If and when you cannot lift the sod from the ground, you need to cut way back on watering. Your sentence about water needs more explanation, but new sod should be watered lightly 3x per day at breakfast, lunch, and dinner time. Once the sod roots have knit to the ground underneath, then cut the watering in half. Start by going to every other day with 2x to 3x per day. A week later cut to once every 2 days but water a little longer to get the water deeper into the soil. Ideally by summer you should be watering once per week and applying a full inch at a time. That regimen should work even under most watering restrictions. Zoysia has a problem with recovery from injury. Here in San Antonio we had a lot of rain in the spring of 2013. Some of the zoysia lawns got a disease which browned it in some spots. Those spots never recovered in 2013. I'm watching them and expect to see them recover fully by next week. But that is the sort of poor performance which chases 90% of Texas zoysia owners away from that and back to St Augustine. These two hold-out zoysia owners are sitting in multi million dollar homes, so if they can't have excellent zoysia lawns, I doubt if anyone can. Here's what I expect to see in your lawn. Those brown spots will remain brown until the brown pieces break off and fall onto the soil below. Then they will turn gray as they decompost but no new grass will fill in. You may or may not have common bermuda grass trying to get a start in there. If it does, then you will forever have a mix of zoysia and bermuda. If you had this lawn installed, get them back out there and insist that the brown sod be replaced with green. They will, in turn, insist back that the grass will recover. Well, that depends on what your definition of recover is, because it will recover...by April of 2015, but not before. And you can't know what will happen to the spots between now and then.

If you are watering 3x per day for about 5 minutes each time, then you are watering properly. Recently someone wrote in who was told to water 3x per day 45 minutes each time. I wrote back to say it was probably 3x per day 4 to 5 minutes each time. Big difference. Do you know how long the sod sat on the pallet before putting it on the ground? And I'm confused about the topsoil, too. Why did you need topsoil at all?

Do you have a pic? That might help. What I've noticed, if you let grass grow too long and then cut it, you get brown spots. You might need to keep up with more frequent watering. It takes time for the sod to grow deep roots to be able to handle infrequent watering. Also, was the soil properly prepared before they laid the sod?

You should have been keeping the sod moist by watering it LIGHTLY, three times per day, for the first 3 weeks after putting the sod down. It doesn't sound like you were doing that. Regardless, it sounds like it's wet enough now. Zoysia has a fatal flaw in my book. When it goes bad, it doesn't seem to matter what month it went bad, it remains dead looking for the remainder of the season. Then in April (or March for you in FL), it finally comes back like nothing ever happened. So whether your problem was too much water or not enough water, the grass is likely to be "dormant" for the rest of the year. Can you lift any of the squares of sod or are they all knitted down to the soil by new roots? Did you get watering instructions from the sod installer? If so, what were they? Have you measured the output of your sprinklers? You can do that by timing how long it takes your sprinklers to fill several cat food or tuna cans placed around the yard. My sprinkler takes 8 hours to fill the cans. My neighbor's high flow system takes 20 minutes. It all depends on YOUR system. Once you have that time, that will become the time you water every time you need to water. It might seem like a long time to water but you're not going to do it very often. For example I did not water my Texas desert lawn until mid July this year. Why? Because the roots on my lawn were deep enough to capture deeeeeeep water from the occasional rain we got. But my yard might have been an exception for other reasons. Here's the basic watering plan for the US (except for the triangle from Green River, UT down to Palm Springs, CA over to Junction, TX). Water deeply and infrequently. Deeply means a full inch at a time. Infrequently means with temps in the 90s or above, once per week. With temps in the 80s, once every 2 weeks. With temps in the 70s, once every 3 weeks. What this does is develop very deep roots which can take advantage of every rain storm for a good long time. It also allows the soil to dry out completely at the surface which prevents new weed seeds from sprouting. Proper watering is quite often the last correction people need to make to get their lawn to the next level of perfection and stop using herbicides to kill weeds. Why did you pick zoysia instead of the more normal bermuda or St Augustine?