GOD'S WORD® Translation
The case between them must be settled by swearing an oath to the LORD that the neighbor did not take the other person's animal. The owner must accept the oath. The neighbor doesn't have to make up for the loss.

American Standard Version
the oath of Jehovah shall be between them both, whether he hath not put his hand unto his neighbor's goods; and the owner thereof shall accept it, and he shall not make restitution.

Berean Study Bible
an oath before the LORD shall be made between the parties to determine whether or not the man has taken his neighbor’s property. The owner must accept the oath and require no restitution.

Douay-Rheims Bible
There shall be an oath between them, that he did not put forth his hand to his neighbour's goods: and the owner shall accept of the oath; and he shall not be compelled to make restitution.

English Revised Version
the oath of the LORD shall be between them both, whether he hath not put his hand unto his neighbour's goods; and the owner thereof shall accept it, and he shall not make restitution.

King James Bible
Then shall an oath of the LORD be between them both, that he hath not put his hand unto his neighbour's goods; and the owner of it shall accept thereof, and he shall not make it good.

World English Bible
the oath of Yahweh shall be between them both, whether he hasn't put his hand to his neighbor's goods; and its owner shall accept it, and he shall not make restitution.

Young's Literal Translation
an oath of Jehovah is between them both, that he hath not put forth his hand against the work of his neighbour, and its owner hath accepted, and he doth not repay;

Exodus 22:11 Additional Translations ...