(STRATEGY
    INNERMOST)

(VAR
    IL L M N X X1 X2 X3 X4)
(DATATYPES
    A = µX.< cons(X, X), 0, zeros, tt, s(X), take(X, X), nil, U11(X, X), U12(X, X), length(X), U21(X, X, X, X), U22(X, X, X, X), U23(X, X, X, X) >)
(SIGNATURES
    a__zeros :: [] -> A
    a__U11 :: [A x A] -> A
    a__U12 :: [A x A] -> A
    a__U21 :: [A x A x A x A] -> A
    a__U22 :: [A x A x A x A] -> A
    a__U23 :: [A x A x A x A] -> A
    a__length :: [A] -> A
    a__take :: [A x A] -> A
    mark :: [A] -> A)
(RULES
    a__zeros() -> cons(0(),zeros())
    a__U11(tt(),L) -> a__U12(tt(),L)
    a__U12(tt(),L) ->
      s(a__length(mark(L)))
    a__U21(tt(),IL,M,N) ->
      a__U22(tt(),IL,M,N)
    a__U22(tt(),IL,M,N) ->
      a__U23(tt(),IL,M,N)
    a__U23(tt(),IL,M,N) ->
      cons(mark(N),take(M,IL))
    a__length(nil()) -> 0()
    a__length(cons(N,L)) ->
      a__U11(tt(),L)
    a__take(0(),IL) -> nil()
    a__take(s(M),cons(N,IL)) ->
      a__U21(tt(),IL,M,N)
    mark(zeros()) -> a__zeros()
    mark(U11(X1,X2)) ->
      a__U11(mark(X1),X2)
    mark(U12(X1,X2)) ->
      a__U12(mark(X1),X2)
    mark(length(X)) ->
      a__length(mark(X))
    mark(U21(X1,X2,X3,X4)) ->
      a__U21(mark(X1),X2,X3,X4)
    mark(U22(X1,X2,X3,X4)) ->
      a__U22(mark(X1),X2,X3,X4)
    mark(U23(X1,X2,X3,X4)) ->
      a__U23(mark(X1),X2,X3,X4)
    mark(take(X1,X2)) ->
      a__take(mark(X1),mark(X2))
    mark(cons(X1,X2)) ->
      cons(mark(X1),X2)
    mark(0()) -> 0()
    mark(tt()) -> tt()
    mark(s(X)) -> s(mark(X))
    mark(nil()) -> nil()
    a__zeros() -> zeros()
    a__U11(X1,X2) -> U11(X1,X2)
    a__U12(X1,X2) -> U12(X1,X2)
    a__length(X) -> length(X)
    a__U21(X1,X2,X3,X4) -> U21(X1
                              ,X2
                              ,X3
                              ,X4)
    a__U22(X1,X2,X3,X4) -> U22(X1
                              ,X2
                              ,X3
                              ,X4)
    a__U23(X1,X2,X3,X4) -> U23(X1
                              ,X2
                              ,X3
                              ,X4)
    a__take(X1,X2) -> take(X1,X2))