YES

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

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

  a_A(x1) = 1
  b_A(x1) = 1
  c_A(x1) = 1
  b#_A(x1) = x1
  c#_A(x1) = x1

and precedence:

c > b > a
)