There were users logged in on 2 thin clients at that time and nobody on the server. For some reason the first command listed 2 sessions per logged-in user. Both commands were run by uid 1000, so session 4 or 5.
I should also mention that the network in question uses the "LDM_DIRECTX=True" option in lts.conf, making for an unencrypted ssh connection between client and server. I'm not sure if this is relevant or not.
(http://doc.ubuntu.com/edubuntu/edubuntu/handbook/C/customizing-thin-client.html)
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