In order to have access to the posts list at the back-end and view existing posts from there user should have edit_posts capability. It protects the “Posts” admin menu/
By default edit_posts capability allows edit own posts, and create new posts by default.
URE Pro allows to force WordPress to use the separate ‘create_posts’ capability especially to allows add new posts. Go to the “Settings->User Role Editor->Additional Modules” and turn ON the “Activate “Create” capability for posts/pages/custom post types” option under “Content edit restrictions” subtitle. Do not forget to grant this capability to the roles who should can create posts.
publish_posts allows to publish posts. So revoke it from your role.
Revoke also (if granted) edit_others_posts, edit_published_posts, delete_posts.