Conference claims they have indexed proceedings and publisher denies it
There are quite a lot of predatory journals, and some of them organize conferences. Some of these organize conferences with information that is outright false, in order to get money from academic in exchange of "academic credit" i.e. publications. Stay very away from these organizations, as most reputable academic institution would see worse having a publication in these places than no publications at all. 

Can Springer do something about it? I assume their lawyers are on it, but its the same for any institution that is based on scamming. Its hard to get rid of them because they are playing outside the law already.