%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN951+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n005.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 09:12:24 EDT 2022

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   38 (  10   ~;   3   |;  16   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   4 prp; 0-1 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   14 (   0 sgn   0   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
    ( ? [X] : p(X)
   => ( ? [X] : p(X)
      & ( a
       => ( ( b
            | ~ b )
          & ( q
           => q ) ) ) ) ) ).

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

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

fof(subgoal_2,plain,
    ( ( ? [X] : p(X)
      & ? [X] : p(X)
      & a
      & ( b
        | ~ b )
      & q )
   => q ),
    inference(strip,[],[prove_this]) ).

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

fof(normalize_2_0,plain,
    $false,
    inference(canonicalize,[],[negate_2_0]) ).

cnf(refute_2_0,plain,
    $false,
    inference(canonicalize,[],[normalize_2_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN951+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Mon Jul 11 12:20:06 EDT 2022
% 0.13/0.34  % 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  
%------------------------------------------------------------------------------