YES
Time: 0.004837
TRS:
 {f(x, f(a(), a())) -> f(f(x, a()), x)}
 DP:
  DP:
   {f#(x, f(a(), a())) -> f#(x, a()),
    f#(x, f(a(), a())) -> f#(f(x, a()), x)}
  TRS:
  {f(x, f(a(), a())) -> f(f(x, a()), x)}
  EDG:
   {(f#(x, f(a(), a())) -> f#(f(x, a()), x), f#(x, f(a(), a())) -> f#(x, a()))
    (f#(x, f(a(), a())) -> f#(f(x, a()), x), f#(x, f(a(), a())) -> f#(f(x, a()), x))}
   SCCS (1):
    Scc:
     {f#(x, f(a(), a())) -> f#(f(x, a()), x)}
    SCC (1):
     Strict:
      {f#(x, f(a(), a())) -> f#(f(x, a()), x)}
     Weak:
     {f(x, f(a(), a())) -> f(f(x, a()), x)}
     BOUND:
      Bound: roof(-raise)-bounded by 3
      Automaton:
       {     a_3() -> 6*
             a_2() -> 4*
             a_1() -> 2*
             a_0() -> 1*
        f#_3(7, 5) -> 1*
        f#_2(5, 3) -> 1*
        f#_1(3, 1) -> 1*
        f#_0(1, 1) -> 1*
         f_3(7, 5) -> 1*
         f_3(5, 6) -> 7*
         f_2(5, 3) -> 1*
         f_2(3, 4) -> 5*
         f_1(3, 1) -> 1*
         f_1(1, 2) -> 3*
         f_0(1, 1) -> 1*}
      Strict:
       {}
      Qed