YES
TRS:
 {f(g(x)) -> g(g(g(x))),
  f(g(x)) -> g(g(f(x)))}
 DP:
  Strict:
   {f#(g(x)) -> f#(x)}
  Weak:
  {f(g(x)) -> g(g(g(x))),
   f(g(x)) -> g(g(f(x)))}
  EDG:
   {(f#(g(x)) -> f#(x), f#(g(x)) -> f#(x))}
   SCCS:
    Scc:
     {f#(g(x)) -> f#(x)}
    SCC:
     Strict:
      {f#(g(x)) -> f#(x)}
     Weak:
     {f(g(x)) -> g(g(g(x))),
      f(g(x)) -> g(g(f(x)))}
     SPSC:
      Simple Projection:
       pi(f#) = 0
      Strict:
       {}
      Qed