(set-logic NRA)
(assert
 (exists ((a Real))
  (forall ((b Real))
   (exists ((c Real))
    (and
     (< (+ a (* 2 c)) 0)
     (or (not (= a 0)) (< b 0))
     (not (= (+ b c) 0))
     (> c 0)
     )
    )
   )
  )
 )
(check-sat)   

$ timeout -s 9 120 z3 test.smt2
Killed