Sindbad~EG File Manager

Length of proof is 22.  Level of proof is 8.

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

8 [] -T(xa,xp,xc)| -T(xb,xq,xc)|T(xp,ip(xa,xp,xc,xb,xq),xb).
9 [] -T(xa,xp,xc)| -T(xb,xq,xc)|T(xq,ip(xa,xp,xc,xb,xq),xa).
13 [] E(xa,xb,xa,xb).
18 [] E(xa,xa,xb,xb).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
26 [] T(xa1,xa1,xb1).
29 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xb,xc,xd).
83 [] -sameside(xa,xp,xb)|Col(xa,xp,xb).
87 [] -sameside(xa,xp,xb)|sameside(xb,xp,xa).
107 [] M(xa,xm,xa)|xm!=xa.
109 [] -M(xp,xa,xr)| -M(xp,xa,xq)|xr=xq.
128 [] -T(xa1,xc,xa2)| -T(xb1,xc,xb2)| -E(xc,xa1,xc,xb1)| -E(xc,xa2,xc,xb2)| -M(xa1,xm1,xb1)| -M(xa2,xm2,xb2)|T(xm1,xc,xm2).
165 [] xa=xb|xc=xd| -Col(xa,xb,xc)| -Col(xa,xb,xd)| -Col(xc,xd,xp)|Col(xa,xb,xp).
206 [] Col(xa,xb,xc)| -T(xa,xb,xc).
207 [] Col(xa,xb,xc)| -T(xb,xc,xa).
218 [] -sameside(xa,xp,xb)|xb!=xp.
222 [] -M(xa,xm,xb)|T(xa,xm,xb).
244 [] xp=xq|Col(xp,xq,xa)|Col(xp,xq,xb)| -T(xa,xt,xb)| -Col(xp,xq,xt)|opposite(xa,xp,xq,xb).
245 [] -opposite(xa,xp,xq,xb)| -Col(xp,xq,xa).
246 [] -opposite(xa,xp,xq,xb)| -Col(xp,xq,xb).
262 [] opposite(a,p,q,c).
263 [] Col(p,q,m).
264 [] M(a,m,c).
265 [] Col(p,q,r).
266 [] sameside(a,r,b).
267 [] -opposite(b,p,q,c).
268 [] T(r,b,a).
270 [] ip(r,b,a,c,m)=t.
273 [binary,262.1,246.1] -Col(p,q,c).
274 [binary,262.1,245.1] -Col(p,q,a).
331 [binary,264.1,222.1] T(a,m,c).
341 [hyper,109,264,264] c=c.
403 [binary,266.1,218.1] b!=r.
411 [binary,266.1,87.1] sameside(b,r,a).
485 [binary,268.1,25.1] T(a,b,r).
615 [binary,341.1,107.2] M(c,c,c).
890 [binary,273.1,206.1] -T(p,q,c).
1209 [binary,331.1,25.1] T(c,m,a).
1630 [binary,411.1,83.1] Col(b,r,a).
2730 [ur,128,26,26,18,13,615,890] -M(q,p,q).
3669 [hyper,9,268,1209,demod,270] T(m,t,r).
3675 [hyper,8,268,1209,demod,270] T(b,t,c).
5532 [binary,2730.1,107.1] p!=q.
5618 [ur,165,5532,403,265,1630,274] -Col(p,q,b).
6729 [binary,3669.1,207.2] Col(r,m,t).
10203 [ur,244,5532,5618,273,265,267] -T(b,r,c).
10205 [ur,244,5532,5618,273,3675,267] -Col(p,q,t).
11164 [hyper,165,265,263,6729,unit_del,5532,10205] r=m.
11304 [para_from,11164.1.2,331.1.2] T(a,r,c).
17727 [ur,29,485,10203] -T(a,r,c).
17728 [binary,17727.1,11304.1] $F.