YES

Problem:
 d(x) -> e(u(x))
 d(u(x)) -> c(x)
 c(u(x)) -> b(x)
 v(e(x)) -> x
 b(u(x)) -> a(e(x))

Proof:
 Arctic Interpretation Processor:
  dimension: 2
  interpretation:
             [0  -&]  
   [a](x0) = [-& -&]x0,
   
             [0  -&]  
   [v](x0) = [1  -&]x0,
   
             [2 1]  
   [b](x0) = [0 0]x0,
   
             [2 1]  
   [c](x0) = [2 1]x0,
   
             [0 1]  
   [e](x0) = [0 2]x0,
   
             [2  -&]  
   [u](x0) = [1  0 ]x0,
   
             [2 2]  
   [d](x0) = [3 2]x0
  orientation:
          [2 2]     [2 1]           
   d(x) = [3 2]x >= [3 2]x = e(u(x))
   
             [4 2]     [2 1]        
   d(u(x)) = [5 2]x >= [2 1]x = c(x)
   
             [4 1]     [2 1]        
   c(u(x)) = [4 1]x >= [0 0]x = b(x)
   
             [0 1]          
   v(e(x)) = [1 2]x >= x = x
   
             [4 1]     [0  1 ]           
   b(u(x)) = [2 0]x >= [-& -&]x = a(e(x))
  problem:
   d(x) -> e(u(x))
   c(u(x)) -> b(x)
   v(e(x)) -> x
   b(u(x)) -> a(e(x))
  Arctic Interpretation Processor:
   dimension: 2
   interpretation:
              [0  -&]  
    [a](x0) = [0  -&]x0,
    
              [0  2 ]  
    [v](x0) = [-& 0 ]x0,
    
              [0  -&]  
    [b](x0) = [0  0 ]x0,
    
              [1  -&]  
    [c](x0) = [0  2 ]x0,
    
              [0  -&]  
    [e](x0) = [-& 2 ]x0,
    
              [0 0]  
    [u](x0) = [1 0]x0,
    
              [0 0]  
    [d](x0) = [3 2]x0
   orientation:
           [0 0]     [0 0]           
    d(x) = [3 2]x >= [3 2]x = e(u(x))
    
              [1 1]     [0  -&]        
    c(u(x)) = [3 2]x >= [0  0 ]x = b(x)
    
              [0  4 ]          
    v(e(x)) = [-& 2 ]x >= x = x
    
              [0 0]     [0  -&]           
    b(u(x)) = [1 0]x >= [0  -&]x = a(e(x))
   problem:
    d(x) -> e(u(x))
    v(e(x)) -> x
    b(u(x)) -> a(e(x))
   Arctic Interpretation Processor:
    dimension: 2
    interpretation:
               [0  -&]  
     [a](x0) = [0  -&]x0,
     
               [0 2]  
     [v](x0) = [0 0]x0,
     
               [2 1]  
     [b](x0) = [1 3]x0,
     
               [0  -&]  
     [e](x0) = [0  1 ]x0,
     
               [1  0 ]  
     [u](x0) = [2  -&]x0,
     
               [2 1]  
     [d](x0) = [3 0]x0
    orientation:
            [2 1]     [1 0]           
     d(x) = [3 0]x >= [3 0]x = e(u(x))
     
               [2 3]          
     v(e(x)) = [0 1]x >= x = x
     
               [3 2]     [0  -&]           
     b(u(x)) = [5 1]x >= [0  -&]x = a(e(x))
    problem:
     d(x) -> e(u(x))
    Arctic Interpretation Processor:
     dimension: 3
     interpretation:
                [0  0  1 ]  
      [e](x0) = [-& -& 0 ]x0
                [0  2  1 ]  ,
      
                [0  2  0 ]  
      [u](x0) = [0  0  -&]x0
                [0  1  0 ]  ,
      
                [2 3 2]  
      [d](x0) = [2 2 2]x0
                [3 3 2]  
     orientation:
             [2 3 2]     [1 2 1]           
      d(x) = [2 2 2]x >= [0 1 0]x = e(u(x))
             [3 3 2]     [2 2 1]           
     problem:
      
     Qed