#!/bin/bash
s='A ((!(A1+A2)))
B (A1A2)
C (A1+A2)
D (!(A1+A2)B1)
E (!A1+!A2)
F (!(!A1!A2)+A3+A4)
G ((A1!A2)B1)'
awk '$2 ~ /!\</' <<< "$s"
IyEvYmluL2Jhc2gKcz0nQSAgKCghKEExK0EyKSkpCkIgIChBMUEyKQpDICAoQTErQTIpCkQgICghKEExK0EyKUIxKQpFICAoIUExKyFBMikKRiAgKCEoIUExIUEyKStBMytBNCkKRyAgKChBMSFBMilCMSknCmF3ayAnJDIgfiAvIVw8LycgPDw8ICIkcyI=