Humans being humans, they'd then want to start destroying the other sides ability to design/make/run/maintain/afford pi digit crunching intelligence bots. Then

Humans being humans, they'd then want to start destroying the other sides ability to design/make/run/maintain/afford pi digit crunching intelligence bots. Then ways to defend against those attacks on their people and economy by attacking the aspects of the other sides ability to attack etc. After a few rounds of that, soon the pi digit crunching element is completely replaced by a traditional war.