Upgrade to latest CB 2.x nightly found below.
www.joomlapolis.com/downloads/doc_details/640-community-builder-nightly-build
Next upgrade to latest CB Conditional 4.0.5
www.joomlapolis.com/component/docman/doc_details/721-cb-conditionals-405
Then confirm if your issue persists. Please note you conditioning away the Name field. That is a core field. Joomla requires it. If it's missing during user store then Joomla will fail the registration. There is no avoiding this. CB will try to populate it with the username field if the name is missing, but if both username and name are missing it may not be able to fallback.
Please also ensure you're not conditioning the field multiple times. A field can only be conditioned once and the last condition applied to it is the only condition that matters.