How do I resolve this effect?
Each minion simultaneously deals 1 damage to its site. Then, starting with the active player and then the non-active player, each minion chooses an artifact at it's location to destroy; you must choose an artifact that hasn't been chosen if possible. Then, all the artifacts are simultaneously destroyed. Finally, all minions tap (and won't untap the next time they normally would).
Market
$4.16
Low
$3.69
Median
$4.76