If we suppose that we start with an instance of k-SAT, and try converting the problem to an instance of (k+m)-SAT, where there are $(k+m)$ literals per clause, can we garauntee a reduction in the total amount of clauses?

If so, how much can we garauntee the total number of clauses can be reduced by?  For instance, if we start with k-SAT with $n_k$ clauses, what is the smallest garaunteed $n_{k+m}$, the new amount of clauses, that will result if we convert this instance to (k+m)-SAT?

More importantly, how do we carry out this conversion?

**MAYBE THIS SHOULD MIGRATE**

I'm not sure if this is appropriate for Theoretical Computer Science as a research question, so I posted here first.