Sindbad~EG File Manager

Length of proof is 4.  Level of proof is 2.
 
---------------- 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).
24 [] T(xa,xb,xb).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
27 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
28 [] T(a,b,d).
29 [] T(b,c,d).
30 [] -T(a,b,c).
41 [binary,28.1,8.2] -T(x,y,d)|T(y,ip(x,y,d,a,b),a).
89 [hyper,9,29,28] T(b,ip(b,c,d,a,b),b).
103 [binary,30.1,25.2] -T(c,b,a).
2851 [binary,89.1,27.2,unit_del,24] ip(b,c,d,a,b)=b.
2914 [para_from,2851.1.1,41.2.2,unit_del,29,103] $F.