YES

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

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [+](x0, x1) = x0 + x1 + 3,
   
   [f](x0) = x0,
   
   [*](x0, x1) = x0 + x1,
   
   [0] = 0,
   
   [s](x0) = x0
  orientation:
   f(0()) = 0 >= 0 = s(0())
   
   f(s(0())) = 0 >= 0 = s(s(0()))
   
   f(s(0())) = 0 >= 0 = *(s(s(0())),f(0()))
   
   f(+(x,s(0()))) = x + 3 >= x + 3 = +(s(s(0())),f(x))
   
   f(+(x,y)) = x + y + 3 >= x + y = *(f(x),f(y))
  problem:
   f(0()) -> s(0())
   f(s(0())) -> s(s(0()))
   f(s(0())) -> *(s(s(0())),f(0()))
   f(+(x,s(0()))) -> +(s(s(0())),f(x))
  Matrix Interpretation Processor: dim=3
   
   interpretation:
                  [1 1 0]     [1 0 0]     [0]
    [+](x0, x1) = [0 0 1]x0 + [0 1 0]x1 + [0]
                  [0 0 0]     [0 0 0]     [1],
    
              [1 1 0]     [1]
    [f](x0) = [1 1 0]x0 + [0]
              [1 1 0]     [1],
    
                  [1 0 0]     [1 0 0]  
    [*](x0, x1) = [0 0 0]x0 + [0 0 0]x1
                  [0 0 0]     [0 0 0]  ,
    
          [0]
    [0] = [0]
          [0],
    
              [1 0 0]  
    [s](x0) = [0 0 0]x0
              [0 0 0]  
   orientation:
             [1]    [0]         
    f(0()) = [0] >= [0] = s(0())
             [1]    [0]         
    
                [1]    [0]            
    f(s(0())) = [0] >= [0] = s(s(0()))
                [1]    [0]            
    
                [1]    [1]                      
    f(s(0())) = [0] >= [0] = *(s(s(0())),f(0()))
                [1]    [0]                      
    
                     [1 1 1]    [1]    [1 1 0]    [1]                    
    f(+(x,s(0()))) = [1 1 1]x + [0] >= [1 1 0]x + [0] = +(s(s(0())),f(x))
                     [1 1 1]    [1]    [0 0 0]    [1]                    
   problem:
    f(s(0())) -> *(s(s(0())),f(0()))
    f(+(x,s(0()))) -> +(s(s(0())),f(x))
   Matrix Interpretation Processor: dim=3
    
    interpretation:
                        [1 0 0]  
     [+](x0, x1) = x0 + [0 1 0]x1
                        [0 0 0]  ,
     
               [1 1 0]  
     [f](x0) = [0 0 1]x0
               [0 1 0]  ,
     
                   [1 0 0]     [1 1 0]  
     [*](x0, x1) = [0 0 0]x0 + [0 0 0]x1
                   [0 0 1]     [0 0 0]  ,
     
           [0]
     [0] = [0]
           [1],
     
               [1 0 0]  
     [s](x0) = [0 0 1]x0
               [0 1 0]  
    orientation:
                 [1]    [1]                      
     f(s(0())) = [0] >= [0] = *(s(s(0())),f(0()))
                 [1]    [1]                      
     
                      [1 1 0]    [1]    [1 1 0]    [0]                    
     f(+(x,s(0()))) = [0 0 1]x + [0] >= [0 0 1]x + [0] = +(s(s(0())),f(x))
                      [0 1 0]    [1]    [0 0 0]    [1]                    
    problem:
     f(s(0())) -> *(s(s(0())),f(0()))
    Matrix Interpretation Processor: dim=3
     
     interpretation:
                [1 0 1]  
      [f](x0) = [0 0 0]x0
                [0 0 0]  ,
      
                    [1 0 0]     [1 0 0]  
      [*](x0, x1) = [0 0 0]x0 + [0 0 0]x1
                    [0 0 0]     [0 0 0]  ,
      
            [0]
      [0] = [0]
            [0],
      
                [1 0 0]     [0]
      [s](x0) = [0 0 0]x0 + [0]
                [0 0 0]     [1]
     orientation:
                  [1]    [0]                      
      f(s(0())) = [0] >= [0] = *(s(s(0())),f(0()))
                  [0]    [0]                      
     problem:
      
     Qed