Am I liable for a pipe burst

[Alexandria Dobbins]

we currently live in an apartment and we had a pipe burst with our aquatherm system. The pipe is in our ceiling and we live on the fifth floor. Our apartment is saying we are liable for damages because we don't use heat often and we sometimes use our ac in the winter (never when it is freezing temps). Can they really hold us liable for damage to the property? I don't see how they can dictate when we can use our utilities. Our apartment gets so hot from the surrounding units there is no need to use our heat ever. I also know that water pools above our unit and then freezes at night. That seems more feasible as to why it froze. Any advice would be much appreciated.