YES

Problem:
 f(g(x),h(x,y)) -> a()
 g(b()) -> c()
 h(x,d()) -> e()

Proof:
 Matrix Interpretation Processor:
  dimension: 3
  interpretation:
         [0]
   [e] = [0]
         [0],
   
         [0]
   [d] = [0]
         [0],
   
         [0]
   [c] = [0]
         [0],
   
         [0]
   [b] = [0]
         [1],
   
         [0]
   [a] = [0]
         [0],
   
                 [1 0 0]     [1 0 0]  
   [f](x0, x1) = [0 0 0]x0 + [0 0 0]x1
                 [0 0 0]     [0 0 0]  ,
   
                 [1 0 0]     [1 0 0]     [1]
   [h](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0]
                 [0 0 0]     [0 0 0]     [0],
   
             [1 0 1]  
   [g](x0) = [0 0 0]x0
             [0 0 0]  
  orientation:
                    [2 0 1]    [1 0 0]    [1]    [0]      
   f(g(x),h(x,y)) = [0 0 0]x + [0 0 0]y + [0] >= [0] = a()
                    [0 0 0]    [0 0 0]    [0]    [0]      
   
            [1]    [0]      
   g(b()) = [0] >= [0] = c()
            [0]    [0]      
   
              [1 0 0]    [1]    [0]      
   h(x,d()) = [0 0 0]x + [0] >= [0] = e()
              [0 0 0]    [0]    [0]      
  problem:
   
  Qed