Another 2-clause BSD or a mistake?

[David da Silva Polverari <polverari@debian.org>]

Hello,

In the midst of performing QA work on unworkable [1], I found the buf.c
file with the following copyright notice on its header:

-- >8 --
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:

1. Redistributions of source code must retain the above copyright
   notice, this list of conditions and the following disclaimer.
2. The name of the author may not be used to endorse or promote products
   derived from this software without specific prior written permission.
-- >8 --

This is not the BSD 2-clause variant, as it includes the non-endorsement
clause from the 3-clause one, and excludes the actual second clause.
Does anyone know if that is actually a BSD variant, and if so, what its
name is? If it is not a BSD variant, how should it be dealt with/named?

[1] https://tracker.debian.org/pkg/unworkable

Regards,

David