Input TRS:
    1: active(incr(nil())) -> mark(nil())
    2: active(incr(cons(X,L))) -> mark(cons(s(X),incr(L)))
    3: active(adx(nil())) -> mark(nil())
    4: active(adx(cons(X,L))) -> mark(incr(cons(X,adx(L))))
    5: active(nats()) -> mark(adx(zeros()))
    6: active(zeros()) -> mark(cons(0(),zeros()))
    7: active(head(cons(X,L))) -> mark(X)
    8: active(tail(cons(X,L))) -> mark(L)
    9: active(incr(X)) -> incr(active(X))
    10: active(cons(X1,X2)) -> cons(active(X1),X2)
    11: active(s(X)) -> s(active(X))
    12: active(adx(X)) -> adx(active(X))
    13: active(head(X)) -> head(active(X))
    14: active(tail(X)) -> tail(active(X))
    15: incr(mark(X)) -> mark(incr(X))
    16: cons(mark(X1),X2) -> mark(cons(X1,X2))
    17: s(mark(X)) -> mark(s(X))
    18: adx(mark(X)) -> mark(adx(X))
    19: head(mark(X)) -> mark(head(X))
    20: tail(mark(X)) -> mark(tail(X))
    21: proper(incr(X)) -> incr(proper(X))
    22: proper(nil()) -> ok(nil())
    23: proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
    24: proper(s(X)) -> s(proper(X))
    25: proper(adx(X)) -> adx(proper(X))
    26: proper(nats()) -> ok(nats())
    27: proper(zeros()) -> ok(zeros())
    28: proper(0()) -> ok(0())
    29: proper(head(X)) -> head(proper(X))
    30: proper(tail(X)) -> tail(proper(X))
    31: incr(ok(X)) -> ok(incr(X))
    32: cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
    33: s(ok(X)) -> ok(s(X))
    34: adx(ok(X)) -> ok(adx(X))
    35: head(ok(X)) -> ok(head(X))
    36: tail(ok(X)) -> ok(tail(X))
    37: top(mark(X)) -> top(proper(X))
    38: top(ok(X)) -> top(active(X))
Number of Rules: 38
Direct QWPOS(mSum) ... failed.