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