For UNSAT problems with 10 variables and 200 clauses, it always claimed that the formula is SAT and made up assignments (See this example).
The algorithm walks the tree recursively. At each node, it checks: does this node's bounding box overlap with the query rectangle? If not, the entire subtree gets pruned (skipped). If it does overlap, it tests the node's points against the query and recurses into the children.
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if (n <= 1) return;
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