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Length of proof is 35.  Level of proof is 13.
 
---------------- PROOF ----------------
 
24 [] T(xa,xb,xb).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
28 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xb,xc).
31 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xc,xd).
46 [] -Col(xa,xb,xc)|Col(xb,xc,xa).
52 [] Col(xa,xb,xa).
84 [] -sameside(xa,xp,xb)|Col(xa,xp,xb).
85 [] -sameside(xa,xp,xb)| -T(xa,xp,xb).
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).
107 [] -M(xa,xm,xb)|M(xb,xm,xa).
109 [] M(xa,xm,xa)|xm!=xa.
110 [] M(xp,xa,s(xa,xp)).
111 [] -M(xp,xa,xr)| -M(xp,xa,xq)|xr=xq.
113 [] s(xa,s(xa,xp))=xp.
123 [] -M(xp,xa,xq)| -M(xp,xb,xq)|xa=xb.
142 [] -perp(xa,xb,xp,xq)|perp(xp,xq,xa,xb).
174 [] M(xa,midpoint(xa,xb),xb).
177 [] -perp(xp,xa,xa,xb)| -perp(xq,xb,xa,xb)| -Col(xa,xb,xt)| -T(xp,xt,xq)| -T(xb,xr,xq)| -E(xa,xp,xb,xr)|M(xp,midpoint(xa,xb),xr).
182 [] -perp(xa,xb,xp,xq)|perp(xa,xb,xq,xp).
183 [] -Col(xa,xb,xp)| -Col(xa,xb,xq)|xp=xq|xa=xb|perp(xp,xq,xc,xd)| -perp(xa,xb,xc,xd).
190 [] -sameside(xa,xb,xc)|sameside(s(xm,xa),s(xm,xb),s(xm,xc)).
212 [] Col(xa,xb,xc)| -T(xa,xb,xc).
220 [] -le(xa,xb,xc,xd)|T(xc,insert(xa,xb,xc,xd),xd).
221 [] -le(xa,xb,xc,xd)|E(xa,xb,xc,insert(xa,xb,xc,xd)).
223 [] -sameside(xa,xp,xb)|xa!=xp.
228 [] -M(xa,xm,xb)|T(xa,xm,xb).
253 [] -opposite(xa,xp,xq,xb)|T(xa,il(xa,xb,xp,xq),xb).
254 [] -opposite(xa,xp,xq,xb)|Col(xp,xq,il(xa,xb,xp,xq)).
267 [] s(xa,s(xa,xp))=xp.
268 [] opposite(a,p,q,c).
269 [] p!=q.
270 [] Col(p,q,cs).
271 [] Col(p,q,r).
272 [] perp(p,q,a,r).
273 [] perp(p,q,c,cs).
274 [] M(r,m,cs).
275 [] -sameside(cu,r,a).
276 [] le(cs,c,r,a).
277 [] r!=cs.
278 [] sameside(s(m,cu),cs,c).
281 [] il(a,c,p,q)=t.
282 [] insert(cs,c,r,a)=b.
318 [binary,268.1,254.1,demod,281] Col(p,q,t).
319 [binary,268.1,253.1,demod,281] T(a,t,c).
446 [hyper,183,271,270,272,unit_del,277,269] perp(r,cs,a,r).
460 [hyper,183,271,270,273,unit_del,277,269] perp(r,cs,c,cs).
477 [binary,274.1,107.1] M(cs,m,r).
481 [hyper,111,110,274] s(m,r)=cs.
487 [binary,276.1,221.1,demod,282] E(cs,c,r,b).
488 [binary,276.1,220.1,demod,282] T(r,b,a).
553 [binary,278.1,190.1] sameside(s(x,s(m,cu)),s(x,cs),s(x,c)).
621 [hyper,103,271,270,318,unit_del,277,269] Col(r,cs,t).
665 [binary,319.1,25.1] T(c,t,a).
726 [binary,446.1,142.1] perp(a,r,r,cs).
732 [binary,460.1,142.1] perp(c,cs,r,cs).
741 [hyper,123,477,174] m=midpoint(cs,r).
839 [binary,488.1,212.2] Col(r,b,a).
888 [para_into,553.1.1,113.1.1] sameside(cu,s(m,cs),s(m,c)).
899 [binary,621.1,102.2,unit_del,277] Col(cs,r,t).
974 [binary,726.1,182.1] perp(a,r,cs,r).
980 [binary,732.1,182.1] perp(c,cs,cs,r).
1083 [hyper,177,980,974,899,665,488,487] M(c,midpoint(cs,r),b).
1100 [para_into,1083.1.2,741.1.2] M(c,m,b).
1108 [binary,1100.1,107.1] M(b,m,c).
1123 [hyper,111,110,1108] s(m,b)=c.
1167 [para_from,1123.1.2,888.1.3.2,demod,267] sameside(cu,s(m,cs),b).
1180 [para_into,1167.1.2.2,481.1.2,demod,267] sameside(cu,r,b).
1185 [binary,1180.1,223.1] cu!=r.
1191 [binary,1180.1,85.1] -T(cu,r,b).
1192 [binary,1180.1,84.1] Col(cu,r,b).
1226 [ur,31,24,1191] -T(b,r,b).
1228 [ur,28,488,1191] -T(cu,r,a).
1273 [binary,1192.1,46.1] Col(r,b,cu).
1283 [binary,1226.1,228.2] -M(b,r,b).
1309 [binary,1228.1,86.3,unit_del,275] -Col(cu,r,a).
1343 [hyper,103,1273,52,839,unit_del,1185,1309] r=b.
1378 [binary,1283.1,109.1] r!=b.
1379 [binary,1378.1,1343.1] $F.