YES

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

Proof:
 Church Rosser Transformation Processor (critical pair closing system, Thm 2.11):
  +(s(x28),x29) -> s(+(x28,x29))
  s(s(x32)) -> x32
  critical peaks: joinable
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [+](x0, x1) = 4x0 + x1 + 4,
    
    [s](x0) = x0 + 4
   orientation:
    +(s(x28),x29) = 4x28 + x29 + 20 >= 4x28 + x29 + 8 = s(+(x28,x29))
    
    s(s(x32)) = x32 + 8 >= x32 = x32
   problem:
    
   Qed