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timmy-config/docs/crucible-first-cut.md

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# Crucible First Cut
This is the first narrow neuro-symbolic slice for Timmy.
## Goal
Prove constraint logic instead of bluffing through it.
## Shape
The Crucible is a sidecar MCP server that lives in `timmy-config` and deploys into `~/.hermes/bin/`.
It is loaded by Hermes through native MCP discovery. No Hermes fork.
## Templates shipped in v0
### 1. schedule_tasks
Use for:
- deadline feasibility
- task ordering with dependencies
- small integer scheduling windows
Inputs:
- `tasks`: `[{name, duration}]`
- `horizon`: integer window size
- `dependencies`: `[{before, after, lag?}]`
- `max_parallel_tasks`: integer worker count
Outputs:
- `status: sat|unsat|unknown`
- witness schedule when SAT
- proof log path
### 2. order_dependencies
Use for:
- topological ordering
- cycle detection
- dependency consistency checks
Inputs:
- `entities`
- `before`
- optional `fixed_positions`
Outputs:
- valid ordering when SAT
- contradiction when UNSAT
- proof log path
### 3. capacity_fit
Use for:
- resource budgeting
- optional-vs-required work selection
- capacity feasibility
Inputs:
- `items: [{name, amount, value?, required?}]`
- `capacity`
Outputs:
- chosen feasible subset when SAT
- contradiction when required load exceeds capacity
- proof log path
## Demo
Run locally:
```bash
~/.hermes/hermes-agent/venv/bin/python ~/.hermes/bin/crucible_mcp_server.py selftest
```
This produces:
- one UNSAT schedule proof
- one SAT schedule proof
- one SAT dependency ordering proof
- one SAT capacity proof
## Scope guardrails
Do not force every answer through the Crucible.
Use it when the task is genuinely constraint-shaped.
If the problem does not fit one of the templates, say so plainly.