So you are required to check your schedule at the end of your rest? That would make that one minute NOT rest. The 5 hours until your assignment would be included in your duty time. That's pretty basic. They can't have it both ways. They don't get a rolling max duty day to begin whenever they want it to begin, but until it begins its considered rest, even though you HAVE to check your schedule during that "rest". That's completely unreasonable and pushing the limits of the regs. The time I pushed it CS and ALPA agreed with me. Be very careful going more than 16 hours beyond 10AM. Hopefully your trip finishes earlier than that anyway, but if not I'd check hard into it.