If it helps, here is the Cplex log for a problem instance.
CPXPARAM_Simplex_Tolerances_Optimality 1.0000000000000001e-09
CPXPARAM_Read_APIEncoding "UTF8"
CPXPARAM_MIP_Interval 10
CPXPARAM_MIP_Strategy_VariableSelect 1
Found incumbent of value 339.000000 after 0.01 sec. (0.24 ticks)
Tried aggregator 3 times.
MIP Presolve eliminated 3 rows and 18 columns.
MIP Presolve modified 1726 coefficients.
Aggregator did 17 substitutions.
Reduced MIP has 320 rows, 5289 columns, and 17880 nonzeros.
Reduced MIP has 5289 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.06 sec. (37.17 ticks)
Tried aggregator 1 time.
Reduced MIP has 320 rows, 5289 columns, and 17880 nonzeros.
Reduced MIP has 5289 binaries, 0 generals, 0 SOSs, and 0 indicators.
Presolve time = 0.02 sec. (11.80 ticks)
Probing time = 0.03 sec. (3.76 ticks)
Clique table members: 335.
MIP emphasis: balance optimality and feasibility.
MIP search method: dynamic search.
Parallel mode: deterministic, using up to 4 threads.
Root relaxation solution time = 0.07 sec. (45.35 ticks)
Nodes Cuts/
Node Left Objective IInf Best Integer Best Bound ItCnt Gap
* 0+ 0 339.0000 14.0000 95.87%
* 0+ 0 329.0000 14.0000 95.74%
* 0+ 0 143.0000 14.0000 90.21%
0 0 115.2587 151 143.0000 115.2587 842 19.40%
0 0 116.2790 198 143.0000 Cuts: 87 1024 18.69%
0 0 116.4667 200 143.0000 Cuts: 33 1134 18.55%
* 0+ 0 120.0000 116.4667 2.94%
0 0 116.5124 191 120.0000 Cuts: 38 1240 2.91%
0 0 116.5436 167 120.0000 Cuts: 25 1331 2.88%
0 0 116.5844 136 120.0000 Cuts: 22 1436 2.85%
0 0 116.5951 233 120.0000 Cuts: 14 1516 2.84%
0 0 116.6005 247 120.0000 Cuts: 18 1589 2.83%
0 0 116.6031 240 120.0000 Cuts: 9 1612 2.83%
* 0+ 0 119.0000 116.6031 2.01%
* 0+ 0 118.0000 116.6031 1.18%
* 0+ 0 117.0000 116.6031 0.34%
0 0 cutoff 117.0000 116.6031 1612 0.34%
Elapsed time = 2.07 sec. (715.08 ticks, tree = 0.01 MB, solutions = 6)
Clique cuts applied: 53
Zero-half cuts applied: 45
Gomory fractional cuts applied: 10
Root node processing (before b&c):
Real time = 2.08 sec. (715.58 ticks)
Parallel b&c, 4 threads:
Real time = 0.00 sec. (0.00 ticks)
Sync time (average) = 0.00 sec.
Wait time (average) = 0.00 sec.
------------
Total (root+branch&cut) = 2.08 sec. (715.58 ticks)
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