TSTP Solution File: PUZ001-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : PUZ001-2 : TPTP v8.1.2. Released v1.0.0.
% 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 12:31:43 EDT 2023

% Result   : Unsatisfiable 0.18s 0.35s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   57 (  18 unt;   0 def)
%            Number of atoms       :  103 (  23 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   98 (  52   ~;  42   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   23 (;  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    lives_at_dreadsbury(someone),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    killed(someone,aunt_agatha),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [Person] :
      ( ~ lives_at_dreadsbury(Person)
      | Person = aunt_agatha
      | Person = butler
      | Person = charles ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [Killer,Victim] :
      ( ~ killed(Killer,Victim)
      | hates(Killer,Victim) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [Killer,Victim] :
      ( ~ killed(Killer,Victim)
      | ~ richer(Killer,Victim) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [Person] :
      ( ~ hates(aunt_agatha,Person)
      | ~ hates(charles,Person) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [Person] :
      ( Person = butler
      | hates(aunt_agatha,Person) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [Person] :
      ( richer(Person,aunt_agatha)
      | hates(butler,Person) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [Person] :
      ( ~ hates(aunt_agatha,Person)
      | hates(butler,Person) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [Person] : ~ hates(Person,every_one_but(Person)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    aunt_agatha != butler,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    ~ killed(aunt_agatha,aunt_agatha),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,plain,
    lives_at_dreadsbury(someone),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f17,plain,
    killed(someone,aunt_agatha),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f21,plain,
    ! [X0] :
      ( ~ lives_at_dreadsbury(X0)
      | X0 = aunt_agatha
      | X0 = butler
      | X0 = charles ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( ~ killed(X0,X1)
      | hates(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( ~ killed(X0,X1)
      | ~ richer(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ hates(aunt_agatha,X0)
      | ~ hates(charles,X0) ),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f25,plain,
    ! [X0] :
      ( X0 = butler
      | hates(aunt_agatha,X0) ),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f26,plain,
    ! [X0] :
      ( richer(X0,aunt_agatha)
      | hates(butler,X0) ),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f27,plain,
    ! [X0] :
      ( ~ hates(aunt_agatha,X0)
      | hates(butler,X0) ),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f28,plain,
    ! [X0] : ~ hates(X0,every_one_but(X0)),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f29,plain,
    aunt_agatha != butler,
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f30,plain,
    ~ killed(aunt_agatha,aunt_agatha),
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ hates(aunt_agatha,X0)
      | ~ killed(charles,X0) ),
    inference(resolution,[status(thm)],[f24,f22]) ).

fof(f48,plain,
    ( spl0_3
  <=> butler = aunt_agatha ),
    introduced(split_symbol_definition) ).

fof(f49,plain,
    ( butler = aunt_agatha
    | ~ spl0_3 ),
    inference(component_clause,[status(thm)],[f48]) ).

fof(f61,plain,
    ( spl0_6
  <=> someone = aunt_agatha ),
    introduced(split_symbol_definition) ).

fof(f62,plain,
    ( someone = aunt_agatha
    | ~ spl0_6 ),
    inference(component_clause,[status(thm)],[f61]) ).

fof(f64,plain,
    ( spl0_7
  <=> someone = butler ),
    introduced(split_symbol_definition) ).

fof(f65,plain,
    ( someone = butler
    | ~ spl0_7 ),
    inference(component_clause,[status(thm)],[f64]) ).

fof(f67,plain,
    ( spl0_8
  <=> someone = charles ),
    introduced(split_symbol_definition) ).

fof(f68,plain,
    ( someone = charles
    | ~ spl0_8 ),
    inference(component_clause,[status(thm)],[f67]) ).

fof(f70,plain,
    ( someone = aunt_agatha
    | someone = butler
    | someone = charles ),
    inference(resolution,[status(thm)],[f21,f16]) ).

fof(f71,plain,
    ( spl0_6
    | spl0_7
    | spl0_8 ),
    inference(split_clause,[status(thm)],[f70,f61,f64,f67]) ).

fof(f72,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[status(thm)],[f49,f29]) ).

fof(f73,plain,
    ~ spl0_3,
    inference(contradiction_clause,[status(thm)],[f72]) ).

fof(f74,plain,
    ! [X0] :
      ( hates(butler,X0)
      | ~ killed(X0,aunt_agatha) ),
    inference(resolution,[status(thm)],[f26,f23]) ).

fof(f75,plain,
    ~ hates(aunt_agatha,every_one_but(butler)),
    inference(resolution,[status(thm)],[f27,f28]) ).

fof(f76,plain,
    every_one_but(butler) = butler,
    inference(resolution,[status(thm)],[f75,f25]) ).

fof(f80,plain,
    ~ hates(butler,butler),
    inference(paramodulation,[status(thm)],[f76,f28]) ).

fof(f84,plain,
    hates(butler,someone),
    inference(resolution,[status(thm)],[f74,f17]) ).

fof(f104,plain,
    ! [X0] :
      ( ~ hates(aunt_agatha,X0)
      | ~ killed(someone,X0)
      | ~ spl0_8 ),
    inference(backward_demodulation,[status(thm)],[f68,f36]) ).

fof(f108,plain,
    ( ~ hates(aunt_agatha,aunt_agatha)
    | ~ spl0_8 ),
    inference(resolution,[status(thm)],[f104,f17]) ).

fof(f109,plain,
    ( aunt_agatha = butler
    | ~ spl0_8 ),
    inference(resolution,[status(thm)],[f108,f25]) ).

fof(f110,plain,
    ( spl0_3
    | ~ spl0_8 ),
    inference(split_clause,[status(thm)],[f109,f48,f67]) ).

fof(f113,plain,
    ( ~ killed(aunt_agatha,someone)
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f62,f30]) ).

fof(f114,plain,
    ( ~ killed(someone,someone)
    | ~ spl0_6 ),
    inference(forward_demodulation,[status(thm)],[f62,f113]) ).

fof(f123,plain,
    ( killed(someone,someone)
    | ~ spl0_6 ),
    inference(backward_demodulation,[status(thm)],[f62,f17]) ).

fof(f129,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[status(thm)],[f123,f114]) ).

fof(f130,plain,
    ~ spl0_6,
    inference(contradiction_clause,[status(thm)],[f129]) ).

fof(f139,plain,
    ( hates(someone,someone)
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f65,f84]) ).

fof(f140,plain,
    ( ~ hates(butler,someone)
    | ~ spl0_7 ),
    inference(backward_demodulation,[status(thm)],[f65,f80]) ).

fof(f141,plain,
    ( ~ hates(someone,someone)
    | ~ spl0_7 ),
    inference(forward_demodulation,[status(thm)],[f65,f140]) ).

fof(f148,plain,
    ( $false
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[status(thm)],[f141,f139]) ).

fof(f149,plain,
    ~ spl0_7,
    inference(contradiction_clause,[status(thm)],[f148]) ).

fof(f150,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f71,f73,f110,f130,f149]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : PUZ001-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n028.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 10:44:47 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.18/0.34  % Drodi V3.5.1
% 0.18/0.35  % Refutation found
% 0.18/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.57  % Elapsed time: 0.022451 seconds
% 0.18/0.57  % CPU time: 0.034176 seconds
% 0.18/0.57  % Memory used: 11.481 MB
%------------------------------------------------------------------------------