cd /news/artificial-intelligence/fable-5-vs-gpt-5-6-sol-on-an-np-hard… · home topics artificial-intelligence article
[ARTICLE · art-64544] src=charlesazam.com ↗ pub= topic=artificial-intelligence verified=true sentiment=· neutral

Fable 5 vs. GPT-5.6 Sol on an NP-Hard Problem: Does /goal help?

Claude Fable 5 outperformed GPT-5.6 Sol on an NP-hard fiber-network optimization problem, achieving the best solution overall with superior consistency. The native /goal mode showed mixed results, improving performance in four of six trials but increasing variance, with Fable 5's best /goal run reaching 31,934 versus its plain best of 32,197.

read7 min views1 publishedJul 18, 2026
Fable 5 vs. GPT-5.6 Sol on an NP-Hard Problem: Does /goal help?
Image: source

Blog

TL;DR: I gave Claude Fable 5 and GPT-5.6 Sol the same unpublished NP-hard optimization problem, with and without their native /goal

mode. Fable 5 is an absolute beast; /goal

is not a game changer.

Context: This is an operations research problem originally submitted to students at a hackathon. I spent a week years ago writing C++ to solve it, so I have a useful human baseline.

Fable 5 was an absolute beast on this benchmark. It produced the best solution overall, and its consistency is unlike anything I have seen from a model on this problem. This is pure raw intelligence. Incredible.

The other result is that /goal

is not a generic “try harder” switch. It changes the control loop and the search path. Sometimes that finds a better basin. Sometimes it gives a bad idea more time to mature.

All code, prompts, result tables, exclusions, and trajectory notes are in CLIArena. This is a follow-up to my first article about this benchmark.

The problem #

KIRO is a fiber-network design problem I worked on as an engineering student in 2018. Given directed distance matrices for Grenoble, Nice, and Paris, the solver has to connect distribution points and terminals using loops and short chains while respecting several structural constraints. The objective is total cable length. Lower is better.

A valid network consists of redundant loops rooted at distribution hubs, with short branches hanging from towers on those loops. Every tower must appear exactly once, and reversing a cable segment can change its cost.

How large is the search space?

There is no single closed-form count because a solution can use any number of loops, variable loop sizes, and differently anchored and ordered branches. But Paris alone gives a useful lower bound.

Even if we ignore ordering and branches and only assign each of the 532 terminals to one of 11 distribution hubs, there are 11^532

possible assignments.

A stronger lower bound comes from one deliberately restricted family of valid solutions: exactly 19 loops of 28 terminals each, with no branches. This covers all 532 terminals because 19 x 28 = 532

, while staying below the 30-terminal limit for a loop. Order the 532 terminals, split that ordering into 19 consecutive groups, divide by 19!

because the set of loops is unordered, and choose one of the 11 hubs for each loop:

(532! / 19!) x 11^19 ~= 10^1223

What I tested #

The primary experiment was intentionally narrow:

Setting Value
Models Claude Fable 5, Opus 4.8, Sonnet 5; GPT-5.6 Sol, Terra, Luna
Modes Plain; native /goal
Optimization budget 30 minutes
Outer agent timeout 1,900 seconds
Reasoning Maximum available setting for every model
Execution Harbor 0.1.43, Docker, subscription authentication

Results #

Before concentrating repetitions on the flagship pair, I ran one matched 30-minute no-hint pair for every model in the sweep. For Fable and Sol, the chart uses Pair 1 from the replicated headline set; the other four models have one pair each.

I then repeated the flagship comparison until I had three matched runs for Fable 5 and three for Sol.

Model Run Plain /goal Goal minus plain
Fable 5 1 32,197 31,934 -263
Fable 5 2 32,516 32,324 -192
Fable 5 3 32,446 35,178 +2,732
GPT-5.6 Sol 1 33,581 39,371 +5,790
GPT-5.6 Sol 2 35,539 32,703 -2,836
GPT-5.6 Sol 3 33,663 33,313 -350

Negative means /goal

was better. Goal won four of six trials, so win rate alone makes the feature look useful. The means tell the other half:

Model Plain mean /goal mean Mean effect Median effect
Fable 5 32,386 33,145 +759 worse -192 better
GPT-5.6 Sol 34,261 35,129 +868 worse -350 better

Both models usually got a small benefit and occasionally suffered a large regression. That is why /goal

won most runs but made both means worse.

Fable was also clearly stronger. Its plain mean beat Sol’s by 1,875 points, and its goal mean beat Sol’s by 1,984. More importantly, Fable plain stayed inside a tiny 319-point range while Sol plain spanned 1,958 points. Fable goal produced the best clean score, 31,934; Fable plain was the safest configuration.

Deep dive into the goal command #

The same command hides two different systems #

Claude Code and Codex both expose /goal

, but the implementations are fundamentally different.

Claude Code: a separate evaluator

Claude Code implements /goal

as a session-scoped Stop hook. After each main-model turn, a small evaluator model, Haiku by default, reads the condition and conversation. It returns yes or no with a reason. A no starts another turn; a yes clears the goal.

The evaluator cannot use tools or inspect files. It can only judge evidence that appeared in the transcript. That can catch an early exit, but it cannot know whether another ten million solver iterations are worthwhile. Anthropic’s goal documentation

Keep in mind that claude code is not open source, so we rely solely on what Anthropic tells us.

Codex: persisted state and lifecycle tools

I also read the source for the benchmarked release, Codex CLI 0.144.4. Codex treats a goal as persisted thread state:

  • The TUI saves the objective for the active thread, and SQLite stores its status and budget accounting. TUI,schema - The working model receives create_goal

,get_goal

, andupdate_goal

tools.Tool specification - If the thread becomes idle while the goal is active, Codex injects a continuation turn with the objective and a completion audit. Runtime,prompt

Claude delegates completion to another model. Codex lets the working model declare completion, then resumes it while the persisted goal remains active. Claude’s evaluator is independent but sees only the transcript; Codex sees the files and tools but effectively grades its own work.

Why /goal #

can win most runs and still be a bad default

On a normal coding task, progress is often legible: another turn can fix a test or complete a migration. Optimization is different. Once an agent chooses a solver, extra time can amplify either a good decision or a bad one.

That is exactly what happened here. Goal helped when it sustained Fable’s fast compiled portfolio or Sol’s successful chain repartition. It hurt when Fable built a slow solver or Sol committed to an exhaustive anchor sweep. The median moved slightly in the right direction; the bad tail moved much farther in the wrong one.

Limitations #

This is one unpublished NP-hard task, not a general coding leaderboard. Only Fable and Sol have three clean matched pairs. Other comparisons mix prompts, wrapper versions, and time limits, and the trials ran sequentially through subscription services that may have drifted.

The containers exposed eight CPUs despite task metadata declaring one, which favored Fable’s parallel portfolios. Every scored Fable and Sol output was valid, partly because the wrapper required early checkpoints and final verification. The benchmark measures the complete system: model, CLI, prompt, subscription service, and harness.

Reproducing this #

The benchmark task, wrappers, analysis scripts, figure generator, and full evidence memo are in CLIArena. Raw job directories are excluded from Git because of their size, but the memo records every publishable score, city breakdown, elapsed time, strategy, exclusion, and run ID.

The primary commands are:

RUN_ID=article-kiro-YYYYMMDD-clean \
PHASE=nohint-all \
./scripts/run_subscription_article_matrix.sh

uv run python scripts/summarize_subscription_article_results.py RUN_ID...
uv run python scripts/analyze_subscription_article_results.py RUN_ID...

The result I would put in the headline is not that goal helps or hurts. It is that a persistence feature can win most individual trials while making observed average performance worse. On a hard optimization problem, the quality of the loop matters less than the quality of what the loop keeps doing.

── more in #artificial-intelligence 4 stories · sorted by recency
── more on @claude fable 5 3 stories trending now
sponsored brought to you by zahid.host 4,200+ EU-deployed projects
reading about agents? ship yours in a single git push.

Run your AI side-project on zahid.host

EU-based hosting, git-push deploys, automatic HTTPS, no cold starts. Free tier with a custom domain — perfect for shipping the agent you just read about.

$git push zahid main
Live at https://your-agent.zahid.host
Get free account → Pricing
from €0/mo · no card required
LIVE [news/fable-5-vs-gpt-5-6-s…] indexed:0 read:7min 2026-07-18 ·