Sindbad~EG File Manager

Length of proof is 36.  Level of proof is 11.
 
---------------- PROOF ----------------
 
1 [] E(x,y,y,x).
7 [] -T(x,y,x)|x=y.
18 [] E(xa,xa,xb,xb).
51 [] Col(xa,xa,xb).
52 [] Col(xa,xb,xa).
102 [] xp=xq| -Col(xp,xq,xr)|Col(xq,xp,xr).
103 [] xa=xb|xp=xq| -Col(xp,xq,xa)| -Col(xp,xq,xb)| -Col(xp,xq,xr)|Col(xa,xb,xr).
104 [] xa=xb|xp=xq| -Col(xa,xb,xc)| -Col(xp,xq,xc)| -Col(xa,xb,xd)| -Col(xp,xq,xd)|xc=xd| -Col(xa,xb,xe)|Col(xp,xq,xe).
105 [] xa=xb| -Col(xa,xb,pointOffLine(xa,xb)).
109 [] M(xa,xm,xa)|xm!=xa.
111 [] -M(xp,xa,xr)| -M(xp,xa,xq)|xr=xq.
127 [] Col(xa,xb,xc)|xb=xd| -E(xa,xb,xc,xd)| -E(xb,xc,xd,xa)| -Col(xa,xp,xc)| -Col(xb,xp,xd)|M(xa,xp,xc).
141 [] -perpAt(xa,xb,xc,xp,xq)|perpAt(xp,xq,xc,xa,xb).
152 [] xa=xb|xp=xq| -Col(xp,xq,xcx)| -Col(xa,xb,xcx)| -Col(xa,xb,u)| -Col(xp,xq,v)|xcx=u|xcx=v| -R(u,xcx,v)|perpAt(xa,xb,xcx,xp,xq).
154 [] -perp(xa,xb,xp,xq)| -Col(xa,xb,xc)| -Col(xp,xq,xc)|perpAt(xa,xb,xc,xp,xq).
166 [] xa=xb|xc=xd| -Col(xa,xb,xc)| -Col(xa,xb,xd)| -Col(xc,xd,xp)|Col(xa,xb,xp).
215 [] -M(xa,xm,xb)|T(xa,xm,xb).
227 [] -perpAt(y,z,x,y1,z1)|Col(y,z,x).
228 [] -perpAt(y,z,x,y1,z1)|Col(y1,z1,x).
230 [] -perpAt(y,z,x,y1,z1)|y1!=z1.
231 [] -perpAt(y,z,x,y1,z1)| -Col(y,z,u)| -Col(y1,z1,v)|R(u,x,v).
236 [] perp(xp,xq,xp1,xq1)| -perpAt(xp,xq,x,xp1,xq1).
238 [] Col(a,b,p).
239 [] Col(a,b,q).
240 [] p!=q.
241 [] a!=b.
242 [] perpAt(p,q,r,c,d).
243 [] -perpAt(a,b,r,c,d).
287 [binary,238.1,102.2,unit_del,241] Col(b,a,p).
303 [binary,239.1,102.2,unit_del,241] Col(b,a,q).
314 [hyper,104,51,238,51,239,51,unit_del,241,240] x=x|Col(a,b,y).
317 [hyper,103,238,239,52,unit_del,240,241] Col(p,q,a).
377 [binary,241.1,7.2] -T(a,b,a).
402 [binary,242.1,230.1] c!=d.
403 [binary,242.1,228.1] Col(c,d,r).
404 [binary,242.1,227.1] Col(p,q,r).
408 [binary,242.1,141.1] perpAt(c,d,r,p,q).
413 [binary,243.1,141.2] -perpAt(c,d,r,a,b).
443 [binary,314.2,105.2,unit_del,241] x=x.
467 [binary,377.1,215.2] -M(a,b,a).
489 [binary,402.1,7.2] -T(c,d,c).
494 [ur,102,402,52] Col(d,c,c).
552 [hyper,166,238,239,404,unit_del,241,240] Col(a,b,r).
571 [hyper,231,408,52,317] R(c,r,a).
573 [binary,413.1,154.4,unit_del,403,552] -perp(c,d,a,b).
577 [binary,443.1,109.2] M(x,x,x).
596 [binary,467.1,109.1] b!=a.
598 [binary,489.1,215.2] -M(c,d,c).
653 [binary,573.1,236.1] -perpAt(c,d,x,a,b).
686 [ur,111,577,402] -M(c,c,d).
705 [ur,104,596,241,287,238,303,239,240,52] Col(a,b,b).
706 [ur,103,240,596,287,303,52] Col(p,q,b).
729 [binary,598.1,109.1] d!=c.
777 [hyper,231,408,52,706] R(c,r,b).
798 [ur,127,729,1,18,51,494,686] Col(c,d,d).
830 [hyper,231,408,798,706] R(d,r,b).
831 [hyper,231,408,798,317] R(d,r,a).
845 [hyper,152,552,403,798,705,830,unit_del,402,241,653] r=d|r=b.
850 [hyper,152,552,403,798,52,831,unit_del,402,241,653] r=d|r=a.
895 [para_into,850.2.1,845.2.1,unit_del,596,factor_simp] r=d.
912 [para_from,895.1.2,729.1.1] r!=c.
936 [ur,152,402,241,552,403,52,705,912,777,653] r=b.
937 [ur,152,402,241,552,403,52,52,912,571,653] r=a.
987 [para_from,936.1.2,596.1.1] r!=a.
988 [binary,987.1,937.1] $F.