MAYBE
Time: 0.007349
TRS:
 {f(x, f(y, a())) -> f(a(), f(f(f(x, a()), a()), y))}
 DP:
  DP:
   {f#(x, f(y, a())) -> f#(x, a()),
    f#(x, f(y, a())) -> f#(f(x, a()), a()),
    f#(x, f(y, a())) -> f#(f(f(x, a()), a()), y),
    f#(x, f(y, a())) -> f#(a(), f(f(f(x, a()), a()), y))}
  TRS:
  {f(x, f(y, a())) -> f(a(), f(f(f(x, a()), a()), y))}
  EDG:
   {(f#(x, f(y, a())) -> f#(a(), f(f(f(x, a()), a()), y)), f#(x, f(y, a())) -> f#(a(), f(f(f(x, a()), a()), y)))
    (f#(x, f(y, a())) -> f#(a(), f(f(f(x, a()), a()), y)), f#(x, f(y, a())) -> f#(f(f(x, a()), a()), y))
    (f#(x, f(y, a())) -> f#(a(), f(f(f(x, a()), a()), y)), f#(x, f(y, a())) -> f#(f(x, a()), a()))
    (f#(x, f(y, a())) -> f#(a(), f(f(f(x, a()), a()), y)), f#(x, f(y, a())) -> f#(x, a()))
    (f#(x, f(y, a())) -> f#(f(f(x, a()), a()), y), f#(x, f(y, a())) -> f#(x, a()))
    (f#(x, f(y, a())) -> f#(f(f(x, a()), a()), y), f#(x, f(y, a())) -> f#(f(x, a()), a()))
    (f#(x, f(y, a())) -> f#(f(f(x, a()), a()), y), f#(x, f(y, a())) -> f#(f(f(x, a()), a()), y))
    (f#(x, f(y, a())) -> f#(f(f(x, a()), a()), y), f#(x, f(y, a())) -> f#(a(), f(f(f(x, a()), a()), y)))}
   STATUS:
    arrows: 0.500000
    SCCS (1):
     Scc:
      {f#(x, f(y, a())) -> f#(f(f(x, a()), a()), y),
       f#(x, f(y, a())) -> f#(a(), f(f(f(x, a()), a()), y))}
     
     SCC (2):
      Strict:
       {f#(x, f(y, a())) -> f#(f(f(x, a()), a()), y),
        f#(x, f(y, a())) -> f#(a(), f(f(f(x, a()), a()), y))}
      Weak:
      {f(x, f(y, a())) -> f(a(), f(f(f(x, a()), a()), y))}
      Fail