Problem:
 a(a(b(x1))) -> b(c(b(a(a(a(x1))))))
 a(c(x1)) -> x1

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {3}
   transitions:
    a0(2) -> 3*
    a0(1) -> 3*
    b0(2) -> 1*
    b0(1) -> 1*
    c0(2) -> 2*
    c0(1) -> 2*
    1 -> 3*
    2 -> 3*
  problem:
   
  Qed