102.59/26.63 YES 102.59/26.63 property Termination 102.59/26.63 has value True 102.59/26.63 for SRS ( [a, d] -> [d, b], [a] -> [b, b, b], [b, d, b] -> [a, c], [c] -> [d]) 102.59/26.63 reason 102.59/26.63 remap for 4 rules 102.59/26.63 property Termination 102.59/26.64 has value True 102.59/26.64 for SRS ( [0, 1] -> [1, 2], [0] -> [2, 2, 2], [2, 1, 2] -> [0, 3], [3] -> [1]) 102.59/26.64 reason 102.59/26.64 reverse each lhs and rhs 102.59/26.64 property Termination 102.59/26.64 has value True 102.59/26.64 for SRS ( [1, 0] -> [2, 1], [0] -> [2, 2, 2], [2, 1, 2] -> [3, 0], [3] -> [1]) 102.59/26.64 reason 102.59/26.64 DP transform 102.59/26.64 property Termination 102.89/26.66 has value True 102.96/26.68 for SRS ( [1, 0] ->= [2, 1], [0] ->= [2, 2, 2], [2, 1, 2] ->= [3, 0], [3] ->= [1], [1#, 0] |-> [2#, 1], [1#, 0] |-> [1#], [0#] |-> [2#, 2, 2], [0#] |-> [2#, 2], [0#] |-> [2#], [2#, 1, 2] |-> [3#, 0], [2#, 1, 2] |-> [0#], [3#] |-> [1#]) 102.96/26.68 reason 102.96/26.68 remap for 12 rules 102.96/26.68 property Termination 102.96/26.68 has value True 102.96/26.70 for SRS ( [0, 1] ->= [2, 0], [1] ->= [2, 2, 2], [2, 0, 2] ->= [3, 1], [3] ->= [0], [4, 1] |-> [5, 0], [4, 1] |-> [4], [6] |-> [5, 2, 2], [6] |-> [5, 2], [6] |-> [5], [5, 0, 2] |-> [7, 1], [5, 0, 2] |-> [6], [7] |-> [4]) 102.96/26.70 reason 102.96/26.70 weights 102.96/26.70 Map [(0, 2/1), (3, 2/1), (4, 3/1), (5, 1/1), (6, 2/1), (7, 3/1)] 102.96/26.70 102.96/26.70 property Termination 102.96/26.70 has value True 103.12/26.72 for SRS ( [0, 1] ->= [2, 0], [1] ->= [2, 2, 2], [2, 0, 2] ->= [3, 1], [3] ->= [0], [4, 1] |-> [5, 0], [4, 1] |-> [4], [5, 0, 2] |-> [7, 1], [7] |-> [4]) 103.12/26.72 reason 103.12/26.72 EDG has 1 SCCs 103.12/26.72 property Termination 103.12/26.72 has value True 103.12/26.73 for SRS ( [4, 1] |-> [5, 0], [5, 0, 2] |-> [7, 1], [7] |-> [4], [4, 1] |-> [4], [0, 1] ->= [2, 0], [1] ->= [2, 2, 2], [2, 0, 2] ->= [3, 1], [3] ->= [0]) 103.12/26.73 reason 103.21/26.75 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 103.21/26.75 interpretation 103.21/26.75 0 / 12A 14A \ 103.21/26.75 \ 12A 12A / 103.21/26.75 1 / 0A 2A \ 103.21/26.75 \ 0A 0A / 103.21/26.75 2 / 0A 0A \ 103.21/26.75 \ 0A 0A / 103.21/26.75 3 / 12A 14A \ 103.21/26.75 \ 12A 14A / 103.21/26.75 4 / 24A 25A \ 103.21/26.75 \ 24A 25A / 103.21/26.75 5 / 12A 13A \ 103.21/26.75 \ 12A 13A / 103.21/26.75 7 / 24A 25A \ 103.21/26.75 \ 24A 25A / 103.21/26.75 [4, 1] |-> [5, 0] 103.21/26.75 lhs rhs ge gt 103.21/26.75 / 25A 26A \ / 25A 26A \ True False 103.21/26.75 \ 25A 26A / \ 25A 26A / 103.21/26.75 [5, 0, 2] |-> [7, 1] 103.21/26.75 lhs rhs ge gt 103.21/26.75 / 26A 26A \ / 25A 26A \ True False 103.21/26.75 \ 26A 26A / \ 25A 26A / 103.21/26.75 [7] |-> [4] 103.21/26.75 lhs rhs ge gt 103.21/26.75 / 24A 25A \ / 24A 25A \ True False 103.21/26.75 \ 24A 25A / \ 24A 25A / 103.21/26.75 [4, 1] |-> [4] 103.21/26.75 lhs rhs ge gt 103.21/26.75 / 25A 26A \ / 24A 25A \ True True 103.21/26.75 \ 25A 26A / \ 24A 25A / 103.21/26.75 [0, 1] ->= [2, 0] 103.21/26.75 lhs rhs ge gt 103.21/26.75 / 14A 14A \ / 12A 14A \ True False 103.21/26.75 \ 12A 14A / \ 12A 14A / 103.21/26.75 [1] ->= [2, 2, 2] 103.21/26.75 lhs rhs ge gt 103.21/26.75 / 0A 2A \ / 0A 0A \ True False 103.21/26.75 \ 0A 0A / \ 0A 0A / 103.21/26.75 [2, 0, 2] ->= [3, 1] 103.21/26.75 lhs rhs ge gt 103.21/26.75 / 14A 14A \ / 14A 14A \ True False 103.21/26.75 \ 14A 14A / \ 14A 14A / 103.21/26.75 [3] ->= [0] 103.21/26.75 lhs rhs ge gt 103.21/26.75 / 12A 14A \ / 12A 14A \ True False 103.21/26.75 \ 12A 14A / \ 12A 12A / 103.21/26.75 property Termination 103.21/26.75 has value True 103.53/26.82 for SRS ( [4, 1] |-> [5, 0], [5, 0, 2] |-> [7, 1], [7] |-> [4], [0, 1] ->= [2, 0], [1] ->= [2, 2, 2], [2, 0, 2] ->= [3, 1], [3] ->= [0]) 103.53/26.82 reason 103.53/26.82 EDG has 1 SCCs 103.53/26.82 property Termination 103.53/26.82 has value True 103.53/26.83 for SRS ( [4, 1] |-> [5, 0], [5, 0, 2] |-> [7, 1], [7] |-> [4], [0, 1] ->= [2, 0], [1] ->= [2, 2, 2], [2, 0, 2] ->= [3, 1], [3] ->= [0]) 103.53/26.83 reason 103.53/26.83 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 103.53/26.83 interpretation 103.53/26.84 0 Wk / - - - 1A \ 103.53/26.84 | 4A - 1A 2A | 103.53/26.84 | 6A - - - | 103.53/26.84 \ - - - 0A / 103.53/26.85 1 Wk / 1A - - 0A \ 103.53/26.85 | 7A 6A 6A 5A | 103.53/26.85 | 6A - 3A 5A | 103.53/26.85 \ - - - 0A / 103.53/26.85 2 Wk / 0A - - 0A \ 103.53/26.85 | 3A 2A 1A 0A | 103.53/26.85 | 4A - 1A - | 103.53/26.85 \ - - - 0A / 103.53/26.86 3 Wk / - - - 1A \ 103.53/26.86 | 4A - 1A 5A | 103.53/26.86 | 6A - - - | 103.53/26.86 \ - - - 0A / 103.53/26.88 4 Wk / 0A - 1A - \ 103.53/26.88 | - - - - | 103.53/26.88 | - - - - | 103.53/26.88 \ - - - 0A / 103.81/26.89 5 Wk / 0A 2A 0A 0A \ 103.81/26.89 | - - - - | 103.81/26.89 | - - - - | 103.81/26.89 \ - - - 0A / 103.81/26.90 7 Wk / 6A - 1A - \ 103.81/26.90 | - - - - | 103.81/26.90 | - - - - | 103.81/26.90 \ - - - 0A / 103.81/26.90 [4, 1] |-> [5, 0] 103.81/26.92 lhs rhs ge gt 103.81/26.92 Wk / 7A - 4A 6A \ Wk / 6A - 3A 4A \ True True 103.81/26.92 | - - - - | | - - - - | 103.81/26.92 | - - - - | | - - - - | 103.81/26.92 \ - - - 0A / \ - - - 0A / 103.81/26.92 [5, 0, 2] |-> [7, 1] 104.11/26.97 lhs rhs ge gt 104.11/26.97 Wk / 7A - 4A 6A \ Wk / 7A - 4A 6A \ True False 104.11/26.97 | - - - - | | - - - - | 104.11/26.97 | - - - - | | - - - - | 104.11/26.97 \ - - - 0A / \ - - - 0A / 104.11/26.97 [7] |-> [4] 104.98/27.27 lhs rhs ge gt 104.98/27.27 Wk / 6A - 1A - \ Wk / 0A - 1A - \ True False 104.98/27.27 | - - - - | | - - - - | 104.98/27.27 | - - - - | | - - - - | 104.98/27.27 \ - - - 0A / \ - - - 0A / 104.98/27.27 [0, 1] ->= [2, 0] 105.27/27.30 lhs rhs ge gt 105.27/27.30 Wk / - - - 1A \ Wk / - - - 1A \ True False 105.27/27.30 | 7A - 4A 6A | | 7A - 3A 4A | 105.27/27.30 | 7A - - 6A | | 7A - - 5A | 105.27/27.30 \ - - - 0A / \ - - - 0A / 105.27/27.30 [1] ->= [2, 2, 2] 105.27/27.30 lhs rhs ge gt 105.27/27.30 Wk / 1A - - 0A \ Wk / 0A - - 0A \ True False 105.27/27.30 | 7A 6A 6A 5A | | 7A 6A 5A 5A | 105.27/27.30 | 6A - 3A 5A | | 6A - 3A 5A | 105.27/27.30 \ - - - 0A / \ - - - 0A / 105.27/27.30 [2, 0, 2] ->= [3, 1] 105.27/27.30 lhs rhs ge gt 105.27/27.30 Wk / - - - 1A \ Wk / - - - 1A \ True False 105.27/27.30 | 7A - 4A 7A | | 7A - 4A 6A | 105.27/27.30 | 7A - - 7A | | 7A - - 6A | 105.27/27.30 \ - - - 0A / \ - - - 0A / 105.27/27.30 [3] ->= [0] 105.27/27.30 lhs rhs ge gt 105.27/27.30 Wk / - - - 1A \ Wk / - - - 1A \ True False 105.27/27.30 | 4A - 1A 5A | | 4A - 1A 2A | 105.27/27.30 | 6A - - - | | 6A - - - | 105.27/27.30 \ - - - 0A / \ - - - 0A / 105.27/27.30 property Termination 105.27/27.30 has value True 105.27/27.30 for SRS ( [5, 0, 2] |-> [7, 1], [7] |-> [4], [0, 1] ->= [2, 0], [1] ->= [2, 2, 2], [2, 0, 2] ->= [3, 1], [3] ->= [0]) 105.27/27.30 reason 105.27/27.30 weights 105.27/27.30 Map [(5, 2/1), (7, 1/1)] 105.27/27.30 105.27/27.30 property Termination 105.27/27.30 has value True 105.27/27.30 for SRS ( [0, 1] ->= [2, 0], [1] ->= [2, 2, 2], [2, 0, 2] ->= [3, 1], [3] ->= [0]) 105.27/27.30 reason 105.27/27.30 EDG has 0 SCCs 105.27/27.30 105.27/27.30 ************************************************** 105.27/27.30 summary 105.27/27.30 ************************************************** 105.27/27.30 SRS with 4 rules on 4 letters Remap { tracing = False} 105.27/27.30 SRS with 4 rules on 4 letters reverse each lhs and rhs 105.27/27.30 SRS with 4 rules on 4 letters DP transform 105.27/27.30 SRS with 12 rules on 8 letters Remap { tracing = False} 105.27/27.30 SRS with 12 rules on 8 letters weights 105.27/27.30 SRS with 8 rules on 7 letters EDG 105.27/27.30 SRS with 8 rules on 7 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 105.27/27.30 SRS with 7 rules on 7 letters EDG 105.27/27.30 SRS with 7 rules on 7 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 105.27/27.30 SRS with 6 rules on 7 letters weights 105.27/27.30 SRS with 4 rules on 4 letters EDG 105.27/27.30 105.27/27.30 ************************************************** 105.27/27.31 (4, 4)\Deepee(12, 8)\Weight(8, 7)\Matrix{\Arctic}{2}(7, 7)\Matrix{\Arctic}{4}(6, 7)\Weight(4, 4)\EDG[] 105.27/27.31 ************************************************** 105.66/27.39 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]} 105.66/27.39 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 106.24/27.53 EOF