Sindbad~EG File Manager

Length of proof is 32.  Level of proof is 11.
 
---------------- PROOF ----------------
 
4 [] T(x,y,ext(x,y,w,v)).
5 [] E(y,ext(x,y,w,v),w,v).
16 [] E(xa,xb,xa,xb).
24 [] -E(xb,xc,xa,xa)|xb=xc.
28 [] -T(xa,xb,xc)|T(xc,xb,xa).
29 [] T(xa1,xa1,xb1).
45 [] -T(xa,xb,xc)| -T(xa1,xb1,xc1)| -E(xa,xc,xa1,xc1)| -E(xb,xc,xb1,xc1)|E(xa,xb,xa1,xb1).
55 [] Col(xa,xb,xa).
112 [] M(xa,xm,xa)|xm!=xa.
113 [] M(xp,xa,s(xa,xp)).
114 [] -M(xp,xa,xr)| -M(xp,xa,xq)|xr=xq.
116 [] s(xa,s(xa,xp))=xp.
119 [] s(xa,xp)!=xp|xp=xa.
120 [] s(xa,xp)=xp|xp!=xa.
169 [] xa=xb|xc=xd| -Col(xa,xb,xc)| -Col(xa,xb,xd)| -Col(xc,xd,xp)|Col(xa,xb,xp).
190 [] -opposite(xa,xp,xq,xb)|opposite(xb,xp,xq,xa).
202 [] -opposite(xa,xp,xq,xc)|opposite(xb,xp,xq,xc)| -samesideline(xa,xb,xp,xq).
213 [] xp=xq|Col(xp,xq,xr)|Col(xp,xq,xcs)|samesideline(xr,xcs,xp,xq)|opposite(xr,xp,xq,xcs).
288 [] Col(xa,xb,xc)| -T(xa,xb,xc).
304 [] -M(xa,xm,xb)|T(xa,xm,xb).
326 [] xp=xq|Col(xp,xq,xa)|Col(xp,xq,xb)| -T(xa,xt,xb)| -Col(xp,xq,xt)|opposite(xa,xp,xq,xb).
329 [] -opposite(xa,xp,xq,xb)|T(xa,il(xa,xb,xp,xq),xb).
330 [] -opposite(xa,xp,xq,xb)|Col(xp,xq,il(xa,xb,xp,xq)).
350 [] -parallel(xA,yA,xB,yB)|xB!=yB.
352 [] -parallel(xA,yA,xB,yB)| -Col(xA,yA,x)| -Col(xB,yB,x).
356 [] c2=ext(p1,p2,p1,a).
357 [] -opposite(t,r,cs,c2).
359 [] Col(r,cs,a).
360 [] Col(p1,p2,a).
361 [] parallel(t,q,r,cs).
362 [] parallel(t,q,p1,p2).
363 [] -T(xc,xb,t)| -Col(p1,p2,xc)| -Col(r,cs,xb)|a=xc.
364 [] c=s(a,c2).
369 [] il(t,c,r,cs)=b2.
419 [para_from,356.1.2,5.1.2] E(p2,c2,p1,a).
420 [para_from,356.1.2,4.1.3] T(p1,p2,c2).
421 [binary,357.1,190.2] -opposite(c2,r,cs,t).
487 [binary,361.1,350.1] r!=cs.
505 [ur,352,361,55] -Col(r,cs,t).
508 [binary,362.1,350.1] p1!=p2.
533 [para_into,364.1.2,120.1.1] c=c2|c2!=a.
541 [para_from,364.1.2,119.1.1] c!=c2|c2=a.
543 [para_from,364.1.2,116.1.1.2] s(a,c)=c2.
545 [para_from,364.1.2,113.1.3] M(c2,a,c).
583 [binary,420.1,288.2] Col(p1,p2,c2).
701 [binary,508.1,24.2] -E(p1,p2,x,x).
811 [para_from,543.1.1,113.1.3] M(c,a,c2).
826 [binary,545.1,304.1] T(c2,a,c).
896 [ur,45,420,29,16,701] -E(p2,c2,p1,c2).
901 [binary,826.1,288.2] Col(c2,a,c).
944 [para_into,896.1.4,541.2.1,unit_del,419] c!=c2.
1000 [binary,944.1,533.1] c2!=a.
1032 [ur,114,545,944] -M(c2,a,c2).
1115 [ur,169,508,1000,583,360,901] Col(p1,p2,c).
2920 [ur,114,811,944] -M(c,a,c).
3388 [binary,1032.1,112.1] a!=c2.
3403 [ur,363,29,583,3388] -Col(r,cs,c2).
3512 [ur,213,487,3403,505,421] samesideline(c2,t,r,cs).
9621 [binary,2920.1,112.1] a!=c.
9644 [ur,363,29,1115,9621] -Col(r,cs,c).
9846 [ur,326,487,3403,9644,826,359] opposite(c2,r,cs,c).
9934 [hyper,202,9846,3512] opposite(t,r,cs,c).
9974 [binary,9934.1,330.1,demod,369] Col(r,cs,b2).
9975 [binary,9934.1,329.1,demod,369] T(t,b2,c).
10030 [ur,363,1115,9974,9621] -T(c,b2,t).
10129 [binary,9975.1,28.1] T(c,b2,t).
10130 [binary,10129.1,10030.1] $F.