By diaphragm at the tank are you referring to
A manual diaphragm pump in the tank discharge line? If so, it has nothing to do with pumpout, that pump is used to dump the tank at sea. I think Dick and Guy nailed your problem: your tank vent is blocked, which has pressurized the tank--pressurized it enough to put the tank at risk of bursting if it causing the diaphragm in a manual pump to balloon! So do NOT use your toilet again till you've cleared the vent!! Doing so can damage the system and also have consequences you will not enjoy! It's important to make sure the vent line stays open...so backflush it every time you wash the boat and/or pumpout. Tank vents have two functions:1. to provide an escape for air inside the tank displaced by incoming flushes. If that air can't get out the vent, the tank becomes pressurized, which can result in anything from an eruption in the toilet to a geyser when the pumpout fitting is opened to a burst tank. 2. to provide a source of air to replace tank contents as they're pumped out. If no air comes in, the pump will pull a vacuum, preventing any contents from being pumped out. In your case, the pumpout suction was strong enough to pull air into the tank through the toilet...which is why your toilet bowl emptied. That it was able to pull enough air through the toilet to allow the tank to be emptied (if, in fact, it actually was) says that's one VERY strong pumpout! Strong enough that, if it hadn't been able to get air through the toilet, it most likely would have imploded your tank. So relying on the toilet as an alternative to keeping the vent open is NOT a good idea!No...vents do not have valves...a tank vent should be an unobstructed line from the top of the tank to a thru-hull near the toe rail. It's the smallest hose, so you should have no trouble locating it.The most common locations for vent blockage are the vent thru-hull and the connection to the tank--both the tank fitting and that end of the vent line. Waste spills into the line when you're heeled, dries and builds up in the fitting and hose, and in the thru-hull...dirt daubers LOVE to build nests in vent thru-hulls, making blocked vents VERY common in the spring.I wouldn't recommend removing the vent line from the tank until you've relieved the pressure in the tank by opening the deck pumpout fitting. And I'd do that VERY carefully, with hose at the ready...'cuz unless the pressure in the tank has managed to escape through the toilet, there'll be a geyser out the pumpout fitting. I suggest you also check out the link below...it'll take you to a comprehensive "marine toilets and tanks 101 for dummies" manual that will explain how the equipment works and how to maintain it to prevent problems instead of dealing with 'em.