Each tool targets a clearly distinct resource: one free catalog/discovery call and four paid verifiers scoped to non-overlapping domains (vault rounding, Polymarket NegRisk solvency, ZK/BitVector, differential consensus). An agent can pick the right verifier from the domain keywords alone, and the free/paid split is explicit in the descriptions.

All five names share the `x402_` prefix and four use the `verify_<target>` pattern, giving a predictable structure. The lone deviation is `x402_bazaar_catalog`, which is a noun-style discovery name rather than a verb_action, but it is still readable and its role is obvious.

Five tools is tightly scoped for a specialized formal-prover service: one discovery entrypoint plus four verifiers, each covering a distinct class of proof obligation. No tool appears redundant or padded.

The surface covers discovery plus verification for the four advertised vulnerability classes and pricing is exposed via the catalog. Minor gaps exist: there is no tool to poll status or retrieve results/history of a submitted proof, and no generic 'verify arbitrary spec' escape hatch, which agents would need for long-running Z3 jobs.