Figure 1: For r = 0.3, both the CHSH inequality and Vértesi’s inequality fail to detect the non-locality of 
for the whole parameter region of p.
for the whole parameter region of p.From: Maximal violation of Bell inequalities under local filtering
After local filtering, non-locality is detected for 0.6291 ≤ p ≤ 0.7 (by Theorem 2) and 0.6164 ≤ p ≤ 0.7 (by Theorem 1) respectively.
