%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN391+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n004.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 12:46:43 EDT 2023

% Result   : Theorem 0.21s 0.37s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   1 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   54 (  23   ~;  20   |;   7   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    5 (   4 usr;   5 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (;   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ( ( p1
        | p2 )
      & ( ~ p1
        | p2 )
      & ( p1
        | ~ p2 ) )
   => ~ ( ~ p1
        | ~ p2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ( ( ( p1
          | p2 )
        & ( ~ p1
          | p2 )
        & ( p1
          | ~ p2 ) )
     => ~ ( ~ p1
          | ~ p2 ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ( p1
      | p2 )
    & ( ~ p1
      | p2 )
    & ( p1
      | ~ p2 )
    & ( ~ p1
      | ~ p2 ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( p1
    | p2 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f5,plain,
    ( ~ p1
    | p2 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f6,plain,
    ( p1
    | ~ p2 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    ( ~ p1
    | ~ p2 ),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f8,plain,
    ( spl0_0
  <=> p1 ),
    introduced(split_symbol_definition) ).

fof(f11,plain,
    ( spl0_1
  <=> p2 ),
    introduced(split_symbol_definition) ).

fof(f14,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f4,f8,f11]) ).

fof(f15,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f5,f8,f11]) ).

fof(f16,plain,
    ( spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f6,f8,f11]) ).

fof(f17,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f7,f8,f11]) ).

fof(f18,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f14,f15,f16,f17]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN391+1 : TPTP v8.1.2. Released v2.0.0.
% 0.14/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n004.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 : Tue May 30 10:20:22 EDT 2023
% 0.21/0.35  % CPUTime  : 
% 0.21/0.35  % Drodi V3.5.1
% 0.21/0.37  % Refutation found
% 0.21/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.37  % Elapsed time: 0.015341 seconds
% 0.21/0.37  % CPU time: 0.012652 seconds
% 0.21/0.37  % Memory used: 680.817 KB
%------------------------------------------------------------------------------