YES
TRS:
 {f(f(x, a()), a()) -> f(f(f(a(), f(a(), a())), a()), x)}
 DP:
  Strict:
   {f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x),
    f#(f(x, a()), a()) -> f#(f(a(), f(a(), a())), a()),
    f#(f(x, a()), a()) -> f#(a(), f(a(), a())),
    f#(f(x, a()), a()) -> f#(a(), a())}
  Weak:
  {f(f(x, a()), a()) -> f(f(f(a(), f(a(), a())), a()), x)}
  EDG:
   {(f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x), f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x))
    (f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x), f#(f(x, a()), a()) -> f#(f(a(), f(a(), a())), a()))
    (f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x), f#(f(x, a()), a()) -> f#(a(), f(a(), a())))
    (f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x), f#(f(x, a()), a()) -> f#(a(), a()))}
   SCCS:
    Scc:
     {f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x)}
    SCC:
     Strict:
      {f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x)}
     Weak:
     {f(f(x, a()), a()) -> f(f(f(a(), f(a(), a())), a()), x)}
     BOUND:
      Bound: match(-raise)-bounded by 0
      Automaton:
       {     b_0() -> 6*
             a_0() -> 2*
        f#_0(5, 6) -> 7*
        f#_0(5, 4) -> 7*
         f_0(5, 6) -> 1*
         f_0(5, 4) -> 1*
         f_0(4, 2) -> 5*
         f_0(2, 3) -> 4*
         f_0(2, 2) -> 3*}
      Strict:
       {}
      Qed