YES
Time: 0.002989
TRS:
 {     g(x, y) -> x,
       g(x, y) -> y,
  f(s x, y, y) -> f(y, x, s x)}
 DP:
  DP:
   {f#(s x, y, y) -> f#(y, x, s x)}
  TRS:
  {     g(x, y) -> x,
        g(x, y) -> y,
   f(s x, y, y) -> f(y, x, s x)}
  EDG:
   {(f#(s x, y, y) -> f#(y, x, s x), f#(s x, y, y) -> f#(y, x, s x))}
   SCCS (1):
    Scc:
     {f#(s x, y, y) -> f#(y, x, s x)}
    SCC (1):
     Strict:
      {f#(s x, y, y) -> f#(y, x, s x)}
     Weak:
     {     g(x, y) -> x,
           g(x, y) -> y,
      f(s x, y, y) -> f(y, x, s x)}
     POLY:
      Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
      Interpretation:
       [f](x0, x1, x2) = x0 + x1 + 1,
       
       [g](x0, x1) = 0,
       
       [s](x0) = x0 + 1,
       
       [f#](x0, x1, x2) = x0 + x1
      Strict:
       f#(s x, y, y) -> f#(y, x, s x)
       1 + 1x + 1y >= 0 + 1x + 1y
      Weak:
       
     Qed