MAYBE
Time: 0.001543
TRS:
 {f(f(a(), x), a()) -> f(f(f(a(), a()), f(x, a())), a())}
 DP:
  DP:
   {f#(f(a(), x), a()) -> f#(x, a()),
    f#(f(a(), x), a()) -> f#(f(f(a(), a()), f(x, a())), a()),
    f#(f(a(), x), a()) -> f#(f(a(), a()), f(x, a())),
    f#(f(a(), x), a()) -> f#(a(), a())}
  TRS:
  {f(f(a(), x), a()) -> f(f(f(a(), a()), f(x, a())), a())}
  UR:
   {f(f(a(), x), a()) -> f(f(f(a(), a()), f(x, a())), a())}
   EDG:
    {(f#(f(a(), x), a()) -> f#(x, a()), f#(f(a(), x), a()) -> f#(a(), a()))
     (f#(f(a(), x), a()) -> f#(x, a()), f#(f(a(), x), a()) -> f#(f(a(), a()), f(x, a())))
     (f#(f(a(), x), a()) -> f#(x, a()), f#(f(a(), x), a()) -> f#(f(f(a(), a()), f(x, a())), a()))
     (f#(f(a(), x), a()) -> f#(x, a()), f#(f(a(), x), a()) -> f#(x, a()))
     (f#(f(a(), x), a()) -> f#(a(), a()), f#(f(a(), x), a()) -> f#(a(), a()))
     (f#(f(a(), x), a()) -> f#(a(), a()), f#(f(a(), x), a()) -> f#(f(a(), a()), f(x, a())))
     (f#(f(a(), x), a()) -> f#(a(), a()), f#(f(a(), x), a()) -> f#(f(f(a(), a()), f(x, a())), a()))
     (f#(f(a(), x), a()) -> f#(a(), a()), f#(f(a(), x), a()) -> f#(x, a()))
     (f#(f(a(), x), a()) -> f#(f(f(a(), a()), f(x, a())), a()), f#(f(a(), x), a()) -> f#(x, a()))
     (f#(f(a(), x), a()) -> f#(f(f(a(), a()), f(x, a())), a()), f#(f(a(), x), a()) -> f#(f(f(a(), a()), f(x, a())), a()))
     (f#(f(a(), x), a()) -> f#(f(f(a(), a()), f(x, a())), a()), f#(f(a(), x), a()) -> f#(f(a(), a()), f(x, a())))
     (f#(f(a(), x), a()) -> f#(f(f(a(), a()), f(x, a())), a()), f#(f(a(), x), a()) -> f#(a(), a()))
     (f#(f(a(), x), a()) -> f#(f(a(), a()), f(x, a())), f#(f(a(), x), a()) -> f#(x, a()))
     (f#(f(a(), x), a()) -> f#(f(a(), a()), f(x, a())), f#(f(a(), x), a()) -> f#(f(f(a(), a()), f(x, a())), a()))
     (f#(f(a(), x), a()) -> f#(f(a(), a()), f(x, a())), f#(f(a(), x), a()) -> f#(f(a(), a()), f(x, a())))
     (f#(f(a(), x), a()) -> f#(f(a(), a()), f(x, a())), f#(f(a(), x), a()) -> f#(a(), a()))}
    STATUS:
     arrows: 0.000000
     SCCS (1):
      Scc:
       {f#(f(a(), x), a()) -> f#(x, a()),
        f#(f(a(), x), a()) -> f#(f(f(a(), a()), f(x, a())), a()),
        f#(f(a(), x), a()) -> f#(f(a(), a()), f(x, a())),
        f#(f(a(), x), a()) -> f#(a(), a())}
      
      SCC (4):
       Strict:
        {f#(f(a(), x), a()) -> f#(x, a()),
         f#(f(a(), x), a()) -> f#(f(f(a(), a()), f(x, a())), a()),
         f#(f(a(), x), a()) -> f#(f(a(), a()), f(x, a())),
         f#(f(a(), x), a()) -> f#(a(), a())}
       Weak:
       {f(f(a(), x), a()) -> f(f(f(a(), a()), f(x, a())), a())}
       Open