MAYBE
TRS:
 {f(x, f(a(), y)) -> f(a(), f(f(f(a(), x), h(a())), y))}
 DP:
  Strict:
   {f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y),
    f#(x, f(a(), y)) -> f#(f(a(), x), h(a())),
    f#(x, f(a(), y)) -> f#(a(), x),
    f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y))}
  Weak:
  {f(x, f(a(), y)) -> f(a(), f(f(f(a(), x), h(a())), y))}
  EDG:
   {(f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y), f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)))
    (f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y), f#(x, f(a(), y)) -> f#(a(), x))
    (f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y), f#(x, f(a(), y)) -> f#(f(a(), x), h(a())))
    (f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y), f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y))
    (f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)), f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)))
    (f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)), f#(x, f(a(), y)) -> f#(a(), x))
    (f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)), f#(x, f(a(), y)) -> f#(f(a(), x), h(a())))
    (f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)), f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y))
    (f#(x, f(a(), y)) -> f#(a(), x), f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y))
    (f#(x, f(a(), y)) -> f#(a(), x), f#(x, f(a(), y)) -> f#(f(a(), x), h(a())))
    (f#(x, f(a(), y)) -> f#(a(), x), f#(x, f(a(), y)) -> f#(a(), x))
    (f#(x, f(a(), y)) -> f#(a(), x), f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)))}
   SCCS:
    Scc:
     {f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y),
      f#(x, f(a(), y)) -> f#(a(), x),
      f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y))}
    SCC:
     Strict:
      {f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y),
       f#(x, f(a(), y)) -> f#(a(), x),
       f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y))}
     Weak:
     {f(x, f(a(), y)) -> f(a(), f(f(f(a(), x), h(a())), y))}
     POLY:
      Argument Filtering:
       pi(h) = [], pi(a) = [], pi(f#) = [0,1], pi(f) = [1]
      Usable Rules:
       {}
      Interpretation:
       [f#](x0, x1) = x0 + x1,
       [f](x0) = x0 + 1,
       [h] = 0,
       [a] = 0
      Strict:
       {f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y),
        f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y))}
      Weak:
       {f(x, f(a(), y)) -> f(a(), f(f(f(a(), x), h(a())), y))}
      EDG:
       {(f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)), f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)))
        (f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)), f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y))
        (f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y), f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y))
        (f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y), f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)))}
       SCCS:
        Scc:
         {f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y),
          f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y))}
        SCC:
         Strict:
          {f#(x, f(a(), y)) -> f#(f(f(a(), x), h(a())), y),
           f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y))}
         Weak:
         {f(x, f(a(), y)) -> f(a(), f(f(f(a(), x), h(a())), y))}
         POLY:
          Argument Filtering:
           pi(h) = [], pi(a) = [], pi(f#) = [1], pi(f) = [1]
          Usable Rules:
           {}
          Interpretation:
           [f#](x0) = x0 + 1,
           [f](x0) = x0 + 1
          Strict:
           {f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y))}
          Weak:
           {f(x, f(a(), y)) -> f(a(), f(f(f(a(), x), h(a())), y))}
          EDG:
           {(f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)), f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y)))}
           SCCS:
            Scc:
             {f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y))}
            SCC:
             Strict:
              {f#(x, f(a(), y)) -> f#(a(), f(f(f(a(), x), h(a())), y))}
             Weak:
             {f(x, f(a(), y)) -> f(a(), f(f(f(a(), x), h(a())), y))}
             Fail