9.81/2.51 YES 9.81/2.51 property Termination 9.81/2.51 has value True 9.81/2.51 for SRS ( [0, 1, 2, 2] -> [3, 2, 1], [2, 4, 1, 5, 2] -> [2, 2, 2, 4, 4], [3, 0, 0, 1, 0] -> [1, 1, 3, 0], [0, 1, 3, 5, 4, 2, 2] -> [3, 5, 1, 3, 1, 2], [0, 2, 4, 1, 2, 0, 5, 3] -> [5, 3, 2, 0, 1, 1, 2], [2, 1, 2, 3, 0, 3, 5, 0] -> [2, 1, 2, 0, 4, 5, 3, 0], [3, 4, 0, 3, 2, 1, 2, 2] -> [1, 2, 5, 0, 2, 0, 2], [0, 4, 0, 3, 3, 2, 1, 1, 3] -> [3, 4, 2, 3, 1, 3, 1, 1], [3, 2, 2, 2, 5, 5, 3, 5, 0] -> [1, 2, 1, 0, 1, 4, 0, 5, 0], [0, 1, 1, 3, 0, 4, 4, 4, 4, 2] -> [3, 0, 5, 4, 1, 1, 3, 5], [4, 0, 2, 0, 2, 0, 2, 0, 5, 4] -> [4, 0, 1, 4, 1, 3, 2, 2, 3], [0, 1, 5, 0, 4, 3, 5, 2, 1, 5, 2] -> [5, 4, 2, 0, 1, 2, 4, 4, 5, 1, 2, 2], [1, 1, 2, 4, 0, 2, 2, 1, 5, 5, 0] -> [1, 1, 1, 0, 1, 3, 1, 2, 1, 0], [5, 1, 3, 5, 1, 1, 2, 1, 2, 0, 2, 2] -> [3, 5, 1, 0, 3, 4, 3, 5, 2, 0, 4, 3], [5, 2, 4, 2, 4, 0, 5, 1, 1, 0, 4, 3] -> [1, 2, 0, 5, 5, 0, 3, 2, 2, 1, 3], [1, 4, 2, 4, 5, 3, 0, 0, 2, 3, 4, 5, 3] -> [1, 3, 2, 2, 0, 0, 5, 1, 2, 0, 4, 0, 3], [2, 3, 3, 4, 0, 4, 1, 0, 0, 2, 3, 0, 1] -> [2, 4, 0, 3, 5, 0, 3, 1, 4, 4, 2, 0, 1], [5, 4, 1, 4, 1, 0, 5, 2, 1, 5, 0, 4, 4] -> [3, 0, 0, 0, 2, 5, 5, 1, 0, 1, 2, 2, 0, 4], [0, 3, 0, 1, 1, 0, 4, 5, 3, 5, 1, 0, 3, 2] -> [5, 5, 1, 3, 3, 3, 3, 1, 5, 5, 1, 3], [2, 0, 3, 1, 5, 5, 0, 1, 5, 5, 1, 5, 2, 0, 4] -> [2, 1, 3, 4, 1, 4, 3, 4, 1, 2, 4, 1, 1, 4, 4], [0, 3, 3, 0, 4, 4, 0, 0, 2, 1, 5, 0, 5, 5, 1, 2] -> [1, 4, 2, 2, 4, 4, 0, 0, 0, 4, 0, 3, 1, 5, 5, 1], [4, 2, 1, 4, 0, 4, 4, 2, 2, 1, 2, 4, 3, 5, 1, 0] -> [4, 1, 3, 1, 3, 3, 2, 5, 0, 4, 5, 5, 4, 0], [2, 2, 1, 4, 4, 4, 5, 4, 0, 2, 2, 5, 3, 2, 3, 3, 2] -> [2, 2, 4, 4, 2, 4, 0, 2, 3, 1, 1, 1, 1, 4, 1, 1], [2, 1, 2, 0, 1, 5, 1, 0, 3, 2, 0, 1, 1, 1, 4, 4, 0, 2] -> [2, 5, 4, 0, 3, 5, 2, 4, 2, 3, 0, 2, 2, 0, 1, 1, 4, 1], [4, 2, 0, 5, 2, 5, 5, 5, 5, 5, 5, 3, 3, 3, 0, 0, 2, 5] -> [4, 0, 1, 4, 5, 0, 1, 5, 1, 2, 2, 5, 2, 2, 5, 4, 1, 5], [0, 3, 1, 0, 0, 3, 5, 1, 2, 1, 2, 2, 0, 3, 3, 0, 5, 4, 2] -> [5, 2, 1, 0, 4, 4, 0, 1, 0, 1, 2, 2, 5, 1, 2, 5, 4, 5], [0, 1, 3, 4, 4, 5, 3, 0, 2, 0, 3, 5, 2, 1, 0, 1, 5, 2, 0, 1] -> [1, 5, 3, 2, 4, 4, 4, 1, 2, 3, 0, 3, 2, 4, 1, 0, 0, 0, 2, 1], [0, 5, 1, 5, 2, 1, 1, 5, 3, 2, 3, 1, 3, 4, 1, 2, 3, 5, 4, 3] -> [2, 1, 4, 0, 1, 0, 2, 0, 3, 3, 4, 0, 3, 5, 4, 3, 2, 5, 4, 1, 3], [2, 2, 1, 5, 0, 4, 3, 4, 5, 3, 3, 3, 3, 1, 5, 3, 1, 4, 0, 1] -> [2, 5, 0, 5, 4, 2, 1, 2, 5, 5, 4, 4, 1, 1, 4, 5, 3, 1, 3, 1], [3, 0, 1, 3, 5, 1, 3, 4, 2, 5, 4, 0, 5, 0, 1, 5, 5, 5, 1, 0, 2] -> [3, 0, 1, 5, 5, 0, 3, 2, 4, 4, 0, 2, 4, 5, 3, 3, 2, 5, 1, 1, 1]) 9.81/2.51 reason 9.81/2.51 remap for 30 rules 9.81/2.51 property Termination 9.81/2.51 has value True 9.81/2.51 for SRS ( [0, 1, 2, 2] -> [3, 2, 1], [2, 4, 1, 5, 2] -> [2, 2, 2, 4, 4], [3, 0, 0, 1, 0] -> [1, 1, 3, 0], [0, 1, 3, 5, 4, 2, 2] -> [3, 5, 1, 3, 1, 2], [0, 2, 4, 1, 2, 0, 5, 3] -> [5, 3, 2, 0, 1, 1, 2], [2, 1, 2, 3, 0, 3, 5, 0] -> [2, 1, 2, 0, 4, 5, 3, 0], [3, 4, 0, 3, 2, 1, 2, 2] -> [1, 2, 5, 0, 2, 0, 2], [0, 4, 0, 3, 3, 2, 1, 1, 3] -> [3, 4, 2, 3, 1, 3, 1, 1], [3, 2, 2, 2, 5, 5, 3, 5, 0] -> [1, 2, 1, 0, 1, 4, 0, 5, 0], [0, 1, 1, 3, 0, 4, 4, 4, 4, 2] -> [3, 0, 5, 4, 1, 1, 3, 5], [4, 0, 2, 0, 2, 0, 2, 0, 5, 4] -> [4, 0, 1, 4, 1, 3, 2, 2, 3], [0, 1, 5, 0, 4, 3, 5, 2, 1, 5, 2] -> [5, 4, 2, 0, 1, 2, 4, 4, 5, 1, 2, 2], [1, 1, 2, 4, 0, 2, 2, 1, 5, 5, 0] -> [1, 1, 1, 0, 1, 3, 1, 2, 1, 0], [5, 1, 3, 5, 1, 1, 2, 1, 2, 0, 2, 2] -> [3, 5, 1, 0, 3, 4, 3, 5, 2, 0, 4, 3], [5, 2, 4, 2, 4, 0, 5, 1, 1, 0, 4, 3] -> [1, 2, 0, 5, 5, 0, 3, 2, 2, 1, 3], [1, 4, 2, 4, 5, 3, 0, 0, 2, 3, 4, 5, 3] -> [1, 3, 2, 2, 0, 0, 5, 1, 2, 0, 4, 0, 3], [2, 3, 3, 4, 0, 4, 1, 0, 0, 2, 3, 0, 1] -> [2, 4, 0, 3, 5, 0, 3, 1, 4, 4, 2, 0, 1], [5, 4, 1, 4, 1, 0, 5, 2, 1, 5, 0, 4, 4] -> [3, 0, 0, 0, 2, 5, 5, 1, 0, 1, 2, 2, 0, 4], [0, 3, 0, 1, 1, 0, 4, 5, 3, 5, 1, 0, 3, 2] -> [5, 5, 1, 3, 3, 3, 3, 1, 5, 5, 1, 3], [2, 0, 3, 1, 5, 5, 0, 1, 5, 5, 1, 5, 2, 0, 4] -> [2, 1, 3, 4, 1, 4, 3, 4, 1, 2, 4, 1, 1, 4, 4], [0, 3, 3, 0, 4, 4, 0, 0, 2, 1, 5, 0, 5, 5, 1, 2] -> [1, 4, 2, 2, 4, 4, 0, 0, 0, 4, 0, 3, 1, 5, 5, 1], [4, 2, 1, 4, 0, 4, 4, 2, 2, 1, 2, 4, 3, 5, 1, 0] -> [4, 1, 3, 1, 3, 3, 2, 5, 0, 4, 5, 5, 4, 0], [2, 2, 1, 4, 4, 4, 5, 4, 0, 2, 2, 5, 3, 2, 3, 3, 2] -> [2, 2, 4, 4, 2, 4, 0, 2, 3, 1, 1, 1, 1, 4, 1, 1], [2, 1, 2, 0, 1, 5, 1, 0, 3, 2, 0, 1, 1, 1, 4, 4, 0, 2] -> [2, 5, 4, 0, 3, 5, 2, 4, 2, 3, 0, 2, 2, 0, 1, 1, 4, 1], [4, 2, 0, 5, 2, 5, 5, 5, 5, 5, 5, 3, 3, 3, 0, 0, 2, 5] -> [4, 0, 1, 4, 5, 0, 1, 5, 1, 2, 2, 5, 2, 2, 5, 4, 1, 5], [0, 3, 1, 0, 0, 3, 5, 1, 2, 1, 2, 2, 0, 3, 3, 0, 5, 4, 2] -> [5, 2, 1, 0, 4, 4, 0, 1, 0, 1, 2, 2, 5, 1, 2, 5, 4, 5], [0, 1, 3, 4, 4, 5, 3, 0, 2, 0, 3, 5, 2, 1, 0, 1, 5, 2, 0, 1] -> [1, 5, 3, 2, 4, 4, 4, 1, 2, 3, 0, 3, 2, 4, 1, 0, 0, 0, 2, 1], [0, 5, 1, 5, 2, 1, 1, 5, 3, 2, 3, 1, 3, 4, 1, 2, 3, 5, 4, 3] -> [2, 1, 4, 0, 1, 0, 2, 0, 3, 3, 4, 0, 3, 5, 4, 3, 2, 5, 4, 1, 3], [2, 2, 1, 5, 0, 4, 3, 4, 5, 3, 3, 3, 3, 1, 5, 3, 1, 4, 0, 1] -> [2, 5, 0, 5, 4, 2, 1, 2, 5, 5, 4, 4, 1, 1, 4, 5, 3, 1, 3, 1], [3, 0, 1, 3, 5, 1, 3, 4, 2, 5, 4, 0, 5, 0, 1, 5, 5, 5, 1, 0, 2] -> [3, 0, 1, 5, 5, 0, 3, 2, 4, 4, 0, 2, 4, 5, 3, 3, 2, 5, 1, 1, 1]) 9.81/2.51 reason 9.81/2.51 matchbound 2 certified by automaton with 1087 states 9.81/2.51 9.81/2.51 9.81/2.51 ************************************************** 9.81/2.51 summary 9.81/2.51 ************************************************** 9.81/2.51 SRS with 30 rules on 6 letters Remap { tracing = False} 9.81/2.51 SRS with 30 rules on 6 letters Matchbound { method = RFC, max_size = Nothing, verbose = False, tracing = False} matchbound 2 certified by automaton with 1087 states 9.81/2.51 9.81/2.51 ************************************************** 9.81/2.51 (30, 6)\Rfcmatchbound[] 9.81/2.51 ************************************************** 9.81/2.52 let { 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})) (Worker Remap));when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;solver = Minisatapi;qpi = \ dim bits -> weighted (when_small (Worker (QPI { tracing = True,dim = dim,bits = bits,solver = solver})));matrix = \ dom dim bits -> weighted (when_small (Worker (Matrix { monotone = Weak,domain = dom,dim = dim,bits = bits,tracing = False,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]] <> ([ matrix Arctic 4 3, matrix Natural 4 3] <> [ kbo 1, And_Then (Worker Mirror) (kbo 1)])));remove_tile = Seq [ remove, tiling Overlap 3];dp = As_Transformer (Apply (And_Then (Worker (DP { tracing = False})) (Worker Remap)) (Apply wop (Branch (Worker (EDG { tracing = False})) remove_tile)));noh = [ Timeout 10 (Worker (Enumerate { closure = Forward})), Timeout 10 (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]} 9.81/2.52 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 9.91/2.55 EOF