(set-logic QF_LRA)
(set-info :status unsat)
(declare-fun a () Real)
(declare-fun b () Real)
(declare-fun p1 () Bool)
(declare-fun p2 () Bool)

(assert (<= a b))
(assert (= p1 (>= a 1)))
(assert (= p2 (<= b (/ 1 2))))
(check-sat-assuming (p1 p2))
(exit)