[
  {
    "query": "Pursue the full conjecture by trying three approaches; keep going after a route fails.",
    "should_trigger": true
  },
  {
    "query": "Continue the investigation until we have a proof or a counterexample.",
    "should_trigger": true
  },
  {
    "query": "Try several alternative mechanisms for these two remaining proof obligations and keep going after failures.",
    "should_trigger": true
  },
  {
    "query": "Continue this research program across the remaining routes and maintain a concise current handoff.",
    "should_trigger": true
  },
  {
    "query": "Close out this completed research phase and compact its status and route history without starting another proof attempt.",
    "should_trigger": true
  },
  {
    "query": "Write a retrospective closeout for the finished descent program, keeping its historical outcome separate from later proofs.",
    "should_trigger": true
  },
  {
    "query": "Audit the proof of Lemma 2.",
    "should_trigger": false
  },
  {
    "query": "Proofread this paragraph.",
    "should_trigger": false
  },
  {
    "query": "Review our project and suggest what to try next, without doing research.",
    "should_trigger": false
  },
  {
    "query": "Record the failed route and its obstruction in the ledger.",
    "should_trigger": false
  },
  {
    "query": "Migrate our flat research log into program indexes, with a retrospective closeout for each old program.",
    "should_trigger": false
  },
  {
    "query": "Continue the research program after an inconclusive attempt; another proposed continuation remains untried.",
    "should_trigger": true
  },
  {
    "query": "Only record this inconclusive run and its remaining continuation in the existing .mathbox ledger.",
    "should_trigger": false
  },
  {
    "query": "Continue the full research program in this read-only host and return a deferred packet for material findings.",
    "should_trigger": true
  }
]