203.47/51.38 YES 203.47/51.38 property Termination 203.47/51.38 has value True 203.47/51.38 for SRS ( [b, b, a, b, b, a, b, b, b, b] -> [b, b, b, b, b, a, b, b, a, b, b, a, b]) 203.47/51.38 reason 203.47/51.38 remap for 1 rules 203.47/51.38 property Termination 203.47/51.38 has value True 203.47/51.38 for SRS ( [0, 0, 1, 0, 0, 1, 0, 0, 0, 0] -> [0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0]) 203.47/51.38 reason 203.47/51.38 reverse each lhs and rhs 203.47/51.38 property Termination 203.47/51.38 has value True 203.47/51.38 for SRS ( [0, 0, 0, 0, 1, 0, 0, 1, 0, 0] -> [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 203.47/51.38 reason 203.47/51.38 DP transform 203.47/51.38 property Termination 203.47/51.38 has value True 203.47/51.38 for SRS ( [0, 0, 0, 0, 1, 0, 0, 1, 0, 0] ->= [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [0#, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [0#, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [0#, 1, 0, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [0#, 0, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [0#, 1, 0, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [0#, 0, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [0#, 0, 0, 0], [0#, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [0#, 0, 0]) 203.47/51.38 reason 203.47/51.38 remap for 9 rules 203.47/51.38 property Termination 203.47/51.38 has value True 203.47/51.38 for SRS ( [0, 0, 0, 0, 1, 0, 0, 1, 0, 0] ->= [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 1, 0, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 1, 0, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0]) 203.47/51.38 reason 203.47/51.38 EDG has 1 SCCs 203.47/51.38 property Termination 203.47/51.38 has value True 203.47/51.38 for SRS ( [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0] ->= [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 203.47/51.38 reason 203.47/51.38 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 203.47/51.38 interpretation 203.47/51.38 0 / 0A 0A 3A \ 203.47/51.38 | 0A 0A 0A | 203.47/51.38 \ -3A 0A 0A / 203.47/51.38 1 / 0A 0A 0A \ 203.47/51.38 | -3A -3A -3A | 203.47/51.38 \ -3A -3A -3A / 203.47/51.38 2 / 24A 24A 25A \ 203.47/51.38 | 24A 24A 25A | 203.47/51.38 \ 24A 24A 25A / 203.47/51.38 [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0] 203.47/51.38 lhs rhs ge gt 203.47/51.38 / 27A 30A 30A \ / 25A 27A 27A \ True True 203.47/51.38 | 27A 30A 30A | | 25A 27A 27A | 203.47/51.38 \ 27A 30A 30A / \ 25A 27A 27A / 203.47/51.38 [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0] 203.47/51.38 lhs rhs ge gt 203.47/51.38 / 27A 30A 30A \ / 27A 27A 28A \ True False 203.47/51.38 | 27A 30A 30A | | 27A 27A 28A | 203.47/51.38 \ 27A 30A 30A / \ 27A 27A 28A / 203.47/51.38 [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0, 0] 203.47/51.38 lhs rhs ge gt 203.47/51.38 / 27A 30A 30A \ / 27A 28A 30A \ True False 203.47/51.38 | 27A 30A 30A | | 27A 28A 30A | 203.47/51.38 \ 27A 30A 30A / \ 27A 28A 30A / 203.47/51.38 [0, 0, 0, 0, 1, 0, 0, 1, 0, 0] ->= [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0] 203.47/51.38 lhs rhs ge gt 203.47/51.38 / 3A 6A 6A \ / 3A 6A 6A \ True False 203.47/51.38 | 3A 6A 6A | | 3A 6A 6A | 203.47/51.38 \ 0A 3A 3A / \ 0A 3A 3A / 203.47/51.38 property Termination 203.47/51.38 has value True 203.47/51.38 for SRS ( [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0] ->= [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 203.47/51.38 reason 203.47/51.38 EDG has 1 SCCs 203.47/51.38 property Termination 203.47/51.38 has value True 203.47/51.38 for SRS ( [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0], [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0] ->= [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 203.47/51.38 reason 203.47/51.38 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 203.47/51.38 interpretation 203.47/51.38 0 Wk / - 2A 0A 0A \ 203.47/51.38 | - - 0A - | 203.47/51.38 | 0A 0A - 0A | 203.47/51.38 \ - - - 0A / 203.47/51.38 1 Wk / - - - 0A \ 203.47/51.38 | 0A 0A - 1A | 203.47/51.38 | - - - - | 203.47/51.38 \ - - - 0A / 203.47/51.38 2 Wk / - 1A 0A 3A \ 203.47/51.38 | - - - - | 203.47/51.38 | - 2A - - | 203.47/51.38 \ - - - 0A / 203.47/51.38 [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0] 203.47/51.38 lhs rhs ge gt 203.47/51.38 Wk / 3A 3A 5A 4A \ Wk / 0A 3A 2A 3A \ True False 203.47/51.38 | - - - - | | - - - - | 203.47/51.38 | 4A 4A 6A 5A | | - 4A 2A 2A | 203.47/51.38 \ - - - 0A / \ - - - 0A / 203.47/51.38 [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0, 0] 203.47/51.38 lhs rhs ge gt 203.47/51.38 Wk / 3A 3A 5A 4A \ Wk / 2A 2A 3A 3A \ True True 203.47/51.38 | - - - - | | - - - - | 203.47/51.38 | 4A 4A 6A 5A | | 2A 2A 4A 2A | 203.47/51.38 \ - - - 0A / \ - - - 0A / 203.47/51.38 [0, 0, 0, 0, 1, 0, 0, 1, 0, 0] ->= [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0] 203.47/51.39 lhs rhs ge gt 203.47/51.39 Wk / 4A 4A 6A 5A \ Wk / 4A 4A 6A 4A \ True False 203.47/51.39 | 0A 0A 2A 1A | | - - - - | 203.47/51.39 | 2A 2A 4A 3A | | 2A 2A 4A 2A | 203.47/51.39 \ - - - 0A / \ - - - 0A / 203.47/51.39 property Termination 203.47/51.39 has value True 203.47/51.39 for SRS ( [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0] ->= [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 203.47/51.39 reason 203.47/51.39 EDG has 1 SCCs 203.47/51.39 property Termination 203.47/51.39 has value True 203.47/51.39 for SRS ( [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 1, 0, 0] ->= [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 203.47/51.39 reason 203.47/51.39 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 203.47/51.39 interpretation 203.47/51.39 0 Wk / 0 1 0 0 \ 203.47/51.39 | 0 0 1 0 | 203.47/51.39 | 3 0 0 0 | 203.47/51.39 \ 0 0 0 1 / 203.47/51.39 1 Wk / 0 0 0 0 \ 203.47/51.39 | 0 0 0 0 | 203.47/51.39 | 1 0 0 1 | 203.47/51.39 \ 0 0 0 1 / 203.47/51.39 2 Wk / 0 0 1 0 \ 203.47/51.39 | 0 0 0 4 | 203.47/51.39 | 0 0 0 4 | 203.47/51.39 \ 0 0 0 1 / 203.47/51.39 [2, 0, 0, 0, 1, 0, 0, 1, 0, 0] |-> [2, 0, 0, 0] 203.47/51.39 lhs rhs ge gt 203.47/51.39 Wk / 0 0 3 6 \ Wk / 0 0 3 0 \ True True 203.47/51.39 | 0 0 0 4 | | 0 0 0 4 | 203.47/51.39 | 0 0 0 4 | | 0 0 0 4 | 203.47/51.39 \ 0 0 0 1 / \ 0 0 0 1 / 203.47/51.39 [0, 0, 0, 0, 1, 0, 0, 1, 0, 0] ->= [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0] 203.47/51.39 lhs rhs ge gt 203.47/51.39 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 203.47/51.40 | 0 0 3 6 | | 0 0 3 3 | 203.47/51.40 | 0 0 0 0 | | 0 0 0 0 | 203.47/51.40 \ 0 0 0 1 / \ 0 0 0 1 / 203.47/51.40 property Termination 203.47/51.40 has value True 203.47/51.40 for SRS ( [0, 0, 0, 0, 1, 0, 0, 1, 0, 0] ->= [0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0]) 203.47/51.40 reason 203.47/51.40 EDG has 0 SCCs 203.47/51.40 203.47/51.40 ************************************************** 203.47/51.40 summary 203.47/51.40 ************************************************** 203.47/51.40 SRS with 1 rules on 2 letters Remap { tracing = False} 203.47/51.40 SRS with 1 rules on 2 letters reverse each lhs and rhs 203.47/51.40 SRS with 1 rules on 2 letters DP transform 203.47/51.40 SRS with 9 rules on 3 letters Remap { tracing = False} 203.47/51.40 SRS with 9 rules on 3 letters EDG 203.47/51.40 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 203.47/51.40 SRS with 3 rules on 3 letters EDG 203.47/51.40 SRS with 3 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 203.47/51.40 SRS with 2 rules on 3 letters EDG 203.47/51.40 SRS with 2 rules on 3 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 203.47/51.40 SRS with 1 rules on 2 letters EDG 203.47/51.40 203.47/51.40 ************************************************** 203.47/51.40 (1, 2)\Deepee(9, 3)\EDG(4, 3)\Matrix{\Arctic}{3}(3, 3)\Matrix{\Arctic}{4}(2, 3)\Matrix{\Natural}{4}(1, 2)\EDG[] 203.47/51.40 ************************************************** 203.47/51.41 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]} 203.47/51.41 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 204.18/51.72 EOF