%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : HWV010-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 12:12:56 EDT 2023

% Result   : Unsatisfiable 0.20s 0.92s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (   3 unt;   0 def)
%            Number of atoms       :   43 (  15 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   38 (  18   ~;  18   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,axiom,
    ! [X_t_32] : level(X_t_32) = int_level(X_t_32),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    ! [X_t_35] :
      ( int_level(X_t_35) != n0
      | p_Empty(X_t_35) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [X_t_36] :
      ( int_level(X_t_36) = n0
      | ~ p_Empty(X_t_36) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f91,negated_conjecture,
    ( ~ p_Empty(t_139)
    | level(t_139) != n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f92,negated_conjecture,
    ( p_Empty(t_139)
    | level(t_139) = n0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f116,plain,
    ! [X0] : level(X0) = int_level(X0),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f119,plain,
    ! [X0] :
      ( int_level(X0) != n0
      | p_Empty(X0) ),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f120,plain,
    ! [X0] :
      ( int_level(X0) = n0
      | ~ p_Empty(X0) ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f188,plain,
    ( ~ p_Empty(t_139)
    | level(t_139) != n0 ),
    inference(cnf_transformation,[status(esa)],[f91]) ).

fof(f189,plain,
    ( p_Empty(t_139)
    | level(t_139) = n0 ),
    inference(cnf_transformation,[status(esa)],[f92]) ).

fof(f190,plain,
    ( spl0_0
  <=> p_Empty(t_139) ),
    introduced(split_symbol_definition) ).

fof(f193,plain,
    ( spl0_1
  <=> level(t_139) = n0 ),
    introduced(split_symbol_definition) ).

fof(f194,plain,
    ( level(t_139) = n0
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f193]) ).

fof(f195,plain,
    ( level(t_139) != n0
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f193]) ).

fof(f196,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f188,f190,f193]) ).

fof(f197,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f189,f190,f193]) ).

fof(f203,plain,
    ! [X0] :
      ( level(X0) != n0
      | p_Empty(X0) ),
    inference(forward_demodulation,[status(thm)],[f116,f119]) ).

fof(f204,plain,
    ! [X0] :
      ( level(X0) = n0
      | ~ p_Empty(X0) ),
    inference(forward_demodulation,[status(thm)],[f116,f120]) ).

fof(f320,plain,
    ( p_Empty(t_139)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f194,f203]) ).

fof(f321,plain,
    ( spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f320,f190,f193]) ).

fof(f339,plain,
    ( ~ p_Empty(t_139)
    | spl0_1 ),
    inference(resolution,[status(thm)],[f195,f204]) ).

fof(f340,plain,
    ( ~ spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f339,f190,f193]) ).

fof(f341,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f196,f197,f321,f340]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.63  % Problem  : HWV010-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.64  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.88  % Computer : n028.cluster.edu
% 0.14/0.88  % Model    : x86_64 x86_64
% 0.14/0.88  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.88  % Memory   : 8042.1875MB
% 0.14/0.88  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.88  % CPULimit : 300
% 0.14/0.88  % WCLimit  : 300
% 0.14/0.88  % DateTime : Tue May 30 12:06:18 EDT 2023
% 0.14/0.88  % CPUTime  : 
% 0.20/0.89  % Drodi V3.5.1
% 0.20/0.92  % Refutation found
% 0.20/0.92  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.92  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.92  % Elapsed time: 0.029346 seconds
% 0.20/0.92  % CPU time: 0.049617 seconds
% 0.20/0.92  % Memory used: 15.184 MB
%------------------------------------------------------------------------------