Sindbad~EG File Manager

Length of proof is 15.  Level of proof is 7.
 
---------------- PROOF ----------------
 
7 [] -T(x,y,x)|x=y.
47 [] -Col(xa,xb,xc)|Col(xb,xc,xa).
48 [] -Col(xa,xb,xc)|Col(xc,xa,xb).
50 [] -Col(xa,xb,xc)|Col(xb,xa,xc).
103 [] xp=xq| -Col(xp,xq,xr)|Col(xq,xp,xr).
108 [] -M(xa,xm,xb)|M(xb,xm,xa).
109 [] -M(xa,xm,xa)|xm=xa.
110 [] M(xa,xm,xa)|xm!=xa.
167 [] xa=xb|xc=xd| -Col(xa,xb,xc)| -Col(xa,xb,xd)| -Col(xc,xd,xp)|Col(xa,xb,xp).
225 [] Col(xa,xb,xc)| -T(xb,xc,xa).
240 [] -M(xa,xm,xb)|T(xa,xm,xb).
280 [] a!=b.
281 [] M(cu,cv,cw).
282 [] Col(a,b,cu).
283 [] Col(a,b,cw).
284 [] -Col(a,b,cv).
351 [binary,280.1,7.2] -T(a,b,a).
417 [binary,281.1,240.1] T(cu,cv,cw).
423 [binary,281.1,108.1] M(cw,cv,cu).
467 [binary,282.1,103.2,unit_del,280] Col(b,a,cu).
479 [binary,282.1,48.1] Col(cu,a,b).
629 [binary,283.1,103.2,unit_del,280] Col(b,a,cw).
830 [binary,284.1,50.2] -Col(b,a,cv).
833 [binary,284.1,47.2] -Col(cv,a,b).
987 [binary,351.1,240.2] -M(a,b,a).
1111 [binary,417.1,225.2] Col(cw,cu,cv).
4129 [binary,987.1,110.1] b!=a.
4859 [hyper,167,629,467,1111,unit_del,4129,830] cw=cu.
4934 [para_from,4859.1.1,423.1.1] M(cu,cv,cu).
10282 [binary,4934.1,109.1] cv=cu.
10419 [para_from,10282.1.1,833.1.1] -Col(cu,a,b).
10420 [binary,10419.1,479.1] $F.