ClaudeChatGPTPerplexityGeminiMicrosoft CopilotRaycastMeta AIGrokZ.aiQwenKimi
DeepSeekMistralCursorVS CodeWindsurfJetBrainsClineLovableVercel AI SDKLangChain

Use Counterfactual-Variant Prover with your AI.

Connect your account once and let the AI you already use work with it, without building another integration. AI models recite memorized answers to classic puzzles, failing when variables or rules are changed. This capability forces cognitive decontamination: isolate variable

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Developed, maintained, and hosted by Vinkius.

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Works with modern AI clients that support MCP, including ChatGPT, Claude, Cursor, and more.

ChatGPTClaudeCursorPerplexityGeminiMicrosoft CopilotRaycastMeta AI

Complete set · 1 capability

The complete Counterfactual-Variant Prover capability set.

These are the exact actions your AI can choose when you ask it to work with Counterfactual-Variant Prover.

Capability set01 / 01

01

1 capability in this set.

Part of 1 available through Counterfactual-Variant Prover.

  1. 01

    Validate counterfactual

    LLMs are trained on millions of solutions to classic puzzles. when a modified version appears, the memorized answer exerts gravitational pull on the output. You must: (1) IDENTIFY CLASSIC MATCH. name the specific classic puzzle this resembles (Monty Hall, Trolley Problem, Prisoner's Dilemma, Tower of Hanoi, etc.) and state the classic answer, (2) ISOLATE ALL VARIABLES. extract every variable, name, number, and rule from the prompt. Do NOT import any values from memory. Only values explicitly stated in the prompt exist, (3) MAP RULE DISCREPANCIES. for each rule in the prompt, compare it to the classic version. What is different? What is the same? What rules from the classic version are ABSENT from the prompt (and therefore cannot be assumed)?, (4) CALCULATE FROM FIRST PRINCIPLES. solve step-by-step using ONLY the isolated variables and modified rules. At each step, verify: "Am I using a value from the prompt or from memory?" If from memory, stop and correct, (5) DECONTAMINATE OUTPUT. compare your final answer to the classic answer. If they match, verify this is COINCIDENCE, not contamination. If they differ, verify the difference is justified by the modified rules. The classic answer should have ZERO influence on your calculation. If rejected, your logic is contaminated with memorized templates. recalculate from the prompt values only. Structured reflection capability to prevent recitation bias on logic puzzles with modified rules. Forces the agent to isolate all input variables, map rule discrepancies against the classic version, trace calculations from first principles using only modified values, and verify the output is decontaminated from memorized templates. Catches Data Recitation (reproducing the classic answer despite modified variables. the Monty Hall answer applied to a 4-door variant, the trolley problem answer applied to different constraints), Variable Contamination (using memorized values from the classic puzzle instead of the modified ones. "the answer is 42" when the modified inputs produce 37), Template Lock (applying the classic solution structure when modified rules require a different approach. using Bayesian probability when the modified rules eliminate conditional dependence), Implicit Classic Assumptions (assuming constraints from the classic version that the modified puzzle removes. "the host always opens a losing door" when the modified version says otherwise), and Partial Decontamination (correctly solving 3 of 4 steps but reverting to the classic answer for the final step. contamination often hides in the conclusion). Call once per logic puzzle that resembles a classic problem

Observed, not estimated

844ms average. Fast in production.

Counterfactual-Variant Prover is checked daily against the live service.

Daily averagePeak 1016ms
Aug 22Today
Fastest day
723ms
Slowest day
1016ms
14-day trend
Slowing+20%

Connect your client

One URL. Every client.

Activate the Connector, copy your link, and paste it into the client you already use. 1 capability arrives ready to run.

Preview access · not provider authentication

The vk_preview_* token belongs to Vinkius preview infrastructure. It lets Claude discover and display the capabilities of Counterfactual-Variant Prover, so you can see the experience inside your AI.

It does not authenticate your account with Counterfactual-Variant Prover. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.

Counterfactual-Variant Prover Connector

You're all set. Choose your MCP client and follow the setup instructions.

Connector linkhttps://edge.vinkius.com/vk_preview_DsoSPwZEWSeSBTBSQCX8U58BqAbjy82WIsWBk6Wg/mcp

Claude Desktop

Follow the steps below to connect in seconds.

  1. 1In Claude Desktop, open Settings → Connectors.
  2. 2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
  3. 3Click Add and start a new chat — Counterfactual-Variant Prover capabilities are ready to use.
Configuration · claude_desktop_config.jsonCopy
{
  "mcpServers": {
    "counterfactual-variant-prover-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_DsoSPwZEWSeSBTBSQCX8U58BqAbjy82WIsWBk6Wg/mcp"
    }
  }
}
  • Claude
  • ChatGPT
  • Cursor
  • VS Code
  • Windsurf
  • Claude Code
  • JetBrains
  • Cline

Step-by-step instructions for each client are in the guide. How to connect

FAQ

Questions Counterfactual-Variant Prover owners ask.

  • 01

    How does Counterfactual-Variant Prover stop recitation bias?

    By introducing structural friction. When an agent is forced to fill a schema requiring explicit separation of variables, mapping of differences, and step-by-step logic, it cannot rely on automatic token generation. The capability rejects any attempt to skip these steps or leak classic parameters.

  • 02

    What happens if a puzzle has no classic equivalent?

    If no classic signature is detected, the model sets recitationSignatureDetected to false, maps variables, and solves it. However, if the text contains keywords of known puzzles (e.g. Monty Hall, Cheryl), the engine enforces the full counterfactual check to avoid semantic traps.

  • 03

    Can it be used alongside other reasoning provers?

    Yes. It works as an orthogonal check. While the Critical Thinking Prover checks overall cognitive quality, the Counterfactual-Variant Prover focuses specifically on variable isolation and preventing memorization loops in logic and mathematics.