Martin and Deutscher offer a compelling reason for thinking that belief is not necessary for S to remember something.  They give an example of a painter who believes that the scene he is painting derives from his imagination rather than from his memory. Yet it turns out that the mental image guiding his work is the product of his experience at a farm when he was very young.  So he remembers, say, the horse galloping across the meadow, although, believing that this is the product of his imagination, he does not believe that what he is depicting is an actual event.  Yet so long as the image is causally connected with his past experience in the right way, the painter will be remembering the horse even though he doesn't believe that there was such a horse in such a meadow.