YES
Time: 0.025943
TRS:
 {f(f(a(), x), y) -> f(y, f(x, f(a(), f(h a(), a()))))}
 DP:
  DP:
   {f#(f(a(), x), y) -> f#(y, f(x, f(a(), f(h a(), a())))),
    f#(f(a(), x), y) -> f#(x, f(a(), f(h a(), a()))),
    f#(f(a(), x), y) -> f#(a(), f(h a(), a())),
    f#(f(a(), x), y) -> f#(h a(), a())}
  TRS:
  {f(f(a(), x), y) -> f(y, f(x, f(a(), f(h a(), a()))))}
  EDG:
   {(f#(f(a(), x), y) -> f#(x, f(a(), f(h a(), a()))), f#(f(a(), x), y) -> f#(h a(), a()))
    (f#(f(a(), x), y) -> f#(x, f(a(), f(h a(), a()))), f#(f(a(), x), y) -> f#(a(), f(h a(), a())))
    (f#(f(a(), x), y) -> f#(x, f(a(), f(h a(), a()))), f#(f(a(), x), y) -> f#(x, f(a(), f(h a(), a()))))
    (f#(f(a(), x), y) -> f#(x, f(a(), f(h a(), a()))), f#(f(a(), x), y) -> f#(y, f(x, f(a(), f(h a(), a())))))
    (f#(f(a(), x), y) -> f#(y, f(x, f(a(), f(h a(), a())))), f#(f(a(), x), y) -> f#(y, f(x, f(a(), f(h a(), a())))))
    (f#(f(a(), x), y) -> f#(y, f(x, f(a(), f(h a(), a())))), f#(f(a(), x), y) -> f#(x, f(a(), f(h a(), a()))))
    (f#(f(a(), x), y) -> f#(y, f(x, f(a(), f(h a(), a())))), f#(f(a(), x), y) -> f#(a(), f(h a(), a())))
    (f#(f(a(), x), y) -> f#(y, f(x, f(a(), f(h a(), a())))), f#(f(a(), x), y) -> f#(h a(), a()))}
   SCCS (1):
    Scc:
     {f#(f(a(), x), y) -> f#(y, f(x, f(a(), f(h a(), a())))),
      f#(f(a(), x), y) -> f#(x, f(a(), f(h a(), a())))}
    SCC (2):
     Strict:
      {f#(f(a(), x), y) -> f#(y, f(x, f(a(), f(h a(), a())))),
       f#(f(a(), x), y) -> f#(x, f(a(), f(h a(), a())))}
     Weak:
     {f(f(a(), x), y) -> f(y, f(x, f(a(), f(h a(), a()))))}
     BOUND:
      Bound: match(-raise)-bounded by 2
      Automaton:
       {      h_2(7) -> 8*
              h_1(2) -> 3*
              h_0(1) -> 1*
               a_2() -> 7*
               a_1() -> 2*
               a_0() -> 1*
        f#_2(11, 11) -> 1*
         f#_2(6, 11) -> 1*
         f#_2(5, 11) -> 1*
         f#_2(4, 10) -> 1*
         f#_1(11, 6) -> 1*
          f#_1(6, 6) -> 1*
          f#_1(6, 5) -> 1*
          f#_1(5, 6) -> 1*
          f#_1(5, 5) -> 1*
          f#_1(1, 6) -> 1*
          f#_1(1, 5) -> 1*
          f#_0(1, 1) -> 1*
         f_2(11, 11) -> 6*
           f_2(8, 7) -> 9*
           f_2(7, 9) -> 10*
          f_2(6, 11) -> 6*
          f_2(5, 11) -> 6*
          f_2(4, 10) -> 11*
          f_1(11, 6) -> 6*
           f_1(6, 6) -> 1*
           f_1(6, 5) -> 6*
           f_1(5, 6) -> 6*
           f_1(5, 5) -> 6*
           f_1(3, 2) -> 4*
           f_1(2, 4) -> 5*
           f_1(1, 6) -> 1*
           f_1(1, 5) -> 6*
           f_0(1, 1) -> 1*}
      Strict:
       {}
      Qed