Torch
if 1 then H is proven, if 0 then --U-- is proven
cinge-0 disproves c and g from cough, and boldy disproves the o, leaving --u-h from cough as only possible letters.
also, R from torch disprove by xerox, and T, O and C are disproven by touch-1 since the U or H must be a correct letter.