(0) Obligation:

Q restricted rewrite system:
The TRS R consists of the following rules:

natsadx(zeros)
zeroscons(0, zeros)
incr(cons(X, Y)) → cons(s(X), incr(Y))
adx(cons(X, Y)) → incr(cons(X, adx(Y)))
hd(cons(X, Y)) → X
tl(cons(X, Y)) → Y

Q is empty.