MAYBE
Time: 0.011955
TRS:
 {f(g x, x, y) -> f(y, y, g y),
         g g x -> g x}
 DP:
  DP:
   {f#(g x, x, y) -> f#(y, y, g y),
    f#(g x, x, y) -> g# y}
  TRS:
  {f(g x, x, y) -> f(y, y, g y),
          g g x -> g x}
  UR:
   {  g g x -> g x,
    a(z, w) -> z,
    a(z, w) -> w}
   EDG:
    {(f#(g x, x, y) -> f#(y, y, g y), f#(g x, x, y) -> f#(y, y, g y))
     (f#(g x, x, y) -> f#(y, y, g y), f#(g x, x, y) -> g# y)}
    STATUS:
     arrows: 0.500000
     SCCS (1):
      Scc:
       {f#(g x, x, y) -> f#(y, y, g y)}
      
      SCC (1):
       Strict:
        {f#(g x, x, y) -> f#(y, y, g y)}
       Weak:
       {f(g x, x, y) -> f(y, y, g y),
               g g x -> g x}
       Fail