MAYBE
TRS:
 {   g(x) -> a(),
  g(f(x)) -> x,
     f(x) -> g(f(x))}
 DP:
  Strict:
   {f#(x) -> g#(f(x)),
    f#(x) -> f#(x)}
  Weak:
  {   g(x) -> a(),
   g(f(x)) -> x,
      f(x) -> g(f(x))}
  EDG:
   {(f#(x) -> f#(x), f#(x) -> g#(f(x)))
    (f#(x) -> f#(x), f#(x) -> f#(x))}
   SCCS:
    Scc:
     {f#(x) -> f#(x)}
    SCC:
     Strict:
      {f#(x) -> f#(x)}
     Weak:
     {   g(x) -> a(),
      g(f(x)) -> x,
         f(x) -> g(f(x))}
     Fail