YES
TRS:
 {f(x, f(a(), a())) -> f(f(f(a(), a()), a()), f(x, a()))}
 DP:
  Strict:
   {f#(x, f(a(), a())) -> f#(x, a()),
    f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(x, a())),
    f#(x, f(a(), a())) -> f#(f(a(), a()), a())}
  Weak:
  {f(x, f(a(), a())) -> f(f(f(a(), a()), a()), f(x, a()))}
  EDG:
   {(f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(x, a())), f#(x, f(a(), a())) -> f#(x, a()))
    (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(x, a())), f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(x, a())))
    (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(x, a())), f#(x, f(a(), a())) -> f#(f(a(), a()), a()))}
   SCCS:
    Scc:
     {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(x, a()))}
    SCC:
     Strict:
      {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(x, a()))}
     Weak:
     {f(x, f(a(), a())) -> f(f(f(a(), a()), a()), f(x, a()))}
     UR:
      {}
      BOUND:
       Bound: match(-raise)-DP-bounded by 0
       Automaton:
        {     b_0() -> 5*
              a_0() -> 2*
         f#_0(4, 6) -> 1*
          f_0(5, 2) -> 6*
          f_0(4, 2) -> 6*
          f_0(3, 2) -> 4*
          f_0(2, 2) -> 3*}
       Strict:
        {}
       Qed