When Lumbering Battlement enters the battlefield, it triggers, exiling Abdel Adrian until Lumbering Battlement leaves the battlefield.
Abdel Adrian leaves the battlefield, ending its effect, causing Mirror Image to return from exile to the battlefield as a copy of Lumbering Battlement.
When Mirror Image enters the battlefield, it triggers, exiling Lumbering Battlement until Mirror Image leaves the battlefield.
Lumbering Battlement leaves the battlefield, ending its effect, causing Abdel Adrian to return from exile to the battlefield.
When Abdel Adrian enters the battlefield, it triggers, exiling Mirror Image and any number of other nonland permanents you control until Abdel Adrian leaves the battlefield and creating at least one 1/1 Soldier creature token.
Mirror Image leaves the battlefield, ending its effect, causing Lumbering Battlement to return to the battlefield from exile.
Repeat from step 2.
Results
Infinite blinking of nonland permanents you control.