%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN931+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n024.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 09:12:16 EDT 2022

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   19 (  10 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   32 (   9   ~;   2   |;  14   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   2 prp; 0-1 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   20 (   0 sgn   4   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ( ? [X] :
        ( p(X)
        & c )
  <=> ( ? [X] : p(X)
      & c ) ) ).

fof(subgoal_0,plain,
    ( ? [X] :
        ( p(X)
        & c )
   => ? [X] : p(X) ),
    inference(strip,[],[prove_this]) ).

fof(subgoal_1,plain,
    ( ( ? [X] :
          ( p(X)
          & c )
      & ? [X] : p(X) )
   => c ),
    inference(strip,[],[prove_this]) ).

fof(subgoal_2,plain,
    ( ( ? [X] : p(X)
      & c )
   => ? [X] :
        ( p(X)
        & c ) ),
    inference(strip,[],[prove_this]) ).

fof(negate_0_0,plain,
    ~ ( ? [X] :
          ( p(X)
          & c )
     => ? [X] : p(X) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    $false,
    inference(canonicalize,[],[negate_0_0]) ).

cnf(refute_0_0,plain,
    $false,
    inference(canonicalize,[],[normalize_0_0]) ).

fof(negate_1_0,plain,
    ~ ( ( ? [X] :
            ( p(X)
            & c )
        & ? [X] : p(X) )
     => c ),
    inference(negate,[],[subgoal_1]) ).

fof(normalize_1_0,plain,
    $false,
    inference(canonicalize,[],[negate_1_0]) ).

cnf(refute_1_0,plain,
    $false,
    inference(canonicalize,[],[normalize_1_0]) ).

fof(negate_2_0,plain,
    ~ ( ( ? [X] : p(X)
        & c )
     => ? [X] :
          ( p(X)
          & c ) ),
    inference(negate,[],[subgoal_2]) ).

fof(normalize_2_0,plain,
    ( c
    & ( ~ c
      | ! [X] : ~ p(X) )
    & ? [X] : p(X) ),
    inference(canonicalize,[],[negate_2_0]) ).

fof(normalize_2_1,plain,
    ? [X] : p(X),
    inference(conjunct,[],[normalize_2_0]) ).

fof(normalize_2_2,plain,
    ( ~ c
    | ! [X] : ~ p(X) ),
    inference(conjunct,[],[normalize_2_0]) ).

fof(normalize_2_3,plain,
    c,
    inference(conjunct,[],[normalize_2_0]) ).

fof(normalize_2_4,plain,
    ! [X] : ~ p(X),
    inference(simplify,[],[normalize_2_2,normalize_2_3]) ).

fof(normalize_2_5,plain,
    ! [X] : ~ p(X),
    inference(specialize,[],[normalize_2_4]) ).

fof(normalize_2_6,plain,
    $false,
    inference(simplify,[],[normalize_2_1,normalize_2_5]) ).

cnf(refute_2_0,plain,
    $false,
    inference(canonicalize,[],[normalize_2_6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN931+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 16:01:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------