(0) Obligation:

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

min(x, 0) → 0
min(0, y) → 0
min(s(x), s(y)) → s(min(x, y))
max(x, 0) → x
max(0, y) → y
max(s(x), s(y)) → s(max(x, y))
-(x, 0) → x
-(s(x), s(y)) → -(x, y)
gcd(s(x), 0) → s(x)
gcd(0, s(x)) → s(x)
gcd(s(x), s(y)) → gcd(-(max(x, y), min(x, y)), s(min(x, y)))

Q is empty.