Sindbad~EG File Manager

Length of proof is 21.  Level of proof is 9.
 
---------------- PROOF ----------------
 
22 [] -E(xa,xb,xc,xd)|E(xb,xa,xd,xc).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
42 [] -T(xa,xb,xc)| -T(xa1,xb1,xc1)| -E(xa,xc,xa1,xc1)| -E(xb,xc,xb1,xc1)|E(xa,xb,xa1,xb1).
66 [] -le(xa,xb,xc,xd)| -E(xa,xb,xa1,xb1)| -E(xc,xd,xc1,xd1)|le(xa1,xb1,xc1,xd1).
70 [] le(xa,xb,xc,xd)|le(xc,xd,xa,xb).
88 [] -sameside(xa,xp,xb)|sameside(xb,xp,xa).
93 [] -sameside(xa,xp,xb)| -le(xp,xa,xp,xb)|T(xp,xa,xb).
94 [] -sameside(xa,xp,xb)|le(xp,xa,xp,xb)| -T(xp,xa,xb).
139 [] -sameside(xa,xp,xb)|T(xp,xa,xb)|T(xp,xb,xa).
142 [] sameside(a,b,c).
143 [] sameside(a1,b1,c1).
144 [] E(b,a,b1,a1).
145 [] E(b,c,b1,c1).
146 [] -E(a,c,a1,c1).
169 [binary,142.1,139.1] T(b,a,c)|T(b,c,a).
172 [binary,142.1,94.1] le(b,a,b,c)| -T(b,a,c).
183 [hyper,93,142,70] T(b,a,c)|le(b,c,b,a).
191 [binary,143.1,88.1] sameside(c1,b1,a1).
201 [binary,144.1,66.3] -le(x,y,b,a)| -E(x,y,z,u)|le(z,u,b1,a1).
202 [binary,144.1,22.1] E(a,b,a1,b1).
217 [binary,145.1,22.1] E(c,b,c1,b1).
234 [binary,146.1,42.5] -T(a,c,x)| -T(a1,c1,y)| -E(a,x,a1,y)| -E(c,x,c1,y).
235 [binary,146.1,22.2] -E(c,a,c1,a1).
249 [binary,169.2,25.1] T(b,a,c)|T(a,c,b).
290 [binary,201.2,145.1] -le(b,c,b,a)|le(b1,c1,b1,a1).
349 [binary,290.1,183.2] le(b1,c1,b1,a1)|T(b,a,c).
350 [binary,349.1,93.2,unit_del,191] T(b,a,c)|T(b1,c1,a1).
362 [binary,350.2,25.1] T(b,a,c)|T(a1,c1,b1).
370 [hyper,234,249,362,202,217,factor_simp] T(b,a,c).
371 [binary,370.1,172.2] le(b,a,b,c).
385 [binary,370.1,25.1] T(c,a,b).
400 [hyper,66,371,144,145] le(b1,a1,b1,c1).
443 [ur,42,385,217,202,235] -T(c1,a1,b1).
445 [binary,400.1,93.2,unit_del,143] T(b1,a1,c1).
459 [binary,443.1,25.2] -T(b1,a1,c1).
460 [binary,459.1,445.1] $F.