YES(?,O(n^1))

Problem:
 f(f(a(),x),y) -> h(h(f(f(x,f(a(),y)),a())))

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {3}
   transitions:
    f0(1,2) -> 3*
    f0(2,1) -> 3*
    f0(1,1) -> 3*
    f0(2,2) -> 3*
    a0() -> 1*
    h0(2) -> 2*
    h0(1) -> 2*
  problem:
   
  Qed