Sindbad~EG File Manager

Length of proof is 10.  Level of proof is 3.
 
---------------- PROOF ----------------
 
132 [] -R(xa,xb,xc)|R(xc,xb,xa).
189 [] -perpAt(y,z,x,y1,z1)|Col(y,z,x).
190 [] -perpAt(y,z,x,y1,z1)|Col(y1,z1,x).
191 [] -perpAt(y,z,x,y1,z1)|y!=z.
192 [] -perpAt(y,z,x,y1,z1)|y1!=z1.
193 [] -perpAt(y,z,x,y1,z1)| -Col(y,z,u)| -Col(y1,z1,v)|R(u,x,v).
194 [] perpAt(y,z,x,y1,z1)|y=z|y1=z1| -Col(y,z,x)| -Col(y1,z1,x)|Col(y,z,f811(y,z,y1,z1,x)).
195 [] perpAt(y,z,x,y1,z1)|y=z|y1=z1| -Col(y,z,x)| -Col(y1,z1,x)|Col(y1,z1,g811(y,z,y1,z1,x)).
196 [] perpAt(y,z,x,y1,z1)|y=z|y1=z1| -Col(y,z,x)| -Col(y1,z1,x)| -R(f811(y,z,y1,z1,x),x,g811(y,z,y1,z1,x)).
200 [] perpAt(a,b,c,p,q).
201 [] -perpAt(p,q,c,a,b).
203 [binary,200.1,193.1] -Col(a,b,x)| -Col(p,q,y)|R(x,c,y).
204 [binary,200.1,192.1] p!=q.
205 [binary,200.1,191.1] a!=b.
206 [binary,200.1,190.1] Col(p,q,c).
207 [binary,200.1,189.1] Col(a,b,c).
219 [binary,201.1,196.1,unit_del,204,205,206,207] -R(f811(p,q,a,b,c),c,g811(p,q,a,b,c)).
220 [binary,201.1,195.1,unit_del,204,205,206,207] Col(a,b,g811(p,q,a,b,c)).
221 [binary,201.1,194.1,unit_del,204,205,206,207] Col(p,q,f811(p,q,a,b,c)).
1462 [binary,219.1,132.2] -R(g811(p,q,a,b,c),c,f811(p,q,a,b,c)).
1681 [hyper,203,220,221] R(g811(p,q,a,b,c),c,f811(p,q,a,b,c)).
1682 [binary,1681.1,1462.1] $F.