MAYBE
Time: 0.001235
TRS:
 {f(f(a(), a()), x) -> f(x, f(f(a(), f(a(), a())), a()))}
 DP:
  DP:
   {f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())),
    f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()),
    f#(f(a(), a()), x) -> f#(a(), f(a(), a()))}
  TRS:
  {f(f(a(), a()), x) -> f(x, f(f(a(), f(a(), a())), a()))}
  EDG:
   {(f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())), f#(f(a(), a()), x) -> f#(a(), f(a(), a())))
    (f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())), f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()))
    (f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())), f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())))
    (f#(f(a(), a()), x) -> f#(a(), f(a(), a())), f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())))
    (f#(f(a(), a()), x) -> f#(a(), f(a(), a())), f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()))
    (f#(f(a(), a()), x) -> f#(a(), f(a(), a())), f#(f(a(), a()), x) -> f#(a(), f(a(), a())))
    (f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()), f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())))
    (f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()), f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()))
    (f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()), f#(f(a(), a()), x) -> f#(a(), f(a(), a())))}
   STATUS:
    arrows: 0.000000
    SCCS (1):
     Scc:
      {f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())),
       f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()),
       f#(f(a(), a()), x) -> f#(a(), f(a(), a()))}
     
     SCC (3):
      Strict:
       {f#(f(a(), a()), x) -> f#(x, f(f(a(), f(a(), a())), a())),
        f#(f(a(), a()), x) -> f#(f(a(), f(a(), a())), a()),
        f#(f(a(), a()), x) -> f#(a(), f(a(), a()))}
      Weak:
      {f(f(a(), a()), x) -> f(x, f(f(a(), f(a(), a())), a()))}
      Open