Sindbad~EG File Manager

Length of proof is 42.  Level of proof is 7.

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

7 [] -T(x,y,x)|x=y.
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
28 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xb,xc).
30 [] -T(xa,xb,xc)| -T(xb,xc,xd)|xb=xc|T(xa,xc,xd).
52 [] Col(xa,xb,xa).
83 [] sameside(xa,xp,xb)|xa=xp|xb=xp|xc=xp| -T(xa,xp,xc)| -T(xb,xp,xc).
84 [] -sameside(xa,xp,xb)|Col(xa,xp,xb).
85 [] -sameside(xa,xp,xb)| -T(xa,xp,xb).
102 [] xp=xq| -Col(xp,xq,xr)|Col(xq,xp,xr).
103 [] xa=xb|xp=xq| -Col(xp,xq,xa)| -Col(xp,xq,xb)| -Col(xp,xq,xr)|Col(xa,xb,xr).
108 [] -M(xa,xm,xa)|xm=xa.
109 [] M(xa,xm,xa)|xm!=xa.
110 [] M(xp,xa,s(xa,xp)).
112 [] -M(xp,xa,xq)|xq=s(xa,xp).
115 [] s(xa,xp)!=s(xa,xq)|xp=xq.
132 [] -R(xa,xb,xc)|R(xc,xb,xa).
136 [] -R(xa,xb,xc)| -R(xa1,xb,xc)| -T(xa,xc,xa1)|xb=xc.
156 [] xa=xb| -Col(xa,xb,xd)| -perp(xa,xb,xc,xd)|perpAt(xa,xb,xd,xc,xd).
212 [] -Col(xa,xb,xc)|T(xa,xb,xc)|T(xb,xc,xa)|T(xc,xa,xb).
215 [] Col(xa,xb,xc)| -T(xc,xa,xb).
224 [] -sameside(xa,xp,xb)|xa!=xp.
225 [] -sameside(xa,xp,xb)|xb!=xp.
229 [] -M(xa,xm,xb)|T(xa,xm,xb).
244 [] -perpAt(y,z,x,y1,z1)|y1!=z1.
245 [] -perpAt(y,z,x,y1,z1)| -Col(y,z,u)| -Col(y1,z1,v)|R(u,x,v).
254 [] -opposite(xa,xp,xq,xb)|T(xa,il(xa,xb,xp,xq),xb).
255 [] -opposite(xa,xp,xq,xb)|Col(xp,xq,il(xa,xb,xp,xq)).
269 [] opposite(a,p,q,c).
270 [] p!=q.
271 [] Col(p,q,cs).
272 [] Col(p,q,r).
273 [] perp(p,q,a,r).
274 [] perp(p,q,c,cs).
275 [] M(r,m,cs).
276 [] sameside(cu,r,a).
277 [] r=cs.
278 [] -sameside(s(m,cu),cs,c).
281 [] cu1=s(m,cu).
285 [] il(a,c,p,q)=t.
287 [] s(m,cu)=cu1.
336 [binary,269.1,255.1,demod,285] Col(p,q,t).
337 [binary,269.1,254.1,demod,285] T(a,t,c).
458 [binary,273.1,156.3,unit_del,270,272] perpAt(p,q,r,a,r).
471 [binary,274.1,156.3,unit_del,270,271] perpAt(p,q,cs,c,cs).
485 [binary,275.1,112.1] cs=s(m,r).
496 [binary,276.1,225.1] a!=r.
497 [binary,276.1,224.1] cu!=r.
503 [binary,276.1,85.1] -T(cu,r,a).
504 [binary,276.1,84.1] Col(cu,r,a).
529 [para_from,277.1.2,275.1.3] M(r,m,r).
536 [para_into,278.1.2,277.1.2,demod,287] -sameside(cu1,r,c).
580 [para_from,281.1.2,115.1.1] cu1!=s(m,x)|cu=x.
583 [para_from,281.1.2,110.1.3] M(cu,m,cu1).
664 [binary,337.1,25.1] T(c,t,a).
727 [hyper,245,458,336,52] R(t,r,a).
735 [binary,471.1,244.1] c!=cs.
743 [hyper,245,471,336,52] R(t,cs,c).
862 [binary,497.1,7.2] -T(cu,r,cu).
915 [binary,503.1,25.2] -T(a,r,cu).
937 [binary,504.1,102.2,unit_del,497] Col(r,cu,a).
958 [binary,529.1,108.1] m=r.
991 [para_into,580.1.2,485.1.2,unit_del,497] cu1!=cs.
999 [binary,583.1,229.1] T(cu,m,cu1).
1070 [binary,727.1,132.1] R(a,r,t).
1131 [para_into,735.1.2,277.1.2] c!=r.
1136 [binary,743.1,132.1] R(c,cs,t).
1166 [binary,862.1,229.2] -M(cu,r,cu).
1330 [para_into,991.1.2,277.1.2] cu1!=r.
1351 [binary,999.1,25.1] T(cu1,m,cu).
1395 [para_into,999.1.2,958.1.1] T(cu,r,cu1).
1519 [para_into,1136.1.2,277.1.2] R(c,r,t).
1522 [binary,1166.1,109.1] r!=cu.
1627 [binary,1351.1,215.2] Col(m,cu,cu1).
1689 [para_into,1351.1.2,958.1.1] T(cu1,r,cu).
1766 [ur,28,1395,503] -T(r,a,cu1).
1775 [hyper,136,1070,1519,337] r=t.
1865 [para_into,1627.1.1,958.1.1] Col(r,cu,cu1).
1943 [ur,30,1689,1330,915] -T(a,cu1,r).
2020 [para_from,1775.1.2,664.1.2] T(c,r,a).
2054 [hyper,103,1865,52,937,unit_del,1330,1522] Col(cu1,r,a).
2070 [binary,1943.1,212.4,unit_del,2054,1766] T(cu1,r,a).
2159 [ur,83,536,1330,1131,496,2020] -T(cu1,r,a).
2160 [binary,2159.1,2070.1] $F.