Input TRS:
    1: zeros() -> cons(0(),n__zeros())
    2: U11(tt(),L) -> U12(tt(),activate(L))
    3: U12(tt(),L) -> s(length(activate(L)))
    4: U21(tt(),IL,M,N) -> U22(tt(),activate(IL),activate(M),activate(N))
    5: U22(tt(),IL,M,N) -> U23(tt(),activate(IL),activate(M),activate(N))
    6: U23(tt(),IL,M,N) -> cons(activate(N),n__take(activate(M),activate(IL)))
    7: length(nil()) -> 0()
    8: length(cons(N,L)) -> U11(tt(),activate(L))
    9: take(0(),IL) -> nil()
    10: take(s(M),cons(N,IL)) -> U21(tt(),activate(IL),M,N)
    11: zeros() -> n__zeros()
    12: take(X1,X2) -> n__take(X1,X2)
    13: activate(n__zeros()) -> zeros()
    14: activate(n__take(X1,X2)) -> take(activate(X1),activate(X2))
    15: activate(X) -> X
Number of Rules: 15
Direct QKBOS(Sum) ... failed.