65.34/16.56 YES 65.34/16.56 property Termination 65.34/16.56 has value True 65.34/16.56 for SRS ( [a, a, a] -> [b, b, b], [b, a, a, b] -> [], [b, a, a, b] -> [b, a, a, a, b]) 65.34/16.56 reason 65.34/16.56 remap for 3 rules 65.34/16.56 property Termination 65.34/16.56 has value True 65.34/16.56 for SRS ( [0, 0, 0] -> [1, 1, 1], [1, 0, 0, 1] -> [], [1, 0, 0, 1] -> [1, 0, 0, 0, 1]) 65.34/16.56 reason 65.34/16.56 DP transform 65.34/16.56 property Termination 65.34/16.56 has value True 65.34/16.56 for SRS ( [0, 0, 0] ->= [1, 1, 1], [1, 0, 0, 1] ->= [], [1, 0, 0, 1] ->= [1, 0, 0, 0, 1], [0#, 0, 0] |-> [1#, 1, 1], [0#, 0, 0] |-> [1#, 1], [0#, 0, 0] |-> [1#], [1#, 0, 0, 1] |-> [1#, 0, 0, 0, 1], [1#, 0, 0, 1] |-> [0#, 0, 0, 1]) 65.34/16.56 reason 65.34/16.56 remap for 8 rules 65.34/16.56 property Termination 65.34/16.56 has value True 65.34/16.56 for SRS ( [0, 0, 0] ->= [1, 1, 1], [1, 0, 0, 1] ->= [], [1, 0, 0, 1] ->= [1, 0, 0, 0, 1], [2, 0, 0] |-> [3, 1, 1], [2, 0, 0] |-> [3, 1], [2, 0, 0] |-> [3], [3, 0, 0, 1] |-> [3, 0, 0, 0, 1], [3, 0, 0, 1] |-> [2, 0, 0, 1]) 65.34/16.56 reason 65.34/16.56 EDG has 1 SCCs 65.34/16.56 property Termination 65.34/16.56 has value True 65.34/16.56 for SRS ( [2, 0, 0] |-> [3, 1, 1], [3, 0, 0, 1] |-> [2, 0, 0, 1], [2, 0, 0] |-> [3], [3, 0, 0, 1] |-> [3, 0, 0, 0, 1], [2, 0, 0] |-> [3, 1], [0, 0, 0] ->= [1, 1, 1], [1, 0, 0, 1] ->= [], [1, 0, 0, 1] ->= [1, 0, 0, 0, 1]) 65.34/16.56 reason 65.34/16.56 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 65.34/16.56 interpretation 65.34/16.56 0 / 0A 2A \ 65.34/16.56 \ 0A 0A / 65.34/16.56 1 / 0A 0A \ 65.34/16.56 \ -2A -2A / 65.34/16.56 2 / 25A 25A \ 65.34/16.56 \ 25A 25A / 65.34/16.56 3 / 25A 25A \ 65.34/16.56 \ 25A 25A / 65.34/16.56 [2, 0, 0] |-> [3, 1, 1] 65.34/16.56 lhs rhs ge gt 65.34/16.56 / 27A 27A \ / 25A 25A \ True True 65.34/16.56 \ 27A 27A / \ 25A 25A / 65.34/16.56 [3, 0, 0, 1] |-> [2, 0, 0, 1] 65.34/16.56 lhs rhs ge gt 65.34/16.56 / 27A 27A \ / 27A 27A \ True False 65.34/16.56 \ 27A 27A / \ 27A 27A / 65.34/16.57 [2, 0, 0] |-> [3] 65.34/16.57 lhs rhs ge gt 65.34/16.57 / 27A 27A \ / 25A 25A \ True True 65.34/16.57 \ 27A 27A / \ 25A 25A / 65.34/16.57 [3, 0, 0, 1] |-> [3, 0, 0, 0, 1] 65.34/16.57 lhs rhs ge gt 65.34/16.57 / 27A 27A \ / 27A 27A \ True False 65.34/16.57 \ 27A 27A / \ 27A 27A / 65.34/16.57 [2, 0, 0] |-> [3, 1] 65.34/16.57 lhs rhs ge gt 65.34/16.57 / 27A 27A \ / 25A 25A \ True True 65.34/16.57 \ 27A 27A / \ 25A 25A / 65.34/16.57 [0, 0, 0] ->= [1, 1, 1] 65.34/16.57 lhs rhs ge gt 65.34/16.57 / 2A 4A \ / 0A 0A \ True True 65.34/16.57 \ 2A 2A / \ -2A -2A / 65.34/16.57 [1, 0, 0, 1] ->= [] 65.34/16.57 lhs rhs ge gt 65.34/16.57 / 2A 2A \ / 0A - \ True False 65.34/16.57 \ 0A 0A / \ - 0A / 65.34/16.57 [1, 0, 0, 1] ->= [1, 0, 0, 0, 1] 65.34/16.57 lhs rhs ge gt 65.34/16.57 / 2A 2A \ / 2A 2A \ True False 65.34/16.57 \ 0A 0A / \ 0A 0A / 65.34/16.57 property Termination 65.34/16.57 has value True 65.34/16.57 for SRS ( [3, 0, 0, 1] |-> [2, 0, 0, 1], [3, 0, 0, 1] |-> [3, 0, 0, 0, 1], [0, 0, 0] ->= [1, 1, 1], [1, 0, 0, 1] ->= [], [1, 0, 0, 1] ->= [1, 0, 0, 0, 1]) 65.34/16.57 reason 65.34/16.57 weights 65.34/16.57 Map [(3, 1/1)] 65.34/16.57 65.34/16.57 property Termination 65.34/16.57 has value True 65.34/16.57 for SRS ( [3, 0, 0, 1] |-> [3, 0, 0, 0, 1], [0, 0, 0] ->= [1, 1, 1], [1, 0, 0, 1] ->= [], [1, 0, 0, 1] ->= [1, 0, 0, 0, 1]) 65.34/16.57 reason 65.34/16.57 EDG has 1 SCCs 65.34/16.57 property Termination 65.34/16.57 has value True 65.34/16.57 for SRS ( [3, 0, 0, 1] |-> [3, 0, 0, 0, 1], [0, 0, 0] ->= [1, 1, 1], [1, 0, 0, 1] ->= [], [1, 0, 0, 1] ->= [1, 0, 0, 0, 1]) 65.34/16.57 reason 65.34/16.57 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 65.34/16.57 interpretation 65.34/16.57 0 Wk / - 1A 0A 0A \ 65.34/16.57 | 1A - 2A - | 65.34/16.57 | - 0A 0A 0A | 65.34/16.57 \ - - - 0A / 65.34/16.57 1 Wk / 0A 0A 2A 2A \ 65.34/16.57 | - - 0A - | 65.34/16.57 | - - 0A 0A | 65.34/16.57 \ - - - 0A / 65.64/16.58 3 Wk / 0A - - 1A \ 65.64/16.58 | 2A 0A 2A 5A | 65.64/16.58 | - - - - | 65.64/16.58 \ - - - 0A / 65.64/16.58 [3, 0, 0, 1] |-> [3, 0, 0, 0, 1] 65.64/16.58 lhs rhs ge gt 65.64/16.58 Wk / 2A 2A 4A 4A \ Wk / 1A 1A 3A 3A \ True True 65.64/16.58 | 4A 4A 6A 6A | | 3A 3A 5A 5A | 65.64/16.58 | - - - - | | - - - - | 65.64/16.58 \ - - - 0A / \ - - - 0A / 65.64/16.58 [0, 0, 0] ->= [1, 1, 1] 65.64/16.58 lhs rhs ge gt 65.64/16.58 Wk / 1A 3A 3A 3A \ Wk / 0A 0A 2A 2A \ True True 65.64/16.58 | 3A 2A 4A 2A | | - - 0A 0A | 65.64/16.58 | 1A 2A 2A 2A | | - - 0A 0A | 65.64/16.58 \ - - - 0A / \ - - - 0A / 65.64/16.58 [1, 0, 0, 1] ->= [] 65.64/16.60 lhs rhs ge gt 65.64/16.60 Wk / 3A 3A 5A 5A \ Wk / 0A - - - \ True True 65.64/16.60 | 1A 1A 3A 3A | | - 0A - - | 65.64/16.60 | 1A 1A 3A 3A | | - - 0A - | 65.64/16.60 \ - - - 0A / \ - - - 0A / 65.64/16.60 [1, 0, 0, 1] ->= [1, 0, 0, 0, 1] 65.64/16.60 lhs rhs ge gt 65.64/16.60 Wk / 3A 3A 5A 5A \ Wk / 3A 3A 5A 5A \ True False 65.64/16.60 | 1A 1A 3A 3A | | 1A 1A 3A 3A | 65.64/16.60 | 1A 1A 3A 3A | | 1A 1A 3A 3A | 65.64/16.60 \ - - - 0A / \ - - - 0A / 65.64/16.60 property Termination 65.64/16.60 has value True 65.64/16.60 for SRS ( [0, 0, 0] ->= [1, 1, 1], [1, 0, 0, 1] ->= [], [1, 0, 0, 1] ->= [1, 0, 0, 0, 1]) 65.64/16.60 reason 65.64/16.60 EDG has 0 SCCs 65.64/16.60 65.64/16.60 ************************************************** 65.64/16.60 summary 65.64/16.60 ************************************************** 65.64/16.60 SRS with 3 rules on 2 letters Remap { tracing = False} 65.64/16.60 SRS with 3 rules on 2 letters DP transform 65.64/16.60 SRS with 8 rules on 4 letters Remap { tracing = False} 65.64/16.60 SRS with 8 rules on 4 letters EDG 65.64/16.60 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 65.64/16.60 SRS with 5 rules on 4 letters weights 65.64/16.60 SRS with 4 rules on 3 letters EDG 65.64/16.60 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 65.64/16.60 SRS with 3 rules on 2 letters EDG 65.64/16.60 65.64/16.60 ************************************************** 65.64/16.61 (3, 2)\Deepee(8, 4)\Matrix{\Arctic}{2}(5, 4)\Weight(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 65.64/16.61 ************************************************** 66.25/16.75 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]} 66.25/16.75 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 66.59/16.84 EOF