Input TRS:
    1: active(nats()) -> mark(adx(zeros()))
    2: active(zeros()) -> mark(cons(0(),zeros()))
    3: active(incr(cons(X,Y))) -> mark(cons(s(X),incr(Y)))
    4: active(adx(cons(X,Y))) -> mark(incr(cons(X,adx(Y))))
    5: active(hd(cons(X,Y))) -> mark(X)
    6: active(tl(cons(X,Y))) -> mark(Y)
    7: mark(nats()) -> active(nats())
    8: mark(adx(X)) -> active(adx(mark(X)))
    9: mark(zeros()) -> active(zeros())
    10: mark(cons(X1,X2)) -> active(cons(X1,X2))
    11: mark(0()) -> active(0())
    12: mark(incr(X)) -> active(incr(mark(X)))
    13: mark(s(X)) -> active(s(X))
    14: mark(hd(X)) -> active(hd(mark(X)))
    15: mark(tl(X)) -> active(tl(mark(X)))
    16: adx(mark(X)) -> adx(X)
    17: adx(active(X)) -> adx(X)
    18: cons(mark(X1),X2) -> cons(X1,X2)
    19: cons(X1,mark(X2)) -> cons(X1,X2)
    20: cons(active(X1),X2) -> cons(X1,X2)
    21: cons(X1,active(X2)) -> cons(X1,X2)
    22: incr(mark(X)) -> incr(X)
    23: incr(active(X)) -> incr(X)
    24: s(mark(X)) -> s(X)
    25: s(active(X)) -> s(X)
    26: hd(mark(X)) -> hd(X)
    27: hd(active(X)) -> hd(X)
    28: tl(mark(X)) -> tl(X)
    29: tl(active(X)) -> tl(X)
Number of Rules: 29
Direct POLO(Sum) ... removes: 6 5 1
	I(tl) = x1 + 1
	I(nats) = 1
	I(mark) = x1
	I(hd) = x1 + 1
	I(active) = x1
	I(incr) = x1
	I(0) = 0
	I(s) = x1
	I(zeros) = 0
	I(cons) = x1 + x2
	I(adx) = x1
Number of Rules: 26
Direct POLO(Sum) ...Direct QLPOS ...Direct QKBOS ... failed.