YES

---- CR(R)
---- Hot decreasingness.
R:
f(a()) -> b()
f(a()) -> f(c())
a() -> d()
f(d()) -> b()
f(c()) -> b()
d() -> c()

C:
f(a()) -> b()
f(a()) -> f(c())
a() -> d()
f(d()) -> b()
f(c()) -> b()
d() -> c()

Label: