74.11/18.75 YES 74.11/18.75 property Termination 74.11/18.75 has value True 74.11/18.75 for SRS ( [a] -> [], [a, a] -> [a, b, a, b], [b, b, b, b] -> [a]) 74.11/18.75 reason 74.11/18.75 remap for 3 rules 74.11/18.75 property Termination 74.11/18.75 has value True 74.11/18.75 for SRS ( [0] -> [], [0, 0] -> [0, 1, 0, 1], [1, 1, 1, 1] -> [0]) 74.11/18.75 reason 74.11/18.75 reverse each lhs and rhs 74.11/18.75 property Termination 74.11/18.75 has value True 74.11/18.75 for SRS ( [0] -> [], [0, 0] -> [1, 0, 1, 0], [1, 1, 1, 1] -> [0]) 74.11/18.75 reason 74.11/18.75 DP transform 74.11/18.75 property Termination 74.11/18.75 has value True 74.11/18.75 for SRS ( [0] ->= [], [0, 0] ->= [1, 0, 1, 0], [1, 1, 1, 1] ->= [0], [0#, 0] |-> [1#, 0, 1, 0], [0#, 0] |-> [0#, 1, 0], [0#, 0] |-> [1#, 0], [1#, 1, 1, 1] |-> [0#]) 74.11/18.75 reason 74.11/18.75 remap for 7 rules 74.11/18.75 property Termination 74.11/18.75 has value True 74.11/18.75 for SRS ( [0] ->= [], [0, 0] ->= [1, 0, 1, 0], [1, 1, 1, 1] ->= [0], [2, 0] |-> [3, 0, 1, 0], [2, 0] |-> [2, 1, 0], [2, 0] |-> [3, 0], [3, 1, 1, 1] |-> [2]) 74.11/18.75 reason 74.11/18.75 EDG has 1 SCCs 74.11/18.75 property Termination 74.11/18.75 has value True 74.11/18.75 for SRS ( [2, 0] |-> [3, 0, 1, 0], [3, 1, 1, 1] |-> [2], [2, 0] |-> [3, 0], [2, 0] |-> [2, 1, 0], [0] ->= [], [0, 0] ->= [1, 0, 1, 0], [1, 1, 1, 1] ->= [0]) 74.11/18.75 reason 74.11/18.75 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 74.11/18.75 interpretation 74.11/18.75 0 Wk / 0A 2A 1A 4A \ 74.11/18.75 | - 0A - 0A | 74.11/18.75 | 1A 3A 2A 5A | 74.11/18.75 \ - - - 0A / 74.11/18.75 1 Wk / 1A 1A 0A 4A \ 74.11/18.75 | - 0A - 0A | 74.11/18.75 | 0A 1A - 2A | 74.11/18.75 \ - - - 0A / 74.11/18.75 2 Wk / - 2A 1A 5A \ 74.11/18.75 | 1A 0A 1A - | 74.11/18.75 | - 2A 0A 0A | 74.11/18.75 \ - - - 0A / 74.11/18.75 3 Wk / 0A - - 6A \ 74.11/18.75 | 0A 4A - - | 74.11/18.75 | 0A 3A - - | 74.11/18.75 \ - - - 0A / 74.11/18.75 [2, 0] |-> [3, 0, 1, 0] 74.11/18.75 lhs rhs ge gt 74.11/18.75 Wk / 2A 4A 3A 6A \ Wk / 1A 3A 2A 6A \ True False 74.11/18.75 | 2A 4A 3A 6A | | 1A 4A 2A 5A | 74.11/18.75 | 1A 3A 2A 5A | | 1A 3A 2A 5A | 74.11/18.75 \ - - - 0A / \ - - - 0A / 74.11/18.75 [3, 1, 1, 1] |-> [2] 74.11/18.75 lhs rhs ge gt 74.11/18.75 Wk / 3A 3A 2A 6A \ Wk / - 2A 1A 5A \ True True 74.11/18.75 | 3A 4A 2A 6A | | 1A 0A 1A - | 74.11/18.75 | 3A 3A 2A 6A | | - 2A 0A 0A | 74.11/18.75 \ - - - 0A / \ - - - 0A / 74.11/18.75 [2, 0] |-> [3, 0] 74.11/18.75 lhs rhs ge gt 74.11/18.75 Wk / 2A 4A 3A 6A \ Wk / 0A 2A 1A 6A \ True False 74.11/18.75 | 2A 4A 3A 6A | | 0A 4A 1A 4A | 74.11/18.75 | 1A 3A 2A 5A | | 0A 3A 1A 4A | 74.11/18.75 \ - - - 0A / \ - - - 0A / 74.11/18.75 [2, 0] |-> [2, 1, 0] 74.11/18.75 lhs rhs ge gt 74.11/18.75 Wk / 2A 4A 3A 6A \ Wk / 1A 3A 2A 5A \ True False 74.11/18.75 | 2A 4A 3A 6A | | 2A 4A 3A 6A | 74.11/18.75 | 1A 3A 2A 5A | | 0A 2A 1A 4A | 74.11/18.75 \ - - - 0A / \ - - - 0A / 74.11/18.75 [0] ->= [] 74.11/18.76 lhs rhs ge gt 74.11/18.76 Wk / 0A 2A 1A 4A \ Wk / 0A - - - \ True False 74.11/18.76 | - 0A - 0A | | - 0A - - | 74.11/18.76 | 1A 3A 2A 5A | | - - 0A - | 74.11/18.76 \ - - - 0A / \ - - - 0A / 74.11/18.76 [0, 0] ->= [1, 0, 1, 0] 74.11/18.76 lhs rhs ge gt 74.11/18.76 Wk / 2A 4A 3A 6A \ Wk / 2A 4A 3A 6A \ True False 74.11/18.76 | - 0A - 0A | | - 0A - 0A | 74.11/18.76 | 3A 5A 4A 7A | | 1A 3A 2A 5A | 74.11/18.76 \ - - - 0A / \ - - - 0A / 74.11/18.76 [1, 1, 1, 1] ->= [0] 74.11/18.76 lhs rhs ge gt 74.11/18.76 Wk / 4A 4A 3A 7A \ Wk / 0A 2A 1A 4A \ True False 74.11/18.76 | - 0A - 0A | | - 0A - 0A | 74.11/18.76 | 3A 3A 2A 6A | | 1A 3A 2A 5A | 74.11/18.76 \ - - - 0A / \ - - - 0A / 74.11/18.76 property Termination 74.11/18.76 has value True 74.11/18.76 for SRS ( [2, 0] |-> [3, 0, 1, 0], [2, 0] |-> [3, 0], [2, 0] |-> [2, 1, 0], [0] ->= [], [0, 0] ->= [1, 0, 1, 0], [1, 1, 1, 1] ->= [0]) 74.11/18.76 reason 74.11/18.76 weights 74.11/18.76 Map [(2, 2/1)] 74.11/18.76 74.11/18.76 property Termination 74.11/18.76 has value True 74.11/18.76 for SRS ( [2, 0] |-> [2, 1, 0], [0] ->= [], [0, 0] ->= [1, 0, 1, 0], [1, 1, 1, 1] ->= [0]) 74.11/18.76 reason 74.11/18.76 EDG has 1 SCCs 74.11/18.76 property Termination 74.11/18.76 has value True 74.11/18.76 for SRS ( [2, 0] |-> [2, 1, 0], [0] ->= [], [0, 0] ->= [1, 0, 1, 0], [1, 1, 1, 1] ->= [0]) 74.11/18.76 reason 74.11/18.76 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 74.11/18.76 interpretation 74.11/18.76 0 Wk / 2A 1A 0A 5A \ 74.11/18.76 | 1A 0A - 4A | 74.11/18.76 | 2A - 0A - | 74.11/18.76 \ - - - 0A / 74.11/18.76 1 Wk / - 0A - 4A \ 74.11/18.76 | - - 0A 2A | 74.11/18.76 | 1A 2A 1A - | 74.11/18.76 \ - - - 0A / 74.11/18.76 2 Wk / 0A - - 2A \ 74.11/18.76 | - - - - | 74.11/18.76 | - - - - | 74.11/18.76 \ - - - 0A / 74.11/18.76 [2, 0] |-> [2, 1, 0] 74.11/18.76 lhs rhs ge gt 74.11/18.76 Wk / 2A 1A 0A 5A \ Wk / 1A 0A - 4A \ True True 74.11/18.76 | - - - - | | - - - - | 74.11/18.76 | - - - - | | - - - - | 74.11/18.76 \ - - - 0A / \ - - - 0A / 74.11/18.76 [0] ->= [] 74.11/18.77 lhs rhs ge gt 74.11/18.77 Wk / 2A 1A 0A 5A \ Wk / 0A - - - \ True False 74.11/18.77 | 1A 0A - 4A | | - 0A - - | 74.11/18.77 | 2A - 0A - | | - - 0A - | 74.11/18.77 \ - - - 0A / \ - - - 0A / 74.11/18.77 [0, 0] ->= [1, 0, 1, 0] 74.11/18.77 lhs rhs ge gt 74.11/18.77 Wk / 4A 3A 2A 7A \ Wk / 2A 1A 0A 5A \ True False 74.11/18.77 | 3A 2A 1A 6A | | 3A 2A 1A 6A | 74.11/18.77 | 4A 3A 2A 7A | | 4A 3A 2A 7A | 74.11/18.77 \ - - - 0A / \ - - - 0A / 74.11/18.77 [1, 1, 1, 1] ->= [0] 74.11/18.77 lhs rhs ge gt 74.11/18.77 Wk / 2A 3A 2A 5A \ Wk / 2A 1A 0A 5A \ True False 74.11/18.77 | 3A 4A 3A 6A | | 1A 0A - 4A | 74.11/18.77 | 4A 5A 4A 7A | | 2A - 0A - | 74.11/18.77 \ - - - 0A / \ - - - 0A / 74.11/18.77 property Termination 74.11/18.77 has value True 74.11/18.77 for SRS ( [0] ->= [], [0, 0] ->= [1, 0, 1, 0], [1, 1, 1, 1] ->= [0]) 74.11/18.77 reason 74.11/18.77 EDG has 0 SCCs 74.11/18.77 74.11/18.77 ************************************************** 74.11/18.77 summary 74.11/18.77 ************************************************** 74.11/18.77 SRS with 3 rules on 2 letters Remap { tracing = False} 74.11/18.77 SRS with 3 rules on 2 letters reverse each lhs and rhs 74.11/18.77 SRS with 3 rules on 2 letters DP transform 74.11/18.77 SRS with 7 rules on 4 letters Remap { tracing = False} 74.11/18.77 SRS with 7 rules on 4 letters EDG 74.11/18.77 SRS with 7 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 74.11/18.77 SRS with 6 rules on 4 letters weights 74.11/18.77 SRS with 4 rules on 3 letters EDG 74.11/18.77 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 74.11/18.77 SRS with 3 rules on 2 letters EDG 74.11/18.77 74.11/18.77 ************************************************** 74.11/18.77 (3, 2)\Deepee(7, 4)\Matrix{\Arctic}{4}(6, 4)\Weight(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 74.11/18.77 ************************************************** 74.27/18.83 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]} 74.27/18.83 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 74.81/19.04 EOF