Sindbad~EG File Manager

Length of proof is 23.  Level of proof is 8.

---------------- PROOF ----------------

2 [] -E(x,y,z,v)| -E(x,y,z2,v2)|E(z,v,z2,v2).
7 [] -T(x,y,x)|x=y.
22 [] -E(xa,xb,xc,xd)|E(xb,xa,xd,xc).
57 [] -T(xa,xc,xb)| -E(xa,xc,xa,xc1)| -E(xb,xc,xb,xc1)|xc=xc1.
107 [] M(xa,xm,xa)|xm!=xa.
108 [] M(xp,xa,s(xa,xp)).
114 [] s(xa,xp)!=xp|xp=xa.
121 [] -M(xp,xa,xq)| -M(xp,xb,xq)|xa=xb.
130 [] -R(xa,xb,xc)|R(xc,xb,xa).
131 [] -R(xa,xb,xc)|xa=xb| -Col(xb,xa,xa1)|R(xa1,xb,xc).
155 [] Col(xa,xb,xc)| -T(xa,xb,xc).
171 [] -M(xa,xm,xb)|T(xa,xm,xb).
172 [] -M(xa,xm,xb)|E(xm,xa,xm,xb).
181 [] -R(xa,xb,xc)|E(xa,xc,xa,s(xb,xc)).
194 [] R(a,b,c).
195 [] R(a,c,b).
196 [] b!=c.
197 [] c1=s(b,c).
198 [] a1=s(c,a).
199 [] s(b,c)=c1.
200 [] s(c,a)=a1.
211 [binary,194.1,181.1,demod,199] E(a,c,a,c1).
222 [binary,195.1,130.1] R(b,c,a).
228 [binary,196.1,131.2] -R(b,c,x)| -Col(c,b,y)|R(y,c,x).
261 [binary,196.1,7.2] -T(b,c,b).
313 [binary,197.1,107.2,demod,199,199] M(c1,c1,c1).
347 [para_from,197.1.2,108.1.3] M(c,b,c1).
387 [para_from,198.1.2,108.1.3] M(a,c,a1).
404 [binary,211.1,22.1] E(c,a,c1,a).
560 [binary,261.1,171.2] -M(b,c,b).
766 [binary,347.1,171.1] T(c,b,c1).
804 [binary,387.1,172.1] E(c,a,c,a1).
805 [binary,387.1,171.1] T(a,c,a1).
886 [binary,560.1,107.1] c!=b.
898 [binary,886.1,114.2,demod,199] c1!=c.
1011 [ur,121,313,898] -M(c1,c,c1).
1294 [binary,766.1,155.2] Col(c,b,c1).
1975 [binary,1011.1,107.1] c!=c1.
2049 [ur,57,805,211,1975] -E(a1,c,a1,c1).
2763 [hyper,228,222,1294] R(c1,c,a).
5569 [binary,2763.1,181.1,demod,200] E(c1,a,c1,a1).
25177 [hyper,2,404,804] E(c1,a,c,a1).
28016 [binary,2049.1,22.2] -E(c,a1,c1,a1).
58690 [hyper,2,25177,5569] E(c,a1,c1,a1).
58691 [binary,58690.1,28016.1] $F.