YES
Time: 0.002065
TRS:
 {f(x, f(a(), a())) -> f(a(), f(f(f(a(), a()), a()), x))}
 DP:
  DP:
   {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x),
    f#(x, f(a(), a())) -> f#(f(a(), a()), a()),
    f#(x, f(a(), a())) -> f#(a(), f(f(f(a(), a()), a()), x))}
  TRS:
  {f(x, f(a(), a())) -> f(a(), f(f(f(a(), a()), a()), x))}
  UR:
   {f(x, f(a(), a())) -> f(a(), f(f(f(a(), a()), a()), x))}
   EDG:
    {(f#(x, f(a(), a())) -> f#(a(), f(f(f(a(), a()), a()), x)), f#(x, f(a(), a())) -> f#(a(), f(f(f(a(), a()), a()), x)))
     (f#(x, f(a(), a())) -> f#(a(), f(f(f(a(), a()), a()), x)), f#(x, f(a(), a())) -> f#(f(a(), a()), a()))
     (f#(x, f(a(), a())) -> f#(a(), f(f(f(a(), a()), a()), x)), f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x))
     (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x))
     (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(f(a(), a()), a()))
     (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(a(), f(f(f(a(), a()), a()), x)))
     (f#(x, f(a(), a())) -> f#(f(a(), a()), a()), f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x))
     (f#(x, f(a(), a())) -> f#(f(a(), a()), a()), f#(x, f(a(), a())) -> f#(f(a(), a()), a()))
     (f#(x, f(a(), a())) -> f#(f(a(), a()), a()), f#(x, f(a(), a())) -> f#(a(), f(f(f(a(), a()), a()), x)))}
    EDG:
     {(f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x))
      (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(f(a(), a()), a()))
      (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(a(), f(f(f(a(), a()), a()), x)))}
     EDG:
      {}
      EDG:
       {}
       STATUS:
        arrows: 1.000000
        SCCS (0):