MAYBE
Time: 0.021250
TRS:
 {f(x, f(a(), y)) -> f(a(), f(f(f(a(), a()), y), x))}
 DP:
  DP:
   {f#(x, f(a(), y)) -> f#(f(f(a(), a()), y), x),
    f#(x, f(a(), y)) -> f#(f(a(), a()), y),
    f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), a()), y), x)),
    f#(x, f(a(), y)) -> f#(a(), a())}
  TRS:
  {f(x, f(a(), y)) -> f(a(), f(f(f(a(), a()), y), x))}
  UR:
   {f(x, f(a(), y)) -> f(a(), f(f(f(a(), a()), y), x))}
   EDG:
    {(f#(x, f(a(), y)) -> f#(f(a(), a()), y), f#(x, f(a(), y)) -> f#(a(), a()))
     (f#(x, f(a(), y)) -> f#(f(a(), a()), y), f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), a()), y), x)))
     (f#(x, f(a(), y)) -> f#(f(a(), a()), y), f#(x, f(a(), y)) -> f#(f(a(), a()), y))
     (f#(x, f(a(), y)) -> f#(f(a(), a()), y), f#(x, f(a(), y)) -> f#(f(f(a(), a()), y), x))
     (f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), a()), y), x)), f#(x, f(a(), y)) -> f#(f(f(a(), a()), y), x))
     (f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), a()), y), x)), f#(x, f(a(), y)) -> f#(f(a(), a()), y))
     (f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), a()), y), x)), f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), a()), y), x)))
     (f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), a()), y), x)), f#(x, f(a(), y)) -> f#(a(), a()))
     (f#(x, f(a(), y)) -> f#(f(f(a(), a()), y), x), f#(x, f(a(), y)) -> f#(f(f(a(), a()), y), x))
     (f#(x, f(a(), y)) -> f#(f(f(a(), a()), y), x), f#(x, f(a(), y)) -> f#(f(a(), a()), y))
     (f#(x, f(a(), y)) -> f#(f(f(a(), a()), y), x), f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), a()), y), x)))
     (f#(x, f(a(), y)) -> f#(f(f(a(), a()), y), x), f#(x, f(a(), y)) -> f#(a(), a()))}
    STATUS:
     arrows: 0.250000
     SCCS (1):
      Scc:
       {f#(x, f(a(), y)) -> f#(f(f(a(), a()), y), x),
        f#(x, f(a(), y)) -> f#(f(a(), a()), y),
        f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), a()), y), x))}
      
      SCC (3):
       Strict:
        {f#(x, f(a(), y)) -> f#(f(f(a(), a()), y), x),
         f#(x, f(a(), y)) -> f#(f(a(), a()), y),
         f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), a()), y), x))}
       Weak:
       {f(x, f(a(), y)) -> f(a(), f(f(f(a(), a()), y), x))}
       Open