Exo-inulinase involved in utilization of the plant storage polymer inulin, consisting of fructooligosaccharides with a degree of polymerization (DP) value from 2 to 60. Splits off terminal fructose units successively from the non-reducing end of the inulin molecule, and also hydrolyzes levan, stachyose and raffinose. Hydrolysis of terminal, non-reducing (2->1)- and (2->6)-linked beta-D-fructofuranose residues in fructans. Expression is induced in presence of maltose, sucrose or inulin and controlled by the catabolite repressor creA and by the inulinolytic genes regulator inuR. Belongs to the glycosyl hydrolase 32 family.