Sindbad~EG File Manager

Length of proof is 30.  Level of proof is 5.
 
---------------- PROOF ----------------
 
1 [] E(x,y,y,x).
2 [] -E(x,y,z,v)| -E(x,y,z2,v2)|E(z,v,z2,v2).
6 [] -E(x,y,x1,y1)| -E(y,z,y1,z1)| -E(x,v,x1,v1)| -E(y,v,y1,v1)| -T(x,y,z)| -T(x1,y1,z1)|x=y|E(z,v,z1,v1).
14 [] -E(xa,xb,xc,xd)|E(xc,xd,xa,xb).
15 [] -E(xa,xb,xc,xd)| -E(xc,xd,xe,xf)|E(xa,xb,xe,xf).
16 [] -E(xa,xb,xc,xd)|E(xb,xa,xc,xd).
22 [] -E(xa,xb,xc,xd)|E(xb,xa,xd,xc).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
107 [] -M(xa,xm,xb)|M(xb,xm,xa).
110 [] M(xp,xa,s(xa,xp)).
117 [] s(xa,xp)=xp|xp!=xa.
155 [] -E3(xa1,xa2,xa3,xb1,xb2,xb3)|E(xa1,xa2,xb1,xb2).
156 [] -E3(xa1,xa2,xa3,xb1,xb2,xb3)|E(xa1,xa3,xb1,xb3).
157 [] -E3(xa1,xa2,xa3,xb1,xb2,xb3)|E(xa2,xa3,xb2,xb3).
176 [] -M(xa,xm,xb)|T(xa,xm,xb).
177 [] -M(xa,xm,xb)|E(xm,xa,xm,xb).
186 [] -R(xa,xb,xc)|E(xa,xc,xa,s(xb,xc)).
187 [] R(xa,xb,xc)| -E(xa,xc,xa,s(xb,xc)).
199 [] R(a,b,c).
200 [] E3(a,b,c,a1,b1,c1).
201 [] -R(a1,b1,c1).
202 [] d=s(b,c).
203 [] d1=s(b1,c1).
204 [] s(b,c)=d.
205 [] s(b1,c1)=d1.
206 [binary,199.1,186.1,demod,204] E(a,c,a,d).
216 [binary,200.1,157.1] E(b,c,b1,c1).
217 [binary,200.1,156.1] E(a,c,a1,c1).
218 [binary,200.1,155.1] E(a,b,a1,b1).
222 [binary,201.1,187.1,demod,205] -E(a1,c1,a1,d1).
268 [para_from,202.1.2,110.1.3] M(c,b,d).
276 [para_into,203.1.2,117.1.1] d1=c1|c1!=b1.
308 [para_from,203.1.2,110.1.3] M(c1,b1,d1).
337 [binary,206.1,22.1] E(c,a,d,a).
507 [binary,268.1,177.1] E(b,c,b,d).
508 [binary,268.1,176.1] T(c,b,d).
551 [binary,308.1,176.1] T(c1,b1,d1).
554 [binary,308.1,107.1] M(d1,b1,c1).
669 [binary,508.1,25.1] T(d,b,c).
1047 [binary,554.1,177.1] E(b1,d1,b1,c1).
1163 [binary,216.1,22.1] E(c,b,c1,b1).
1171 [binary,216.1,14.1] E(b1,c1,b,c).
1367 [binary,217.1,22.1] E(c,a,c1,a1).
1372 [binary,217.1,16.1] E(c,a,a1,c1).
1654 [binary,218.1,22.1] E(b,a,b1,a1).
2448 [ur,2,1,222] -E(d1,a1,a1,c1).
2449 [ur,2,217,222] -E(a,c,a1,d1).
3488 [binary,507.1,22.1] E(c,b,d,b).
5288 [hyper,15,1047,1171] E(b1,d1,b,c).
5703 [hyper,2,1367,337] E(c1,a1,d,a).
6987 [binary,1654.1,14.1] E(b1,a1,b,a).
8190 [ur,15,1372,2448] -E(d1,a1,c,a).
9273 [hyper,2,1163,3488] E(c1,b1,d,b).
15297 [para_from,276.1.1,2449.1.4,unit_del,217] c1!=b1.
22502 [ur,6,5288,5703,6987,551,669,15297,8190] -E(c1,b1,d,b).
22503 [binary,22502.1,9273.1] $F.