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())))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [+#](x0, x1) = 2x1 + 5,
    
    [s](x0) = x0 + 6,
    
    [+](x0, x1) = x0 + 2x1,
    
    [0] = 0
   orientation:
    +#(s(x),s(y)) = 2y + 17 >= 5 = +#(y,0())
    
    +#(s(x),s(y)) = 2y + 17 >= 2y + 5 = +#(s(x),+(y,0()))
    
    +(0(),y) = 2y >= y = y
    
    +(s(x),0()) = x + 6 >= x + 6 = s(x)
    
    +(s(x),s(y)) = x + 2y + 18 >= x + 2y + 12 = 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