Non-chronological backtracking was considered an important and necessary feature of conflict-driven clause learning (CDCL).译文：非按时间顺序回溯被认为是冲突驱动小句学习(CDCL)的一个重要且必要的特征。

However, a SAT solver combining CDCL with chronological backtracking succeeded in the main track of the SAT Competition 2018.译文：然而，将CDCL与时间回溯相结合的SAT求解器在2018年SAT竞赛的主赛道上获得了成功。

In that solver, multiple invariants considered crucial for CDCL were violated.译文：在那个求解器中，多个被认为对CDCL至关重要的不变量被调整了。 In particular, decision levels of literals on the trail were not necessarily increasing anymore. 译文：特别是，在测试过程中，文本的决策级别不再必然增加。

The corresponding paper presented at SAT 2018 described the algorithm and provided empirical evidence of its correctness, but a formalization and proofs were missing. 译文：在SAT 2018上发表的相应论文描述了该算法，并提供了其正确性的经验证据，但缺少形式化和证明。

Our contribution is to fill this gap. We further generalize the approach, discuss implementation details, and empirically confirm its effectiveness in an independent implementation.译文：我们的贡献就是填补这一空白。我们进一步推广了该方法，讨论了实现细节，并在独立实现中实证验证了其有效性。