Since the air in the above room is seldom that humid, moisture is going to constantly diffuse from the slab into the air and as the surface dries it will continue to draw moisture up from the bottom of the slab.As in your case when the ground beneath the slab is very wet & the slab surface will remain damp, slick and moisture will condense beneath any objects placed on the slab.

How it was explained to me was that the clog is due to the vent exiting out of the roof instead of the side of the house and that condensation makes this problem worse.

There is no furnace, its a condenser and blower unit with a heating coil inside, all electric.

Some of the Bosch units are condensation dryers, so they dont need ducting.  

Nice to see condensed version here :-)@Antonio Coleman.

I don't understand that because if it were the case, wouldn't the ducts develop condensation inside walls as well, developing mold?

I got a good price with 10% discount and it would cost more overall to have the contractor come back later to install the AC condenser part. 

The important part is to prevent warmer, moister air from traveling to cooler surfaces where it will condense.

All the copper has been stolen from the property as well as front and back doors and condenser from HVAC unit.

I think this space could have been used to teach kids about the water cycle, as it was continuing to drip and form new condensation droplets on the mold for the first few days after the leak was stopped and mitigation in process.