Termination w.r.t. Q of the following Term Rewriting System could not be shown:

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

incr(nil) → nil
incr(cons(X, L)) → cons(s(X), incr(L))
adx(nil) → nil
adx(cons(X, L)) → incr(cons(X, adx(L)))
natsadx(zeros)
zeroscons(0, zeros)
head(cons(X, L)) → X
tail(cons(X, L)) → L

Q is empty.


QTRS

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

incr(nil) → nil
incr(cons(X, L)) → cons(s(X), incr(L))
adx(nil) → nil
adx(cons(X, L)) → incr(cons(X, adx(L)))
natsadx(zeros)
zeroscons(0, zeros)
head(cons(X, L)) → X
tail(cons(X, L)) → L

Q is empty.