(STRATEGY
    INNERMOST)

(VAR
    X X1 X2 Y Z)
(DATATYPES
    A = µX.< n__first(X, X), n__from(X), n__s(X), nil1, cons1(X, X), n__0, 01, n__cons(X, X), n__nil, s1(X), n__sel(X, X) >)
(SIGNATURES
    sel :: [A x A] -> A
    first :: [A x A] -> A
    from :: [A] -> A
    sel1 :: [A x A] -> A
    first1 :: [A x A] -> A
    quote :: [A] -> A
    quote1 :: [A] -> A
    unquote :: [A] -> A
    unquote1 :: [A] -> A
    fcons :: [A x A] -> A
    s :: [A] -> A
    0 :: [] -> A
    cons :: [A x A] -> A
    nil :: [] -> A
    activate :: [A] -> A)
(RULES
    sel(s(X),cons(Y,Z)) -> sel(X
                              ,activate(Z))
    sel(0(),cons(X,Z)) -> X
    first(0(),Z) -> nil()
    first(s(X),cons(Y,Z)) -> cons(Y
                                 ,n__first(X,activate(Z)))
    from(X) -> cons(X
                   ,n__from(n__s(X)))
    sel1(s(X),cons(Y,Z)) -> sel1(X
                                ,activate(Z))
    sel1(0(),cons(X,Z)) -> quote(X)
    first1(0(),Z) -> nil1()
    first1(s(X),cons(Y,Z)) ->
      cons1(quote(Y)
           ,first1(X,activate(Z)))
    quote(n__0()) -> 01()
    quote1(n__cons(X,Z)) ->
      cons1(quote(activate(X))
           ,quote1(activate(Z)))
    quote1(n__nil()) -> nil1()
    quote(n__s(X)) ->
      s1(quote(activate(X)))
    quote(n__sel(X,Z)) ->
      sel1(activate(X),activate(Z))
    quote1(n__first(X,Z)) ->
      first1(activate(X),activate(Z))
    unquote(01()) -> 0()
    unquote(s1(X)) -> s(unquote(X))
    unquote1(nil1()) -> nil()
    unquote1(cons1(X,Z)) ->
      fcons(unquote(X),unquote1(Z))
    fcons(X,Z) -> cons(X,Z)
    first(X1,X2) -> n__first(X1,X2)
    from(X) -> n__from(X)
    s(X) -> n__s(X)
    0() -> n__0()
    cons(X1,X2) -> n__cons(X1,X2)
    nil() -> n__nil()
    sel(X1,X2) -> n__sel(X1,X2)
    activate(n__first(X1,X2)) ->
      first(activate(X1),activate(X2))
    activate(n__from(X)) ->
      from(activate(X))
    activate(n__s(X)) ->
      s(activate(X))
    activate(n__0()) -> 0()
    activate(n__cons(X1,X2)) ->
      cons(activate(X1),X2)
    activate(n__nil()) -> nil()
    activate(n__sel(X1,X2)) ->
      sel(activate(X1),activate(X2))
    activate(X) -> X)