YES
Time: 0.001801
TRS:
 {f(x, f(a(), a())) -> f(f(f(f(a(), a()), a()), x), a())}
 DP:
  DP:
   {f#(x, f(a(), a())) -> f#(f(f(f(a(), a()), a()), x), a()),
    f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x),
    f#(x, f(a(), a())) -> f#(f(a(), a()), a())}
  TRS:
  {f(x, f(a(), a())) -> f(f(f(f(a(), a()), a()), x), a())}
  EDG:
   {(f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(f(f(f(a(), a()), a()), x), a()))
    (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()))}
   EDG:
    {}
    EDG:
     {}
     STATUS:
      arrows: 1.000000
      SCCS (0):