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Length of proof is 14.  Level of proof is 6.
 
---------------- PROOF ----------------
 
7 [] -T(x,y,x)|x=y.
37 [] T(xa,xb,ext(xa,xb,alpha,gamma)).
38 [] xb!=ext(xa,xb,alpha,gamma).
46 [] -Col(xa,xb,xc)|Col(xb,xc,xa).
47 [] -Col(xa,xb,xc)|Col(xc,xa,xb).
48 [] -Col(xa,xb,xc)|Col(xc,xb,xa).
52 [] Col(xa,xb,xa).
98 [] xp=xq|xp=xr| -T(xq,xp,xr)|xa!=xp|Col(xa,xp,xq).
102 [] xp=xq| -Col(xp,xq,xr)|Col(xq,xp,xr).
103 [] xa=xb|xp=xq| -Col(xp,xq,xa)| -Col(xp,xq,xb)| -Col(xp,xq,xr)|Col(xa,xb,xr).
104 [] xa=xb|xp=xq| -Col(xa,xb,xc)| -Col(xp,xq,xc)| -Col(xa,xb,xd)| -Col(xp,xq,xd)|xc=xd| -Col(xa,xb,xe)|Col(xp,xq,xe).
109 [] M(xa,xm,xa)|xm!=xa.
132 [] -R(xa,xb,xc)|R(xc,xb,xa).
152 [] xa=xb|xp=xq| -Col(xp,xq,xcx)| -Col(xa,xb,xcx)| -Col(xa,xb,u)| -Col(xp,xq,v)|xcx=u|xcx=v| -R(u,xcx,v)|perpAt(xa,xb,xcx,xp,xq).
195 [] -M(xa,xm,xb)|T(xa,xm,xb).
216 [] perp(xp,xq,xp1,xq1)| -perpAt(xp,xq,x,xp1,xq1).
218 [] a!=b.
219 [] Col(a,b,p).
220 [] Col(a,b,q).
221 [] q!=p.
222 [] -perp(a,b,c,p).
223 [] -Col(a,b,c).
224 [] R(c,p,q).
481 [hyper,103,220,219,219,unit_del,221,218] Col(q,p,p).
555 [binary,221.1,7.2] -T(q,p,q).
620 [binary,222.1,216.1] -perpAt(a,b,x,c,p).
653 [binary,224.1,132.1] R(q,p,c).
1519 [ur,104,221,218,52,220,481,219,221,223] -Col(q,p,c).
1679 [binary,555.1,195.2] -M(q,p,q).
3037 [binary,1519.1,48.2] -Col(c,p,q).
3038 [binary,1519.1,47.2] -Col(p,c,q).
3039 [binary,1519.1,46.2] -Col(c,q,p).
3482 [binary,1679.1,109.1] p!=q.
6739 [ur,98,3482,38,37,3037] c!=p.
7208 [ur,98,221,38,37,3039] c!=q.
7287 [ur,98,7208,38,37,3038] p!=c.
7454 [ur,102,7287,52] Col(c,p,p).
10509 [hyper,152,7454,219,220,52,653,unit_del,218,6739,3482,7287,620] $F.