TSTP Solution File: PUZ001-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : PUZ001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n005.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 12:31:43 EDT 2023

% Result   : Unsatisfiable 0.06s 0.26s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   51 (  11 unt;   0 def)
%            Number of atoms       :  100 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   95 (  46   ~;  43   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   7 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   17 (;  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,hypothesis,
    lives(butler),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,hypothesis,
    ! [X,Y] :
      ( ~ killed(X,Y)
      | ~ richer(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,hypothesis,
    ! [X] :
      ( ~ hates(agatha,X)
      | ~ hates(charles,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,hypothesis,
    ! [X] :
      ( ~ hates(X,agatha)
      | ~ hates(X,butler)
      | ~ hates(X,charles) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,hypothesis,
    hates(agatha,agatha),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,hypothesis,
    hates(agatha,charles),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,hypothesis,
    ! [X,Y] :
      ( ~ killed(X,Y)
      | hates(X,Y) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,hypothesis,
    ! [X] :
      ( ~ hates(agatha,X)
      | hates(butler,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,hypothesis,
    ! [X] :
      ( ~ lives(X)
      | richer(X,agatha)
      | hates(butler,X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,negated_conjecture,
    ( killed(butler,agatha)
    | killed(charles,agatha) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,plain,
    lives(butler),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ killed(X0,X1)
      | ~ richer(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ hates(agatha,X0)
      | ~ hates(charles,X0) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ hates(X0,agatha)
      | ~ hates(X0,butler)
      | ~ hates(X0,charles) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f19,plain,
    hates(agatha,agatha),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f20,plain,
    hates(agatha,charles),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ killed(X0,X1)
      | hates(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f22,plain,
    ! [X0] :
      ( ~ hates(agatha,X0)
      | hates(butler,X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ lives(X0)
      | richer(X0,agatha)
      | hates(butler,X0) ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f24,plain,
    ( killed(butler,agatha)
    | killed(charles,agatha) ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f25,plain,
    ( spl0_0
  <=> killed(butler,agatha) ),
    introduced(split_symbol_definition) ).

fof(f26,plain,
    ( killed(butler,agatha)
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f25]) ).

fof(f28,plain,
    ( spl0_1
  <=> killed(charles,agatha) ),
    introduced(split_symbol_definition) ).

fof(f29,plain,
    ( killed(charles,agatha)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f28]) ).

fof(f31,plain,
    ( spl0_0
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f24,f25,f28]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ hates(agatha,X0)
      | ~ killed(charles,X0) ),
    inference(resolution,[status(thm)],[f17,f21]) ).

fof(f33,plain,
    ( spl0_2
  <=> hates(butler,agatha) ),
    introduced(split_symbol_definition) ).

fof(f35,plain,
    ( ~ hates(butler,agatha)
    | spl0_2 ),
    inference(component_clause,[status(thm)],[f33]) ).

fof(f36,plain,
    ( spl0_3
  <=> hates(butler,charles) ),
    introduced(split_symbol_definition) ).

fof(f38,plain,
    ( ~ hates(butler,charles)
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f36]) ).

fof(f45,plain,
    ( spl0_5
  <=> lives(butler) ),
    introduced(split_symbol_definition) ).

fof(f47,plain,
    ( ~ lives(butler)
    | spl0_5 ),
    inference(component_clause,[status(thm)],[f45]) ).

fof(f48,plain,
    ( spl0_6
  <=> richer(butler,agatha) ),
    introduced(split_symbol_definition) ).

fof(f49,plain,
    ( richer(butler,agatha)
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f48]) ).

fof(f51,plain,
    ( ~ lives(butler)
    | richer(butler,agatha)
    | ~ hates(butler,agatha)
    | ~ hates(butler,charles) ),
    inference(resolution,[status(thm)],[f23,f18]) ).

fof(f52,plain,
    ( ~ spl0_5
    | spl0_6
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(split_clause,[status(thm)],[f51,f45,f48,f33,f36]) ).

fof(f53,plain,
    ( $false
    | spl0_5 ),
    inference(forward_subsumption_resolution,[status(thm)],[f47,f14]) ).

fof(f54,plain,
    spl0_5,
    inference(contradiction_clause,[status(thm)],[f53]) ).

fof(f64,plain,
    ( ~ hates(agatha,charles)
    | spl0_3 ),
    inference(resolution,[status(thm)],[f38,f22]) ).

fof(f65,plain,
    ( $false
    | spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f64,f20]) ).

fof(f66,plain,
    spl0_3,
    inference(contradiction_clause,[status(thm)],[f65]) ).

fof(f75,plain,
    ( ~ hates(agatha,agatha)
    | spl0_2 ),
    inference(resolution,[status(thm)],[f35,f22]) ).

fof(f76,plain,
    ( $false
    | spl0_2 ),
    inference(forward_subsumption_resolution,[status(thm)],[f75,f19]) ).

fof(f77,plain,
    spl0_2,
    inference(contradiction_clause,[status(thm)],[f76]) ).

fof(f79,plain,
    ( ~ killed(butler,agatha)
    | ~ spl0_6 ),
    inference(resolution,[status(thm)],[f49,f16]) ).

fof(f80,plain,
    ( $false
    | ~ spl0_0
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f79,f26]) ).

fof(f81,plain,
    ( ~ spl0_0
    | ~ spl0_6 ),
    inference(contradiction_clause,[status(thm)],[f80]) ).

fof(f82,plain,
    ( ~ hates(agatha,agatha)
    | ~ spl0_1 ),
    inference(resolution,[status(thm)],[f29,f32]) ).

fof(f83,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[status(thm)],[f82,f19]) ).

fof(f84,plain,
    ~ spl0_1,
    inference(contradiction_clause,[status(thm)],[f83]) ).

fof(f85,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f31,f52,f54,f66,f77,f81,f84]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : PUZ001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.07  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25  % Computer : n005.cluster.edu
% 0.06/0.25  % Model    : x86_64 x86_64
% 0.06/0.25  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25  % Memory   : 8042.1875MB
% 0.06/0.25  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25  % CPULimit : 300
% 0.06/0.25  % WCLimit  : 300
% 0.06/0.25  % DateTime : Tue May 30 10:28:36 EDT 2023
% 0.06/0.25  % CPUTime  : 
% 0.06/0.26  % Drodi V3.5.1
% 0.06/0.26  % Refutation found
% 0.06/0.26  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.26  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.48  % Elapsed time: 0.006991 seconds
% 0.10/0.48  % CPU time: 0.019265 seconds
% 0.10/0.48  % Memory used: 1.876 MB
%------------------------------------------------------------------------------