%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN978+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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 12:48:32 EDT 2023

% Result   : Theorem 0.07s 0.27s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   31 (   9   ~;   8   |;   7   &)
%                                         (   4 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    6 (   2 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,
    ( ( a
      & b )
   => ( a
    <=> b ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ( ( a
        & b )
     => ( a
      <=> b ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( a
    & b
    & ( a
    <~> b ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( a
    & b
    & ( a
      | b )
    & ( ~ a
      | ~ b ) ),
    inference(NNF_transformation,[status(esa)],[f3]) ).

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

fof(f6,plain,
    b,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f8,plain,
    ( ~ a
    | ~ b ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

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

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

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

fof(f14,plain,
    ( ~ b
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f12]) ).

fof(f16,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f8,f9,f12]) ).

fof(f17,plain,
    ( $false
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f11,f5]) ).

fof(f18,plain,
    spl0_0,
    inference(contradiction_clause,[status(thm)],[f17]) ).

fof(f19,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f14,f6]) ).

fof(f20,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f19]) ).

fof(f21,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f16,f18,f20]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : SYN978+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26  % Computer : n002.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Tue May 30 10:42:12 EDT 2023
% 0.07/0.26  % CPUTime  : 
% 0.07/0.26  % Drodi V3.5.1
% 0.07/0.27  % Refutation found
% 0.07/0.27  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.07/0.27  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.49  % Elapsed time: 0.011563 seconds
% 0.12/0.49  % CPU time: 0.017712 seconds
% 0.12/0.49  % Memory used: 1.790 MB
%------------------------------------------------------------------------------