surmise
US /sɚˈmaɪz/
UK /sɚˈmaɪz/

1.
suppose that something is true without having evidence to confirm it
:
•
He surmised that she was not interested in the offer.
•
From the look on her face, I surmised that she was upset.
1.
a supposition that something may be true, even though there is no evidence to confirm it
:
•
It was a mere surmise, not a proven fact.
•
His surmise turned out to be correct.