Sindbad~EG File Manager

Length of proof is 6.  Level of proof is 2.
 
---------------- PROOF ----------------
 
138 [] -R(xa,xb,xa)|xa=xb.
203 [] -perpAt(y,z,x,y1,z1)|Col(y,z,x).
204 [] -perpAt(y,z,x,y1,z1)|Col(y1,z1,x).
207 [] -perpAt(y,z,x,y1,z1)| -Col(y,z,u)| -Col(y1,z1,v)|R(u,x,v).
211 [] -perp(xp,xq,xp1,xq1)|perpAt(xp,xq,il(xp,xq,xp1,xq1),xp1,xq1).
212 [] perp(xp,xq,xp1,xq1)| -perpAt(xp,xq,x,xp1,xq1).
214 [] perpAt(a,b,c,p,q).
215 [] c!=il(a,b,p,q).
216 [binary,214.1,212.2] perp(a,b,p,q).
220 [binary,214.1,204.1] Col(p,q,c).
221 [binary,214.1,203.1] Col(a,b,c).
243 [binary,215.1,138.2] -R(c,il(a,b,p,q),c).
534 [binary,216.1,211.1] perpAt(a,b,il(a,b,p,q),p,q).
3165 [ur,207,221,220,243] -perpAt(a,b,il(a,b,p,q),p,q).
3166 [binary,3165.1,534.1] $F.