If the oil market is a tug-of-war, the supply-side guys are being pulled face down into the mud.

Crude oil futures made a tepid run up toward $40 a barel on Wednesday as OPEC continued to talk about cutting production. But crude quickly sank below $37 when U.S. crude inventory numbers revealed an especially gloomy picture for oil demand. Crude stocks rose to 326 million barrels, and even stocks of refined products like heating oil rose sharply—in the middle of January, not a normal time to hoard heating oil, Bloomberg noted:

“When you get a 6 million-barrel build in distillate during the dead of winter, you are looking at a grim demand picture,” said John Kilduff, senior vice president of energy at MF Global Inc. in New York.

OPEC’s frantic efforts to curtail oil supply underscore how quickly global demand has evaporated. Venezuelan president Hugo Chavez said OPEC is “willing” to cut another 2 to 4 million barrels to shore up falling prices. To put that in perspective, OPEC’s total cuts since oil prices went south in late summer amount to 4.2 million barrels.

Saudi Arabia, OPEC’s biggest producer, isn’t even waiting for a new decision by the oil cartel. It said it would unilaterally reduce February oil production below its official quota of 8 million barrels per day, after already slashing production heavily to comply with a pair of OPEC cuts. That’s a sign that Saudi Arabia feels the need to take the lead in making big cuts in oil production, but it also exposes the country to backsliding by other OPEC members who historically have fudged their official output targets.

Oil bulls have maintained for months that the cuts OPEC has already made are enough to bring oil markets back into balance, likely in the second half of the year. If OPEC keeps cutting—and cutting massively—in a bid to turn around bear-minded oil markets, the first glimpse of global economic recovery might bring a quick and equally massive crude-price rebound.