Exclude cases where the artillery simply lacked ammo, was positioned so it couldnt fire, or got humanwaved. Im pretty there is no battle where the side with less artillery lost. Since the bulk of an army's firepower is in artillery I don't think other arms would be significant except to hold territory.
And of course exclude battles where there just wasnt any artillery involved. As I recall artillery came into widespread use around the start of the modern period. I think there were similar questions in the past but were asked poorly.