https://github.com/digama0/mm-hammer

A tool for automatically proving Metamath theorems using ATPs
https://github.com/digama0/mm-hammer

Last synced: 2 months ago
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A tool for automatically proving Metamath theorems using ATPs

• Host: GitHub
• URL: https://github.com/digama0/mm-hammer
• Owner: digama0
• Created: 2023-02-21T14:55:53.000Z (almost 2 years ago)
• Default Branch: main
• Last Pushed: 2023-02-23T15:55:42.000Z (almost 2 years ago)
• Last Synced: 2024-05-22T21:32:48.321Z (8 months ago)
• Language: Rust
• Size: 40 KB
• Stars: 6
• Watchers: 3
• Forks: 1
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

Awesome Lists containing this project

• awesome-rust-formalized-reasoning - Metamath hammer - tool for automatically proving Metamath theorems using ATPs. (Projects / Libraries)

README

        
# Metamath hammer

This is a tool for running Vampire and Prover9 on metamath problems,

and reconstructing them into a valid metamath proof that can be copied

into the .mm file.

To get started, you will need Rust (https://rustup.rs) and [SBCL](https://www.sbcl.org/)

(`sudo apt install sbcl` on Debian). Then run make.sh:

```shell

$ ./make.sh

...

Testing mm-hammer with premise selection on a simple chainy problem

hllatd

Learning done; awaiting your features ...

0.83user 0.05system 0:00.89elapsed 100%CPU (0avgtext+0avgdata 332728maxresident)k

0inputs+32outputs (0major+84877minor)pagefaults 0swaps

      ( chlt wcel clat hllat syl ) ABDEZBFEZCBGH $.

Done! If you see something like

   ( chlt wcel clat hllat syl ) ABDEZBFEZCBGH $.

above then it's working.

To run the hammer, use

  cargo run --release build/set.mm + NEW.mm mythm

where NEW.mm is a file to be appended to set.mm which has a

'mythm $p' theorem in it (the proof is ignored and can be '?').

```

The install script does a test run at the end, which you can see above.

You can run it yourself with:

```shell

$ cargo run --release build/set.mm + example/hlopdNEW.mm hlopdNEW 2> /dev/null

      ( chlt wcel cops hlop syl ) ABDEZBFEZCBGH $.

```

Here `hlopdNEW.mm` contains just a theorem statement:

```

  ${

    hlopdNEW.1 $e |- ( ph -> K e. HL ) $.

    $( Deduction version of ~ hlop .

       (Contributed by Prover9, 23-Feb-2023.) $)

    hlopdNEW $p |- ( ph -> K e. OP ) $=

      ? $.

  $}

```

The program spits out a proof block that you can paste in to replace the

`?` here.