Sindbad~EG File Manager

Length of proof is 51.  Level of proof is 13.
 
---------------- PROOF ----------------
 
4 [] T(x,y,ext(x,y,w,v)).
13 [] E(xa,xb,xa,xb).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
27 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
29 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xb,xc,xd).
31 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xc,xd).
32 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xa,xb,xd).
37 [] T(xa,xb,ext(xa,xb,alpha,gamma)).
38 [] xb!=ext(xa,xb,alpha,gamma).
48 [] -Col(xa,xb,xc)|Col(xc,xb,xa).
49 [] -Col(xa,xb,xc)|Col(xb,xa,xc).
50 [] -Col(xa,xb,xc)|Col(xa,xc,xb).
56 [] xa=xb| -Col(xa,xb,xc)| -E(xa,xp,xa,xq)| -E(xb,xp,xb,xq)|E(xc,xp,xc,xq).
61 [] -T(xa,xb,xd)| -T(xa,xc,xd)|T(xa,xb,xc)|T(xa,xc,xb).
86 [] sameside(xa,xp,xb)| -Col(xa,xp,xb)|T(xa,xp,xb).
98 [] xp=xq|xp=xr| -T(xq,xp,xr)|xa!=xp|Col(xa,xp,xq).
185 [] -Col(xa,xb,xc)|xa=xb|xa=xc| -samesideline(xp,xq,xa,xb)|samesideline(xp,xq,xa,xc).
202 [] -samesideline(xp,xq,xa,xb)|samesideline(xp,xq,xb,xa).
211 [] -samesideline(xa,xb,xp,xq)| -sameside(xa,xq,xr)|samesideline(xr,xb,xp,xq).
234 [] xa=xb|Col(xa,xb,xc)|Col(xa1,xb1,xp)| -E(xa,xb,xa1,xb1)| -E3(xa,xb,xc,xa1,xb1,xc1)| -samesideline(xc1,xp,xa1,xb1)| -E3(xa,xb,xc,xa1,xb1,xc2)| -samesideline(xc2,xp,xa1,xb1)|xc1=xc2.
239 [] -congruent(xa,xb,xc,xd,xe,xf)|E3(ext(xb,xa,xe,xd),xb,ext(xb,xc,xe,xf),ext(xe,xd,xb,xa),xe,ext(xe,xf,xb,xc)).
251 [] -congruent(xa,xb,xc,xd,xe,xf)|congruent(xd,xe,xf,xa,xb,xc).
252 [] -congruent(xa1,xb1,xc1,xa2,xb2,xc2)| -congruent(xa2,xb2,xc2,xa3,xb3,xc3)|congruent(xa1,xb1,xc1,xa3,xb3,xc3).
274 [] -E(xa1,xa2,xb1,xb2)| -E(xa1,xa3,xb1,xb3)| -E(xa2,xa3,xb2,xb3)|E3(xa1,xa2,xa3,xb1,xb2,xb3).
275 [] -Col(xa,xb,xc)|T(xa,xb,xc)|T(xb,xc,xa)|T(xc,xa,xb).
276 [] Col(xa,xb,xc)| -T(xa,xb,xc).
277 [] Col(xa,xb,xc)| -T(xb,xc,xa).
278 [] Col(xa,xb,xc)| -T(xc,xa,xb).
289 [] -sameside(xa,xp,xb)|T(xp,xa,xb)|T(xp,xb,xa).
290 [] -T(xp,xa,xb)|xa=xp|xb=xp|sameside(xa,xp,xb).
291 [] -T(xp,xb,xa)|xa=xp|xb=xp|sameside(xa,xp,xb).
327 [] -samesideline(xa,xb,xp,xq)|xp!=xq.
328 [] -samesideline(xa,xb,xp,xq)| -Col(xp,xq,xa).
335 [] -congruent(xa,xb,xc,xd,xe,xf)|xf!=xe.
339 [] -Col(d,e,p).
340 [] congruent(a,b,c,d,e,f1).
341 [] samesideline(f1,p,e,d).
342 [] congruent(a,b,c,d,e,f2).
343 [] samesideline(f2,p,e,d).
344 [] -sameside(f1,e,f2).
345 [] d2=ext(e,d,e,d).
346 [] f3=ext(e,f1,e,f2).
347 [] f4=ext(e,f2,e,f1).
348 [] ext(e,d,e,d)=d2.
349 [] ext(e,f1,e,f2)=f3.
350 [] ext(e,f2,e,f1)=f4.
421 [binary,339.1,278.1] -T(p,d,e).
422 [binary,339.1,277.1] -T(e,p,d).
423 [binary,339.1,276.1] -T(d,e,p).
430 [binary,339.1,48.2] -Col(p,e,d).
436 [binary,340.1,335.1] f1!=e.
440 [binary,340.1,251.1] congruent(d,e,f1,a,b,c).
458 [binary,341.1,327.1] e!=d.
476 [binary,342.1,335.1] f2!=e.
496 [binary,344.1,291.4,unit_del,436,476] -T(e,f2,f1).
497 [binary,344.1,290.4,unit_del,436,476] -T(e,f1,f2).
514 [para_from,345.1.2,4.1.3] T(e,d,d2).
528 [para_from,346.1.2,4.1.3] T(e,f1,f3).
542 [para_from,347.1.2,4.1.3] T(e,f2,f4).
553 [binary,421.1,25.2] -T(e,d,p).
660 [hyper,252,440,342] congruent(d,e,f1,d,e,f2).
689 [ur,98,458,38,37,430] p!=e.
836 [binary,514.1,276.2] Col(e,d,d2).
852 [binary,514.1,25.1] T(d2,d,e).
890 [binary,528.1,27.2,unit_del,436] -T(f1,e,f3).
891 [binary,528.1,25.1] T(f3,f1,e).
940 [binary,542.1,278.2] Col(f2,f4,e).
955 [binary,542.1,27.2,unit_del,476] -T(f2,e,f4).
966 [ur,61,542,497,496] -T(e,f1,f4).
977 [ur,32,542,496] -T(e,f4,f1).
987 [ur,61,514,422,553] -T(e,p,d2).
1008 [binary,660.1,239.1,demod,348,349,348,350] E3(d2,e,f3,d2,e,f4).
1112 [binary,836.1,56.2,unit_del,458] -E(e,x,e,y)| -E(d,x,d,y)|E(d2,x,d2,y).
1167 [ur,31,852,421] -T(p,d2,e).
1169 [ur,29,852,423] -T(d2,e,p).
1196 [binary,891.1,278.2] Col(f1,e,f3).
1250 [binary,940.1,50.1] Col(f2,e,f4).
1265 [binary,955.1,86.3,unit_del,1250] sameside(f2,e,f4).
1291 [binary,966.1,289.2,unit_del,977] -sameside(f1,e,f4).
1367 [binary,987.1,275.3,unit_del,1169,1167] -Col(d2,e,p).
1397 [binary,1112.3,274.2] -E(e,x,e,y)| -E(d,x,d,y)| -E(d2,z,d2,u)| -E(z,x,u,y)|E3(d2,z,x,d2,u,y).
1461 [binary,1196.1,86.2,unit_del,890] sameside(f1,e,f3).
1519 [binary,1367.1,50.2] -Col(d2,p,e).
1520 [binary,1367.1,49.2] -Col(e,d2,p).
1526 [binary,1397.4,13.1,unit_del,13,13,13] E3(d2,x,y,d2,x,y).
1553 [ur,98,689,38,37,1519] d2!=p.
1612 [ur,98,1553,38,37,1520] e!=d2.
1683 [ur,185,836,458,1612,343] samesideline(f2,p,e,d2).
1684 [ur,185,836,458,1612,341] samesideline(f1,p,e,d2).
1722 [binary,1683.1,202.1] samesideline(f2,p,d2,e).
1735 [binary,1684.1,202.1] samesideline(f1,p,d2,e).
1743 [binary,1722.1,327.1] d2!=e.
1757 [hyper,211,1722,1265] samesideline(f4,p,d2,e).
1778 [hyper,211,1735,1461] samesideline(f3,p,d2,e).
1858 [binary,1778.1,328.1] -Col(d2,e,f3).
1871 [hyper,234,13,1526,1778,1008,1757,unit_del,1743,1858,1367] f3=f4.
1917 [para_from,1871.1.1,1461.1.3] sameside(f1,e,f4).
1918 [binary,1917.1,1291.1] $F.