Sindbad~EG File Manager

Length of proof is 8.  Level of proof is 4.
 
---------------- PROOF ----------------
 
8 [] -T(xa,xp,xc)| -T(xb,xq,xc)|T(xp,ip(xa,xp,xc,xb,xq),xb).
9 [] -T(xa,xp,xc)| -T(xb,xq,xc)|T(xq,ip(xa,xp,xc,xb,xq),xa).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
31 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xc,xd).
39 [] T(a,b,c).
40 [] T(a1,b1,c).
41 [] T(a,p,a1).
42 [] -T(p,x,c)| -T(b,x,b1).
43 [] e=ip(c,b1,a1,a,p).
44 [] d=ip(c,b,a,b1,e).
61 [binary,39.1,25.1] T(c,b,a).
115 [binary,40.1,25.1] T(c,b1,a1).
238 [para_from,43.1.2,9.3.2,unit_del,115,41] T(p,e,c).
239 [para_from,43.1.2,8.3.2,unit_del,115,41] T(b1,e,a).
241 [para_from,44.1.2,9.3.2,unit_del,61,239] T(e,d,c).
242 [para_from,44.1.2,8.3.2,unit_del,61,239] T(b,d,b1).
739 [hyper,31,238,241] T(p,d,c).
809 [binary,242.1,42.2] -T(p,d,c).
810 [binary,809.1,739.1] $F.