YES
TRS:
 {f(x, f(y, a())) -> f(f(f(f(a(), a()), y), h(a())), x)}
 DP:
  Strict:
   {f#(x, f(y, a())) -> f#(f(f(f(a(), a()), y), h(a())), x),
    f#(x, f(y, a())) -> f#(f(f(a(), a()), y), h(a())),
    f#(x, f(y, a())) -> f#(f(a(), a()), y),
    f#(x, f(y, a())) -> f#(a(), a())}
  Weak:
  {f(x, f(y, a())) -> f(f(f(f(a(), a()), y), h(a())), x)}
  EDG:
   {(f#(x, f(y, a())) -> f#(f(a(), a()), y), f#(x, f(y, a())) -> f#(a(), a()))
    (f#(x, f(y, a())) -> f#(f(a(), a()), y), f#(x, f(y, a())) -> f#(f(a(), a()), y))
    (f#(x, f(y, a())) -> f#(f(a(), a()), y), f#(x, f(y, a())) -> f#(f(f(a(), a()), y), h(a())))
    (f#(x, f(y, a())) -> f#(f(a(), a()), y), f#(x, f(y, a())) -> f#(f(f(f(a(), a()), y), h(a())), x))
    (f#(x, f(y, a())) -> f#(f(f(f(a(), a()), y), h(a())), x), f#(x, f(y, a())) -> f#(f(f(f(a(), a()), y), h(a())), x))
    (f#(x, f(y, a())) -> f#(f(f(f(a(), a()), y), h(a())), x), f#(x, f(y, a())) -> f#(f(f(a(), a()), y), h(a())))
    (f#(x, f(y, a())) -> f#(f(f(f(a(), a()), y), h(a())), x), f#(x, f(y, a())) -> f#(f(a(), a()), y))
    (f#(x, f(y, a())) -> f#(f(f(f(a(), a()), y), h(a())), x), f#(x, f(y, a())) -> f#(a(), a()))}
   SCCS:
    Scc:
     {f#(x, f(y, a())) -> f#(f(f(f(a(), a()), y), h(a())), x),
      f#(x, f(y, a())) -> f#(f(a(), a()), y)}
    SCC:
     Strict:
      {f#(x, f(y, a())) -> f#(f(f(f(a(), a()), y), h(a())), x),
       f#(x, f(y, a())) -> f#(f(a(), a()), y)}
     Weak:
     {f(x, f(y, a())) -> f(f(f(f(a(), a()), y), h(a())), x)}
     UR:
      {f(x, f(y, a())) -> f(f(f(f(a(), a()), y), h(a())), x)}
      BOUND:
       Bound: match(-raise)-bounded by 2
       Automaton:
        {     h_2(7) -> 10*
              h_1(2) -> 5*
              h_0(1) -> 1*
               a_2() -> 7*
               a_1() -> 2*
               a_0() -> 1*
         f#_2(11, 6) -> 1*
          f#_2(8, 2) -> 1*
          f#_1(6, 6) -> 1*
          f#_1(6, 3) -> 1*
          f#_1(6, 1) -> 1*
          f#_1(3, 6) -> 1*
          f#_1(3, 1) -> 1*
          f#_0(1, 1) -> 1*
          f_2(11, 6) -> 4*
          f_2(9, 10) -> 11*
           f_2(8, 2) -> 9*
           f_2(7, 7) -> 8*
           f_1(6, 6) -> 1*
           f_1(6, 3) -> 4*
           f_1(6, 1) -> 1*
           f_1(4, 5) -> 6*
           f_1(3, 6) -> 4*
           f_1(3, 1) -> 4*
           f_1(2, 2) -> 3*
           f_0(1, 1) -> 1*}
       Strict:
        {}
       Qed