There is a clear contradiction in being in communion with an heretic, even the Pope. Some try to save the position by saying Jesus deposes the Pope. Here's why that only creates more contradictions.
Seeing the main contradiction of papal supremacy, we see the further implications of embracing this contradiction: the Church is no longer a perfect society.
If Popes can be heretics, but faithful Catholics cannot be in communion with heretics, then what is there to do? Back in the 14th to 15th centuries, the Church found a solution. Is it still tenable for a Roman Catholic today?
Continuing our examination of papal supremacy, if communion requires common faith, who refuses communion to those without that faith?