YES

Problem:
 a__zeros() -> cons(0(),zeros())
 a__tail(cons(X,XS)) -> mark(XS)
 mark(zeros()) -> a__zeros()
 mark(tail(X)) -> a__tail(mark(X))
 mark(cons(X1,X2)) -> cons(mark(X1),X2)
 mark(0()) -> 0()
 a__zeros() -> zeros()
 a__tail(X) -> tail(X)

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [a__tail](x0) = 4x0,
   
   [0] = 0,
   
   [cons](x0, x1) = 4x0 + 4x1 + 1,
   
   [mark](x0) = 5x0,
   
   [a__zeros] = 5,
   
   [tail](x0) = 4x0,
   
   [zeros] = 1
  orientation:
   a__zeros() = 5 >= 5 = cons(0(),zeros())
   
   a__tail(cons(X,XS)) = 16X + 16XS + 4 >= 5XS = mark(XS)
   
   mark(zeros()) = 5 >= 5 = a__zeros()
   
   mark(tail(X)) = 20X >= 20X = a__tail(mark(X))
   
   mark(cons(X1,X2)) = 20X1 + 20X2 + 5 >= 20X1 + 4X2 + 1 = cons(mark(X1),X2)
   
   mark(0()) = 0 >= 0 = 0()
   
   a__zeros() = 5 >= 1 = zeros()
   
   a__tail(X) = 4X >= 4X = tail(X)
  problem:
   a__zeros() -> cons(0(),zeros())
   mark(zeros()) -> a__zeros()
   mark(tail(X)) -> a__tail(mark(X))
   mark(0()) -> 0()
   a__tail(X) -> tail(X)
  Matrix Interpretation Processor: dim=3
   
   interpretation:
                    [1 0 0]     [1]
    [a__tail](x0) = [0 0 0]x0 + [1]
                    [0 0 1]     [0],
    
          [0]
    [0] = [0]
          [0],
    
                     [1 0 0]     [1 0 0]  
    [cons](x0, x1) = [0 0 0]x0 + [0 0 0]x1
                     [0 0 0]     [0 0 0]  ,
    
                 [1 0 1]     [0]
    [mark](x0) = [0 1 0]x0 + [0]
                 [0 0 0]     [1],
    
                 [1]
    [a__zeros] = [0]
                 [0],
    
                 [1 0 0]     [1]
    [tail](x0) = [0 0 0]x0 + [1]
                 [0 0 1]     [0],
    
              [0]
    [zeros] = [0]
              [1]
   orientation:
                 [1]    [0]                    
    a__zeros() = [0] >= [0] = cons(0(),zeros())
                 [0]    [0]                    
    
                    [1]    [1]             
    mark(zeros()) = [0] >= [0] = a__zeros()
                    [1]    [0]             
    
                    [1 0 1]    [1]    [1 0 1]    [1]                   
    mark(tail(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = a__tail(mark(X))
                    [0 0 0]    [1]    [0 0 0]    [1]                   
    
                [0]    [0]      
    mark(0()) = [0] >= [0] = 0()
                [1]    [0]      
    
                 [1 0 0]    [1]    [1 0 0]    [1]          
    a__tail(X) = [0 0 0]X + [1] >= [0 0 0]X + [1] = tail(X)
                 [0 0 1]    [0]    [0 0 1]    [0]          
   problem:
    mark(zeros()) -> a__zeros()
    mark(tail(X)) -> a__tail(mark(X))
    mark(0()) -> 0()
    a__tail(X) -> tail(X)
   Matrix Interpretation Processor: dim=3
    
    interpretation:
                     [1 0 0]     [0]
     [a__tail](x0) = [0 0 0]x0 + [1]
                     [0 0 0]     [1],
     
           [0]
     [0] = [1]
           [1],
     
                  [1 0 0]     [0]
     [mark](x0) = [0 0 1]x0 + [0]
                  [0 0 0]     [1],
     
                  [0]
     [a__zeros] = [0]
                  [1],
     
                  [1 0 0]     [0]
     [tail](x0) = [0 0 0]x0 + [0]
                  [0 0 0]     [1],
     
               [1]
     [zeros] = [0]
               [0]
    orientation:
                     [1]    [0]             
     mark(zeros()) = [0] >= [0] = a__zeros()
                     [1]    [1]             
     
                     [1 0 0]    [0]    [1 0 0]    [0]                   
     mark(tail(X)) = [0 0 0]X + [1] >= [0 0 0]X + [1] = a__tail(mark(X))
                     [0 0 0]    [1]    [0 0 0]    [1]                   
     
                 [0]    [0]      
     mark(0()) = [1] >= [1] = 0()
                 [1]    [1]      
     
                  [1 0 0]    [0]    [1 0 0]    [0]          
     a__tail(X) = [0 0 0]X + [1] >= [0 0 0]X + [0] = tail(X)
                  [0 0 0]    [1]    [0 0 0]    [1]          
    problem:
     mark(tail(X)) -> a__tail(mark(X))
     mark(0()) -> 0()
     a__tail(X) -> tail(X)
    Matrix Interpretation Processor: dim=3
     
     interpretation:
                      [1 1 0]     [0]
      [a__tail](x0) = [0 1 0]x0 + [0]
                      [0 1 1]     [1],
      
            [0]
      [0] = [0]
            [1],
      
                   [1 1 1]  
      [mark](x0) = [0 0 0]x0
                   [0 0 1]  ,
      
                        [0]
      [tail](x0) = x0 + [0]
                        [1]
     orientation:
                      [1 1 1]    [1]    [1 1 1]    [0]                   
      mark(tail(X)) = [0 0 0]X + [0] >= [0 0 0]X + [0] = a__tail(mark(X))
                      [0 0 1]    [1]    [0 0 1]    [1]                   
      
                  [1]    [0]      
      mark(0()) = [0] >= [0] = 0()
                  [1]    [1]      
      
                   [1 1 0]    [0]        [0]          
      a__tail(X) = [0 1 0]X + [0] >= X + [0] = tail(X)
                   [0 1 1]    [1]        [1]          
     problem:
      a__tail(X) -> tail(X)
     Matrix Interpretation Processor: dim=3
      
      interpretation:
                       [1 0 0]     [1]
       [a__tail](x0) = [0 0 0]x0 + [0]
                       [0 0 1]     [0],
       
                    [1 0 0]  
       [tail](x0) = [0 0 0]x0
                    [0 0 0]  
      orientation:
                    [1 0 0]    [1]    [1 0 0]           
       a__tail(X) = [0 0 0]X + [0] >= [0 0 0]X = tail(X)
                    [0 0 1]    [0]    [0 0 0]           
      problem:
       
      Qed