Stocks traded sluggishly in a case of the post-holiday doldrums Tuesday, a market mood that could prevail Wednesday if a report on the services sector is as expected.

The Institute for Supply Management's non-manufacturing suvey is the data to watch Wednesday, when it is released at 10 a.m. The Challenger layoffs report is out at 7:30 a.m., but ADP's private sector payrolls report, usually released Wednesdays, has been postponed until Thursday because of the July fourth holiday.

"The market will surely put more emphasis on the number (ISM) than it deserves," said Deutsche Bank chief U.S. economist Joseph LaVorgna.

"I think it will be a little bit softer, only because I think the quarter as a whole and June, in particular, wasn't that great. I think it will be down a little bit but hopefully not enough to get people too scared. I think that any weak data in June, people will still chalk up to Japan and residual slowdown from high energy and high commodity costs," he said.

LaVorgana expects the ISM survey, which shows activity in the service sector, to be 53.5, slightly less than consensus of 54 and below last month's 54.6. The ISM manufacturing survey Friday helped fuel a stock rally when it came in better than expected, though economists said some of the report's internals were weak.

The Dow Tuesday fell 12 to 12,569 and the S&P 500 slipped 1 to 1337, subdued moves after last week's powerful rally.