YES
Time: 0.001984
TRS:
 {f(f(a(), a()), x) -> f(f(x, f(a(), f(a(), a()))), a())}
 DP:
  DP:
   {f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))),
    f#(f(a(), a()), x) -> f#(f(x, f(a(), f(a(), a()))), a()),
    f#(f(a(), a()), x) -> f#(a(), f(a(), a()))}
  TRS:
  {f(f(a(), a()), x) -> f(f(x, f(a(), f(a(), a()))), a())}
  EDG:
   {(f#(f(a(), a()), x) -> f#(f(x, f(a(), f(a(), a()))), a()), f#(f(a(), a()), x) -> f#(a(), f(a(), a())))
    (f#(f(a(), a()), x) -> f#(f(x, f(a(), f(a(), a()))), a()), f#(f(a(), a()), x) -> f#(f(x, f(a(), f(a(), a()))), a()))
    (f#(f(a(), a()), x) -> f#(f(x, f(a(), f(a(), a()))), a()), f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))))
    (f#(f(a(), a()), x) -> f#(a(), f(a(), a())), f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))))
    (f#(f(a(), a()), x) -> f#(a(), f(a(), a())), f#(f(a(), a()), x) -> f#(f(x, f(a(), f(a(), a()))), a()))
    (f#(f(a(), a()), x) -> f#(a(), f(a(), a())), f#(f(a(), a()), x) -> f#(a(), f(a(), a())))
    (f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))), f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))))
    (f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))), f#(f(a(), a()), x) -> f#(f(x, f(a(), f(a(), a()))), a()))
    (f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))), f#(f(a(), a()), x) -> f#(a(), f(a(), a())))}
   EDG:
    {(f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))), f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))))
     (f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))), f#(f(a(), a()), x) -> f#(f(x, f(a(), f(a(), a()))), a()))
     (f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))), f#(f(a(), a()), x) -> f#(a(), f(a(), a())))}
    EDG:
     {}
     EDG:
      {}
      STATUS:
       arrows: 1.000000
       SCCS (0):