YES

          summary
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SRS with 1 strict rules and 1 weak rules on 2 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 4 strict rules and 4 weak rules on 4 letters       mirror
SRS with 4 strict rules and 4 weak rules on 4 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 36 strict rules and 36 weak rules on 16 letters       weights
SRS with 25 strict rules and 16 weak rules on 12 letters       mirror
SRS with 25 strict rules and 16 weak rules on 12 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 229 strict rules and 196 weak rules on 45 letters       weights
SRS with 0 strict rules and 16 weak rules on 14 letters       no strict rules

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skeleton: (1/1,2)\TileAllRFC{2}\Mirror(4/4,4)\TileAllRFC{2}(36/36,16)\Weight\Mirror(25/16,12)\TileAllRFC{2}(229/196,45)\Weight(0/16,14)[]
**************************************************
let {}
in let {trac = False;done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 10000 GLPK Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;tiling = \ m w -> weighted (And_Then (Worker (Tiling {method = m,width = w,unlabel = False})) (Worker Remap));when_small = \ m -> And_Then (Worker (SizeAtmost 1000)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;solver = Minisatapi;qpi = \ dim bits -> weighted (when_small (Worker (QPI {tracing = trac,dim = dim,bits = bits,solver = solver})));matrix = \ dom dim bits -> weighted (when_small (Worker (Matrix {monotone = Weak,domain = dom,dim = dim,bits = bits,tracing = trac,solver = solver})));kbo = \ b -> weighted (when_small (Worker (KBO {bits = b,solver = solver})));mb = Worker (Matchbound {method = RFC,max_size = 100000});remove = First_Of ([ Worker (Weight {modus = mo})] <> ([ Seq [ qpi 2 4, qpi 3 4, qpi 4 4], Seq [ qpi 5 4, qpi 6 3, qpi 7 3]] <> ([ Seq [ matrix Arctic 2 5, matrix Arctic 3 4, matrix Arctic 4 3], Seq [ matrix Natural 2 5, matrix Natural 3 4, matrix Natural 4 3]] <> [ kbo 1, And_Then (Worker Mirror) (And_Then (kbo 1) (Worker Mirror))])));dp = As_Transformer (Apply (And_Then (Worker (DP {tracing = True})) (Worker Remap)) (Apply wop (Branch (Worker (EDG {tracing = True})) remove)));noh = [ Worker (Enumerate {closure = Forward}), Worker (Enumerate {closure = Backward})];yeah = Tree_Search_Preemptive 0 done ([ Worker (Weight {modus = mo}), mb, And_Then (Worker Mirror) mb, dp, And_Then (Worker Mirror) dp, tiling Forward 2, And_Then (Worker Mirror) (tiling Forward 2)] <> [ Worker (Unlabel {verbose = True})])}
  in Apply (Worker Remap) (Seq [ Worker KKST01, First_Of ([ yeah] <> noh)])