[fg566asd]

This was the bill that Cruz and Rand voted on.

http://www.senate.gov/legislative/LIS/roll_call_lists/roll_call_vote_cfm.cfm?congress=114&session=1&vote=00323

The bill was introduced by rand.

https://www.congress.gov/bill/114th-congress/senate-bill/2329/actions?q=%7B%22search%22%3A%5B%22%5C%22s2329%5C%22%22%5D%7D&resultIndex=1

Rand brought the subject up before cruz did:

https://www.washingtonpost.com/news/post-politics/wp/2015/11/16/rand-paul-introduces-bill-to-bar-refugees-from-syria-subject-french-citizens-to-waiting-period/

[Lucky9teen]

Even the links you provided, show Cruz actually was on it before Rand.

H.R.3762 — Restoring Americans’ Healthcare Freedom Reconciliation Act of 2015
Sponsor: Sen. Paul, Rand [R-KY] (Submitted 12/03/2015, Proposed 12/03/2015)

S.2329 — 114th Congress (2015-2016)
SECURE Act
Sponsor: Sen. Paul, Rand [R-KY] (Introduced 11/19/2015)

S.2302 — 114th Congress (2015-2016)
Terrorist Refugee Infiltration Prevention Act of 2015
Sponsor: Sen. Cruz, Ted [R-TX] (Introduced 11/18/2015)
(Paul Amdt. No. 2899 ) Sen. Paul, Rand [R-KY] (Introduced 11/19/2015)