to use the F security line with a TED BP you need to show a 1P card or higher. 2Ps and 3Ps are not allowed, but depending on the TSA minions they may let you through.

note that UnTED had to negotiate this with the airport authority. originally the airport authority said no uniTED passengers in the F line because there was no F on uniTED. In time uniTED was able to negotiate 1Ps and up as a compromise. Note that this line only saves you about 10 minutes on average.

You do not need an F BP for your connecting flight to use the F line. Don't let the TSA robots tell you otherwise.

the TSA folks are not that bright so I've used my expired 1P card several times.