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A statement of fact is a statement concerning an objective question,
such as "Is every even number greater than 4 the sum of two prime
numbers?". A statement of fact can be right or wrong or true or
false, even if it isn't known at the present time which of those is
the case. The statement "Four colors suffice to color any planar
map such that adjacent regions do not have the same color" is a
statement of fact, both now and 60 years ago before the statement
had been proven. Both P==NP and P!=NP are statements of fact, even
though one of them must certainly be false; the key property is
that they are objective statements, subject to falsification. If I
say "The Earth is flat", that is a statement of fact, even though
the statement is false.
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