YES
Time: 0.001789
TRS:
 {f(a(), f(x, a())) -> f(x, f(f(a(), a()), a()))}
 DP:
  DP:
   {f#(a(), f(x, a())) -> f#(x, f(f(a(), a()), a())),
    f#(a(), f(x, a())) -> f#(f(a(), a()), a()),
    f#(a(), f(x, a())) -> f#(a(), a())}
  TRS:
  {f(a(), f(x, a())) -> f(x, f(f(a(), a()), a()))}
  EDG:
   {(f#(a(), f(x, a())) -> f#(x, f(f(a(), a()), a())), f#(a(), f(x, a())) -> f#(x, f(f(a(), a()), a())))
    (f#(a(), f(x, a())) -> f#(x, f(f(a(), a()), a())), f#(a(), f(x, a())) -> f#(f(a(), a()), a()))
    (f#(a(), f(x, a())) -> f#(x, f(f(a(), a()), a())), f#(a(), f(x, a())) -> f#(a(), a()))}
   EDG:
    {}
    EDG:
     {}
     STATUS:
      arrows: 1.000000
      SCCS (0):