Input TRS:
    1: f(0()) -> cons(0(),n__f(n__s(n__0())))
    2: f(s(0())) -> f(p(s(0())))
    3: p(s(0())) -> 0()
    4: f(X) -> n__f(X)
    5: s(X) -> n__s(X)
    6: 0() -> n__0()
    7: activate(n__f(X)) -> f(activate(X))
    8: activate(n__s(X)) -> s(activate(X))
    9: activate(n__0()) -> 0()
    10: activate(X) -> X
Number of Rules: 10
Direct QLPOS ... failed.