[Impossible]

PS4 does not use OpenGL as it's graphics API, and doesn't even support PSGL (the higher level, OpenGL ES 1.1 like library that PS3 supported.) This is a rumor that's going to persist for the lifetime of the system.

That said most indies are moving to using Unity 3D, so as long as Unity support for PS4 is good and licensing costs aren't too high, the low level graphics API of PS4 won't matter.

[pjmlp]

Open source geeks like to spread the myth that Microsoft consoles are the only ones not supporting OpenGL.

Given that the games industry is very hostile to open source and very few geeks have access to console development kits, it is no wonder the myth persists.