43.70/11.07 YES 43.70/11.07 property Termination 43.70/11.07 has value True 43.70/11.07 for SRS ( [b, b, b] -> [a], [a, a, a] -> [b, b], [a, a] -> [a, b, a]) 43.70/11.07 reason 43.70/11.07 remap for 3 rules 43.70/11.07 property Termination 43.70/11.07 has value True 43.70/11.07 for SRS ( [0, 0, 0] -> [1], [1, 1, 1] -> [0, 0], [1, 1] -> [1, 0, 1]) 43.70/11.07 reason 43.70/11.07 reverse each lhs and rhs 43.70/11.07 property Termination 43.70/11.07 has value True 43.70/11.07 for SRS ( [0, 0, 0] -> [1], [1, 1, 1] -> [0, 0], [1, 1] -> [1, 0, 1]) 43.70/11.07 reason 43.70/11.07 DP transform 43.70/11.07 property Termination 43.70/11.07 has value True 43.70/11.07 for SRS ( [0, 0, 0] ->= [1], [1, 1, 1] ->= [0, 0], [1, 1] ->= [1, 0, 1], [0#, 0, 0] |-> [1#], [1#, 1, 1] |-> [0#, 0], [1#, 1, 1] |-> [0#], [1#, 1] |-> [1#, 0, 1], [1#, 1] |-> [0#, 1]) 43.70/11.07 reason 43.70/11.07 remap for 8 rules 43.70/11.07 property Termination 43.70/11.07 has value True 43.70/11.07 for SRS ( [0, 0, 0] ->= [1], [1, 1, 1] ->= [0, 0], [1, 1] ->= [1, 0, 1], [2, 0, 0] |-> [3], [3, 1, 1] |-> [2, 0], [3, 1, 1] |-> [2], [3, 1] |-> [3, 0, 1], [3, 1] |-> [2, 1]) 43.70/11.07 reason 43.70/11.07 EDG has 1 SCCs 43.70/11.07 property Termination 43.70/11.07 has value True 43.70/11.07 for SRS ( [2, 0, 0] |-> [3], [3, 1] |-> [2, 1], [3, 1] |-> [3, 0, 1], [3, 1, 1] |-> [2], [3, 1, 1] |-> [2, 0], [0, 0, 0] ->= [1], [1, 1, 1] ->= [0, 0], [1, 1] ->= [1, 0, 1]) 43.70/11.07 reason 43.70/11.07 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 43.70/11.07 interpretation 43.70/11.07 0 / 0A 2A \ 43.70/11.07 \ 0A 2A / 43.70/11.07 1 / 2A 2A \ 43.70/11.07 \ 0A 0A / 43.70/11.07 2 / 11A 13A \ 43.70/11.07 \ 11A 13A / 43.70/11.07 3 / 15A 15A \ 43.70/11.07 \ 15A 15A / 43.70/11.07 [2, 0, 0] |-> [3] 43.70/11.07 lhs rhs ge gt 43.70/11.07 / 15A 17A \ / 15A 15A \ True False 43.70/11.07 \ 15A 17A / \ 15A 15A / 43.70/11.07 [3, 1] |-> [2, 1] 43.70/11.07 lhs rhs ge gt 43.70/11.07 / 17A 17A \ / 13A 13A \ True True 43.70/11.07 \ 17A 17A / \ 13A 13A / 43.70/11.07 [3, 1] |-> [3, 0, 1] 43.70/11.07 lhs rhs ge gt 43.70/11.07 / 17A 17A \ / 17A 17A \ True False 43.70/11.07 \ 17A 17A / \ 17A 17A / 43.70/11.07 [3, 1, 1] |-> [2] 43.70/11.07 lhs rhs ge gt 43.70/11.07 / 19A 19A \ / 11A 13A \ True True 43.70/11.07 \ 19A 19A / \ 11A 13A / 43.70/11.07 [3, 1, 1] |-> [2, 0] 43.70/11.07 lhs rhs ge gt 43.70/11.07 / 19A 19A \ / 13A 15A \ True True 43.70/11.07 \ 19A 19A / \ 13A 15A / 43.70/11.07 [0, 0, 0] ->= [1] 43.70/11.07 lhs rhs ge gt 43.70/11.07 / 4A 6A \ / 2A 2A \ True True 43.70/11.07 \ 4A 6A / \ 0A 0A / 43.70/11.07 [1, 1, 1] ->= [0, 0] 43.70/11.07 lhs rhs ge gt 43.70/11.07 / 6A 6A \ / 2A 4A \ True False 43.70/11.07 \ 4A 4A / \ 2A 4A / 43.70/11.07 [1, 1] ->= [1, 0, 1] 43.70/11.07 lhs rhs ge gt 43.70/11.07 / 4A 4A \ / 4A 4A \ True False 43.70/11.07 \ 2A 2A / \ 2A 2A / 43.70/11.07 property Termination 43.70/11.07 has value True 43.70/11.07 for SRS ( [2, 0, 0] |-> [3], [3, 1] |-> [3, 0, 1], [0, 0, 0] ->= [1], [1, 1, 1] ->= [0, 0], [1, 1] ->= [1, 0, 1]) 43.70/11.07 reason 43.70/11.07 weights 43.70/11.07 Map [(2, 1/1)] 43.70/11.07 43.70/11.07 property Termination 43.70/11.07 has value True 43.70/11.07 for SRS ( [3, 1] |-> [3, 0, 1], [0, 0, 0] ->= [1], [1, 1, 1] ->= [0, 0], [1, 1] ->= [1, 0, 1]) 43.70/11.07 reason 43.70/11.07 EDG has 1 SCCs 43.70/11.07 property Termination 43.70/11.07 has value True 43.70/11.07 for SRS ( [3, 1] |-> [3, 0, 1], [0, 0, 0] ->= [1], [1, 1, 1] ->= [0, 0], [1, 1] ->= [1, 0, 1]) 43.70/11.07 reason 43.70/11.07 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 43.70/11.07 interpretation 43.70/11.08 0 Wk / - - 1A 0A \ 43.70/11.08 | 0A - - - | 43.70/11.08 | 3A 2A 1A 3A | 43.70/11.08 \ - - - 0A / 43.70/11.08 1 Wk / 2A 0A - 0A \ 43.70/11.08 | 4A 3A 1A 1A | 43.70/11.08 | 0A 0A - - | 43.70/11.08 \ - - - 0A / 43.70/11.08 3 Wk / 0A 0A - - \ 43.70/11.08 | - - - - | 43.70/11.08 | - - - - | 43.70/11.08 \ - - - 0A / 43.70/11.08 [3, 1] |-> [3, 0, 1] 43.70/11.08 lhs rhs ge gt 43.70/11.08 Wk / 4A 3A 1A 1A \ Wk / 2A 1A - 0A \ True True 43.70/11.08 | - - - - | | - - - - | 43.70/11.08 | - - - - | | - - - - | 43.70/11.08 \ - - - 0A / \ - - - 0A / 43.70/11.08 [0, 0, 0] ->= [1] 43.70/11.08 lhs rhs ge gt 43.70/11.08 Wk / 5A 4A 5A 5A \ Wk / 2A 0A - 0A \ True False 43.70/11.08 | 4A 3A 2A 4A | | 4A 3A 1A 1A | 43.70/11.08 | 7A 6A 5A 7A | | 0A 0A - - | 43.70/11.08 \ - - - 0A / \ - - - 0A / 43.70/11.08 [1, 1, 1] ->= [0, 0] 43.70/11.08 lhs rhs ge gt 43.70/11.08 Wk / 7A 6A 4A 4A \ Wk / 4A 3A 2A 4A \ True False 43.70/11.08 | 10A 9A 7A 7A | | - - 1A 0A | 43.70/11.08 | 7A 6A 4A 4A | | 4A 3A 4A 4A | 43.70/11.08 \ - - - 0A / \ - - - 0A / 43.70/11.08 [1, 1] ->= [1, 0, 1] 43.70/11.08 lhs rhs ge gt 43.70/11.08 Wk / 4A 3A 1A 2A \ Wk / 3A 3A - 2A \ True False 43.70/11.08 | 7A 6A 4A 4A | | 7A 6A 4A 4A | 43.70/11.08 | 4A 3A 1A 1A | | 2A 1A - 0A | 43.70/11.08 \ - - - 0A / \ - - - 0A / 43.70/11.08 property Termination 43.70/11.08 has value True 43.70/11.08 for SRS ( [0, 0, 0] ->= [1], [1, 1, 1] ->= [0, 0], [1, 1] ->= [1, 0, 1]) 43.70/11.08 reason 43.70/11.08 EDG has 0 SCCs 43.70/11.08 43.70/11.08 ************************************************** 43.70/11.08 summary 43.70/11.08 ************************************************** 43.70/11.08 SRS with 3 rules on 2 letters Remap { tracing = False} 43.70/11.08 SRS with 3 rules on 2 letters reverse each lhs and rhs 43.70/11.08 SRS with 3 rules on 2 letters DP transform 43.70/11.08 SRS with 8 rules on 4 letters Remap { tracing = False} 43.70/11.08 SRS with 8 rules on 4 letters EDG 43.70/11.08 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 43.70/11.08 SRS with 5 rules on 4 letters weights 43.70/11.08 SRS with 4 rules on 3 letters EDG 43.70/11.08 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 43.70/11.08 SRS with 3 rules on 2 letters EDG 43.70/11.08 43.70/11.08 ************************************************** 43.70/11.08 (3, 2)\Deepee(8, 4)\Matrix{\Arctic}{2}(5, 4)\Weight(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 43.70/11.08 ************************************************** 43.89/11.10 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]} 43.89/11.10 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 44.05/11.26 EOF