  Recent advancements have expanded Hardy's nonlocality arguments into
multisetting and multidimensional systems to enhance quantum correlations. In
comparison with Hardy's nonlocal argument, Cabello's nonlocal argument (CNA)
emerges as a superior choice for illustrating nonlocal features. An open
question persists regarding the potential extension of CNA to arbitrary (k, d)
scenarios. Here, we answer this question both in theory and experiment.
Theoretically, by utilizing compatibility graphs, we construct a new logical
framework for multisetting and multidimensional CNA, demonstrating an increase
in the maximum successful probability with setting k and dimension d.
Experimentally, by employing controllable photonic orbital angular momentum
entanglement, we exhibit nonlocality with an experimentally recorded
probability of 20.29% in the (2, 4) scenario and 28.72% in the (6, 2) scenario.
Our work showcases a sharper contradiction between quantum mechanics and
classical theory, surpassing the bound limited by the original version.
