you lost your z1 :) when U get water + battery = die... IF you removed the batery just dry and clean and it will work fine.
Its why i Love Removable batery.
http://www.ilgs.net/computing/notebooks/asus-x551ca-sx024h that have hd 4000
http://www.intel.com/support/graphics/sb/CS-033387.htm list of games intel
any intel hd 4000 will have good playable rates on 1360x768. (i think that is the resolution lol) i got on i7 here with hd4000 and play battlefield 4 on notebook. no problem. Some games will stuck but you can find the right config to play