(STRATEGY
    INNERMOST)

(VAR
    X X1 X2 Y Z)
(DATATYPES
    A = µX.< cons(X, X), from(X), s(X), 0, nil, first(X, X), sel(X, X) >)
(SIGNATURES
    a__from :: [A] -> A
    a__first :: [A x A] -> A
    a__sel :: [A x A] -> A
    mark :: [A] -> A)
(RULES
    a__from(X) -> cons(mark(X)
                      ,from(s(X)))
    a__first(0(),Z) -> nil()
    a__first(s(X),cons(Y,Z)) ->
      cons(mark(Y),first(X,Z))
    a__sel(0(),cons(X,Z)) -> mark(X)
    a__sel(s(X),cons(Y,Z)) ->
      a__sel(mark(X),mark(Z))
    mark(from(X)) ->
      a__from(mark(X))
    mark(first(X1,X2)) ->
      a__first(mark(X1),mark(X2))
    mark(sel(X1,X2)) ->
      a__sel(mark(X1),mark(X2))
    mark(cons(X1,X2)) ->
      cons(mark(X1),X2)
    mark(s(X)) -> s(mark(X))
    mark(0()) -> 0()
    mark(nil()) -> nil()
    a__from(X) -> from(X)
    a__first(X1,X2) -> first(X1,X2)
    a__sel(X1,X2) -> sel(X1,X2))