Based on the premise 'But we know that at 10:31, General Larry Arnold instructed his staff to broadcast the following over a NORAD instant messaging  10:31 Vice president has cleared to us to intercept tracks of interest and shoot them down if they do not respond per [General Arnold].', does it logically lead to the hypothesis 'General Larry Arnold told his staff to broadcast over a NORAD messaging service at 10:31 that the Vice president had said to hold off on shooting down any hijacked planes until the President could be reached.'
But we know that at 10:31, General Larry Arnold instructed his staff to broadcast the following over a NORAD instant messaging  10:31 Vice president has cleared to us to intercept tracks of interest and shoot them down if they do not respond per [General Arnold].###General Larry Arnold told his staff to broadcast over a NORAD messaging service at 10:31 that the Vice president had said to hold off on shooting down any hijacked planes until the President could be reached.