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:
   [odd](x0) = x0 + 2,
   
   [not](x0) = x0,
   
   [0] = 2,
   
   [s](x0) = x0,
   
   [true] = 4,
   
   [+](x0, x1) = x0 + x1 + 7,
   
   [false] = 4
  orientation:
   not(true()) = 4 >= 4 = false()
   
   not(false()) = 4 >= 4 = true()
   
   odd(0()) = 4 >= 4 = false()
   
   odd(s(x)) = x + 2 >= x + 2 = not(odd(x))
   
   +(x,0()) = x + 9 >= x = x
   
   +(x,s(y)) = x + y + 7 >= x + y + 7 = s(+(x,y))
   
   +(s(x),y) = x + y + 7 >= x + y + 7 = 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:
    [odd](x0) = x0 + 4,
    
    [not](x0) = x0,
    
    [0] = 2,
    
    [s](x0) = x0,
    
    [true] = 0,
    
    [+](x0, x1) = x0 + 4x1 + 4,
    
    [false] = 0
   orientation:
    not(true()) = 0 >= 0 = false()
    
    not(false()) = 0 >= 0 = true()
    
    odd(0()) = 6 >= 0 = false()
    
    odd(s(x)) = x + 4 >= x + 4 = not(odd(x))
    
    +(x,s(y)) = x + 4y + 4 >= x + 4y + 4 = s(+(x,y))
    
    +(s(x),y) = x + 4y + 4 >= x + 4y + 4 = s(+(x,y))
   problem:
    not(true()) -> false()
    not(false()) -> true()
    odd(s(x)) -> not(odd(x))
    +(x,s(y)) -> s(+(x,y))
    +(s(x),y) -> s(+(x,y))
   Matrix Interpretation Processor: dim=3
    
    interpretation:
                 [1 1 1]  
     [odd](x0) = [1 1 1]x0
                 [0 0 0]  ,
     
                 [1 0 1]  
     [not](x0) = [1 0 0]x0
                 [0 0 1]  ,
     
               [1 0 0]     [0]
     [s](x0) = [0 0 1]x0 + [0]
               [0 1 0]     [1],
     
              [0]
     [true] = [0]
              [1],
     
                   [1 1 1]     [1 1 1]  
     [+](x0, x1) = [0 1 1]x0 + [0 1 1]x1
                   [0 1 1]     [0 1 1]  ,
     
               [0]
     [false] = [0]
               [1]
    orientation:
                   [1]    [0]          
     not(true()) = [0] >= [0] = false()
                   [1]    [1]          
     
                    [1]    [0]         
     not(false()) = [0] >= [0] = true()
                    [1]    [1]         
     
                 [1 1 1]    [1]    [1 1 1]               
     odd(s(x)) = [1 1 1]x + [1] >= [1 1 1]x = not(odd(x))
                 [0 0 0]    [0]    [0 0 0]               
     
                 [1 1 1]    [1 1 1]    [1]    [1 1 1]    [1 1 1]    [0]            
     +(x,s(y)) = [0 1 1]x + [0 1 1]y + [1] >= [0 1 1]x + [0 1 1]y + [0] = s(+(x,y))
                 [0 1 1]    [0 1 1]    [1]    [0 1 1]    [0 1 1]    [1]            
     
                 [1 1 1]    [1 1 1]    [1]    [1 1 1]    [1 1 1]    [0]            
     +(s(x),y) = [0 1 1]x + [0 1 1]y + [1] >= [0 1 1]x + [0 1 1]y + [0] = s(+(x,y))
                 [0 1 1]    [0 1 1]    [1]    [0 1 1]    [0 1 1]    [1]            
    problem:
     
    Qed