YES

---- CR(R)
---- Hot decreasingness.
R:
f(g(x)) -> h(g(x),g(x))
f(s(x)) -> h(s(x),s(x))
g(x) -> s(x)

C:
f(g(x)) -> h(g(x),g(x))
f(s(x)) -> h(s(x),s(x))
g(x) -> s(x)

Label: