Thank you for your reply. If you signed the lease that has the liquidated damages in it, despite you not getting a copy of it, then you would be bound by that language. Any oral agreement does not override the written contract when it comes to property issues. Of course there could be a legitimate issue of whether or not you were presented those pages at the initial signing of the lease (in other words given a chance to read them), especially if your initials are not on those pages. But, that would have to be hammered out in court.
Normally under Tennessee landlord tenant law, if the lease was silent on what happens with early termination, the landlord would have a duty to mitigate their damages. That means that they would have to take reasonable steps to rerent the property and once it is rerented, your duty to pay would end. The issue here remains that contract language. I can't tell you how this would play out in court should it come to that since I don't know what evidence there is that you saw, or were able to see, this part of the rental agreement when you signed it and whether a court would side with you all if you said it wasn't presented when you signed it, since there is apparently no signature or initials on those pages.
Your options are to try to negotiate a settlement that is a middle ground, which I believe paying a few months extra rent is reasonable, since the landlord would have to sue you and take their chance that the court would believe that you never saw that part of the contract, which in turn would mean they wouldn't get any extra money beyond the time it takes to rerent the unit. The other option is to refuse to pay and wait to be sued and see what the court decides.
You can see the landlord tenant act by going to the following link: https://www.oakridgetn.gov/images/uploads/Documents/Departments/CommDev/RentalRegistration/UniformResidentialLandlordandTenantAct7.12.12.pdf0.pdf
One thing extra here, is that unless they informed you of what account they were keeping your security deposit when you moved in, they cannot keep any of your security deposit, even if there is rent owed or damages. Please read the Act for that language.
Feel free to ask for clarification if needed. If none is needed, then if you could take a moment to leave a positive rating in the box above, I will receive credit for assisting you today. Thank you