%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 12:32:05 EDT 2023

% Result   : Theorem 0.10s 0.48s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   34 (   9 unt;   0 def)
%            Number of atoms       :   59 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   44 (  19   ~;  17   |;   2   &)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   4 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    9 (;   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [A] :
      ( capital(A)
     => city(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    capital(washington),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    country(usa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X] :
      ( city(X)
     => has_crime(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    capital_city(usa) = washington,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X] :
      ( country(X)
     => beautiful(capital_city(X)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,conjecture,
    ( beautiful(washington)
    & has_crime(washington) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    ~ ( beautiful(washington)
      & has_crime(washington) ),
    inference(negated_conjecture,[status(cth)],[f11]) ).

fof(f17,plain,
    ! [A] :
      ( ~ capital(A)
      | city(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f3]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ capital(X0)
      | city(X0) ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f21,plain,
    capital(washington),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f22,plain,
    country(usa),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f25,plain,
    ! [X] :
      ( ~ city(X)
      | has_crime(X) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f26,plain,
    ! [X0] :
      ( ~ city(X0)
      | has_crime(X0) ),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f27,plain,
    capital_city(usa) = washington,
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f28,plain,
    ! [X] :
      ( ~ country(X)
      | beautiful(capital_city(X)) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f29,plain,
    ! [X0] :
      ( ~ country(X0)
      | beautiful(capital_city(X0)) ),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f30,plain,
    ( ~ beautiful(washington)
    | ~ has_crime(washington) ),
    inference(pre_NNF_transformation,[status(esa)],[f12]) ).

fof(f31,plain,
    ( ~ beautiful(washington)
    | ~ has_crime(washington) ),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f32,plain,
    ( spl0_0
  <=> beautiful(washington) ),
    introduced(split_symbol_definition) ).

fof(f35,plain,
    ( spl0_1
  <=> has_crime(washington) ),
    introduced(split_symbol_definition) ).

fof(f37,plain,
    ( ~ has_crime(washington)
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f35]) ).

fof(f38,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f31,f32,f35]) ).

fof(f39,plain,
    ( spl0_2
  <=> country(usa) ),
    introduced(split_symbol_definition) ).

fof(f41,plain,
    ( ~ country(usa)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f39]) ).

fof(f42,plain,
    ( ~ country(usa)
    | beautiful(washington) ),
    inference(paramodulation,[status(thm)],[f27,f29]) ).

fof(f43,plain,
    ( ~ spl0_2
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f42,f39,f32]) ).

fof(f44,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f41,f22]) ).

fof(f45,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f44]) ).

fof(f51,plain,
    ( ~ city(washington)
    | spl0_1 ),
    inference(resolution,[status(thm)],[f37,f26]) ).

fof(f52,plain,
    ( ~ capital(washington)
    | spl0_1 ),
    inference(resolution,[status(thm)],[f51,f18]) ).

fof(f53,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f52,f21]) ).

fof(f54,plain,
    spl0_1,
    inference(contradiction_clause,[status(thm)],[f53]) ).

fof(f55,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f38,f43,f45,f54]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem  : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26  % Computer : n015.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 300
% 0.06/0.26  % DateTime : Tue May 30 10:46:34 EDT 2023
% 0.06/0.26  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.10/0.48  % Refutation found
% 0.10/0.48  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.48  % Elapsed time: 0.009070 seconds
% 0.10/0.48  % CPU time: 0.017153 seconds
% 0.10/0.48  % Memory used: 8.993 MB
%------------------------------------------------------------------------------