MAYBE
Time: 0.012745
TRS:
 {f(x, f(y, a())) -> f(f(a(), a()), f(f(x, a()), y))}
 DP:
  DP:
   {f#(x, f(y, a())) -> f#(x, a()),
    f#(x, f(y, a())) -> f#(f(x, a()), y),
    f#(x, f(y, a())) -> f#(f(a(), a()), f(f(x, a()), y)),
    f#(x, f(y, a())) -> f#(a(), a())}
  TRS:
  {f(x, f(y, a())) -> f(f(a(), a()), f(f(x, a()), y))}
  UR:
   {f(x, f(y, a())) -> f(f(a(), a()), f(f(x, a()), y))}
   EDG:
    {(f#(x, f(y, a())) -> f#(f(a(), a()), f(f(x, a()), y)), f#(x, f(y, a())) -> f#(a(), a()))
     (f#(x, f(y, a())) -> f#(f(a(), a()), f(f(x, a()), y)), f#(x, f(y, a())) -> f#(f(a(), a()), f(f(x, a()), y)))
     (f#(x, f(y, a())) -> f#(f(a(), a()), f(f(x, a()), y)), f#(x, f(y, a())) -> f#(f(x, a()), y))
     (f#(x, f(y, a())) -> f#(f(a(), a()), f(f(x, a()), y)), f#(x, f(y, a())) -> f#(x, a()))
     (f#(x, f(y, a())) -> f#(f(x, a()), y), f#(x, f(y, a())) -> f#(x, a()))
     (f#(x, f(y, a())) -> f#(f(x, a()), y), f#(x, f(y, a())) -> f#(f(x, a()), y))
     (f#(x, f(y, a())) -> f#(f(x, a()), y), f#(x, f(y, a())) -> f#(f(a(), a()), f(f(x, a()), y)))
     (f#(x, f(y, a())) -> f#(f(x, a()), y), f#(x, f(y, a())) -> f#(a(), a()))}
    STATUS:
     arrows: 0.500000
     SCCS (1):
      Scc:
       {f#(x, f(y, a())) -> f#(f(x, a()), y),
        f#(x, f(y, a())) -> f#(f(a(), a()), f(f(x, a()), y))}
      
      SCC (2):
       Strict:
        {f#(x, f(y, a())) -> f#(f(x, a()), y),
         f#(x, f(y, a())) -> f#(f(a(), a()), f(f(x, a()), y))}
       Weak:
       {f(x, f(y, a())) -> f(f(a(), a()), f(f(x, a()), y))}
       Fail