YES
Time: 0.003439
TRS:
 {f(a(), f(x, a())) -> f(f(x, f(f(a(), a()), a())), a())}
 DP:
  DP:
   {f#(a(), f(x, a())) -> f#(x, f(f(a(), a()), a())),
    f#(a(), f(x, a())) -> f#(f(x, f(f(a(), 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(f(x, f(f(a(), a()), a())), a())}
  EDG:
   {}
   STATUS:
    arrows: 1.000000
    SCCS (0):