Step 1: The danger of lavage in corrosive ingestion is mechanical - a stiff tube against burnt mucosa risks perforation.
Step 2: Mineral acids such as $HCl$, $H_2SO_4$ and $HNO_3$ produce exactly this kind of deep corrosive burn, so washing out the stomach is barred for them.
Step 3: Phenol (carbolic acid) is the classic exception taught in toxicology: despite being corrosive, gastric lavage can and should be carried out.
Step 4: So the one acid that does not contraindicate lavage is carbolic acid.
\[\boxed{\text{Carbolic acid}}\]