YES
Time: 0.002237
TRS:
 {f(f(a(), a()), x) -> f(f(a(), x), f(a(), f(a(), a())))}
 DP:
  DP:
   {f#(f(a(), a()), x) -> f#(f(a(), x), f(a(), f(a(), a()))),
    f#(f(a(), a()), x) -> f#(a(), x),
    f#(f(a(), a()), x) -> f#(a(), f(a(), a()))}
  TRS:
  {f(f(a(), a()), x) -> f(f(a(), x), f(a(), f(a(), a())))}
  EDG:
   {}
   STATUS:
    arrows: 1.000000
    SCCS (0):