YES(?,O(n^1))

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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {3}
   transitions:
    f1(7,7) -> 8*
    f1(8,8) -> 9*
    f1(3,8) -> 9*
    f1(9,7) -> 3*
    a1() -> 7*
    f0(3,3) -> 3*
    a0() -> 3*
  problem:
   
  Qed