12.66/3.25 YES 12.66/3.25 property Termination 12.66/3.25 has value True 12.66/3.26 for SRS ( [b, b, b, a] -> [a, b, a, a], [a, a, a, a] -> [b, a, a, b], [a, a, a, b] -> [b, b, b, b]) 12.66/3.26 reason 12.66/3.26 remap for 3 rules 12.66/3.26 property Termination 12.66/3.26 has value True 12.66/3.26 for SRS ( [0, 0, 0, 1] -> [1, 0, 1, 1], [1, 1, 1, 1] -> [0, 1, 1, 0], [1, 1, 1, 0] -> [0, 0, 0, 0]) 12.66/3.26 reason 12.66/3.26 DP transform 12.66/3.26 property Termination 12.66/3.26 has value True 12.90/3.29 for SRS ( [0, 0, 0, 1] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 0, 0], [0#, 0, 0, 1] |-> [1#, 0, 1, 1], [0#, 0, 0, 1] |-> [0#, 1, 1], [0#, 0, 0, 1] |-> [1#, 1], [1#, 1, 1, 1] |-> [0#, 1, 1, 0], [1#, 1, 1, 1] |-> [1#, 1, 0], [1#, 1, 1, 1] |-> [1#, 0], [1#, 1, 1, 1] |-> [0#], [1#, 1, 1, 0] |-> [0#, 0, 0, 0], [1#, 1, 1, 0] |-> [0#, 0, 0], [1#, 1, 1, 0] |-> [0#, 0]) 12.90/3.29 reason 12.90/3.29 remap for 13 rules 12.90/3.29 property Termination 12.90/3.29 has value True 12.90/3.32 for SRS ( [0, 0, 0, 1] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 0, 0], [2, 0, 0, 1] |-> [3, 0, 1, 1], [2, 0, 0, 1] |-> [2, 1, 1], [2, 0, 0, 1] |-> [3, 1], [3, 1, 1, 1] |-> [2, 1, 1, 0], [3, 1, 1, 1] |-> [3, 1, 0], [3, 1, 1, 1] |-> [3, 0], [3, 1, 1, 1] |-> [2], [3, 1, 1, 0] |-> [2, 0, 0, 0], [3, 1, 1, 0] |-> [2, 0, 0], [3, 1, 1, 0] |-> [2, 0]) 12.90/3.32 reason 12.90/3.32 weights 12.90/3.32 Map [(0, 1/12), (1, 1/12)] 12.90/3.32 12.90/3.32 property Termination 12.90/3.32 has value True 12.90/3.32 for SRS ( [0, 0, 0, 1] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 0, 0], [2, 0, 0, 1] |-> [3, 0, 1, 1], [3, 1, 1, 1] |-> [2, 1, 1, 0], [3, 1, 1, 0] |-> [2, 0, 0, 0]) 12.90/3.32 reason 12.90/3.32 EDG has 1 SCCs 12.90/3.32 property Termination 12.90/3.32 has value True 12.90/3.33 for SRS ( [2, 0, 0, 1] |-> [3, 0, 1, 1], [3, 1, 1, 0] |-> [2, 0, 0, 0], [3, 1, 1, 1] |-> [2, 1, 1, 0], [0, 0, 0, 1] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 0, 0]) 12.90/3.33 reason 12.90/3.33 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 12.90/3.33 interpretation 12.90/3.33 0 / 0A 3A 3A \ 12.90/3.33 | 0A 0A 3A | 12.90/3.33 \ 0A 0A 0A / 12.90/3.33 1 / 0A 0A 3A \ 12.90/3.33 | 0A 0A 3A | 12.90/3.33 \ 0A 0A 3A / 12.90/3.33 2 / 28A 28A 28A \ 12.90/3.33 | 28A 28A 28A | 12.90/3.33 \ 28A 28A 28A / 12.90/3.33 3 / 27A 27A 30A \ 12.90/3.33 | 27A 27A 30A | 12.90/3.33 \ 27A 27A 30A / 12.90/3.33 [2, 0, 0, 1] |-> [3, 0, 1, 1] 12.90/3.33 lhs rhs ge gt 12.90/3.33 / 34A 34A 37A \ / 33A 33A 36A \ True True 12.90/3.33 | 34A 34A 37A | | 33A 33A 36A | 12.90/3.33 \ 34A 34A 37A / \ 33A 33A 36A / 12.90/3.33 [3, 1, 1, 0] |-> [2, 0, 0, 0] 12.90/3.33 lhs rhs ge gt 12.90/3.33 / 36A 36A 36A \ / 34A 34A 34A \ True True 12.90/3.33 | 36A 36A 36A | | 34A 34A 34A | 12.90/3.33 \ 36A 36A 36A / \ 34A 34A 34A / 12.90/3.34 [3, 1, 1, 1] |-> [2, 1, 1, 0] 12.90/3.34 lhs rhs ge gt 12.90/3.34 / 36A 36A 39A \ / 34A 34A 34A \ True True 12.90/3.34 | 36A 36A 39A | | 34A 34A 34A | 12.90/3.34 \ 36A 36A 39A / \ 34A 34A 34A / 12.90/3.34 [0, 0, 0, 1] ->= [1, 0, 1, 1] 12.90/3.34 lhs rhs ge gt 12.90/3.34 / 6A 6A 9A \ / 6A 6A 9A \ True False 12.90/3.34 | 6A 6A 9A | | 6A 6A 9A | 12.90/3.34 \ 6A 6A 9A / \ 6A 6A 9A / 12.90/3.34 [1, 1, 1, 1] ->= [0, 1, 1, 0] 12.90/3.34 lhs rhs ge gt 12.90/3.34 / 9A 9A 12A \ / 9A 9A 9A \ True False 12.90/3.34 | 9A 9A 12A | | 9A 9A 9A | 12.90/3.34 \ 9A 9A 12A / \ 6A 6A 6A / 12.90/3.34 [1, 1, 1, 0] ->= [0, 0, 0, 0] 12.90/3.34 lhs rhs ge gt 12.90/3.34 / 9A 9A 9A \ / 6A 9A 9A \ True False 12.90/3.34 | 9A 9A 9A | | 6A 6A 9A | 12.90/3.34 \ 9A 9A 9A / \ 6A 6A 6A / 12.90/3.34 property Termination 12.90/3.34 has value True 12.90/3.35 for SRS ( [0, 0, 0, 1] ->= [1, 0, 1, 1], [1, 1, 1, 1] ->= [0, 1, 1, 0], [1, 1, 1, 0] ->= [0, 0, 0, 0]) 12.90/3.35 reason 12.90/3.35 EDG has 0 SCCs 12.90/3.35 12.90/3.35 ************************************************** 12.90/3.35 summary 12.90/3.35 ************************************************** 12.90/3.35 SRS with 3 rules on 2 letters Remap { tracing = False} 12.90/3.35 SRS with 3 rules on 2 letters DP transform 12.90/3.35 SRS with 13 rules on 4 letters Remap { tracing = False} 12.90/3.35 SRS with 13 rules on 4 letters weights 12.90/3.35 SRS with 6 rules on 4 letters EDG 12.90/3.35 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 12.90/3.35 SRS with 3 rules on 2 letters EDG 12.90/3.35 12.90/3.35 ************************************************** 12.90/3.35 (3, 2)\Deepee(13, 4)\Weight(6, 4)\Matrix{\Arctic}{3}(3, 2)\EDG[] 12.90/3.35 ************************************************** 13.49/3.45 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]} 13.49/3.46 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 13.77/3.54 EOF