Sindbad~EG File Manager

Length of proof is 8.  Level of proof is 3.
 
---------------- PROOF ----------------
 
42 [] -T(xa,xb,xc)| -T(xa1,xb1,xc1)| -E(xa,xc,xa1,xc1)| -E(xb,xc,xb1,xc1)|E(xa,xb,xa1,xb1).
43 [] -T(xa,xb,xc)| -E(xa,xc,xa1,xc1)|T(xa1,insert(xa,xb,xa1,xc1),xc1).
44 [] -T(xa,xb,xc)| -E(xa,xc,xa1,xc1)|E3(xa,xb,xc,xa1,insert(xa,xb,xa1,xc1),xc1).
82 [] -E3(xa1,xa2,xa3,xb1,xb2,xb3)|E(xa2,xa3,xb2,xb3).
95 [] -T(xc,y,xd)| -E(xa,xb,xc,y)|le(xa,xb,xc,xd).
96 [] -le(a,b,c,d).
97 [] T(a,b,e).
98 [] E(a,e,c,d).
99 [binary,96.1,95.3] -T(c,x,d)| -E(a,b,c,x).
112 [binary,97.1,43.1] -E(a,e,x,y)|T(x,insert(a,b,x,y),y).
114 [binary,97.1,42.1] -T(x,y,z)| -E(a,e,x,z)| -E(b,e,y,z)|E(a,b,x,y).
282 [hyper,44,97,98] E3(a,b,e,c,insert(a,b,c,d),d).
285 [hyper,43,97,98] T(c,insert(a,b,c,d),d).
1522 [binary,112.2,99.1,unit_del,98] -E(a,b,c,insert(a,b,c,d)).
5359 [binary,285.1,114.1,unit_del,98,1522] -E(b,e,insert(a,b,c,d),d).
31960 [binary,282.1,82.1] E(b,e,insert(a,b,c,d),d).
31961 [binary,31960.1,5359.1] $F.