159.86/40.33 YES 159.86/40.33 property Termination 159.86/40.33 has value True 159.86/40.33 for SRS ( [a] -> [], [a, b, b, a] -> [a, a, b, a, b, b]) 159.86/40.33 reason 159.86/40.33 remap for 2 rules 159.86/40.33 property Termination 159.86/40.34 has value True 159.86/40.34 for SRS ( [0] -> [], [0, 1, 1, 0] -> [0, 0, 1, 0, 1, 1]) 159.86/40.34 reason 159.86/40.34 DP transform 159.86/40.34 property Termination 159.86/40.34 has value True 159.86/40.34 for SRS ( [0] ->= [], [0, 1, 1, 0] ->= [0, 0, 1, 0, 1, 1], [0#, 1, 1, 0] |-> [0#, 0, 1, 0, 1, 1], [0#, 1, 1, 0] |-> [0#, 1, 0, 1, 1], [0#, 1, 1, 0] |-> [0#, 1, 1]) 159.86/40.34 reason 159.86/40.34 remap for 5 rules 159.86/40.34 property Termination 159.86/40.34 has value True 159.86/40.34 for SRS ( [0] ->= [], [0, 1, 1, 0] ->= [0, 0, 1, 0, 1, 1], [2, 1, 1, 0] |-> [2, 0, 1, 0, 1, 1], [2, 1, 1, 0] |-> [2, 1, 0, 1, 1], [2, 1, 1, 0] |-> [2, 1, 1]) 159.86/40.34 reason 159.86/40.34 EDG has 1 SCCs 159.86/40.34 property Termination 159.86/40.34 has value True 159.86/40.34 for SRS ( [2, 1, 1, 0] |-> [2, 0, 1, 0, 1, 1], [2, 1, 1, 0] |-> [2, 1, 1], [2, 1, 1, 0] |-> [2, 1, 0, 1, 1], [0] ->= [], [0, 1, 1, 0] ->= [0, 0, 1, 0, 1, 1]) 159.86/40.34 reason 159.86/40.34 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 159.86/40.34 interpretation 159.86/40.34 0 Wk / 3A 4A - 4A \ 159.86/40.34 | 2A 3A - 3A | 159.86/40.34 | 0A 0A 0A - | 159.86/40.34 \ - - - 0A / 159.86/40.34 1 Wk / - - 0A 0A \ 159.86/40.34 | - - - - | 159.86/40.34 | - 1A - - | 159.86/40.34 \ - - - 0A / 159.86/40.35 2 Wk / 0A 0A - - \ 159.86/40.35 | - - - - | 159.86/40.35 | 1A - 1A 4A | 159.86/40.35 \ - - - 0A / 159.86/40.35 [2, 1, 1, 0] |-> [2, 0, 1, 0, 1, 1] 159.86/40.35 lhs rhs ge gt 159.86/40.35 Wk / 3A 4A - 4A \ Wk / - 4A - 4A \ True False 159.86/40.35 | - - - - | | - - - - | 159.86/40.35 | 4A 5A - 5A | | - 5A - 5A | 159.86/40.35 \ - - - 0A / \ - - - 0A / 159.86/40.35 [2, 1, 1, 0] |-> [2, 1, 1] 159.86/40.35 lhs rhs ge gt 159.86/40.35 Wk / 3A 4A - 4A \ Wk / - 1A - 0A \ True True 159.86/40.35 | - - - - | | - - - - | 159.86/40.35 | 4A 5A - 5A | | - 2A - 4A | 159.86/40.35 \ - - - 0A / \ - - - 0A / 159.86/40.35 [2, 1, 1, 0] |-> [2, 1, 0, 1, 1] 159.99/40.36 lhs rhs ge gt 159.99/40.36 Wk / 3A 4A - 4A \ Wk / - 1A - 0A \ True False 159.99/40.36 | - - - - | | - - - - | 159.99/40.36 | 4A 5A - 5A | | - 5A - 5A | 159.99/40.36 \ - - - 0A / \ - - - 0A / 159.99/40.36 [0] ->= [] 159.99/40.36 lhs rhs ge gt 159.99/40.36 Wk / 3A 4A - 4A \ Wk / 0A - - - \ True False 159.99/40.36 | 2A 3A - 3A | | - 0A - - | 159.99/40.36 | 0A 0A 0A - | | - - 0A - | 159.99/40.36 \ - - - 0A / \ - - - 0A / 159.99/40.36 [0, 1, 1, 0] ->= [0, 0, 1, 0, 1, 1] 159.99/40.36 lhs rhs ge gt 159.99/40.36 Wk / 6A 7A - 7A \ Wk / - 7A - 7A \ True False 159.99/40.36 | 5A 6A - 6A | | - 6A - 6A | 159.99/40.36 | 3A 4A - 4A | | - 4A - 4A | 159.99/40.36 \ - - - 0A / \ - - - 0A / 159.99/40.36 property Termination 159.99/40.36 has value True 159.99/40.37 for SRS ( [2, 1, 1, 0] |-> [2, 0, 1, 0, 1, 1], [2, 1, 1, 0] |-> [2, 1, 0, 1, 1], [0] ->= [], [0, 1, 1, 0] ->= [0, 0, 1, 0, 1, 1]) 159.99/40.37 reason 159.99/40.37 EDG has 1 SCCs 159.99/40.37 property Termination 159.99/40.37 has value True 159.99/40.37 for SRS ( [2, 1, 1, 0] |-> [2, 0, 1, 0, 1, 1], [2, 1, 1, 0] |-> [2, 1, 0, 1, 1], [0] ->= [], [0, 1, 1, 0] ->= [0, 0, 1, 0, 1, 1]) 159.99/40.37 reason 159.99/40.37 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 159.99/40.37 interpretation 159.99/40.37 0 Wk / 0A 0A 0A - \ 159.99/40.37 | 2A 2A 0A 4A | 159.99/40.37 | 0A 0A 0A - | 159.99/40.37 \ - - - 0A / 159.99/40.37 1 Wk / - - 0A 2A \ 159.99/40.37 | - - - 0A | 159.99/40.37 | - 0A - - | 159.99/40.37 \ - - - 0A / 159.99/40.37 2 Wk / 2A - - - \ 159.99/40.37 | - - - - | 159.99/40.37 | 2A - - 0A | 159.99/40.37 \ - - - 0A / 159.99/40.37 [2, 1, 1, 0] |-> [2, 0, 1, 0, 1, 1] 159.99/40.37 lhs rhs ge gt 159.99/40.37 Wk / 4A 4A 2A 6A \ Wk / - 4A - 6A \ True False 159.99/40.37 | - - - - | | - - - - | 159.99/40.37 | 4A 4A 2A 6A | | - 4A - 6A | 159.99/40.37 \ - - - 0A / \ - - - 0A / 159.99/40.37 [2, 1, 1, 0] |-> [2, 1, 0, 1, 1] 159.99/40.39 lhs rhs ge gt 159.99/40.39 Wk / 4A 4A 2A 6A \ Wk / - 2A - 4A \ True True 159.99/40.39 | - - - - | | - - - - | 159.99/40.39 | 4A 4A 2A 6A | | - 2A - 4A | 159.99/40.39 \ - - - 0A / \ - - - 0A / 159.99/40.39 [0] ->= [] 159.99/40.39 lhs rhs ge gt 159.99/40.39 Wk / 0A 0A 0A - \ Wk / 0A - - - \ True False 159.99/40.39 | 2A 2A 0A 4A | | - 0A - - | 159.99/40.39 | 0A 0A 0A - | | - - 0A - | 159.99/40.39 \ - - - 0A / \ - - - 0A / 159.99/40.39 [0, 1, 1, 0] ->= [0, 0, 1, 0, 1, 1] 159.99/40.40 lhs rhs ge gt 159.99/40.40 Wk / 2A 2A 0A 4A \ Wk / - 2A - 4A \ True False 159.99/40.40 | 4A 4A 2A 6A | | - 4A - 6A | 159.99/40.40 | 2A 2A 0A 4A | | - 2A - 4A | 159.99/40.40 \ - - - 0A / \ - - - 0A / 159.99/40.40 property Termination 159.99/40.40 has value True 159.99/40.40 for SRS ( [2, 1, 1, 0] |-> [2, 0, 1, 0, 1, 1], [0] ->= [], [0, 1, 1, 0] ->= [0, 0, 1, 0, 1, 1]) 159.99/40.40 reason 159.99/40.40 EDG has 1 SCCs 159.99/40.40 property Termination 159.99/40.40 has value True 159.99/40.40 for SRS ( [2, 1, 1, 0] |-> [2, 0, 1, 0, 1, 1], [0] ->= [], [0, 1, 1, 0] ->= [0, 0, 1, 0, 1, 1]) 159.99/40.40 reason 159.99/40.40 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 159.99/40.40 interpretation 159.99/40.40 0 Wk / 3A - 0A 3A \ 159.99/40.40 | 2A 0A 0A - | 159.99/40.40 | - - 1A 4A | 159.99/40.40 \ - - - 0A / 159.99/40.40 1 Wk / - - - 0A \ 159.99/40.40 | 3A - - 2A | 159.99/40.40 | - 0A - - | 159.99/40.40 \ - - - 0A / 159.99/40.40 2 Wk / - - 0A 3A \ 159.99/40.40 | - - - - | 159.99/40.40 | - - - - | 159.99/40.40 \ - - - 0A / 159.99/40.40 [2, 1, 1, 0] |-> [2, 0, 1, 0, 1, 1] 159.99/40.41 lhs rhs ge gt 159.99/40.41 Wk / 6A - 3A 6A \ Wk / 4A - - 4A \ True True 159.99/40.41 | - - - - | | - - - - | 159.99/40.41 | - - - - | | - - - - | 159.99/40.41 \ - - - 0A / \ - - - 0A / 159.99/40.41 [0] ->= [] 159.99/40.41 lhs rhs ge gt 159.99/40.41 Wk / 3A - 0A 3A \ Wk / 0A - - - \ True False 159.99/40.41 | 2A 0A 0A - | | - 0A - - | 159.99/40.41 | - - 1A 4A | | - - 0A - | 159.99/40.41 \ - - - 0A / \ - - - 0A / 159.99/40.41 [0, 1, 1, 0] ->= [0, 0, 1, 0, 1, 1] 159.99/40.41 lhs rhs ge gt 159.99/40.41 Wk / 6A - 3A 6A \ Wk / 6A - - 6A \ True False 159.99/40.41 | 6A - 3A 6A | | 6A - - 6A | 159.99/40.41 | 7A - 4A 7A | | 5A - - 5A | 159.99/40.41 \ - - - 0A / \ - - - 0A / 159.99/40.41 property Termination 159.99/40.41 has value True 159.99/40.41 for SRS ( [0] ->= [], [0, 1, 1, 0] ->= [0, 0, 1, 0, 1, 1]) 159.99/40.41 reason 159.99/40.41 EDG has 0 SCCs 159.99/40.41 159.99/40.41 ************************************************** 159.99/40.41 summary 159.99/40.41 ************************************************** 159.99/40.41 SRS with 2 rules on 2 letters Remap { tracing = False} 159.99/40.41 SRS with 2 rules on 2 letters DP transform 159.99/40.41 SRS with 5 rules on 3 letters Remap { tracing = False} 159.99/40.41 SRS with 5 rules on 3 letters EDG 159.99/40.42 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 159.99/40.42 SRS with 4 rules on 3 letters EDG 159.99/40.42 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 159.99/40.42 SRS with 3 rules on 3 letters EDG 159.99/40.42 SRS with 3 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 159.99/40.42 SRS with 2 rules on 2 letters EDG 159.99/40.42 159.99/40.42 ************************************************** 159.99/40.42 (2, 2)\Deepee(5, 3)\Matrix{\Arctic}{4}(4, 3)\Matrix{\Arctic}{4}(3, 3)\Matrix{\Arctic}{4}(2, 2)\EDG[] 159.99/40.42 ************************************************** 160.54/40.54 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]} 160.54/40.54 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 160.92/40.64 EOF