(Z,X) ).

fof(subgoal_0,plain,
    ? [X] :
    ! [Z] : ~ member(Z,X),
    inference(strip,[],[existence_of_null_class]) ).

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

fof(normalize_0_0,plain,
    ! [X] : ~ member(X,null_class),
    inference(canonicalize,[],[null_class_defn]) ).

fof(normalize_0_1,plain,
    ! [X] : ~ member(X,null_class),
    inference(specialize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X] :
    ? [Z] : member(Z,X),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_3,plain,
    ! [X] :
    ? [Z] : member(Z,X),
    inference(specialize,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X] : member(skolemFOFtoCNF_Z(X),X),
    inference(skolemize,[],[normalize_0_3]) ).

cnf(refute_0_0,plain,
    ~ member(X,null_class),
    inference(canonicalize,[],[normalize_0_1]) ).

cnf(refute_0_1,plain,
    ~ member(skolemFOFtoCNF_Z(null_class),null_class),
    inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Z(null_class)))]]) ).

cnf(refute_0_2,plain,
    member(skolemFOFtoCNF_Z(X),X),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_3,plain,
    member(skolemFOFtoCNF_Z(null_class),null_class),
    inference(subst,[],[refute_0_2:[bind(X,$fot(null_class))]]) ).

cnf(refute_0_4,plain,
    $false,
    inference(resolve,[$cnf( member(skolemFOFtoCNF_Z(null_class),null_class) )],[refute_0_3,refute_0_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET061+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n003.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 16:23:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36  
% 0.12/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.36  
%------------------------------------------------------------------------------