Fault and error detection is crucial for ensuring the correctness of safety-critical systems. Safety verification often addresses reachability of bad system states, where exhaustive state inspection may be intractable due to the large state spaces of complex systems. We propose a reachability relaxation for hybrid trace nets, a useful mathematical model for analyzing concurrent event systems, to efficiently verify system safety. We further use our relaxation to effectively identify invariants, expressions that hold in all reachable states, allowing state-space reduction for efficient verification. Empirically, our approach proves unsafe states unreachable in 1.5x more instances, generates 2.5x more invariants with up to 2 orders of magnitude faster generation times than the baselines in the tested problems.

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