Title: Conceptual SCAN: Learning With and About Rules. Abstract: The ability to learn from a mix of rules and examples and to reflect on the learned abstractions is an important aspect of human intelligence. At the same time, there is a lack of benchmarks that systematically test for this ability, which makes it hard to evaluate the degree to which it is present in state-of-the-art ML architectures. We introduce a method to systematically construct such benchmarks by using an example structure that allows us to explicitly provide and ask about rules that are relevant for the given task. We present a simple dataset that is constructed according to this method, and we use it to analyze the performance of a variety of T5-based machine learning models. We identify four challenge areas in this setup: maintaining consistency between learned rules and their application, scaling to larger rule sets, compositional generalization, and dealing with limited training data.