YES

---- CR(R)
---- Hot decreasingness.
R:
F(x,y) -> c(y)
G(x) -> x
f(x) -> g(x)
g(x) -> c(x)

C:
F(x,y) -> c(y)
G(x) -> x
f(x) -> g(x)
g(x) -> c(x)

Label: