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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : PUZ047+1 : TPTP v9.0.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n020.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 01:24:32 PM UTC 2025

% Result   : Theorem 0.13s 0.34s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   20 (   5 unt;   0 def)
%            Number of atoms       :   91 (   0 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives :   87 (  16   ~;  13   |;  28   &)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    8 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-5 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-1 aty)
%            Number of variables   :   49 (   1 sgn  36   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thm100,plain,
    ( ( p(south,south,south,south,start)
      & ! [T] :
          ( p(south,north,south,north,T)
         => p(north,north,south,north,go_alone(T)) )
      & ! [T1] :
          ( p(north,north,south,north,T1)
         => p(south,north,south,north,go_alone(T1)) )
      & ! [T2] :
          ( p(south,south,north,south,T2)
         => p(north,south,north,south,go_alone(T2)) )
      & ! [T3] :
          ( p(north,south,north,south,T3)
         => p(south,south,north,south,go_alone(T3)) )
      & ! [T4] :
          ( p(south,south,south,north,T4)
         => p(north,north,south,north,take_wolf(T4)) )
      & ! [T5] :
          ( p(north,north,south,north,T5)
         => p(south,south,south,north,take_wolf(T5)) )
      & ! [T6] :
          ( p(south,south,north,south,T6)
         => p(north,north,north,south,take_wolf(T6)) )
      & ! [T7] :
          ( p(north,north,north,south,T7)
         => p(south,south,north,south,take_wolf(T7)) )
      & ! [X,Y,U] :
          ( p(south,X,south,Y,U)
         => p(north,X,north,Y,take_goat(U)) )
      & ! [X1,Y1,V] :
          ( p(north,X1,north,Y1,V)
         => p(south,X1,south,Y1,take_goat(V)) )
      & ! [T8] :
          ( p(south,north,south,south,T8)
         => p(north,north,south,north,take_cabbage(T8)) )
      & ! [T9] :
          ( p(north,north,south,north,T9)
         => p(south,north,south,south,take_cabbage(T9)) )
      & ! [U1] :
          ( p(south,south,north,south,U1)
         => p(north,south,north,north,take_cabbage(U1)) )
      & ! [V1] :
          ( p(north,south,north,north,V1)
         => p(south,south,north,south,take_cabbage(V1)) ) )
   => ? [Z] : p(north,north,north,north,Z) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100) ).

fof(thm100_negated,plain,
    ~ ( ( p(south,south,south,south,start)
        & ! [T] :
            ( p(south,north,south,north,T)
           => p(north,north,south,north,go_alone(T)) )
        & ! [T1] :
            ( p(north,north,south,north,T1)
           => p(south,north,south,north,go_alone(T1)) )
        & ! [T2] :
            ( p(south,south,north,south,T2)
           => p(north,south,north,south,go_alone(T2)) )
        & ! [T3] :
            ( p(north,south,north,south,T3)
           => p(south,south,north,south,go_alone(T3)) )
        & ! [T4] :
            ( p(south,south,south,north,T4)
           => p(north,north,south,north,take_wolf(T4)) )
        & ! [T5] :
            ( p(north,north,south,north,T5)
           => p(south,south,south,north,take_wolf(T5)) )
        & ! [T6] :
            ( p(south,south,north,south,T6)
           => p(north,north,north,south,take_wolf(T6)) )
        & ! [T7] :
            ( p(north,north,north,south,T7)
           => p(south,south,north,south,take_wolf(T7)) )
        & ! [X,Y,U] :
            ( p(south,X,south,Y,U)
           => p(north,X,north,Y,take_goat(U)) )
        & ! [X1,Y1,V] :
            ( p(north,X1,north,Y1,V)
           => p(south,X1,south,Y1,take_goat(V)) )
        & ! [T8] :
            ( p(south,north,south,south,T8)
           => p(north,north,south,north,take_cabbage(T8)) )
        & ! [T9] :
            ( p(north,north,south,north,T9)
           => p(south,north,south,south,take_cabbage(T9)) )
        & ! [U1] :
            ( p(south,south,north,south,U1)
           => p(north,south,north,north,take_cabbage(U1)) )
        & ! [V1] :
            ( p(north,south,north,north,V1)
           => p(south,south,north,south,take_cabbage(V1)) ) )
     => ? [Z] : p(north,north,north,north,Z) ),
    inference(negate_conjecture,[status(cth)],[thm100]) ).

cnf(0,plain,
    p(south,south,south,south,start),
    inference(cnf,[status(esa)],[thm100_negated]) ).

cnf(l0,plain,
    p(south,south,south,south,start),
    inference(instantiation,[status(thm)],[0]) ).

cnf(9,plain,
    ( ~ p(south,X0,south,X1,X2)
    | p(north,X0,north,X1,take_goat(X2)) ),
    inference(cnf,[status(esa)],[thm100_negated]) ).

cnf(l1,plain,
    ( ~ p(south,south,south,south,start)
    | p(north,south,north,south,take_goat(start)) ),
    inference(instantiation,[status(thm)],[9]) ).

cnf(4,plain,
    ( ~ p(north,south,north,south,X0)
    | p(south,south,north,south,go_alone(X0)) ),
    inference(cnf,[status(esa)],[thm100_negated]) ).

cnf(l2,plain,
    ( ~ p(north,south,north,south,take_goat(start))
    | p(south,south,north,south,go_alone(take_goat(start))) ),
    inference(instantiation,[status(thm)],[4]) ).

cnf(7,plain,
    ( ~ p(south,south,north,south,X0)
    | p(north,north,north,south,take_wolf(X0)) ),
    inference(cnf,[status(esa)],[thm100_negated]) ).

cnf(l3,plain,
    ( ~ p(south,south,north,south,go_alone(take_goat(start)))
    | p(north,north,north,south,take_wolf(go_alone(take_goat(start)))) ),
    inference(instantiation,[status(thm)],[7]) ).

cnf(10,plain,
    ( ~ p(north,X0,north,X1,X2)
    | p(south,X0,south,X1,take_goat(X2)) ),
    inference(cnf,[status(esa)],[thm100_negated]) ).

cnf(l4,plain,
    ( ~ p(north,north,north,south,take_wolf(go_alone(take_goat(start))))
    | p(south,north,south,south,take_goat(take_wolf(go_alone(take_goat(start))))) ),
    inference(instantiation,[status(thm)],[10]) ).

cnf(11,plain,
    ( ~ p(south,north,south,south,X0)
    | p(north,north,south,north,take_cabbage(X0)) ),
    inference(cnf,[status(esa)],[thm100_negated]) ).

cnf(l5,plain,
    ( ~ p(south,north,south,south,take_goat(take_wolf(go_alone(take_goat(start)))))
    | p(north,north,south,north,take_cabbage(take_goat(take_wolf(go_alone(take_goat(start)))))) ),
    inference(instantiation,[status(thm)],[11]) ).

cnf(2,plain,
    ( ~ p(north,north,south,north,X0)
    | p(south,north,south,north,go_alone(X0)) ),
    inference(cnf,[status(esa)],[thm100_negated]) ).

cnf(l6,plain,
    ( ~ p(north,north,south,north,take_cabbage(take_goat(take_wolf(go_alone(take_goat(start))))))
    | p(south,north,south,north,go_alone(take_cabbage(take_goat(take_wolf(go_alone(take_goat(start))))))) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l7,plain,
    ( ~ p(south,north,south,north,go_alone(take_cabbage(take_goat(take_wolf(go_alone(take_goat(start)))))))
    | p(north,north,north,north,take_goat(go_alone(take_cabbage(take_goat(take_wolf(go_alone(take_goat(start)))))))) ),
    inference(instantiation,[status(thm)],[9]) ).

cnf(15,plain,
    ~ p(north,north,north,north,X0),
    inference(cnf,[status(esa)],[thm100_negated]) ).

cnf(l8,plain,
    ~ p(north,north,north,north,take_goat(go_alone(take_cabbage(take_goat(take_wolf(go_alone(take_goat(start)))))))),
    inference(instantiation,[status(thm)],[15]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ047+1 : TPTP v9.0.0. Released v2.5.0.
% 0.11/0.12  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  % Computer : n020.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Mon Jul 21 15:56:34 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % launching worker at depth: 1
% 0.13/0.34  % launching worker at depth: 4
% 0.13/0.34  % launching worker at depth: 2
% 0.13/0.34  % launching worker at depth: 3
% 0.13/0.34  % launching worker at depth: 5
% 0.13/0.34  % launching worker at depth: 6
% 0.13/0.34  % launching worker at depth: 7
% 0.13/0.34  % launching worker at depth: 8
% 0.13/0.34  % launching worker at depth: 9
% 0.13/0.34  % launching worker at depth: 10
% 0.13/0.34  % launching worker at depth: 11
% 0.13/0.34  % launching worker at depth: 12
% 0.13/0.34  % launching worker at depth: 13
% 0.13/0.34  % launching worker at depth: 14
% 0.13/0.34  % launching worker at depth: 15
% 0.13/0.34  % SZS status Theorem for theBenchmark
% 0.13/0.34  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------