%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN318+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n011.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 : Thu Jul 21 09:01:13 EDT 2022

% Result   : Theorem 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   44 (  17   ~;   9   |;   3   &)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   26 (   5 sgn  15   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(church_46_2_4,conjecture,
    ? [Y] :
      ( ! [X] :
          ( big_f(X)
         => ( big_f(Y)
           => big_g(X) ) )
     => ( p
       => ! [X] :
            ( big_f(X)
           => big_g(Y) ) ) ) ).

fof(subgoal_0,plain,
    ? [Y] :
      ( ! [X] :
          ( big_f(X)
         => ( big_f(Y)
           => big_g(X) ) )
     => ( p
       => ! [X] :
            ( big_f(X)
           => big_g(Y) ) ) ),
    inference(strip,[],[church_46_2_4]) ).

fof(negate_0_0,plain,
    ~ ? [Y] :
        ( ! [X] :
            ( big_f(X)
           => ( big_f(Y)
             => big_g(X) ) )
       => ( p
         => ! [X] :
              ( big_f(X)
             => big_g(Y) ) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( p
    & ? [X] : big_f(X)
    & ! [Y] : ~ big_g(Y)
    & ! [X,Y] :
        ( ~ big_f(X)
        | ~ big_f(Y)
        | big_g(X) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ? [X] : big_f(X),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    big_f(skolemFOFtoCNF_X),
    inference(skolemize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X,Y] :
      ( ~ big_f(X)
      | ~ big_f(Y)
      | big_g(X) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_4,plain,
    ! [X,Y] :
      ( ~ big_f(X)
      | ~ big_f(Y)
      | big_g(X) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [Y] : ~ big_g(Y),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_6,plain,
    ! [Y] : ~ big_g(Y),
    inference(specialize,[],[normalize_0_5]) ).

cnf(refute_0_0,plain,
    big_f(skolemFOFtoCNF_X),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ( ~ big_f(X)
    | ~ big_f(Y)
    | big_g(X) ),
    inference(canonicalize,[],[normalize_0_4]) ).

cnf(refute_0_2,plain,
    ~ big_g(Y),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_3,plain,
    ~ big_g(X),
    inference(subst,[],[refute_0_2:[bind(Y,$fot(X))]]) ).

cnf(refute_0_4,plain,
    ( ~ big_f(X)
    | ~ big_f(Y) ),
    inference(resolve,[$cnf( big_g(X) )],[refute_0_1,refute_0_3]) ).

cnf(refute_0_5,plain,
    ~ big_f(skolemFOFtoCNF_X),
    inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( big_f(skolemFOFtoCNF_X) )],[refute_0_0,refute_0_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN318+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.14  % Command  : metis --show proof --show saturation %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jul 11 21:16:57 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.36  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  
% 0.14/0.36  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.36  
%------------------------------------------------------------------------------