YES
Time: 0.004867
TRS:
 {f s s x -> f f s x,
  f s 0() -> s 0(),
    f 0() -> s 0()}
 DP:
  DP:
   {f# s s x -> f# s x,
    f# s s x -> f# f s x}
  TRS:
  {f s s x -> f f s x,
   f s 0() -> s 0(),
     f 0() -> s 0()}
  EDG:
   {(f# s s x -> f# s x, f# s s x -> f# f s x)
    (f# s s x -> f# s x, f# s s x -> f# s x)
    (f# s s x -> f# f s x, f# s s x -> f# s x)
    (f# s s x -> f# f s x, f# s s x -> f# f s x)}
   SCCS (1):
    Scc:
     {f# s s x -> f# s x,
      f# s s x -> f# f s x}
    SCC (2):
     Strict:
      {f# s s x -> f# s x,
       f# s s x -> f# f s x}
     Weak:
     {f s s x -> f f s x,
      f s 0() -> s 0(),
        f 0() -> s 0()}
     POLY:
      Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
      Interpretation:
       [s](x0) = x0 + 1,
       
       [f](x0) = 1,
       
       [0] = 0,
       
       [f#](x0) = x0
      Strict:
       f# s s x -> f# f s x
       2 + 1x >= 1 + 0x
       f# s s x -> f# s x
       2 + 1x >= 1 + 1x
      Weak:
       
     Qed