YES(?,O(n^1))
TRS:
 {f(f(a(), a()), x) -> f(x, f(f(a(), f(a(), a())), a()))}
 DUP: We consider a non-duplicating system.
  Trs:
   {f(f(a(), a()), x) -> f(x, f(f(a(), f(a(), a())), a()))}
  BOUND:
   Bound: match(-raise)-bounded by 1
   Automaton:
    {
         a_1() -> 2*
         a_0() -> 1*
     f_1(5, 5) -> 1*
     f_1(4, 2) -> 5*
     f_1(2, 3) -> 4*
     f_1(2, 2) -> 3*
     f_1(1, 5) -> 1*
     f_0(1, 1) -> 1*
    }
   Strict:
    {}
   Qed