I have two layers: lines and points. Points are snapped to lines. The task is to split lines on the intersections with points. In general, tool called Split Lines at Point works fine, as you can see on a picture (fig 1 and 2), but sometimes it makes mistakes like on fig.3 i.e. line isn't split. I tried to specify the search radius but it didn't help. What needs to be done in this case?