Battle of Princeton

As this saga enters the battlefield, add a lore counter. Sacrifice after four.
(i): Each player discards a card from their hand.
(ii): Each player sacrifices 2 permanents.
(iii): Each player puts the top 3 cards of their
library into their graveyard.
(iv): You gain 4 life and each opponent loses 4 life
for each creature or planeswalker card discarded
this way. You may return a creature and/or planeswalker from your graveyard to your hand.
Then exile all opponents graveyards.