MAYBE
Time: 0.001933
TRS:
 {ack(s x, s y) -> ack(x, ack(s x, y)),
  ack(s x, 0()) -> ack(x, s 0()),
    ack(0(), y) -> s y}
 DP:
  DP:
   {ack#(s x, s y) -> ack#(x, ack(s x, y)),
    ack#(s x, s y) -> ack#(s x, y),
    ack#(s x, 0()) -> ack#(x, s 0())}
  TRS:
  {ack(s x, s y) -> ack(x, ack(s x, y)),
   ack(s x, 0()) -> ack(x, s 0()),
     ack(0(), y) -> s y}
  EDG:
   {(ack#(s x, s y) -> ack#(s x, y), ack#(s x, 0()) -> ack#(x, s 0()))
    (ack#(s x, s y) -> ack#(s x, y), ack#(s x, s y) -> ack#(s x, y))
    (ack#(s x, s y) -> ack#(s x, y), ack#(s x, s y) -> ack#(x, ack(s x, y)))
    (ack#(s x, 0()) -> ack#(x, s 0()), ack#(s x, s y) -> ack#(x, ack(s x, y)))
    (ack#(s x, 0()) -> ack#(x, s 0()), ack#(s x, s y) -> ack#(s x, y))
    (ack#(s x, 0()) -> ack#(x, s 0()), ack#(s x, 0()) -> ack#(x, s 0()))
    (ack#(s x, s y) -> ack#(x, ack(s x, y)), ack#(s x, s y) -> ack#(x, ack(s x, y)))
    (ack#(s x, s y) -> ack#(x, ack(s x, y)), ack#(s x, s y) -> ack#(s x, y))
    (ack#(s x, s y) -> ack#(x, ack(s x, y)), ack#(s x, 0()) -> ack#(x, s 0()))}
   EDG:
    {(ack#(s x, s y) -> ack#(s x, y), ack#(s x, 0()) -> ack#(x, s 0()))
     (ack#(s x, s y) -> ack#(s x, y), ack#(s x, s y) -> ack#(s x, y))
     (ack#(s x, s y) -> ack#(s x, y), ack#(s x, s y) -> ack#(x, ack(s x, y)))
     (ack#(s x, 0()) -> ack#(x, s 0()), ack#(s x, s y) -> ack#(x, ack(s x, y)))
     (ack#(s x, 0()) -> ack#(x, s 0()), ack#(s x, s y) -> ack#(s x, y))
     (ack#(s x, s y) -> ack#(x, ack(s x, y)), ack#(s x, s y) -> ack#(x, ack(s x, y)))
     (ack#(s x, s y) -> ack#(x, ack(s x, y)), ack#(s x, s y) -> ack#(s x, y))}
    EDG:
     {(ack#(s x, s y) -> ack#(s x, y), ack#(s x, 0()) -> ack#(x, s 0()))
      (ack#(s x, s y) -> ack#(s x, y), ack#(s x, s y) -> ack#(s x, y))
      (ack#(s x, s y) -> ack#(s x, y), ack#(s x, s y) -> ack#(x, ack(s x, y)))
      (ack#(s x, 0()) -> ack#(x, s 0()), ack#(s x, s y) -> ack#(x, ack(s x, y)))
      (ack#(s x, 0()) -> ack#(x, s 0()), ack#(s x, s y) -> ack#(s x, y))
      (ack#(s x, s y) -> ack#(x, ack(s x, y)), ack#(s x, s y) -> ack#(x, ack(s x, y)))
      (ack#(s x, s y) -> ack#(x, ack(s x, y)), ack#(s x, s y) -> ack#(s x, y))}
     EDG:
      {(ack#(s x, s y) -> ack#(s x, y), ack#(s x, 0()) -> ack#(x, s 0()))
       (ack#(s x, s y) -> ack#(s x, y), ack#(s x, s y) -> ack#(s x, y))
       (ack#(s x, s y) -> ack#(s x, y), ack#(s x, s y) -> ack#(x, ack(s x, y)))
       (ack#(s x, 0()) -> ack#(x, s 0()), ack#(s x, s y) -> ack#(x, ack(s x, y)))
       (ack#(s x, 0()) -> ack#(x, s 0()), ack#(s x, s y) -> ack#(s x, y))
       (ack#(s x, s y) -> ack#(x, ack(s x, y)), ack#(s x, s y) -> ack#(x, ack(s x, y)))
       (ack#(s x, s y) -> ack#(x, ack(s x, y)), ack#(s x, s y) -> ack#(s x, y))}
      STATUS:
       arrows: 0.222222
       SCCS (1):
        Scc:
         {ack#(s x, s y) -> ack#(x, ack(s x, y)),
          ack#(s x, s y) -> ack#(s x, y),
          ack#(s x, 0()) -> ack#(x, s 0())}
        
        SCC (3):
         Strict:
          {ack#(s x, s y) -> ack#(x, ack(s x, y)),
           ack#(s x, s y) -> ack#(s x, y),
           ack#(s x, 0()) -> ack#(x, s 0())}
         Weak:
         {ack(s x, s y) -> ack(x, ack(s x, y)),
          ack(s x, 0()) -> ack(x, s 0()),
            ack(0(), y) -> s y}
         Open