Sergey Karavashkin: 

 >For you who even full proof don't accept as a grounds, just the
 >function will tell nothing.

  Sure it will. If you claim that there is a function \Phi for which the
curl of its gradient is no zero, then all you have to do to prove that is
post the function so I can take the curl of its gradient and see for
myself. Nothing could be simpler. I predict that you won't post your
so-called function, but will instead revert to some convoluted argument
which spends pages avoiding anything specific.

 >I understand your hurry, but please have a patience and wait few days. ;-)
 
  What happened? Did you discover you didn't have such a function and
you got a non-zero answer due to an arithmetic error and are going
try and find a new one? If not, then just post the function for which
you claim \nabla x (\nabla\Phi) is non-zero. If you are correct, the
function will make that self-evident, without any need for you to
create a convoluted, several page argument that handwaves your way 
to a non-zero result for a result which is zero by any straight-forward
mathematical argument.

  Just post the function. If it exists and you know what it is, then
nothing prevents you from posting it, especially given the fact that
you would be quite happy to rub my nose in being wrong for telling
you that \nabla x (\nabla\Phi) = 0 is a mathematical identity.