MAYBE
Time: 0.000574
TRS:
 {f(f(x, a()), y) -> f(y, f(x, y))}
 DP:
  DP:
   {f#(f(x, a()), y) -> f#(y, f(x, y)),
    f#(f(x, a()), y) -> f#(x, y)}
  TRS:
  {f(f(x, a()), y) -> f(y, f(x, y))}
  UR:
   {f(f(x, a()), y) -> f(y, f(x, y)),
            b(z, w) -> z,
            b(z, w) -> w}
   EDG:
    {(f#(f(x, a()), y) -> f#(x, y), f#(f(x, a()), y) -> f#(x, y))
     (f#(f(x, a()), y) -> f#(x, y), f#(f(x, a()), y) -> f#(y, f(x, y)))
     (f#(f(x, a()), y) -> f#(y, f(x, y)), f#(f(x, a()), y) -> f#(y, f(x, y)))
     (f#(f(x, a()), y) -> f#(y, f(x, y)), f#(f(x, a()), y) -> f#(x, y))}
    STATUS:
     arrows: 0.000000
     SCCS (1):
      Scc:
       {f#(f(x, a()), y) -> f#(y, f(x, y)),
        f#(f(x, a()), y) -> f#(x, y)}
      
      SCC (2):
       Strict:
        {f#(f(x, a()), y) -> f#(y, f(x, y)),
         f#(f(x, a()), y) -> f#(x, y)}
       Weak:
       {f(f(x, a()), y) -> f(y, f(x, y))}
       Open