Sindbad~EG File Manager

Length of proof is 49.  Level of proof is 11.
 
---------------- PROOF ----------------
 
1 [] a=b|a!=b.
9 [] -T(xa,xp,xc)| -T(xb,xq,xc)|T(xp,ip(xa,xp,xc,xb,xq),xb).
10 [] -T(xa,xp,xc)| -T(xb,xq,xc)|T(xq,ip(xa,xp,xc,xb,xq),xa).
14 [] -T(xa,xd,xt)| -T(xb,xd,xc)|xa=xd|T(xa,xb,e1(xa,xb,xc,xd,xt)).
15 [] -T(xa,xd,xt)| -T(xb,xd,xc)|xa=xd|T(xa,xc,e2(xa,xb,xc,xd,xt)).
16 [] -T(xa,xd,xt)| -T(xb,xd,xc)|xa=xd|T(e1(xa,xb,xc,xd,xt),xt,e2(xa,xb,xc,xd,xt)).
28 [] T(xa,xb,xb).
29 [] -T(xa,xb,xc)|T(xc,xb,xa).
31 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
53 [] -Col(xa,xb,xc)|Col(xb,xa,xc).
55 [] Col(xa,xa,xb).
56 [] Col(xa,xb,xa).
90 [] sameside(xa,xp,xb)| -Col(xa,xp,xb)|T(xa,xp,xb).
106 [] xp=xq| -Col(xp,xq,xr)|Col(xq,xp,xr).
107 [] xa=xb|xp=xq| -Col(xp,xq,xa)| -Col(xp,xq,xb)| -Col(xp,xq,xr)|Col(xa,xb,xr).
108 [] xa=xb|xp=xq| -Col(xa,xb,xc)| -Col(xp,xq,xc)| -Col(xa,xb,xd)| -Col(xp,xq,xd)|xc=xd| -Col(xa,xb,xe)|Col(xp,xq,xe).
114 [] M(xp,xa,s(xa,xp)).
117 [] s(xa,s(xa,xp))=xp.
120 [] s(xa,xp)!=xp|xp=xa.
121 [] s(xa,xp)=xp|xp!=xa.
170 [] xa=xb|xc=xd| -Col(xa,xb,xc)| -Col(xa,xb,xd)| -Col(xc,xd,xp)|Col(xa,xb,xp).
204 [] -opposite(xa,xp,xq,xb)| -samesideline(xa,xb,xp,xq).
205 [] xp=xq| -samesideline(xa,xb,xp,xq)| -samesideline(xb,xc,xp,xq)|samesideline(xa,xc,xp,xq).
264 [] -parallel(xa1,xa2,xb1,xb2)| -Col(xb1,xb2,xb3)| -Col(xb1,xb2,xb4)|samesideline(xb3,xb4,xa1,xa2).
273 [] Col(xt,xq,xa)| -Col(xr,xcs,xa)| -Col(xp1,xp2,xa)| -parallel(xt,xq,xr,xcs)| -parallel(xt,xq,xp1,xp2)|T(c1211(xt,xq,xr,xcs,xp1,xp2,xa),b1211(xt,xq,xr,xcs,xp1,xp2,xa),xt).
274 [] Col(xt,xq,xa)| -Col(xr,xcs,xa)| -Col(xp1,xp2,xa)| -parallel(xt,xq,xr,xcs)| -parallel(xt,xq,xp1,xp2)|Col(xp1,xp2,c1211(xt,xq,xr,xcs,xp1,xp2,xa)).
275 [] Col(xt,xq,xa)| -Col(xr,xcs,xa)| -Col(xp1,xp2,xa)| -parallel(xt,xq,xr,xcs)| -parallel(xt,xq,xp1,xp2)|Col(xr,xcs,b1211(xt,xq,xr,xcs,xp1,xp2,xa)).
276 [] Col(xt,xq,xa)| -Col(xr,xcs,xa)| -Col(xp1,xp2,xa)| -parallel(xt,xq,xr,xcs)| -parallel(xt,xq,xp1,xp2)|xa!=c1211(xt,xq,xr,xcs,xp1,xp2,xa).
297 [] Col(xa,xb,xc)| -T(xa,xb,xc).
299 [] Col(xa,xb,xc)| -T(xc,xa,xb).
309 [] -sameside(xa,xp,xb)|xb!=xp.
313 [] -M(xa,xm,xb)|T(xa,xm,xb).
335 [] xp=xq|Col(xp,xq,xa)|Col(xp,xq,xb)| -T(xa,xt,xb)| -Col(xp,xq,xt)|opposite(xa,xp,xq,xb).
361 [] -parallel(xA,yA,xB,yB)| -Col(xA,yA,x)| -Col(xB,yB,x).
365 [] t!=q.
366 [] -Col(t,q,a).
367 [] r!=cs.
368 [] p1!=p2.
369 [] Col(r,cs,a).
370 [] Col(p1,p2,a).
372 [] parallel(t,q,r,cs).
373 [] parallel(t,q,p1,p2).
376 [] c=s(a,c1).
378 [] a!=d.
381 [] e1(a,b,c,d,t)=cx.
382 [] e2(a,b,c,d,t)=cy.
383 [] b1211(t,q,r,cs,p1,p2,a)=b.
384 [] c1211(t,q,r,cs,p1,p2,a)=c1.
385 [] s(a,c1)=c.
386 [] ip(t,b,c1,c,a)=d.
500 [ur,107,365,55,55,55,366] x=x.
564 [ur,31,28,368] -T(p2,p1,p2).
605 [binary,370.1,106.2,unit_del,368] Col(p2,p1,a).
649 [hyper,275,369,370,372,373,demod,383,unit_del,366] Col(r,cs,b).
650 [hyper,274,369,370,372,373,demod,384,unit_del,366] Col(p1,p2,c1).
651 [hyper,273,369,370,372,373,demod,384,383,unit_del,366] T(c1,b,t).
659 [ur,361,373,56] -Col(p1,p2,t).
660 [ur,276,366,369,370,372,373,demod,384] a!=c1.
705 [para_into,376.1.2,121.1.1] c=c1|c1!=a.
709 [para_from,376.1.2,120.1.1] c!=c1|c1=a.
710 [para_from,376.1.2,117.1.1.2] s(a,c)=c1.
712 [para_from,376.1.2,114.1.3] M(c1,a,c).
820 [binary,564.1,90.3,unit_del,56] sameside(p2,p1,p2).
898 [binary,650.1,106.2,unit_del,368] Col(p2,p1,c1).
939 [binary,651.1,297.2] Col(c1,b,t).
945 [binary,651.1,29.1] T(t,b,c1).
1030 [ur,170,368,660,370,650,659] -Col(a,c1,t).
1036 [ur,106,660,56] Col(c1,a,a).
1062 [para_from,709.2.1,660.1.2,unit_del,500] c!=c1.
1072 [para_into,710.1.1.2,705.1.1,demod,385,unit_del,1062] c1!=a.
1073 [para_into,710.1.1,121.1.1,unit_del,1062] c!=a.
1080 [para_from,710.1.1,114.1.3] M(c,a,c1).
1086 [binary,712.1,313.1] T(c1,a,c).
1095 [binary,820.1,309.1] p2!=p1.
1116 [hyper,107,898,605,56,unit_del,1072,1095] Col(c1,a,p2).
1146 [binary,939.1,53.1] Col(b,c1,t).
1150 (heat=1) [para_into,1146.1.1,1.1.2,unit_del,1030] a!=b.
1188 [hyper,108,650,56,370,1036,56,unit_del,368,1072,1072] Col(c1,a,p1).
1332 [binary,1080.1,313.1] T(c,a,c1).
1351 [binary,1086.1,297.2] Col(c1,a,c).
1577 [hyper,10,945,1332,demod,386] T(a,d,t).
1578 [hyper,9,945,1332,demod,386] T(b,d,c).
1629 [hyper,107,1351,1036,1188,unit_del,1073,1072] Col(c,a,p1).
1630 [hyper,107,1351,1036,1116,unit_del,1073,1072] Col(c,a,p2).
1704 [hyper,16,1577,1578,demod,381,382,unit_del,378] T(cx,t,cy).
1705 [hyper,15,1577,1578,demod,382,unit_del,378] T(a,c,cy).
1706 [hyper,14,1577,1578,demod,381,unit_del,378] T(a,b,cx).
1798 [binary,1705.1,29.1] T(cy,c,a).
1814 [binary,1706.1,297.2] Col(a,b,cx).
1830 [binary,1798.1,299.2] Col(c,a,cy).
1861 [hyper,170,369,649,1814,unit_del,367,1150] Col(r,cs,cx).
1898 [hyper,107,1629,1630,1830,unit_del,368,1073] Col(p1,p2,cy).
1942 [hyper,264,372,1861,369] samesideline(cx,a,t,q).
1976 [ur,361,372,1861] -Col(t,q,cx).
2001 [hyper,264,373,370,1898] samesideline(a,cy,t,q).
2043 [ur,361,373,1898] -Col(t,q,cy).
2109 [hyper,205,1942,2001,unit_del,365] samesideline(cx,cy,t,q).
2123 [ur,335,365,1976,2043,1704,56] opposite(cx,t,q,cy).
2153 [binary,2109.1,204.2] -opposite(cx,t,q,cy).
2154 [binary,2153.1,2123.1] $F.