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))}
     UR:
      {f(x, f(a(), a())) -> f(f(f(a(), a()), a()), f(a(), x))}
      BOUND:
       Bound: match(-raise)-DP-bounded by 1
       Automaton:
        {     b_0() -> 3*
              a_1() -> 5*
              a_0() -> 2*
         f#_1(5, 2) -> 1*
         f#_0(2, 3) -> 1*
         f#_0(2, 2) -> 1*
          f_0(4, 2) -> 2*
          f_0(2, 2) -> 4 | 3}
       Strict:
        {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(a(), x))}
       EDG:
        {(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)))}
        SCCS:
         Scc:
          {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(a(), x))}
         SCC:
          Strict:
           {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), f(a(), x))}
          Weak:
          {f(x, f(a(), a())) -> f(f(f(a(), a()), a()), f(a(), x))}
          UR:
           {f(x, f(a(), a())) -> f(f(f(a(), a()), a()), f(a(), x))}
           BOUND:
            Bound: match(-raise)-DP-bounded by 1
            Automaton:
             {      c_0() -> 5*
                    a_1() -> 7*
                    a_0() -> 2*
              f#_1(9, 10) -> 1*
               f#_0(4, 6) -> 1*
               f#_0(4, 3) -> 1*
                f_1(8, 7) -> 9*
                f_1(7, 7) -> 8*
                f_1(7, 4) -> 10*
                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*}
            Strict:
             {}
            Qed