Where a member of a House makes a claim that he and any other members of his legislature party constitute the group representing as faction which has arisen as a result of a split in his original political party and such group consists of not less than one-third of the members of such legislature party,-
(a) he shall not be disqualified under sub-paragraph (1) of paragraph 2 on the ground-
(b) from the time of such split, such faction shall be deemed to be the political party to which he belongs for the purposes of sub-paragraph (1) of paragraph 2 and to be his original political party for the purposes of this paragraph.