YES

          summary
**************************************************
SRS with 1 strict rules and 1 weak rules on 2 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 6 strict rules and 6 weak rules on 6 letters       mirror
SRS with 6 strict rules and 6 weak rules on 6 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 54 strict rules and 54 weak rules on 24 letters       weights
SRS with 44 strict rules and 36 weak rules on 20 letters       mirror
SRS with 44 strict rules and 36 weak rules on 20 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 404 strict rules and 378 weak rules on 76 letters       weights
SRS with 0 strict rules and 40 weak rules on 15 letters       no strict rules

**************************************************
skeleton: (1/1,2)\TileAllRFC{2}\Mirror(6/6,6)\TileAllRFC{2}(54/54,24)\Weight\Mirror(44/36,20)\TileAllRFC{2}(404/378,76)\Weight(0/40,15)[]
**************************************************
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)])