I've finished to run exhausted bellman search for Kazyan catalyst, in hope to find anything that will remove the residual block, without success. Nevertheless there are pretty interesting eaters there, that might be of interest. See attached file.
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@RULE LifeBellman
@TABLE
# state 0: OFF
# state 1: ON
# state 2: History ON now OFF
# state 3: Catalyst ON
# state 4: Catalyst OFF
# state 5: Catalyst UNKNOWN
n_states:6
neighborhood:Moore
symmetries:rotate8
var a={0,2,4,5}
var b={0,2,4,5}
var c={0,2,4,5}
var d={0,2,4,5}
var e={0,2,4,5}
var f={0,2,4,5}
var g={3}
var h={0,1,2,5}
var i={0,1,2,3,4,5}
var j={0,1,2,3,4,5}
var k={0,1,2,3,4,5}
var l={0,1,2,3,4,5}
var m={0,1,2,3,4,5}
var n={0,1,2,3,4,5}
var o={0,1,2,3,4,5}
var p={0,1,2,3,4,5}
var i1={0,1,2,3,4,5}
var j1={0,1,2,3,4,5}
var k1={0,1,2,3,4,5}
var l1={0,1,2,3,4,5}
var m1={0,1,2,3,4,5}
var n1={0,1,2,3,4,5}
var o1={0,1,2,3,4,5}
var p1={0,1,2,3,4,5}
var q={1,3}
var R={1,3}
var S={1,3}
var T={1,3}
var u={3,4}
# Catalyst-doesn't change with unknown neighbour
3,5,i,j,k,l,m,n,o,3
5,3,i1,j1,k1,l1,m1,n1,o1,5
0,5,3,j1,k1,l1,m1,n1,o1,0
0,5,j1,3,k1,l1,m1,n1,o1,0
0,5,j1,k1,3,l1,m1,n1,o1,0
0,5,j1,k1,l1,3,m1,n1,o1,0
0,5,j1,k1,l1,m1,3,n1,o1,0
# Catalyst-neighbour birth
4,R,S,T,a,b,c,d,e,3
4,R,S,a,T,b,c,d,e,3
4,R,S,a,b,T,c,d,e,3
4,R,S,a,b,c,T,d,e,3
4,R,S,a,b,c,d,T,e,3
4,R,a,S,b,T,c,d,e,3
4,R,a,S,b,c,T,d,e,3
# Catalyst-neighbour survival
g,R,S,T,a,b,c,d,e,g
g,R,S,a,T,b,c,d,e,g
g,R,S,a,b,T,c,d,e,g
g,R,S,a,b,c,T,d,e,g
g,R,S,a,b,c,d,T,e,g
g,R,a,S,b,T,c,d,e,g
g,R,a,S,b,c,T,d,e,g
# normal 3-neighbour birth
h,R,S,T,a,b,c,d,e,1
h,R,S,a,T,b,c,d,e,1
h,R,S,a,b,T,c,d,e,1
h,R,S,a,b,c,T,d,e,1
h,R,S,a,b,c,d,T,e,1
h,R,a,S,b,T,c,d,e,1
h,R,a,S,b,c,T,d,e,1
# 2-neighbour survival
q,R,S,a,b,c,d,e,f,q
q,R,a,S,b,c,d,e,f,q
q,R,a,b,S,c,d,e,f,q
q,R,a,b,c,S,d,e,f,q
# ON states 3 and 5 go to history state 4 if they don't survive
g,i,j,k,l,m,n,o,p,4
# Otherwise ON states die and become the history state
q,i,j,k,l,m,n,o,p,2
@COLORS
1 255 255 255
2 0 0 0
3 0 191 225
4 255 0 0
5 120 255 0
Here is TL on the edge (just for those who wonder how often TL can appear on edge of the interaction):
@MikeP thx for the feedback. Actually the LOM destroying the block pretty quickly, did you manage to restore the block using LOM itself? or the LOM catalyst was pretty early on and avoided touching the block?
@Extrementhusiast Congrats on the new H->G. The glider internal state is actually new (in the output direction). So nicely done!