YES

Problem:
 a(a(x)) -> a(b(a(x)))

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {1}
   transitions:
    f20() -> 2*
    a0(2) -> 3*
    a0(4) -> 1*
    b0(3) -> 4*
    1 -> 3*
  problem:
   
  Qed