YES
Time: 0.000678
TRS:
 {f(0(), y) -> 0(),
  f(s x, y) -> f(f(x, y), y)}
 DP:
  DP:
   {f#(s x, y) -> f#(x, y),
    f#(s x, y) -> f#(f(x, y), y)}
  TRS:
  {f(0(), y) -> 0(),
   f(s x, y) -> f(f(x, y), y)}
  EDG:
   {(f#(s x, y) -> f#(x, y), f#(s x, y) -> f#(f(x, y), y))
    (f#(s x, y) -> f#(x, y), f#(s x, y) -> f#(x, y))}
   SCCS (1):
    Scc:
     {f#(s x, y) -> f#(x, y)}
    SCC (1):
     Strict:
      {f#(s x, y) -> f#(x, y)}
     Weak:
     {f(0(), y) -> 0(),
      f(s x, y) -> f(f(x, y), y)}
     SPSC:
      Simple Projection:
       pi(f#) = 0
      Strict:
       {}
      Qed