YES

Problem:
 +(0(),y) -> y
 +(s(x),0()) -> s(x)
 +(s(x),s(y)) -> s(+(s(x),+(y,0())))

Proof:
 DP Processor:
  DPs:
   +#(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())))
  SCC Processor:
   #sccs: 1
   #rules: 2
   #arcs: 4/4
   DPs:
    +#(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())))
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [+#](x0, x1) = x1,
     
     [s](x0) = 1,
     
     [+](x0, x1) = x1 + 1,
     
     [0] = 0
    orientation:
     +#(s(x),s(y)) = 1 >= 0 = +#(y,0())
     
     +#(s(x),s(y)) = 1 >= 1 = +#(s(x),+(y,0()))
     
     +(0(),y) = y + 1 >= y = y
     
     +(s(x),0()) = 1 >= 1 = s(x)
     
     +(s(x),s(y)) = 2 >= 1 = s(+(s(x),+(y,0())))
    problem:
     DPs:
      +#(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())))
    Matrix Interpretation Processor:
     dimension: 1
     interpretation:
      [+#](x0, x1) = x0 + x1 + 1,
      
      [s](x0) = x0 + 1,
      
      [+](x0, x1) = x0 + x1,
      
      [0] = 0
     orientation:
      +#(s(x),s(y)) = x + y + 3 >= x + y + 2 = +#(s(x),+(y,0()))
      
      +(0(),y) = y >= y = y
      
      +(s(x),0()) = x + 1 >= x + 1 = s(x)
      
      +(s(x),s(y)) = x + y + 2 >= x + y + 2 = s(+(s(x),+(y,0())))
     problem:
      DPs:
       
      TRS:
       +(0(),y) -> y
       +(s(x),0()) -> s(x)
       +(s(x),s(y)) -> s(+(s(x),+(y,0())))
     Qed