Many generic constructions for building secure cryptosystems from primi-tives with lower level of security have been proposed. Providing security proofs has also become standard practice. There is, however, a lack of automated verification procedures that analyze such cryptosystems and provide security proofs. In this paper, we present a sound and automated procedure that allows us to verify that a generic asymmetric encryption scheme is secure against chosen-plaintext attacks in the random oracle model. It has been applied to several examples of encryption schemes among which the construction of Bellare–Rogaway 1993, of Pointcheval at PKC'2000.