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Impossible to contradict element at college working with horses

Ross

I believe the answer is:

ironclad

I'm a little stuck... Click here to teach me more about this clue!

'impossible' is the definition.
Both the definition and answer are adjectives. Perhaps there's an association between them I don't understand?

'contradict element at college working with horses' is the wordplay.
I cannot quite understand how this works, but
'element' could be 'iron' (iron is a kind of element) and 'iron' is found in the answer.
'college' could be 'c' and 'c' is located in the answer.
The remaining letters 'lad' is a valid word which might be clued in a way I don't see.
This may be the basis of clue (or it may be nonsense).

'to' is the link.

Can you help me to learn more?

(Other definitions for ironclad that I've seen before include "Well protected, like armoured alibi" , "Protected warship" , "Unassailable" , "Early armoured warship" , "monitor, for example" .)

I've seen this clue in the Irish Times.
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