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)}
     BOUND:
      Bound: match(-raise)-bounded by 1
      Automaton:
       {      b_0() -> 4*
            h_1(12) -> 15*
             h_0(2) -> 6*
              a_1() -> 12*
              a_0() -> 2*
        f#_1(16, 7) -> 9*
        f#_1(13, 2) -> 9*
        f#_0(11, 7) -> 9*
         f#_0(7, 7) -> 8*
         f#_0(7, 4) -> 8*
         f#_0(7, 3) -> 9*
         f#_0(3, 4) -> 9*
         f#_0(3, 2) -> 9*
         f_1(16, 7) -> 5*
        f_1(14, 15) -> 16*
         f_1(13, 2) -> 14*
        f_1(12, 12) -> 13*
         f_0(11, 7) -> 5*
         f_0(10, 6) -> 11*
          f_0(7, 7) -> 1*
          f_0(7, 4) -> 1*
          f_0(7, 3) -> 5*
          f_0(5, 6) -> 7*
          f_0(3, 4) -> 5*
          f_0(3, 2) -> 10*
          f_0(2, 2) -> 3*
                  9 -> 8*}
      Strict:
       {}
      Qed