No Fifth Route: X₀ Searched at Every Rest the Record Prints — and the Band Is Twice the Drop

Works the coupling residue of item D-202-219-61 (paper #216's Tolman entropy chain) at its post-#550 shape -- the joined law's invariant factored, its coupling term's starting value X0 = 0.5 unprovenanced on four priced routes, the datum's leverage computed as a predicted-floor band of 0.010756 over X0 in [0, 1] -- and attacks it two ways, both computed, reporting an honest non-closure at INCREMENTAL grade with the residue standing at a smaller size. Gated first on paper #550's exhibits digit-for-digit (invariant 172.880000, predicted floor 18.994623, orbit floor 18.994627, the factoring 172.980000 - 0.100000, the attractor point 19.000000, the present coupling 2.321875, the leverage table, the orbit run from (19, 1.0)). Attack one, a fifth-route census over the whole printed record, excludes every distinguished value of the coupling coordinate by name in five species: the full-flow rest line (rests only at X = 0; its orbit at the pinned present is frozen, rise-sum 0.000000 against 0.000283, its invariant 172.980000 against the printed 172.880000), step-equation symmetry (no nonzero value fixed; the defect from oddness is exactly -0.4 x^6; the invariant's X0-derivative is the constant -0.2) and the step fold (predecessor 3.597642, successor 436.047, a branch-gap object, the step at the present predecessor 0.240690 being locally monotone at derivative 4.2316), attractor and limit coordinates (all 0 or absent; the evasion orbit's own X falls through 0.000733 / 0.000519 / 0.000367 at steps 50,000 / 100,000 / 200,000), the named-state degeneracy (the coupling vanishes for every X and selects none), and printed transients (0.2061; 0.000138 / 0.001744) with the constant coincidence Q = 0.5 (the other leg's source constant, a species mismatch). Attack two, a discharge test, finds the band NOT discharged at any precision the parents print for the floor: 2,689 times the predicted-versus-orbit split 0.000004, 107.56 times the gate tolerance 0.0001, and 2.0003 times the exhibit's own predicted drop 0.005377; the headline output's rounding (0.43 percent against the band's 0.0566 percent) is considered and rejected as a standard on species grounds. The attractor gap and the branch gap stand at their printed sizes, untouched. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.