Fetching details from the dictionary...
to protrude; to stick out; to jut out; to hang out; to bulge out
to be forced out; to be pushed out; to be crowded out
to go over (e.g. a budget); to go beyond; to exceed
ペンキが線から食み出した。
The paint overflowed beyond the line.
荷物が棚から食み出している。
The luggage is sticking out from the shelf.
既存の枠から食み出す自由な発想が求められる。
Free thinking that goes beyond existing frameworks is required.