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As i see it, if you were there at 8.43, you would have had a legal line up by 8.45 as you would have had 3 players there, none of the 3 of you could have played the first set, because the Wizards would have already claimed the first 3 games. They would then have claimed frames 4 & 5 because you would have had no one there to start those frames.

The second set would then have started with the 3 of you there, playing frames 6,7 & 8.

If more of your team were there by the end of those 3 frames, they could have played frames 9 & 10.

Then you would have picked any player to play frame 11.

That's if i have got rule 30 correct & if you were there by 8.45