12.06/3.07 YES 12.06/3.07 property Termination 12.06/3.07 has value True 12.06/3.07 for SRS ( [a, a, a, b, b] -> [b, b, b], [b, a, a, a, b] -> [a, a, a, b, a, a, a], [a, a, a] -> [a, a], [b, b] -> [a, b, a]) 12.06/3.07 reason 12.06/3.07 remap for 4 rules 12.06/3.07 property Termination 12.06/3.07 has value True 12.06/3.07 for SRS ( [0, 0, 0, 1, 1] -> [1, 1, 1], [1, 0, 0, 0, 1] -> [0, 0, 0, 1, 0, 0, 0], [0, 0, 0] -> [0, 0], [1, 1] -> [0, 1, 0]) 12.06/3.07 reason 12.06/3.07 weights 12.06/3.07 Map [(0, 1/2), (1, 3/2)] 12.06/3.07 12.06/3.07 property Termination 12.06/3.07 has value True 12.06/3.07 for SRS ( [0, 0, 0, 1, 1] -> [1, 1, 1], [1, 0, 0, 0, 1] -> [0, 0, 0, 1, 0, 0, 0]) 12.06/3.07 reason 12.06/3.07 DP transform 12.06/3.07 property Termination 12.06/3.07 has value True 12.06/3.13 for SRS ( [0, 0, 0, 1, 1] ->= [1, 1, 1], [1, 0, 0, 0, 1] ->= [0, 0, 0, 1, 0, 0, 0], [0#, 0, 0, 1, 1] |-> [1#, 1, 1], [1#, 0, 0, 0, 1] |-> [0#, 0, 0, 1, 0, 0, 0], [1#, 0, 0, 0, 1] |-> [0#, 0, 1, 0, 0, 0], [1#, 0, 0, 0, 1] |-> [0#, 1, 0, 0, 0], [1#, 0, 0, 0, 1] |-> [1#, 0, 0, 0], [1#, 0, 0, 0, 1] |-> [0#, 0, 0], [1#, 0, 0, 0, 1] |-> [0#, 0], [1#, 0, 0, 0, 1] |-> [0#]) 12.06/3.13 reason 12.06/3.13 remap for 10 rules 12.06/3.13 property Termination 12.06/3.13 has value True 12.06/3.13 for SRS ( [0, 0, 0, 1, 1] ->= [1, 1, 1], [1, 0, 0, 0, 1] ->= [0, 0, 0, 1, 0, 0, 0], [2, 0, 0, 1, 1] |-> [3, 1, 1], [3, 0, 0, 0, 1] |-> [2, 0, 0, 1, 0, 0, 0], [3, 0, 0, 0, 1] |-> [2, 0, 1, 0, 0, 0], [3, 0, 0, 0, 1] |-> [2, 1, 0, 0, 0], [3, 0, 0, 0, 1] |-> [3, 0, 0, 0], [3, 0, 0, 0, 1] |-> [2, 0, 0], [3, 0, 0, 0, 1] |-> [2, 0], [3, 0, 0, 0, 1] |-> [2]) 12.06/3.13 reason 12.06/3.13 weights 12.06/3.13 Map [(0, 1/27), (1, 1/9), (3, 2/27)] 12.06/3.13 12.06/3.13 property Termination 12.06/3.13 has value True 12.06/3.13 for SRS ( [0, 0, 0, 1, 1] ->= [1, 1, 1], [1, 0, 0, 0, 1] ->= [0, 0, 0, 1, 0, 0, 0], [2, 0, 0, 1, 1] |-> [3, 1, 1], [3, 0, 0, 0, 1] |-> [2, 0, 0, 1, 0, 0, 0]) 12.06/3.13 reason 12.06/3.13 EDG has 1 SCCs 12.06/3.13 property Termination 12.06/3.13 has value True 12.06/3.13 for SRS ( [2, 0, 0, 1, 1] |-> [3, 1, 1], [3, 0, 0, 0, 1] |-> [2, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1] ->= [1, 1, 1], [1, 0, 0, 0, 1] ->= [0, 0, 0, 1, 0, 0, 0]) 12.06/3.13 reason 12.06/3.13 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 12.06/3.13 interpretation 12.06/3.13 0 / 3A 3A 3A \ 12.06/3.13 | 0A 3A 3A | 12.06/3.13 \ 0A 3A 3A / 12.06/3.13 1 / 9A 9A 12A \ 12.06/3.13 | 9A 9A 9A | 12.06/3.13 \ 6A 6A 9A / 12.06/3.13 2 / 6A 7A 7A \ 12.06/3.13 | 6A 7A 7A | 12.06/3.13 \ 6A 7A 7A / 12.06/3.13 3 / 12A 12A 15A \ 12.06/3.13 | 12A 12A 15A | 12.06/3.13 \ 12A 12A 15A / 12.06/3.13 [2, 0, 0, 1, 1] |-> [3, 1, 1] 12.06/3.13 lhs rhs ge gt 12.06/3.13 / 31A 31A 34A \ / 30A 30A 33A \ True True 12.06/3.13 | 31A 31A 34A | | 30A 30A 33A | 12.06/3.13 \ 31A 31A 34A / \ 30A 30A 33A / 12.06/3.13 [3, 0, 0, 0, 1] |-> [2, 0, 0, 1, 0, 0, 0] 12.06/3.13 lhs rhs ge gt 12.06/3.13 / 33A 33A 33A \ / 31A 33A 33A \ True False 12.06/3.13 | 33A 33A 33A | | 31A 33A 33A | 12.06/3.13 \ 33A 33A 33A / \ 31A 33A 33A / 12.06/3.13 [0, 0, 0, 1, 1] ->= [1, 1, 1] 12.06/3.13 lhs rhs ge gt 12.06/3.13 / 27A 27A 30A \ / 27A 27A 30A \ True False 12.06/3.13 | 27A 27A 30A | | 27A 27A 30A | 12.06/3.13 \ 27A 27A 30A / \ 24A 24A 27A / 12.06/3.13 [1, 0, 0, 0, 1] ->= [0, 0, 0, 1, 0, 0, 0] 12.06/3.13 lhs rhs ge gt 12.06/3.13 / 30A 30A 30A \ / 27A 30A 30A \ True False 12.06/3.13 | 27A 27A 30A | | 27A 27A 27A | 12.06/3.13 \ 27A 27A 27A / \ 27A 27A 27A / 12.06/3.13 property Termination 12.06/3.13 has value True 12.06/3.14 for SRS ( [3, 0, 0, 0, 1] |-> [2, 0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1] ->= [1, 1, 1], [1, 0, 0, 0, 1] ->= [0, 0, 0, 1, 0, 0, 0]) 12.06/3.14 reason 12.06/3.14 weights 12.06/3.14 Map [(3, 1/1)] 12.06/3.14 12.06/3.14 property Termination 12.06/3.14 has value True 12.06/3.14 for SRS ( [0, 0, 0, 1, 1] ->= [1, 1, 1], [1, 0, 0, 0, 1] ->= [0, 0, 0, 1, 0, 0, 0]) 12.06/3.14 reason 12.06/3.14 EDG has 0 SCCs 12.06/3.14 12.06/3.14 ************************************************** 12.06/3.14 summary 12.06/3.14 ************************************************** 12.06/3.14 SRS with 4 rules on 2 letters Remap { tracing = False} 12.06/3.14 SRS with 4 rules on 2 letters weights 12.06/3.14 SRS with 2 rules on 2 letters DP transform 12.06/3.14 SRS with 10 rules on 4 letters Remap { tracing = False} 12.06/3.14 SRS with 10 rules on 4 letters weights 12.06/3.14 SRS with 4 rules on 4 letters EDG 12.06/3.14 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 12.06/3.14 SRS with 3 rules on 4 letters weights 12.06/3.14 SRS with 2 rules on 2 letters EDG 12.06/3.14 12.06/3.14 ************************************************** 12.06/3.14 (4, 2)\Weight(2, 2)\Deepee(10, 4)\Weight(4, 4)\Matrix{\Arctic}{3}(3, 4)\Weight(2, 2)\EDG[] 12.06/3.14 ************************************************** 12.06/3.15 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]} 12.06/3.15 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 12.56/3.22 EOF