(STRATEGY
    INNERMOST)

(VAR
    u x y z)
(DATATYPES
    A = µX.< j(X, X), h1(X, X), 0, s(X), h(X) >)
(SIGNATURES
    f :: [A x A] -> A
    g :: [A] -> A
    h2 :: [A x A x A] -> A
    i :: [A] -> A
    k :: [A] -> A)
(RULES
    f(j(x,y),y) -> g(f(x,k(y)))
    f(x,h1(y,z)) -> h2(0()
                      ,x
                      ,h1(y,z))
    g(h2(x,y,h1(z,u))) -> h2(s(x)
                            ,y
                            ,h1(z,u))
    h2(x,j(y,h1(z,u)),h1(z,u)) ->
      h2(s(x),y,h1(s(z),u))
    i(f(x,h(y))) -> y
    i(h2(s(x),y,h1(x,z))) -> z
    k(h(x)) -> h1(0(),x)
    k(h1(x,y)) -> h1(s(x),y))