I'll think about it overnight and maybe have an attempt to sketch out the mathematics tomorrow. For my own curiosity.
My thinking is that:
Assuming that both ships were the same - and they both had the inertia device - if the goal was to reach Resurgum, both would have to start deceleration at, more-or-less, the same point. Therefore, if that was the case, Skade's ship should always, assuming she actually didn't half-scuttle herself, be ahead of Clavain - although the gap between them would drop as soon as she applied deceleration. (Although, Skade because she started first, would always have been expanding the gap ahead of Clavain during the first acceleration phase)
If the goal had been for Clavain, behind, to get to Skade, ahead, then, presumably he could continue accelerating a little beyond the 'Resurgum deceleration point' and allowing him to pass her on-route, and I suppose having a close up attempt at destroying her*. But, he would then have overshoot the destination system and have to turn around, costing valuable time. If he failed to significantly damage or miss Skade's ship in the attempt then Skade would definitely arrive in the system well before him.
Have I missed anything?
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*And presumably giving her a close up attempt at destroying him, but also would it be a very fleeting chance as the velocity differential between the two craft might be quite large?