YES
TRS:
 {f(x, f(a(), a())) -> f(f(f(a(), a()), a()), f(a(), x))}
 DP:
  Strict:
   {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(a(), x)),
    f#(x, f(a(), a())) -> f#(f(a(), a()), a()),
    f#(x, f(a(), a())) -> f#(a(), x)}
  Weak:
  {f(x, f(a(), a())) -> f(f(f(a(), a()), a()), f(a(), x))}
  EDG:
   {(f#(x, f(a(), a())) -> f#(a(), x), f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(a(), x)))
    (f#(x, f(a(), a())) -> f#(a(), x), f#(x, f(a(), a())) -> f#(f(a(), a()), a()))
    (f#(x, f(a(), a())) -> f#(a(), x), f#(x, f(a(), a())) -> f#(a(), x))
    (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(a(), x)), f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(a(), x)))
    (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(a(), x)), f#(x, f(a(), a())) -> f#(f(a(), a()), a()))
    (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(a(), x)), f#(x, f(a(), a())) -> f#(a(), x))}
   SCCS:
    Scc:
     {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(a(), x)),
      f#(x, f(a(), a())) -> f#(a(), x)}
    SCC:
     Strict:
      {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(a(), x)),
       f#(x, f(a(), a())) -> f#(a(), x)}
     Weak:
     {f(x, f(a(), a())) -> f(f(f(a(), a()), a()), f(a(), x))}
     BOUND:
      Bound: match(-raise)-bounded by 1
      Automaton:
       {       b_0() -> 5*
               a_1() -> 9*
               a_0() -> 2*
        f#_1(11, 12) -> 8*
          f#_1(9, 4) -> 8*
          f#_0(4, 6) -> 7*
          f#_0(4, 3) -> 8*
          f#_0(2, 5) -> 8*
          f#_0(2, 4) -> 8 | 7
          f#_0(2, 2) -> 8*
         f_1(11, 12) -> 6*
          f_1(10, 9) -> 11*
           f_1(9, 9) -> 10*
           f_1(9, 4) -> 12*
           f_0(4, 6) -> 1*
           f_0(4, 3) -> 6*
           f_0(3, 2) -> 4*
           f_0(2, 5) -> 6*
           f_0(2, 4) -> 3*
           f_0(2, 2) -> 3*
                   8 -> 7*
                   6 -> 1*}
      Strict:
       {}
      Qed