NO
Nontermination proof succeeded
Found this recurrent set for cutpoint 10: 2 <= x_post and x_post <= 2 and 2 <= xp_0 and 2 <= xp_post and x_post-xp_0 <= 0 and 4 <= x_post+xp_0 and x_post-xp_post <= 0 and 4 <= x_post+xp_post and xp_post-xp_0 <= 0 and xp_0-xp_post <= 0 and 4 <= xp_post+xp_0 and -xp_0+2 <= 0
Errors: