Exim TLS and Secure SMTP

I found this in 30 seconds by Googling "openssl s_client RENEGOTIATING": s_client's R "feature"

In summary - pressing "R" in an s_client session causes openssl to renegotiate. Try entering "rcpt to:" instead of "RCPT TO".

You might also try tools that are more suited to SMTP-specific testing, such as Tony Finch's smtpc or swaks.