s1027.py

from research import *
s=begin(1027,'Formal closure reveals the missing source permission','What extra merge would make the section grouping stable under reflection?',{},['C1025','C1026'])
blocks=[{i} for i in range(1,12) if i not in [2,3,9,10]]+[{2,3},{9,10}];blocks=sorted(blocks,key=min);stable=all({12-i for i in b} in blocks for b in blocks)
finish(s,{'formal_blocks':[sorted(b) for b in blocks],'extra_merge':['Adam','Noah'],'status':'obstruction witness only; source does not authorize the extra merge'},'A formal stable closure would merge Adam and Noah as well as the two Esau occurrences. That shows the cost of forcing quotient symmetry; the source sections are retained unchanged.','State a general descent criterion and test it against a legitimate chronological coarsening.',{'stable':stable,'nine_classes':len(blocks)==9,'extra_merge_required':{2,3} in blocks})