YES
Time: 0.001810
TRS:
 {f(f(a(), a()), x) -> f(x, f(f(a(), f(a(), a())), a()))}
 DP:
  DP:
   {f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())),
    f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()),
    f#(f(a(), a()), x) -> f#(a(), f(a(), a()))}
  TRS:
  {f(f(a(), a()), x) -> f(x, f(f(a(), f(a(), a())), a()))}
  UR:
   {}
   EDG:
    {(f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())), f#(f(a(), a()), x) -> f#(a(), f(a(), a())))
     (f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())), f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()))
     (f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())), f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())))
     (f#(f(a(), a()), x) -> f#(a(), f(a(), a())), f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())))
     (f#(f(a(), a()), x) -> f#(a(), f(a(), a())), f#(f(a(), a()), x) -> f#(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#(f(a(), f(a(), a())), a()), f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())))
     (f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()), f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()))
     (f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()), f#(f(a(), a()), x) -> f#(a(), f(a(), a())))}
    EDG:
     {(f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())), f#(f(a(), a()), x) -> f#(a(), f(a(), a())))
      (f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())), f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()))
      (f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())), f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())))}
     EDG:
      {}
      EDG:
       {}
       STATUS:
        arrows: 1.000000
        SCCS (0):