MAYBE
TRS:
 {f(f(x, a()), a()) -> f(f(f(a(), f(a(), a())), a()), x)}
 DP:
  Strict:
   {f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x),
    f#(f(x, a()), a()) -> f#(f(a(), f(a(), a())), a()),
    f#(f(x, a()), a()) -> f#(a(), f(a(), a())),
    f#(f(x, a()), a()) -> f#(a(), a())}
  Weak:
  {f(f(x, a()), a()) -> f(f(f(a(), f(a(), a())), a()), x)}
  EDG:
   {(f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x), f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x))
    (f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x), f#(f(x, a()), a()) -> f#(f(a(), f(a(), a())), a()))
    (f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x), f#(f(x, a()), a()) -> f#(a(), f(a(), a())))
    (f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x), f#(f(x, a()), a()) -> f#(a(), a()))}
   SCCS:
    Scc:
     {f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x)}
    SCC:
     Strict:
      {f#(f(x, a()), a()) -> f#(f(f(a(), f(a(), a())), a()), x)}
     Weak:
     {f(f(x, a()), a()) -> f(f(f(a(), f(a(), a())), a()), x)}
     Fail