Welcome back. You have been a semi-regular on the HIV and STD forums, each time with similar questions.
Congratulations on your interest in and consistent attention to be sexually safe. It will serve you well, even if there are occasional inadvertant lapses like you describe here. However, it is time for you to learn from both the preceding answers and this one that you do not need to seek specific advice every time there is a glitch. Remember that HIV is inefficiently transmitted, even in the highest risk encounters. Except when there are overt lapses in safety -- for example, if you were to have unprotected anal sex (either top or bottom) with a known infected partner -- it makes little sense to have an HIV test after any particular exposure. Just plan on an HIV test once a year, with the expectation that the result will remain negative, assuming your sexual practices remain generally safe and you assure ahead of time that your partners aren't infected.
As for this particular event, you have strong evidence your partner does not have HIV. Of course HIV infected people can lie, but most don't, especially when asked outside the immediate sexual situation. Even if he had HIV, with such brief exposure after the condom ruptured, the chance of transmission would have been very low, probably no more than 1 chance in 1000, as a guess.
Bottom line (no pun intended): The risk of HIV is virtually zero in this situation and I do not recommend testing. Of course you are free to do it if this reassurance doesn't settle your fears and you would sleep better knowing you have had a negative test.
Let's plan on this as your last such question. Also, please note MedHelp's policy about a maximum of 2 questions every 6 months on the professionally moderated forums (see Terms and Conditions).
Best wishes. Stay safe-- HHH, MD