We can top right there at the Major Premise, since it's demonstrably false.
Even Wojtyla mentioned the resignation scenario.
It is demonstrably true that the law of papal elections,
Universi Dominici Gregis, requires that the Pope be dead and buried before a new election can take place.
Yes, it is possible in Canon Law for a Pope to "resign." But according to,
Universi Dominici Gregis, the election for a new Pope must wait until AFTER the previous Pope dies.
In the interim (that is, after a resignation but before the death of the Pope), the Curial officials appointed by the Pope run the Church. But they cannot do anything that normally required the Pope's decision or signature. They can "keep the lights on." They cannot change discipline or doctrine in anyway. The Pope has resigned, so he is not doing anything.
All of that is in
Universi Dominici Gregis, if you will just read it. I am not making it up.