Moderators don't moderate for truth. However, trolling isn't allowed. If a user is habitually posting obviously false nonsense just to stir up trouble, then it's considered trolling, which is prohibited. However, such cases should be thoroughly documented in the report (There are tons of reports that just say "trolling", but moderators don't have time to look through each user's post).
That is perfect. I am sure you will have tough work to do it.
Insults are also allowed as long as they contain any kind of constructive opinion, info or something else substantial and aren't off-topic. For example, posting something like "you are dumb" will be deleted as it contains no meaningful content.
I am not sure if you are right here. There are much bigger insults constantly used as calling someone dumb and those should be sorted out fast.
But i have question. Is there punishment for those that continuously repeat this mistakes? Do they get temporary or permanent IP bans?