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BEABC
EQBC    assumption
 BEACB   cn:equalitysub
 BEBCB   lemma:3.6a
 NOBEBCB axiom:betweennessidentity
NEBC    reductio
EQAB    assumption
 BEBAC   cn:equalitysub
 BEABA   axiom:innertransitivity
 NOBEABA axiom:betweennessidentity
NEAB    reductio
EQAC    assumption
 BEABC
 BEABA   cn:equalitysub
 NOBEABA axiom:betweennessidentity
NEAC    reductio
ANNEBC+NEAB+NEAC 

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