Sindbad~EG File Manager
Length of proof is 6. Level of proof is 4.
---------------- PROOF ----------------
109 [] M(xa,xm,xa)|xm!=xa.
123 [] -M(xp,xa,xq)| -M(xp,xb,xq)|xa=xb.
217 [] xa=xb|reflect(xa,xb,xp)!=xp1|reflect(xa,xb,xp1)=xp.
218 [] xa=xb|reflect(xa,xb,reflect(xa,xb,xp))=xp.
295 [] a!=b.
296 [] reflect(a,b,p)=p1.
297 [] p!=reflect(a,b,p1).
302 [binary,295.1,218.1] reflect(a,b,reflect(a,b,x))=x.
452 [binary,296.1,217.2,unit_del,295] reflect(a,b,p1)=p.
1101 [para_into,302.1.1,302.1.1] x=x.
1119 [binary,1101.1,109.2] M(x,x,x).
1429 [ur,123,1119,297] -M(p,reflect(a,b,p1),p).
16789 [binary,452.1,109.2] M(p,reflect(a,b,p1),p).
16790 [binary,16789.1,1429.1] $F.
Sindbad File Manager Version 1.0, Coded By Sindbad EG ~ The Terrorists