%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN403+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 09:02:09 EDT 2022

% Result   : Theorem 0.10s 0.31s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   37 (  10   ~;   6   |;  11   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    4 (   0 sgn   3   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kalish234,conjecture,
    ! [X] :
      ( ( ( f(X)
         => g(X) )
        & ( g(X)
         => h(X) ) )
     => ( f(X)
       => h(X) ) ) ).

fof(subgoal_0,plain,
    ! [X] :
      ( ( ( f(X)
         => g(X) )
        & ( g(X)
         => h(X) )
        & f(X) )
     => h(X) ),
    inference(strip,[],[kalish234]) ).

fof(negate_0_0,plain,
    ~ ! [X] :
        ( ( ( f(X)
           => g(X) )
          & ( g(X)
           => h(X) )
          & f(X) )
       => h(X) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ? [X] :
      ( ~ h(X)
      & f(X)
      & ( ~ f(X)
        | g(X) )
      & ( ~ g(X)
        | h(X) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( ~ h(skolemFOFtoCNF_X)
    & f(skolemFOFtoCNF_X)
    & ( ~ f(skolemFOFtoCNF_X)
      | g(skolemFOFtoCNF_X) )
    & ( ~ g(skolemFOFtoCNF_X)
      | h(skolemFOFtoCNF_X) ) ),
    inference(skolemize,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ( ~ g(skolemFOFtoCNF_X)
    | h(skolemFOFtoCNF_X) ),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ( ~ f(skolemFOFtoCNF_X)
    | g(skolemFOFtoCNF_X) ),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_4,plain,
    f(skolemFOFtoCNF_X),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_5,plain,
    g(skolemFOFtoCNF_X),
    inference(simplify,[],[normalize_0_3,normalize_0_4]) ).

fof(normalize_0_6,plain,
    ~ h(skolemFOFtoCNF_X),
    inference(conjunct,[],[normalize_0_1]) ).

fof(normalize_0_7,plain,
    $false,
    inference(simplify,[],[normalize_0_2,normalize_0_5,normalize_0_6]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SYN403+1 : TPTP v8.1.0. Released v2.0.0.
% 0.02/0.10  % Command  : metis --show proof --show saturation %s
% 0.10/0.30  % Computer : n014.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Tue Jul 12 04:38:04 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.10/0.31  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.10/0.31  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31  
% 0.10/0.31  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.10/0.31  
%------------------------------------------------------------------------------