28.03/7.11 YES 28.03/7.11 property Termination 28.03/7.11 has value True 28.03/7.11 for SRS ( [a] -> [b], [a, b] -> [], [b, a] -> [a, c, a, b], [c, c] -> []) 28.03/7.11 reason 28.03/7.11 remap for 4 rules 28.03/7.11 property Termination 28.03/7.11 has value True 28.03/7.11 for SRS ( [0] -> [1], [0, 1] -> [], [1, 0] -> [0, 2, 0, 1], [2, 2] -> []) 28.03/7.11 reason 28.03/7.11 reverse each lhs and rhs 28.03/7.11 property Termination 28.03/7.11 has value True 28.03/7.11 for SRS ( [0] -> [1], [1, 0] -> [], [0, 1] -> [1, 0, 2, 0], [2, 2] -> []) 28.03/7.11 reason 28.03/7.11 DP transform 28.03/7.11 property Termination 28.03/7.11 has value True 28.03/7.11 for SRS ( [0] ->= [1], [1, 0] ->= [], [0, 1] ->= [1, 0, 2, 0], [2, 2] ->= [], [0#] |-> [1#], [0#, 1] |-> [1#, 0, 2, 0], [0#, 1] |-> [0#, 2, 0], [0#, 1] |-> [2#, 0], [0#, 1] |-> [0#]) 28.03/7.11 reason 28.03/7.11 remap for 9 rules 28.03/7.11 property Termination 28.03/7.11 has value True 28.03/7.11 for SRS ( [0] ->= [1], [1, 0] ->= [], [0, 1] ->= [1, 0, 2, 0], [2, 2] ->= [], [3] |-> [4], [3, 1] |-> [4, 0, 2, 0], [3, 1] |-> [3, 2, 0], [3, 1] |-> [5, 0], [3, 1] |-> [3]) 28.03/7.11 reason 28.03/7.11 weights 28.03/7.11 Map [(3, 3/1)] 28.03/7.11 28.03/7.11 property Termination 28.03/7.11 has value True 28.03/7.11 for SRS ( [0] ->= [1], [1, 0] ->= [], [0, 1] ->= [1, 0, 2, 0], [2, 2] ->= [], [3, 1] |-> [3, 2, 0], [3, 1] |-> [3]) 28.03/7.11 reason 28.03/7.11 EDG has 1 SCCs 28.03/7.11 property Termination 28.03/7.11 has value True 28.03/7.11 for SRS ( [3, 1] |-> [3, 2, 0], [3, 1] |-> [3], [0] ->= [1], [1, 0] ->= [], [0, 1] ->= [1, 0, 2, 0], [2, 2] ->= []) 28.03/7.11 reason 28.03/7.11 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 28.03/7.11 interpretation 28.03/7.11 0 Wk / - 0A 0A 0A \ 28.03/7.11 | 0A 2A 3A 4A | 28.03/7.11 | - - 0A 0A | 28.03/7.11 \ - - - 0A / 28.03/7.11 1 Wk / - 0A - 0A \ 28.03/7.11 | 0A 2A 3A 4A | 28.03/7.11 | - - 0A - | 28.03/7.11 \ - - - 0A / 28.03/7.11 2 Wk / - 0A 0A 0A \ 28.03/7.11 | 0A - - 1A | 28.03/7.11 | - - 0A - | 28.03/7.11 \ - - - 0A / 28.03/7.11 3 Wk / - 0A - 2A \ 28.03/7.11 | - - - - | 28.03/7.11 | - - - - | 28.03/7.11 \ - - - 0A / 28.03/7.11 [3, 1] |-> [3, 2, 0] 28.03/7.11 lhs rhs ge gt 28.03/7.11 Wk / 0A 2A 3A 4A \ Wk / - 0A 0A 2A \ True True 28.03/7.11 | - - - - | | - - - - | 28.03/7.11 | - - - - | | - - - - | 28.03/7.11 \ - - - 0A / \ - - - 0A / 28.03/7.11 [3, 1] |-> [3] 28.03/7.11 lhs rhs ge gt 28.03/7.11 Wk / 0A 2A 3A 4A \ Wk / - 0A - 2A \ True True 28.03/7.11 | - - - - | | - - - - | 28.03/7.11 | - - - - | | - - - - | 28.03/7.11 \ - - - 0A / \ - - - 0A / 28.03/7.11 [0] ->= [1] 28.03/7.11 lhs rhs ge gt 28.03/7.11 Wk / - 0A 0A 0A \ Wk / - 0A - 0A \ True False 28.03/7.11 | 0A 2A 3A 4A | | 0A 2A 3A 4A | 28.03/7.11 | - - 0A 0A | | - - 0A - | 28.03/7.11 \ - - - 0A / \ - - - 0A / 28.03/7.11 [1, 0] ->= [] 28.03/7.11 lhs rhs ge gt 28.03/7.11 Wk / 0A 2A 3A 4A \ Wk / 0A - - - \ True False 28.03/7.11 | 2A 4A 5A 6A | | - 0A - - | 28.03/7.11 | - - 0A 0A | | - - 0A - | 28.03/7.11 \ - - - 0A / \ - - - 0A / 28.03/7.11 [0, 1] ->= [1, 0, 2, 0] 28.03/7.11 lhs rhs ge gt 28.03/7.11 Wk / 0A 2A 3A 4A \ Wk / 0A 2A 3A 4A \ True False 28.03/7.11 | 2A 4A 5A 6A | | 2A 4A 5A 6A | 28.03/7.11 | - - 0A 0A | | - - 0A 0A | 28.03/7.11 \ - - - 0A / \ - - - 0A / 28.03/7.11 [2, 2] ->= [] 28.03/7.11 lhs rhs ge gt 28.03/7.11 Wk / 0A - 0A 1A \ Wk / 0A - - - \ True False 28.03/7.11 | - 0A 0A 1A | | - 0A - - | 28.03/7.11 | - - 0A - | | - - 0A - | 28.03/7.11 \ - - - 0A / \ - - - 0A / 28.03/7.11 property Termination 28.03/7.11 has value True 28.03/7.11 for SRS ( [0] ->= [1], [1, 0] ->= [], [0, 1] ->= [1, 0, 2, 0], [2, 2] ->= []) 28.03/7.11 reason 28.03/7.11 EDG has 0 SCCs 28.03/7.11 28.03/7.11 ************************************************** 28.03/7.11 summary 28.03/7.11 ************************************************** 28.03/7.11 SRS with 4 rules on 3 letters Remap { tracing = False} 28.03/7.11 SRS with 4 rules on 3 letters reverse each lhs and rhs 28.03/7.11 SRS with 4 rules on 3 letters DP transform 28.03/7.11 SRS with 9 rules on 6 letters Remap { tracing = False} 28.03/7.11 SRS with 9 rules on 6 letters weights 28.03/7.11 SRS with 6 rules on 4 letters EDG 28.03/7.11 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 28.03/7.11 SRS with 4 rules on 3 letters EDG 28.03/7.11 28.03/7.11 ************************************************** 28.03/7.12 (4, 3)\Deepee(9, 6)\Weight(6, 4)\Matrix{\Arctic}{4}(4, 3)\EDG[] 28.03/7.12 ************************************************** 28.03/7.13 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]} 28.03/7.13 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 28.32/7.21 EOF