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CUABCDE
CUABCDF
NCBCD
ANBEAEB+BECED+NCABC+NCABD  defn:cut
BEAEB
ANBEAFB+BECFD+NCABC+NCABD  defn:cut
BEAFB
COAEB   defn:collinear
COABE   lemma:collinearorder
COAFB   defn:collinear
COABF   lemma:collinearorder
COABE
NEAB    lemma:betweennotequal
COBEF   lemma:collinear4
COEFB   lemma:collinearorder
BECED
COCED   defn:collinear
BECFD
COCFD   defn:collinear
COCDF   lemma:collinearorder
COCED
COCDE   lemma:collinearorder
COCDF
NECD    lemma:betweennotequal
CODEF   lemma:collinear4
COEFD   lemma:collinearorder
COCDE
CODCE   lemma:collinear1
CODCF   lemma:collinear1
BEDEC   axiom:betweennesssymmetry
NEDC    lemma:betweennotequal
COCEF  lemma:collinear4
COEFC  lemma:collinearorder
COEFB
COEFC
COEFD
NEEF    assumption
COFBC   lemma:collinear4
COFBD   lemma:collinear4
EQFB    assumption
 COFCD   defn:collinear
 COBCD   cn:equalitysub
 NCBCD
NEFB    reductio 
COBCD   lemma:collinear4
EQEF    reductio

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