(VAR L X X1 X2 Y )
(RULES 
        eq(n__0, n__0) -> true
        eq(n__s(X), n__s(Y)) -> eq(activate(X), activate(Y))
        eq(X, Y) -> false
        inf(X) -> cons(X, n__inf(n__s(X)))
        take(0, X) -> nil
        take(s(X), cons(Y, L)) -> cons(activate(Y), n__take(activate(X), activate(L)))
        length(nil) -> 0
        length(cons(X, L)) -> s(n__length(activate(L)))
        0 -> n__0
        s(X) -> n__s(X)
        inf(X) -> n__inf(X)
        take(X1, X2) -> n__take(X1, X2)
        length(X) -> n__length(X)
        activate(n__0) -> 0
        activate(n__s(X)) -> s(X)
        activate(n__inf(X)) -> inf(activate(X))
        activate(n__take(X1, X2)) -> take(activate(X1), activate(X2))
        activate(n__length(X)) -> length(activate(X))
        activate(X) -> X
        
)