YES
Time: 0.001873
TRS:
 {f(f(a(), f(a(), a())), x) -> f(x, f(f(a(), a()), a()))}
 DP:
  DP:
   {f#(f(a(), f(a(), a())), x) -> f#(x, f(f(a(), a()), a())),
    f#(f(a(), f(a(), a())), x) -> f#(f(a(), a()), a())}
  TRS:
  {f(f(a(), f(a(), a())), x) -> f(x, f(f(a(), a()), a()))}
  EDG:
   {(f#(f(a(), f(a(), a())), x) -> f#(x, f(f(a(), a()), a())), f#(f(a(), f(a(), a())), x) -> f#(x, f(f(a(), a()), a())))
    (f#(f(a(), f(a(), a())), x) -> f#(x, f(f(a(), a()), a())), f#(f(a(), f(a(), a())), x) -> f#(f(a(), a()), a()))}
   EDG:
    {}
    EDG:
     {}
     STATUS:
      arrows: 1.000000
      SCCS (0):