%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN400+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n018.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 12:46:44 EDT 2023

% Result   : Theorem 0.14s 0.57s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   3 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   15 (   6   ~;   4   |;   1   &)
%                                         (   3 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    3 (   2 usr;   3 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    5 (;   4   !;   1   ?)

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

fof(f2,negated_conjecture,
    ~ ( ! [X] : p
    <=> p ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ! [X] : p
  <~> p ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

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

fof(f5,plain,
    ( p
    | p ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f6,plain,
    ( ~ p
    | ~ p ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f7,plain,
    ( spl0_0
  <=> p ),
    introduced(split_symbol_definition) ).

fof(f10,plain,
    spl0_0,
    inference(split_clause,[status(thm)],[f5,f7]) ).

fof(f11,plain,
    ~ spl0_0,
    inference(split_clause,[status(thm)],[f6,f7]) ).

fof(f12,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f10,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SYN400+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.33  % Computer : n018.cluster.edu
% 0.09/0.33  % Model    : x86_64 x86_64
% 0.09/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.33  % Memory   : 8042.1875MB
% 0.09/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.33  % CPULimit : 300
% 0.09/0.33  % WCLimit  : 300
% 0.09/0.33  % DateTime : Tue May 30 10:36:10 EDT 2023
% 0.09/0.33  % CPUTime  : 
% 0.09/0.34  % Drodi V3.5.1
% 0.14/0.57  % Refutation found
% 0.14/0.57  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.57  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.57  % Elapsed time: 0.019044 seconds
% 0.14/0.57  % CPU time: 0.008600 seconds
% 0.14/0.57  % Memory used: 457.576 KB
%------------------------------------------------------------------------------