YES

(VAR x)
(RULES
  b(b(b(x))) -> b(b(x))
  a(x) -> b(x)
  c(x) -> b(x)
)

(COMMENT
Termination is shown by ELPO with interpretations on natural numbers

  a_A(x1) = x1 + 2
  b_A(x1) = x1 + 1
  c_A(x1) = x1 + 2
  a#_A(x1) = x1
  c#_A(x1) = x1

and precedence:

c > a > b
)