What is problem as Proctor and his friends present evidence to Danforth in Act 3?

The primary problem that arises as Proctor and his friends present evidence to Danforth in Act 3 of Arthur Miller's "The Crucible" is the fact that Danforth doesn't believe their testimonies. Despite the compelling evidence, including Mary Warren's sudden change in allegiance and the revelation of Abigail Williams' manipulation, Danforth remains steadfast in his conviction that the court's proceedings are just and the accusations are valid. His unwillingness to question authority figures like Hale creates a barrier to the revelation of truth. Additionally, the evidence presented also casts doubt on the characters and integrity of some individuals on the board, causing tensions and challenges that further hinders the fair examination of the accusations.