Sindbad~EG File Manager

Length of proof is 31.  Level of proof is 12.

---------------- PROOF ----------------

1 [] il(t,c,r,cs)=b2.
8 [] -E(x,y,z,z)|x=y.
9 [] T(x,y,ext(x,y,w,v)).
10 [] E(y,ext(x,y,w,v),w,v).
26 [] E(x,y,x,y).
35 [] -T(xa,xb,xc)|T(xc,xb,xa).
36 [] T(xa,xa,xb).
48 [] -T(xa,xb,xc)| -T(xa1,xb1,xc1)| -E(xa,xc,xa1,xc1)| -E(xb,xc,xb1,xc1)|E(xa,xb,xa1,xb1).
70 [] Col(xa,xb,xc)| -T(xa,xb,xc).
118 [] -sameside(xa,xp,xb)|Col(xa,xp,xb).
121 [] xa=xp|sameside(xa,xp,xa).
133 [] -M(xa,xm,xb)|T(xa,xm,xb).
140 [] M(x,xa,s(xa,x)).
142 [] s(x,s(x,y))=y.
143 [] s(xa,xp)!=xr|s(xa,xq)!=xr|xp=xq.
145 [] s(xa,xp)!=xp|xp=xa.
146 [] xp!=xa|s(xa,xp)=xp.
221 [] xa=xb|xc=xd| -Col(xa,xb,xc)| -Col(xa,xb,xd)| -Col(xc,xd,xp)|Col(xa,xb,xp).
227 [] xp=xq|Col(xp,xq,xa)|Col(xp,xq,xb)| -T(xa,xt,xb)| -Col(xp,xq,xt)|opposite(xa,xp,xq,xb).
228 [] -opposite(xa,xp,xq,xb)| -Col(xp,xq,xa).
230 [] -opposite(xa,xp,xq,xb)|T(xa,il(xa,xb,xp,xq),xb).
231 [] -opposite(xa,xp,xq,xb)|Col(xp,xq,il(xa,xb,xp,xq)).
249 [] -opposite(xa,xp,xq,xc)|opposite(xb,xp,xq,xc)| -samesideline(xa,xb,xp,xq).
254 [] -samesideline(x,y,u,v)|samesideline(y,x,u,v).
255 [] xp=xq|Col(xp,xq,xs)|Col(xp,xq,xr)|opposite(xr,xp,xq,xs)|samesideline(xr,xs,xp,xq).
269 [] reflect(u,v,xp)!=xp1|Col(u,v,xp)|opposite(xp,u,v,xp1).
300 [] -parallel(xA,yA,xB,yB)| -Col(xA,yA,x)| -Col(xB,yB,x).
339 [] x=x.
340 [] t!=q.
342 [] r!=cs.
343 [] Col(r,cs,a).
344 [] p1!=p2.
345 [] Col(p1,p2,a).
347 [] parallel(t,q,r,cs).
349 [] -T(xc,xb,t)| -Col(p1,p2,xc)| -Col(r,cs,xb)|xc=a.
350 [] c2=ext(p1,p2,p1,a).
351 [] c=s(a,c2).
354 [] -opposite(t,r,cs,c2).
357 [binary,339.1,269.1] Col(x,y,z)|opposite(z,x,y,reflect(x,y,z)).
363 [binary,339.1,146.1] s(x,x)=x.
414 [binary,340.1,121.1] sameside(t,q,t).
718 [binary,344.1,8.2] -E(p1,p2,x,x).
795 [binary,345.1,228.2] -opposite(a,p1,p2,x).
1000 [para_from,350.1.2,10.1.2] E(p2,c2,p1,a).
1001 [para_from,350.1.2,9.1.3] T(p1,p2,c2).
1030 [para_from,351.1.2,145.1.1] c!=c2|c2=a.
1033 [para_from,351.1.2,142.1.1.2] s(a,c)=c2.
1035 [para_from,351.1.2,140.1.3] M(c2,a,c).
1152 [binary,414.1,118.1] Col(t,q,t).
1299 [binary,1001.1,70.2] Col(p1,p2,c2).
1419 [ur,48,1001,36,26,718] -E(p2,c2,p1,c2).
1483 [para_from,1030.2.2,1000.1.4,unit_del,1419] c!=c2.
1538 [para_into,1033.1.1,146.2.1,unit_del,1483] c!=a.
1572 [binary,1035.1,133.1] T(c2,a,c).
1663 [ur,300,347,1152] -Col(r,cs,t).
2077 [ur,143,363,1538] s(a,c)!=a.
2151 [binary,1572.1,70.2] Col(c2,a,c).
2427 [para_into,2077.1.1,1033.1.1] c2!=a.
2480 [hyper,221,1299,357,2151,unit_del,344,2427,795] Col(p1,p2,c).
2557 [ur,349,36,1299,2427] -Col(r,cs,c2).
2897 [ur,349,36,2480,1538] -Col(r,cs,c).
2944 [ur,255,342,2557,1663,354] samesideline(t,c2,r,cs).
3014 [ur,227,342,2557,2897,1572,343] opposite(c2,r,cs,c).
3022 [binary,2944.1,254.1] samesideline(c2,t,r,cs).
3140 [hyper,249,3014,3022] opposite(t,r,cs,c).
3189 [binary,3140.1,231.1,demod,1] Col(r,cs,b2).
3190 [binary,3140.1,230.1,demod,1] T(t,b2,c).
3339 [ur,349,2480,3189,1538] -T(c,b2,t).
3404 [binary,3190.1,35.1] T(c,b2,t).
3405 [binary,3404.1,3339.1] $F.