Theoretical Result
A 6.36σ universal separability signal exists across the SAT phase transition — a previously undescribed structural property of random k-SAT, validated n=15 to n=500 on random 3-SAT · SATLIB benchmarks n=50–100. This signal partitions instances without solver invocation, enabling 57% solver call reduction on hard phase-transition instances.
Parks SAT Framework (PTSF) · Alika M. Parks · Kalaheo, Hawaii · 2026
— instances classified globally
Tier 1 · Classifier
57% coverage
<10ms · polynomial
99.9% accurate
No search required
Tier 2 · VIG-CDCL Solver
43% of instances
3.9x vs Kissat (mean)
100% correct
n=20–100 validated
Classifier runs first — always. If signal resolves the instance, solver is never invoked.
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