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 has_pet (stuid VARCHAR, petid VARCHAR)
TABLE: CREATE TABLE pets (petid VARCHAR, pettype VARCHAR)
TABLE: CREATE TABLE student (stuid VARCHAR)

### Question ###
Find the id of students who do not have a cat pet.

### Accurate SQL ###

SELECT stuid FROM student EXCEPT SELECT T1.stuid FROM student AS T1 JOIN has_pet AS T2 ON T1.stuid = T2.stuid JOIN pets AS T3 ON T3.petid = T2.petid WHERE T3.pettype = 'cat'