Sindbad~EG File Manager

Length of proof is 29.  Level of proof is 11.
 
---------------- PROOF ----------------
 
7 [] -T(x,y,x)|x=y.
26 [] T(xa1,xa1,xb1).
46 [] -Col(xa,xb,xc)|Col(xb,xc,xa).
51 [] Col(xa,xa,xb).
52 [] Col(xa,xb,xa).
101 [] xp=xq|Col(xp,xq,xp).
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).
109 [] M(xa,xm,xa)|xm!=xa.
165 [] Col(xa,xb,xc)| -T(xc,xa,xb).
179 [] -M(xa,xm,xb)|T(xa,xm,xb).
191 [] -perpAt(y,z,x,y1,z1)|Col(y,z,x).
192 [] -perpAt(y,z,x,y1,z1)|Col(y1,z1,x).
193 [] -perpAt(y,z,x,y1,z1)|y!=z.
194 [] -perpAt(y,z,x,y1,z1)|y1!=z1.
195 [] -perpAt(y,z,x,y1,z1)| -Col(y,z,u)| -Col(y1,z1,v)|R(u,x,v).
202 [] perpAt(a,b,c,p,q).
203 [] a=b|p=q| -Col(p,q,c)| -Col(a,b,c)| -Col(a,b,x)| -Col(p,q,y)|c=x|c=y| -R(x,c,y).
205 [binary,202.1,195.1] -Col(a,b,x)| -Col(p,q,y)|R(x,c,y).
206 [binary,202.1,194.1] p!=q.
207 [binary,202.1,193.1] a!=b.
208 [binary,202.1,192.1] Col(p,q,c).
209 [binary,202.1,191.1] Col(a,b,c).
211 [hyper,195,202,52,52] R(a,c,p).
224 [binary,203.5,165.1,unit_del,207,206,208,209] -Col(p,q,x)|c=y|c=x| -R(y,c,x)| -T(y,a,b).
227 [binary,203.5,101.2,unit_del,207,206,208,209,207] -Col(p,q,x)|c=a|c=x| -R(a,c,x).
245 [binary,203.6,46.2,unit_del,207,206,208,209] -Col(a,b,x)|c=x|c=y| -R(x,c,y)| -Col(y,p,q).
330 [binary,206.1,7.2] -T(p,q,p).
340 [ur,102,206,52] Col(q,p,p).
440 [binary,207.1,7.2] -T(a,b,a).
450 [ur,102,207,52] Col(b,a,a).
724 [binary,330.1,179.2] -M(p,q,p).
862 [binary,440.1,179.2] -M(a,b,a).
1578 [binary,724.1,109.1] q!=p.
1638 [ur,103,206,1578,340,52,52] Col(p,q,q).
1762 [binary,862.1,109.1] b!=a.
1822 [ur,103,207,1762,450,52,52] Col(a,b,b).
1893 [binary,224.4,211.1,unit_del,52,26] c=a|c=p.
2104 [hyper,205,52,1638] R(a,c,q).
2256 [hyper,205,1822,1638] R(b,c,q).
2257 [hyper,205,1822,52] R(b,c,p).
2302 [binary,227.1,1638.1,unit_del,2104] c=a|c=q.
24904 [para_into,2302.2.1,1893.2.1,unit_del,206,factor_simp] c=a.
25280 [para_from,24904.1.2,207.1.1] c!=b.
26154 [ur,245,1822,25280,2257,51] c=p.
26155 [ur,245,1822,25280,2256,52] c=q.
26926 [para_from,26154.1.2,206.1.1] c!=q.
26927 [binary,26926.1,26155.1] $F.