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:
   [true] = 0,
   
   [false] = 0,
   
   [lessleaves](x0, x1) = 3x0 + 2x1 + 4,
   
   [cons](x0, x1) = 4x0 + x1 + 4,
   
   [concat](x0, x1) = x0 + x1 + 2,
   
   [leaf] = 1
  orientation:
   concat(leaf(),Y) = Y + 3 >= Y = Y
   
   concat(cons(U,V),Y) = 4U + V + Y + 6 >= 4U + V + Y + 6 = cons(U,concat(V,Y))
   
   lessleaves(X,leaf()) = 3X + 6 >= 0 = false()
   
   lessleaves(leaf(),cons(W,Z)) = 8W + 2Z + 15 >= 0 = true()
   
   lessleaves(cons(U,V),cons(W,Z)) = 12U + 3V + 8W + 2Z + 24 >= 3U + 3V + 2W + 2Z + 14 = lessleaves(concat(U,V),concat(W,Z))
  problem:
   concat(cons(U,V),Y) -> cons(U,concat(V,Y))
  Matrix Interpretation Processor: dim=1
   
   interpretation:
    [cons](x0, x1) = 5x0 + x1 + 1,
    
    [concat](x0, x1) = 5x0 + x1 + 1
   orientation:
    concat(cons(U,V),Y) = 25U + 5V + Y + 6 >= 5U + 5V + Y + 2 = cons(U,concat(V,Y))
   problem:
    
   Qed