Sindbad~EG File Manager

Length of proof is 42.  Level of proof is 11.
 
---------------- PROOF ----------------
 
25 [] T(xa,xb,xb).
26 [] -T(xa,xb,xc)|T(xc,xb,xa).
27 [] T(xa1,xa1,xb1).
28 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
30 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xb,xc,xd).
50 [] -Col(xa,xb,xc)|Col(xb,xa,xc).
53 [] Col(xa,xb,xa).
87 [] sameside(xa,xp,xb)| -Col(xa,xp,xb)|T(xa,xp,xb).
104 [] xa=xb|xp=xq| -Col(xp,xq,xa)| -Col(xp,xq,xb)| -Col(xp,xq,xr)|Col(xa,xb,xr).
110 [] M(xa,xm,xa)|xm!=xa.
137 [] -R(xa,xb,xc)| -R(xa1,xb,xc)| -T(xa,xc,xa1)|xb=xc.
154 [] -perp(xa,xb,xp,xq)| -Col(xa,xb,xp)| -Col(xa,xb,xq).
157 [] xa=xb| -Col(xa,xb,xd)| -perp(xa,xb,xc,xd)|perpAt(xa,xb,xd,xc,xd).
162 [] Col(xa,xb,xc)|Col(xa,xb,foot(xa,xb,xc)).
163 [] Col(xa,xb,xc)|perp(xa,xb,xc,foot(xa,xb,xc)).
166 [] -perp(xa,xb,xp,xq)|perp(xb,xa,xp,xq).
167 [] xa=xb|xc=xd| -Col(xa,xb,xc)| -Col(xa,xb,xd)| -Col(xc,xd,xp)|Col(xa,xb,xp).
171 [] xa=xb|perp(xa,xb,erect(xa,xb,xc),xa).
172 [] xa=xb|Col(xa,xb,erectAux(xa,xb,xc)).
173 [] xa=xb|T(xc,erectAux(xa,xb,xc),erect(xa,xb,xc)).
179 [] -Col(xa,xb,xc)| -Col(xa,xb,xd)|xa=xb|Col(xa,xc,xd).
180 [] -Col(xa,xb,xp)| -Col(xa,xb,xq)|xp=xq|xa=xb| -perpAt(xp,xq,xr,xc,xd)|perpAt(xa,xb,xr,xc,xd).
197 [] -opposite(xa,xp,xq,xc)| -Col(xp,xq,xr)| -sameside(xa,xr,xb)|opposite(xb,xp,xq,xc).
204 [] xa=xb| -M(u,v,w)| -Col(xa,xb,u)| -Col(xa,xb,w)|Col(xa,xb,v).
206 [] xa=xb| -samesideline(xp,xq,xa,xb)|samesideline(xq,xp,xa,xb).
208 [] xp=xq| -perpAt(xp,xq,xc,xa,xc)| -perpAt(xp,xq,xc,xb,xc)|xa=xc|Col(xc,xa,xb).
209 [] xp=xq|Col(xp,xq,xr)|Col(xp,xq,xcs)|samesideline(xr,xcs,xp,xq)|opposite(xr,xp,xq,xcs)|xp!=foot(xp,xq,xr).
232 [] Col(xa,xb,xc)| -T(xc,xa,xb).
242 [] -sameside(xa,xp,xb)|xb!=xp.
261 [] -perpAt(y,z,x,y1,z1)|y1!=z1.
262 [] -perpAt(y,z,x,y1,z1)| -Col(y,z,u)| -Col(y1,z1,v)|R(u,x,v).
268 [] xp=xq|Col(xp,xq,xa)|Col(xp,xq,xb)| -T(xa,xt,xb)| -Col(xp,xq,xt)|opposite(xa,xp,xq,xb).
284 [] -T(xa,xu,xc)| -T(xb,xv,xc)| -Col(xp,xq,xu)| -Col(xp,xq,xv)|xp=xq|xc=xu|xc=xv|xa=xu|xb=xv|Col(xp,xq,xa)|Col(xp,xq,xb)|samesideline(xa,xb,xp,xq).
286 [] p!=q.
287 [] -Col(p,q,r).
288 [] -Col(p,q,cs).
289 [] -samesideline(r,cs,p,q).
290 [] -opposite(r,p,q,cs).
291 [] p!=foot(p,q,r).
295 [] r2=erect(e,p,cs).
296 [] f2=erectAux(e,p,cs).
297 [] foot(p,q,r)=e.
301 [] erectAux(e,p,cs)=f2.
414 [binary,287.1,163.1,demod,297] perp(p,q,r,e).
415 [binary,287.1,162.1,demod,297] Col(p,q,e).
450 [binary,289.1,209.4,demod,297,unit_del,286,287,288,290] p!=e.
451 [binary,289.1,206.3,unit_del,286] -samesideline(cs,r,p,q).
503 [ur,28,25,291,demod,297,297] -T(e,p,e).
543 [para_from,295.1.2,173.2.3,demod,301] e=p|T(cs,f2,r2).
544 [para_from,295.1.2,171.2.3] e=p|perp(e,p,r2,e).
552 [para_from,296.1.2,172.2.3] e=p|Col(e,p,f2).
555 [binary,414.1,157.3,unit_del,286,415] perpAt(p,q,e,r,e).
580 [hyper,179,415,415,unit_del,286] Col(p,e,e).
634 [binary,503.1,87.3,unit_del,53] sameside(e,p,e).
655 [para_from,543.1.1,503.1.3,unit_del,25] T(cs,f2,r2).
664 [para_from,544.1.1,503.1.3,unit_del,25] perp(e,p,r2,e).
679 [para_from,552.1.1,503.1.3,unit_del,25] Col(e,p,f2).
686 [binary,555.1,261.1] r!=e.
717 [binary,634.1,242.1] e!=p.
741 [binary,655.1,26.1] T(r2,f2,cs).
792 [binary,664.1,166.1] perp(p,e,r2,e).
794 [binary,664.1,154.1,unit_del,53] -Col(e,p,r2).
824 [hyper,167,415,53,679,unit_del,286,717] Col(p,q,f2).
1017 [binary,792.1,157.3,unit_del,450,580] perpAt(p,e,e,r2,e).
1025 [binary,794.1,232.1] -T(r2,e,p).
1041 [ur,104,717,286,415,53,794] -Col(p,q,r2).
1074 [hyper,268,741,824,unit_del,286,1041,288] opposite(r2,p,q,cs).
1094 [ur,204,286,824,824,288] -M(f2,cs,f2).
1120 [binary,1017.1,261.1] r2!=e.
1134 [hyper,180,53,415,1017,unit_del,450,286] perpAt(p,q,e,r2,e).
1157 [ur,30,27,1025] -T(e,r2,e).
1208 [ur,197,1074,415,290] -sameside(r2,e,r).
1240 [binary,1094.1,110.1] cs!=f2.
1340 [hyper,262,1134,824,53] R(f2,e,r2).
1343 [hyper,208,1134,555,unit_del,286,1120] Col(e,r2,r).
1347 [binary,1157.1,87.3,unit_del,53] sameside(e,r2,e).
1480 [binary,1343.1,50.1] Col(r2,e,r).
1498 [binary,1347.1,242.1] e!=r2.
1535 [binary,1480.1,87.2,unit_del,1208] T(r2,e,r).
1580 [ur,137,1340,1340,1498] -T(f2,r2,f2).
1655 [binary,1535.1,26.1] T(r,e,r2).
1732 [ur,30,27,1580] -T(r2,f2,r2).
1877 [hyper,284,655,1655,824,415,unit_del,286,1120,1240,686,288,287,451] r2=f2.
1943 [binary,1732.1,87.3,unit_del,53] sameside(r2,f2,r2).
1960 [binary,1877.1,242.2] -sameside(x,f2,r2).
1961 [binary,1960.1,1943.1] $F.