How to interpret outgoing logs for connection and termination info

I am trying to connect to a remote computer which is running very slowly.  Sometimes I need to leave my computer for hours and when I come back I get a message that my TeamViewer session has timed out.  When I look at the TeamViewer13_Logfile.log I can see various messages which may or may not be indications of a successful connection.  How do I interpret these entries in the log file so that I can determine what is going on and whether I actually succeeded to connect to the remote machine while I was away from the computer?

Thanks,

jRiff