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