%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN343+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n014.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 09:01:33 EDT 2022

% Result   : Theorem 0.14s 0.32s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   43 (  15   ~;  11   |;   8   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   44 (   5 sgn  22   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(church_46_16_2,conjecture,
    ? [X,Y1,Y2] :
    ! [Z] :
      ( ( ( big_f(X,Y1)
         => big_f(Z,X) )
       => big_f(X,X) )
     => ( big_f(X,X)
        & big_f(Y1,Y2) ) ) ).

fof(subgoal_0,plain,
    ? [X,Y1,Y2] :
    ! [Z] :
      ( ( ( big_f(X,Y1)
         => big_f(Z,X) )
       => big_f(X,X) )
     => ( big_f(X,X)
        & big_f(Y1,Y2) ) ),
    inference(strip,[],[church_46_16_2]) ).

fof(negate_0_0,plain,
    ~ ? [X,Y1,Y2] :
      ! [Z] :
        ( ( ( big_f(X,Y1)
           => big_f(Z,X) )
         => big_f(X,X) )
       => ( big_f(X,X)
          & big_f(Y1,Y2) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ( ! [X] : ~ big_f(X,X)
      | ! [Y1,Y2] : ~ big_f(Y1,Y2) )
    & ! [X] :
        ( big_f(X,X)
        | ( ? [Z] : ~ big_f(Z,X)
          & ! [Y1] : big_f(X,Y1) ) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( ! [X] : ~ big_f(X,X)
    | ! [Y1,Y2] : ~ big_f(Y1,Y2) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ! [X,Y1,Y2] :
      ( ~ big_f(X,X)
      | ~ big_f(Y1,Y2) ),
    inference(clausify,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ! [X] :
      ( big_f(X,X)
      | ( ? [Z] : ~ big_f(Z,X)
        & ! [Y1] : big_f(X,Y1) ) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_4,plain,
    ! [X] :
      ( big_f(X,X)
      | ( ? [Z] : ~ big_f(Z,X)
        & ! [Y1] : big_f(X,Y1) ) ),
    inference(specialize,[],[normalize_0_3]) ).

fof(normalize_0_5,plain,
    ! [X,Y1] :
      ( ( ~ big_f(skolemFOFtoCNF_Z(X),X)
        | big_f(X,X) )
      & ( big_f(X,X)
        | big_f(X,Y1) ) ),
    inference(clausify,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [X,Y1] :
      ( big_f(X,X)
      | big_f(X,Y1) ),
    inference(conjunct,[],[normalize_0_5]) ).

cnf(refute_0_0,plain,
    ( ~ big_f(X,X)
    | ~ big_f(Y1,Y2) ),
    inference(canonicalize,[],[normalize_0_2]) ).

cnf(refute_0_1,plain,
    ~ big_f(Y2,Y2),
    inference(subst,[],[refute_0_0:[bind(X,$fot(Y2)),bind(Y1,$fot(Y2))]]) ).

cnf(refute_0_2,plain,
    ( big_f(X,X)
    | big_f(X,Y1) ),
    inference(canonicalize,[],[normalize_0_6]) ).

cnf(refute_0_3,plain,
    ~ big_f(X,X),
    inference(subst,[],[refute_0_0:[bind(Y1,$fot(X)),bind(Y2,$fot(X))]]) ).

cnf(refute_0_4,plain,
    big_f(X,Y1),
    inference(resolve,[$cnf( big_f(X,X) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    big_f(Y2,Y2),
    inference(subst,[],[refute_0_4:[bind(X,$fot(Y2)),bind(Y1,$fot(Y2))]]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( big_f(Y2,Y2) )],[refute_0_5,refute_0_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN343+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.32  % Computer : n014.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit : 300
% 0.14/0.32  % WCLimit  : 600
% 0.14/0.32  % DateTime : Mon Jul 11 20:42:49 EDT 2022
% 0.14/0.32  % CPUTime  : 
% 0.14/0.32  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.32  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.32  
% 0.14/0.32  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.33  
%------------------------------------------------------------------------------