%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN358+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n027.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 09:01:45 EDT 2022

% Result   : Theorem 0.12s 0.35s
% 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   :   18 (   0 sgn   4   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(x2109,conjecture,
    ( ? [X] :
        ( p
        & big_q(X) )
  <=> ( p
      & ? [X] : big_q(X) ) ) ).

fof(subgoal_0,plain,
    ( ? [X] :
        ( p
        & big_q(X) )
   => p ),
    inference(strip,[],[x2109]) ).

fof(subgoal_1,plain,
    ( ( ? [X] :
          ( p
          & big_q(X) )
      & p )
   => ? [X] : big_q(X) ),
    inference(strip,[],[x2109]) ).

fof(subgoal_2,plain,
    ( ( p
      & ? [X] : big_q(X) )
   => ? [X] :
        ( p
        & big_q(X) ) ),
    inference(strip,[],[x2109]) ).

fof(negate_0_0,plain,
    ~ ( ? [X] :
          ( p
          & big_q(X) )
     => p ),
    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
            & big_q(X) )
        & p )
     => ? [X] : big_q(X) ),
    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,
    ~ ( ( p
        & ? [X] : big_q(X) )
     => ? [X] :
          ( p
          & big_q(X) ) ),
    inference(negate,[],[subgoal_2]) ).

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

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

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

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

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

fof(normalize_2_5,plain,
    ! [X] : ~ big_q(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
% 0.07/0.12  % Problem  : SYN358+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 00:32:04 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  
% 0.12/0.35  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35  
%------------------------------------------------------------------------------