YES
Time: 0.003768
TRS:
 {f(a(), f(a(), x)) -> f(a(), f(x, f(f(a(), a()), a())))}
 DP:
  DP:
   {f#(a(), f(a(), x)) -> f#(x, f(f(a(), a()), a())),
    f#(a(), f(a(), x)) -> f#(f(a(), a()), a()),
    f#(a(), f(a(), x)) -> f#(a(), f(x, f(f(a(), a()), a()))),
    f#(a(), f(a(), x)) -> f#(a(), a())}
  TRS:
  {f(a(), f(a(), x)) -> f(a(), f(x, f(f(a(), a()), a())))}
  EDG:
   {}
   STATUS:
    arrows: 1.000000
    SCCS (0):