Those mini lines are not due to the template but are part of the default Zencart.
To remove them go to your admin/configuration/Layout Settings. Just about half-way down you'll see some Categories Separator areas to edit. Some of mine are gone/blank but I think it's the Categories Separator between the Category Name and Sub Categories. You should see the lines. Just remove them.
But to help orient customers, I'm now using link color as here via css:
http://www.prommart.com/index.php?ma...x&cPath=122_30
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