Sindbad~EG File Manager

Length of proof is 26.  Level of proof is 6.
 
---------------- PROOF ----------------
 
2 [] -E(x,y,z,v)| -E(x,y,z2,v2)|E(z,v,z2,v2).
14 [] -E(xa,xb,xc,xd)|E(xc,xd,xa,xb).
15 [] -E(xa,xb,xc,xd)| -E(xc,xd,xe,xf)|E(xa,xb,xe,xf).
17 [] -E(xa,xb,xc,xd)|E(xa,xb,xd,xc).
22 [] -E(xa,xb,xc,xd)|E(xb,xa,xd,xc).
112 [] -M(xp,xa,xq)|xq=s(xa,xp).
113 [] s(xa,s(xa,xp))=xp.
118 [] E(xp,xq,s(xa,xp),s(xa,xq)).
132 [] -R(xa,xb,xc)|R(xc,xb,xa).
140 [] -R(xa,xb,xc)| -E3(xa,xb,xc,xa1,xb1,xc1)|R(xa1,xb1,xc1).
174 [] M(xa,midpoint(xa,xb),xb).
227 [] -R(xa,xb,xc)| -R(xa1,xb,xc1)| -E(xa,xb,xa1,xb)| -E(xb,xc,xb,xc1)|E(xa,xc,xa1,xc1).
246 [] -E(xa1,xa2,xb1,xb2)| -E(xa1,xa3,xb1,xb3)| -E(xa2,xa3,xb2,xb3)|E3(xa1,xa2,xa3,xb1,xb2,xb3).
304 [] R(a,b,c).
305 [] R(a1,b1,c1).
306 [] E(a,b,a1,b1).
307 [] E(b,c,b1,c1).
308 [] -E(a,c,a1,c1).
309 [] cx=midpoint(b,b1).
310 [] aone=s(cx,a1).
311 [] cone=s(cx,c1).
345 [binary,304.1,132.1] R(c,b,a).
351 [binary,305.1,132.1] R(c1,b1,a1).
356 [binary,306.1,14.1] E(a1,b1,a,b).
371 [binary,307.1,14.1] E(b1,c1,b,c).
387 [binary,308.1,17.2] -E(a,c,c1,a1).
399 [para_from,309.1.2,174.1.2] M(b,cx,b1).
418 [para_from,310.1.2,113.1.1.2] s(cx,aone)=a1.
439 [para_from,311.1.2,113.1.1.2] s(cx,cone)=c1.
465 [binary,356.1,22.1] E(b1,a1,b,a).
493 [binary,399.1,112.1] b1=s(cx,b).
524 [para_from,418.1.1,118.1.4] E(x,aone,s(cx,x),a1).
551 [para_from,439.1.1,118.1.4] E(x,cone,s(cx,x),c1).
620 [para_into,524.1.3,493.1.2] E(b,aone,b1,a1).
621 [para_into,524.1.3,439.1.1] E(cone,aone,c1,a1).
643 [para_into,551.1.3,493.1.2] E(b,cone,b1,c1).
651 [binary,620.1,14.1] E(b1,a1,b,aone).
662 [hyper,15,620,465] E(b,aone,b,a).
672 [binary,621.1,14.1] E(c1,a1,cone,aone).
687 [ur,2,621,387] -E(cone,aone,a,c).
693 [binary,643.1,14.1] E(b1,c1,b,cone).
704 [hyper,15,643,371] E(b,cone,b,c).
764 [binary,687.1,17.2] -E(cone,aone,c,a).
768 [binary,693.1,22.1] E(c1,b1,cone,b).
784 [binary,704.1,22.1] E(cone,b,c,b).
821 [hyper,246,768,672,651] E3(c1,b1,a1,cone,b,aone).
840 [ur,227,345,784,662,764] -R(cone,b,aone).
841 [binary,821.1,140.2,unit_del,351,840] $F.