Sindbad~EG File Manager

Length of proof is 37.  Level of proof is 5.
 
---------------- PROOF ----------------
 
1 [] E(x,y,y,x).
2 [] -E(x,y,z,v)| -E(x,y,z2,v2)|E(z,v,z2,v2).
4 [] T(x,y,ext(x,y,w,v)).
5 [] E(y,ext(x,y,w,v),w,v).
14 [] -E(xa,xb,xc,xd)|E(xc,xd,xa,xb).
17 [] -E(xa,xb,xc,xd)|E(xa,xb,xd,xc).
19 [] -T(xa,xb,xc)| -T(xa1,xb1,xc1)| -E(xa,xb,xa1,xb1)| -E(xb,xc,xb1,xc1)|E(xa,xc,xa1,xc1).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
27 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
86 [] sameside(xa,xp,xb)| -Col(xa,xp,xb)|T(xa,xp,xb).
262 [] Col(xa,xb,xc)| -T(xb,xc,xa).
321 [] 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.
323 [] a!=b.
324 [] c!=b.
325 [] d!=e.
326 [] f!=e.
327 [] -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).
328 [] -congruent(a,b,c,d,e,f).
329 [] a1=ext(b,a,e,d).
330 [] c1=ext(b,c,e,f).
331 [] d1=ext(e,d,b,a).
332 [] f1=ext(e,f,b,c).
333 [] ext(b,a,e,d)=a1.
334 [] ext(b,c,e,f)=c1.
335 [] ext(e,d,b,a)=d1.
336 [] ext(e,f,b,c)=f1.
584 [ur,321,328,4,5,4,5,4,5,4,5,323,324,325,326,demod,333,334,335,336] -E(a1,c1,d1,f1).
597 [para_from,329.1.2,5.1.2] E(a,a1,e,d).
598 [para_from,329.1.2,4.1.3] T(b,a,a1).
611 [para_from,330.1.2,5.1.2] E(c,c1,e,f).
612 [para_from,330.1.2,4.1.3] T(b,c,c1).
625 [para_from,331.1.2,5.1.2] E(d,d1,b,a).
626 [para_from,331.1.2,4.1.3] T(e,d,d1).
639 [para_from,332.1.2,5.1.2] E(f,f1,b,c).
640 [para_from,332.1.2,4.1.3] T(e,f,f1).
672 [hyper,2,597,1] E(e,d,a1,a).
676 [binary,598.1,262.2] Col(a1,b,a).
690 [binary,598.1,27.2,unit_del,323] -T(a,b,a1).
691 [binary,598.1,25.1] T(a1,a,b).
705 [binary,611.1,17.1] E(c,c1,f,e).
724 [binary,612.1,262.2] Col(c1,b,c).
738 [binary,612.1,27.2,unit_del,324] -T(c,b,c1).
753 [binary,625.1,17.1] E(d,d1,a,b).
769 [binary,626.1,262.2] Col(d1,e,d).
783 [binary,626.1,27.2,unit_del,325] -T(d,e,d1).
811 [hyper,2,639,1] E(b,c,f1,f).
822 [binary,640.1,262.2] Col(f1,e,f).
836 [binary,640.1,27.2,unit_del,326] -T(f,e,f1).
837 [binary,640.1,25.1] T(f1,f,e).
890 [binary,690.1,25.2] -T(a1,b,a).
979 [binary,738.1,25.2] -T(c1,b,c).
1013 [hyper,19,626,691,672,753] E(e,d1,a1,b).
1039 [binary,783.1,25.2] -T(d1,e,d).
1092 [binary,836.1,25.2] -T(f1,e,f).
1139 [hyper,19,612,837,811,705] E(b,c1,f1,e).
1151 [binary,890.1,86.3,unit_del,676] sameside(a1,b,a).
1191 [binary,979.1,86.3,unit_del,724] sameside(c1,b,c).
1212 [binary,1013.1,17.1] E(e,d1,b,a1).
1230 [binary,1039.1,86.3,unit_del,769] sameside(d1,e,d).
1254 [binary,1092.1,86.3,unit_del,822] sameside(f1,e,f).
1281 [binary,1139.1,17.1] E(b,c1,e,f1).
1313 [binary,1212.1,14.1] E(b,a1,e,d1).
1363 [ur,327,1151,1191,1230,1254,1281,584] -E(b,a1,e,d1).
1364 [binary,1363.1,1313.1] $F.