In your feature tree you will see both solid bodies listed. Click,(highlight) the body you want to export. Now you can simply save this highlighted body out as a,X_T (parasolid) file. We call these dummy solids here where I work. Then open the file and save it in any format you choose. There will be a box that opens telling you that there are objects that are not selected, just ignore this message.
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i think you can just use delete/keep Body feature exist in direct editing tab to delete the bodies you don't want to save,
this feature will exist in the tree you can suppress it later on to get the the bodies back.