Thanks for your mail and for your explanations.
I have a complete backup of all my content on an external Time Machine disk. I doubt if there is a solution.
My problem is not the deletion of data, since smart boxes in mail are duplicate of the data, and practically all my income mails in all my accounts is on my Mac.
The problem is specifically on my Macbook Pro, since on my iMac all smart box content is there with 10.9.
I am looking to a specific problem solution to this specific problem.
I hope you will be for help, or even giving me a way how to revive the content of these mail smart boxed from my TimeMachine backup, in the sense of kind a step by step instructions to find it and to bring it up to my machine.
Thanks again for any help