This dataset contains a simplified excerpt from a real event log that tracks the trajectories of patients admitted to a hospital to be treated for sepsis, a life-threatening condition. The log has been recorded by the Enterprise Resource Planning of the hospital. Additionally, the dataset contains three synthetic logs that increase the number of trajectories within the original log timespan, while maintaining other statistical characteristics. In total, the dataset contains four files in .zip format and a companion that describes the statistical method used to synthesize the logs as well as the dataset content in detail. The dataset can be used in testing the performance of event-based process-mining and log (runtime) monitoring tools against an increasing load of events.