9.87/2.52 YES 9.87/2.52 property Termination 9.87/2.52 has value True 9.87/2.52 for SRS ( [a, a] -> [b, b], [a, b] -> [c, c], [b, c] -> [a, a]) 9.87/2.52 reason 9.87/2.52 remap for 3 rules 9.87/2.52 property Termination 9.87/2.52 has value True 9.87/2.52 for SRS ( [0, 0] -> [1, 1], [0, 1] -> [2, 2], [1, 2] -> [0, 0]) 9.87/2.52 reason 9.87/2.52 reverse each lhs and rhs 9.87/2.52 property Termination 9.87/2.52 has value True 9.87/2.52 for SRS ( [0, 0] -> [1, 1], [1, 0] -> [2, 2], [2, 1] -> [0, 0]) 9.87/2.52 reason 9.87/2.52 DP transform 9.87/2.52 property Termination 9.87/2.52 has value True 9.87/2.53 for SRS ( [0, 0] ->= [1, 1], [1, 0] ->= [2, 2], [2, 1] ->= [0, 0], [0#, 0] |-> [1#, 1], [0#, 0] |-> [1#], [1#, 0] |-> [2#, 2], [1#, 0] |-> [2#], [2#, 1] |-> [0#, 0], [2#, 1] |-> [0#]) 9.87/2.53 reason 9.87/2.53 remap for 9 rules 9.87/2.53 property Termination 9.87/2.53 has value True 9.87/2.53 for SRS ( [0, 0] ->= [1, 1], [1, 0] ->= [2, 2], [2, 1] ->= [0, 0], [3, 0] |-> [4, 1], [3, 0] |-> [4], [4, 0] |-> [5, 2], [4, 0] |-> [5], [5, 1] |-> [3, 0], [5, 1] |-> [3]) 9.87/2.53 reason 9.87/2.53 weights 9.87/2.57 Map [(0, 1/3), (1, 1/3), (2, 1/3)] 9.87/2.57 9.87/2.57 property Termination 9.87/2.57 has value True 9.87/2.57 for SRS ( [0, 0] ->= [1, 1], [1, 0] ->= [2, 2], [2, 1] ->= [0, 0], [3, 0] |-> [4, 1], [4, 0] |-> [5, 2], [5, 1] |-> [3, 0]) 9.87/2.57 reason 9.87/2.57 EDG has 1 SCCs 9.87/2.57 property Termination 9.87/2.57 has value True 9.87/2.58 for SRS ( [3, 0] |-> [4, 1], [4, 0] |-> [5, 2], [5, 1] |-> [3, 0], [0, 0] ->= [1, 1], [1, 0] ->= [2, 2], [2, 1] ->= [0, 0]) 9.87/2.58 reason 9.87/2.58 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 9.87/2.58 interpretation 9.87/2.58 0 / 15A 18A 18A \ 9.87/2.58 | 15A 15A 15A | 9.87/2.58 \ 12A 15A 15A / 9.87/2.58 1 / 15A 15A 15A \ 9.87/2.58 | 15A 15A 15A | 9.87/2.58 \ 15A 15A 15A / 9.87/2.58 2 / 15A 15A 18A \ 9.87/2.58 | 15A 15A 18A | 9.87/2.58 \ 12A 15A 15A / 9.87/2.58 3 / 6A 9A 9A \ 9.87/2.58 | 6A 9A 9A | 9.87/2.58 \ 6A 9A 9A / 9.87/2.58 4 / 9A 9A 9A \ 9.87/2.58 | 9A 9A 9A | 9.87/2.58 \ 9A 9A 9A / 9.87/2.58 5 / 9A 9A 12A \ 9.87/2.58 | 9A 9A 12A | 9.87/2.58 \ 9A 9A 12A / 9.87/2.58 [3, 0] |-> [4, 1] 9.87/2.58 lhs rhs ge gt 9.87/2.58 / 24A 24A 24A \ / 24A 24A 24A \ True False 9.87/2.58 | 24A 24A 24A | | 24A 24A 24A | 9.87/2.58 \ 24A 24A 24A / \ 24A 24A 24A / 9.87/2.58 [4, 0] |-> [5, 2] 9.87/2.58 lhs rhs ge gt 9.87/2.58 / 24A 27A 27A \ / 24A 27A 27A \ True False 9.87/2.58 | 24A 27A 27A | | 24A 27A 27A | 9.87/2.58 \ 24A 27A 27A / \ 24A 27A 27A / 9.87/2.58 [5, 1] |-> [3, 0] 9.87/2.58 lhs rhs ge gt 10.17/2.58 / 27A 27A 27A \ / 24A 24A 24A \ True True 10.17/2.58 | 27A 27A 27A | | 24A 24A 24A | 10.17/2.58 \ 27A 27A 27A / \ 24A 24A 24A / 10.17/2.58 [0, 0] ->= [1, 1] 10.17/2.58 lhs rhs ge gt 10.17/2.58 / 33A 33A 33A \ / 30A 30A 30A \ True False 10.17/2.58 | 30A 33A 33A | | 30A 30A 30A | 10.17/2.58 \ 30A 30A 30A / \ 30A 30A 30A / 10.17/2.58 [1, 0] ->= [2, 2] 10.17/2.58 lhs rhs ge gt 10.17/2.58 / 30A 33A 33A \ / 30A 33A 33A \ True False 10.17/2.58 | 30A 33A 33A | | 30A 33A 33A | 10.17/2.58 \ 30A 33A 33A / \ 30A 30A 33A / 10.17/2.58 [2, 1] ->= [0, 0] 10.17/2.58 lhs rhs ge gt 10.17/2.58 / 33A 33A 33A \ / 33A 33A 33A \ True False 10.17/2.58 | 33A 33A 33A | | 30A 33A 33A | 10.17/2.58 \ 30A 30A 30A / \ 30A 30A 30A / 10.17/2.58 property Termination 10.17/2.58 has value True 10.17/2.58 for SRS ( [3, 0] |-> [4, 1], [4, 0] |-> [5, 2], [0, 0] ->= [1, 1], [1, 0] ->= [2, 2], [2, 1] ->= [0, 0]) 10.17/2.58 reason 10.17/2.58 weights 10.17/2.59 Map [(3, 2/1), (4, 1/1)] 10.17/2.59 10.17/2.59 property Termination 10.17/2.59 has value True 10.17/2.59 for SRS ( [0, 0] ->= [1, 1], [1, 0] ->= [2, 2], [2, 1] ->= [0, 0]) 10.17/2.59 reason 10.17/2.59 EDG has 0 SCCs 10.17/2.59 10.17/2.59 ************************************************** 10.17/2.59 summary 10.17/2.59 ************************************************** 10.17/2.59 SRS with 3 rules on 3 letters Remap { tracing = False} 10.17/2.59 SRS with 3 rules on 3 letters reverse each lhs and rhs 10.17/2.59 SRS with 3 rules on 3 letters DP transform 10.17/2.59 SRS with 9 rules on 6 letters Remap { tracing = False} 10.17/2.59 SRS with 9 rules on 6 letters weights 10.17/2.59 SRS with 6 rules on 6 letters EDG 10.17/2.59 SRS with 6 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 10.17/2.59 SRS with 5 rules on 6 letters weights 10.17/2.59 SRS with 3 rules on 3 letters EDG 10.17/2.59 10.17/2.59 ************************************************** 10.17/2.60 (3, 3)\Deepee(9, 6)\Weight(6, 6)\Matrix{\Arctic}{3}(5, 6)\Weight(3, 3)\EDG[] 10.17/2.60 ************************************************** 10.60/2.69 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]} 10.60/2.69 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 10.70/2.75 EOF