Left-Overs of the offering are burned: Pesachim 28a Incinerating or burying the offering if it is discovered that the offerer did not sin: Temurah 34a
General Rules for the Requirement
It is only brought in a case which parallels one in which there were 2 items, one was consumed, and it is not known whether that was the forbidden one of the two or not: Niddah 14b
Cases where a Person is Worried ["Libi Nokfi"] that he may have Sinned
If a woman marries on the contested word of a Witness, saying "I am certain he is correct": Ketuvot 22b
Marrying a woman whose previous marital status is uncertain: Ketuvot 22b
For a woman to marry based on the contested word of a witness to her husband's death: Ketuvot 22b
