In mysql it would look like this.
SELECT * FROM `user` WHERE (`birthday`='2000-05-01' AND `country_id`=3546 AND `city_id`=1276 AND `name` LIKE '%Марина%') OR (`birthday`='1983-05-23' AND `country_id`=3456 AND `city_id`=1235 AND `name` LIKE '%Саша%') OR .................................................................................................. (`birthday`='1983-04-12' AND `country_id`=3456 AND `city_id`=1235 AND `name` LIKE '%Глаша%') What query will be for elasticsearch?