Sindbad~EG File Manager

Length of proof is 9.  Level of proof is 3.
 
---------------- 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).
77 [] xa=xp|xb=xp|xc=xp| -T(xa,xp,xc)|T(xb,xp,xc)| -sameside(xa,xp,xb).
86 [] sameside(xa,xp,xb)| -Col(xa,xp,xb)|T(xa,xp,xb).
88 [] -sameside(xa,xp,xb)|sameside(xb,xp,xa).
117 [] Col(xa,xb,xc)| -T(xa,xb,xc).
128 [] -sameside(xa,xp,xb)|xa!=xp.
129 [] -sameside(xa,xp,xb)|xb!=xp.
133 [] p!=q.
135 [] T(q,p,r).
136 [] sameside(a,p,r).
137 [] -Col(a,p,q).
191 [ur,27,24,133] -T(q,p,q).
341 [binary,135.1,25.1] T(r,p,q).
448 [binary,136.1,129.1] r!=p.
449 [binary,136.1,128.1] a!=p.
457 [binary,136.1,88.1] sameside(r,p,a).
490 [binary,137.1,117.1] -T(a,p,q).
814 [binary,191.1,86.3,unit_del,52] sameside(q,p,q).
1193 [hyper,77,341,457,unit_del,448,449,490] q=p.
1196 [binary,1193.1,129.2] -sameside(x,p,q).
1197 [binary,1196.1,814.1] $F.