YES
Time: 0.010670
TRS:
 {f(a(), f(a(), x)) -> f(a(), f(f(a(), x), f(a(), a())))}
 DP:
  DP:
   {f#(a(), f(a(), x)) -> f#(f(a(), x), f(a(), a())),
    f#(a(), f(a(), x)) -> f#(a(), f(f(a(), x), f(a(), a()))),
    f#(a(), f(a(), x)) -> f#(a(), a())}
  TRS:
  {f(a(), f(a(), x)) -> f(a(), f(f(a(), x), f(a(), a())))}
  UR:
   {f(a(), f(a(), x)) -> f(a(), f(f(a(), x), f(a(), a())))}
   EDG:
    {}
    STATUS:
     arrows: 1.000000
     SCCS (0):