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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : PUZ061+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n023.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 : Fri Jul 25 01:24:34 PM UTC 2025

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   55 (   0 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :   51 (  11   ~;   8   |;  20   &)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   33 (   1 sgn  26   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_this,plain,
    ! [Peanuts,John,Bill,Sue,Apples,Chicken] :
      ( ( ! [X,Y] :
            ( ( alive(Y)
              & eats(Y,Chicken) )
           => likes(Y,X) )
        & ! [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',prove_this) ).

fof(prove_this_negated,plain,
    ~ ! [Peanuts,John,Bill,Sue,Apples,Chicken] :
        ( ( ! [X,Y] :
              ( ( alive(Y)
                & eats(Y,Chicken) )
             => likes(Y,X) )
          & ! [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(negate_conjecture,[status(cth)],[prove_this]) ).

cnf(5,plain,
    eats(sK3,sK1),
    inference(cnf,[status(esa)],[prove_this_negated]) ).

cnf(l0,plain,
    eats(sK3,sK1),
    inference(instantiation,[status(thm)],[5]) ).

cnf(4,plain,
    ( ~ not_killed_by(X0,X1)
    | ~ eats(X0,X1)
    | food(X1) ),
    inference(cnf,[status(esa)],[prove_this_negated]) ).

cnf(l1,plain,
    ( ~ not_killed_by(sK3,sK1)
    | ~ eats(sK3,sK1)
    | food(sK1) ),
    inference(instantiation,[status(thm)],[4]) ).

cnf(8,plain,
    ( ~ alive(X0)
    | not_killed_by(X0,X1) ),
    inference(cnf,[status(esa)],[prove_this_negated]) ).

cnf(l3,plain,
    ( ~ alive(sK3)
    | not_killed_by(sK3,sK1) ),
    inference(instantiation,[status(thm)],[8]) ).

cnf(1,plain,
    ( ~ food(X0)
    | likes(sK2,X0) ),
    inference(cnf,[status(esa)],[prove_this_negated]) ).

cnf(l4,plain,
    ( ~ food(sK1)
    | likes(sK2,sK1) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(6,plain,
    alive(sK3),
    inference(cnf,[status(esa)],[prove_this_negated]) ).

cnf(l5,plain,
    alive(sK3),
    inference(instantiation,[status(thm)],[6]) ).

cnf(9,plain,
    ~ likes(sK2,sK1),
    inference(cnf,[status(esa)],[prove_this_negated]) ).

cnf(l6,plain,
    ~ likes(sK2,sK1),
    inference(instantiation,[status(thm)],[9]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l4,l5,l6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PUZ061+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.12  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n023.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 : Mon Jul 21 16:04:19 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % launching worker at depth: 2
% 0.12/0.34  % launching worker at depth: 4
% 0.12/0.34  % launching worker at depth: 7
% 0.12/0.34  % launching worker at depth: 1
% 0.12/0.34  % launching worker at depth: 5
% 0.12/0.34  % launching worker at depth: 8
% 0.12/0.34  % launching worker at depth: 6
% 0.12/0.34  % launching worker at depth: 3
% 0.12/0.34  % SZS status Theorem for theBenchmark
% 0.12/0.34  % SZS output start CNFRefutation
% See solution above
% 0.12/0.34  % launching worker at depth: 9
%------------------------------------------------------------------------------