YES

TRS:

  minus(x,0()) -> x
  minus(s(x),s(y)) -> minus(x,y)
  quot(0(),s(y)) -> 0()
  quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
  app(nil(),y) -> y
  app(add(n,x),y) -> add(n,app(x,y))
  reverse(nil()) -> nil()
  reverse(add(n,x)) -> app(reverse(x),add(n,nil()))
  shuffle(nil()) -> nil()
  shuffle(add(n,x)) -> add(n,shuffle(reverse(x)))
  concat(leaf(),y) -> y
  concat(cons(u,v),y) -> cons(u,concat(v,y))
  less_leaves(x,leaf()) -> false()
  less_leaves(leaf(),cons(w,z)) -> true()
  less_leaves(cons(u,v),cons(w,z)) -> less_leaves(concat(u,v),concat(w,z))

linear polynomial interpretations on N:

  minus_A(x1,x2) = x1
  minus#_A(x1,x2) = 0
  0_A = 1
  0#_A = 6
  s_A(x1) = x1 + 4
  s#_A(x1) = 7
  quot_A(x1,x2) = x1 + 1
  quot#_A(x1,x2) = x1 + x2
  app_A(x1,x2) = x1 + x2
  app#_A(x1,x2) = 3
  nil_A = 0
  nil#_A = 0
  add_A(x1,x2) = x1 + x2 + 3
  add#_A(x1,x2) = 2
  reverse_A(x1) = x1
  reverse#_A(x1) = x1 + 1
  shuffle_A(x1) = x1 + 1
  shuffle#_A(x1) = x1 + 3
  concat_A(x1,x2) = x1 + x2 + 1
  concat#_A(x1,x2) = x1 + 2
  leaf_A = 1
  leaf#_A = 1
  cons_A(x1,x2) = x1 + x2 + 2
  cons#_A(x1,x2) = x1 + 3
  less_leaves_A(x1,x2) = 0
  less_leaves#_A(x1,x2) = 1
  false_A = 0
  false#_A = 0
  true_A = 0
  true#_A = 0

precedence:

  concat > cons = less_leaves > shuffle = false > s = add = leaf > 0 = reverse = true > quot = app = nil > minus