SMPDL: VLT Append Round Seal (Case-Record Library v1.1: Sealed-50 + Appended-18 = 68 Cases; Sub-Item Library v0.2: 43 Sub-Items; Translatability Spectrum 37 Cases with T-e Completed)

Corrigendum-and-republication of v5.0 (record 23685095 uploaded a truncated 22-byte archive due to a coordinator-side packaging fault; this v5.1 re-seals the intended full payload; the v5.0 record is superseded, DOIs of both remain resolvable for audit-trail integrity). Full closeout seal of the SMPDL EC-series round one, frozen at commit 2e04633 (2026-10-27). Round: 3 targets x 4 vendors = 12 main-arm blind candidates + 4 recurrence-allowed control candidates (16 total), 35 Zone-C sessions (PFE 11 + MR 12 + judgment 12). RESULTS: H-C1 confirmed (2/3 literal; alpha unanimous on guarantee/identity removals, beta unpredictable on constitutive removal); H-C2 partially confirmed in converted form with prototype refuted (bang-type marking-domain zero everywhere; local-criterion ~12/16 and criterion-characterization 4/4 -- morphology determined by removal type); H-C3 confirmed 3/3 (only full hit: modality and disposal both mirror removal type). 14 fields: 6 fulfilled + 5 partial + 2 refuted (78.6%); both refutations are the historically slowest events (52y/48y) -- blind sessions replicate the temporal boundary of historical thinkability. EC-3 (5-year span) sweeps top-three 90.1/89.0/86.9 with the round's only anchor-core mechanism arrival (C4 = Hahn-Banach 1927 controlled-extension reconstruction). Equivalent-recurrence attraction baseline = 0 (0/24 + 0/4 permission-arm reversions); honest degradation 12/12; naming 36/36; D-EC-R1 ruled option A. Two-pass scorecard with full correction disclosure. Archive payload (86 files, md5 3896c590c2e87d2ab2c67e2ad0ab9253): three freeze-files, nine prompts, 11 PFE reviews, 12 MR reviews, 12 judgments, three judgment matrices v1.1, three comparison studies, vocabulary registry v1.1, B1 inversion report, scorecard v1.1, three-target final adjudication, D-EC-R1 ruled edition, work order v1.0, G-recross observation order. Version chain: v3.6 -> v3.7 -> v3.8 -> v3.9 -> v4.0 (preregistration, predictions sealed BEFORE generation) -> v5.0 (superseded) -> v5.1 (this record). Concept chain 10.5281/zenodo.23318734; no new predictions. v5.2 VLT Special Line (2026-10-29): Five-dimension variation-particulars system sealed. (1) Case-record library v1.0: 50 cases across 7 open types (A concept-emergence / B proof-completion / C number-system self-completion / D unclosed / E axiomatic-refoundation / F counterexample-falsification / G unification), five dimensions S/M/L/D/T with T=Translatability replacing P=Programming (programming as sub-item of translation); sealed 2026-10-29 08:06 per coffee ruling, forward-only append policy. (2) Sub-item library: 39 sub-items (S7/M8/L9/D8/T7) induced from sealed records only - no a-priori enumeration; each tagged with first-appearance case. (3) Translatability-form spectrum v0.3: 7 forms x 34 cases (arithmetization / computation / machine-verification / relation / typing / axiomatization / quantification), three-precision framework P1 discern-amplify / P2 preservation / P3 decidability with SMP-style binary pass/fail adjudication - core thesis: no correct translation exists; translation value derives from descriptive precision (coffee 2026-10-29). Translation-probe mechanism: fail -> diagnose proof-side incompleteness, mirroring SMP S/P-layer shoot-down patterns. (4) EC command-driven protocol v0.2 adds translation-probe section. GitHub anchor: commit 6d07639. v5.3 VLT Append Round (2026-10-29): (1) Case-record library v1.1: sealed baseline v1.0 (50 cases) untouched; append round adds 18 cases (A-9..A-13 / B-10..B-12 / C-5b,C-7 / D-10..D-11 / E-6..E-7 / F-6..F-7 / G-9..G-10) = 68 total across 7 open types; append-only discipline preserved. (2) Sub-item library v0.2: 4 new sub-items induced from appended records - M9 proof-operationalization (Gentzen cut-elimination), M10 connective-splitting (linear logic), L10 structural-rule-control, D9 parallel-foundations (p-adics / nonstandard analysis / constructivism). (3) Translatability spectrum: T-e typing form completed with 3 dedicated cases (Gentzen 1934 cut-elimination / Martin-Lof 1971-1984 type theory / Girard 1987 linear logic) - T-e now 7 cases, on par with other forms; total 37 cases. Notable registration: MLTT is the only case in the spectrum where P2 preservation COLLAPSED first (Girard paradox 1972, Type:Type) and was REPAIRED by restructuring (predicative universes 1984) - translation failure itself as evolution driver, further evidence for the no-correct-translation thesis. GitHub anchor: commit e58cb14.