MAYBE
Time: 0.007680
TRS:
 {f(x, f(a(), y)) -> f(f(y, f(f(a(), a()), a())), x)}
 DP:
  DP:
   {f#(x, f(a(), y)) -> f#(y, f(f(a(), a()), a())),
    f#(x, f(a(), y)) -> f#(f(y, f(f(a(), a()), a())), x),
    f#(x, f(a(), y)) -> f#(f(a(), a()), a()),
    f#(x, f(a(), y)) -> f#(a(), a())}
  TRS:
  {f(x, f(a(), y)) -> f(f(y, f(f(a(), a()), a())), x)}
  UR:
   {}
   EDG:
    {(f#(x, f(a(), y)) -> f#(f(y, f(f(a(), a()), a())), x), f#(x, f(a(), y)) -> f#(y, f(f(a(), a()), a())))
     (f#(x, f(a(), y)) -> f#(f(y, f(f(a(), a()), a())), x), f#(x, f(a(), y)) -> f#(f(y, f(f(a(), a()), a())), x))
     (f#(x, f(a(), y)) -> f#(f(y, f(f(a(), a()), a())), x), f#(x, f(a(), y)) -> f#(f(a(), a()), a()))
     (f#(x, f(a(), y)) -> f#(f(y, f(f(a(), a()), a())), x), f#(x, f(a(), y)) -> f#(a(), a()))}
    STATUS:
     arrows: 0.750000
     SCCS (1):
      Scc:
       {f#(x, f(a(), y)) -> f#(f(y, f(f(a(), a()), a())), x)}
      
      SCC (1):
       Strict:
        {f#(x, f(a(), y)) -> f#(f(y, f(f(a(), a()), a())), x)}
       Weak:
       {f(x, f(a(), y)) -> f(f(y, f(f(a(), a()), a())), x)}
       Fail