We report on the Second International Competition on Run-time Verification (CRV-2015). The competition was held as a satellite event of the 15th International Conference on Runtime Verification (RV'15). The competition consisted of three tracks: o✏ine monitoring, online monitoring of C programs, and online monitoring of Java programs. This report describes the format of the competition, the participating teams and submitted benchmarks. We give an example illustrating the two main inputs expected from the participating teams, namely a benchmark (i.e., a program and a property on this program) and a monitor for this benchmark. We also propose some reflection based on the lessons learned.