%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN355+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n017.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 09:01:42 EDT 2022

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   22 (   6 unt;   0 def)
%            Number of atoms       :   54 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   53 (  21   ~;  13   |;   8   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   22 (   0 sgn  15   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(x2106,conjecture,
    ( ( ! [X] :
          ( big_r(X)
         => big_p(X) )
      & ! [X] :
          ( ~ big_q(X)
         => big_r(X) ) )
   => ! [X] :
        ( big_p(X)
        | big_q(X) ) ) ).

fof(subgoal_0,plain,
    ( ( ! [X] :
          ( big_r(X)
         => big_p(X) )
      & ! [X] :
          ( ~ big_q(X)
         => big_r(X) ) )
   => ! [X] :
        ( ~ big_p(X)
       => big_q(X) ) ),
    inference(strip,[],[x2106]) ).

fof(negate_0_0,plain,
    ~ ( ( ! [X] :
            ( big_r(X)
           => big_p(X) )
        & ! [X] :
            ( ~ big_q(X)
           => big_r(X) ) )
     => ! [X] :
          ( ~ big_p(X)
         => big_q(X) ) ),
    inference(negate,[],[subgoal_0]) ).

fof(normalize_0_0,plain,
    ( ? [X] :
        ( ~ big_p(X)
        & ~ big_q(X) )
    & ! [X] :
        ( ~ big_r(X)
        | big_p(X) )
    & ! [X] :
        ( big_q(X)
        | big_r(X) ) ),
    inference(canonicalize,[],[negate_0_0]) ).

fof(normalize_0_1,plain,
    ? [X] :
      ( ~ big_p(X)
      & ~ big_q(X) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_2,plain,
    ( ~ big_p(skolemFOFtoCNF_X)
    & ~ big_q(skolemFOFtoCNF_X) ),
    inference(skolemize,[],[normalize_0_1]) ).

fof(normalize_0_3,plain,
    ~ big_q(skolemFOFtoCNF_X),
    inference(conjunct,[],[normalize_0_2]) ).

fof(normalize_0_4,plain,
    ! [X] :
      ( big_q(X)
      | big_r(X) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_5,plain,
    ! [X] :
      ( big_q(X)
      | big_r(X) ),
    inference(specialize,[],[normalize_0_4]) ).

fof(normalize_0_6,plain,
    ! [X] :
      ( ~ big_r(X)
      | big_p(X) ),
    inference(conjunct,[],[normalize_0_0]) ).

fof(normalize_0_7,plain,
    ! [X] :
      ( ~ big_r(X)
      | big_p(X) ),
    inference(specialize,[],[normalize_0_6]) ).

fof(normalize_0_8,plain,
    ~ big_p(skolemFOFtoCNF_X),
    inference(conjunct,[],[normalize_0_2]) ).

cnf(refute_0_0,plain,
    ~ big_q(skolemFOFtoCNF_X),
    inference(canonicalize,[],[normalize_0_3]) ).

cnf(refute_0_1,plain,
    ( big_q(X)
    | big_r(X) ),
    inference(canonicalize,[],[normalize_0_5]) ).

cnf(refute_0_2,plain,
    ( big_q(X_1)
    | big_r(X_1) ),
    inference(subst,[],[refute_0_1:[bind(X,$fot(X_1))]]) ).

cnf(refute_0_3,plain,
    ( ~ big_r(X)
    | big_p(X) ),
    inference(canonicalize,[],[normalize_0_7]) ).

cnf(refute_0_4,plain,
    ( ~ big_r(X_1)
    | big_p(X_1) ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(X_1))]]) ).

cnf(refute_0_5,plain,
    ( big_p(X_1)
    | big_q(X_1) ),
    inference(resolve,[$cnf( big_r(X_1) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( big_p(skolemFOFtoCNF_X)
    | big_q(skolemFOFtoCNF_X) ),
    inference(subst,[],[refute_0_5:[bind(X_1,$fot(skolemFOFtoCNF_X))]]) ).

cnf(refute_0_7,plain,
    big_p(skolemFOFtoCNF_X),
    inference(resolve,[$cnf( big_q(skolemFOFtoCNF_X) )],[refute_0_6,refute_0_0]) ).

cnf(refute_0_8,plain,
    ~ big_p(skolemFOFtoCNF_X),
    inference(canonicalize,[],[normalize_0_8]) ).

cnf(refute_0_9,plain,
    $false,
    inference(resolve,[$cnf( big_p(skolemFOFtoCNF_X) )],[refute_0_7,refute_0_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN355+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12  % Command  : metis --show proof --show saturation %s
% 0.12/0.33  % Computer : n017.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 : Tue Jul 12 07:04:34 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  
% 0.12/0.34  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34  
%------------------------------------------------------------------------------