Sindbad~EG File Manager

Length of proof is 7.  Level of proof is 3.
 
---------------- PROOF ----------------
 
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).
15 [] -E(xa,xb,xc,xd)| -E(xc,xd,xe,xf)|E(xa,xb,xe,xf).
19 [] -T(xa,xb,xc)| -T(xa1,xb1,xc1)| -E(xa,xb,xa1,xb1)| -E(xb,xc,xb1,xc1)|E(xa,xc,xa1,xc1).
65 [] le(xa,xb,xc,xd)| -T(xa,xb,xe)| -E(xa,xe,xc,xd).
94 [] -le(xa,xb,xc,xd)|T(xc,insert(xa,xb,xc,xd),xd).
95 [] -le(xa,xb,xc,xd)|E(xa,xb,xc,insert(xa,xb,xc,xd)).
97 [] le(a,b,c,d).
98 [] E(a,b,a1,b1).
99 [] E(c,d,c1,d1).
100 [] -le(a1,b1,c1,d1).
101 [binary,97.1,95.1] E(a,b,c,insert(a,b,c,d)).
102 [binary,97.1,94.1] T(c,insert(a,b,c,d),d).
185 [binary,99.1,15.2] -E(x,y,c,d)|E(x,y,c1,d1).
234 [ur,65,100,4] -E(a1,ext(a1,b1,x,y),c1,d1).
348 [hyper,2,98,101] E(a1,b1,c,insert(a,b,c,d)).
13322 [binary,234.1,185.2] -E(a1,ext(a1,b1,x,y),c,d).
32722 [hyper,19,4,102,348,5] E(a1,ext(a1,b1,insert(a,b,c,d),d),c,d).
32723 [binary,32722.1,13322.1] $F.