counterexample-generator

counterexample-generator is a skill for Claude Code, Codex from ArabelaTso/Skills-4-SE. It costs 68 tokens per session (4,970 once invoked), scanned A, original, Apache-2.0.

A debugging aid that creates specific examples showing why formal checks fail. Formal verification uses rules or proofs to test whether software always meets its stated conditions.

In plain words
What is it for?
Use it to find invalid inputs, failing return values, inconsistent final states, broken object or loop rules, unexpected side effects, and incorrect exceptions.
Why use it?
It turns abstract failures such as a broken assertion, postcondition, or invariant into concrete inputs and execution traces that developers can investigate.

Skill for Claude CodeCodex

Written for no agent in particular: nothing here depends on one.

Good fit Use it to find invalid inputs, failing return values, inconsistent final states, broken object or loop rules, unexpected side effects, and incorrect exceptions.

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Install with agentmods
npx agentmods add skills/arabelatso/skills-4-se/counterexample-generator
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add ArabelaTso/Skills-4-SE --skill counterexample-generator
Clone the repo
git clone --depth 1 https://github.com/ArabelaTso/Skills-4-SE

Made for: Claude Code, Codex.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for counterexample-generator

README.md
[![agentmods](https://agentmods.dev/badge/skills/arabelatso/skills-4-se/counterexample-generator/github.svg)](https://agentmods.dev/skills/arabelatso/skills-4-se/counterexample-generator)
Your own site
<a href="https://agentmods.dev/skills/arabelatso/skills-4-se/counterexample-generator"><img src="https://agentmods.dev/badge/skills/arabelatso/skills-4-se/counterexample-generator/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for counterexample-generator

Your own site · 80×15
<a href="https://agentmods.dev/skills/arabelatso/skills-4-se/counterexample-generator"><img src="https://agentmods.dev/badge/skills/arabelatso/skills-4-se/counterexample-generator.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 68 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 4,970 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe. Third-party audits
  • NVIDIA SkillSpector pass 7 Sept 2026
How audits are shown
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00068 $0.04970
Opus 5 $0.00034 $0.02485
Sonnet 5 $0.00014 $0.00994
Haiku 4.5 $0.00007 $0.00497

Measured 11d ago against content hash d1cd4412f180, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-10, from the pricing page.

Security

Grade A, and why

counterexample-generator scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 11d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

skills/counterexample-generator/SKILL.md · 848 lines

How it starts

The opening of the file, as written. The whole thing — 848 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Counterexample Generator

Systematically generate counterexamples that demonstrate why verification fails. Provides concrete input values, execution traces, and diagnostic information to help understand and fix specification or implementation issues.

Core Capabilities

1. Precondition Violation Detection

Generate inputs that violate preconditions:

  • Invalid parameter values - Out-of-range inputs
  • Null/undefined references - Missing required objects
  • State violations - Invalid object states
  • Type mismatches - Incorrect types
  • Constraint violations - Broken business rules

2. Postcondition Failure Analysis

Find executions where postconditions fail:

  • Return value violations - Wrong return values
  • State inconsistencies - Incorrect final states
  • Invariant breaks - Invariants violated after execution
  • Side effect errors - Unexpected modifications
  • Exception failures - Wrong or missing exceptions

3. Invariant Violation Discovery

Identify cases where invariants break:

  • Class invariant violations - Object consistency broken
  • Loop invariant violations - Invariant not maintained
  • Data structure violations - Consistency broken
  • Temporal violations - Time-based properties fail
  • Concurrency violations - Race conditions exposed

4. Execution Trace Generation

Produce detailed execution paths:

  • Step-by-step traces - Line-by-line execution
  • State snapshots - Variable values at each step
  • Branch decisions - Which paths taken
  • Call stacks - Function call hierarchy
  • Symbolic execution - Constraint-based paths

Counterexample Generation Workflow

Step 1: Identify the Failure

Understand what verification failed:

From verification tools:

Verification failed: Postcondition violated
Function: withdraw
Line: 15
Property: account.balance == old(account.balance) - amount

From assertions:

AssertionError: assert result >= 0
  in function: sqrt
  with input: x = -1

Read the full file on GitHub · 848 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 11d ago First seen · 848 lines · 68 tokens per session scan A d1cd4412f180

Subscribe to this mod's changes

counterexample-generator is a skill published in the GitHub repository ArabelaTso/Skills-4-SE (251 stars, last pushed 20d ago), licensed Apache-2.0. It adds 68 tokens to every session and 4,970 once invoked, about $0.0003 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-08-30.

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