YES
Time: 0.004616
TRS:
 {  +(0(), y) -> y,
  +(s x, 0()) -> s x,
  +(s x, s y) -> s +(s x, +(y, 0()))}
 DP:
  DP:
   {+#(s x, s y) -> +#(y, 0()),
    +#(s x, s y) -> +#(s x, +(y, 0()))}
  TRS:
  {  +(0(), y) -> y,
   +(s x, 0()) -> s x,
   +(s x, s y) -> s +(s x, +(y, 0()))}
  EDG:
   {(+#(s x, s y) -> +#(s x, +(y, 0())), +#(s x, s y) -> +#(y, 0()))
    (+#(s x, s y) -> +#(s x, +(y, 0())), +#(s x, s y) -> +#(s x, +(y, 0())))}
   SCCS (1):
    Scc:
     {+#(s x, s y) -> +#(s x, +(y, 0()))}
    SCC (1):
     Strict:
      {+#(s x, s y) -> +#(s x, +(y, 0()))}
     Weak:
     {  +(0(), y) -> y,
      +(s x, 0()) -> s x,
      +(s x, s y) -> s +(s x, +(y, 0()))}
     POLY:
      Mode: weak, max_in=1, output_bits=-1, dnum=1, ur=true
      Interpretation:
       [+](x0, x1) = x0 + x1,
       
       [s](x0) = x0 + 1,
       
       [0] = 0,
       
       [+#](x0, x1) = x0 + x1 + 1
      Strict:
       +#(s x, s y) -> +#(s x, +(y, 0()))
       3 + 1y + 1x >= 2 + 1y + 1x
      Weak:
       
     Qed