“...Since there are no cardinals left from the time of Pius XIIs death, who do they suppose would elect a new pope? There would be no way. ...”
Can you quote official Church teaching to this effect or is this your own interpretation?
Why don't you answer the question directly? How could a true Pope be elected when there are no true Cardinals left alive to elect him?
Easy enough to find online. The apostolic constitution issued by Pope Pius XII himself, VACANTIS APOSTOLICAE SEDIS, issued on December 8, 1945, was the operative document concerning the election of a new pope when Pius XII died.
Paragraph 32 states:
The right of electing the Pope belongs solely and exclusively to the Cardinals...