Sindbad~EG File Manager

Length of proof is 37.  Level of proof is 5.

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

1 [] ext(b,a,e,d)=a1.
2 [] ext(b,c,e,f)=c1.
3 [] ext(e,d,b,a)=d1.
4 [] ext(e,f,b,c)=f1.
5 [] E(x,y,y,x).
6 [] -E(x,y,z,v)| -E(x,y,z2,v2)|E(z,v,z2,v2).
8 [] T(x,y,ext(x,y,w,v)).
9 [] E(y,ext(x,y,w,v),w,v).
26 [] -E(xa,xb,xc,xd)|E(xc,xd,xa,xb).
29 [] -E(xa,xb,xc,xd)|E(xa,xb,xd,xc).
31 [] -T(xa,xb,xc)| -T(xa1,xb1,xc1)| -E(xa,xb,xa1,xb1)| -E(xb,xc,xb1,xc1)|E(xa,xc,xa1,xc1).
34 [] -T(xa,xb,xc)|T(xc,xb,xa).
36 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
69 [] Col(xa,xb,xc)| -T(xb,xc,xa).
118 [] -Col(xa,xp,xb)|T(xa,xp,xb)|sameside(xa,xp,xb).
267 [] congruent(xa,xb,xc,xd,xe,xf)| -T(xb,xa,xa1)| -E(xa,xa1,xe,xd)| -T(xb,xc,xc1)| -E(xc,xc1,xe,xf)| -T(xe,xd,xd1)| -E(xd,xd1,xb,xa)| -T(xe,xf,xf1)| -E(xf,xf1,xb,xc)| -E(xa1,xc1,xd1,xf1)|xa=xb|xc=xb|xd=xe|xf=xe.
310 [] a!=b.
311 [] c!=b.
312 [] d!=e.
313 [] f!=e.
314 [] -sameside(xa1,b,a)| -sameside(xc1,b,c)| -sameside(xd1,e,d)| -sameside(xf1,e,f)| -E(b,xa1,e,xd1)| -E(b,xc1,e,xf1)|E(xa1,xc1,xd1,xf1).
315 [] -congruent(a,b,c,d,e,f).
316 [] a1=ext(b,a,e,d).
317 [] c1=ext(b,c,e,f).
318 [] d1=ext(e,d,b,a).
319 [] f1=ext(e,f,b,c).
760 [ur,267,315,8,9,8,9,8,9,8,9,310,311,312,313,demod,1,2,3,4] -E(a1,c1,d1,f1).
774 [para_from,316.1.2,9.1.2] E(a,a1,e,d).
775 [para_from,316.1.2,8.1.3] T(b,a,a1).
789 [para_from,317.1.2,9.1.2] E(c,c1,e,f).
790 [para_from,317.1.2,8.1.3] T(b,c,c1).
804 [para_from,318.1.2,9.1.2] E(d,d1,b,a).
805 [para_from,318.1.2,8.1.3] T(e,d,d1).
819 [para_from,319.1.2,9.1.2] E(f,f1,b,c).
820 [para_from,319.1.2,8.1.3] T(e,f,f1).
924 [hyper,6,774,5] E(e,d,a1,a).
938 [binary,775.1,69.2] Col(a1,b,a).
953 [binary,775.1,36.2,unit_del,310] -T(a,b,a1).
954 [binary,775.1,34.1] T(a1,a,b).
1027 [binary,789.1,29.1] E(c,c1,f,e).
1105 [binary,790.1,69.2] Col(c1,b,c).
1120 [binary,790.1,36.2,unit_del,311] -T(c,b,c1).
1194 [binary,804.1,29.1] E(d,d1,a,b).
1260 [binary,805.1,69.2] Col(d1,e,d).
1275 [binary,805.1,36.2,unit_del,312] -T(d,e,d1).
1406 [hyper,6,819,5] E(b,c,f1,f).
1432 [binary,820.1,69.2] Col(f1,e,f).
1447 [binary,820.1,36.2,unit_del,313] -T(f,e,f1).
1448 [binary,820.1,34.1] T(f1,f,e).
1606 [binary,953.1,34.2] -T(a1,b,a).
1822 [binary,1120.1,34.2] -T(c1,b,c).
1897 [hyper,31,805,954,924,1194] E(e,d1,a1,b).
1947 [binary,1275.1,34.2] -T(d1,e,d).
2067 [binary,1447.1,34.2] -T(f1,e,f).
2160 [hyper,31,790,1448,1406,1027] E(b,c1,f1,e).
2195 [binary,1606.1,118.2,unit_del,938] sameside(a1,b,a).
2243 [binary,1822.1,118.2,unit_del,1105] sameside(c1,b,c).
2274 [binary,1897.1,29.1] E(e,d1,b,a1).
2348 [binary,1947.1,118.2,unit_del,1260] sameside(d1,e,d).
2381 [binary,2067.1,118.2,unit_del,1432] sameside(f1,e,f).
2413 [binary,2160.1,29.1] E(b,c1,e,f1).
2545 [binary,2274.1,26.1] E(b,a1,e,d1).
2745 [ur,314,2195,2243,2348,2381,2413,760] -E(b,a1,e,d1).
2746 [binary,2745.1,2545.1] $F.