I don't think any nation has been at peace for thousands of years in a row. Which is why I never claimed that. Your reading comprehension being awful is your problem, not mine.
Your words can easily be interpreted as such, however if you had choose to add
three more words then the point you were trying to make could not have been confused or could not be subject to more than one meaning. Let me amend your statement for you, to make the point that you should have made, also pluralise society to include the whole of humanity.
"Military solutions have succeeded in bringing about peace in the world, Murmillus, thousands of years
of the existence of peace in human societ
ies is proof of this."