:- consult('sovereign_verification.pl'). generate_problems(Intent, MathlibCtx, OperatorSig, OutputFile) :- setup_call_cleanup( open(OutputFile, write, Stream), json_write_dict(Stream, _{ id:"demo-problem-1", statement:Intent, context:MathlibCtx, tacticHint:"aesop", meta:_{ source:"granite-4.1-verifier", timestamp:"2026-07-14T00:00:00Z", operatorSig:OperatorSig, maxSteps:30, allowedTactics:["rw","simp_all","norm_num","linarith","nlinarith","aesop","apply","exact","intro","obtain","cases","induction"] } }, [width(0)]), close(Stream) ). call_granite(InputFile, OutputFile) :- setup_call_cleanup( open(InputFile, read, In), read_string(In, _, Content), close(In) ), setup_call_cleanup( open(OutputFile, write, Out), format(Out, "{\"problemId\":\"demo-problem-1\",\"status\":\"proposed\",\"proofScript\":\"~w\",\"diagnostics\":[]}~n", [Content]), close(Out) ). parse_and_validate(JsonlFile, success(JsonlFile)). %% Shell out to `lake exe verify -- --parse ` and capture exit code. %% Requires SWI-Prolog shell/2. Lake must be on PATH or LAKE_BIN env set. execute_verification(JsonlFile, Result) :- ( getenv('LAKE_BIN', Lake) -> true ; Lake = 'lake' ), atomic_list_concat([Lake, ' exe verify -- --parse ', JsonlFile], Cmd), ( shell(Cmd, 0) -> Result = result(0, verified) ; Result = result(1, parse_failed) ). verify_with_retries(Intent, OperatorSig, MaxRetries, FinalResult) :- verify_loop(Intent, OperatorSig, 0, MaxRetries, FinalResult). verify_loop(Intent, OperatorSig, Attempt, MaxRetries, FinalResult) :- Attempt < MaxRetries, generate_problems(Intent, ["import Mathlib"], OperatorSig, 'input.jsonl'), call_granite('input.jsonl', 'granite_response.jsonl'), parse_and_validate('granite_response.jsonl', ParseRes), ( ParseRes = success(_) -> execute_verification('granite_response.jsonl', KernelResult), ( KernelResult = result(0, _) -> FinalResult = success(KernelResult) ; NextAttempt is Attempt + 1, verify_loop(Intent, OperatorSig, NextAttempt, MaxRetries, FinalResult) ) ; NextAttempt is Attempt + 1, verify_loop(Intent, OperatorSig, NextAttempt, MaxRetries, FinalResult) ). verify_loop(_, _, Attempt, MaxRetries, fail(max_retries_exceeded)) :- Attempt >= MaxRetries.