MAYBE
Time: 0.000590
TRS:
 {f(f(x, a()), y) -> f(f(a(), y), f(a(), x))}
 DP:
  DP:
   {f#(f(x, a()), y) -> f#(f(a(), y), f(a(), x)),
    f#(f(x, a()), y) -> f#(a(), y),
    f#(f(x, a()), y) -> f#(a(), x)}
  TRS:
  {f(f(x, a()), y) -> f(f(a(), y), f(a(), x))}
  UR:
   {}
   EDG:
    {(f#(f(x, a()), y) -> f#(f(a(), y), f(a(), x)), f#(f(x, a()), y) -> f#(f(a(), y), f(a(), x)))
     (f#(f(x, a()), y) -> f#(f(a(), y), f(a(), x)), f#(f(x, a()), y) -> f#(a(), y))
     (f#(f(x, a()), y) -> f#(f(a(), y), f(a(), x)), f#(f(x, a()), y) -> f#(a(), x))}
    STATUS:
     arrows: 0.666667
     SCCS (1):
      Scc:
       {f#(f(x, a()), y) -> f#(f(a(), y), f(a(), x))}
      
      SCC (1):
       Strict:
        {f#(f(x, a()), y) -> f#(f(a(), y), f(a(), x))}
       Weak:
       {f(f(x, a()), y) -> f(f(a(), y), f(a(), x))}
       Open