6.73/1.78 YES 6.73/1.78 property Termination 6.73/1.78 has value True 6.73/1.78 for SRS ( [a] -> [], [a, b, b] -> [b, b, b, c, a], [b, c] -> [a]) 6.73/1.78 reason 6.73/1.78 remap for 3 rules 6.73/1.78 property Termination 6.73/1.78 has value True 6.73/1.78 for SRS ( [0] -> [], [0, 1, 1] -> [1, 1, 1, 2, 0], [1, 2] -> [0]) 6.73/1.78 reason 6.73/1.78 DP transform 6.73/1.78 property Termination 6.73/1.78 has value True 6.73/1.78 for SRS ( [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2, 0], [1, 2] ->= [0], [0#, 1, 1] |-> [1#, 1, 1, 2, 0], [0#, 1, 1] |-> [1#, 1, 2, 0], [0#, 1, 1] |-> [1#, 2, 0], [0#, 1, 1] |-> [0#], [1#, 2] |-> [0#]) 6.73/1.78 reason 6.73/1.78 remap for 8 rules 6.73/1.78 property Termination 6.73/1.78 has value True 6.73/1.78 for SRS ( [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2, 0], [1, 2] ->= [0], [3, 1, 1] |-> [4, 1, 1, 2, 0], [3, 1, 1] |-> [4, 1, 2, 0], [3, 1, 1] |-> [4, 2, 0], [3, 1, 1] |-> [3], [4, 2] |-> [3]) 6.73/1.78 reason 6.73/1.78 EDG has 1 SCCs 6.73/1.78 property Termination 6.73/1.78 has value True 6.73/1.78 for SRS ( [3, 1, 1] |-> [4, 1, 1, 2, 0], [4, 2] |-> [3], [3, 1, 1] |-> [3], [3, 1, 1] |-> [4, 2, 0], [3, 1, 1] |-> [4, 1, 2, 0], [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2, 0], [1, 2] ->= [0]) 6.73/1.78 reason 6.73/1.78 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 6.73/1.78 interpretation 6.73/1.78 0 / 0A 0A \ 6.73/1.78 \ 0A 0A / 6.73/1.78 1 / 0A 2A \ 6.73/1.78 \ 0A 0A / 6.73/1.78 2 / 0A 0A \ 6.73/1.78 \ -2A -2A / 6.73/1.78 3 / 23A 23A \ 6.73/1.78 \ 23A 23A / 6.73/1.78 4 / 23A 23A \ 6.73/1.78 \ 23A 23A / 6.73/1.78 [3, 1, 1] |-> [4, 1, 1, 2, 0] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 25A 25A \ / 25A 25A \ True False 6.73/1.78 \ 25A 25A / \ 25A 25A / 6.73/1.78 [4, 2] |-> [3] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 23A 23A \ / 23A 23A \ True False 6.73/1.78 \ 23A 23A / \ 23A 23A / 6.73/1.78 [3, 1, 1] |-> [3] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 25A 25A \ / 23A 23A \ True True 6.73/1.78 \ 25A 25A / \ 23A 23A / 6.73/1.78 [3, 1, 1] |-> [4, 2, 0] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 25A 25A \ / 23A 23A \ True True 6.73/1.78 \ 25A 25A / \ 23A 23A / 6.73/1.78 [3, 1, 1] |-> [4, 1, 2, 0] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 25A 25A \ / 23A 23A \ True True 6.73/1.78 \ 25A 25A / \ 23A 23A / 6.73/1.78 [0] ->= [] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 0A 0A \ / 0A - \ True False 6.73/1.78 \ 0A 0A / \ - 0A / 6.73/1.78 [0, 1, 1] ->= [1, 1, 1, 2, 0] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 2A 2A \ / 2A 2A \ True False 6.73/1.78 \ 2A 2A / \ 2A 2A / 6.73/1.78 [1, 2] ->= [0] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 0A 0A \ / 0A 0A \ True False 6.73/1.78 \ 0A 0A / \ 0A 0A / 6.73/1.78 property Termination 6.73/1.78 has value True 6.73/1.78 for SRS ( [3, 1, 1] |-> [4, 1, 1, 2, 0], [4, 2] |-> [3], [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2, 0], [1, 2] ->= [0]) 6.73/1.78 reason 6.73/1.78 EDG has 1 SCCs 6.73/1.78 property Termination 6.73/1.78 has value True 6.73/1.78 for SRS ( [3, 1, 1] |-> [4, 1, 1, 2, 0], [4, 2] |-> [3], [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2, 0], [1, 2] ->= [0]) 6.73/1.78 reason 6.73/1.78 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 6.73/1.78 interpretation 6.73/1.78 0 / 0A 0A 3A \ 6.73/1.78 | 0A 0A 3A | 6.73/1.78 \ -3A -3A 0A / 6.73/1.78 1 / 0A 0A 3A \ 6.73/1.78 | 0A 0A 3A | 6.73/1.78 \ -3A 0A 0A / 6.73/1.78 2 / 0A 0A 3A \ 6.73/1.78 | -3A -3A 0A | 6.73/1.78 \ -3A -3A 0A / 6.73/1.78 3 / 14A 14A 17A \ 6.73/1.78 | 14A 14A 17A | 6.73/1.78 \ 14A 14A 17A / 6.73/1.78 4 / 14A 14A 14A \ 6.73/1.78 | 14A 14A 14A | 6.73/1.78 \ 14A 14A 14A / 6.73/1.78 [3, 1, 1] |-> [4, 1, 1, 2, 0] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 17A 17A 20A \ / 14A 14A 17A \ True True 6.73/1.78 | 17A 17A 20A | | 14A 14A 17A | 6.73/1.78 \ 17A 17A 20A / \ 14A 14A 17A / 6.73/1.78 [4, 2] |-> [3] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 14A 14A 17A \ / 14A 14A 17A \ True False 6.73/1.78 | 14A 14A 17A | | 14A 14A 17A | 6.73/1.78 \ 14A 14A 17A / \ 14A 14A 17A / 6.73/1.78 [0] ->= [] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 0A 0A 3A \ / 0A - - \ True False 6.73/1.78 | 0A 0A 3A | | - 0A - | 6.73/1.78 \ -3A -3A 0A / \ - - 0A / 6.73/1.78 [0, 1, 1] ->= [1, 1, 1, 2, 0] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 3A 3A 6A \ / 3A 3A 6A \ True False 6.73/1.78 | 3A 3A 6A | | 3A 3A 6A | 6.73/1.78 \ 0A 0A 3A / \ 0A 0A 3A / 6.73/1.78 [1, 2] ->= [0] 6.73/1.78 lhs rhs ge gt 6.73/1.78 / 0A 0A 3A \ / 0A 0A 3A \ True False 6.73/1.78 | 0A 0A 3A | | 0A 0A 3A | 6.73/1.78 \ -3A -3A 0A / \ -3A -3A 0A / 6.73/1.78 property Termination 6.73/1.78 has value True 6.73/1.78 for SRS ( [4, 2] |-> [3], [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2, 0], [1, 2] ->= [0]) 6.73/1.78 reason 6.73/1.78 weights 6.73/1.78 Map [(4, 1/1)] 6.73/1.78 6.73/1.78 property Termination 6.73/1.78 has value True 6.73/1.78 for SRS ( [0] ->= [], [0, 1, 1] ->= [1, 1, 1, 2, 0], [1, 2] ->= [0]) 6.73/1.78 reason 6.73/1.78 EDG has 0 SCCs 6.73/1.78 6.73/1.78 ************************************************** 6.73/1.78 summary 6.73/1.78 ************************************************** 6.73/1.78 SRS with 3 rules on 3 letters Remap { tracing = False} 6.73/1.78 SRS with 3 rules on 3 letters DP transform 6.73/1.78 SRS with 8 rules on 5 letters Remap { tracing = False} 6.73/1.78 SRS with 8 rules on 5 letters EDG 6.73/1.78 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 6.73/1.78 SRS with 5 rules on 5 letters EDG 6.73/1.78 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 6.73/1.78 SRS with 4 rules on 5 letters weights 6.73/1.78 SRS with 3 rules on 3 letters EDG 6.73/1.78 6.73/1.78 ************************************************** 6.73/1.78 (3, 3)\Deepee(8, 5)\Matrix{\Arctic}{2}(5, 5)\Matrix{\Arctic}{3}(4, 5)\Weight(3, 3)\EDG[] 6.73/1.78 ************************************************** 7.03/1.80 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]} 7.03/1.80 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 7.03/1.84 EOF