s651.py

from research import *
s=begin(651,'Consolidate the rail and refinement families','What is the shortest supported explanation after the first20 steps?',{'families':['calendar rails','five-position Creation–Terah refinement','coarse Jacob/Joseph rails'],'scope':'source-conditioned geometry'},['C632–C650','Research Strategy'])
text='''# C651: first twenty steps\n\nTwo mechanisms explain the new File70 material. First, equal seven-year rails generate the complete cross-span matrix from a translation T. The calendar rows add fixed offsets: T, T−14 and T−26. Their simultaneous half-calendar divisibility selects T=2366 as the smallest positive member of T=2366+32760q, conditional on those offsets. Second, the five-position pattern (7,1,0,−6,−7) generates both Creation refinements and, at tenfold scale, Terah’s refinement. Jacob and Joseph share its coarse three-position projection.\n\nRestoring the supplied regular Cainan130 preserves the shape while selecting the calendar-compatible placement; it does not establish a historical insertion mechanism. Enoch’s supplied close adds a role-specific5:7 internal cut to2352. The source premise and its generated consequences are therefore visible separately.\n\nNext: reconstruct File70’s reflections and indexed cumulative paths, then use Supplement A to connect retained subdivisions, phase centers and calendar calibration. File52c remains primary; second decimal inversion stays deferred.\n'''
a=artifact('deliverables/C651_Interim_Synthesis.md',text)
finish(s,{'artifact':a,'completed_range':[632,651],'core_rules':['Dij=T+7(j−i)','R(c,u)=c+u(7,1,0,−6,−7)','T=2366+32760q']},'Twenty sequential steps now explain two whole-family generators and distinguish their inherited shapes from the source-selected placements. Further scalar boundary searches are lower priority than the prepared reflection and cumulative families.','Reconstruct the source’s Jacob-centered reflection as a complete event-role object.',{'range':651-632+1==20,'calendar':2366-14==14*168 and 2366-26==13*180,'refinement':10*14==140})