You are actually looking at the total energy for one of the HF monomer calculations included in the BSSE correction procedure.
As stated in the NWChem manual, there are 2N + 1 energy calculations involved in the correction procedure for a system of N monomers. In this case of the HF dimer that means 5 calculations total, and if you search the output for "Total DFT Energy" you will indeed see 5 matching lines. There is one calculation for the dimer, another calculation for the first monomer without ghost atoms, another calculation for the first monomer with ghost atoms, another calculation for the second monomer without ghost atoms, and finally a calculation for the second monomer with ghost atoms.
To find the actual BSSE-corrected dimer system energy look for the line starting "Corrected energy" near the end of the file.
None of the aforementioned energies are supposed to represent the strength of the hydrogen bond in the HF dimer. They all represent system energies in Hartree, where the starting point is separation of nuclei and all electrons in the system by infinite distance. Of course these energies are enormous compared to ordinary chemical reactions; no chemist starts his bench work with a cylinder of bare fluorine nuclei! To translate these absolute system energies to quantities of interest to chemists you need to calculate
differences of absolute energies in related systems. Here, to estimate the hydrogen bond strength, you would want to take the difference in calculated energies between the HF dimer system and the sum of the two HF monomer systems in isolation. This very small residual is the energy that can be considered as hydrogen bonding. Especially with weak bonds like hydrogen bonds the basis set superposition error can be significant compared to the quantity of interest (here, the HF dimer hydrogen bond strength).
This example calculation from the manual produces the information necessary to estimate the hydrogen bond strength in HF dimer, including corrections for BSSE that could skew the result, but you must do the arithmetic of system sums and differences yourself.
Here is a detailed description of the BSSE correction, cited in the section of the NWChem manual you linked to:
http://www.researchgate.net/publication/234965987_How_does_basis_set_superposition_error_c...