Easy, logical Catholic argumentation for sedevacantism (and what is already utilized by everyone in the SSPX, Resistance, and Chazalian-sede-but-it's-not-really-sede-otherwise-people-would-get-upset camp).
It really does not take much to understand. You can reduce the argument down to two simple statements:
Catholics are required to be baptized and profess the true Faith (Pope Pius XII formula,
Mystici Corporis 22) in order to remain Catholics. "Pope" Francis is baptized, but does not profess the true Faith. Therefore, he is not a Catholic.
Only members of the Body can hold Catholic office (Pope Leo XIII,
Satis Cognitum 15). "Pope" Francis is not a Catholic. Therefore, he is not a legitimate Pope.