Schema merging is the process of integrating several schemas into a common, unified schema. There have been various approaches to schema mergusing on particular modeling languages, or using a lightweight, abstract metamodel. Having a semantically rich representation of models and mappings is particularly important for merging as semantic information is required to resolve the conflicts encountered. Therefore, our approach to schema merging is based on the generic role-based metamodel GeRoMe and intensional mappings based on the real world states of model elements. We give a formal definition of the merged schema and present an algorithm implementing these formalizations.