Sindbad~EG File Manager

Length of proof is 4.  Level of proof is 3.
 
---------------- PROOF ----------------
 
13 [] E(xa,xb,xa,xb).
52 [] Col(xa,xb,xa).
117 [] s(xa,xp)=xp|xp!=xa.
123 [] -M(xp,xa,xq)| -M(xp,xb,xq)|xa=xb.
126 [] -Col(xa,xm,xb)| -E(xm,xa,xm,xb)|xa=xb|M(xa,xm,xb).
182 [] R(xa,xb,xc)| -E(xa,xc,xa,s(xb,xc)).
194 [] -R(a,b,b).
196 [binary,194.1,182.1] -E(a,b,a,s(b,b)).
275 [para_into,196.1.4,117.1.1,unit_del,13] b!=b.
281 [binary,275.1,126.3,unit_del,52,13] M(b,x,b).
283 [binary,275.1,123.3,factor_simp] -M(x,b,y).
284 [binary,283.1,281.1] $F.