The given query is Co-related Nested query and it's execution order it TOP-BOTTOM-TOP.
Query is
SELECT C.sid
FROM Catalog C
WHERE NOT EXISTS (SELECT P.pid
FROM Parts P
WHERE P.color='Red'
AND (NOT EXISTS (
SELECT C1.sid
FROM Catalog C1
WHERE C1.sid=C.sid
AND
C1.pid=P.pid
)))
Here we have 2 cases
Case 1: No red Color part is available: In this case
SELECT P.pid FROM Parts P WHERE P.color='Red'
Would return an empty row Set and the "AND" condition after it would fail, so inner query result set would be empty always and hence NOT exists true always and hence all suppliers from the Catalog relation would be listed.
Case 2: Red Color part is available:
SELECT C.sid
FROM Catalog C
Select a tuple from Catalog C, and take it's sid(C.sid)
SELECT P.pid
FROM Parts P
WHERE P.color='Red' .........(1)
AND
(NOT EXISTS
(
SELECT C1.sid
FROM Catalog C1
WHERE C1.sid=C.sid
AND
C1.pid=P.pid ...................(2)
)))
Condition (1) would select all RED color parts, with their part ID's
Condition (2) will take the Sid from the outermost query (C.sid) and for this supplier, it will check whether he has supplied a Red color part, and if he does, he will be enlisted by condition (2).
But NOT EXISTS is applied on condition (2) and this will cause to select only those Red color part and their part Id's, which this supplier(C.sid) has not supplied.
Consider there are three red color parts (P1,P2,P3) and there are two suppliers S1 which supplies P1,P2 and Supplier S2 suppliers P1,P2,P3.
For Supplier S1,
Condition (1) would enlist P1,P2,P3
Condition (2) along with NOT EXISTS would result in FALSE for Part P1 and P2 , but true for P3.
so Condition 1 AND 2 would result in tuple with part Id P3 and this is a RED color part not Supplied by Supplier S1.
Since NOT Exists is present in the outermost query, this supplier S1, would be rejected from the result set.
For Supplier S2,
Condition (1) would enlist P1,P2,P3
Condition (2) along with NOT EXISTS would be false for All parts P1,P2,P3 and hence
Condition (1) AND Condition (2) would be false and result in an empty result set, resulting in setting NOT EXISTS clause in the outer query to be TRUE, and Supplier S2 would be enlisted in result set.
Hence, the given query selects all Suppliers who supply every red Part provided Red parts were Available.