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:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [+](x0, x1) = x0 + 2x1 + 5,
   
   [s](x0) = x0,
   
   [odd](x0) = x0,
   
   [0] = 6,
   
   [false] = 6,
   
   [not](x0) = x0,
   
   [true] = 6
  orientation:
   not(true()) = 6 >= 6 = false()
   
   not(false()) = 6 >= 6 = true()
   
   odd(0()) = 6 >= 6 = false()
   
   odd(s(x)) = x >= x = not(odd(x))
   
   +(x,0()) = x + 17 >= x = x
   
   +(x,s(y)) = x + 2y + 5 >= x + 2y + 5 = s(+(x,y))
   
   +(s(x),y) = x + 2y + 5 >= x + 2y + 5 = s(+(x,y))
  problem:
   not(true()) -> false()
   not(false()) -> true()
   odd(0()) -> false()
   odd(s(x)) -> not(odd(x))
   +(x,s(y)) -> s(+(x,y))
   +(s(x),y) -> s(+(x,y))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [+](x0, x1) = 2x0 + x1,
    
    [s](x0) = x0 + 1,
    
    [odd](x0) = 4x0 + 2,
    
    [0] = 1,
    
    [false] = 6,
    
    [not](x0) = x0 + 4,
    
    [true] = 4
   orientation:
    not(true()) = 8 >= 6 = false()
    
    not(false()) = 10 >= 4 = true()
    
    odd(0()) = 6 >= 6 = false()
    
    odd(s(x)) = 4x + 6 >= 4x + 6 = not(odd(x))
    
    +(x,s(y)) = 2x + y + 1 >= 2x + y + 1 = s(+(x,y))
    
    +(s(x),y) = 2x + y + 2 >= 2x + y + 1 = s(+(x,y))
   problem:
    odd(0()) -> false()
    odd(s(x)) -> not(odd(x))
    +(x,s(y)) -> s(+(x,y))
   Matrix Interpretation Processor: dim=1
    
    interpretation:
     [+](x0, x1) = 2x0 + 6x1 + 4,
     
     [s](x0) = x0 + 3,
     
     [odd](x0) = 4x0 + 4,
     
     [0] = 0,
     
     [false] = 4,
     
     [not](x0) = x0
    orientation:
     odd(0()) = 4 >= 4 = false()
     
     odd(s(x)) = 4x + 16 >= 4x + 4 = not(odd(x))
     
     +(x,s(y)) = 2x + 6y + 22 >= 2x + 6y + 7 = s(+(x,y))
    problem:
     odd(0()) -> false()
    Matrix Interpretation Processor: dim=3
     
     interpretation:
                  [1 0 0]     [1]
      [odd](x0) = [0 0 0]x0 + [0]
                  [0 0 0]     [0],
      
            [0]
      [0] = [0]
            [0],
      
                [0]
      [false] = [0]
                [0]
     orientation:
                 [1]    [0]          
      odd(0()) = [0] >= [0] = false()
                 [0]    [0]          
     problem:
      
     Qed