Enforce strict anti-hallucination policies in Math.skill

[Wholiver]

This PR implements a strict anti-hallucination and zero-tolerance policy against "plausible BS" in Math.skill. It modifies SKILL.md and related modules to remove any instructions allowing for "best attempts" when verification fails. The model is now mandated to explicitly admit failure, stop derivation, and refuse to output unverified answers or fabricate math logic when it lacks confidence or verification methods fail.

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PR created automatically by Jules for task 13929397006830989254 started by @Wholiver

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[Copilot]

Pull request overview

This PR tightens Math.skill’s “verification-first” contract by removing any allowance for “best-effort” or qualified-but-unverified final answers when verification fails, and by adding explicit anti-hallucination refusal guidance across core policy modules.

Changes:

• Updated SKILL.md failure-handling policy to require explicit failure admission and refusal to provide a final answer after repeated verification failure.
• Expanded the verification engine’s failure protocol with strict “no fake verification / no forced pass” constraints.
• Added explicit anti-hallucination interaction guidance (new Scenario 0) and general anti-fabrication rules in the error-prevention module.

Reviewed changes

Copilot reviewed 4 out of 4 changed files in this pull request and generated no comments.

File	Description
SKILL.md	Tightens failure-handling rules to forbid unverified final answers and mandate refusal when verification cannot be made to pass.
modules/verification_engine.md	Strengthens the verification-failure protocol with explicit anti-hallucination constraints.
modules/interaction_policy.md	Adds Scenario 0 for “unable to verify / very low confidence” with a refusal-oriented response template.
modules/error_prevention.md	Introduces general anti-hallucination / anti-fabrication guardrails to apply before domain-specific rules.

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