%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : LCL230+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 : Tue Apr 30 20:26:47 EDT 2024

% Result   : Theorem 0.14s 0.37s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   52 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   47 (  16   ~;  18   |;   4   &)
%                                         (   3 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    7 (   6 usr;   7 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ( ( p
        | q )
     => ( p
        | r ) )
   => ( p
      | ( q
       => r ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ( ( ( p
          | q )
       => ( p
          | r ) )
     => ( p
        | ( q
         => r ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( ( ~ p
        & ~ q )
      | p
      | r )
    & ~ p
    & q
    & ~ r ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f5,plain,
    ( ~ q
    | p
    | r ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f6,plain,
    ~ p,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    q,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f8,plain,
    ~ r,
    inference(cnf_transformation,[status(esa)],[f3]) ).

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

fof(f10,plain,
    ( p
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f9]) ).

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

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

fof(f16,plain,
    ( spl0_2
  <=> q ),
    introduced(split_symbol_definition) ).

fof(f18,plain,
    ( ~ q
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f16]) ).

fof(f19,plain,
    ( ~ spl0_2
    | spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f5,f16,f9,f12]) ).

fof(f20,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f18,f7]) ).

fof(f21,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f20]) ).

fof(f22,plain,
    ( $false
    | ~ spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f10,f6]) ).

fof(f23,plain,
    ~ spl0_0,
    inference(contradiction_clause,[status(thm)],[f22]) ).

fof(f24,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f13,f8]) ).

fof(f25,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f24]) ).

fof(f26,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f19,f21,f23,f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL230+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n007.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Apr 29 20:17:17 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.37  % Refutation found
% 0.14/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38  % Elapsed time: 0.020033 seconds
% 0.14/0.38  % CPU time: 0.032608 seconds
% 0.14/0.38  % Total memory used: 1.878 MB
% 0.14/0.38  % Net memory used: 1.704 MB
%------------------------------------------------------------------------------