Sindbad~EG File Manager

Length of proof is 30.  Level of proof is 8.

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

1 [] E(a,b,a1,b1).
2 [] E(a,c,a1,c1).
4 [] sameside(b,a,c).
6 [] -E(b,c,b1,c1).
13 [] E(x,y,y,x).
14 [] -E(x,y,z,v)| -E(x,y,z2,v2)|E(z,v,z2,v2).
33 [] E(x,y,x,y).
34 [] -E(xa,xb,xc,xd)|E(xc,xd,xa,xb).
35 [] -E(xa,xb,xc,xd)|E(xb,xa,xc,xd).
37 [] -E(xa,xb,xc,xd)|E(xa,xb,xd,xc).
38 [] E(x,x,y,y).
42 [] -T(xa,xb,xc)|T(xc,xb,xa).
53 [] -IFS(xa,xb,xc,xd,xa1,xb1,xc1,xd1)|E(xb,xd,xb1,xd1).
67 [] -T(xa,xb,xc)| -T(za,zb,zc)| -E(xa,xc,za,zc)| -E(xb,xc,zb,zc)| -E(xa,xd,za,zd)| -E(xc,xd,zc,zd)|IFS(xa,xb,xc,xd,za,zb,zc,zd).
76 [] -Col(xa,xb,xc)|T(xa,xb,xc)|T(xb,xc,xa)|T(xc,xa,xb).
84 [] -Col(x,y,z)|Col(x,z,y).
100 [] -T(xc,y,xd)| -E(xa,xb,xc,y)|le(xa,xb,xc,xd).
106 [] -le(xa,xb,xc,xd)| -E(xa,xb,xa1,xb1)| -E(xc,xd,xc1,xd1)|le(xa1,xb1,xc1,xd1).
110 [] le(xa,xb,xc,xd)|le(xc,xd,xa,xb).
125 [] -sameside(xa,xp,xb)|Col(xa,xp,xb).
126 [] -sameside(xa,xp,xb)| -T(xa,xp,xb).
129 [] -sameside(xa,xp,xb)|sameside(xb,xp,xa).
134 [] -sameside(xa,xp,xb)| -le(xp,xa,xp,xb)|T(xp,xa,xb).
312 [] E(a,b,a1,b1).
313 [] E(a,c,a1,c1).
315 [] sameside(b,a,c).
316 [] sameside(b1,a1,c1).
317 [] -E(b,c,b1,c1).
318 [] T(a,b,c)| -T(a,b,c).
319 [binary,14.2,13.1] -E(x,y,z,u)|E(z,u,y,x).
334 [binary,37.1,35.2] E(x,y,z,u)| -E(y,x,u,z).
335 (heat=1) [binary,334.1,6.1] -E(c,b,c1,b1).
336 (heat=1) [binary,334.2,2.1] E(c,a,c1,a1).
337 (heat=1) [binary,334.2,1.1] E(b,a,b1,a1).
486 [binary,100.2,33.1] -T(x,y,z)|le(x,y,x,z).
540 [binary,125.2,84.1] -sameside(x,y,z)|Col(x,z,y).
546 (heat=1) [binary,540.1,4.1] Col(b,c,a).
562 [binary,126.2,42.2] -sameside(x,y,z)| -T(z,y,x).
565 (heat=1) [binary,562.1,4.1] -T(c,a,b).
974 [binary,313.1,34.1] E(a1,c1,a,c).
982 [hyper,106,110,313,312] le(a1,c1,a1,b1)|le(a,b,a,c).
1063 [binary,316.1,129.1] sameside(c1,a1,b1).
1098 [binary,317.1,34.2] -E(b1,c1,b,c).
1116 [binary,318.2,76.4,unit_del,546,565] T(a,b,c)|T(b,c,a).
1118 [binary,319.1,37.2] E(x,y,z,u)| -E(u,z,y,x).
1120 (heat=1) [binary,1118.2,2.1] E(c1,a1,c,a).
1121 (heat=1) [binary,1118.2,1.1] E(b1,a1,b,a).
1169 [binary,335.1,53.2] -IFS(x,c,y,b,z,c1,u,b1).
1466 [binary,982.2,134.2,unit_del,315] le(a1,c1,a1,b1)|T(a,b,c).
1532 [binary,1098.1,53.2] -IFS(x,b1,y,c1,z,b,u,c).
1721 [binary,1466.1,134.2,unit_del,1063] T(a,b,c)|T(a1,c1,b1).
1755 [binary,1721.2,42.1] T(a,b,c)|T(b1,c1,a1).
1810 [hyper,67,1116,1755,337,336,38,312,unit_del,1169,factor_simp] T(a,b,c).
1812 [binary,1810.1,486.1] le(a,b,a,c).
1828 [binary,1810.1,42.1] T(c,b,a).
1976 [hyper,106,1812,312,313] le(a1,b1,a1,c1).
2087 [ur,67,1828,1120,1121,38,974,1532] -T(c1,b1,a1).
2152 [binary,1976.1,134.2,unit_del,316] T(a1,b1,c1).
2200 [binary,2087.1,42.2] -T(a1,b1,c1).
2201 [binary,2200.1,2152.1] $F.