Input TRS:
    1: active(zeros()) -> mark(cons(0(),zeros()))
    2: active(and(tt(),X)) -> mark(X)
    3: active(length(nil())) -> mark(0())
    4: active(length(cons(N,L))) -> mark(s(length(L)))
    5: active(take(0(),IL)) -> mark(nil())
    6: active(take(s(M),cons(N,IL))) -> mark(cons(N,take(M,IL)))
    7: mark(zeros()) -> active(zeros())
    8: mark(cons(X1,X2)) -> active(cons(mark(X1),X2))
    9: mark(0()) -> active(0())
    10: mark(and(X1,X2)) -> active(and(mark(X1),X2))
    11: mark(tt()) -> active(tt())
    12: mark(length(X)) -> active(length(mark(X)))
    13: mark(nil()) -> active(nil())
    14: mark(s(X)) -> active(s(mark(X)))
    15: mark(take(X1,X2)) -> active(take(mark(X1),mark(X2)))
    16: cons(mark(X1),X2) -> cons(X1,X2)
    17: cons(X1,mark(X2)) -> cons(X1,X2)
    18: cons(active(X1),X2) -> cons(X1,X2)
    19: cons(X1,active(X2)) -> cons(X1,X2)
    20: and(mark(X1),X2) -> and(X1,X2)
    21: and(X1,mark(X2)) -> and(X1,X2)
    22: and(active(X1),X2) -> and(X1,X2)
    23: and(X1,active(X2)) -> and(X1,X2)
    24: length(mark(X)) -> length(X)
    25: length(active(X)) -> length(X)
    26: s(mark(X)) -> s(X)
    27: s(active(X)) -> s(X)
    28: take(mark(X1),X2) -> take(X1,X2)
    29: take(X1,mark(X2)) -> take(X1,X2)
    30: take(active(X1),X2) -> take(X1,X2)
    31: take(X1,active(X2)) -> take(X1,X2)
Number of Rules: 31
Direct QWPOS(mPol) ... failed.