Sindbad~EG File Manager

Length of proof is 34.  Level of proof is 12.

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

1 [] -T(xa,xb,xc)|T(xc,xb,xa).
3 [] T(x,y,y).
6 [] -T(xa,xb,xc)| -T(xb,xa,xc)|xa=xb.
7 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xb,xc).
8 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xc,xd).
9 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xb,xc,xd).
12 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xa,xb,xd).
14 [] -T(xa,xb,xc)| -T(xb,xc,xd)|xb=xc|T(xa,xb,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 [] xa=xb| -T(xa,xb,xc)| -T(xa,xb,xd)|T(xa,xc,xd)|T(xa,xd,xc).
20 [] xa=xb| -T(xa,xb,xc)| -T(xa,xb,xd)|T(xb,xc,xd)|T(xb,xd,xc).
21 [] -T(xa,xb,xd)| -T(xa,xc,xd)|T(xa,xb,xc)|T(xa,xc,xb).
59 [] a!=c.
60 [] Col(a,b,c).
61 [] Col(a,c,p).
62 [] -Col(a,b,p).
72 [ur,6,3,59] -T(c,a,c).
77 [binary,61.1,15.1] T(a,c,p)|T(c,p,a)|T(p,a,c).
79 (heat=1) [binary,77.2,1.1] T(a,c,p)|T(p,a,c)|T(a,p,c).
81 [binary,62.1,18.1] -T(p,a,b).
82 [binary,62.1,17.1] -T(b,p,a).
83 [binary,62.1,16.1] -T(a,b,p).
84 (heat=1) [binary,81.1,1.2] -T(b,a,p).
85 (heat=1) [binary,82.1,1.2] -T(a,p,b).
89 [binary,77.1,19.3,unit_del,59] T(c,p,a)|T(p,a,c)| -T(a,c,x)|T(a,x,p)|T(a,p,x).
92 [binary,77.1,14.2,unit_del,59] T(c,p,a)|T(p,a,c)| -T(x,a,c)|T(x,a,p).
383 [binary,81.1,9.3] -T(x,p,a)| -T(x,a,b).
385 [binary,81.1,7.3] -T(p,a,x)| -T(a,b,x).
413 [binary,82.1,8.3] -T(b,x,a)| -T(x,p,a).
436 [binary,83.1,21.4,unit_del,85] -T(a,p,x)| -T(a,b,x).
441 [binary,83.1,12.3] -T(a,b,x)| -T(a,x,p).
455 (heat=1) [binary,441.1,1.2] -T(a,x,p)| -T(x,b,a).
706 [binary,383.1,92.1] -T(c,a,b)|T(p,a,c)| -T(x,a,c)|T(x,a,p).
719 (heat=1) [binary,706.1,1.2] T(p,a,c)| -T(x,a,c)|T(x,a,p)| -T(b,a,c).
749 [factor,719.2.4,unit_del,84] T(p,a,c)| -T(b,a,c).
751 (heat=1) [binary,749.1,1.1] -T(b,a,c)|T(c,a,p).
822 [binary,413.2,89.1] -T(b,c,a)|T(p,a,c)| -T(a,c,x)|T(a,x,p)|T(a,p,x).
844 (heat=1) [binary,822.1,1.2] T(p,a,c)| -T(a,c,x)|T(a,x,p)|T(a,p,x)| -T(a,c,b).
861 [factor,844.2.5,unit_del,83,85] T(p,a,c)| -T(a,c,b).
1133 [binary,751.2,20.3] -T(b,a,c)|c=a| -T(c,a,x)|T(a,x,p)|T(a,p,x).
1154 (heat=1) [binary,1133.1,1.2] c=a| -T(c,a,x)|T(a,x,p)|T(a,p,x)| -T(c,a,b).
1181 [factor,1154.2.5,unit_del,83,85] c=a| -T(c,a,b).
1192 [binary,861.1,14.1,unit_del,59] -T(a,c,b)| -T(a,c,x)|T(p,a,x).
1236 [factor,1192.1.2,unit_del,81] -T(a,c,b).
1287 (heat=1) [binary,1236.1,1.2] -T(b,c,a).
1492 [para_from,1181.1.1,72.1.3,unit_del,3] -T(c,a,b).
1617 [binary,1287.1,15.3,unit_del,60,1492] T(a,b,c).
1631 (heat=1) [binary,1617.1,1.1] T(c,b,a).
1656 [binary,79.3,436.1,unit_del,1617] T(a,c,p)|T(p,a,c).
1676 [binary,1617.1,385.2] -T(p,a,c).
1771 [binary,1656.1,455.1,unit_del,1676,1631] $F.

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