YES

Problem:
 strict:
  f(el(x),y) -> f(x,el(y))
 weak:
  f(x,y) -> f(l(x),y)
  f(x,y) -> f(x,r(y))
  l(el(x)) -> el(l(x))
  el(r(x)) -> r(el(x))

Proof:
 Matrix Interpretation Processor: dim=5
  
  interpretation:
                 [1 0 0 0 1]     [1 1 0 0 0]     [0]
                 [0 0 0 0 0]     [0 1 0 0 0]     [0]
   [f](x0, x1) = [1 0 0 0 1]x0 + [0 1 0 0 1]x1 + [0]
                 [1 0 0 0 1]     [0 0 0 0 0]     [0]
                 [1 0 0 0 0]     [0 1 1 1 0]     [1],
   
             [1 0 0 0 0]  
             [0 1 0 0 0]  
   [r](x0) = [0 0 0 1 0]x0
             [0 0 1 0 0]  
             [0 0 0 0 1]  ,
   
              [1 0 0 0 0]     [0]
              [0 0 0 0 0]     [0]
   [el](x0) = [0 0 0 1 0]x0 + [0]
              [0 0 1 0 0]     [0]
              [0 0 0 0 1]     [1],
   
             [1 0 0 0 0]  
             [0 0 0 1 0]  
   [l](x0) = [0 0 0 0 0]x0
             [0 0 0 0 0]  
             [0 0 0 0 1]  
  orientation:
                [1 0 0 0 1]    [1 1 0 0 0]    [1]    [1 0 0 0 1]    [1 0 0 0 0]    [0]             
                [0 0 0 0 0]    [0 1 0 0 0]    [0]    [0 0 0 0 0]    [0 0 0 0 0]    [0]             
   f(el(x),y) = [1 0 0 0 1]x + [0 1 0 0 1]y + [1] >= [1 0 0 0 1]x + [0 0 0 0 1]y + [1] = f(x,el(y))
                [1 0 0 0 1]    [0 0 0 0 0]    [1]    [1 0 0 0 1]    [0 0 0 0 0]    [0]             
                [1 0 0 0 0]    [0 1 1 1 0]    [1]    [1 0 0 0 0]    [0 0 1 1 0]    [1]             
   
            [1 0 0 0 1]    [1 1 0 0 0]    [0]    [1 0 0 0 1]    [1 1 0 0 0]    [0]            
            [0 0 0 0 0]    [0 1 0 0 0]    [0]    [0 0 0 0 0]    [0 1 0 0 0]    [0]            
   f(x,y) = [1 0 0 0 1]x + [0 1 0 0 1]y + [0] >= [1 0 0 0 1]x + [0 1 0 0 1]y + [0] = f(l(x),y)
            [1 0 0 0 1]    [0 0 0 0 0]    [0]    [1 0 0 0 1]    [0 0 0 0 0]    [0]            
            [1 0 0 0 0]    [0 1 1 1 0]    [1]    [1 0 0 0 0]    [0 1 1 1 0]    [1]            
   
            [1 0 0 0 1]    [1 1 0 0 0]    [0]    [1 0 0 0 1]    [1 1 0 0 0]    [0]            
            [0 0 0 0 0]    [0 1 0 0 0]    [0]    [0 0 0 0 0]    [0 1 0 0 0]    [0]            
   f(x,y) = [1 0 0 0 1]x + [0 1 0 0 1]y + [0] >= [1 0 0 0 1]x + [0 1 0 0 1]y + [0] = f(x,r(y))
            [1 0 0 0 1]    [0 0 0 0 0]    [0]    [1 0 0 0 1]    [0 0 0 0 0]    [0]            
            [1 0 0 0 0]    [0 1 1 1 0]    [1]    [1 0 0 0 0]    [0 1 1 1 0]    [1]            
   
              [1 0 0 0 0]    [0]    [1 0 0 0 0]    [0]           
              [0 0 1 0 0]    [0]    [0 0 0 0 0]    [0]           
   l(el(x)) = [0 0 0 0 0]x + [0] >= [0 0 0 0 0]x + [0] = el(l(x))
              [0 0 0 0 0]    [0]    [0 0 0 0 0]    [0]           
              [0 0 0 0 1]    [1]    [0 0 0 0 1]    [1]           
   
              [1 0 0 0 0]    [0]    [1 0 0 0 0]    [0]           
              [0 0 0 0 0]    [0]    [0 0 0 0 0]    [0]           
   el(r(x)) = [0 0 1 0 0]x + [0] >= [0 0 1 0 0]x + [0] = r(el(x))
              [0 0 0 1 0]    [0]    [0 0 0 1 0]    [0]           
              [0 0 0 0 1]    [1]    [0 0 0 0 1]    [1]           
  problem:
   strict:
    
   weak:
    f(x,y) -> f(l(x),y)
    f(x,y) -> f(x,r(y))
    l(el(x)) -> el(l(x))
    el(r(x)) -> r(el(x))
  Qed