Sindbad~EG File Manager

Length of proof is 8.  Level of proof is 4.
 
---------------- PROOF ----------------
 
47 [] -Col(xa,xb,xc)|Col(xc,xa,xb).
49 [] -Col(xa,xb,xc)|Col(xb,xa,xc).
50 [] -Col(xa,xb,xc)|Col(xa,xc,xb).
52 [] Col(xa,xb,xa).
103 [] xa=xb|xp=xq| -Col(xp,xq,xa)| -Col(xp,xq,xb)| -Col(xp,xq,xr)|Col(xa,xb,xr).
178 [] -Col(xa,xb,xc)| -Col(xa,xb,xd)|xa=xb|Col(xa,xc,xd).
180 [] -Col(xa,xb,xp)| -Col(xa,xb,xq)|xp=xq|xa=xb| -perp(xp,xq,xc,xd)|perp(xa,xb,xc,xd).
242 [] Col(a,b,p).
243 [] Col(a,b,q).
244 [] p!=q.
245 [] a!=b.
246 [] -perp(p,q,c,d).
247 [] perp(a,b,c,d).
285 [binary,242.1,47.1] Col(p,a,b).
444 [binary,243.1,50.1] Col(a,q,b).
459 [hyper,178,242,243,unit_del,245] Col(a,p,q).
568 [hyper,103,242,243,52,unit_del,244,245] Col(p,q,a).
2719 [binary,459.1,49.1] Col(p,a,q).
3258 [ur,180,568,245,244,247,246] -Col(p,q,b).
4161 [hyper,178,2719,285,unit_del,3258] p=a.
4231 [para_from,4161.1.2,444.1.1] Col(p,q,b).
4232 [binary,4231.1,3258.1] $F.