8.02/2.08 YES 8.02/2.08 property Termination 8.02/2.08 has value True 8.02/2.08 for SRS ( [a] -> [b, c], [a, b] -> [b, a], [d, c] -> [d, a], [a, c] -> [c, a]) 8.02/2.08 reason 8.02/2.08 remap for 4 rules 8.02/2.08 property Termination 8.02/2.08 has value True 8.02/2.09 for SRS ( [0] -> [1, 2], [0, 1] -> [1, 0], [3, 2] -> [3, 0], [0, 2] -> [2, 0]) 8.02/2.09 reason 8.02/2.09 reverse each lhs and rhs 8.02/2.09 property Termination 8.02/2.09 has value True 8.30/2.12 for SRS ( [0] -> [2, 1], [1, 0] -> [0, 1], [2, 3] -> [0, 3], [2, 0] -> [0, 2]) 8.30/2.12 reason 8.30/2.12 DP transform 8.30/2.13 property Termination 8.30/2.13 has value True 9.16/2.35 for SRS ( [0] ->= [2, 1], [1, 0] ->= [0, 1], [2, 3] ->= [0, 3], [2, 0] ->= [0, 2], [0#] |-> [2#, 1], [0#] |-> [1#], [1#, 0] |-> [0#, 1], [1#, 0] |-> [1#], [2#, 3] |-> [0#, 3], [2#, 0] |-> [0#, 2], [2#, 0] |-> [2#]) 9.16/2.35 reason 9.16/2.35 remap for 11 rules 9.16/2.35 property Termination 9.16/2.35 has value True 9.16/2.35 for SRS ( [0] ->= [1, 2], [2, 0] ->= [0, 2], [1, 3] ->= [0, 3], [1, 0] ->= [0, 1], [4] |-> [5, 2], [4] |-> [6], [6, 0] |-> [4, 2], [6, 0] |-> [6], [5, 3] |-> [4, 3], [5, 0] |-> [4, 1], [5, 0] |-> [5]) 9.16/2.35 reason 9.16/2.35 weights 9.16/2.35 Map [(0, 2/1), (1, 2/1), (4, 1/1), (5, 1/1)] 9.16/2.35 9.16/2.35 property Termination 9.16/2.35 has value True 9.16/2.35 for SRS ( [0] ->= [1, 2], [2, 0] ->= [0, 2], [1, 3] ->= [0, 3], [1, 0] ->= [0, 1], [4] |-> [5, 2], [5, 3] |-> [4, 3], [5, 0] |-> [4, 1]) 9.16/2.35 reason 9.16/2.35 EDG has 1 SCCs 9.16/2.35 property Termination 9.16/2.35 has value True 9.16/2.35 for SRS ( [4] |-> [5, 2], [5, 0] |-> [4, 1], [5, 3] |-> [4, 3], [0] ->= [1, 2], [2, 0] ->= [0, 2], [1, 3] ->= [0, 3], [1, 0] ->= [0, 1]) 9.16/2.35 reason 9.16/2.38 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 9.16/2.38 interpretation 9.16/2.38 0 / 14A 14A \ 9.16/2.38 \ 12A 12A / 9.16/2.38 1 / 14A 14A \ 9.16/2.38 \ 12A 14A / 9.16/2.38 2 / 0A 0A \ 9.16/2.38 \ -2A -2A / 9.16/2.38 3 / 2A 2A \ 9.16/2.38 \ 2A 2A / 9.16/2.38 4 / 14A 14A \ 9.16/2.38 \ 14A 14A / 9.16/2.38 5 / 14A 15A \ 9.16/2.38 \ 14A 15A / 9.16/2.38 [4] |-> [5, 2] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 14A 14A \ / 14A 14A \ True False 9.16/2.38 \ 14A 14A / \ 14A 14A / 9.16/2.38 [5, 0] |-> [4, 1] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 28A 28A \ / 28A 28A \ True False 9.16/2.38 \ 28A 28A / \ 28A 28A / 9.16/2.38 [5, 3] |-> [4, 3] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 17A 17A \ / 16A 16A \ True True 9.16/2.38 \ 17A 17A / \ 16A 16A / 9.16/2.38 [0] ->= [1, 2] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 14A 14A \ / 14A 14A \ True False 9.16/2.38 \ 12A 12A / \ 12A 12A / 9.16/2.38 [2, 0] ->= [0, 2] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 14A 14A \ / 14A 14A \ True False 9.16/2.38 \ 12A 12A / \ 12A 12A / 9.16/2.38 [1, 3] ->= [0, 3] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 16A 16A \ / 16A 16A \ True False 9.16/2.38 \ 16A 16A / \ 14A 14A / 9.16/2.38 [1, 0] ->= [0, 1] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 28A 28A \ / 28A 28A \ True False 9.16/2.38 \ 26A 26A / \ 26A 26A / 9.16/2.38 property Termination 9.16/2.38 has value True 9.16/2.38 for SRS ( [4] |-> [5, 2], [5, 0] |-> [4, 1], [0] ->= [1, 2], [2, 0] ->= [0, 2], [1, 3] ->= [0, 3], [1, 0] ->= [0, 1]) 9.16/2.38 reason 9.16/2.38 EDG has 1 SCCs 9.16/2.38 property Termination 9.16/2.38 has value True 9.16/2.38 for SRS ( [4] |-> [5, 2], [5, 0] |-> [4, 1], [0] ->= [1, 2], [2, 0] ->= [0, 2], [1, 3] ->= [0, 3], [1, 0] ->= [0, 1]) 9.16/2.38 reason 9.16/2.38 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 9.16/2.38 interpretation 9.16/2.38 0 / 10A 10A \ 9.16/2.38 \ 8A 10A / 9.16/2.38 1 / 8A 10A \ 9.16/2.38 \ 8A 10A / 9.16/2.38 2 / 0A 0A \ 9.16/2.38 \ -2A -2A / 9.16/2.38 3 / 12A 12A \ 9.16/2.38 \ 12A 12A / 9.16/2.38 4 / 8A 8A \ 9.16/2.38 \ 8A 8A / 9.16/2.38 5 / 6A 8A \ 9.16/2.38 \ 6A 8A / 9.16/2.38 [4] |-> [5, 2] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 8A 8A \ / 6A 6A \ True True 9.16/2.38 \ 8A 8A / \ 6A 6A / 9.16/2.38 [5, 0] |-> [4, 1] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 16A 18A \ / 16A 18A \ True False 9.16/2.38 \ 16A 18A / \ 16A 18A / 9.16/2.38 [0] ->= [1, 2] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 10A 10A \ / 8A 8A \ True False 9.16/2.38 \ 8A 10A / \ 8A 8A / 9.16/2.38 [2, 0] ->= [0, 2] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 10A 10A \ / 10A 10A \ True False 9.16/2.38 \ 8A 8A / \ 8A 8A / 9.16/2.38 [1, 3] ->= [0, 3] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 22A 22A \ / 22A 22A \ True False 9.16/2.38 \ 22A 22A / \ 22A 22A / 9.16/2.38 [1, 0] ->= [0, 1] 9.16/2.38 lhs rhs ge gt 9.16/2.38 / 18A 20A \ / 18A 20A \ True False 9.16/2.38 \ 18A 20A / \ 18A 20A / 9.16/2.38 property Termination 9.16/2.38 has value True 9.16/2.38 for SRS ( [5, 0] |-> [4, 1], [0] ->= [1, 2], [2, 0] ->= [0, 2], [1, 3] ->= [0, 3], [1, 0] ->= [0, 1]) 9.16/2.38 reason 9.16/2.38 weights 9.16/2.38 Map [(5, 1/1)] 9.16/2.38 9.16/2.38 property Termination 9.16/2.38 has value True 9.16/2.38 for SRS ( [0] ->= [1, 2], [2, 0] ->= [0, 2], [1, 3] ->= [0, 3], [1, 0] ->= [0, 1]) 9.16/2.38 reason 9.16/2.38 EDG has 0 SCCs 9.16/2.38 9.16/2.38 ************************************************** 9.16/2.38 summary 9.16/2.38 ************************************************** 9.16/2.38 SRS with 4 rules on 4 letters Remap { tracing = False} 9.16/2.38 SRS with 4 rules on 4 letters reverse each lhs and rhs 9.16/2.38 SRS with 4 rules on 4 letters DP transform 9.16/2.39 SRS with 11 rules on 7 letters Remap { tracing = False} 9.16/2.39 SRS with 11 rules on 7 letters weights 9.16/2.39 SRS with 7 rules on 6 letters EDG 9.16/2.39 SRS with 7 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 9.16/2.39 SRS with 6 rules on 6 letters EDG 9.16/2.39 SRS with 6 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 9.16/2.39 SRS with 5 rules on 6 letters weights 9.16/2.39 SRS with 4 rules on 4 letters EDG 9.16/2.39 9.16/2.39 ************************************************** 9.16/2.39 (4, 4)\Deepee(11, 7)\Weight(7, 6)\Matrix{\Arctic}{2}(6, 6)\Matrix{\Arctic}{2}(5, 6)\Weight(4, 4)\EDG[] 9.16/2.39 ************************************************** 9.44/2.41 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]} 9.44/2.41 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 9.44/2.47 EOF