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Length of proof is 3.  Level of proof is 1.
 
---------------- PROOF ----------------
 
142 [] -perp(xa,xb,xp,xq)|perp(xp,xq,xa,xb).
183 [] -Col(xa,xb,xp)| -Col(xa,xb,xq)|xp=xq|xa=xb|perp(xp,xq,xc,xd)| -perp(xa,xb,xc,xd).
243 [] Col(a,b,p).
244 [] Col(a,b,q).
245 [] p!=q.
246 [] a!=b.
247 [] -perp(c,d,p,q).
248 [] perp(c,d,a,b).
251 [binary,243.1,183.1,unit_del,246] -Col(a,b,x)|p=x|perp(p,x,y,z)| -perp(a,b,y,z).
871 [binary,247.1,142.2] -perp(p,q,c,d).
885 [binary,248.1,142.1] perp(a,b,c,d).
8192 [binary,871.1,251.3,unit_del,244,245,885] $F.

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