Does BPMN get stored if at all My service task throws an exception

Let’s say i have two tasks, one of em is service task and the other one is user task, and i haven’t enabled Asynchronous continuation, meaning no checkpoints enabled. The two tasks are to be executed simultaneously, now since the Service tasks throws an exception, the question is will the bpmn be ever saved to the database?

Please explain, here is the BPMN