%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : LCL230+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n020.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 : Sun Jul 17 12:50:55 EDT 2022

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   37 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   38 (  11   ~;  11   |;   9   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    4 (   3 usr;   4 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel5,conjecture,
    ( ( ( p
        | q )
     => ( p
        | r ) )
   => ( p
      | ( q
       => r ) ) ) ).

fof(subgoal_0,plain,
    ( ( ( ( p
          | q )
       => ( p
          | r ) )
      & ~ p
      & q )
   => r ),
    inference(strip,[],[pel5]) ).

fof(negate_0_0,plain,
    ~ ( ( ( ( p
            | q )
         => ( p
            | r ) )
        & ~ p
        & q )
     => r ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ~ p
    & ~ r
    & q
    & ( p
      | r
      | ( ~ p
        & ~ q ) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( p
    | r
    | ( ~ p
      & ~ q ) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ~ p,
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_3,plain,
    ~ r,
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_4,plain,
    q,
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_5,plain,
    $false,
    inference(simplify,[],[normalize_0_1,normalize_0_2,normalize_0_3,normalize_0_2,normalize_0_4]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL230+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun Jul  3 22:44:00 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  
% 0.13/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.35  
%------------------------------------------------------------------------------