It would be nice to clone a full ProverEnvironment with its current stack (it would also be ok if the full SolverContext is cloned).

Our use case: We incrementally build a conjunction of boolean formulas and want to check the satisfiability of the conjunction after each additional boolean formula.
To do this, the use of the prover stack yields a significant speedup (compared to always using a new prover environment).
Now we have the case that, for a given formula, we have two different options that we want to follow.

Example:

• Let's assume we have the formulas $a$ and $b$ on the current stack: $\langle a, b\rangle$.
• As a first option, we want to continue with formula $c$, so we push to get $\langle a, b, c\rangle$.
• As a second option, we want to continue with formula $\neg c$ instead. So we would like to clone the environment with $\langle a, b\rangle$ on the stack, and push $\neg c$ to get $\langle a, b, \neg c\rangle$.

Currently, we have to create a new prover environment for one of the two options because we can not clone the prover environment. This means that we have to do a first expensive SAT-check that (at least in my expectation) has to recompute everything it already knows about $\langle a, b \rangle$.

Question 1: Is it possible to clone a ProverEnvironment or SolverContext with current ProverEnvironment?

Question 2: Is this the correct way to go about it, or is there some other smart way to do this?

Thanks!