Zero Knowledge Proofs are super interesting. There is a large assortment of literature dedicated to studying commitment schemes, soundness, and completeness.
Thankfully, we can just ignore all that literature and come up with a random number.
In this challenge, we are assuming that the prover (the server that we connect to and query), will commit all of its values before we check a given clause. Since this is a standard 3-SAT problem, the clauses are recorded in conjunctive normal form (a fancy way to say that they are all OR'd together), and each clause must evaluate to True. So, a perfect prover will never have a clause that consists of all Falses. This allows us to write a simple check for a bad prover:
if True not in arr:
r.sendline('false')
break