Attempts to resolve the Quandary:
6
Henry's relationship with his mother was dominated by a lacuna, the result of her periodically disappearing, for months at a time, to some mysterious, transmontane life; when she died, he began to clean out the Augean stable she'd left him (a large house cluttered floor-to-ceiling with detritus accumulated over a lifetime), hoping, by this sedulous project, to finally learn who she had been during those absences on the other side of the mountain. (by roch)
5
He was a pleasant young boy possessing a sedulous nature, despite his age and transmontane background, very well suited to being my grandson’s body servant and proved to be a difficult lacuna to fill in our household staff when Tiberius found him so attractive and shipped him to that Augean stable of debauchery of his on Capri; leaving little Caligula so angry I’m sure he’ll never forgive his uncle. (by gumo420)
4
The transmontane winds swept down into Denver and created an unexpected lacuna in the Augean stable that was the back seat of Eliot's car, in which he could now tenderly place the wall safe he had worked so sedulously to remove from Professor Latham's office. (by cusheamus)
3
As he set about updating his resume, Quentin faced a quandary - was it better to acknowledge his six months sedulous service as chief latrine boy at the notorious transmontane coprophiliac retreat "The Augean Stables", or should he just leave a lacuna in his work history for the period in question? (by sionnach)
2
There appeared to his friends to be a serious lacuna in the landowner's ambition, i.e. to lave the Augean stable of his horribly contaminated water supply through the sedulous labors of dragooned transmontane hillbillies, down on their luck but not up on the niceties of completing tasks that extended beyond even minimal quotidian practices. (by tree)
1
Indifferent to the lacunae in their sophisms, with ruthless efficiency and sedulous attention to detail the authorities moved swiftly to deport all transmontane immigrants, convincing the indigenous population that the doctrine of eugenics required the Augean stables of miscegenation to be sluiced out. (by Bud Myte)

7
Frankie's dream of selling the deli and retiring to some transmontane paradise is on hold while he cleans an Augean stable of legal complications stemming from his recent, uncharacteristic eruption of violence, as described in this headline: “Deli Owner Slaps Customer Who Returns Bagel After Sedulous Inspection Reveals Oversize Lacuna." (by Rudi)