7.56/1.95 YES 7.56/1.95 property Termination 7.56/1.95 has value True 7.56/1.95 for SRS ( [b, b, b] -> [a, a, a], [a, a, a] -> [b, a, b]) 7.56/1.95 reason 7.56/1.95 remap for 2 rules 7.56/1.95 property Termination 7.56/1.95 has value True 7.56/1.95 for SRS ( [0, 0, 0] -> [1, 1, 1], [1, 1, 1] -> [0, 1, 0]) 7.56/1.95 reason 7.56/1.95 reverse each lhs and rhs 7.56/1.95 property Termination 7.56/1.95 has value True 7.56/1.95 for SRS ( [0, 0, 0] -> [1, 1, 1], [1, 1, 1] -> [0, 1, 0]) 7.56/1.95 reason 7.56/1.95 DP transform 7.56/1.95 property Termination 7.56/1.95 has value True 7.56/1.95 for SRS ( [0, 0, 0] ->= [1, 1, 1], [1, 1, 1] ->= [0, 1, 0], [0#, 0, 0] |-> [1#, 1, 1], [0#, 0, 0] |-> [1#, 1], [0#, 0, 0] |-> [1#], [1#, 1, 1] |-> [0#, 1, 0], [1#, 1, 1] |-> [1#, 0], [1#, 1, 1] |-> [0#]) 7.56/1.95 reason 7.56/1.95 remap for 8 rules 7.56/1.95 property Termination 7.56/1.95 has value True 7.56/1.95 for SRS ( [0, 0, 0] ->= [1, 1, 1], [1, 1, 1] ->= [0, 1, 0], [2, 0, 0] |-> [3, 1, 1], [2, 0, 0] |-> [3, 1], [2, 0, 0] |-> [3], [3, 1, 1] |-> [2, 1, 0], [3, 1, 1] |-> [3, 0], [3, 1, 1] |-> [2]) 7.56/1.95 reason 7.56/1.95 weights 7.56/1.95 Map [(0, 1/6), (1, 1/6)] 7.56/1.95 7.56/1.95 property Termination 7.56/1.95 has value True 7.56/1.95 for SRS ( [0, 0, 0] ->= [1, 1, 1], [1, 1, 1] ->= [0, 1, 0], [2, 0, 0] |-> [3, 1, 1], [3, 1, 1] |-> [2, 1, 0]) 7.56/1.95 reason 7.56/1.95 EDG has 1 SCCs 7.56/1.95 property Termination 7.56/1.95 has value True 7.56/1.95 for SRS ( [2, 0, 0] |-> [3, 1, 1], [3, 1, 1] |-> [2, 1, 0], [0, 0, 0] ->= [1, 1, 1], [1, 1, 1] ->= [0, 1, 0]) 7.56/1.95 reason 7.56/1.95 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 7.56/1.95 interpretation 7.56/1.95 0 / 0A 0A 3A \ 7.56/1.95 | 0A 0A 3A | 7.56/1.95 \ 0A 0A 3A / 7.56/1.95 1 / 0A 3A 3A \ 7.56/1.95 | 0A 0A 3A | 7.56/1.95 \ 0A 0A 0A / 7.56/1.95 2 / 40A 40A 41A \ 7.56/1.95 | 40A 40A 41A | 7.56/1.95 \ 40A 40A 41A / 7.56/1.95 3 / 40A 40A 40A \ 7.56/1.95 | 40A 40A 40A | 7.56/1.95 \ 40A 40A 40A / 7.56/1.95 [2, 0, 0] |-> [3, 1, 1] 7.56/1.95 lhs rhs ge gt 7.56/1.95 / 44A 44A 47A \ / 43A 43A 46A \ True True 7.56/1.95 | 44A 44A 47A | | 43A 43A 46A | 7.56/1.95 \ 44A 44A 47A / \ 43A 43A 46A / 7.56/1.95 [3, 1, 1] |-> [2, 1, 0] 7.56/1.95 lhs rhs ge gt 7.56/1.95 / 43A 43A 46A \ / 43A 43A 46A \ True False 7.56/1.95 | 43A 43A 46A | | 43A 43A 46A | 7.56/1.95 \ 43A 43A 46A / \ 43A 43A 46A / 7.56/1.95 [0, 0, 0] ->= [1, 1, 1] 7.56/1.95 lhs rhs ge gt 7.56/1.95 / 6A 6A 9A \ / 6A 6A 6A \ True False 7.56/1.95 | 6A 6A 9A | | 3A 6A 6A | 7.56/1.95 \ 6A 6A 9A / \ 3A 3A 6A / 7.56/1.95 [1, 1, 1] ->= [0, 1, 0] 7.56/1.95 lhs rhs ge gt 7.56/1.95 / 6A 6A 6A \ / 3A 3A 6A \ True False 7.56/1.95 | 3A 6A 6A | | 3A 3A 6A | 7.56/1.95 \ 3A 3A 6A / \ 3A 3A 6A / 7.56/1.95 property Termination 7.56/1.95 has value True 7.56/1.95 for SRS ( [3, 1, 1] |-> [2, 1, 0], [0, 0, 0] ->= [1, 1, 1], [1, 1, 1] ->= [0, 1, 0]) 7.56/1.95 reason 7.56/1.95 weights 7.56/1.95 Map [(3, 1/1)] 7.56/1.95 7.56/1.95 property Termination 7.56/1.95 has value True 7.56/1.95 for SRS ( [0, 0, 0] ->= [1, 1, 1], [1, 1, 1] ->= [0, 1, 0]) 7.56/1.95 reason 7.56/1.95 EDG has 0 SCCs 7.56/1.95 7.56/1.95 ************************************************** 7.56/1.95 summary 7.56/1.95 ************************************************** 7.56/1.95 SRS with 2 rules on 2 letters Remap { tracing = False} 7.56/1.95 SRS with 2 rules on 2 letters reverse each lhs and rhs 7.56/1.95 SRS with 2 rules on 2 letters DP transform 7.56/1.95 SRS with 8 rules on 4 letters Remap { tracing = False} 7.56/1.95 SRS with 8 rules on 4 letters weights 7.56/1.95 SRS with 4 rules on 4 letters EDG 7.56/1.95 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 7.56/1.95 SRS with 3 rules on 4 letters weights 7.56/1.95 SRS with 2 rules on 2 letters EDG 7.56/1.95 7.56/1.95 ************************************************** 7.56/1.95 (2, 2)\Deepee(8, 4)\Weight(4, 4)\Matrix{\Arctic}{3}(3, 4)\Weight(2, 2)\EDG[] 7.56/1.95 ************************************************** 7.56/1.96 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]} 7.56/1.96 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 7.74/2.01 EOF