Every article or blog post that I found only goes to the point where a node has selected two tips via the MCMC walk and checked them for consistency (and then states that if they are inconsistent the network will achieve consensus on one of the transactions/subtangles).
But what does the node actually do now when it has those conflicting transactions? Will it try to find two new and unconflicting transactions? Randomly (or otherwise) decide for just one of the two tips?
Hope someone can solve that riddle for me.