Sindbad~EG File Manager
Length of proof is 9. Level of proof is 5.
---------------- PROOF ----------------
7 [] -T(x,y,x)|x=y.
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).
27 [] T(a,b,c).
28 [] T(b,a,c).
29 [] a!=b.
39 [binary,27.1,8.1] -T(x,y,c)|T(b,ip(a,b,c,x,y),x).
56 [hyper,8,27,24] T(b,ip(a,b,c,x,c),x).
81 [hyper,9,27,28] T(a,ip(a,b,c,b,a),a).
2181 [binary,56.1,7.1] b=ip(a,b,c,b,c).
2374 [para_from,2181.1.1,29.1.2] a!=ip(a,b,c,b,c).
2815 [binary,81.1,7.1] a=ip(a,b,c,b,a).
3031 [para_from,2815.1.2,39.2.2,unit_del,28] T(b,a,b).
3046 [binary,3031.1,7.1] b=a.
3121 [para_from,3046.1.1,2181.1.1] a=ip(a,b,c,b,c).
3122 [binary,3121.1,2374.1] $F.
Sindbad File Manager Version 1.0, Coded By Sindbad EG ~ The Terrorists