%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN049+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 12:45:47 EDT 2023

% Result   : Theorem 0.06s 0.26s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   18 (   5 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   37 (  14   ~;   9   |;   6   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   17 (;  11   !;   6   ?)

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

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

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

fof(f4,plain,
    ( ( ? [Y] : ~ big_p(Y)
      | ? [Z] : big_q(Z) )
    & ! [X] : big_p(X)
    & ! [X] : ~ big_q(X) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f5,plain,
    ( ( ~ big_p(sk0_0)
      | big_q(sk0_1) )
    & ! [X] : big_p(X)
    & ! [X] : ~ big_q(X) ),
    inference(skolemization,[status(esa)],[f4]) ).

fof(f6,plain,
    ( ~ big_p(sk0_0)
    | big_q(sk0_1) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f7,plain,
    ! [X0] : big_p(X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f8,plain,
    ! [X0] : ~ big_q(X0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f9,plain,
    ( spl0_0
  <=> big_p(sk0_0) ),
    introduced(split_symbol_definition) ).

fof(f11,plain,
    ( ~ big_p(sk0_0)
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f9]) ).

fof(f12,plain,
    ( spl0_1
  <=> big_q(sk0_1) ),
    introduced(split_symbol_definition) ).

fof(f13,plain,
    ( big_q(sk0_1)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f12]) ).

fof(f15,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f6,f9,f12]) ).

fof(f16,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11,f7]) ).

fof(f17,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f16]) ).

fof(f18,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13,f8]) ).

fof(f19,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f18]) ).

fof(f20,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f15,f17,f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SYN049+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n009.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 10:25:01 EDT 2023
% 0.06/0.25  % CPUTime  : 
% 0.06/0.25  % Drodi V3.5.1
% 0.06/0.26  % Refutation found
% 0.06/0.26  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.06/0.26  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.47  % Elapsed time: 0.006528 seconds
% 0.10/0.47  % CPU time: 0.015941 seconds
% 0.10/0.47  % Memory used: 6.977 MB
%------------------------------------------------------------------------------