clapple on "Twenty Twelve: remove standard menu from mobile devices"

Hi everybody, after having managed to remove the menu toggle button for the mobile view of my website, I still see the menu (though without the button) on my phone.

I actually wanted to keep the menu on my desktop page, but am using another mobile menu provider for – you name it – the mobile. So how can I delete the menu only on the mobile version???

http://bit.ly/1hAdnkS

Thank you very much!!!
Marta