Sindbad~EG File Manager

Length of proof is 10.  Level of proof is 6.
 
---------------- PROOF ----------------
 
7 [] -T(x,y,x)|x=y.
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
77 [] xa=xp|xb=xp|xc=xp| -T(xa,xp,xc)|T(xb,xp,xc)| -sameside(xa,xp,xb).
105 [] Col(xa,xb,xc)| -T(xb,xc,xa).
106 [] Col(xa,xb,xc)| -T(xc,xa,xb).
115 [] -sameside(xa,xp,xb)|xa!=xp.
116 [] -sameside(xa,xp,xb)|xb!=xp.
117 [] -sameside(xa,xp,xb)|T(xp,xa,xb)|T(xp,xb,xa).
120 [] sameside(a,p,b).
121 [] -Col(a,p,b)|T(a,p,b).
122 [binary,120.1,117.1] T(p,a,b)|T(p,b,a).
123 [binary,120.1,116.1] b!=p.
124 [binary,120.1,115.1] a!=p.
198 [binary,123.1,7.2] -T(b,p,b).
547 [ur,77,124,123,123,198,120] -T(a,p,b).
889 [binary,547.1,121.2] -Col(a,p,b).
1009 [binary,889.1,106.1] -T(b,a,p).
1010 [binary,889.1,105.1] -T(p,b,a).
1055 [binary,1009.1,25.2] -T(p,a,b).
1076 [binary,1010.1,122.2] T(p,a,b).
1077 [binary,1076.1,1055.1] $F.