Here one needs to provide a proof that confirms $\{vv\}|--vv|.$ Once such a proof is found, we have a demonstration showing that the order of disjuncts is immaterial in logical entailment, for clearly the number of disjuncts could be expanded arbitrarily; so we declare that once this proof works, it's mere tedium to handle ${}_{1}vv{}_2$vvdotsvv${}_k,$ for any kinN. If your proof is to win a trophy, plus the $10$ points at stake here, no use of an oracle can remain within it$.$

Deadline $202422$ GMT $+83$:$50$