Sindbad~EG File Manager

Length of proof is 21.  Level of proof is 7.

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

21 [] -T(xa,xb,xc)|T(xc,xb,xa).
52 [] -Col(xa,xb,xc)|T(xa,xb,xc)|T(xb,xc,xa)|T(xc,xa,xb).
53 [] Col(xa,xb,xc)| -T(xa,xb,xc).
54 [] Col(xa,xb,xc)| -T(xb,xc,xa).
55 [] Col(xa,xb,xc)| -T(xc,xa,xb).
56 [] Col(a,b,c).
57 [] -Col(b,c,a)| -Col(c,a,b)| -Col(c,b,a)| -Col(b,a,c)| -Col(a,c,b).
58 [hyper,52,56] T(a,b,c)|T(b,c,a)|T(c,a,b).
59 [hyper,55,58] T(b,c,a)|T(c,a,b)|Col(b,c,a).
60 [hyper,54,58] T(b,c,a)|T(c,a,b)|Col(c,a,b).
76 [hyper,21,58] T(b,c,a)|T(c,a,b)|T(c,b,a).
144 [hyper,53,59] T(c,a,b)|Col(b,c,a).
146 [hyper,54,144] Col(b,c,a).
147 [hyper,55,60] T(c,a,b)|Col(c,a,b).
149 [hyper,53,147] Col(c,a,b).
165 [hyper,21,76] T(c,a,b)|T(c,b,a)|T(a,c,b).
440 [hyper,55,165] T(c,a,b)|T(a,c,b)|Col(b,a,c).
441 [hyper,54,165] T(c,a,b)|T(a,c,b)|Col(a,c,b).
442 [hyper,53,165] T(c,a,b)|T(a,c,b)|Col(c,b,a).
1399 [hyper,54,440] T(c,a,b)|Col(b,a,c).
1457 [hyper,21,1399] Col(b,a,c)|T(b,a,c).
1470 [hyper,53,1457] Col(b,a,c).
1497 [hyper,53,441] T(c,a,b)|Col(a,c,b).
1530 [hyper,21,1497] Col(a,c,b)|T(b,a,c).
1541 [hyper,55,1530] Col(a,c,b).
1567 [hyper,55,442] T(c,a,b)|Col(c,b,a).
1600 [hyper,21,1567] Col(c,b,a)|T(b,a,c).
1611 [hyper,54,1600] Col(c,b,a).
1612 [hyper,57,146,149,1611,1470,1541] $F.