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Length of proof is 38.  Level of proof is 12.
 
---------------- PROOF ----------------
 
7 [] -T(x,y,x)|x=y.
27 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
52 [] Col(xa,xb,xa).
86 [] sameside(xa,xp,xb)| -Col(xa,xp,xb)|T(xa,xp,xb).
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).
109 [] M(xa,xm,xa)|xm!=xa.
110 [] M(xp,xa,s(xa,xp)).
113 [] s(xa,s(xa,xp))=xp.
117 [] s(xa,xp)=xp|xp!=xa.
123 [] -M(xp,xa,xq)| -M(xp,xb,xq)|xa=xb.
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).
156 [] xa=xb| -Col(xa,xb,xd)| -perp(xa,xb,xc,xd)|perpAt(xa,xb,xd,xc,xd).
161 [] Col(xa,xb,xc)|Col(xa,xb,foot(xa,xb,xc)).
162 [] Col(xa,xb,xc)|perp(xa,xb,xc,foot(xa,xb,xc)).
174 [] M(xa,midpoint(xa,xb),xb).
203 [] xa=xb| -M(u,v,w)| -Col(xa,xb,u)| -Col(xa,xb,w)|Col(xa,xb,v).
234 [] Col(xa,xb,xc)| -T(xb,xc,xa).
235 [] Col(xa,xb,xc)| -T(xc,xa,xb).
244 [] -sameside(xa,xp,xb)|xa!=xp.
249 [] -M(xa,xm,xb)|T(xa,xm,xb).
264 [] -perpAt(y,z,x,y1,z1)|y1!=z1.
265 [] -perpAt(y,z,x,y1,z1)| -Col(y,z,u)| -Col(y1,z1,v)|R(u,x,v).
270 [] perp(xp,xq,xp1,xq1)| -perpAt(xp,xq,x,xp1,xq1).
289 [] a!=b.
290 [] -Col(a,b,midpoint(p,x))| -perp(a,b,p,x).
291 [] -Col(a,b,midpoint(p,x))|p!=x.
292 [] cx=foot(a,b,p).
293 [] p1=s(cx,p).
356 [binary,289.1,7.2] -T(a,b,a).
362 [ur,102,289,52] Col(b,a,a).
379 [binary,290.2,270.1] -Col(a,b,midpoint(p,x))| -perpAt(a,b,y,p,x).
388 [para_from,292.1.2,162.2.4] Col(a,b,p)|perp(a,b,p,cx).
389 [para_from,292.1.2,161.2.3] Col(a,b,p)|Col(a,b,cx).
408 [para_from,293.1.2,113.1.1.2] s(cx,p1)=p.
410 [para_from,293.1.2,110.1.3] M(p,cx,p1).
416 [binary,356.1,249.2] -M(a,b,a).
469 [binary,408.1,109.2] M(p,s(cx,p1),p).
471 [para_into,408.1.1,408.1.1] p=p.
483 [para_from,408.1.1,110.1.3] M(p1,cx,p).
486 [binary,410.1,249.1] T(p,cx,p1).
490 [hyper,123,410,174] cx=midpoint(p,p1).
497 [binary,416.1,109.1] b!=a.
513 [hyper,123,469,174] s(cx,p1)=midpoint(p,p).
520 [binary,471.1,291.2] -Col(a,b,midpoint(p,p)).
528 [binary,483.1,249.1] T(p1,cx,p).
588 [binary,490.1,117.2] s(midpoint(p,p1),cx)=cx.
614 [ur,103,289,497,362,52,52] Col(a,b,b).
632 [para_into,513.1.1,408.1.1] p=midpoint(p,p).
657 [binary,528.1,235.2] Col(cx,p,p1).
658 [binary,528.1,234.2] Col(p,p1,cx).
696 [para_from,588.1.1,110.1.3] M(cx,midpoint(p,p1),cx).
739 [para_from,632.1.1,389.1.3,unit_del,520] Col(a,b,cx).
740 [para_from,632.1.1,388.1.3,unit_del,520] perp(a,b,p,cx).
825 [hyper,203,696,739,739,unit_del,289] Col(a,b,midpoint(p,p1)).
854 [binary,740.1,156.3,unit_del,289,739] perpAt(a,b,cx,p,cx).
907 [binary,825.1,379.1] -perpAt(a,b,x,p,p1).
908 [binary,825.1,291.1] p!=p1.
960 [binary,854.1,264.1] p!=cx.
968 [hyper,265,854,614,52] R(b,cx,p).
970 [hyper,265,854,52,52] R(a,cx,p).
1108 [ur,27,486,960] -T(cx,p,p1).
1164 [binary,1108.1,86.3,unit_del,657] sameside(cx,p,p1).
1187 [binary,1164.1,244.1] cx!=p.
1227 [ur,152,289,908,658,739,614,52,1187,968,907] cx=b.
1228 [ur,152,289,908,658,739,52,52,1187,970,907] cx=a.
1306 [para_from,1227.1.2,497.1.1] cx!=a.
1307 [binary,1306.1,1228.1] $F.