MAYBE
Time: 0.005987
TRS:
 {f(x, f(a(), a())) -> f(a(), f(f(f(a(), a()), a()), x))}
 DP:
  DP:
   {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x),
    f#(x, f(a(), a())) -> f#(f(a(), a()), a()),
    f#(x, f(a(), a())) -> f#(a(), f(f(f(a(), a()), a()), x))}
  TRS:
  {f(x, f(a(), a())) -> f(a(), f(f(f(a(), a()), a()), x))}
  UR:
   {f(x, f(a(), a())) -> f(a(), f(f(f(a(), a()), a()), x))}
   EDG:
    {(f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x))
     (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(f(a(), a()), a()))
     (f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x), f#(x, f(a(), a())) -> f#(a(), f(f(f(a(), a()), a()), x)))}
    STATUS:
     arrows: 0.666667
     SCCS (1):
      Scc:
       {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x)}
      
      SCC (1):
       Strict:
        {f#(x, f(a(), a())) -> f#(f(f(a(), a()), a()), x)}
       Weak:
       {f(x, f(a(), a())) -> f(a(), f(f(f(a(), a()), a()), x))}
       Fail