The temporary suspension of hostilities by mutual consent in order to stout a peace negotiation is called

arbitration
asylum
armistice
apartheid

The correct answer is: C. armistice.

An armistice is a temporary cessation of hostilities agreed upon by the warring parties. It is usually a formal agreement, but it can also be an informal understanding. Armistices are often used to allow for the negotiation of a peace treaty.

Arbitration is a process in which a neutral third party (the arbitrator) makes a decision about a dispute between two or more parties. The parties agree to abide by the arbitrator’s decision.

Asylum is the protection given to a person who is fleeing persecution in their home country. Asylum seekers are usually granted temporary protection in the country they have fled to, while their case is being processed.

Apartheid is a system of racial segregation and discrimination. It was the official policy of the South African government from 1948 to 1994.