YES
Time: 0.001756
TRS:
 {f(f(a(), a()), x) -> f(a(), f(x, f(a(), f(a(), a()))))}
 DP:
  DP:
   {f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))),
    f#(f(a(), a()), x) -> f#(a(), f(x, f(a(), f(a(), a())))),
    f#(f(a(), a()), x) -> f#(a(), f(a(), a()))}
  TRS:
  {f(f(a(), a()), x) -> f(a(), f(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#(a(), 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#(a(), f(a(), a())))}
   EDG:
    {}
    EDG:
     {}
     STATUS:
      arrows: 1.000000
      SCCS (0):