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Length of proof is 22.  Level of proof is 9.
 
---------------- PROOF ----------------
 
4 [] T(x,y,ext(x,y,w,v)).
5 [] E(y,ext(x,y,w,v),w,v).
13 [] xp=xq| -E(xa,xp,xz,xq)| -E(xb,xp,xb,xq)| -E(xc,xp,xc,xq)|T(xa,xb,xc)|T(xb,xc,xa)|T(xc,xa,xb).
14 [] E(xa,xb,xa,xb).
22 [] -E(xb,xc,xa,xa)|xb=xc.
27 [] T(xa1,xa1,xb1).
38 [] T(xa,xb,ext(xa,xb,alpha,gamma)).
43 [] -T(xa,xb,xc)| -T(xa1,xb1,xc1)| -E(xa,xc,xa1,xc1)| -E(xb,xc,xb1,xc1)|E(xa,xb,xa1,xb1).
53 [] Col(xa,xb,xa).
111 [] M(xp,xa,s(xa,xp)).
133 [] -R(xa,xb,xc)|R(xc,xb,xa).
137 [] -R(xa,xb,xc)| -R(xa1,xb,xc)| -T(xa,xc,xa1)|xb=xc.
228 [] Col(xa,xb,xc)| -T(xa,xb,xc).
229 [] Col(xa,xb,xc)| -T(xb,xc,xa).
230 [] Col(xa,xb,xc)| -T(xc,xa,xb).
245 [] -M(xa,xm,xb)|E(xm,xa,xm,xb).
254 [] -R(xa,xb,xc)|E(xa,xc,xa,s(xb,xc)).
255 [] R(xa,xb,xc)| -E(xa,xc,xa,s(xb,xc)).
260 [] -perpAt(y,z,x,y1,z1)| -Col(y,z,u)| -Col(y1,z1,v)|R(u,x,v).
284 [] p!=q.
285 [] perpAt(p,q,c,a,c).
286 [] perpAt(p,q,c,b,c).
288 [] -Col(c,a,b).
289 [] r=ext(p,q,p,c).
290 [] t=s(c,r).
333 [binary,284.1,22.2] -E(p,q,x,x).
456 [binary,288.1,230.1] -T(b,c,a).
457 [binary,288.1,229.1] -T(a,b,c).
458 [binary,288.1,228.1] -T(c,a,b).
478 [para_from,289.1.2,5.1.2] E(q,r,p,c).
479 [para_from,289.1.2,4.1.3] T(p,q,r).
490 [para_from,290.1.2,255.2.4] R(x,c,r)| -E(x,r,x,t).
491 [para_from,290.1.2,254.2.4] -R(x,c,r)|E(x,r,x,t).
502 [para_from,290.1.2,111.1.3] M(r,c,t).
650 [binary,479.1,228.2] Col(p,q,r).
723 [ur,43,479,27,14,333] -E(q,r,p,r).
739 [binary,502.1,245.1] E(c,r,c,t).
768 [hyper,260,286,650,53] R(r,c,b).
769 [hyper,260,285,650,53] R(r,c,a).
845 [binary,768.1,133.1] R(b,c,r).
854 [binary,769.1,133.1] R(a,c,r).
857 [binary,845.1,491.1] E(b,r,b,t).
865 [binary,854.1,491.1] E(a,r,a,t).
988 [hyper,13,857,739,865,unit_del,456,458,457] r=t.
1011 [para_from,988.1.1,490.2.2,unit_del,14] R(x,c,r).
1024 [hyper,137,1011,1011,38] c=r.
1135 [para_from,1024.1.1,478.1.4] E(q,r,p,r).
1136 [binary,1135.1,723.1] $F.