YES

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

C:
a(x) -> x
b(x) -> c(x)
c(c(x)) -> x

Label:
[a(b(x)) -> c(b(b(a(a(x)))))] = 0