Overload of a nested template function

I was thinking a lot what title to put on my question and failed anyway, so if you find a good one, please edit it.

I am trying to write a print function for a vector or other container<T> and have another print function for container<container<T>>, so here what I came up with:

template<typename T>
void print(T const& cont){
    for (const auto& i : cont) {
        cout << i << " ";
    }
    cout << endl;
}

template<typename T, template<typename> typename Cont>
void print(Cont<T> const& cont) {
    for (const auto& i : cont) {
        print(i);
    }
}

and I have my 2 target containers here:

vector<vector<int>> subsets;
vector<int> subset;

When I invoke print(subset); the program works as expected, but when i invoke print(subsets), compiler starts complaining:

error C2679: binary '<<': no operator found which takes a right-hand operand of type 'const std::vector<int,std::allocator<int>>' (or there is no acceptable conversion)

My conclusion is that its still trying to call the non-nested template print function and failing on cout as I am trying to cout a vector.

Can anyone explain why the overload resolution is not working as I expect and what I did wrong here? Even when I rename the nested-template function to printn, its started to complain for a different reason:

error C2784: 'void prints(const Cont<T> &)': could not deduce template argument for 'const Cont<T> &' from 'std::vector<std::vector<int,std::allocator<int>>,std::allocator<std::vector<int,std::allocator<int>>>>'