{
  "check": "impossibility_filing_12_13",
  "dos_trichotomy": {
    "all_three_jointly_unsat": true,
    "available": true,
    "claim": "{unbounded admission, bounded memory, no gate} jointly impossible; any two achievable; a bounded gate/quota is FORCED (cross-session corollary of LAW 1).",
    "gate_forced_by_U_and_M": true,
    "ok": true,
    "pair_M_noG_bounded": true,
    "pair_UM_needs_gate": true,
    "pair_U_noG_unbounded": true,
    "z3_version": "4.15.4"
  },
  "honest_scope": "#12 relative to the N-session global-budget model; #13 relative to the modeled confirm space + EUF-CMA; uniqueness stated within the modeled space; no legal/essentiality conclusion.",
  "ok": true,
  "tier": "Tier-3 model-relative impossibilities (both)",
  "transcript_uniqueness": {
    "available": true,
    "grounding": "06_formal_models/easycrypt/TranscriptForge.ec \u2014 naive (root-independent) confirm admits a substituted-transcript acceptance (naive_forgery_is_free); the bound confirm reduces to EUF-CMA (subst_reduces_to_euf_cma) and achieves injective partnering (injective_partnering).",
    "ok": true,
    "teeth": "the non-binding (root-independent) variant fails the necessity \u2014 committed as the TranscriptForge kill-matrix drop-context-binding mutant (Sprint 134).",
    "tier": "Tier-3 model-relative (modeled construction space + EUF-CMA); no legal conclusion.",
    "unique_construction": "transcript-root-bound confirmation (folds the transcript root + partner identities into the confirmation MAC)",
    "uniqueness_scope": "WITHIN the modeled confirm-construction space + EUF-CMA: a confirm not folding the root fails injective agreement, so the root-binding is the modeled space's single injective-agreement point. NOT a global uniqueness claim."
  },
  "verdict": "real"
}