Sindbad~EG File Manager

Length of proof is 42.  Level of proof is 17.

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

1 [] -T(xa,xb,xc)|T(xc,xb,xa).
5 [] T(xa,xa,xb).
9 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xb,xc,xd).
15 [] -Col(xa,xb,xc)|T(xa,xb,xc)|T(xb,xc,xa)|T(xc,xa,xb).
16 [] Col(xa,xb,xc)| -T(xa,xb,xc).
17 [] Col(xa,xb,xc)| -T(xb,xc,xa).
18 [] Col(xa,xb,xc)| -T(xc,xa,xb).
19 [] -Col(x,y,z)|Col(y,z,x).
20 [] Col(x,x,y).
24 [] -Col(xa,xb,v)|xa=xb| -Col(xa,v,z)|xa=v|Col(xa,xb,z).
33 [] a!=b.
34 [] c!=d.
35 [] Col(a,b,c).
36 [] Col(a,b,d).
37 [] Col(c,d,p).
38 [] -Col(a,b,p).
49 [binary,35.1,24.3,unit_del,33] -Col(a,x,b)|a=x|Col(a,x,c).
50 [binary,35.1,24.1,unit_del,33] -Col(a,c,x)|a=c|Col(a,b,x).
57 [binary,36.1,24.1,unit_del,33] -Col(a,d,x)|a=d|Col(a,b,x).
59 [binary,36.1,15.1] T(a,b,d)|T(b,d,a)|T(d,a,b).
62 (heat=1) [binary,59.3,1.1] T(a,b,d)|T(b,d,a)|T(b,a,d).
63 [binary,37.1,24.3,unit_del,34] -Col(c,x,d)|c=x|Col(c,x,p).
72 [binary,38.1,18.1] -T(p,a,b).
143 [ur,9,5,72] -T(a,p,a).
264 [binary,50.3,38.1] -Col(a,c,p)|a=c.
929 [binary,264.1,19.2] a=c| -Col(p,a,c).
931 [binary,264.1,17.1] a=c| -T(c,p,a).
995 [para_from,264.2.2,34.1.1] a!=d| -Col(a,c,p).
1003 [binary,929.2,19.2] a=c| -Col(c,p,a).
1074 [binary,57.3,38.1] -Col(a,d,p)|a=d.
1336 [para_from,931.1.1,143.1.3] -T(a,p,c)| -T(c,p,a).
1343 (heat=1) [binary,1336.2,1.2,factor_simp] -T(a,p,c).
2592 [para_from,1003.1.1,995.2.1,unit_del,20] a!=d| -Col(c,p,a).
3089 [para_into,1074.1.1,1003.1.1,unit_del,37] a=d| -Col(c,p,a).
5194 [binary,3089.1,2592.1,factor_simp] -Col(c,p,a).
5207 [binary,5194.1,18.1] -T(a,c,p).
5208 [binary,5194.1,17.1] -T(p,a,c).
5209 (heat=1) [binary,5207.1,1.2] -T(p,c,a).
5210 (heat=1) [binary,5208.1,1.2] -T(c,a,p).
5583 [binary,5209.1,15.4,unit_del,5210,1343] -Col(c,a,p).
5700 [binary,5583.1,63.3] -Col(c,a,d)|c=a.
6169 [para_from,5700.2.1,5583.1.1,unit_del,20] -Col(c,a,d).
6170 [binary,6169.1,19.2] -Col(d,c,a).
6171 [binary,6169.1,18.1] -T(d,c,a).
6172 [binary,6169.1,17.1] -T(a,d,c).
6173 [binary,6169.1,16.1] -T(c,a,d).
6174 (heat=1) [binary,6171.1,1.2] -T(a,c,d).
6175 (heat=1) [binary,6172.1,1.2] -T(c,d,a).
6176 (heat=1) [binary,6173.1,1.2] -T(d,a,c).
6191 [binary,6170.1,19.2] -Col(a,d,c).
6508 [binary,6174.1,15.3,unit_del,6176,6175] -Col(d,a,c).
6549 [binary,6191.1,49.3] -Col(a,d,b)|a=d.
6672 [para_from,6549.2.1,6508.1.2,unit_del,20] -Col(a,d,b).
6675 [binary,6672.1,18.1] -T(b,a,d).
6676 [binary,6672.1,17.1] -T(d,b,a).
6677 [binary,6672.1,16.1] -T(a,d,b).
6679 (heat=1) [binary,6676.1,1.2] -T(a,b,d).
6680 (heat=1) [binary,6677.1,1.2] -T(b,d,a).
6781 [binary,6675.1,62.3,unit_del,6679,6680] $F.

------------ end of proof -------------