Which form of government would the following be? Would it be functional? Are there any historical or contemporary governments that had a similar system? Please let me if there are any contradictions.

The government is divided into three branches: legislative, executive and judicial.

Legislative:
- The legislative branch is divided into three houses: the House of Representatives, the Senate, and the Council.
- Both the House of Representatives and Senate are made up of representatives and delegates chosen by majority vote per district.
- The Council is a group of 20 individuals appointed by the head of the state religion representing the main religious governing body. 
- Both  representatives in the House and delegates in the Senate serve five-year terms with a chance of reelection.
- All members of the Council serve for life.
- A bill can passed in one of two ways:
A: be approved of by 60% of both Senate and House.
B: be approved by the Council with a majority vote, even if one house unanimously rejects.

Executive:
- The executive branch is made up of a President (elected by popular vote) and their cabinet.
- Both serve a single five-year term with no chance for reelection.
- All cabinet positions must be approved of by the Council in majority vote or by 60% of both the Senate and House.

Judicial:
- The Judicial Branch makes up the Supreme Court.
- It is composed of six posts, all for life, made up of appointees chosen by the President and approved of by a simple majority in the Senate and House. 
- The Council has no involvement in appointment or approval of Judges.