Example of flasque but non-soft sheaves?

Question

Does anyone have an interesting examples of a flasque but not soft $\mathscr{O}_X$-module over a ringed space? Of course with $X$ being non-paracompact.

Answer 1

If I understood your question in the right way, no-one can have.

Citing Wikipedia:

Flasque sheaves are soft and acyclic.

So you cannot have a flasque but non soft sheaf.