Which version of a contract is accepted by a court?

YOUR STATE NAME - Ohio
I hired a mover company to move my furniture to my new house. After the truck arrived at the destination, the two workers suddenly wanted me to sign on the receipt, indicating that they would not be responsible for any damage of the table when unloading. I did sign it. Then they started to unload. They pulled off all miscellaneous stuff in the back until the dinning table was exposed to our sight. I immediately noticed that the table was damaged. Suddenly I realized why they wanted me to sign the statement.
My question is,
There are two versions of receipt (contract). One contains the statement I signed. This receipt was issued for a purpose of estimate before the workers started to work. The other one was issued after all jobs were done. This one does not contain the statement and is only version I got from the mover. According to law, which version of a receipt should be ONLY and FINAL one accepted by a court? Should both of them are acceptable?

[JETX]

Are the two contracts timestamped... or in some way obvious which is the final one (so that a court can see which is the latter)??

If so, then the last contract is the binding contract... as a replacement of any prior ones. The fact that the damage waiver was NOT included in the final one is their error.