Essentially I want to union multiple (20) congruent line shapefiles, where overlapping line segments in the input shapefiles are combined into a single resulting output shapefile. But I can't union lines. So I'm looking for an alternative. The desired result, like union, would break all the overlapping lines into separate features and preserve the input attributes.
Merge doesn't work for me because the inputs are preserved as separate (overlapping) features in the resulting shapefile. I tried dissolving this result, as well as Split Line at Vertices without getting the desired result.