YES
TRS:
 {f(x, f(a(), a())) -> f(a(), f(f(f(a(), a()), a()), x))}
 DP:
  Strict:
   {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x),
    f#(x, f(a(), a())) -> f#(f(a(), a()), a()),
    f#(x, f(a(), a())) -> f#(a(), f(f(f(a(), a()), a()), x))}
  Weak:
  {f(x, f(a(), a())) -> f(a(), f(f(f(a(), a()), a()), x))}
  EDG:
   {(f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x))
    (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(f(a(), a()), a()))
    (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(a(), f(f(f(a(), a()), a()), x)))}
   SCCS:
    Scc:
     {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x)}
    SCC:
     Strict:
      {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x)}
     Weak:
     {f(x, f(a(), a())) -> f(a(), f(f(f(a(), a()), a()), x))}
     UR:
      {}
      BOUND:
       Bound: match(-raise)-DP-bounded by 1
       Automaton:
        {       a_1() -> 11*
                a_0() -> 9*
         f#_1(13, 10) -> 4*
         f#_0(10, 10) -> 4*
          f#_0(10, 9) -> 4*
          f#_0(10, 8) -> 4*
          f#_0(10, 7) -> 4*
          f_1(12, 11) -> 13*
          f_1(11, 11) -> 12*
          f_0(10, 10) -> 7*
           f_0(10, 9) -> 7*
           f_0(10, 8) -> 7*
           f_0(10, 7) -> 7*
           f_0(9, 10) -> 7*
            f_0(9, 9) -> 8*
            f_0(9, 8) -> 7*
            f_0(9, 7) -> 7*
           f_0(8, 10) -> 7*
            f_0(8, 9) -> 10*
            f_0(8, 8) -> 7*
            f_0(8, 7) -> 7*
           f_0(7, 10) -> 7*
            f_0(7, 9) -> 7*
            f_0(7, 8) -> 7*
            f_0(7, 7) -> 7*}
       Strict:
        {}
       Qed