Input TRS:
    1: a__zeros() -> cons(0(),zeros())
    2: a__and(tt(),X) -> mark(X)
    3: a__length(nil()) -> 0()
    4: a__length(cons(N,L)) -> s(a__length(mark(L)))
    5: a__take(0(),IL) -> nil()
    6: a__take(s(M),cons(N,IL)) -> cons(mark(N),take(M,IL))
    7: mark(zeros()) -> a__zeros()
    8: mark(and(X1,X2)) -> a__and(mark(X1),X2)
    9: mark(length(X)) -> a__length(mark(X))
    10: mark(take(X1,X2)) -> a__take(mark(X1),mark(X2))
    11: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    12: mark(0()) -> 0()
    13: mark(tt()) -> tt()
    14: mark(nil()) -> nil()
    15: mark(s(X)) -> s(mark(X))
    16: a__zeros() -> zeros()
    17: a__and(X1,X2) -> and(X1,X2)
    18: a__length(X) -> length(X)
    19: a__take(X1,X2) -> take(X1,X2)
Number of Rules: 19
Direct QLPOS ... failed.