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