So it is:
ORC: odd rows and columns are 1-9 no repeat; even ones are not (i.e. they can repeat).
NN: no nonets
AK: Anti-King - diagonally adjacent cells are not equal
FNC: Ferz Non-concecutive - diagonally adjacent cells are not consecutive
NC: adjacent cells are not consecutive
The killer cages are DONC
D - digitised: one of the cells is the last digit of the cage total.
O - ordered: the cell numbers increase from top left to bottom right - row dominant e.g. r3c2 is before r4c1.
NC - non-consecutive: all numbers in a cage are NC to each other.
Two cages overlap at r1c1 and also at r7c5
Solution:
159483726
837161594
615948372
493726159
261594837
948371615
726159483
594937261
372615948
