The illegal/invalid line (6.A.5, 6.D.8). The document separates an order
that is impossible in this position from one this position allows that
merely did not come off. The first is ignored and its unit is holding like
any other; the second means the unit tried to leave and cannot be propped up
where it stands. An army sent across water with a fleet on the route and no
convoy ordered is the second; the identical order with nobody in the sea at
all is the first. Guessing at this once cost four passing cases to buy one.
Reading the document cost nothing -- it says so outright, in the note under
6.D.8 and again under 6.D.32.
A support that only looked like a hold (6.A.5). "Supports A Yorkshire" and
"Supports A Yorkshire - Yorkshire" are the same shape once parsed, and the
case turns on the difference: the first holds a unit down, the second
supports a move nobody can legally make. The extractor was throwing that
away; it now keeps it, and the fixture is regenerated.
The head of a cycle (6.F.22). Kruijswijk's resolver guesses that an order
fails, sees what follows, then guesses the other way. Only the outermost
order in a cycle may do that, because its answer is the one everything else
was computed against. This engine let any order that reached the dependency
list first declare the cycle its own -- and an inner one takes both guesses
with its callers' provisional answers held fixed, gets the same result twice
for that reason, and writes it down as settled. The cycle then becomes
invisible: the backup rule never runs and Szykman's rule never fires, and
the position resolves to whichever of its two consistent readings the search
happened to walk into first. It had been doing this on every paradox and
getting away with it, because on a first-order paradox both readings agree.
Also carried across from the reference algorithm: an order that resolved
itself while a nested call was away must not have the guess written over it.
Three remain. 6.F.28 and 6.F.29 are sixth-order paradoxes -- the same
twenty-six orders with one support between them, and the point of the pair
is that the answer swings on it, where this resolver gives both the same
answer. 6.G.19 the document itself gives three answers to, calls a little
bit pedantic, and advises adjudicators not to offer at all.