YES

Problem:
 a__and(tt(),X) -> mark(X)
 a__plus(N,0()) -> mark(N)
 a__plus(N,s(M)) -> s(a__plus(mark(N),mark(M)))
 mark(and(X1,X2)) -> a__and(mark(X1),X2)
 mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2))
 mark(tt()) -> tt()
 mark(0()) -> 0()
 mark(s(X)) -> s(mark(X))
 a__and(X1,X2) -> and(X1,X2)
 a__plus(X1,X2) -> plus(X1,X2)

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [plus](x0, x1) = x0 + x1,
   
   [and](x0, x1) = x0 + x1 + 4,
   
   [s](x0) = x0,
   
   [a__plus](x0, x1) = x0 + x1,
   
   [0] = 1,
   
   [mark](x0) = x0,
   
   [a__and](x0, x1) = x0 + x1 + 4,
   
   [tt] = 1
  orientation:
   a__and(tt(),X) = X + 5 >= X = mark(X)
   
   a__plus(N,0()) = N + 1 >= N = mark(N)
   
   a__plus(N,s(M)) = M + N >= M + N = s(a__plus(mark(N),mark(M)))
   
   mark(and(X1,X2)) = X1 + X2 + 4 >= X1 + X2 + 4 = a__and(mark(X1),X2)
   
   mark(plus(X1,X2)) = X1 + X2 >= X1 + X2 = a__plus(mark(X1),mark(X2))
   
   mark(tt()) = 1 >= 1 = tt()
   
   mark(0()) = 1 >= 1 = 0()
   
   mark(s(X)) = X >= X = s(mark(X))
   
   a__and(X1,X2) = X1 + X2 + 4 >= X1 + X2 + 4 = and(X1,X2)
   
   a__plus(X1,X2) = X1 + X2 >= X1 + X2 = plus(X1,X2)
  problem:
   a__plus(N,s(M)) -> s(a__plus(mark(N),mark(M)))
   mark(and(X1,X2)) -> a__and(mark(X1),X2)
   mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2))
   mark(tt()) -> tt()
   mark(0()) -> 0()
   mark(s(X)) -> s(mark(X))
   a__and(X1,X2) -> and(X1,X2)
   a__plus(X1,X2) -> plus(X1,X2)
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [plus](x0, x1) = x0 + 2x1,
    
    [and](x0, x1) = x0 + x1,
    
    [s](x0) = x0 + 2,
    
    [a__plus](x0, x1) = x0 + 2x1,
    
    [0] = 3,
    
    [mark](x0) = x0,
    
    [a__and](x0, x1) = x0 + x1,
    
    [tt] = 6
   orientation:
    a__plus(N,s(M)) = 2M + N + 4 >= 2M + N + 2 = s(a__plus(mark(N),mark(M)))
    
    mark(and(X1,X2)) = X1 + X2 >= X1 + X2 = a__and(mark(X1),X2)
    
    mark(plus(X1,X2)) = X1 + 2X2 >= X1 + 2X2 = a__plus(mark(X1),mark(X2))
    
    mark(tt()) = 6 >= 6 = tt()
    
    mark(0()) = 3 >= 3 = 0()
    
    mark(s(X)) = X + 2 >= X + 2 = s(mark(X))
    
    a__and(X1,X2) = X1 + X2 >= X1 + X2 = and(X1,X2)
    
    a__plus(X1,X2) = X1 + 2X2 >= X1 + 2X2 = plus(X1,X2)
   problem:
    mark(and(X1,X2)) -> a__and(mark(X1),X2)
    mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2))
    mark(tt()) -> tt()
    mark(0()) -> 0()
    mark(s(X)) -> s(mark(X))
    a__and(X1,X2) -> and(X1,X2)
    a__plus(X1,X2) -> plus(X1,X2)
   Matrix Interpretation Processor: dim=1
    
    interpretation:
     [plus](x0, x1) = 5x0 + x1 + 2,
     
     [and](x0, x1) = 2x0 + x1,
     
     [s](x0) = 2x0,
     
     [a__plus](x0, x1) = 5x0 + x1 + 4,
     
     [0] = 2,
     
     [mark](x0) = 4x0,
     
     [a__and](x0, x1) = 2x0 + 4x1,
     
     [tt] = 0
    orientation:
     mark(and(X1,X2)) = 8X1 + 4X2 >= 8X1 + 4X2 = a__and(mark(X1),X2)
     
     mark(plus(X1,X2)) = 20X1 + 4X2 + 8 >= 20X1 + 4X2 + 4 = a__plus(mark(X1),mark(X2))
     
     mark(tt()) = 0 >= 0 = tt()
     
     mark(0()) = 8 >= 2 = 0()
     
     mark(s(X)) = 8X >= 8X = s(mark(X))
     
     a__and(X1,X2) = 2X1 + 4X2 >= 2X1 + X2 = and(X1,X2)
     
     a__plus(X1,X2) = 5X1 + X2 + 4 >= 5X1 + X2 + 2 = plus(X1,X2)
    problem:
     mark(and(X1,X2)) -> a__and(mark(X1),X2)
     mark(tt()) -> tt()
     mark(s(X)) -> s(mark(X))
     a__and(X1,X2) -> and(X1,X2)
    Matrix Interpretation Processor: dim=3
     
     interpretation:
                      [1 0 0]     [1 0 0]     [0]
      [and](x0, x1) = [0 0 1]x0 + [0 0 0]x1 + [1]
                      [0 1 0]     [0 0 0]     [0],
      
                     [0]
      [s](x0) = x0 + [0]
                     [1],
      
                   [1 1 1]  
      [mark](x0) = [0 1 0]x0
                   [0 0 1]  ,
      
                         [1 0 0]     [1 0 0]     [0]
      [a__and](x0, x1) = [0 0 1]x0 + [0 0 0]x1 + [1]
                         [0 1 0]     [0 0 0]     [0],
      
             [0]
      [tt] = [0]
             [1]
     orientation:
                         [1 1 1]     [1 0 0]     [1]    [1 1 1]     [1 0 0]     [0]                      
      mark(and(X1,X2)) = [0 0 1]X1 + [0 0 0]X2 + [1] >= [0 0 1]X1 + [0 0 0]X2 + [1] = a__and(mark(X1),X2)
                         [0 1 0]     [0 0 0]     [0]    [0 1 0]     [0 0 0]     [0]                      
      
                   [1]    [0]       
      mark(tt()) = [0] >= [0] = tt()
                   [1]    [1]       
      
                   [1 1 1]    [1]    [1 1 1]    [0]             
      mark(s(X)) = [0 1 0]X + [0] >= [0 1 0]X + [0] = s(mark(X))
                   [0 0 1]    [1]    [0 0 1]    [1]             
      
                      [1 0 0]     [1 0 0]     [0]    [1 0 0]     [1 0 0]     [0]             
      a__and(X1,X2) = [0 0 1]X1 + [0 0 0]X2 + [1] >= [0 0 1]X1 + [0 0 0]X2 + [1] = and(X1,X2)
                      [0 1 0]     [0 0 0]     [0]    [0 1 0]     [0 0 0]     [0]             
     problem:
      a__and(X1,X2) -> and(X1,X2)
     Matrix Interpretation Processor: dim=3
      
      interpretation:
                       [1 0 0]     [1 0 0]  
       [and](x0, x1) = [0 0 0]x0 + [0 0 0]x1
                       [0 0 0]     [0 0 0]  ,
       
                          [1 0 0]     [1 0 0]     [1]
       [a__and](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0]
                          [0 0 0]     [0 0 0]     [0]
      orientation:
                       [1 0 0]     [1 0 0]     [1]    [1 0 0]     [1 0 0]               
       a__and(X1,X2) = [0 0 0]X1 + [0 0 0]X2 + [0] >= [0 0 0]X1 + [0 0 0]X2 = and(X1,X2)
                       [0 0 0]     [0 0 0]     [0]    [0 0 0]     [0 0 0]               
      problem:
       
      Qed