premise: From the 1st through the 7th of next month, seven nurses—Farnham, Griseldi, Heany, Juarez, Khan, Lightfoot, and Moreau—will each conduct one information session at a community center. Each nurse's session will fall on a different day. The nurses' schedule is governed by the following constraints: At least two of the other nurses' sessions must fall in between Heany's session and Moreau's session. Griseldi's session must be on the day before Khan's. Juarez's session must be on a later day than Moreau's. Farnham's session must be on an earlier day than Khan's but on a later day than Lightfoot's. Lightfoot cannot conduct the session on the 2nd. Juarez's session CANNOT be on which one of the following days?
hypothesis: the 5th