Hob-VL: A Benchmark for Visually Grounded Boolean Reasoning

Reliable visual reasoning requires composing multiple visual observations and preserving their answers across logically equivalent expressions. We introduce Hob-VL, a benchmark for visually grounded Boolean reasoning. Hob-VL comprises of two tasks: (1) evaluating whether a Boolean rule holds in an image, and (2) identifying the (unique) object satisfying a Boolean description. Hob-VL contains 6,000 human-verified balanced Yes/No questions, each defined by a Boolean combination of ten visual statements, across 1,000 generated scenes and 46 diverse labeled photographs, along with 1,000 object-identification questions over the same photographs. Our question families are deliberately constructed to challenge reasoning through misleading local cues and nested logical operations, and include symbolic and structured natural-language presentations. Across eight model configurations with thinking disabled or minimized, Boolean accuracy ranges from 48.52% to 50.57%, while the identification accuracy reaches at most 43.0%. A thinking-enabled GLM configuration achieves substantial but uneven gains, but still demonstrates notable failure modes. Hob-VL exposes these failures through executable reference answers and matched evaluations.