(0) Obligation:

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

natscons(0, n__incr(nats))
pairscons(0, n__incr(odds))
oddsincr(pairs)
incr(cons(X, XS)) → cons(s(X), n__incr(activate(XS)))
head(cons(X, XS)) → X
tail(cons(X, XS)) → activate(XS)
incr(X) → n__incr(X)
activate(n__incr(X)) → incr(X)
activate(X) → X

Q is empty.