YES
Trs:
 {f(f(X)) -> c(),
     h(X) -> c(),
      c() -> d()}
 Comment:
  We consider a non-duplicating trs.
  BOUND:
   Automaton:
    {f_0(q3) -> q3,
       d_2() -> q8,
       d_1() -> q6,
       d_0() -> q3,
     h_0(q3) -> q3,
       c_1() -> q4,
       c_0() -> q3,
          q8 -> q4,
          q6 -> q3,
          q4 -> q3}
   Strict:
   {}
   Qed