%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN362+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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  : 300s
% DateTime : Wed May 31 12:46:39 EDT 2023

% Result   : Theorem 0.13s 0.52s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   25 (  12   ~;   3   |;   6   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   22 (;  14   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ( ! [Y] :
        ? [W] : big_r(Y,W)
      & ? [Z] :
        ! [X] :
          ( big_p(X)
         => ~ big_r(Z,X) ) )
   => ? [X] : ~ big_p(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ( ( ! [Y] :
          ? [W] : big_r(Y,W)
        & ? [Z] :
          ! [X] :
            ( big_p(X)
           => ~ big_r(Z,X) ) )
     => ? [X] : ~ big_p(X) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ! [Y] :
      ? [W] : big_r(Y,W)
    & ? [Z] :
      ! [X] :
        ( ~ big_p(X)
        | ~ big_r(Z,X) )
    & ! [X] : big_p(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ! [Y] : big_r(Y,sk0_0(Y))
    & ! [X] :
        ( ~ big_p(X)
        | ~ big_r(sk0_1,X) )
    & ! [X] : big_p(X) ),
    inference(skolemization,[status(esa)],[f3]) ).

fof(f5,plain,
    ! [X0] : big_r(X0,sk0_0(X0)),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ big_p(X0)
      | ~ big_r(sk0_1,X0) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f7,plain,
    ! [X0] : big_p(X0),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f8,plain,
    ! [X0] : ~ big_r(sk0_1,X0),
    inference(backward_subsumption_resolution,[status(thm)],[f6,f7]) ).

fof(f9,plain,
    $false,
    inference(resolution,[status(thm)],[f5,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SYN362+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n021.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue May 30 10:25:37 EDT 2023
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Drodi V3.5.1
% 0.13/0.52  % Refutation found
% 0.13/0.52  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.52  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.52  % Elapsed time: 0.011511 seconds
% 0.13/0.52  % CPU time: 0.010695 seconds
% 0.13/0.52  % Memory used: 1.761 MB
%------------------------------------------------------------------------------