YES
Time: 0.001913
TRS:
 {f(a(), f(x, a())) -> f(a(), f(f(a(), a()), x))}
 DP:
  DP:
   {f#(a(), f(x, a())) -> f#(f(a(), a()), x),
    f#(a(), f(x, a())) -> f#(a(), f(f(a(), a()), x)),
    f#(a(), f(x, a())) -> f#(a(), a())}
  TRS:
  {f(a(), f(x, a())) -> f(a(), f(f(a(), a()), x))}
  EDG:
   {(f#(a(), f(x, a())) -> f#(a(), f(f(a(), a()), x)), f#(a(), f(x, a())) -> f#(f(a(), a()), x))
    (f#(a(), f(x, a())) -> f#(a(), f(f(a(), a()), x)), f#(a(), f(x, a())) -> f#(a(), f(f(a(), a()), x)))
    (f#(a(), f(x, a())) -> f#(a(), f(f(a(), a()), x)), f#(a(), f(x, a())) -> f#(a(), a()))}
   EDG:
    {}
    EDG:
     {}
     STATUS:
      arrows: 1.000000
      SCCS (0):