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I have done the Einstein's Riddle exercise with linear programming. I implemented this solutions in Gusek. How can i tell if there is more than one solution?

Einsten's riddle:

There are 5 houses in five different colors. In each house lives a person with a different nationality. These five owners drink a certain type of beverage, smoke a certain brand of cigar and keep a certain pet. No owners have the same pet, smoke the same brand of cigar or drink the same beverage.

Constaints:

the Brit lives in the red house

the Swede keeps dogs as pets

the Dane drinks tea

the green house is on the left of the white house

the green house's owner drinks coffee

the person who smokes Pall Mall rears birds

the owner of the yellow house smokes Dunhill

the man living in the center house drinks milk

the Norwegian lives in the first house

the man who smokes blends lives next to the one who keeps cats

the man who keeps horses lives next to the man who smokes Dunhill

the owner who smokes BlueMaster drinks beer

the German smokes Prince

the Norwegian lives next to the blue house

the man who smokes blend has a neighbor who drinks water

Can I tell which constraints are redundant?

Thank you for your help

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Here is a snippet of my code:

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Here's what it is:

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My Code:

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I have this column named display.

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Below is the query :