Definition of "for that"

At this his relations were sore amazed; not for that they believed that what he had said to them was true, but because they thought that some frenzy distemper had got into his head; therefore, it drawing towards night, and they hoping that sleep might settle his brains, with all haste they got him to bed.

1678, John Bunyan, The Pilgrim's Progress

Being desired to name some other persons for whom he made shoes; says, he made shoes for madam Loftus, (and named several others) and added, that he had custom enough, for that he made shoes for the troop.

1813, Thomas Bayly Howell, “The Trial in Ejectment between Campbell Craig, Lessee of James Annesley, esq. and others, Plaintiff; and the Right Hon. Richard Earl of Anglesea, Defendant, A.D. 1743”, in A Complete Collection of State Trials, volume 17, page 1185