YES

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

C:
h(f(f(f(h(c(),h(b(),c()))))),h(f(f(b())),b())) -> f(h(b(),f(a())))
f(c()) -> b()

Label: