MAYBE
Time: 0.001585
TRS:
 {f(f(a(), x), a()) -> f(f(a(), f(a(), f(a(), a()))), x)}
 DP:
  DP:
   {f#(f(a(), x), a()) -> f#(f(a(), f(a(), f(a(), a()))), x),
    f#(f(a(), x), a()) -> f#(a(), f(a(), f(a(), a()))),
    f#(f(a(), x), a()) -> f#(a(), f(a(), a())),
    f#(f(a(), x), a()) -> f#(a(), a())}
  TRS:
  {f(f(a(), x), a()) -> f(f(a(), f(a(), f(a(), a()))), x)}
  EDG:
   {(f#(f(a(), x), a()) -> f#(f(a(), f(a(), f(a(), a()))), x), f#(f(a(), x), a()) -> f#(a(), a()))
    (f#(f(a(), x), a()) -> f#(f(a(), f(a(), f(a(), a()))), x), f#(f(a(), x), a()) -> f#(a(), f(a(), a())))
    (f#(f(a(), x), a()) -> f#(f(a(), f(a(), f(a(), a()))), x), f#(f(a(), x), a()) -> f#(a(), f(a(), f(a(), a()))))
    (f#(f(a(), x), a()) -> f#(f(a(), f(a(), f(a(), a()))), x), f#(f(a(), x), a()) -> f#(f(a(), f(a(), f(a(), a()))), x))}
   STATUS:
    arrows: 0.750000
    SCCS (1):
     Scc:
      {f#(f(a(), x), a()) -> f#(f(a(), f(a(), f(a(), a()))), x)}
     
     SCC (1):
      Strict:
       {f#(f(a(), x), a()) -> f#(f(a(), f(a(), f(a(), a()))), x)}
      Weak:
      {f(f(a(), x), a()) -> f(f(a(), f(a(), f(a(), a()))), x)}
      Open