Antimagic Field states: "Certain spells, such as wall of force, prismatic sphere, and prismatic wall, remain unaffected by antimagic field (see the individual spell descriptions)." IMO, the key word is "remain." For they to remain unaffected, they must be cast before the AMF is brought to them. If that occurs, then the AMF will not pass through the wall of force.
Wall of Force states: "The wall cannot move, it is immune to damage of all kinds, and it is unaffected by most spells, including dispel magic." In this line, it's clear that we're talking about how to destroy a wall of force. Thus, an AMF cannot destroy/dispel a wall of force.
However, IMO the real question is whether an AMF breaks line of effect. Can you erect a wall of force inside an AMF? There's no definitive rule on this either way, but I say it does break line of effect. Consider that if it doesn't break line of effect then there will be some other weird possibilities (such as summoning a creature into it just to have it wink out, or worse, creating a wall of stone within it).