Finite graph refutation instrument · human + agent

One graph is enough.

A universal claim can survive a thousand examples and still fail once. Assemble the claim, search the declared finite order, and inspect the first graph that ends it.

Put a claim under pressure

The interface shifts weight from for every graph to there exists a graph when the search finds a witness.

Why one witness is enough

A universal statement is false as soon as one object satisfies every premise and violates the conclusion. Finite Witness preserves that object and the exact search prefix that found it.

FW / TEST 01 Untested
Live universal claim

Every connected, minimum degree at least 2 graph with at least 3 vertices must contain a triangle.

Declared range 3 ≤ |V| ≤ 6
∃ / 02

Inspect the consequence

Ready 0 graphs tested

Instrument armed

The claim is intact.

Change a premise or run the ordered search. If the line breaks, the first witness will occupy this field.

Shared state / WebMCP

The reasoning passes through one sheet.

01Human frames ∀Premises and conclusion stay visible.
02Agent enumeratesEight WebMCP tools operate this same state.
03Both inspect ∃The graph, metrics, search prefix, and certificate agree.
Case file / 04

Witness archive

Each filed witness preserves the universal claim it broke, the concrete graph, and the exact finite search record.

No witness filed yet.

Find one above, then preserve its certificate here.
Margin log

State changes

Human actions and WebMCP calls write to the same audit margin.

  1. Workspace initialized. Waiting for a human or WebMCP call.