MAYBE
Time: 0.026920
TRS:
 {f(y, f(x, y)) -> f(f(a(), y), f(a(), x))}
 DP:
  DP:
   {f#(y, f(x, y)) -> f#(f(a(), y), f(a(), x)),
    f#(y, f(x, y)) -> f#(a(), y),
    f#(y, f(x, y)) -> f#(a(), x)}
  TRS:
  {f(y, f(x, y)) -> f(f(a(), y), f(a(), x))}
  UR:
   {f(y, f(x, y)) -> f(f(a(), y), f(a(), x))}
   EDG:
    {(f#(y, f(x, y)) -> f#(a(), x), f#(y, f(x, y)) -> f#(a(), x))
     (f#(y, f(x, y)) -> f#(a(), x), f#(y, f(x, y)) -> f#(a(), y))
     (f#(y, f(x, y)) -> f#(a(), x), f#(y, f(x, y)) -> f#(f(a(), y), f(a(), x)))
     (f#(y, f(x, y)) -> f#(a(), y), f#(y, f(x, y)) -> f#(f(a(), y), f(a(), x)))
     (f#(y, f(x, y)) -> f#(a(), y), f#(y, f(x, y)) -> f#(a(), y))
     (f#(y, f(x, y)) -> f#(a(), y), f#(y, f(x, y)) -> f#(a(), x))
     (f#(y, f(x, y)) -> f#(f(a(), y), f(a(), x)), f#(y, f(x, y)) -> f#(f(a(), y), f(a(), x)))
     (f#(y, f(x, y)) -> f#(f(a(), y), f(a(), x)), f#(y, f(x, y)) -> f#(a(), y))
     (f#(y, f(x, y)) -> f#(f(a(), y), f(a(), x)), f#(y, f(x, y)) -> f#(a(), x))}
    STATUS:
     arrows: 0.000000
     SCCS (1):
      Scc:
       {f#(y, f(x, y)) -> f#(f(a(), y), f(a(), x)),
        f#(y, f(x, y)) -> f#(a(), y),
        f#(y, f(x, y)) -> f#(a(), x)}
      
      SCC (3):
       Strict:
        {f#(y, f(x, y)) -> f#(f(a(), y), f(a(), x)),
         f#(y, f(x, y)) -> f#(a(), y),
         f#(y, f(x, y)) -> f#(a(), x)}
       Weak:
       {f(y, f(x, y)) -> f(f(a(), y), f(a(), x))}
       Open