YES
Time: 0.001409
TRS:
 {f s x -> s s g x,
  f 0() -> s 0(),
  g s x -> f x,
  g 0() -> 0()}
 DP:
  DP:
   {f# s x -> g# x,
    g# s x -> f# x}
  TRS:
  {f s x -> s s g x,
   f 0() -> s 0(),
   g s x -> f x,
   g 0() -> 0()}
  EDG:
   {(g# s x -> f# x, f# s x -> g# x)
    (f# s x -> g# x, g# s x -> f# x)}
   SCCS (1):
    Scc:
     {f# s x -> g# x,
      g# s x -> f# x}
    SCC (2):
     Strict:
      {f# s x -> g# x,
       g# s x -> f# x}
     Weak:
     {f s x -> s s g x,
      f 0() -> s 0(),
      g s x -> f x,
      g 0() -> 0()}
     SPSC:
      Simple Projection:
       pi(g#) = 0, pi(f#) = 0
      Strict:
       {g# s x -> f# x}
      EDG:
       {}
       SCCS (0):
        
        Qed