27.67/7.04 YES 27.67/7.04 property Termination 27.67/7.04 has value True 27.67/7.04 for SRS ( [a, b, a] -> [b], [b, a, b] -> [b, b, b], [b, b] -> [a, a, a]) 27.67/7.04 reason 27.67/7.04 remap for 3 rules 27.67/7.04 property Termination 27.67/7.04 has value True 27.67/7.04 for SRS ( [0, 1, 0] -> [1], [1, 0, 1] -> [1, 1, 1], [1, 1] -> [0, 0, 0]) 27.67/7.04 reason 27.67/7.04 reverse each lhs and rhs 27.67/7.04 property Termination 27.67/7.04 has value True 27.67/7.04 for SRS ( [0, 1, 0] -> [1], [1, 0, 1] -> [1, 1, 1], [1, 1] -> [0, 0, 0]) 27.67/7.04 reason 27.67/7.04 DP transform 27.67/7.04 property Termination 27.67/7.04 has value True 27.67/7.04 for SRS ( [0, 1, 0] ->= [1], [1, 0, 1] ->= [1, 1, 1], [1, 1] ->= [0, 0, 0], [0#, 1, 0] |-> [1#], [1#, 0, 1] |-> [1#, 1, 1], [1#, 0, 1] |-> [1#, 1], [1#, 1] |-> [0#, 0, 0], [1#, 1] |-> [0#, 0], [1#, 1] |-> [0#]) 27.67/7.04 reason 27.67/7.04 remap for 9 rules 27.67/7.04 property Termination 27.67/7.04 has value True 27.67/7.04 for SRS ( [0, 1, 0] ->= [1], [1, 0, 1] ->= [1, 1, 1], [1, 1] ->= [0, 0, 0], [2, 1, 0] |-> [3], [3, 0, 1] |-> [3, 1, 1], [3, 0, 1] |-> [3, 1], [3, 1] |-> [2, 0, 0], [3, 1] |-> [2, 0], [3, 1] |-> [2]) 27.67/7.04 reason 27.67/7.04 EDG has 1 SCCs 27.67/7.04 property Termination 27.67/7.04 has value True 27.67/7.04 for SRS ( [2, 1, 0] |-> [3], [3, 1] |-> [2], [3, 1] |-> [2, 0], [3, 1] |-> [2, 0, 0], [3, 0, 1] |-> [3, 1], [3, 0, 1] |-> [3, 1, 1], [0, 1, 0] ->= [1], [1, 0, 1] ->= [1, 1, 1], [1, 1] ->= [0, 0, 0]) 27.67/7.04 reason 27.67/7.04 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 27.67/7.04 interpretation 27.67/7.04 0 / 0A 2A \ 27.67/7.04 \ 0A 0A / 27.67/7.04 1 / 2A 4A \ 27.67/7.04 \ 0A 2A / 27.67/7.04 2 / 4A 4A \ 27.67/7.04 \ 4A 4A / 27.67/7.04 3 / 5A 7A \ 27.67/7.04 \ 5A 7A / 27.67/7.04 [2, 1, 0] |-> [3] 27.67/7.04 lhs rhs ge gt 27.67/7.04 / 8A 8A \ / 5A 7A \ True True 27.67/7.04 \ 8A 8A / \ 5A 7A / 27.67/7.04 [3, 1] |-> [2] 27.67/7.04 lhs rhs ge gt 27.67/7.04 / 7A 9A \ / 4A 4A \ True True 27.67/7.04 \ 7A 9A / \ 4A 4A / 27.67/7.04 [3, 1] |-> [2, 0] 27.67/7.04 lhs rhs ge gt 27.67/7.04 / 7A 9A \ / 4A 6A \ True True 27.67/7.04 \ 7A 9A / \ 4A 6A / 27.67/7.04 [3, 1] |-> [2, 0, 0] 27.67/7.04 lhs rhs ge gt 27.67/7.04 / 7A 9A \ / 6A 6A \ True True 27.67/7.04 \ 7A 9A / \ 6A 6A / 27.67/7.04 [3, 0, 1] |-> [3, 1] 27.67/7.04 lhs rhs ge gt 27.67/7.04 / 9A 11A \ / 7A 9A \ True True 27.67/7.04 \ 9A 11A / \ 7A 9A / 27.67/7.04 [3, 0, 1] |-> [3, 1, 1] 27.67/7.04 lhs rhs ge gt 27.67/7.04 / 9A 11A \ / 9A 11A \ True False 27.67/7.04 \ 9A 11A / \ 9A 11A / 27.67/7.04 [0, 1, 0] ->= [1] 27.67/7.04 lhs rhs ge gt 27.67/7.04 / 4A 4A \ / 2A 4A \ True False 27.67/7.04 \ 4A 4A / \ 0A 2A / 27.67/7.04 [1, 0, 1] ->= [1, 1, 1] 27.67/7.04 lhs rhs ge gt 27.67/7.04 / 6A 8A \ / 6A 8A \ True False 27.67/7.04 \ 4A 6A / \ 4A 6A / 27.67/7.04 [1, 1] ->= [0, 0, 0] 27.67/7.04 lhs rhs ge gt 27.67/7.04 / 4A 6A \ / 2A 4A \ True False 27.67/7.04 \ 2A 4A / \ 2A 2A / 27.67/7.04 property Termination 27.67/7.04 has value True 27.67/7.04 for SRS ( [3, 0, 1] |-> [3, 1, 1], [0, 1, 0] ->= [1], [1, 0, 1] ->= [1, 1, 1], [1, 1] ->= [0, 0, 0]) 27.67/7.04 reason 27.67/7.04 EDG has 1 SCCs 27.67/7.04 property Termination 27.67/7.04 has value True 27.67/7.04 for SRS ( [3, 0, 1] |-> [3, 1, 1], [0, 1, 0] ->= [1], [1, 0, 1] ->= [1, 1, 1], [1, 1] ->= [0, 0, 0]) 27.67/7.04 reason 27.67/7.04 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 27.67/7.04 interpretation 27.67/7.04 0 Wk / 0A - - - \ 27.67/7.04 | 3A 0A 2A 0A | 27.67/7.04 | 1A - - - | 27.67/7.04 \ - - - 0A / 27.67/7.04 1 Wk / - 1A - 0A \ 27.67/7.04 | 1A 1A 1A - | 27.67/7.04 | 2A 2A 2A - | 27.67/7.04 \ - - - 0A / 27.67/7.04 3 Wk / 3A 2A 1A 4A \ 27.67/7.04 | - - - - | 27.67/7.04 | - - - - | 27.67/7.04 \ - - - 0A / 27.67/7.04 [3, 0, 1] |-> [3, 1, 1] 27.67/7.05 lhs rhs ge gt 27.67/7.05 Wk / 6A 6A 6A 5A \ Wk / 5A 5A 5A 4A \ True True 27.67/7.05 | - - - - | | - - - - | 27.67/7.05 | - - - - | | - - - - | 27.67/7.05 \ - - - 0A / \ - - - 0A / 27.67/7.05 [0, 1, 0] ->= [1] 27.67/7.05 lhs rhs ge gt 27.67/7.05 Wk / 4A 1A 3A 1A \ Wk / - 1A - 0A \ True False 27.67/7.05 | 7A 4A 6A 4A | | 1A 1A 1A - | 27.67/7.05 | 5A 2A 4A 2A | | 2A 2A 2A - | 27.67/7.05 \ - - - 0A / \ - - - 0A / 27.67/7.05 [1, 0, 1] ->= [1, 1, 1] 27.67/7.05 lhs rhs ge gt 27.67/7.05 Wk / 5A 5A 5A 4A \ Wk / 4A 4A 4A 2A \ True False 27.67/7.05 | 5A 5A 5A 4A | | 5A 5A 5A 3A | 27.67/7.05 | 6A 6A 6A 5A | | 6A 6A 6A 4A | 27.67/7.05 \ - - - 0A / \ - - - 0A / 27.67/7.05 [1, 1] ->= [0, 0, 0] 27.67/7.05 lhs rhs ge gt 27.67/7.05 Wk / 2A 2A 2A 0A \ Wk / 0A - - - \ True False 27.67/7.05 | 3A 3A 3A 1A | | 3A 0A 2A 0A | 27.67/7.05 | 4A 4A 4A 2A | | 1A - - - | 27.67/7.05 \ - - - 0A / \ - - - 0A / 27.67/7.05 property Termination 27.67/7.05 has value True 27.67/7.05 for SRS ( [0, 1, 0] ->= [1], [1, 0, 1] ->= [1, 1, 1], [1, 1] ->= [0, 0, 0]) 27.67/7.05 reason 27.67/7.05 EDG has 0 SCCs 27.67/7.05 27.67/7.05 ************************************************** 27.67/7.05 summary 27.67/7.05 ************************************************** 27.67/7.05 SRS with 3 rules on 2 letters Remap { tracing = False} 27.67/7.05 SRS with 3 rules on 2 letters reverse each lhs and rhs 27.67/7.05 SRS with 3 rules on 2 letters DP transform 27.67/7.05 SRS with 9 rules on 4 letters Remap { tracing = False} 27.67/7.05 SRS with 9 rules on 4 letters EDG 27.67/7.05 SRS with 9 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 27.67/7.05 SRS with 4 rules on 3 letters EDG 27.67/7.05 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 27.67/7.05 SRS with 3 rules on 2 letters EDG 27.67/7.05 27.67/7.05 ************************************************** 27.67/7.05 (3, 2)\Deepee(9, 4)\Matrix{\Arctic}{2}(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 27.67/7.05 ************************************************** 27.67/7.07 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]} 27.67/7.07 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 28.00/7.15 EOF