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Ad extirpanda (named for its Latin incipit) was a papal bull promulgated on Wednesday, May 15, 1252 by Pope Innocent IV which authorized in limited and defined circumstances the use of torture by the Inquisition for eliciting confessions from heretics.
The bull was issued in the wake of the murder of the papal inquisitor of Lombardy, St. Peter of Verona, who was killed by a conspiracy of Cathar sympathizers on 6 April 1252. The bull argued that as heretics are "murderers of souls as well as robbers of God’s sacraments and of the Christian faith ...", they are "to be coerced—as are thieves and bandits—into confessing their errors and accusing others, although one must stop short of danger to life or limb."  The following parameters were placed on the use of torture:
The bull conceded to the State a portion of the property to be confiscated from convicted heretics. The State in return assumed the burden of carrying out the penalty. The relevant portion of the bull read: "When those adjudged guilty of heresy have been given up to the civil power by the bishop or his representative, or the Inquisition, the podestà or chief magistrate of the city shall take them at once, and shall, within five days at the most, execute the laws made against them."