MAYBE
Time: 37.660331
TRS:
 {f(f(a(), a()), x) -> f(x, f(a(), f(a(), a())))}
 DP:
  DP:
   {f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))),
    f#(f(a(), a()), x) -> f#(a(), f(a(), a()))}
  TRS:
  {f(f(a(), a()), x) -> f(x, f(a(), f(a(), a())))}
  UR:
   {}
   EDG:
    {(f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))), f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))))
     (f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a()))), f#(f(a(), a()), x) -> f#(a(), f(a(), a())))}
    STATUS:
     arrows: 0.500000
     SCCS (1):
      Scc:
       {f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a())))}
      
      SCC (1):
       Strict:
        {f#(f(a(), a()), x) -> f#(x, f(a(), f(a(), a())))}
       Weak:
       {f(f(a(), a()), x) -> f(x, f(a(), f(a(), a())))}
       Open