different between proofless vs roofless

English

proof +? -less

proofless (not comparable)

Without proof.
- 1660, Robert Boyle, New Experiments Physico-Mechanical: Touching the Spring of the Air and their Effects
  nor did I content my self with the proofless proposal of my Conjecture

roof +? -less

roofless (not comparable)

Without a roof, open to the sky.
Before the tornado we had a dining room with a skylight; after it we had a roofless home with too much ventilation.
Having no house or home; unsheltered.

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