Enforce topology rule over a shapefile

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I have a couple of shapefiles, the first one is a set of points, while the second one is a set of lines. I need to regularize the shapefiles in order to be able to generate a graph (adjacency list / paths) out of them later.

The set of lines has many dongles, with both undershoot and overshoot problems. I want ArcGIS to mark the suspect points and possibly offer me a correction to apply, on an individual basis.

I've seen the tutorial "Using geodatabase topology to fix line errors", which seems to go where I want.

However, in order to create a "topology" with a "Must Not Have Dangles" rule, I need a "geodatabase".I'm very new to GIS systems, and I'm trying to figure out a way to convert my shapefile to a geodatabase. I did the following

• open ArcCatalog
• click Connect Folder to connect the folder with my shapefiles
• right click on connected folder, New, File Geodatabase
• right click on created geodatabase, New, Feature Dataset
• right click on created feature dataset, New, Feature Class
• added the shapefile with lines*
• right click on the feature dataset (not the feature class), New, Topology
• follow the tutorial

However, after adding the "Must Not Have Dangles" rule, and running Validate, I am told there are no errors. I can see there are errors, there are obvious dangling lines, so why aren't they detected?

* Here is the last step, I used the Import button.

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