Findings

Representative outputs and core diagnostics from ProofX engines.

CollatzX Trajectory

Most starting values collapse quickly, but rare outliers stretch sequence lengths. The red point marks the maximum observed length; reproducibility demonstrates the engine's anomaly-detection rigor.

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CollatzX trajectory: sequence length vs. starting value (log scale); red point marks the maximum.
Caption: Fig. 1 — CollatzX trajectory visualization (log-scaled x-axis). Reproducible output with labeled outlier.

Finding 2

Brief note about what this visual demonstrates.

Finding 2 visualization
Fig. 2 — Short caption.