INFp: Gwyneth Paltrow in "Proof"
ESTj: Claire (the sister) in "Proof"
I thought INTp-ESFj. Certainly Conflict, at any rate. Reminds me of my brother and sister.
As I recall, her sister was constantly pressuring her to go out and be more social - Fe-type stuff.
Her sister kept a detailed list of everything she had to do. She took the role of selling the house and taking gwyneth's character with her - there was no Fe there. Gwyneth also had lack of confidence in her logical ability - as did EVERYONE else, thus they doubted her ability to be a genius. INTps generally earn respect for they intellect, especially from those near to them, from an early age. Her sister was definitely Sensory subtype while she was intuitive subtype. Fe-type stuff is more like causing an emotional scene and/or emotionally consoling others, her sister did not have that ability. By "go out" she meant "let's go buy clothes and you'll be happy!" Fe is my second function so I'm confident in noticing it