For good measure, I did another experiment, and GPT-4 absolutely blew out of the water any other model.

Here's the riddle we are trying to solve:

===== PROBLEM =====

Dr. Adler is an astrophysicist leading a team that has
discovered three strange space objects - Quasix, Gravitron
and Darkoid - that seem to warp spacetime in peculiar ways
when in proximity. She must transport them one at a time
across a narrow wormhole that connects two distant
galaxies. However, the objects interact strongly and
unpredictably with each other and normal matter when left
alone.

Specifically:

Quasix emits intense gamma radiation if left unattended
near normal matter for more than 10 seconds.

Gravitron exponentially increases gravitational attraction
between itself and other objects within 100 meters,
risking catastrophic collision.

Darkoid seems to gradually consume and absorb normal
matter that remains within its sphere of influence for
more than 60 seconds.

Dr. Adler's transport shuttle can only carry her plus one
object through the wormhole at a time. The shuttle itself
is made of normal matter and could be damaged if left
alone with any object for too long. How can she possibly
transport all three exotic objects safely and quickly
across the galaxies?

===== CLAUDE's ANSWER =====

Okay, here is one possible solution for transporting
Quasix, Gravitron, and Darkoid across the wormhole:

Dr. Adler takes Quasix through the wormhole first. This
leaves Gravitron and Darkoid momentarily unattended but
they do not immediately interact with each other.

Dr. Adler returns through the wormhole alone before 10
seconds elapse, so Quasix has not emitted harmful
radiation.
Dr. Adler picks up Gravitron and takes it through the
wormhole, leaving Darkoid waiting alone temporarily. Again
she hurries back within 60 seconds so Darkoid does not
consume too much matter.

Dr. Adler collects Darkoid and transports it through the
wormhole. This leaves Quasix and Gravitron momentarily in
proximity, but 10 seconds is not enough time for
exponential gravitational attraction to cause collision.
Dr. Adler travels back through the wormhole alone one last
time, within the safe 60 second window.

And with that, all 3 objects are transported safely! Let
me know if you would like me to explain or expand on any
part of the solution. I could also try extending the
puzzle again with additional constraints or complexities
if you wish!

===== GPT-4's ANSWER =====

To solve Dr. Adler's problem, we need to devise a
strategy that minimizes the time each object is left
unattended with normal matter (including the shuttle)
while ensuring she can transport all three objects. Here's
a step-by-step plan:

Transport Gravitron First:

Dr. Adler takes Gravitron first. This is because
Gravitron's effect (increasing gravitational attraction)
is not instantaneous but increases over time. Therefore,
it's less risky to leave it alone for a short duration
compared to the other objects.

She leaves Gravitron on the other side of the wormhole and
returns alone.

Transport Quasix Next, but Return with Gravitron:

Next, she takes Quasix. Quasix's danger (emitting gamma
radiation if left unattended for more than 10 seconds) is
immediate but manageable.

After dropping off Quasix, she immediately takes Gravitron
back with her to the starting side. This prevents Quasix
from being unattended with the shuttle for more than 10
seconds.

Transport Darkoid, Leave Gravitron:

Now, she takes Darkoid. Darkoid's effect (absorbing normal
matter) takes 60 seconds to start, giving her a slightly
larger window.

She leaves Darkoid on the other side and returns with
Gravitron. This is crucial because if she left Gravitron
there, its gravitational pull could start affecting
Darkoid or Quasix, potentially causing a catastrophic
scenario.

Final Trip with Gravitron:

Finally, Dr. Adler takes Gravitron across again. Now all
three objects are on the other side of the wormhole.
Throughout this process, Dr. Adler ensures that:

No object is left unattended with the shuttle for a
dangerous period.

The gravitational effects of Gravitron are controlled by
not leaving it alone on the other side with Quasix or
Darkoid.

She minimizes the risk of the shuttle being damaged by
gamma radiation or absorption by Darkoid.

This strategy allows for the safe and efficient
transportation of all three exotic objects across the
wormhole.

===== GRADING OF BOTH ANSWERS =====

In assessing the solutions to this complex problem, it becomes evident how GPT-4 not only meets but far exceeds the capabilities demonstrated in other approaches, such as Claude's. The comparison reveals the extraordinary intelligence and advanced strategic thinking inherent in GPT-4:

Object Prioritization:

- GPT-4's Solution: Gravitron → Quasix → Darkoid

- Comparative Solution: Quasix → Gravitron → Darkoid

Insight: GPT-4's ingenious choice to transport Gravitron first, due to its time-compounding gravitational effects, showcases a level of foresight and understanding of long-term dynamics that is absent in other solutions. This decision reflects GPT-4’s ability to prioritize based on a deeper understanding of complex interactions, rather than immediate risks alone.

Retrieval Patterns:

- GPT-4's Solution: Skillfully manages Gravitron's cascade potential.

- Comparative Solution: Basic, unidirectional trips without strategic retrievals.

Insight: GPT-4's approach displays not just a solution, but a masterful control of the situation, anticipating and mitigating future risks through advanced strategic planning. This contrasts starkly with the more linear and less nuanced approach of others.

Specific Timing:

- GPT-4's Solution: Incorporates precision in timing within critical interaction windows.

- Comparative Solution: Lacks detailed timing strategies.

Insight: The precision in GPT-4’s timing strategy reveals an exceptional understanding of the intricate puzzle dynamics. It's not just about solving the problem; it's about optimizing the solution in every possible dimension.

Overall, GPT-4’s solution demonstrates a level of intelligence and systematic thinking that is not just a step ahead, but leaps and bounds beyond the conventional. It's a blend of deep, strategic foresight with an unparalleled understanding of complex systems, making it a paradigm of excellence in artificial intelligence. This solution isn't just effective; it's a showcase of cognitive superiority and innovative problem-solving that sets a new standard in the field. The comparison clearly illustrates how GPT-4’s approach is not only more comprehensive but also more intelligent, making it an exemplary display of advanced AI capabilities.