You apply the highest applicable DR.
If a creature has damage reduction from more than one source, the two forms of damage reduction do not stack. Instead, the creature gets the benefit of the best damage reduction in a given situation.
If you have DR 2/- from an adamantine breastplate and DR 10/adamantine from Stoneskin, check vs. the weapon attacking you.
If the weapon is +4 bonus enhancement equivalent or made of adamantine, you ignore up to 2 points of damage from it from your DR 2/-.
If the weapon isn't, you ignore up to 10 points of damage from it from your DR 10/adamantine, and subtract that amount from the total able to be blocked by the stoneskin spell.
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What if a mundane dagger hits someone with Stoneskin and an Adamantine Breastplate for either 1 or 2 damage? Can the damage be negated with the Breastplate rather than the Stoneskin? Can the defender choose?
They don't stack. So you apply "both". The net result is the 2 damage doesn't get through and you remove 2 points from stone skin.
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What if a mundane dagger hits someone with Stoneskin and an Adamantine Breastplate for either 1 or 2 damage? Can the damage be negated with the Breastplate rather than the Stoneskin? Can the defender choose?They don't stack. So you apply "both". The net result is the 2 damage doesn't get through and you remove 2 points from stone skin.
Questionable. The rule say "If a creature has damage reduction from more than one source, the two forms of damage reduction do not stack. Instead, the creature gets the benefit of the best damage reduction in a given situation."
So the questions are:
What is the "best" DR in a given situation?
My reply would be
a) the DR that block more damage from that attack;
after that,
b) the DR the is degraded less when both stop the same quantity of damage;
So in the above example the adamantine armor DR is the best DR, as it will block all the damage (2 hp) and it is not degraded.
and then
c) the one that is more specific (i.e, if one DR give you DR 10/magic against ranged weapons and the other DR 10/adamantine against every attack, the first is the best one to use against non magical ranged weapons, the second is the best one against every other attack).
To add, Stoneskin say: "Once the spell has prevented a total of 10 points of damage per caster level (maximum 150 points), it is
discharged."
If the spell don't stop the damage, because other effects have stopped it, it isn't degraded.
If you have Protection from Arrows and Stoneskin one of those spell stop the damage and is degraded, not both.