Overload between rvalue reference and const lvalue reference in template

I want to overload two functions based on whether the argument is a temporary object, so I write code like this:

#include <iostream>

void f(int &&)
{
  std::cout << "&&" << std::endl;
}

void f(const int&)
{
  std::cout << "const &" << std::endl;
}

int main()
{
  int i;
  f(i);
  f(i + 1);
}

And it corrently output:

const &
&&

However, when I change the code to use template like this:

#include <iostream>

template <typename T>
void f(T &&)
{
  std::cout << "&&" << std::endl;
}

template <typename T>
void f(const T&)
{
  std::cout << "const &" << std::endl;
}

int main()
{
  int i;
  f(i);
  f(i + 1);
}

The output becomes:

&&
&&

What's the problem? How can I optimize for moveable temporary object when using template?