FILL OUT THE 7 GALLON POT. POUR 4 GALLONS IN THE FOUR GALLON POT. WE WILL HAVE 3 GALLON REMAINING IN 7 GALLON POT.POUR ALL 3 GALLON IN 4 GALLON POT.FILL THE 7 GALLON POT ONCE AGAIN. MIX 1 GALLON WATER FROM 7 GALLON POT WITH 3 GALLON IN 4 GALLON POT AND EMPTY IT.U HAVE 6 GALLONS IN 7 GALLON POT.NOW AGAIN FILL THE 4 GALLON POT FROM 7 GALLON POT AND EMPTY THE 4 GALLON POT U WILL HAVE 2 GALLONS REMAINING IN 7 GALLON POT.POUR THESE 2 GALLONS IN 4 GALLON POT FILL THE 7 GALON POT AGAIN POUR 2 GALLON FROM IT IN THE FOUR GALLON POT U WILL HAVE 5 GALLON REMAINING IN 7 GALLON POT.

Don't get too excited. You don't need to write in all caps. We can all read lower-case letters fine.

Why not just buy a new bucket? All this fannying about seems like too much trouble.

This logic problem is the same as the "Measure 4 gallons with a 3-gallon and a 5-gallon bucket"

7 4
4 0
4 4
7 1
1 4
5 0

This is the answer I got:

fill 7-gallon (0 in 4, 7 in 7)
pour 7-gallon into 4-gallon (4 in 4, 3 in 7)
empty 4-gallon (0 in 4, 3 in 7)
pour 7-gallon into 4-gallon (3 in 4, 0 in 7)
fill 7-gallon (3 in 4, 7 in 7)
pour 7-gallon into 4-gallon (4 in 4, 6 in 7)
empty 4-gallon (0 in 4, 6 in 7)
pour 7-gallon into 4-gallon (4 in 4, 2 in 7)
empty 4-gallon (0 in 4, 2 in 7)
pour 7-gallon into 4-gallon (2 in 4, 0 in 7)
fill 7-gallon (2 in 4, 7 in 7)
pour 7-gallon into 4-gallon (4 in 4, 5 in 7)
empty 4-gallon (0 in 4, 5 in 7)

fill the 7 gallon and pour it into the 4 gallon.. leaving 3 gallons in the 7

pour out half of the four gallons - leaving 2 gallons..

pour the 2 galllons into the 3 gallons....5 GALLONS!!!

too easy

I think the following would be an easier solution:
Fill the 4 gallon bucket with water and then tilt it until the level of the water is exactly at the bottom edge of the bucket. Even without gradations, we know the bucket will now be exactly half full, meaning it contains 2 gallons of water. Fill the 7 gallon bucket and pour water from it into the half empty 4 gallon bucket until it is full. Exactly 5 gallons of water will remain in the 7 gallon bucket.

You made it more complicated...
God Bless!

There is more solutions.
Fill 7 , pour it to 4, left 3 in 7
Cast 4 out, and fill it with 3 form 7
Fill 7 and pour 1 to 4 (since it has 3 already), 7 is left with 6
cast 4 out, pour from 7 to 4 ( 7 is left with 2)
Cast 4 out, pour 2 from 7, fill 7 ( 4 has 2, 7 has 7)
Pour 2 from 7 to 4 (which already has 2 ) and you are left with 5 in 7