Sindbad~EG File Manager

Length of proof is 13.  Level of proof is 7.
 
---------------- PROOF ----------------
 
7 [] -T(x,y,x)|x=y.
49 [] -Col(xa,xb,xc)|Col(xb,xa,xc).
51 [] Col(xa,xa,xb).
52 [] Col(xa,xb,xa).
56 [] xa=xb| -Col(xa,xb,xc)| -E(xa,xp,xa,xq)| -E(xb,xp,xb,xq)|E(xc,xp,xc,xq).
102 [] xp=xq| -Col(xp,xq,xr)|Col(xq,xp,xr).
103 [] xa=xb|xp=xq| -Col(xp,xq,xa)| -Col(xp,xq,xb)| -Col(xp,xq,xr)|Col(xa,xb,xr).
104 [] xa=xb|xp=xq| -Col(xa,xb,xc)| -Col(xp,xq,xc)| -Col(xa,xb,xd)| -Col(xp,xq,xd)|xc=xd| -Col(xa,xb,xe)|Col(xp,xq,xe).
105 [] xa=xb| -Col(xa,xb,pointOffLine(xa,xb)).
109 [] M(xa,xm,xa)|xm!=xa.
117 [] s(xa,xp)=xp|xp!=xa.
118 [] E(xp,xq,s(xa,xp),s(xa,xq)).
169 [] -M(xa,xm,xb)|T(xa,xm,xb).
179 [] -R(xa,xb,xc)|E(xa,xc,xa,s(xb,xc)).
180 [] R(xa,xb,xc)| -E(xa,xc,xa,s(xb,xc)).
192 [] R(a,b,c).
193 [] a!=b.
194 [] Col(b,a,a1).
195 [] -R(a1,b,c).
196 [binary,192.1,179.1] E(a,c,a,s(b,c)).
211 [binary,193.1,105.1] -Col(a,b,pointOffLine(a,b)).
238 [binary,193.1,56.1] -Col(a,b,x)| -E(a,y,a,z)| -E(b,y,b,z)|E(x,y,x,z).
244 [binary,193.1,7.2] -T(a,b,a).
253 [ur,102,193,52] Col(b,a,a).
325 [binary,194.1,49.1] Col(a,b,a1).
351 [binary,195.1,180.1] -E(a1,c,a1,s(b,c)).
511 [binary,244.1,169.2] -M(a,b,a).
1006 [binary,511.1,109.1] b!=a.
1054 [ur,103,193,1006,253,52,52] Col(a,b,b).
2140 [ur,104,193,51,1054,51,52,1006,51,211] x=x.
2163 [binary,2140.1,117.2] s(x,x)=x.
5337 [para_from,2163.1.1,118.1.3] E(x,y,x,s(x,y)).
27448 [binary,351.1,238.4,unit_del,325,196,5337] $F.