YES

          summary
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SRS with 34 strict rules and 26 weak rules on 6 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 1666 strict rules and 1274 weak rules on 48 letters       weights
SRS with 35 strict rules and 231 weak rules on 42 letters       unlabel
SRS with 1 strict rules and 7 weak rules on 6 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 25 strict rules and 153 weak rules on 35 letters       weights
SRS with 25 strict rules and 128 weak rules on 32 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 0 strict rules and 1080 weak rules on 114 letters       weights
SRS with 0 strict rules and 47 weak rules on 44 letters       no strict rules

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skeleton: (34/26,6)\TileAllRFC{2}(1666/1274,48)\Weight(35/231,42)\Unlabel(1/7,6)\TileAllRFC{2}(25/153,35)\Weight(25/128,32)\TileAllRFC{2}(0/1080,114)\Weight(0/47,44)[]
**************************************************
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)])