YES

(VAR x0 x)
(RULES
  b(x0) -> x0
  c(x) -> x
  a(x) -> x
)

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

  a_A(x1) = x1 + 5
  c_A(x1) = x1 + 1
  b_A(x1) = x1
  c#_A(x1) = 0

weights

  w0 = 1
  w(a) = 15
  w(c) = 1
  w(b) = 4

and precedence:

b > c > a
)