7.92/2.09 YES 7.92/2.09 property Termination 7.92/2.09 has value True 7.92/2.09 for SRS ( [a, a] -> [b, c], [a, b] -> [c, a], [c, c] -> [a, b]) 7.92/2.09 reason 7.92/2.09 remap for 3 rules 7.92/2.09 property Termination 7.92/2.09 has value True 7.92/2.10 for SRS ( [0, 0] -> [1, 2], [0, 1] -> [2, 0], [2, 2] -> [0, 1]) 7.92/2.10 reason 7.92/2.10 reverse each lhs and rhs 7.92/2.10 property Termination 7.92/2.10 has value True 7.92/2.10 for SRS ( [0, 0] -> [2, 1], [1, 0] -> [0, 2], [2, 2] -> [1, 0]) 7.92/2.10 reason 7.92/2.10 DP transform 7.92/2.10 property Termination 7.92/2.10 has value True 7.92/2.10 for SRS ( [0, 0] ->= [2, 1], [1, 0] ->= [0, 2], [2, 2] ->= [1, 0], [0#, 0] |-> [2#, 1], [0#, 0] |-> [1#], [1#, 0] |-> [0#, 2], [1#, 0] |-> [2#], [2#, 2] |-> [1#, 0], [2#, 2] |-> [0#]) 7.92/2.10 reason 7.92/2.10 remap for 9 rules 7.92/2.10 property Termination 7.92/2.10 has value True 8.30/2.10 for SRS ( [0, 0] ->= [1, 2], [2, 0] ->= [0, 1], [1, 1] ->= [2, 0], [3, 0] |-> [4, 2], [3, 0] |-> [5], [5, 0] |-> [3, 1], [5, 0] |-> [4], [4, 1] |-> [5, 0], [4, 1] |-> [3]) 8.30/2.10 reason 8.30/2.10 weights 8.30/2.10 Map [(0, 1/3), (1, 1/3), (2, 1/3)] 8.30/2.10 8.30/2.10 property Termination 8.30/2.10 has value True 8.65/2.21 for SRS ( [0, 0] ->= [1, 2], [2, 0] ->= [0, 1], [1, 1] ->= [2, 0], [3, 0] |-> [4, 2], [5, 0] |-> [3, 1], [4, 1] |-> [5, 0]) 8.65/2.22 reason 8.65/2.22 EDG has 1 SCCs 8.65/2.22 property Termination 8.65/2.22 has value True 8.65/2.23 for SRS ( [3, 0] |-> [4, 2], [4, 1] |-> [5, 0], [5, 0] |-> [3, 1], [0, 0] ->= [1, 2], [2, 0] ->= [0, 1], [1, 1] ->= [2, 0]) 8.65/2.23 reason 8.65/2.23 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 8.65/2.23 interpretation 8.65/2.23 0 / 3A 3A 3A \ 8.65/2.23 | 0A 0A 3A | 8.65/2.23 \ 0A 0A 0A / 8.65/2.23 1 / 0A 0A 3A \ 8.65/2.23 | 0A 0A 3A | 8.65/2.23 \ 0A 0A 3A / 8.65/2.23 2 / 0A 3A 3A \ 8.65/2.23 | 0A 3A 3A | 8.65/2.23 \ 0A 0A 0A / 8.65/2.23 3 / 4A 4A 4A \ 8.65/2.23 | 4A 4A 4A | 8.65/2.23 \ 4A 4A 4A / 8.65/2.23 4 / 4A 4A 7A \ 8.65/2.23 | 4A 4A 7A | 8.65/2.23 \ 4A 4A 7A / 8.65/2.23 5 / 4A 7A 7A \ 8.65/2.23 | 4A 7A 7A | 8.65/2.23 \ 4A 7A 7A / 8.65/2.23 [3, 0] |-> [4, 2] 8.65/2.23 lhs rhs ge gt 8.65/2.23 / 7A 7A 7A \ / 7A 7A 7A \ True False 8.65/2.23 | 7A 7A 7A | | 7A 7A 7A | 8.65/2.23 \ 7A 7A 7A / \ 7A 7A 7A / 8.65/2.23 [4, 1] |-> [5, 0] 8.65/2.23 lhs rhs ge gt 8.65/2.23 / 7A 7A 10A \ / 7A 7A 10A \ True False 8.65/2.23 | 7A 7A 10A | | 7A 7A 10A | 8.65/2.23 \ 7A 7A 10A / \ 7A 7A 10A / 8.65/2.23 [5, 0] |-> [3, 1] 8.65/2.23 lhs rhs ge gt 8.65/2.23 / 7A 7A 10A \ / 4A 4A 7A \ True True 8.65/2.23 | 7A 7A 10A | | 4A 4A 7A | 8.65/2.23 \ 7A 7A 10A / \ 4A 4A 7A / 8.65/2.23 [0, 0] ->= [1, 2] 8.65/2.23 lhs rhs ge gt 8.65/2.23 / 6A 6A 6A \ / 3A 3A 3A \ True False 8.65/2.23 | 3A 3A 3A | | 3A 3A 3A | 8.65/2.23 \ 3A 3A 3A / \ 3A 3A 3A / 8.65/2.24 [2, 0] ->= [0, 1] 8.65/2.24 lhs rhs ge gt 8.65/2.24 / 3A 3A 6A \ / 3A 3A 6A \ True False 8.65/2.24 | 3A 3A 6A | | 3A 3A 6A | 8.65/2.24 \ 3A 3A 3A / \ 0A 0A 3A / 8.65/2.24 [1, 1] ->= [2, 0] 8.65/2.24 lhs rhs ge gt 8.65/2.24 / 3A 3A 6A \ / 3A 3A 6A \ True False 8.65/2.24 | 3A 3A 6A | | 3A 3A 6A | 8.65/2.24 \ 3A 3A 6A / \ 3A 3A 3A / 8.65/2.24 property Termination 8.65/2.24 has value True 8.65/2.24 for SRS ( [3, 0] |-> [4, 2], [4, 1] |-> [5, 0], [0, 0] ->= [1, 2], [2, 0] ->= [0, 1], [1, 1] ->= [2, 0]) 8.65/2.24 reason 8.65/2.24 weights 8.65/2.24 Map [(3, 2/1), (4, 1/1)] 8.65/2.24 8.65/2.24 property Termination 8.65/2.24 has value True 8.65/2.24 for SRS ( [0, 0] ->= [1, 2], [2, 0] ->= [0, 1], [1, 1] ->= [2, 0]) 8.65/2.24 reason 8.65/2.24 EDG has 0 SCCs 8.65/2.24 8.65/2.24 ************************************************** 8.65/2.24 summary 8.65/2.24 ************************************************** 8.65/2.24 SRS with 3 rules on 3 letters Remap { tracing = False} 8.65/2.24 SRS with 3 rules on 3 letters reverse each lhs and rhs 8.65/2.24 SRS with 3 rules on 3 letters DP transform 8.65/2.24 SRS with 9 rules on 6 letters Remap { tracing = False} 8.65/2.24 SRS with 9 rules on 6 letters weights 8.65/2.24 SRS with 6 rules on 6 letters EDG 8.65/2.25 SRS with 6 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 8.65/2.25 SRS with 5 rules on 6 letters weights 8.65/2.25 SRS with 3 rules on 3 letters EDG 8.65/2.25 8.65/2.25 ************************************************** 8.65/2.25 (3, 3)\Deepee(9, 6)\Weight(6, 6)\Matrix{\Arctic}{3}(5, 6)\Weight(3, 3)\EDG[] 8.65/2.25 ************************************************** 8.65/2.27 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]} 8.65/2.27 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 9.05/2.32 EOF