# Demo of the AtpClient Smart Cells

```elixir
Mix.install([
  {:kino_atp_client, "~> 0.5"}
])
```

## Configuring a backend

Open the **ATP Backend Configuration** cell to wire each backend you intend to
use. The form is schema-driven — fields come straight from
`AtpClient.<Backend>.config_schema/0`, grouped into Connection / Defaults /
Advanced. Click **Verify connection** to call the backend's `verify/1` callback
before depending on its settings.

For Isabelle in particular: if the `isabelle` executable is on `PATH` (or
`ISABELLE_TOOL` is set, see the section on the zero-config path below), leave every field blank — the cell will auto-spawn a
local server and reuse one `HOL` session across solves. Fill in `host`, `port`,
`password`, etc. only when targeting a remote `isabelle server`.

Note that you will have to _run_ the cell for the configuration to be applied.

<!-- livebook:{"attrs":"e30","chunks":null,"kind":"Elixir.KinoAtpClient.BackendConfig","livebook_object":"smart_cell"} -->

```elixir
# ATP Backend Configuration: no values set yet.

```

## SystemOnTPTP

`SystemOnTPTP` needs no credentials — the cell ships ready to pick a prover
from the live-fetched list and run it.

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```elixir
# Generated by ATP Solver (backend: SystemOnTPTP)
problem = "thf(example, conjecture,\r\n    ![X:$i, Y:$i]: ((X = Y) => (![F:$i>$i]: ((F @ X) = (F @ Y))))\r\n)."
system = "Zipperpin---2.1"
time_limit = 5

case AtpClient.SystemOnTptp.query_system(problem, system, time_limit_sec: time_limit, raw: true) do
  {:ok, output} ->
    IO.puts(output)
    output

  {:error, reason} ->
    raise "SystemOnTPTP error: #{inspect(reason)}"
end

```

## Isabelle (zero-config)

With a local `isabelle` on `PATH`, the same TPTP problem runs against the
auto-managed session. Switching the backend dropdown to `Isabelle` swaps the
header controls (proof method picker) and the result panel (per-lemma table).

In case there are issues loading the `PATH` or `ISABELLE_TOOL` environment variables (e.g., the Livebook Desktop release for MacOS does not load these variables), you can update these from this Elixir runtime by executing the following line in a code cell:

<!-- livebook:{"force_markdown":true} -->

```elixir
System.put_env("ISABELLE_TOOL", "/path/to/isabelle/binary")
```

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```elixir
# Generated by ATP Solver (backend: Isabelle)
problem = "thf(a, conjecture, ![P:$o]: (P => ~P)).\r\nthf(b, conjecture, ![P:$o]: (P => P))."

# Uses the auto-managed local Isabelle server when `isabelle` is on PATH,
# otherwise falls back to AtpClient.Isabelle's remote-config path.
case KinoAtpClient.IsabelleRuntime.available?() do
  :ok -> KinoAtpClient.IsabelleRuntime.query_tptp(problem, proof_method: "try oops")
  {:error, _} -> AtpClient.Isabelle.query_tptp(problem, proof_method: "try oops")
end

```

## Other backends

Switch the backend dropdown to `StarExec` or `LocalExec` to run against a
self-hosted StarExec deployment or a locally installed TPTP-compliant prover
(E, Vampire, …). Both normalize their output to a single SZS-status badge.