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From these screenshot you can see that they actually do stack. Although, judging from the info there, it seems that first damage is calculated on successful attack roll using invulnerability value, and then, if there was any damage, it has to pass ethereal check.
http://steamcommunity.com/sharedfiles/filedetails/?id=597583722
http://steamcommunity.com/sharedfiles/filedetails/?id=597583803
Regarding resistace, halving happens to the damage AFTER protection, so it tends to reduce damage to smaller amounts rather than stop it completely.