We present a novel abstract interpretation-based static analysis framework for proving Termination Resilience, the absence of Robust Non-Termination vulnerabilities in software systems. Robust Non-Termination characterizes programs where an untrusted (e.g., externally-controlled) input can force infinite execution, independently of other trusted (e.g., controlled) variables.Our framework is a semantic generalization of Cousot and Cousot’s abstract interpretation-based ranking function derivation, and our sound static analysis extends Urban and Miné’s decision tree abstract domain in a non-trivial way to manage the distinction between untrusted and trusted program variables. Our approach is implemented in an open-source tool and evaluated on benchmarks sourced from SV-COMP and modeled after real-world software, demonstrating practical effectiveness in verifying Termination Resilience and detecting potential Robust Non-Termination vulnerabilities.