Both Hemispheres

Both Hemispheres: AI logic and statistics services

Paid APIs and research tooling

Choose between machine reasoning and language reasoning.

Both Hemispheres offers two sellable services on the same account balance: a scalable SAT solving workflow for DIMACS CNF files and an OpenAI-compatible LLM API running on owned GPUs.

Logic

Scalable SAT Solver

Upload DIMACS CNF files up to 100 MB, run them in a single solver thread for up to one hour, and pay only if a SAT assignment is found and you want to view or download it.

Open SAT service

Language

Large Language Model as a service

Use the current OpenAI-compatible LLM endpoint with prepaid credits, model catalog visibility, and a browser-based chat playground.

Open LLM service

Proof

Theorem proving demo

Enter assumptions and a goal in free text, let the hosted LLM translate them to SMT-LIB, solve them with Bitwuzla on the worker, and read back a school-book style proof.

Open theorem demo

Account

Signup, session, and credits

No stored session yet.

Balance $0.00
Total paid $0.00
Total spend $0.00

Use the same prepaid balance for SAT unlocks and LLM API usage.

Create or import an API key to load the customer account.

Service 1

Scalable SAT Solver

Upload a DIMACS CNF file, run it with a one-hour limit on a single solver thread, and pay $10 only when a SAT solution exists and you want the variable assignment.

SAT jobs

Idle

Selected job

None
No SAT job selected.

Service 2

Large Language Model as a service

Use the existing OpenAI-compatible chat API with prepaid credits on the same account.

Remaining credit $0.00
Rate limit 0 / 0
Status Idle
No completion yet.

Service 3

Theorem proving demo

Describe assumptions and a goal in free text. The system uses the hosted LLM to draft SMT-LIB, runs Bitwuzla with CryptoMiniSat on the worker, and renders the resulting proof as readable markdown.

Status Idle
Solver backend None
Remaining credit $0.00

Rendered proof

No result

No theorem proof yet.

Run details

No theorem run yet.

Infrastructure

Current public offer

Online GPUs 10
Remote revenue GPUs 7
Planned GPUs 8