What is known about the consistency strength of


ZFC + the continuum is real valued measurable + Martin's maximum?



Joint consistency of continuum real valued measurable and Martin maximum
[Martin's maximum](https://en.wikipedia.org/wiki/Martin%27s_maximum) implies the continuum is $\aleph\_2$, and therefore it is not real-valued measurable, since real-valued measurable cardinals must be limit cardinals and indeed weakly inaccessible and weakly Mahlo and more. 


So unfortunately, what is known about your theory is that it is inconsistent. 


