7.59/1.94 YES 7.59/1.94 property Termination 7.59/1.94 has value True 7.59/1.95 for SRS ( [a, a, a, b] -> [b, a, a, a], [b, a, b, a] -> [a, b, b, a]) 7.59/1.95 reason 7.59/1.95 remap for 2 rules 7.59/1.95 property Termination 7.59/1.95 has value True 7.59/1.95 for SRS ( [0, 0, 0, 1] -> [1, 0, 0, 0], [1, 0, 1, 0] -> [0, 1, 1, 0]) 7.59/1.95 reason 7.59/1.95 DP transform 7.59/1.95 property Termination 7.59/1.95 has value True 7.59/1.98 for SRS ( [0, 0, 0, 1] ->= [1, 0, 0, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0], [0#, 0, 0, 1] |-> [1#, 0, 0, 0], [0#, 0, 0, 1] |-> [0#, 0, 0], [0#, 0, 0, 1] |-> [0#, 0], [0#, 0, 0, 1] |-> [0#], [1#, 0, 1, 0] |-> [0#, 1, 1, 0], [1#, 0, 1, 0] |-> [1#, 1, 0]) 7.59/1.98 reason 7.59/1.98 remap for 8 rules 7.59/1.98 property Termination 7.59/1.98 has value True 7.59/1.98 for SRS ( [0, 0, 0, 1] ->= [1, 0, 0, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0], [2, 0, 0, 1] |-> [3, 0, 0, 0], [2, 0, 0, 1] |-> [2, 0, 0], [2, 0, 0, 1] |-> [2, 0], [2, 0, 0, 1] |-> [2], [3, 0, 1, 0] |-> [2, 1, 1, 0], [3, 0, 1, 0] |-> [3, 1, 0]) 7.59/1.98 reason 7.59/1.98 weights 7.59/1.98 Map [(0, 1/7), (1, 1/7)] 7.59/1.98 7.59/1.98 property Termination 7.59/1.98 has value True 7.59/1.98 for SRS ( [0, 0, 0, 1] ->= [1, 0, 0, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0], [2, 0, 0, 1] |-> [3, 0, 0, 0], [3, 0, 1, 0] |-> [2, 1, 1, 0]) 7.59/1.98 reason 7.59/1.98 EDG has 1 SCCs 7.59/1.98 property Termination 7.59/1.98 has value True 7.59/1.98 for SRS ( [2, 0, 0, 1] |-> [3, 0, 0, 0], [3, 0, 1, 0] |-> [2, 1, 1, 0], [0, 0, 0, 1] ->= [1, 0, 0, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0]) 7.59/1.98 reason 7.59/1.98 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 7.59/1.98 interpretation 7.59/1.98 0 / 3A 6A 6A \ 7.59/1.98 | 3A 3A 6A | 7.59/1.98 \ 3A 3A 3A / 7.59/1.98 1 / 12A 12A 15A \ 7.59/1.98 | 9A 9A 12A | 7.59/1.98 \ 9A 9A 12A / 7.59/1.98 2 / 13A 14A 15A \ 7.59/1.98 | 13A 14A 15A | 7.59/1.98 \ 13A 14A 15A / 7.59/1.98 3 / 19A 19A 22A \ 7.59/1.98 | 19A 19A 22A | 7.59/1.98 \ 19A 19A 22A / 7.59/1.98 [2, 0, 0, 1] |-> [3, 0, 0, 0] 7.59/1.98 lhs rhs ge gt 7.77/1.98 / 35A 35A 38A \ / 34A 34A 37A \ True True 7.77/1.99 | 35A 35A 38A | | 34A 34A 37A | 7.77/1.99 \ 35A 35A 38A / \ 34A 34A 37A / 7.77/1.99 [3, 0, 1, 0] |-> [2, 1, 1, 0] 7.77/1.99 lhs rhs ge gt 7.77/1.99 / 43A 43A 43A \ / 43A 43A 43A \ True False 7.77/1.99 | 43A 43A 43A | | 43A 43A 43A | 7.77/1.99 \ 43A 43A 43A / \ 43A 43A 43A / 7.77/1.99 [0, 0, 0, 1] ->= [1, 0, 0, 0] 7.77/1.99 lhs rhs ge gt 7.77/1.99 / 27A 27A 30A \ / 27A 27A 30A \ True False 7.77/1.99 | 24A 24A 27A | | 24A 24A 27A | 7.77/1.99 \ 24A 24A 27A / \ 24A 24A 27A / 7.77/1.99 [1, 0, 1, 0] ->= [0, 1, 1, 0] 7.77/1.99 lhs rhs ge gt 7.77/1.99 / 36A 36A 36A \ / 33A 33A 33A \ True False 7.77/1.99 | 33A 33A 33A | | 33A 33A 33A | 7.77/1.99 \ 33A 33A 33A / \ 33A 33A 33A / 7.77/1.99 property Termination 7.77/1.99 has value True 7.77/1.99 for SRS ( [3, 0, 1, 0] |-> [2, 1, 1, 0], [0, 0, 0, 1] ->= [1, 0, 0, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0]) 7.77/1.99 reason 7.77/1.99 weights 7.77/1.99 Map [(0, 1/1), (3, 1/1)] 7.77/1.99 7.77/1.99 property Termination 7.77/1.99 has value True 7.77/1.99 for SRS ( [0, 0, 0, 1] ->= [1, 0, 0, 0], [1, 0, 1, 0] ->= [0, 1, 1, 0]) 7.77/1.99 reason 7.77/1.99 EDG has 0 SCCs 7.77/1.99 7.77/1.99 ************************************************** 7.77/1.99 summary 7.77/1.99 ************************************************** 7.77/1.99 SRS with 2 rules on 2 letters Remap { tracing = False} 7.77/1.99 SRS with 2 rules on 2 letters DP transform 7.77/1.99 SRS with 8 rules on 4 letters Remap { tracing = False} 7.77/1.99 SRS with 8 rules on 4 letters weights 7.77/1.99 SRS with 4 rules on 4 letters EDG 7.77/1.99 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 7.77/1.99 SRS with 3 rules on 4 letters weights 7.77/1.99 SRS with 2 rules on 2 letters EDG 7.77/1.99 7.77/1.99 ************************************************** 7.77/1.99 (2, 2)\Deepee(8, 4)\Weight(4, 4)\Matrix{\Arctic}{3}(3, 4)\Weight(2, 2)\EDG[] 7.77/1.99 ************************************************** 7.77/2.04 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]} 7.77/2.04 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 8.22/2.15 EOF