MAYBE
Time: 0.000611
TRS:
 {  g x -> a(),
  g f x -> x,
    f x -> g f x}
 DP:
  DP:
   {f# x -> g# f x,
    f# x -> f# x}
  TRS:
  {  g x -> a(),
   g f x -> x,
     f x -> g f x}
  UR:
   {  g x -> a(),
    g f x -> x,
      f x -> g f x}
   EDG:
    {(f# x -> f# x, f# x -> f# x)
     (f# x -> f# x, f# x -> g# f x)}
    STATUS:
     arrows: 0.500000
     SCCS (1):
      Scc:
       {f# x -> f# x}
      
      SCC (1):
       Strict:
        {f# x -> f# x}
       Weak:
       {  g x -> a(),
        g f x -> x,
          f x -> g f x}
       Open