(0) Obligation:

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

f(true, x, y) → f(gt(x, y), x, round(s(y)))
round(0) → 0
round(s(0)) → s(s(0))
round(s(s(x))) → s(s(round(x)))
gt(0, v) → false
gt(s(u), 0) → true
gt(s(u), s(v)) → gt(u, v)

Q is empty.