U_{kl}^{AB} + \sum_{i=1}^{N} \min_{X} \left(E_{ki}(r_{k}^{A}, r_{i}^{X}) + E_{lj}(r_{l}^{B}, r_{j}^{X})\right) > U_{kl}^{CD} + \sum_{i=1}^{N} \max_{X} \left(E_{ki}(r_{k}^{C}, r_{i}^{X}) + E_{lj}(r_{l}^{D}, r_{j}^{X})\right)
