YES
Time: 0.003905
TRS:
 {f(a(), f(x, a())) -> f(a(), f(a(), f(f(a(), a()), x)))}
 DP:
  DP:
   {f#(a(), f(x, a())) -> f#(f(a(), a()), x),
    f#(a(), f(x, a())) -> f#(a(), f(f(a(), a()), x)),
    f#(a(), f(x, a())) -> f#(a(), f(a(), f(f(a(), a()), x))),
    f#(a(), f(x, a())) -> f#(a(), a())}
  TRS:
  {f(a(), f(x, a())) -> f(a(), f(a(), f(f(a(), a()), x)))}
  EDG:
   {}
   STATUS:
    arrows: 1.000000
    SCCS (0):