YES

TRS:

  sort(nil()) -> nil()
  sort(cons(x,y)) -> insert(x,sort(y))
  insert(x,nil()) -> cons(x,nil())
  insert(x,cons(v,w)) -> choose(x,cons(v,w),x,v)
  choose(x,cons(v,w),y,0()) -> cons(x,cons(v,w))
  choose(x,cons(v,w),0(),s(z)) -> cons(v,insert(x,w))
  choose(x,cons(v,w),s(y),s(z)) -> choose(x,cons(v,w),y,z)

linear polynomial interpretations on N:

  sort_A(x1) = x1 + 1
  sort#_A(x1) = x1 + 2
  nil_A = 1
  nil#_A = 0
  cons_A(x1,x2) = x1 + x2 + 2
  cons#_A(x1,x2) = 1
  insert_A(x1,x2) = x1 + x2 + 2
  insert#_A(x1,x2) = x1 + x2 + 1
  choose_A(x1,x2,x3,x4) = x1 + x2 + 2
  choose#_A(x1,x2,x3,x4) = x1 + x2
  0_A = 1
  0#_A = 0
  s_A(x1) = x1 + 1
  s#_A(x1) = 0

precedence:

  sort = choose = 0 = s > insert > nil = cons