61.42/15.53 YES 61.42/15.53 property Termination 61.42/15.53 has value True 61.42/15.53 for SRS ( [b, a, b, b] -> [b, b, b, b], [b, b, a, a] -> [a, a, b, b], [b, a, b, b] -> [b, a, a, a]) 61.42/15.53 reason 61.42/15.53 remap for 3 rules 61.42/15.53 property Termination 61.42/15.53 has value True 61.42/15.53 for SRS ( [0, 1, 0, 0] -> [0, 0, 0, 0], [0, 0, 1, 1] -> [1, 1, 0, 0], [0, 1, 0, 0] -> [0, 1, 1, 1]) 61.42/15.53 reason 61.42/15.53 DP transform 61.42/15.53 property Termination 61.42/15.53 has value True 61.42/15.53 for SRS ( [0, 1, 0, 0] ->= [0, 0, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 0], [0, 1, 0, 0] ->= [0, 1, 1, 1], [0#, 1, 0, 0] |-> [0#, 0, 0, 0], [0#, 1, 0, 0] |-> [0#, 0, 0], [0#, 0, 1, 1] |-> [0#, 0], [0#, 0, 1, 1] |-> [0#], [0#, 1, 0, 0] |-> [0#, 1, 1, 1]) 61.42/15.53 reason 61.42/15.53 remap for 8 rules 61.42/15.53 property Termination 61.42/15.53 has value True 61.42/15.53 for SRS ( [0, 1, 0, 0] ->= [0, 0, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 0], [0, 1, 0, 0] ->= [0, 1, 1, 1], [2, 1, 0, 0] |-> [2, 0, 0, 0], [2, 1, 0, 0] |-> [2, 0, 0], [2, 0, 1, 1] |-> [2, 0], [2, 0, 1, 1] |-> [2], [2, 1, 0, 0] |-> [2, 1, 1, 1]) 61.42/15.53 reason 61.42/15.53 weights 61.42/15.53 Map [(0, 1/6), (1, 1/6)] 61.42/15.53 61.42/15.53 property Termination 61.42/15.53 has value True 61.42/15.53 for SRS ( [0, 1, 0, 0] ->= [0, 0, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 0], [0, 1, 0, 0] ->= [0, 1, 1, 1], [2, 1, 0, 0] |-> [2, 0, 0, 0], [2, 1, 0, 0] |-> [2, 1, 1, 1]) 61.42/15.53 reason 61.42/15.53 EDG has 1 SCCs 61.42/15.53 property Termination 61.42/15.53 has value True 61.42/15.53 for SRS ( [2, 1, 0, 0] |-> [2, 0, 0, 0], [0, 1, 0, 0] ->= [0, 0, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 0], [0, 1, 0, 0] ->= [0, 1, 1, 1]) 61.42/15.53 reason 61.42/15.53 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 61.42/15.53 interpretation 61.42/15.53 0 Wk / - 1A 0A 0A \ 61.42/15.53 | 0A 0A - 2A | 61.42/15.53 | 2A 2A 1A 4A | 61.42/15.53 \ - - - 0A / 61.42/15.53 1 Wk / - - - 5A \ 61.42/15.53 | 0A - 0A - | 61.42/15.53 | - - - - | 61.42/15.53 \ - - - 0A / 61.42/15.53 2 Wk / - 0A - 4A \ 61.42/15.53 | - - - - | 61.42/15.53 | - - - - | 61.42/15.53 \ - - - 0A / 61.42/15.53 [2, 1, 0, 0] |-> [2, 0, 0, 0] 61.42/15.54 lhs rhs ge gt 61.42/15.54 Wk / 3A 3A 2A 5A \ Wk / 2A 2A 1A 4A \ True True 61.42/15.54 | - - - - | | - - - - | 61.42/15.54 | - - - - | | - - - - | 61.42/15.54 \ - - - 0A / \ - - - 0A / 61.42/15.54 [0, 1, 0, 0] ->= [0, 0, 0, 0] 61.42/15.54 lhs rhs ge gt 61.42/15.54 Wk / 4A 4A 3A 6A \ Wk / 4A 4A 3A 6A \ True False 61.42/15.54 | 3A 3A 2A 5A | | 3A 3A 2A 5A | 61.42/15.54 | 5A 5A 4A 7A | | 5A 5A 4A 7A | 61.42/15.54 \ - - - 0A / \ - - - 0A / 61.42/15.54 [0, 0, 1, 1] ->= [1, 1, 0, 0] 61.42/15.54 lhs rhs ge gt 61.42/15.54 Wk / - - - 7A \ Wk / - - - 5A \ True True 61.42/15.54 | - - - 6A | | - - - 5A | 61.42/15.54 | - - - 8A | | - - - - | 61.42/15.54 \ - - - 0A / \ - - - 0A / 61.42/15.54 [0, 1, 0, 0] ->= [0, 1, 1, 1] 61.42/15.54 lhs rhs ge gt 61.42/15.54 Wk / 4A 4A 3A 6A \ Wk / - - - 6A \ True False 61.42/15.54 | 3A 3A 2A 5A | | - - - 5A | 61.42/15.54 | 5A 5A 4A 7A | | - - - 7A | 61.42/15.54 \ - - - 0A / \ - - - 0A / 61.42/15.54 property Termination 61.42/15.54 has value True 61.42/15.54 for SRS ( [0, 1, 0, 0] ->= [0, 0, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 0], [0, 1, 0, 0] ->= [0, 1, 1, 1]) 61.42/15.54 reason 61.42/15.54 EDG has 0 SCCs 61.42/15.54 61.42/15.54 ************************************************** 61.42/15.54 summary 61.42/15.54 ************************************************** 61.42/15.54 SRS with 3 rules on 2 letters Remap { tracing = False} 61.42/15.54 SRS with 3 rules on 2 letters DP transform 61.42/15.54 SRS with 8 rules on 3 letters Remap { tracing = False} 61.42/15.54 SRS with 8 rules on 3 letters weights 61.42/15.54 SRS with 5 rules on 3 letters EDG 61.42/15.54 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 61.42/15.54 SRS with 3 rules on 2 letters EDG 61.42/15.54 61.42/15.54 ************************************************** 61.42/15.54 (3, 2)\Deepee(8, 3)\Weight(5, 3)\EDG(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 61.42/15.54 ************************************************** 61.55/15.57 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]} 61.55/15.57 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 61.73/15.72 EOF