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Was this a washer that was installed by you or it it the landlord's washer?
Was there any damage other than just the puddle?
Ok, if you didn't install the washer, then any leak wouldn't be your fault unless you were aware of it and then failed to notify the owner of the problem so they could repair it. The owner is responsible for maintaining their property and making sure that all appliances are functioning properly.
So since you had nothing to do with the leak, and were using the washer normally, you aren't liable here..
As an aside, in addition to being an attorney, I have also been a landlord for over 26 years...
That wouldn't necessarily apply to a negligent installation if the leak came from the water line going into the washer. The landlord is just saying that he is providing the washer "as is" and if it breaks he won't repair it. But that still wouldn't make you liable if you were using it normally and it started leaking as that is his problem to deal with. He could refuse to repair it or provide a new one, but any damage is his responsibility.