The recent survey published in Fuzzy Sets and Systems nicknamed ``Hitchhiker's Guide'' has raised the rating of quasi-copula problems in the dependence modeling community in spite of the lack of statistical interpretation of quasi-copulas. Some of the open problems listed there were solved, and some conjectured one way or the other. This paper concentrates on the Open Problem 5 of this list concerning bounds on the volume of a $d$--variate quasi-copula. We disprove a recent conjecture published in the same journal on the lower bound of this volume. We also give evidence that the problem is much more difficult than suspected and provide hints about its final solution.

翻译：尽管拟耦合函数缺乏统计解释，但近期发表于《模糊集与系统》的题为“漫游指南”的综述文章提升了拟耦合函数问题在相依性建模领域的关注度。该综述中列出的部分开放问题已得到解决，部分猜想也获得了证实或证伪。本文聚焦于该列表中关于$d$元拟耦合函数体积界限的开放问题5。我们证伪了近期发表于同一期刊上关于该体积下界的一个猜想。我们还通过证据表明该问题比预想的更为复杂，并为其最终解决方案提供了线索。