Sindbad~EG File Manager

Length of proof is 10.  Level of proof is 5.
 
---------------- PROOF ----------------
 
24 [] T(xa,xb,xb).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
27 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
52 [] Col(xa,xb,xa).
83 [] sameside(xa,xp,xb)|xa=xp|xb=xp|xc=xp| -T(xa,xp,xc)| -T(xb,xp,xc).
86 [] sameside(xa,xp,xb)| -Col(xa,xp,xb)|T(xa,xp,xb).
88 [] -sameside(xa,xp,xb)|sameside(xb,xp,xa).
127 [] -sameside(xa,xp,xb)|xb!=xp.
131 [] p!=q.
132 [] p!=r.
133 [] T(q,p,r).
134 [] Col(a,p,q).
135 [] a!=p.
136 [] -sameside(a,p,q).
137 [] -sameside(a,p,r).
191 [ur,27,24,131] -T(q,p,q).
272 [ur,27,24,132] -T(r,p,r).
340 [binary,133.1,25.1] T(r,p,q).
447 [binary,134.1,86.2,unit_del,136] T(a,p,q).
556 [binary,137.1,88.2] -sameside(r,p,a).
630 [binary,191.1,86.3,unit_del,52] sameside(q,p,q).
715 [binary,272.1,86.3,unit_del,52] sameside(r,p,r).
1399 [binary,630.1,127.1] q!=p.
1476 [ur,83,556,135,1399,340,447] r=p.
1566 [binary,1476.1,127.2] -sameside(x,p,r).
1567 [binary,1566.1,715.1] $F.