YES
Time: 0.015827
TRS:
 {f(x, f(y, a())) -> f(f(f(f(a(), a()), y), h a()), x)}
 DP:
  DP:
   {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())}
  TRS:
  {f(x, f(y, a())) -> f(f(f(f(a(), a()), y), h a()), x)}
  EDG:
   {(f#(x, f(y, a())) -> f#(f(f(f(a(), a()), y), h a()), x), f#(x, f(y, a())) -> f#(a(), 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#(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(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#(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(a(), a()), y))
    (f#(x, f(y, a())) -> f#(f(a(), a()), y), f#(x, f(y, a())) -> f#(a(), a()))}
   SCCS (1):
    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 (2):
     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 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