Sindbad~EG File Manager
Length of proof is 4. Level of proof is 3.
---------------- PROOF ----------------
135 [] R(xa,xb,xb).
137 [] -R(xa,xb,xc)| -R(xa,xc,xb)|xb=xc.
217 [] xa=xb|reflect(xa,xb,xp)!=xp1|reflect(xa,xb,xp1)=xp.
294 [] a!=b.
295 [] reflect(a,b,reflect(a,b,p))!=p.
300 [binary,294.1,217.1] reflect(a,b,x)!=y|reflect(a,b,y)=x.
491 [para_into,295.1.1.3,217.3.1,unit_del,294,factor_simp] reflect(a,b,x)!=p.
1186 [binary,300.1,137.3] reflect(a,b,x)=y| -R(z,reflect(a,b,y),x)| -R(z,x,reflect(a,b,y)).
1206 [factor,1186.2.3,unit_del,135] reflect(a,b,reflect(a,b,x))=x.
1207 [binary,1206.1,491.1] $F.
Sindbad File Manager Version 1.0, Coded By Sindbad EG ~ The Terrorists