Sindbad~EG File Manager

Length of proof is 41.  Level of proof is 14.
 
---------------- PROOF ----------------
 
24 [] T(xa,xb,xb).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
26 [] T(xa1,xa1,xb1).
28 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xb,xc).
29 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xb,xc,xd).
31 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xc,xd).
32 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xa,xb,xd).
48 [] -Col(xa,xb,xc)|Col(xc,xb,xa).
77 [] xa=xp|xb=xp|xc=xp| -T(xa,xp,xc)|T(xb,xp,xc)| -sameside(xa,xp,xb).
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).
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)).
156 [] xa=xb| -Col(xa,xb,xd)| -perp(xa,xb,xc,xd)|perpAt(xa,xb,xd,xc,xd).
166 [] xa=xb|xc=xd| -Col(xa,xb,xc)| -Col(xa,xb,xd)| -Col(xc,xd,xp)|Col(xa,xb,xp).
187 [] -opposite(xa,xp,xq,xb)|opposite(xb,xp,xq,xa).
189 [] -opposite(xa,xp,xq,xc)| -Col(xp,xq,xm)| -M(xa,xm,xc)| -Col(xp,xq,xr)| -sameside(xa,xr,xb)|opposite(xb,xp,xq,xc).
194 [] -opposite(xa,xp,xq,xc)|xp=xq| -Col(xp,xq,xcs)| -Col(xp,xq,xr)| -perp(xp,xq,xa,xr)| -perp(xp,xq,xc,xcs)| -M(xr,xm,xcs)| -sameside(u,xr,xa)|sameside(s(xm,u),xcs,xc).
216 [] Col(xa,xb,xc)| -T(xb,xc,xa).
226 [] -sameside(xa,xp,xb)|xa!=xp.
227 [] -sameside(xa,xp,xb)|xb!=xp.
231 [] -M(xa,xm,xb)|T(xa,xm,xb).
244 [] -perpAt(y,z,x,y1,z1)|Col(y1,z1,x).
253 [] xp=xq|Col(xp,xq,xa)|Col(xp,xq,xb)| -T(xa,xt,xb)| -Col(xp,xq,xt)|opposite(xa,xp,xq,xb).
254 [] -opposite(xa,xp,xq,xb)| -Col(xp,xq,xa).
255 [] -opposite(xa,xp,xq,xb)| -Col(xp,xq,xb).
271 [] opposite(a,p,q,c).
272 [] p!=q.
273 [] Col(p,q,cs).
274 [] Col(p,q,r).
275 [] perp(p,q,a,r).
276 [] perp(p,q,c,cs).
277 [] M(r,m,cs).
278 [] sameside(cu,r,a).
279 [] sameside(cv,cs,c).
280 [] -opposite(cu,p,q,cv).
281 [] cu1=s(m,cu).
282 [] s(m,cu)=cu1.
325 [binary,271.1,255.1] -Col(p,q,c).
326 [binary,271.1,254.1] -Col(p,q,a).
461 [binary,276.1,156.3,unit_del,272,273] perpAt(p,q,cs,c,cs).
474 [binary,277.1,231.1] T(r,m,cs).
489 [binary,278.1,226.1] cu!=r.
496 [binary,278.1,84.1] Col(cu,r,a).
506 [hyper,194,271,273,274,275,276,277,278,demod,282,unit_del,272] sameside(cu1,cs,c).
512 [binary,279.1,227.1] c!=cs.
513 [binary,279.1,226.1] cv!=cs.
519 [binary,279.1,85.1] -T(cv,cs,c).
520 [binary,279.1,84.1] Col(cv,cs,c).
533 [binary,280.1,187.2] -opposite(cv,p,q,cu).
556 [para_from,281.1.2,110.1.3] M(cu,m,cu1).
596 [binary,461.1,244.1] Col(c,cs,cs).
609 [binary,474.1,216.2] Col(cs,r,m).
748 [ur,166,272,489,274,496,326] -Col(p,q,cu).
755 [binary,506.1,226.1] cu1!=cs.
762 [binary,506.1,84.1] Col(cu1,cs,c).
902 [binary,519.1,25.2] -T(c,cs,cv).
925 [binary,520.1,48.1] Col(c,cs,cv).
932 [ur,166,272,513,273,520,325] -Col(p,q,cv).
1074 [binary,762.1,48.1] Col(c,cs,cu1).
1081 [ur,166,272,755,273,762,325] -Col(p,q,cu1).
1100 [ur,77,755,512,513,902,506] -T(cu1,cs,cv).
1161 [ur,253,272,932,748,273,533] -T(cv,cs,cu).
1237 [hyper,103,1074,596,925,unit_del,755,512] Col(cu1,cs,cv).
1284 [binary,1100.1,86.3,unit_del,1237] sameside(cu1,cs,cv).
1322 [ur,28,24,1161] -T(cs,cu,cs).
1368 [binary,1322.1,231.2] -M(cs,cu,cs).
1388 [binary,1368.1,109.1] cu!=cs.
1466 [ur,77,755,513,1388,1161,1284] -T(cu1,cs,cu).
2163 [binary,556.1,107.1] M(cu1,m,cu).
2170 [binary,2163.1,231.1] T(cu1,m,cu).
2243 [ur,31,2170,1466] -T(m,cs,cu).
2306 [ur,29,474,2243] -T(r,cs,cu).
2329 [ur,32,26,2306] -T(r,cs,r).
2339 [binary,2329.1,231.2] -M(r,cs,r).
2359 [binary,2339.1,109.1] cs!=r.
2393 [ur,166,272,2359,273,274,609] Col(p,q,m).
2482 [hyper,253,2170,2393,unit_del,272,1081,748] opposite(cu1,p,q,cu).
2529 [ur,189,2393,2163,273,1284,533] -opposite(cu1,p,q,cu).
2530 [binary,2529.1,2482.1] $F.