YES

Problem:
 not(true()) -> false()
 not(false()) -> true()
 odd(0()) -> false()
 odd(s(x)) -> not(odd(x))
 +(x,0()) -> x
 +(x,s(y)) -> s(+(x,y))
 +(s(x),y) -> s(+(x,y))

Proof:
 DP Processor:
  DPs:
   odd#(s(x)) -> odd#(x)
   odd#(s(x)) -> not#(odd(x))
   +#(x,s(y)) -> +#(x,y)
   +#(s(x),y) -> +#(x,y)
  TRS:
   not(true()) -> false()
   not(false()) -> true()
   odd(0()) -> false()
   odd(s(x)) -> not(odd(x))
   +(x,0()) -> x
   +(x,s(y)) -> s(+(x,y))
   +(s(x),y) -> s(+(x,y))
  Usable Rule Processor:
   DPs:
    odd#(s(x)) -> odd#(x)
    odd#(s(x)) -> not#(odd(x))
    +#(x,s(y)) -> +#(x,y)
    +#(s(x),y) -> +#(x,y)
   TRS:
    odd(0()) -> false()
    odd(s(x)) -> not(odd(x))
    not(true()) -> false()
    not(false()) -> true()
   Matrix Interpretation Processor: dim=3
    
    usable rules:
     odd(0()) -> false()
     odd(s(x)) -> not(odd(x))
     not(true()) -> false()
     not(false()) -> true()
    interpretation:
     [+#](x0, x1) = [1 1 0]x0 + [1 0 0]x1,
     
     [odd#](x0) = [1 0 0]x0,
     
     [not#](x0) = [0 0 1]x0,
     
               [1 0 0]     [1]
     [s](x0) = [1 1 1]x0 + [1]
               [0 0 0]     [0],
     
                 [1 0 0]  
     [odd](x0) = [0 0 0]x0
                 [1 0 0]  ,
     
           [0]
     [0] = [0]
           [0],
     
               [0]
     [false] = [0]
               [0],
     
                 [0 0 1]     [1]
     [not](x0) = [0 0 0]x0 + [0]
                 [1 0 0]     [1],
     
              [0]
     [true] = [0]
              [1]
    orientation:
     odd#(s(x)) = [1 0 0]x + [1] >= [1 0 0]x = odd#(x)
     
     odd#(s(x)) = [1 0 0]x + [1] >= [1 0 0]x = not#(odd(x))
     
     +#(x,s(y)) = [1 1 0]x + [1 0 0]y + [1] >= [1 1 0]x + [1 0 0]y = +#(x,y)
     
     +#(s(x),y) = [2 1 1]x + [1 0 0]y + [2] >= [1 1 0]x + [1 0 0]y = +#(x,y)
     
                [0]    [0]          
     odd(0()) = [0] >= [0] = false()
                [0]    [0]          
     
                 [1 0 0]    [1]    [1 0 0]    [1]              
     odd(s(x)) = [0 0 0]x + [0] >= [0 0 0]x + [0] = not(odd(x))
                 [1 0 0]    [1]    [1 0 0]    [1]              
     
                   [2]    [0]          
     not(true()) = [0] >= [0] = false()
                   [1]    [0]          
     
                    [1]    [0]         
     not(false()) = [0] >= [0] = true()
                    [1]    [1]         
    problem:
     DPs:
      
     TRS:
      odd(0()) -> false()
      odd(s(x)) -> not(odd(x))
      not(true()) -> false()
      not(false()) -> true()
    Qed