YES

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

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

Label: