MAYBE
Time: 0.026996
TRS:
 {f(x, f(a(), y)) -> f(a(), f(f(a(), h f(a(), x)), y))}
 DP:
  DP:
   {f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y),
    f#(x, f(a(), y)) -> f#(a(), x),
    f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y)),
    f#(x, f(a(), y)) -> f#(a(), h f(a(), x))}
  TRS:
  {f(x, f(a(), y)) -> f(a(), f(f(a(), h f(a(), x)), y))}
  UR:
   {f(x, f(a(), y)) -> f(a(), f(f(a(), h f(a(), x)), y))}
   EDG:
    {(f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y), f#(x, f(a(), y)) -> f#(a(), h f(a(), x)))
     (f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y), f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y)))
     (f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y), f#(x, f(a(), y)) -> f#(a(), x))
     (f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y), f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y))
     (f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y)), f#(x, f(a(), y)) -> f#(a(), h f(a(), x)))
     (f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y)), f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y)))
     (f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y)), f#(x, f(a(), y)) -> f#(a(), x))
     (f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y)), f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y))
     (f#(x, f(a(), y)) -> f#(a(), x), f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y))
     (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(a(), h f(a(), x)), y)))
     (f#(x, f(a(), y)) -> f#(a(), x), f#(x, f(a(), y)) -> f#(a(), h f(a(), x)))}
    STATUS:
     arrows: 0.250000
     SCCS (1):
      Scc:
       {f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y),
        f#(x, f(a(), y)) -> f#(a(), x),
        f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y))}
      
      SCC (3):
       Strict:
        {f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y),
         f#(x, f(a(), y)) -> f#(a(), x),
         f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y))}
       Weak:
       {f(x, f(a(), y)) -> f(a(), f(f(a(), h f(a(), x)), y))}
       POLY:
        Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
        Interpretation:
         [f](x0, x1) = x0 + 1,
         
         [h](x0) = 0,
         
         [a] = 0,
         
         [f#](x0, x1) = x0 + x1
        Strict:
         f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y))
         1 + 1x + 1y >= 1 + 0x + 1y
         f#(x, f(a(), y)) -> f#(a(), x)
         1 + 1x + 1y >= 0 + 1x
         f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y)
         1 + 1x + 1y >= 1 + 0x + 1y
        Weak:
         f(x, f(a(), y)) -> f(a(), f(f(a(), h f(a(), x)), y))
         2 + 0x + 1y >= 2 + 0x + 1y
       SCCS (1):
        Scc:
         {f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y),
          f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y))}
        
        SCC (2):
         Strict:
          {f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y),
           f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y))}
         Weak:
         {f(x, f(a(), y)) -> f(a(), f(f(a(), h f(a(), x)), y))}
         POLY:
          Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
          Interpretation:
           [f](x0, x1) = x0 + 1,
           
           [h](x0) = 1,
           
           [a] = 0,
           
           [f#](x0, x1) = x0
          Strict:
           f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y))
           1 + 0x + 1y >= 1 + 0x + 1y
           f#(x, f(a(), y)) -> f#(f(a(), h f(a(), x)), y)
           1 + 0x + 1y >= 0 + 0x + 1y
          Weak:
           f(x, f(a(), y)) -> f(a(), f(f(a(), h f(a(), x)), y))
           2 + 0x + 1y >= 2 + 0x + 1y
         SCCS (1):
          Scc:
           {f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y))}
          
          SCC (1):
           Strict:
            {f#(x, f(a(), y)) -> f#(a(), f(f(a(), h f(a(), x)), y))}
           Weak:
           {f(x, f(a(), y)) -> f(a(), f(f(a(), h f(a(), x)), y))}
           Fail