Sindbad~EG File Manager

Length of proof is 5.  Level of proof is 3.
 
---------------- PROOF ----------------
 
3 [] -E(x,y,z,z)|x=y.
4 [] T(x,y,ext(x,y,w,v)).
5 [] E(y,ext(x,y,w,v),w,v).
6 [] -E(x,y,x1,y1)| -E(y,z,y1,z1)| -E(x,v,x1,v1)| -E(y,v,y1,v1)| -T(x,y,z)| -T(x1,y1,z1)|x=y|E(z,v,z1,v1).
7 [] E(xa,xb,xa,xb).
8 [] -E(xa,xb,xc,xd)|E(xc,xd,xa,xb).
9 [] -E(xa,xb,xc,xd)| -E(xc,xd,xe,xf)|E(xa,xb,xe,xf).
14 [] q!=a.
15 [] T(q,a,d).
16 [] E(a,d,b,c).
17 [] d!=ext(q,a,b,c).
40 [binary,16.1,8.1] E(b,c,a,d).
48 [binary,17.1,3.2] -E(d,ext(q,a,b,c),x,x).
97 [hyper,9,5,40] E(x,ext(y,x,b,c),a,d).
269 [ur,6,7,7,7,15,4,14,48] -E(a,d,a,ext(q,a,b,c)).
309 [binary,97.1,8.1] E(a,d,x,ext(y,x,b,c)).
310 [binary,309.1,269.1] $F.