YES

---- CR(R)
---- Hot decreasingness.
R:
f(i(x),g(a())) -> f(j(x,x),g(b()))
b() -> a()
i(x) -> j(x,x)

C:
f(i(x),g(a())) -> f(j(x,x),g(b()))
b() -> a()
i(x) -> j(x,x)

Label: