Sindbad~EG File Manager

Length of proof is 12.  Level of proof is 7.
 
---------------- PROOF ----------------
 
7 [] -T(x,y,x)|x=y.
26 [] T(xa1,xa1,xb1).
32 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xa,xb,xd).
37 [] T(xa,xb,ext(xa,xb,alpha,gamma)).
38 [] xb!=ext(xa,xb,alpha,gamma).
47 [] -Col(xa,xb,xc)|Col(xc,xa,xb).
52 [] Col(xa,xb,xa).
86 [] sameside(xa,xp,xb)| -Col(xa,xp,xb)|T(xa,xp,xb).
98 [] xp=xq|xp=xr| -T(xq,xp,xr)|xa!=xp|Col(xa,xp,xq).
109 [] M(xa,xm,xa)|xm!=xa.
137 [] -R(xa,xb,xc)| -R(xa,xc,xb)|xb=xc.
158 [] xa=xb| -Col(xa,xb,xp)| -Col(xa,xb,xq)|xq=xp|R(xc,xp,xq)| -perp(xa,xb,xc,xp).
182 [] Col(xa,xb,xc)| -T(xc,xa,xb).
192 [] -sameside(xa,xp,xb)|xb!=xp.
196 [] -M(xa,xm,xb)|T(xa,xm,xb).
219 [] -Col(a,b,c).
220 [] Col(a,b,p).
221 [] Col(a,b,q).
222 [] perp(a,b,c,p).
223 [] perp(a,b,c,q).
224 [] p!=q.
227 [binary,219.1,182.1] -T(c,a,b).
241 [binary,219.1,47.2] -Col(b,c,a).
473 [binary,224.1,7.2] -T(p,q,p).
569 [ur,32,26,227] -T(c,a,c).
1549 [binary,473.1,196.2] -M(p,q,p).
1688 [binary,569.1,86.3,unit_del,52] sameside(c,a,c).
2456 [binary,1549.1,109.1] q!=p.
3046 [binary,1688.1,192.1] c!=a.
3114 [ur,98,3046,38,37,241] b!=c.
3231 [ur,98,3114,38,37,219] a!=b.
3351 [ur,158,3231,221,220,224,223] R(c,q,p).
3352 [ur,158,3231,220,221,2456,222] R(c,p,q).
4737 [binary,3351.1,137.2,unit_del,3352,224] $F.