YES

Problem:
 concat(leaf(),Y) -> Y
 concat(cons(U,V),Y) -> cons(U,concat(V,Y))
 lessleaves(X,leaf()) -> false()
 lessleaves(leaf(),cons(W,Z)) -> true()
 lessleaves(cons(U,V),cons(W,Z)) -> lessleaves(concat(U,V),concat(W,Z))

Proof:
 Matrix Interpretation Processor: dim=1
  
  interpretation:
   [false] = 0,
   
   [concat](x0, x1) = x0 + x1,
   
   [lessleaves](x0, x1) = x0 + 4x1,
   
   [true] = 4,
   
   [leaf] = 0,
   
   [cons](x0, x1) = x0 + x1 + 1
  orientation:
   concat(leaf(),Y) = Y >= Y = Y
   
   concat(cons(U,V),Y) = U + V + Y + 1 >= U + V + Y + 1 = cons(U,concat(V,Y))
   
   lessleaves(X,leaf()) = X >= 0 = false()
   
   lessleaves(leaf(),cons(W,Z)) = 4W + 4Z + 4 >= 4 = true()
   
   lessleaves(cons(U,V),cons(W,Z)) = U + V + 4W + 4Z + 5 >= U + V + 4W + 4Z = lessleaves(concat(U,V),concat(W,Z))
  problem:
   concat(leaf(),Y) -> Y
   concat(cons(U,V),Y) -> cons(U,concat(V,Y))
   lessleaves(X,leaf()) -> false()
   lessleaves(leaf(),cons(W,Z)) -> true()
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [false] = 4,
    
    [concat](x0, x1) = x0 + x1 + 2,
    
    [lessleaves](x0, x1) = 4x0 + 4x1 + 4,
    
    [true] = 4,
    
    [leaf] = 0,
    
    [cons](x0, x1) = 4x0 + x1
   orientation:
    concat(leaf(),Y) = Y + 2 >= Y = Y
    
    concat(cons(U,V),Y) = 4U + V + Y + 2 >= 4U + V + Y + 2 = cons(U,concat(V,Y))
    
    lessleaves(X,leaf()) = 4X + 4 >= 4 = false()
    
    lessleaves(leaf(),cons(W,Z)) = 16W + 4Z + 4 >= 4 = true()
   problem:
    concat(cons(U,V),Y) -> cons(U,concat(V,Y))
    lessleaves(X,leaf()) -> false()
    lessleaves(leaf(),cons(W,Z)) -> true()
   Matrix Interpretation Processor: dim=3
    
    interpretation:
               [0]
     [false] = [0]
               [0],
     
                        [1 1 1]     [1 0 0]  
     [concat](x0, x1) = [0 1 1]x0 + [1 0 0]x1
                        [0 1 1]     [1 0 0]  ,
     
                            [1 0 0]     [1 0 0]     [1]
     [lessleaves](x0, x1) = [0 0 0]x0 + [0 0 0]x1 + [0]
                            [0 0 0]     [1 0 0]     [0],
     
              [0]
     [true] = [0]
              [0],
     
              [0]
     [leaf] = [0]
              [0],
     
                      [1 0 1]     [1 0 0]     [0]
     [cons](x0, x1) = [0 0 0]x0 + [0 0 1]x1 + [0]
                      [0 0 0]     [0 1 0]     [1]
    orientation:
                           [1 0 1]    [1 1 1]    [1 0 0]    [1]    [1 0 1]    [1 1 1]    [1 0 0]    [0]                      
     concat(cons(U,V),Y) = [0 0 0]U + [0 1 1]V + [1 0 0]Y + [1] >= [0 0 0]U + [0 1 1]V + [1 0 0]Y + [0] = cons(U,concat(V,Y))
                           [0 0 0]    [0 1 1]    [1 0 0]    [1]    [0 0 0]    [0 1 1]    [1 0 0]    [1]                      
     
                            [1 0 0]    [1]    [0]          
     lessleaves(X,leaf()) = [0 0 0]X + [0] >= [0] = false()
                            [0 0 0]    [0]    [0]          
     
                                    [1 0 1]    [1 0 0]    [1]    [0]         
     lessleaves(leaf(),cons(W,Z)) = [0 0 0]W + [0 0 0]Z + [0] >= [0] = true()
                                    [1 0 1]    [1 0 0]    [0]    [0]         
    problem:
     
    Qed