MAYBE
Time: 0.021442
TRS:
 {f(n__a(), X, X) -> f(activate X, b(), n__b()),
       activate X -> X,
  activate n__b() -> b(),
  activate n__a() -> a(),
              b() -> n__b(),
              b() -> a(),
              a() -> n__a()}
 DP:
  DP:
   {f#(n__a(), X, X) -> f#(activate X, b(), n__b()),
    f#(n__a(), X, X) -> activate# X,
    f#(n__a(), X, X) -> b#(),
    activate# n__b() -> b#(),
    activate# n__a() -> a#(),
                b#() -> a#()}
  TRS:
  {f(n__a(), X, X) -> f(activate X, b(), n__b()),
        activate X -> X,
   activate n__b() -> b(),
   activate n__a() -> a(),
               b() -> n__b(),
               b() -> a(),
               a() -> n__a()}
  UR:
   {     activate X -> X,
    activate n__b() -> b(),
    activate n__a() -> a(),
                b() -> n__b(),
                b() -> a(),
                a() -> n__a()}
   EDG:
    {(f#(n__a(), X, X) -> activate# X, activate# n__a() -> a#())
     (f#(n__a(), X, X) -> activate# X, activate# n__b() -> b#())
     (activate# n__b() -> b#(), b#() -> a#())
     (f#(n__a(), X, X) -> b#(), b#() -> a#())
     (f#(n__a(), X, X) -> f#(activate X, b(), n__b()), f#(n__a(), X, X) -> f#(activate X, b(), n__b()))
     (f#(n__a(), X, X) -> f#(activate X, b(), n__b()), f#(n__a(), X, X) -> activate# X)
     (f#(n__a(), X, X) -> f#(activate X, b(), n__b()), f#(n__a(), X, X) -> b#())}
    STATUS:
     arrows: 0.805556
     SCCS (1):
      Scc:
       {f#(n__a(), X, X) -> f#(activate X, b(), n__b())}
      
      SCC (1):
       Strict:
        {f#(n__a(), X, X) -> f#(activate X, b(), n__b())}
       Weak:
       {f(n__a(), X, X) -> f(activate X, b(), n__b()),
             activate X -> X,
        activate n__b() -> b(),
        activate n__a() -> a(),
                    b() -> n__b(),
                    b() -> a(),
                    a() -> n__a()}
       Fail