YES(?,O(n^1))

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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {3,2}
   transitions:
    b1(7) -> 8*
    b1(4) -> 5*
    a1(5) -> 6*
    a1(6) -> 7*
    a0(1) -> 2*
    b0(1) -> 1*
    c0(1) -> 3*
    1 -> 4*
    8 -> 3*
  problem:
   
  Qed