Sindbad~EG File Manager

Length of proof is 16.  Level of proof is 5.
 
---------------- PROOF ----------------
 
22 [] -E(xa,xb,xc,xd)|E(xb,xa,xd,xc).
45 [] -T(xa,xb,xc)| -E3(xa,xb,xc,xa1,xb1,xc1)|T(xa1,xb1,xc1).
68 [] -E3(xa1,xa2,xa3,xb1,xb2,xb3)|E(xa1,xa2,xb1,xb2).
69 [] -E3(xa1,xa2,xa3,xb1,xb2,xb3)|E(xa1,xa3,xb1,xb3).
70 [] -E3(xa1,xa2,xa3,xb1,xb2,xb3)|E(xa2,xa3,xb2,xb3).
71 [] -E(xa1,xa2,xb1,xb2)| -E(xa1,xa3,xb1,xb3)| -E(xa2,xa3,xb2,xb3)|E3(xa1,xa2,xa3,xb1,xb2,xb3).
72 [] -Col(xa,xb,xc)|T(xa,xb,xc)|T(xb,xc,xa)|T(xc,xa,xb).
73 [] Col(xa,xb,xc)| -T(xa,xb,xc).
74 [] Col(xa,xb,xc)| -T(xb,xc,xa).
75 [] Col(xa,xb,xc)| -T(xc,xa,xb).
81 [] Col(a,b,c).
82 [] E3(a,b,c,a1,b1,c1).
83 [] -Col(a1,b1,c1).
84 [binary,81.1,72.1] T(a,b,c)|T(b,c,a)|T(c,a,b).
91 [binary,82.1,70.1] E(b,c,b1,c1).
92 [binary,82.1,69.1] E(a,c,a1,c1).
93 [binary,82.1,68.1] E(a,b,a1,b1).
95 [binary,83.1,75.1] -T(c1,a1,b1).
96 [binary,83.1,74.1] -T(b1,c1,a1).
97 [binary,83.1,73.1] -T(a1,b1,c1).
132 [binary,84.3,45.1] T(a,b,c)|T(b,c,a)| -E3(c,a,b,x,y,z)|T(x,y,z).
359 [ur,45,82,97] -T(a,b,c).
381 [binary,91.1,22.1] E(c,b,c1,b1).
434 [binary,92.1,22.1] E(c,a,c1,a1).
521 [binary,93.1,22.1] E(b,a,b1,a1).
1230 [hyper,71,434,381,93] E3(c,a,b,c1,a1,b1).
1524 [hyper,71,91,521,434] E3(b,c,a,b1,c1,a1).
2538 [binary,132.4,95.1,unit_del,359,1230] T(b,c,a).
2694 [ur,45,2538,96] -E3(b,c,a,b1,c1,a1).
2695 [binary,2694.1,1524.1] $F.