83.55/21.22 YES 83.55/21.23 property Termination 83.55/21.23 has value True 83.55/21.23 for SRS ( [a] -> [b, c], [b, a, b] -> [c], [c, c] -> [a, a, b]) 83.55/21.23 reason 83.55/21.23 remap for 3 rules 83.55/21.23 property Termination 83.55/21.23 has value True 83.55/21.23 for SRS ( [0] -> [1, 2], [1, 0, 1] -> [2], [2, 2] -> [0, 0, 1]) 83.55/21.23 reason 83.55/21.23 DP transform 83.55/21.23 property Termination 83.55/21.23 has value True 83.55/21.25 for SRS ( [0] ->= [1, 2], [1, 0, 1] ->= [2], [2, 2] ->= [0, 0, 1], [0#] |-> [1#, 2], [0#] |-> [2#], [1#, 0, 1] |-> [2#], [2#, 2] |-> [0#, 0, 1], [2#, 2] |-> [0#, 1], [2#, 2] |-> [1#]) 83.55/21.25 reason 83.55/21.25 remap for 9 rules 83.55/21.25 property Termination 83.55/21.25 has value True 83.55/21.27 for SRS ( [0] ->= [1, 2], [1, 0, 1] ->= [2], [2, 2] ->= [0, 0, 1], [3] |-> [4, 2], [3] |-> [5], [4, 0, 1] |-> [5], [5, 2] |-> [3, 0, 1], [5, 2] |-> [3, 1], [5, 2] |-> [4]) 83.55/21.27 reason 83.99/21.29 weights 83.99/21.29 Map [(0, 1/3), (2, 1/3), (3, 1/3), (5, 1/3)] 83.99/21.30 83.99/21.30 property Termination 83.99/21.30 has value True 84.07/21.31 for SRS ( [0] ->= [1, 2], [1, 0, 1] ->= [2], [2, 2] ->= [0, 0, 1], [3] |-> [4, 2], [3] |-> [5], [4, 0, 1] |-> [5], [5, 2] |-> [3, 0, 1]) 84.07/21.32 reason 84.07/21.32 EDG has 1 SCCs 84.07/21.32 property Termination 84.07/21.32 has value True 84.07/21.32 for SRS ( [3] |-> [4, 2], [4, 0, 1] |-> [5], [5, 2] |-> [3, 0, 1], [3] |-> [5], [0] ->= [1, 2], [1, 0, 1] ->= [2], [2, 2] ->= [0, 0, 1]) 84.07/21.33 reason 84.15/21.35 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 84.15/21.35 interpretation 84.15/21.35 0 Wk / - 3A 4A 3A \ 84.15/21.35 | 1A 2A 2A 2A | 84.15/21.35 | 1A 1A 1A 2A | 84.15/21.35 \ - - - 0A / 84.15/21.35 1 Wk / - 0A 2A 0A \ 84.15/21.35 | - - 1A - | 84.15/21.35 | - - 0A - | 84.15/21.35 \ - - - 0A / 84.15/21.35 2 Wk / - 3A 5A 0A \ 84.15/21.35 | - 1A 4A 3A | 84.15/21.35 | - 1A 1A - | 84.15/21.35 \ - - - 0A / 84.15/21.35 3 Wk / - 1A 1A 3A \ 84.15/21.35 | - - - - | 84.15/21.35 | - - - - | 84.15/21.35 \ - - - 0A / 84.15/21.36 4 Wk / - - 0A 3A \ 84.15/21.36 | - - - - | 84.15/21.36 | - - - - | 84.15/21.36 \ - - - 0A / 84.15/21.36 5 Wk / - 0A 1A 2A \ 84.15/21.36 | - - - - | 84.15/21.36 | - - - - | 84.15/21.36 \ - - - 0A / 84.15/21.36 [3] |-> [4, 2] 84.15/21.36 lhs rhs ge gt 84.15/21.36 Wk / - 1A 1A 3A \ Wk / - 1A 1A 3A \ True False 84.15/21.36 | - - - - | | - - - - | 84.15/21.36 | - - - - | | - - - - | 84.15/21.36 \ - - - 0A / \ - - - 0A / 84.15/21.36 [4, 0, 1] |-> [5] 84.15/21.37 lhs rhs ge gt 84.15/21.37 Wk / - 1A 3A 3A \ Wk / - 0A 1A 2A \ True True 84.15/21.37 | - - - - | | - - - - | 84.15/21.37 | - - - - | | - - - - | 84.15/21.37 \ - - - 0A / \ - - - 0A / 84.15/21.37 [5, 2] |-> [3, 0, 1] 85.29/21.62 lhs rhs ge gt 85.29/21.62 Wk / - 2A 4A 3A \ Wk / - 2A 4A 3A \ True False 85.29/21.62 | - - - - | | - - - - | 85.29/21.62 | - - - - | | - - - - | 85.32/21.64 \ - - - 0A / \ - - - 0A / 85.32/21.64 [3] |-> [5] 85.93/21.82 lhs rhs ge gt 85.93/21.82 Wk / - 1A 1A 3A \ Wk / - 0A 1A 2A \ True False 85.93/21.82 | - - - - | | - - - - | 85.93/21.82 | - - - - | | - - - - | 85.93/21.82 \ - - - 0A / \ - - - 0A / 85.93/21.82 [0] ->= [1, 2] 86.42/21.93 lhs rhs ge gt 86.42/21.93 Wk / - 3A 4A 3A \ Wk / - 3A 4A 3A \ True False 86.42/21.93 | 1A 2A 2A 2A | | - 2A 2A - | 86.42/21.93 | 1A 1A 1A 2A | | - 1A 1A - | 86.42/21.93 \ - - - 0A / \ - - - 0A / 86.42/21.93 [1, 0, 1] ->= [2] 86.42/21.93 lhs rhs ge gt 86.42/21.93 Wk / - 3A 5A 4A \ Wk / - 3A 5A 0A \ True False 86.42/21.93 | - 2A 4A 3A | | - 1A 4A 3A | 86.42/21.93 | - 1A 3A 2A | | - 1A 1A - | 86.54/21.93 \ - - - 0A / \ - - - 0A / 86.54/21.93 [2, 2] ->= [0, 0, 1] 87.19/22.12 lhs rhs ge gt 87.19/22.12 Wk / - 6A 7A 6A \ Wk / - 5A 7A 6A \ True False 87.19/22.12 | - 5A 5A 4A | | - 3A 5A 4A | 87.19/22.12 | - 2A 5A 4A | | - 2A 5A 4A | 87.19/22.12 \ - - - 0A / \ - - - 0A / 87.19/22.12 property Termination 87.19/22.12 has value True 87.19/22.14 for SRS ( [3] |-> [4, 2], [5, 2] |-> [3, 0, 1], [3] |-> [5], [0] ->= [1, 2], [1, 0, 1] ->= [2], [2, 2] ->= [0, 0, 1]) 87.19/22.14 reason 87.19/22.15 weights 87.19/22.15 Map [(3, 1/1), (5, 1/1)] 87.19/22.15 87.19/22.15 property Termination 87.19/22.15 has value True 87.19/22.16 for SRS ( [5, 2] |-> [3, 0, 1], [3] |-> [5], [0] ->= [1, 2], [1, 0, 1] ->= [2], [2, 2] ->= [0, 0, 1]) 87.19/22.16 reason 87.19/22.16 EDG has 1 SCCs 87.19/22.16 property Termination 87.19/22.16 has value True 87.19/22.16 for SRS ( [5, 2] |-> [3, 0, 1], [3] |-> [5], [0] ->= [1, 2], [1, 0, 1] ->= [2], [2, 2] ->= [0, 0, 1]) 87.19/22.16 reason 87.19/22.16 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 87.19/22.16 interpretation 87.19/22.16 0 Wk / 2A 3A 1A - \ 87.19/22.16 | 1A 2A - 2A | 87.19/22.16 | 3A 4A 2A 4A | 87.19/22.16 \ - - - 0A / 87.47/22.17 1 Wk / 1A - 0A - \ 87.47/22.17 | 0A - - 0A | 87.47/22.17 | 2A 0A 0A - | 87.47/22.17 \ - - - 0A / 87.49/22.18 2 Wk / 0A 2A - - \ 87.49/22.18 | 3A 1A 2A 3A | 87.49/22.18 | 2A 3A - - | 87.49/22.18 \ - - - 0A / 87.49/22.18 3 Wk / 0A 1A - 3A \ 87.49/22.18 | - 1A - 2A | 87.49/22.18 | - 1A - - | 87.49/22.18 \ - - - 0A / 87.49/22.18 5 Wk / - 0A - 2A \ 87.49/22.18 | - 0A - 0A | 87.49/22.18 | - 0A - - | 87.49/22.18 \ - - - 0A / 87.49/22.18 [5, 2] |-> [3, 0, 1] 87.49/22.19 lhs rhs ge gt 87.49/22.19 Wk / 3A 1A 2A 3A \ Wk / 3A 1A 2A 3A \ True False 87.49/22.19 | 3A 1A 2A 3A | | 3A - 2A 3A | 87.49/22.19 | 3A 1A 2A 3A | | 3A - 2A 3A | 87.49/22.19 \ - - - 0A / \ - - - 0A / 87.49/22.19 [3] |-> [5] 87.49/22.20 lhs rhs ge gt 87.49/22.20 Wk / 0A 1A - 3A \ Wk / - 0A - 2A \ True True 87.49/22.20 | - 1A - 2A | | - 0A - 0A | 87.49/22.20 | - 1A - - | | - 0A - - | 87.49/22.20 \ - - - 0A / \ - - - 0A / 87.49/22.20 [0] ->= [1, 2] 88.10/22.35 lhs rhs ge gt 88.10/22.36 Wk / 2A 3A 1A - \ Wk / 2A 3A - - \ True False 88.36/22.44 | 1A 2A - 2A | | 0A 2A - 0A | 88.36/22.44 | 3A 4A 2A 4A | | 3A 4A 2A 3A | 88.36/22.44 \ - - - 0A / \ - - - 0A / 88.36/22.44 [1, 0, 1] ->= [2] 88.92/22.54 lhs rhs ge gt 88.92/22.54 Wk / 4A 2A 3A 4A \ Wk / 0A 2A - - \ True False 88.92/22.54 | 3A 1A 2A 3A | | 3A 1A 2A 3A | 88.92/22.54 | 5A 3A 4A 5A | | 2A 3A - - | 88.92/22.54 \ - - - 0A / \ - - - 0A / 88.92/22.56 [2, 2] ->= [0, 0, 1] 89.22/22.63 lhs rhs ge gt 89.22/22.63 Wk / 5A 3A 4A 5A \ Wk / 5A 3A 4A 5A \ True False 89.22/22.63 | 4A 5A 3A 4A | | 4A 2A 3A 4A | 89.22/22.64 | 6A 4A 5A 6A | | 6A 4A 5A 6A | 89.22/22.64 \ - - - 0A / \ - - - 0A / 89.22/22.64 property Termination 89.22/22.64 has value True 89.22/22.64 for SRS ( [5, 2] |-> [3, 0, 1], [0] ->= [1, 2], [1, 0, 1] ->= [2], [2, 2] ->= [0, 0, 1]) 89.22/22.64 reason 89.22/22.64 weights 89.22/22.64 Map [(5, 1/1)] 89.22/22.64 89.22/22.64 property Termination 89.22/22.64 has value True 89.22/22.64 for SRS ( [0] ->= [1, 2], [1, 0, 1] ->= [2], [2, 2] ->= [0, 0, 1]) 89.22/22.64 reason 89.22/22.64 EDG has 0 SCCs 89.22/22.64 89.22/22.64 ************************************************** 89.22/22.64 summary 89.22/22.64 ************************************************** 89.22/22.65 SRS with 3 rules on 3 letters Remap { tracing = False} 89.22/22.65 SRS with 3 rules on 3 letters DP transform 89.22/22.65 SRS with 9 rules on 6 letters Remap { tracing = False} 89.22/22.65 SRS with 9 rules on 6 letters weights 89.22/22.65 SRS with 7 rules on 6 letters EDG 89.22/22.65 SRS with 7 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 89.22/22.65 SRS with 6 rules on 6 letters weights 89.22/22.65 SRS with 5 rules on 5 letters EDG 89.22/22.65 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 89.22/22.65 SRS with 4 rules on 5 letters weights 89.22/22.65 SRS with 3 rules on 3 letters EDG 89.22/22.65 89.22/22.65 ************************************************** 89.22/22.66 (3, 3)\Deepee(9, 6)\Weight(7, 6)\Matrix{\Arctic}{4}(6, 6)\Weight(5, 5)\Matrix{\Arctic}{4}(4, 5)\Weight(3, 3)\EDG[] 89.22/22.66 ************************************************** 91.92/23.32 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]} 91.92/23.32 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 92.31/23.46 EOF