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Reasoning on OWL ontologies is known to be intractable in the worst-case, which is a serious problem because in practice, most OWL ontologies have large Aboxes, i.e., numerous assertions about individuals and their relations. We propose a technique that uses a summary of the ontology (summary Abox) to reduce reasoning to a small subset of the original Abox, and prove that our techniques are sound and complete. We demonstrate the scalability of this technique for consistency detection in 4 ontologies, the largest of which has 6.5 million role assertions.