| SAT Classification Engine
TiXiE Tech

Benchmark status · measured October 2026

Structural · no search · Schur_161_5_d38
580ms
answered without invoking a solver
Engine
UNSAT · 580 ms
Kissat 4.0.4
no answer in 120 s
CaDiCaL 3.0.1
no answer in 300 s
Ground truth: published theorem — S(5) = 160, so 161 is impossible (Heule, AAAI 2018). The engine returns this verdict without complete search.
SC2024 · Kissat has no answer
11instances

SAT Competition 2024 instances answered correctly that Kissat 4.0.4 cannot resolve in 10 s.

mutilated chessboard ×3 · 34–40 ms
pcmax scheduling ×2 · 90 ms, 217 ms
clique-colouring ×6 · 176–444 ms
Random 3-SAT · SATLIB sizes
120/ 120

Correct at SATLIB sizes (n=50, n=100) — no wrong answers, none unresolved. Outside that verified size range the engine defers to complete search rather than committing: at n=150–200, 15 of 16 unsatisfiable instances resolved correctly, one returned no answer.

Structured UNSAT families
9/ 9

Every tested instance whose unsatisfiability follows from its construction, returned without search.

Solver vs Kissat 4.0.4
7.5× faster

Geometric mean across 16 random 3-SAT instances at n=75–100, every verdict in agreement.

78%precision

On all 145 labelled SC2024 instances: 50 commitments, 39 correct — 78% precision. Forty-eight of those commitments were made without complete search and are labelled heuristic; the other two were decided by complete search or by a satisfying assignment checked against every clause, and are labelled proved.

⚠ Known limit
correct39
wrong11

The no-search path returns UNSAT on some dense satisfiable instances. Of 50 SC2024 commitments, 11 are wrong. Ten are satisfiable instances reported as UNSAT — six of those from generators that plant a solution by construction. One is the reverse: an unsatisfiable instance reported as SAT. Kissat 4.0.4 resolved 4 instances the engine left unresolved.

Verdicts from that path are labelled heuristic; everything decided by complete search or backed by a checked assignment is labelled proved.

Reading a result — proved: decided by complete search, or a satisfying assignment was found and checked against every clause. heuristic: committed without search; see the known limit above. Nothing is reported as certain unless it is checkable.
Set — 145 SC2024 labelled instances; ground truth from the published competition results (backend/sc2024_ground_truth.json). Head-to-head timings against Kissat 4.0.4, minimum of five runs per instance. Figures stated at the scope they were measured.
Reproduce — regression suite, per-instance results and the head-to-head harness are in the project repository.
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