YES
Time: 0.000790
TRS:
 {f(x, a()) -> x,
  f(x, g y) -> f(g x, y)}
 DP:
  DP:
   {f#(x, g y) -> f#(g x, y)}
  TRS:
  {f(x, a()) -> x,
   f(x, g y) -> f(g x, y)}
  EDG:
   {(f#(x, g y) -> f#(g x, y), f#(x, g y) -> f#(g x, y))}
   EDG:
    {}
    EDG:
     {}
     STATUS:
      arrows: 1.000000
      SCCS (0):