MAYBE
Time: 0.053587
TRS:
 {f(a(), f(x, a())) -> f(x, f(f(f(a(), a()), a()), a()))}
 DP:
  DP:
   {f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a())),
    f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), a()),
    f#(a(), f(x, a())) -> f#(f(a(), a()), a()),
    f#(a(), f(x, a())) -> f#(a(), a())}
  TRS:
  {f(a(), f(x, a())) -> f(x, f(f(f(a(), a()), a()), a()))}
  UR:
   {}
   EDG:
    {(f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), a()), f#(a(), f(x, a())) -> f#(a(), a()))
     (f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), a()), f#(a(), f(x, a())) -> f#(f(a(), a()), a()))
     (f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), a()), f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), a()))
     (f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), a()), f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), 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(), 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()), a()))
     (f#(a(), f(x, a())) -> f#(a(), a()), f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a())))
     (f#(a(), f(x, a())) -> f#(f(a(), a()), a()), f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a())))
     (f#(a(), f(x, a())) -> f#(f(a(), a()), a()), f#(a(), f(x, a())) -> f#(f(f(a(), 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#(f(a(), a()), a()), f#(a(), f(x, a())) -> f#(a(), a()))
     (f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a())), f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a())))
     (f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a())), f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), a()))
     (f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a())), f#(a(), f(x, a())) -> f#(f(a(), a()), a()))
     (f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a())), f#(a(), f(x, a())) -> f#(a(), a()))}
    STATUS:
     arrows: 0.000000
     SCCS (1):
      Scc:
       {f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a())),
        f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), a()),
        f#(a(), f(x, a())) -> f#(f(a(), a()), a()),
        f#(a(), f(x, a())) -> f#(a(), a())}
      
      SCC (4):
       Strict:
        {f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a())),
         f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), a()),
         f#(a(), f(x, a())) -> f#(f(a(), a()), a()),
         f#(a(), f(x, a())) -> f#(a(), a())}
       Weak:
       {f(a(), f(x, a())) -> f(x, f(f(f(a(), a()), a()), a()))}
       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#(f(a(), a()), a())
         1 + 0x >= 0
         f#(a(), f(x, a())) -> f#(f(f(a(), a()), a()), a())
         1 + 0x >= 0
         f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a()))
         1 + 0x >= 1 + 0x
        Weak:
         f(a(), f(x, a())) -> f(x, f(f(f(a(), a()), a()), a()))
         1 + 0x >= 1 + 0x
       SCCS (1):
        Scc:
         {f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a()))}
        
        SCC (1):
         Strict:
          {f#(a(), f(x, a())) -> f#(x, f(f(f(a(), a()), a()), a()))}
         Weak:
         {f(a(), f(x, a())) -> f(x, f(f(f(a(), a()), a()), a()))}
         Fail