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