What is defined as a listing of information concerning war-fighting capabilities?

The correct answer is the unit capability report, as this document serves as a comprehensive listing of the information regarding an organization's war-fighting capabilities. It provides details such as personnel, equipment, and training levels, which are critical for understanding the overall readiness and effectiveness of a unit in combat scenarios. This report allows commanders to assess their strength and identify areas that may require improvement or additional resources.

In contrast, a battle roster is typically a list that outlines personnel assigned to a particular mission or operation, rather than focusing specifically on broader capabilities. The mission task list identifies specific tasks that units must accomplish but doesn’t encompass the overall snapshot of capabilities. An operational brief is designed to convey information relevant to specific operations and missions, but it does not provide a detailed analysis of the unit's overall capacity to engage in warfare. Therefore, the unit capability report is the most comprehensive and relevant document for this context.