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Published example by Shingikai, run October 6, 2026, using anthropic/claude-opus-5.5, openai/gpt-6-luna, x-ai/grok-4.20.
Models: anthropic/claude-opus-5.5, openai/gpt-6-luna, x-ai/grok-4.20
Two quotes, both about $18,500 installed, and that equal sticker is the first thing to distrust. If you keep the Lennox's labor coverage for the full ten years, it costs $294 a year in years 3 through 10 — $2,352 more than the Carrier, which already covers labor for five years with no plan to maintain. So the real question isn't "which $18,500 system." It's whether the Lennox is worth roughly $2,350 more. And that turns on two things only you can answer: whether you'd actually pay for the twice-a-year maintenance the Lennox plan bundles in, and whether your house has a humidity problem the variable-capacity compressor would fix. The "18 vs. 16.5 SEER2" line the brochures lead with is close to a rounding error here.
We ran your two quotes through a council of three AI models — Claude Opus 5.5, GPT-6 Luna, and Grok 4.20 — over two rounds, and checked every number independently in a script. They converged.
You're replacing a 21-year-old Ruud furnace and AC in southeastern Pennsylvania. A Manual J load calculation gives a heating load of 64,565 BTU/hr and a cooling load of 35,861 BTU/hr — so this house spends most of its energy on heat, not cooling. Both quotes are about $18,500 installed, both include a new line set and a full furnace/AC/coil, and both propose a nominal 4-ton AC.
Everything that follows is a buying-decision analysis. The installation, the refrigerant, gas and electrical work, the duct and load-calc execution all belong to your licensed contractors. Where a number depends on something you didn't state — your electricity rate, how many hours the AC actually runs, how reliable either compressor is — it's left as a labeled assumption or branched both ways, never asserted.
The labor-coverage gap. The $294 runs for eight years, years 3 through 10:
| Years | Carrier labor | Lennox labor | Lennox plan cost |
|---|---|---|---|
| 1-2 | included | included | $0 |
| 3-5 | included | plan required | 3 × $294 = $882 |
| 6-10 | not in quote | plan required | 5 × $294 = $1,470 |
| Total | 5 years, $0 | 10 years | 8 × $294 = $2,352 |
So keeping the Lennox fully covered makes it effectively $20,852 to the Carrier's $18,500. That $294 also buys two maintenance visits a year — 16 visits over the eight years. Spread the whole plan across them and the break-even is $2,352 ÷ 16 = $147 a visit. If a tune-up in your area runs at or above $147 and you'd buy them anyway, the plan roughly pays for itself and the extra labor coverage rides along free. If you wouldn't buy them, the $2,352 is a real added cost.
The SEER2 gap is small. Going from 16.5 to 18 SEER2 is about 8.3% less cooling electricity. Put a dollar figure on it (assumptions labeled, not claims about your bill):
| Cooling run-hours (assumed) | At $0.18/kWh | At $0.24/kWh |
|---|---|---|
| 600 | ~$20/yr | ~$26/yr |
| 900 | ~$29/yr | ~$39/yr |
| 1,200 | ~$39/yr | ~$52/yr |
Call it $20-$52 a year, or $200-$520 over ten years undiscounted. It never catches the $2,352 plan cost, and because both furnaces are ~97% AFUE and most of your energy goes to heat, the efficiency difference barely moves your total bill. The efficiency rating is a tiebreaker at most, not a reason to choose.
The oversize. Both ACs are 46,500 BTU against a 35,861 BTU load — 46,500 ÷ 35,861 = 1.30×, about 30% over. Neither contractor would quote a smaller 3- or 3.5-ton unit, so you can't size your way out of it. What matters is how each handles it at part load, which is where the council's one real disagreement lived.
In round one, Grok argued the 30% oversize clearly favors the Lennox: an inverter modulates down and runs steadily where a two-stage unit short-cycles. Opus pushed back — a two-stage AC should be judged on its low stage, which might already fit the load. The question couldn't be settled without a number nobody had.
So in round two we got it: the Carrier's low stage is about 32,000 BTU/hr. That's 0.89× your cooling load — slightly under it. Which means on most summer days, below the design peak, the Carrier runs long, gentle low-stage cycles, not the choppy on-off of a genuinely oversized single-speed unit. The inverter's real advantage shrinks to the mildest days, where it can throttle lower still. That advantage is real, but it's a comfort-and-humidity benefit, not a money one — and if your house has never had a humidity problem, it's a benefit you may not need.
Opus added the sharpest correction of the run: that mild-day steadiness also shows up as efficiency, and the SEER2 rating already includes part-load and cycling operation. So you cannot count the inverter's smoother running as a separate saving on top of the $20-$52/year SEER2 figure. Doing so would be counting the same advantage twice.
A single careful model would have gotten the core right: the equal price hides a $2,352 plan, and the SEER2 headline is nearly irrelevant in a heating-dominated climate. All three landed there independently before comparing notes, which is itself worth something — three separately trained systems don't usually agree by accident.
But two catches needed more than one model. GPT caught Opus estimating furnace heating output by multiplying input by AFUE — which isn't how that rating works; AFUE is a seasonal fuel-efficiency number, not a nameplate output, so the right move is to ask each contractor for the published heating output, not to compute it. And Opus caught the double-counting trap on the inverter's efficiency, which a model arguing the Lennox's case in isolation would likely have walked straight into. The low-stage figure in round two is what dissolved the one genuine disagreement, turning "the inverter is clearly better at this oversize" into "better on mild days, by a margin that's mostly comfort."
With the low-stage number in hand, plus three things a buyer in your spot would come back with — that neither contractor will downsize, that a tune-up locally runs $150-$175, and whichever way you lean on maintenance and humidity — the council resolved cleanly. For a buyer who puts lowest lifetime cost and simplicity first, has no humidity problem, and won't pay for maintenance, the Carrier wins: the low stage already runs gently, you get five years of labor coverage with nothing to keep up, and the $2,352 mostly buys visits you wouldn't use. The flip is specific: if you'd genuinely pay for about 12 to 15 of the 16 visits — roughly three checkups every two years — the Lennox costs about the same or less, and its extra years-6-to-10 labor coverage comes along with it. (The models split on the exact number inside that range; it depends where your tune-up price and run-hours land.)
Five things to pull before you sign, because they can move this:
If you'd skip the maintenance and your summers are comfortable, the Carrier is the lower-cost, simpler buy and the low stage covers you. If you'd keep up the visits anyway, or you want the steadiest possible cooling and the longer labor coverage, the Lennox earns its $2,352. Either way, the "18 vs. 16.5" number on the brochure isn't the thing to decide on.
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