MAYBE
Time: 0.000978
TRS:
 {f(f(x, a()), a()) -> f(f(f(x, a()), f(a(), a())), a())}
 DP:
  DP:
   {f#(f(x, a()), a()) -> f#(f(x, a()), f(a(), a())),
    f#(f(x, a()), a()) -> f#(f(f(x, a()), f(a(), a())), a()),
    f#(f(x, a()), a()) -> f#(a(), a())}
  TRS:
  {f(f(x, a()), a()) -> f(f(f(x, a()), f(a(), a())), a())}
  EDG:
   {(f#(f(x, a()), a()) -> f#(a(), a()), f#(f(x, a()), a()) -> f#(a(), a()))
    (f#(f(x, a()), a()) -> f#(a(), a()), f#(f(x, a()), a()) -> f#(f(f(x, a()), f(a(), a())), a()))
    (f#(f(x, a()), a()) -> f#(a(), a()), f#(f(x, a()), a()) -> f#(f(x, a()), f(a(), a())))
    (f#(f(x, a()), a()) -> f#(f(x, a()), f(a(), a())), f#(f(x, a()), a()) -> f#(f(x, a()), f(a(), a())))
    (f#(f(x, a()), a()) -> f#(f(x, a()), f(a(), a())), f#(f(x, a()), a()) -> f#(f(f(x, a()), f(a(), a())), a()))
    (f#(f(x, a()), a()) -> f#(f(x, a()), f(a(), a())), f#(f(x, a()), a()) -> f#(a(), a()))
    (f#(f(x, a()), a()) -> f#(f(f(x, a()), f(a(), a())), a()), f#(f(x, a()), a()) -> f#(f(x, a()), f(a(), a())))
    (f#(f(x, a()), a()) -> f#(f(f(x, a()), f(a(), a())), a()), f#(f(x, a()), a()) -> f#(f(f(x, a()), f(a(), a())), a()))
    (f#(f(x, a()), a()) -> f#(f(f(x, a()), f(a(), a())), a()), f#(f(x, a()), a()) -> f#(a(), a()))}
   STATUS:
    arrows: 0.000000
    SCCS (1):
     Scc:
      {f#(f(x, a()), a()) -> f#(f(x, a()), f(a(), a())),
       f#(f(x, a()), a()) -> f#(f(f(x, a()), f(a(), a())), a()),
       f#(f(x, a()), a()) -> f#(a(), a())}
     
     SCC (3):
      Strict:
       {f#(f(x, a()), a()) -> f#(f(x, a()), f(a(), a())),
        f#(f(x, a()), a()) -> f#(f(f(x, a()), f(a(), a())), a()),
        f#(f(x, a()), a()) -> f#(a(), a())}
      Weak:
      {f(f(x, a()), a()) -> f(f(f(x, a()), f(a(), a())), a())}
      Open