39.84/10.13 YES 39.84/10.13 property Termination 39.84/10.13 has value True 39.84/10.13 for SRS ( [a, a, a] -> [b], [b, b] -> [b, a, b], [b, b] -> [a, a]) 39.84/10.13 reason 39.84/10.13 remap for 3 rules 39.84/10.13 property Termination 39.84/10.13 has value True 39.84/10.13 for SRS ( [0, 0, 0] -> [1], [1, 1] -> [1, 0, 1], [1, 1] -> [0, 0]) 39.84/10.13 reason 39.84/10.13 DP transform 39.84/10.13 property Termination 39.84/10.13 has value True 39.84/10.13 for SRS ( [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [1, 1] ->= [0, 0], [0#, 0, 0] |-> [1#], [1#, 1] |-> [1#, 0, 1], [1#, 1] |-> [0#, 1], [1#, 1] |-> [0#, 0], [1#, 1] |-> [0#]) 39.84/10.13 reason 39.84/10.13 remap for 8 rules 39.84/10.13 property Termination 39.84/10.13 has value True 39.84/10.13 for SRS ( [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [1, 1] ->= [0, 0], [2, 0, 0] |-> [3], [3, 1] |-> [3, 0, 1], [3, 1] |-> [2, 1], [3, 1] |-> [2, 0], [3, 1] |-> [2]) 39.84/10.13 reason 39.84/10.13 EDG has 1 SCCs 39.84/10.13 property Termination 39.84/10.13 has value True 39.84/10.13 for SRS ( [2, 0, 0] |-> [3], [3, 1] |-> [2], [3, 1] |-> [2, 0], [3, 1] |-> [2, 1], [3, 1] |-> [3, 0, 1], [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [1, 1] ->= [0, 0]) 39.84/10.13 reason 39.84/10.13 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 39.84/10.13 interpretation 39.84/10.13 0 / 0A 2A \ 39.84/10.13 \ 0A 0A / 39.84/10.13 1 / 0A 2A \ 39.84/10.13 \ 0A 2A / 39.84/10.13 2 / 13A 14A \ 39.84/10.13 \ 13A 14A / 39.84/10.13 3 / 14A 16A \ 39.84/10.13 \ 14A 16A / 39.84/10.13 [2, 0, 0] |-> [3] 39.84/10.13 lhs rhs ge gt 39.84/10.13 / 15A 16A \ / 14A 16A \ True False 39.84/10.13 \ 15A 16A / \ 14A 16A / 39.84/10.13 [3, 1] |-> [2] 39.84/10.13 lhs rhs ge gt 39.84/10.13 / 16A 18A \ / 13A 14A \ True True 39.84/10.13 \ 16A 18A / \ 13A 14A / 39.84/10.13 [3, 1] |-> [2, 0] 39.84/10.13 lhs rhs ge gt 39.84/10.13 / 16A 18A \ / 14A 15A \ True True 39.84/10.13 \ 16A 18A / \ 14A 15A / 39.84/10.13 [3, 1] |-> [2, 1] 39.84/10.13 lhs rhs ge gt 39.84/10.13 / 16A 18A \ / 14A 16A \ True True 39.84/10.13 \ 16A 18A / \ 14A 16A / 39.84/10.13 [3, 1] |-> [3, 0, 1] 39.84/10.13 lhs rhs ge gt 39.84/10.13 / 16A 18A \ / 16A 18A \ True False 39.84/10.13 \ 16A 18A / \ 16A 18A / 39.84/10.13 [0, 0, 0] ->= [1] 39.84/10.13 lhs rhs ge gt 39.84/10.13 / 2A 4A \ / 0A 2A \ True False 39.84/10.13 \ 2A 2A / \ 0A 2A / 39.84/10.13 [1, 1] ->= [1, 0, 1] 39.84/10.13 lhs rhs ge gt 39.84/10.13 / 2A 4A \ / 2A 4A \ True False 39.84/10.13 \ 2A 4A / \ 2A 4A / 39.84/10.13 [1, 1] ->= [0, 0] 39.84/10.13 lhs rhs ge gt 39.84/10.13 / 2A 4A \ / 2A 2A \ True False 39.84/10.13 \ 2A 4A / \ 0A 2A / 39.84/10.13 property Termination 39.84/10.13 has value True 39.84/10.13 for SRS ( [2, 0, 0] |-> [3], [3, 1] |-> [3, 0, 1], [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [1, 1] ->= [0, 0]) 39.84/10.13 reason 39.84/10.13 weights 39.84/10.13 Map [(2, 1/1)] 39.84/10.13 39.84/10.13 property Termination 39.84/10.13 has value True 39.84/10.13 for SRS ( [3, 1] |-> [3, 0, 1], [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [1, 1] ->= [0, 0]) 39.84/10.13 reason 39.84/10.13 EDG has 1 SCCs 39.84/10.13 property Termination 39.84/10.13 has value True 39.84/10.13 for SRS ( [3, 1] |-> [3, 0, 1], [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [1, 1] ->= [0, 0]) 39.84/10.13 reason 39.84/10.13 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 39.84/10.13 interpretation 39.84/10.13 0 Wk / - 0A - 0A \ 39.84/10.13 | 2A 1A 0A - | 39.84/10.13 | - 2A - - | 39.84/10.13 \ - - - 0A / 39.84/10.13 1 Wk / 2A 0A 0A 0A \ 39.84/10.13 | 2A - - 0A | 39.84/10.13 | 5A 0A 1A 3A | 39.84/10.13 \ - - - 0A / 39.84/10.13 3 Wk / 4A 1A 2A - \ 39.84/10.13 | - - - - | 39.84/10.13 | - - - - | 39.84/10.13 \ - - - 0A / 39.84/10.13 [3, 1] |-> [3, 0, 1] 39.84/10.14 lhs rhs ge gt 39.84/10.14 Wk / 7A 4A 4A 5A \ Wk / 6A 3A 3A 4A \ True True 39.84/10.14 | - - - - | | - - - - | 39.84/10.14 | - - - - | | - - - - | 39.84/10.14 \ - - - 0A / \ - - - 0A / 39.84/10.14 [0, 0, 0] ->= [1] 39.84/10.14 lhs rhs ge gt 39.84/10.14 Wk / 3A 2A 1A 2A \ Wk / 2A 0A 0A 0A \ True False 39.84/10.14 | 4A 3A 2A 3A | | 2A - - 0A | 39.84/10.14 | 5A 4A 3A 4A | | 5A 0A 1A 3A | 39.84/10.14 \ - - - 0A / \ - - - 0A / 39.84/10.14 [1, 1] ->= [1, 0, 1] 39.84/10.14 lhs rhs ge gt 39.84/10.14 Wk / 5A 2A 2A 3A \ Wk / 5A 2A 2A 3A \ True False 39.84/10.14 | 4A 2A 2A 2A | | 4A - - 2A | 39.84/10.14 | 7A 5A 5A 5A | | 7A 2A 2A 5A | 39.84/10.14 \ - - - 0A / \ - - - 0A / 39.84/10.14 [1, 1] ->= [0, 0] 39.84/10.14 lhs rhs ge gt 39.84/10.14 Wk / 5A 2A 2A 3A \ Wk / 2A 1A 0A 0A \ True False 39.84/10.14 | 4A 2A 2A 2A | | 3A 2A 1A 2A | 39.84/10.14 | 7A 5A 5A 5A | | 4A 3A 2A - | 39.84/10.14 \ - - - 0A / \ - - - 0A / 39.84/10.14 property Termination 39.84/10.14 has value True 39.84/10.14 for SRS ( [0, 0, 0] ->= [1], [1, 1] ->= [1, 0, 1], [1, 1] ->= [0, 0]) 39.84/10.14 reason 39.84/10.14 EDG has 0 SCCs 39.84/10.14 39.84/10.14 ************************************************** 39.84/10.14 summary 39.84/10.14 ************************************************** 39.84/10.14 SRS with 3 rules on 2 letters Remap { tracing = False} 39.84/10.14 SRS with 3 rules on 2 letters DP transform 39.84/10.14 SRS with 8 rules on 4 letters Remap { tracing = False} 39.84/10.14 SRS with 8 rules on 4 letters EDG 39.84/10.14 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 39.84/10.14 SRS with 5 rules on 4 letters weights 39.84/10.14 SRS with 4 rules on 3 letters EDG 39.84/10.14 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 39.84/10.14 SRS with 3 rules on 2 letters EDG 39.84/10.14 39.84/10.14 ************************************************** 39.84/10.14 (3, 2)\Deepee(8, 4)\Matrix{\Arctic}{2}(5, 4)\Weight(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 39.84/10.14 ************************************************** 40.12/10.15 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]} 40.12/10.15 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 40.25/10.33 EOF