YES

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

Proof:
 Church Rosser Transformation Processor (critical pair closing system, Thm 2.4):
  +(0(),x62) -> x62
  +(x63,0()) -> x63
  +(x64,s(x65)) -> s(+(x64,x65))
  +(s(x66),x67) -> s(+(x66,x67))
  critical peaks: joinable
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [+](x0, x1) = 7x0 + 4x1,
    
    [0] = 0,
    
    [s](x0) = x0 + 4
   orientation:
    +(0(),x62) = 4x62 >= x62 = x62
    
    +(x63,0()) = 7x63 >= x63 = x63
    
    +(x64,s(x65)) = 7x64 + 4x65 + 16 >= 7x64 + 4x65 + 4 = s(+(x64,x65))
    
    +(s(x66),x67) = 7x66 + 4x67 + 28 >= 7x66 + 4x67 + 4 = s(+(x66,x67))
   problem:
    +(0(),x62) -> x62
    +(x63,0()) -> x63
   Matrix Interpretation Processor: dim=1
    
    interpretation:
     [+](x0, x1) = x0 + x1 + 3,
     
     [0] = 4
    orientation:
     +(0(),x62) = x62 + 7 >= x62 = x62
     
     +(x63,0()) = x63 + 7 >= x63 = x63
    problem:
     
    Qed