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