MAYBE
Time: 0.069376
TRS:
 {f(a(), f(x, a())) -> f(a(), f(f(f(a(), a()), a()), x))}
 DP:
  DP:
   {f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), x),
    f#(a(), f(x, a())) -> f#(f(a(), a()), a()),
    f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)),
    f#(a(), f(x, a())) -> f#(a(), a())}
  TRS:
  {f(a(), f(x, a())) -> f(a(), f(f(f(a(), a()), a()), x))}
  UR:
   {}
   EDG:
    {(f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)), f#(a(), f(x, a())) -> f#(a(), a()))
     (f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)), f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)))
     (f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)), f#(a(), f(x, a())) -> f#(f(a(), a()), a()))
     (f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)), f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), x))
     (f#(a(), f(x, a())) -> f#(a(), a()), f#(a(), f(x, a())) -> f#(a(), a()))
     (f#(a(), f(x, a())) -> f#(a(), a()), f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)))
     (f#(a(), f(x, a())) -> f#(a(), a()), f#(a(), f(x, a())) -> f#(f(a(), a()), a()))
     (f#(a(), f(x, a())) -> f#(a(), a()), f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), x))
     (f#(a(), f(x, a())) -> f#(f(a(), a()), a()), f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), x))
     (f#(a(), f(x, a())) -> f#(f(a(), a()), a()), f#(a(), f(x, a())) -> f#(f(a(), a()), a()))
     (f#(a(), f(x, a())) -> f#(f(a(), a()), a()), f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)))
     (f#(a(), f(x, a())) -> f#(f(a(), a()), a()), f#(a(), f(x, a())) -> f#(a(), a()))
     (f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), x), f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), x))
     (f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), x), f#(a(), f(x, a())) -> f#(f(a(), a()), a()))
     (f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), x), f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)))
     (f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), x), f#(a(), f(x, a())) -> f#(a(), a()))}
    STATUS:
     arrows: 0.000000
     SCCS (1):
      Scc:
       {f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), x),
        f#(a(), f(x, a())) -> f#(f(a(), a()), a()),
        f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)),
        f#(a(), f(x, a())) -> f#(a(), a())}
      
      SCC (4):
       Strict:
        {f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), x),
         f#(a(), f(x, a())) -> f#(f(a(), a()), a()),
         f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)),
         f#(a(), f(x, a())) -> f#(a(), a())}
       Weak:
       {f(a(), f(x, a())) -> f(a(), f(f(f(a(), a()), a()), x))}
       POLY:
        Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
        Interpretation:
         [f](x0, x1) = 0,
         
         [a] = 1,
         
         [f#](x0, x1) = x0 + 1
        Strict:
         f#(a(), f(x, a())) -> f#(a(), a())
         2 + 0x >= 2
         f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x))
         2 + 0x >= 2 + 0x
         f#(a(), f(x, a())) -> f#(f(a(), a()), a())
         2 + 0x >= 1
         f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), x)
         2 + 0x >= 1 + 0x
        Weak:
         f(a(), f(x, a())) -> f(a(), f(f(f(a(), a()), a()), x))
         0 + 0x >= 0 + 0x
       SCCS (1):
        Scc:
         {f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)),
          f#(a(), f(x, a())) -> f#(a(), a())}
        
        SCC (2):
         Strict:
          {f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x)),
           f#(a(), f(x, a())) -> f#(a(), a())}
         Weak:
         {f(a(), f(x, a())) -> f(a(), f(f(f(a(), a()), a()), x))}
         POLY:
          Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
          Interpretation:
           [f](x0, x1) = 1,
           
           [a] = 0,
           
           [f#](x0, x1) = x0
          Strict:
           f#(a(), f(x, a())) -> f#(a(), a())
           1 + 0x >= 0
           f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x))
           1 + 0x >= 1 + 0x
          Weak:
           f(a(), f(x, a())) -> f(a(), f(f(f(a(), a()), a()), x))
           1 + 0x >= 1 + 0x
         SCCS (1):
          Scc:
           {f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x))}
          
          SCC (1):
           Strict:
            {f#(a(), f(x, a())) -> f#(a(), f(f(f(a(), a()), a()), x))}
           Weak:
           {f(a(), f(x, a())) -> f(a(), f(f(f(a(), a()), a()), x))}
           Fail