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. Hydrolysis of terminal, non-reducing (2->1)- and (2->6)-linked beta-D-fructofuranose residues in fructans. Belongs to the glycosyl hydrolase 32 family.