(STRATEGY
    INNERMOST)

(VAR
    x y z)
(DATATYPES
    A = µX.< 0, s(X) >)
(SIGNATURES
    min :: [A x A] -> A
    max :: [A x A] -> A
    p :: [A] -> A
    f :: [A x A x A] -> A)
(RULES
    min(0(),y) -> 0()
    min(x,0()) -> 0()
    min(s(x),s(y)) -> s(min(x,y))
    max(0(),y) -> y
    max(x,0()) -> x
    max(s(x),s(y)) -> s(max(x,y))
    p(s(x)) -> x
    f(s(x),s(y),s(z)) -> f(max(s(x)
                              ,max(s(y),s(z)))
                          ,p(min(s(x),max(s(y),s(z))))
                          ,min(s(x),min(s(y),s(z))))
    f(0(),y,z) -> max(y,z)
    f(x,0(),z) -> max(x,z)
    f(x,y,0()) -> max(x,y))