[ { "api_error_status": null, "duration_api_ms": 15122, "duration_ms": 15149, "fast_mode_disabled_reason": "sdk_opt_in_required", "fast_mode_state": "off", "first_content_frame_ms": 1687, "is_error": false, "modelUsage": { "claude-opus-5": { "cacheCreationInputTokens": 5410, "cacheReadInputTokens": 0, "canonicalModel": "claude-opus-5", "contextWindow": 1000000, "costBasis": "list", "costUSD": 0.07826, "inputTokens": 2, "maxOutputTokens": 64000, "outputTokens": 966, "provider": "firstParty", "thinkingTokens": 385, "webSearchRequests": 0 } }, "num_turns": 1, "permission_denials": [], "queued_turn_count": 0, "result": "This postcondition quantifies universally over the entire output program: it walks every operation at any nesting depth and keeps those whose name is exactly `dataflow.thread` and that have at least one region whose first block list is non-empty, so threads with no region or with an empty first region are simply not selected. For each selected thread it reads the thread's own `function_type` attribute, projects its declared input type list, and takes that many leading entry-block arguments from `regions[0].blocks[0]`, collecting their types; the two sequences are then paired positionally with `zip_exact` and every pair must compare equal as types. Because the left sequence is truncated by `take(n)`, a thread whose entry block carries *more* arguments than the signature declares is accepted as long as the leading prefix matches, while a thread with *fewer* arguments than declared inputs yields a short left sequence and `zip_exact` makes the assertion fail with both lengths as the witness. Values come only from the output program \u2014 the argument types come from the entry block of the thread's first region and the expected types come from the thread operation's own `function_type` attribute \u2014 and the `input` program is never consulted, so nothing here relates output to input. Equality is type equality, position by position, with no allowance for reordering, conversion, or partial matching. A selected thread that lacks a `function_type` attribute, or whose `function_type` is not a type-valued attribute of function kind, produces an evaluation error rather than a pass or a clean failure. The condition is vacuously satisfied when the output contains no thread operations meeting the selection filter, and likewise for any selected thread whose declared input list is empty, since the zipped sequence is then empty and the inner universal quantification holds trivially. Non-vacuous force arises only when at least one bodied `dataflow.thread` declares one or more input types.", "result_index": 0, "session_id": "bf224824-bf97-4bac-8d54-48b990a32d18", "stop_reason": "end_turn", "subagent_stats": { "by_type": {}, "completed": 0, "failed": 0, "killed": { "parent": 0, "system": 0, "user": 0 }, "max_depth": 0, "refused": { "budget": 0, "concurrency_limit": 0, "depth_limit": 0 }, "requested": { "background": 0, "foreground": 0, "unset": 0 }, "spawned": 0, "spawned_by_subagents": 0, "started_in_background": 0 }, "subtype": "success", "terminal_reason": "completed", "time_to_request_ms": 27, "total_cost_usd": 0.07826, "ttft_ms": 7041, "ttft_stream_ms": 1269, "type": "result", "usage": { "cache_creation": { "ephemeral_1h_input_tokens": 5410, "ephemeral_5m_input_tokens": 0 }, "cache_creation_input_tokens": 5410, "cache_read_input_tokens": 0, "inference_geo": "not_available", "input_tokens": 2, "iterations": [], "output_tokens": 966, "output_tokens_details": { "thinking_tokens": 385 }, "server_tool_use": { "web_fetch_requests": 0, "web_search_requests": 0 }, "service_tier": "standard", "speed": "standard" }, "uuid": "344ed1d7-5f2b-4091-9c87-e8523cc1e296" } ]