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In recent years, G\"odel's ontological proof and variations of it wereformalized and analyzed with automated tools in various ways. We supplementthese analyses with a modeling in an automated environment based on first-orderlogic extended by predicate quantification. Formula macros are used tostructure complex formulas and tasks. The analysis is presented as a generatedtype-set document where informal explanations are interspersed withpretty-printed formulas and outputs of reasoners for first-order theoremproving and second-order quantifier elimination. Previously unnoticed orobscured aspects and details of G\"odel's proof become apparent. Practicalapplication possibilities of second-order quantifier elimination are shown andthe encountered elimination tasks may serve as benchmarks.

Applying Second-Order Quantifier Elimination in Inspecting G\"odel's Ontological Proof