%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 12:31:56 EDT 2023

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :   14 (   5 avg)
%            Number of connectives :   95 (  25   ~;  20   |;  40   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   61 (;  47   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ! [Peanuts,John,Bill,Sue,Apples,Chicken] :
      ( ( ! [X] :
            ( food(X)
           => likes(John,X) )
        & food(Apples)
        & food(Chicken)
        & ! [X] :
            ( ? [Y] :
                ( eats(Y,X)
                & not_killed_by(Y,X) )
           => food(X) )
        & eats(Bill,Peanuts)
        & alive(Bill)
        & ! [X] :
            ( eats(Bill,X)
           => eats(Sue,X) )
        & ! [Y] :
            ( alive(Y)
           => ! [X] : not_killed_by(Y,X) ) )
     => likes(John,Peanuts) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ! [Peanuts,John,Bill,Sue,Apples,Chicken] :
        ( ( ! [X] :
              ( food(X)
             => likes(John,X) )
          & food(Apples)
          & food(Chicken)
          & ! [X] :
              ( ? [Y] :
                  ( eats(Y,X)
                  & not_killed_by(Y,X) )
             => food(X) )
          & eats(Bill,Peanuts)
          & alive(Bill)
          & ! [X] :
              ( eats(Bill,X)
             => eats(Sue,X) )
          & ! [Y] :
              ( alive(Y)
             => ! [X] : not_killed_by(Y,X) ) )
       => likes(John,Peanuts) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ? [Peanuts,John,Bill,Sue,Apples,Chicken] :
      ( ! [X] :
          ( ~ food(X)
          | likes(John,X) )
      & food(Apples)
      & food(Chicken)
      & ! [X] :
          ( ! [Y] :
              ( ~ eats(Y,X)
              | ~ not_killed_by(Y,X) )
          | food(X) )
      & eats(Bill,Peanuts)
      & alive(Bill)
      & ! [X] :
          ( ~ eats(Bill,X)
          | eats(Sue,X) )
      & ! [Y] :
          ( ~ alive(Y)
          | ! [X] : not_killed_by(Y,X) )
      & ~ likes(John,Peanuts) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ? [Peanuts,John] :
      ( ? [Bill] :
          ( ! [X] :
              ( ~ food(X)
              | likes(John,X) )
          & ? [Apples] : food(Apples)
          & ? [Chicken] : food(Chicken)
          & ! [X] :
              ( ! [Y] :
                  ( ~ eats(Y,X)
                  | ~ not_killed_by(Y,X) )
              | food(X) )
          & eats(Bill,Peanuts)
          & alive(Bill)
          & ? [Sue] :
            ! [X] :
              ( ~ eats(Bill,X)
              | eats(Sue,X) ) )
      & ! [Y] :
          ( ~ alive(Y)
          | ! [X] : not_killed_by(Y,X) )
      & ~ likes(John,Peanuts) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f5,plain,
    ( ! [X] :
        ( ~ food(X)
        | likes(sk0_1,X) )
    & food(sk0_3)
    & food(sk0_4)
    & ! [X] :
        ( ! [Y] :
            ( ~ eats(Y,X)
            | ~ not_killed_by(Y,X) )
        | food(X) )
    & eats(sk0_2,sk0_0)
    & alive(sk0_2)
    & ! [X] :
        ( ~ eats(sk0_2,X)
        | eats(sk0_5,X) )
    & ! [Y] :
        ( ~ alive(Y)
        | ! [X] : not_killed_by(Y,X) )
    & ~ likes(sk0_1,sk0_0) ),
    inference(skolemization,[status(esa)],[f4]) ).

fof(f6,plain,
    ! [X0] :
      ( ~ food(X0)
      | likes(sk0_1,X0) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( ~ eats(X0,X1)
      | ~ not_killed_by(X0,X1)
      | food(X1) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f10,plain,
    eats(sk0_2,sk0_0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f11,plain,
    alive(sk0_2),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ~ alive(X0)
      | not_killed_by(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f14,plain,
    ~ likes(sk0_1,sk0_0),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f17,plain,
    ! [X0] : not_killed_by(sk0_2,X0),
    inference(resolution,[status(thm)],[f13,f11]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ eats(sk0_2,X0)
      | food(X0) ),
    inference(resolution,[status(thm)],[f9,f17]) ).

fof(f20,plain,
    food(sk0_0),
    inference(resolution,[status(thm)],[f19,f10]) ).

fof(f21,plain,
    likes(sk0_1,sk0_0),
    inference(resolution,[status(thm)],[f20,f6]) ).

fof(f22,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f21,f14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ060+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:30:12 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.57  % Elapsed time: 0.014250 seconds
% 0.20/0.57  % CPU time: 0.026098 seconds
% 0.20/0.57  % Memory used: 7.033 MB
%------------------------------------------------------------------------------