I arrived to Ireland to study English on February 8th, 2014, and I got my student visa until April 7th, so I spent about 60 days without a visa. I've read that Ireland and the UK are NOT in the Schengen agreement, and the days here should not be counted for Schengen (the Embassy of my country (Mexico) insist I must count my days there).
I read posts on forums, and I think I should leave the Schengen area for 3 months after I used my 90 days (I used only 60) in a period of 180 days. I left Ireland on June 17th, BUT I have a visa valid until February 2015. Do I still need to wait 3 months before reentering the Schengen area, or does this visa remove this period of 3 months?
I used the calculator of Schengen days on Planning mode (I need to go to Prague on August 25th, so I used this date), and I wrote my previous stay in the Schengen area (Ireland), and it says I can stay until November 25th, but I don't know if this is right or not.