YES
Trs:
 {f(f(a(), x), a()) -> f(f(x, f(a(), a())), a())}
 Comment:
  We consider a non-duplicating trs.
  BOUND:
   Automaton:
    {      a_1() -> q3,
           a_0() -> q2,
     f_1(q5, q3) -> q2,
     f_1(q4, q4) -> q5,
     f_1(q3, q3) -> q4,
     f_1(q2, q4) -> q5,
     f_0(q2, q2) -> q2}
   Strict:
   {}
   Qed