AgentSkillsCN

smtprofiling

调试发送至 Z3 的 F* 查询,诊断证明过程中的稳定性问题与性能瓶颈。

SKILL.md
--- frontmatter
name: smtprofiling
description: Debug F* queries sent to Z3, diagnosing proof instability and performance issues

Invocation

This skill is used when:

  • Verifying F* (.fst) or interface (.fsti) files
  • Debugging verification failures and proof performance
  • Especially when proofs require high rlimits or fail unpredictably

Core Operations

Collect an .smt2 file for problematic proof

Wrap the part of the program to diagnose proof failures with

fstar
#push-options "--log_queries --z3refresh --query_stats --split_queries always"
let definition_to_be_debugged ...
#pop-options

Run F* on the file (with appropriate include paths)

bash
fstar.exe Module.fst

The log messages will show the name of the .smt2 file logged for each proof obligation

Verify .smt2 file independently of F*

Find z3 in the path. It might be named z3-4.13.3, z3-4.15.1 etc., with a version number suffix

bash
z3 queries-myquery.smt2

You can add z3 options like smt.qi.profile=true to see which quantifiers were firing too much and what to do about it

Interpreting a quantifier profile

Some quantifiers in F*'s SMT encoding always fire a lot---this is by design. Typically, quantifiers with unqualified names (Box_bool_proj_0) or those with names in Prims, or FStar. Pervasives will fire a lot.

Look for quantifiers in modules that are in files that you authored that are firing a lot---these might signify that you should write a pattern for those quantifiers, or control their instantiation explicitly.

More information on SMT profiling

Find the directory PoP-in-FStar on the local machine, or locate it here: https://github.com/FStarLang/PoP-in-FStar

The section under_the_hood/uth_smt.rst contains information about F*'s SMT encoding and how to profile.