%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN391+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n016.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 09:02:03 EDT 2022

% Result   : Theorem 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   18 (   8 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   79 (  30   ~;  25   |;  19   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    3 (   2 usr;   3 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel9,conjecture,
    ( ( ( p1
        | p2 )
      & ( ~ p1
        | p2 )
      & ( p1
        | ~ p2 ) )
   => ~ ( ~ p1
        | ~ p2 ) ) ).

fof(subgoal_0,plain,
    ( ( ( p1
        | p2 )
      & ( ~ p1
        | p2 )
      & ( p1
        | ~ p2 ) )
   => p1 ),
    inference(strip,[],[pel9]) ).

fof(subgoal_1,plain,
    ( ( ( p1
        | p2 )
      & ( ~ p1
        | p2 )
      & ( p1
        | ~ p2 )
      & ~ ~ p1 )
   => p2 ),
    inference(strip,[],[pel9]) ).

fof(negate_0_0,plain,
    ~ ( ( ( p1
          | p2 )
        & ( ~ p1
          | p2 )
        & ( p1
          | ~ p2 ) )
     => p1 ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ~ p1
    & ( ~ p1
      | p2 )
    & ( ~ p2
      | p1 )
    & ( p1
      | p2 ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ( p1
    | p2 ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ~ p1,
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_3,plain,
    ( ~ p2
    | p1 ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_4,plain,
    ~ p2,
    inference(simplify,[],[normalize_0_3,normalize_0_2]) ).

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

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

fof(negate_1_0,plain,
    ~ ( ( ( p1
          | p2 )
        & ( ~ p1
          | p2 )
        & ( p1
          | ~ p2 )
        & ~ ~ p1 )
     => p2 ),
    inference(negate,[],[subgoal_1]) ).

fof(normalize_1_0,plain,
    ( ~ p2
    & p1
    & ( ~ p1
      | p2 )
    & ( ~ p2
      | p1 )
    & ( p1
      | p2 ) ),
    inference(canonicalize,[],[negate_1_0]) ).

fof(normalize_1_1,plain,
    ( ~ p1
    | p2 ),
    inference(conjunct,[],[normalize_1_0]) ).

fof(normalize_1_2,plain,
    p1,
    inference(conjunct,[],[normalize_1_0]) ).

fof(normalize_1_3,plain,
    ~ p2,
    inference(conjunct,[],[normalize_1_0]) ).

fof(normalize_1_4,plain,
    $false,
    inference(simplify,[],[normalize_1_1,normalize_1_2,normalize_1_3]) ).

cnf(refute_1_0,plain,
    $false,
    inference(canonicalize,[],[normalize_1_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14  % Problem  : SYN391+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.15  % Command  : metis --show proof --show saturation %s
% 0.14/0.37  % Computer : n016.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 600
% 0.14/0.37  % DateTime : Mon Jul 11 21:09:58 EDT 2022
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.14/0.37  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  
% 0.14/0.37  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.14/0.38  
%------------------------------------------------------------------------------