YES
Time: 0.000559
TRS:
 {f(g(x, y), x, z) -> f(z, z, z),
           g(x, y) -> x,
           g(x, y) -> y}
 DP:
  DP:
   {f#(g(x, y), x, z) -> f#(z, z, z)}
  TRS:
  {f(g(x, y), x, z) -> f(z, z, z),
            g(x, y) -> x,
            g(x, y) -> y}
  UR:
   {}
   EDG:
    {(f#(g(x, y), x, z) -> f#(z, z, z), f#(g(x, y), x, z) -> f#(z, z, z))}
    EDG:
     {}
     EDG:
      {}
      EDG:
       {}
       STATUS:
        arrows: 1.000000
        SCCS (0):