(STRATEGY
    INNERMOST)

(VAR
    x y)
(DATATYPES
    A = µX.< 0, false, s(X), true >)
(SIGNATURES
    nonZero :: [A] -> A
    p :: [A] -> A
    id_inc :: [A] -> A
    random :: [A] -> A
    rand :: [A x A] -> A
    if :: [A x A x A] -> A)
(RULES
    nonZero(0()) -> false()
    nonZero(s(x)) -> true()
    p(s(0())) -> 0()
    p(s(s(x))) -> s(p(s(x)))
    id_inc(x) -> x
    id_inc(x) -> s(x)
    random(x) -> rand(x,0())
    rand(x,y) -> if(nonZero(x),x,y)
    if(false(),x,y) -> y
    if(true(),x,y) -> rand(p(x)
                          ,id_inc(y)))