Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE Student (fname VARCHAR, lname VARCHAR, StuID VARCHAR)
TABLE: CREATE TABLE Allergy_Type (Allergy VARCHAR, allergytype VARCHAR)
TABLE: CREATE TABLE Has_allergy (StuID VARCHAR, Allergy VARCHAR)

### Question ###
List the first and last name of the students who do not have any food type allergy.

### Accurate SQL ###

SELECT fname, lname FROM Student WHERE NOT StuID IN (SELECT T1.StuID FROM Has_allergy AS T1 JOIN Allergy_Type AS T2 ON T1.Allergy = T2.Allergy WHERE T2.allergytype = "food")