ないではおかない / ずにはおかない

1. 1Will definitely do something; expresses a strong determination not to let a matter pass.Ex. 1
2. 2Something inevitably causes a feeling or reaction in people, typically used with a causative verb.
3. 3In the older variant ずにはおかれない, means 'cannot help doing', close to ずにはいられない.Ex. 2

A formal, written-style pattern found in essays, reviews, and narration. It conveys either resolute intent or the unavoidable effect of something on people. Unlike patterns expressing obligation or reluctant necessity, it stresses inevitability or determination.

• ないではすまない / ずにはすまないN1「ずにはすまない」means that by common sense or circumstances one could not get away with not doing something — an obligation imposed from outside. It does not express the speaker's resolve, nor the sense of 'is sure to make someone...', so it cannot be swapped with 「ずにはおかない」.
• ずにはいられないN3「ずにはいられない」means one cannot hold back and inevitably does something; the subject is usually the speaker, and the register is neutral. The base form 「ずにはおかない」 lacks this meaning; only the variant 「ずにはおかれない」 is close to it, and that variant is more literary.
• 〜ないわけにはいかないN1「ないわけにはいかない」means one 'cannot help but do' something out of social obligation or circumstances, with a sense of reluctance, in a neutral register. When 「ずにはおかない」 expresses volition it is a written-style, active expression of resolve, and it also has the meaning 'is sure to make someone...'; the two should not be interchanged.
• ざるを得ないN2「ざるを得ない」means one is forced by circumstances to do something, often with a sense of reluctance. 「ずにはおかない」 expresses strong resolve or an inevitable reaction, and 「ずにはおかれない」 expresses being unable to hold back — none of these involves being forced, so they cannot be interchanged. All three are literary in tone.
• てやまないN3「てやまない」attaches to the て-form and expresses a deeply held, continuing feeling or wish, as in 「願ってやまない」. It does not express resolve or an inevitable effect on others, and it differs from the momentary loss of self-control of 「ずにはおかれない」, so it cannot be interchanged.

ないではすまない and ないわけにはいかない express obligation imposed by circumstances or social norms, and ざるを得ない expresses reluctant necessity, whereas ずにはおかない expresses firm resolve or an inevitable effect. ずにはいられない describes an involuntary personal urge, and てやまない describes a lasting heartfelt wish or feeling.