TSTP Solution File: PUZ130+1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n010.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 12:32:04 EDT 2023

% Result   : Theorem 0.09s 0.30s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   61 (  19 unt;   0 def)
%            Number of atoms       :  133 (  15 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  128 (  56   ~;  56   |;   3   &)
%                                         (   8 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   7 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   26 (;  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    cat(garfield),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    dog(odie),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A] :
      ( dog(A)
     => pet(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A] :
      ( cat(A)
     => pet(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    human(jon),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    owner(jon,odie),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    owner(jon,garfield),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X,Y] :
      ( ( cat(X)
        & dog(Y) )
     => ( chased(Y,X)
       => hates(owner_of(X),owner_of(Y)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X,Y] :
      ( ( human(X)
        & pet(Y) )
     => ( owner(X,Y)
      <=> X = owner_of(Y) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    chased(odie,garfield),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f19,conjecture,
    hates(jon,jon),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f20,negated_conjecture,
    ~ hates(jon,jon),
    inference(negated_conjecture,[status(cth)],[f19]) ).

fof(f23,plain,
    cat(garfield),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f26,plain,
    dog(odie),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f29,plain,
    ! [A] :
      ( ~ dog(A)
      | pet(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f6]) ).

fof(f30,plain,
    ! [X0] :
      ( ~ dog(X0)
      | pet(X0) ),
    inference(cnf_transformation,[status(esa)],[f29]) ).

fof(f31,plain,
    ! [A] :
      ( ~ cat(A)
      | pet(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f7]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ cat(X0)
      | pet(X0) ),
    inference(cnf_transformation,[status(esa)],[f31]) ).

fof(f35,plain,
    human(jon),
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f42,plain,
    owner(jon,odie),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f43,plain,
    owner(jon,garfield),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f54,plain,
    ! [X,Y] :
      ( ~ cat(X)
      | ~ dog(Y)
      | ~ chased(Y,X)
      | hates(owner_of(X),owner_of(Y)) ),
    inference(pre_NNF_transformation,[status(esa)],[f16]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( ~ cat(X0)
      | ~ dog(X1)
      | ~ chased(X1,X0)
      | hates(owner_of(X0),owner_of(X1)) ),
    inference(cnf_transformation,[status(esa)],[f54]) ).

fof(f56,plain,
    ! [X,Y] :
      ( ~ human(X)
      | ~ pet(Y)
      | ( owner(X,Y)
      <=> X = owner_of(Y) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f17]) ).

fof(f57,plain,
    ! [X,Y] :
      ( ~ human(X)
      | ~ pet(Y)
      | ( ( ~ owner(X,Y)
          | X = owner_of(Y) )
        & ( owner(X,Y)
          | X != owner_of(Y) ) ) ),
    inference(NNF_transformation,[status(esa)],[f56]) ).

fof(f58,plain,
    ! [X0,X1] :
      ( ~ human(X0)
      | ~ pet(X1)
      | ~ owner(X0,X1)
      | X0 = owner_of(X1) ),
    inference(cnf_transformation,[status(esa)],[f57]) ).

fof(f60,plain,
    chased(odie,garfield),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f61,plain,
    ~ hates(jon,jon),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f86,plain,
    ! [X0,X1] :
      ( ~ human(X0)
      | ~ owner(X0,X1)
      | X0 = owner_of(X1)
      | ~ cat(X1) ),
    inference(resolution,[status(thm)],[f58,f32]) ).

fof(f87,plain,
    ! [X0,X1] :
      ( ~ human(X0)
      | ~ owner(X0,X1)
      | X0 = owner_of(X1)
      | ~ dog(X1) ),
    inference(resolution,[status(thm)],[f58,f30]) ).

fof(f100,plain,
    ! [X0] :
      ( ~ human(X0)
      | ~ owner(X0,garfield)
      | X0 = owner_of(garfield) ),
    inference(resolution,[status(thm)],[f86,f23]) ).

fof(f113,plain,
    ( spl0_12
  <=> human(jon) ),
    introduced(split_symbol_definition) ).

fof(f115,plain,
    ( ~ human(jon)
    | spl0_12 ),
    inference(component_clause,[status(thm)],[f113]) ).

fof(f116,plain,
    ( spl0_13
  <=> jon = owner_of(garfield) ),
    introduced(split_symbol_definition) ).

fof(f117,plain,
    ( jon = owner_of(garfield)
    | ~ spl0_13 ),
    inference(component_clause,[status(thm)],[f116]) ).

fof(f119,plain,
    ( ~ human(jon)
    | jon = owner_of(garfield) ),
    inference(resolution,[status(thm)],[f100,f43]) ).

fof(f120,plain,
    ( ~ spl0_12
    | spl0_13 ),
    inference(split_clause,[status(thm)],[f119,f113,f116]) ).

fof(f121,plain,
    ( $false
    | spl0_12 ),
    inference(forward_subsumption_resolution,[status(thm)],[f115,f35]) ).

fof(f122,plain,
    spl0_12,
    inference(contradiction_clause,[status(thm)],[f121]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ human(X0)
      | ~ owner(X0,odie)
      | X0 = owner_of(odie) ),
    inference(resolution,[status(thm)],[f87,f26]) ).

fof(f147,plain,
    ( spl0_20
  <=> jon = owner_of(odie) ),
    introduced(split_symbol_definition) ).

fof(f148,plain,
    ( jon = owner_of(odie)
    | ~ spl0_20 ),
    inference(component_clause,[status(thm)],[f147]) ).

fof(f150,plain,
    ( ~ human(jon)
    | jon = owner_of(odie) ),
    inference(resolution,[status(thm)],[f134,f42]) ).

fof(f151,plain,
    ( ~ spl0_12
    | spl0_20 ),
    inference(split_clause,[status(thm)],[f150,f113,f147]) ).

fof(f170,plain,
    ( spl0_24
  <=> cat(garfield) ),
    introduced(split_symbol_definition) ).

fof(f172,plain,
    ( ~ cat(garfield)
    | spl0_24 ),
    inference(component_clause,[status(thm)],[f170]) ).

fof(f173,plain,
    ( spl0_25
  <=> hates(owner_of(garfield),owner_of(odie)) ),
    introduced(split_symbol_definition) ).

fof(f174,plain,
    ( hates(owner_of(garfield),owner_of(odie))
    | ~ spl0_25 ),
    inference(component_clause,[status(thm)],[f173]) ).

fof(f178,plain,
    ( $false
    | spl0_24 ),
    inference(forward_subsumption_resolution,[status(thm)],[f172,f23]) ).

fof(f179,plain,
    spl0_24,
    inference(contradiction_clause,[status(thm)],[f178]) ).

fof(f264,plain,
    ( spl0_29
  <=> dog(odie) ),
    introduced(split_symbol_definition) ).

fof(f266,plain,
    ( ~ dog(odie)
    | spl0_29 ),
    inference(component_clause,[status(thm)],[f264]) ).

fof(f267,plain,
    ( ~ cat(garfield)
    | ~ dog(odie)
    | hates(owner_of(garfield),owner_of(odie)) ),
    inference(resolution,[status(thm)],[f55,f60]) ).

fof(f268,plain,
    ( ~ spl0_24
    | ~ spl0_29
    | spl0_25 ),
    inference(split_clause,[status(thm)],[f267,f170,f264,f173]) ).

fof(f269,plain,
    ( hates(jon,owner_of(odie))
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f117,f174]) ).

fof(f270,plain,
    ( hates(jon,jon)
    | ~ spl0_20
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_demodulation,[status(thm)],[f148,f269]) ).

fof(f271,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(forward_subsumption_resolution,[status(thm)],[f270,f61]) ).

fof(f272,plain,
    ( ~ spl0_20
    | ~ spl0_13
    | ~ spl0_25 ),
    inference(contradiction_clause,[status(thm)],[f271]) ).

fof(f273,plain,
    ( $false
    | spl0_29 ),
    inference(forward_subsumption_resolution,[status(thm)],[f266,f26]) ).

fof(f274,plain,
    spl0_29,
    inference(contradiction_clause,[status(thm)],[f273]) ).

fof(f275,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f120,f122,f151,f179,f268,f272,f274]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem  : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29  % Computer : n010.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Tue May 30 10:20:22 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  % Drodi V3.5.1
% 0.09/0.30  % Refutation found
% 0.09/0.30  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.30  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.51  % Elapsed time: 0.010309 seconds
% 0.14/0.51  % CPU time: 0.012183 seconds
% 0.14/0.51  % Memory used: 2.950 MB
%------------------------------------------------------------------------------