Gurobi 5.0.1 (linux64) logging started Mon Nov 19 06:53:56 2012 Optimize a model with 3207 rows, 113 columns and 6414 nonzeros Presolve removed 2342 rows and 0 columns Presolve time: 0.10s Presolved: 865 rows, 113 columns, 6015 nonzeros Variable types: 0 continuous, 113 integer (113 binary) Found heuristic solution: objective 7.0000000 Root relaxation: objective 1.506131e+01, 421 iterations, 0.02 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 15.06131 0 106 7.00000 15.06131 115% - 0s H 0 0 8.0000000 15.06131 88.3% - 0s 0 0 14.66468 0 112 8.00000 14.66468 83.3% - 0s 0 0 14.59910 0 112 8.00000 14.59910 82.5% - 0s 0 0 14.52596 0 111 8.00000 14.52596 81.6% - 0s 0 0 14.49197 0 112 8.00000 14.49197 81.1% - 0s 0 0 14.44795 0 112 8.00000 14.44795 80.6% - 0s 0 0 14.43741 0 112 8.00000 14.43741 80.5% - 0s 0 0 14.43126 0 112 8.00000 14.43126 80.4% - 1s 0 0 14.42858 0 112 8.00000 14.42858 80.4% - 1s H 0 0 9.0000000 14.42858 60.3% - 1s 0 0 14.42780 0 112 9.00000 14.42780 60.3% - 1s 0 0 14.42743 0 112 9.00000 14.42743 60.3% - 1s 0 0 14.42723 0 112 9.00000 14.42723 60.3% - 1s 0 2 14.42483 0 112 9.00000 14.42483 60.3% - 1s Cutting planes: Clique: 107 Explored 358 nodes (20944 simplex iterations) in 3.19 seconds Thread count was 1 (of 16 available processors) Optimal solution found (tolerance 1.00e-04) Best objective 9.000000000000e+00, best bound 9.000000000000e+00, gap 0.0%