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