YES

Problem:
 f(x,y) -> x
 g(a()) -> h(a(),b(),a())
 i(x) -> f(x,x)
 h(x,x,y) -> g(x)

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [h](x0, x1, x2) = x0 + 6x1 + 4x2 + 2,
   
   [a] = 2,
   
   [b] = 0,
   
   [i](x0) = 4x0 + 4,
   
   [f](x0, x1) = x0 + 2x1,
   
   [g](x0) = 7x0 + 2
  orientation:
   f(x,y) = x + 2y >= x = x
   
   g(a()) = 16 >= 12 = h(a(),b(),a())
   
   i(x) = 4x + 4 >= 3x = f(x,x)
   
   h(x,x,y) = 7x + 4y + 2 >= 7x + 2 = g(x)
  problem:
   f(x,y) -> x
   h(x,x,y) -> g(x)
  Matrix Interpretation Processor: dim=3
   
   interpretation:
                      [1 0 0]     [1 0 0]     [1 0 0]  
    [h](x0, x1, x2) = [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2
                      [0 0 0]     [0 0 0]     [0 0 0]  ,
    
                       [1 0 0]     [1]
    [f](x0, x1) = x0 + [0 0 0]x1 + [0]
                       [0 0 0]     [0],
    
              [1 0 0]  
    [g](x0) = [0 0 0]x0
              [0 0 0]  
   orientation:
                 [1 0 0]    [1]         
    f(x,y) = x + [0 0 0]y + [0] >= x = x
                 [0 0 0]    [0]         
    
               [2 0 0]    [1 0 0]     [1 0 0]        
    h(x,x,y) = [0 0 0]x + [0 0 0]y >= [0 0 0]x = g(x)
               [0 0 0]    [0 0 0]     [0 0 0]        
   problem:
    h(x,x,y) -> g(x)
   Matrix Interpretation Processor: dim=3
    
    interpretation:
                       [1 0 0]     [1 0 0]     [1 0 0]     [1]
     [h](x0, x1, x2) = [0 0 0]x0 + [0 0 0]x1 + [0 0 0]x2 + [0]
                       [0 0 0]     [0 0 0]     [0 0 0]     [0],
     
               [1 0 0]  
     [g](x0) = [0 0 0]x0
               [0 0 0]  
    orientation:
                [2 0 0]    [1 0 0]    [1]    [1 0 0]        
     h(x,x,y) = [0 0 0]x + [0 0 0]y + [0] >= [0 0 0]x = g(x)
                [0 0 0]    [0 0 0]    [0]    [0 0 0]        
    problem:
     
    Qed