%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN956+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %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  : 300s
% DateTime : Wed May 31 12:48:29 EDT 2023

% Result   : Theorem 0.14s 0.54s
% Output   : CNFRefutation 0.14s
% 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 :    5 (   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 (;  10   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ? [X] :
        ( a(X)
       => b(X) )
   => ( ! [X] : a(X)
     => ? [X] : b(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ( ? [X] :
          ( a(X)
         => b(X) )
     => ( ! [X] : a(X)
       => ? [X] : b(X) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ? [X] :
        ( ~ a(X)
        | b(X) )
    & ! [X] : a(X)
    & ! [X] : ~ b(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ( ? [X] : ~ a(X)
      | ? [X] : b(X) )
    & ! [X] : a(X)
    & ! [X] : ~ b(X) ),
    inference(miniscoping,[status(esa)],[f3]) ).

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

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

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

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

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

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

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

fof(f13,plain,
    ( b(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
% 0.02/0.10  % Problem  : SYN956+1 : TPTP v8.1.2. Released v3.1.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.31  % Computer : n017.cluster.edu
% 0.08/0.31  % Model    : x86_64 x86_64
% 0.08/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31  % Memory   : 8042.1875MB
% 0.08/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31  % CPULimit : 300
% 0.08/0.31  % WCLimit  : 300
% 0.08/0.31  % DateTime : Tue May 30 09:54:10 EDT 2023
% 0.08/0.31  % CPUTime  : 
% 0.08/0.31  % Drodi V3.5.1
% 0.14/0.54  % Refutation found
% 0.14/0.54  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.54  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.54  % Elapsed time: 0.012314 seconds
% 0.14/0.54  % CPU time: 0.009584 seconds
% 0.14/0.54  % Memory used: 1.761 MB
%------------------------------------------------------------------------------