Propagate in this context means to spread, disseminate, or reproduce.
So, "refusal to propagate" means a refusal to spread, disseminate, or reproduce something.
The specific meaning depends on the context of the sentence. Here are some possible meanings:
* Refusal to spread an idea or belief: For example, "The group's refusal to propagate the false rumors kept the community informed."
* Refusal to reproduce: For example, "The government's refusal to propagate its own population led to a decline in its workforce."
* Refusal to reproduce something tangible: For example, "The artist's refusal to propagate his artwork resulted in a limited number of copies."
To understand the exact meaning, we need more information about the context of the sentence.