Related sur Ma'aser Sheni 3:14

Meat of the Most Holy that has become impure, whether by a primal impurity or by a descendant impurity, whether within or without the school of Shammai says: Everything is burned within except what has been contaminated by a primal impurity outside. The Hillel school says: Everything is burned outside except that which has been contaminated by a descendant impurity within. R. Eli'ezer says: What has been defiled by an original impurity, whether inside or outside, is burned outside, and what has been defiled by a descendant impurity, whether outside or inside, is burned inside. R Yehuda says: R. Eliezer speaks according to the teachings of the school of Shammai, R. Akiba speaks according to the teachings of the school of Hillel.