12.72/3.28 YES 12.72/3.28 property Termination 12.72/3.28 has value True 12.72/3.28 for SRS ( [a, b, b, a] -> [a, c, a, b], [a, c] -> [c, c, a], [c, c, c] -> [b, c, b]) 12.72/3.28 reason 12.72/3.28 remap for 3 rules 12.72/3.28 property Termination 12.72/3.28 has value True 12.72/3.28 for SRS ( [0, 1, 1, 0] -> [0, 2, 0, 1], [0, 2] -> [2, 2, 0], [2, 2, 2] -> [1, 2, 1]) 12.72/3.28 reason 12.72/3.28 reverse each lhs and rhs 12.72/3.28 property Termination 12.72/3.28 has value True 12.72/3.28 for SRS ( [0, 1, 1, 0] -> [1, 0, 2, 0], [2, 0] -> [0, 2, 2], [2, 2, 2] -> [1, 2, 1]) 12.72/3.28 reason 12.72/3.28 DP transform 12.72/3.28 property Termination 12.72/3.28 has value True 12.72/3.28 for SRS ( [0, 1, 1, 0] ->= [1, 0, 2, 0], [2, 0] ->= [0, 2, 2], [2, 2, 2] ->= [1, 2, 1], [0#, 1, 1, 0] |-> [0#, 2, 0], [0#, 1, 1, 0] |-> [2#, 0], [2#, 0] |-> [0#, 2, 2], [2#, 0] |-> [2#, 2], [2#, 0] |-> [2#], [2#, 2, 2] |-> [2#, 1]) 12.72/3.28 reason 12.72/3.28 remap for 9 rules 12.72/3.28 property Termination 12.72/3.28 has value True 12.72/3.28 for SRS ( [0, 1, 1, 0] ->= [1, 0, 2, 0], [2, 0] ->= [0, 2, 2], [2, 2, 2] ->= [1, 2, 1], [3, 1, 1, 0] |-> [3, 2, 0], [3, 1, 1, 0] |-> [4, 0], [4, 0] |-> [3, 2, 2], [4, 0] |-> [4, 2], [4, 0] |-> [4], [4, 2, 2] |-> [4, 1]) 12.72/3.28 reason 12.72/3.28 weights 12.72/3.28 Map [(0, 2/1), (3, 1/1)] 12.72/3.28 12.72/3.28 property Termination 12.72/3.28 has value True 12.72/3.28 for SRS ( [0, 1, 1, 0] ->= [1, 0, 2, 0], [2, 0] ->= [0, 2, 2], [2, 2, 2] ->= [1, 2, 1], [3, 1, 1, 0] |-> [3, 2, 0], [4, 2, 2] |-> [4, 1]) 12.72/3.28 reason 12.72/3.28 EDG has 1 SCCs 12.72/3.28 property Termination 12.72/3.29 has value True 12.72/3.29 for SRS ( [3, 1, 1, 0] |-> [3, 2, 0], [0, 1, 1, 0] ->= [1, 0, 2, 0], [2, 0] ->= [0, 2, 2], [2, 2, 2] ->= [1, 2, 1]) 12.72/3.29 reason 12.72/3.29 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 13.03/3.32 interpretation 13.03/3.32 0 / 30A 30A 35A 35A 35A \ 13.03/3.32 | 30A 30A 35A 35A 35A | 13.03/3.32 | 30A 30A 35A 35A 35A | 13.03/3.32 | 25A 30A 30A 30A 30A | 13.03/3.32 \ 25A 25A 30A 30A 30A / 13.03/3.32 1 / 0A 0A 0A 5A 5A \ 13.03/3.32 | 0A 0A 0A 5A 5A | 13.03/3.32 | -5A -5A 0A 0A 0A | 13.03/3.32 | -5A -5A 0A 0A 0A | 13.03/3.32 \ -5A -5A -5A 0A 0A / 13.03/3.32 2 / 0A 0A 0A 0A 5A \ 13.03/3.33 | 0A 0A 0A 0A 5A | 13.03/3.33 | -5A -5A 0A 0A 0A | 13.03/3.33 | -5A -5A 0A 0A 0A | 13.03/3.33 \ -5A -5A 0A 0A 0A / 13.03/3.33 3 / 30A 35A 35A 35A 35A \ 13.03/3.33 | 30A 35A 35A 35A 35A | 13.03/3.33 | 30A 35A 35A 35A 35A | 13.03/3.33 | 30A 35A 35A 35A 35A | 13.03/3.33 \ 30A 35A 35A 35A 35A / 13.03/3.33 [3, 1, 1, 0] |-> [3, 2, 0] 13.03/3.33 lhs rhs ge gt 13.03/3.34 / 70A 70A 75A 75A 75A \ / 65A 65A 70A 70A 70A \ True True 13.03/3.34 | 70A 70A 75A 75A 75A | | 65A 65A 70A 70A 70A | 13.03/3.34 | 70A 70A 75A 75A 75A | | 65A 65A 70A 70A 70A | 13.03/3.34 | 70A 70A 75A 75A 75A | | 65A 65A 70A 70A 70A | 13.03/3.34 \ 70A 70A 75A 75A 75A / \ 65A 65A 70A 70A 70A / 13.03/3.34 [0, 1, 1, 0] ->= [1, 0, 2, 0] 13.03/3.34 lhs rhs ge gt 13.03/3.34 / 65A 65A 70A 70A 70A \ / 65A 65A 70A 70A 70A \ True False 13.03/3.34 | 65A 65A 70A 70A 70A | | 65A 65A 70A 70A 70A | 13.03/3.34 | 65A 65A 70A 70A 70A | | 65A 65A 70A 70A 70A | 13.03/3.34 | 65A 65A 70A 70A 70A | | 65A 65A 70A 70A 70A | 13.03/3.34 \ 60A 60A 65A 65A 65A / \ 60A 60A 65A 65A 65A / 13.03/3.34 [2, 0] ->= [0, 2, 2] 13.03/3.34 lhs rhs ge gt 13.03/3.34 / 30A 30A 35A 35A 35A \ / 30A 30A 35A 35A 35A \ True False 13.03/3.34 | 30A 30A 35A 35A 35A | | 30A 30A 35A 35A 35A | 13.03/3.34 | 30A 30A 35A 35A 35A | | 30A 30A 35A 35A 35A | 13.03/3.34 | 30A 30A 35A 35A 35A | | 30A 30A 35A 35A 35A | 13.03/3.34 \ 30A 30A 35A 35A 35A / \ 25A 25A 30A 30A 30A / 13.03/3.34 [2, 2, 2] ->= [1, 2, 1] 13.03/3.34 lhs rhs ge gt 13.03/3.35 / 0A 0A 5A 5A 5A \ / 0A 0A 5A 5A 5A \ True False 13.03/3.35 | 0A 0A 5A 5A 5A | | 0A 0A 5A 5A 5A | 13.03/3.35 | -5A -5A 0A 0A 0A | | -5A -5A 0A 0A 0A | 13.03/3.35 | -5A -5A 0A 0A 0A | | -5A -5A 0A 0A 0A | 13.03/3.35 \ -5A -5A 0A 0A 0A / \ -5A -5A 0A 0A 0A / 13.03/3.35 property Termination 13.03/3.35 has value True 13.03/3.35 for SRS ( [0, 1, 1, 0] ->= [1, 0, 2, 0], [2, 0] ->= [0, 2, 2], [2, 2, 2] ->= [1, 2, 1]) 13.03/3.35 reason 13.03/3.35 EDG has 0 SCCs 13.03/3.35 13.03/3.35 ************************************************** 13.03/3.35 summary 13.03/3.35 ************************************************** 13.03/3.36 SRS with 3 rules on 3 letters Remap { tracing = False} 13.03/3.36 SRS with 3 rules on 3 letters reverse each lhs and rhs 13.03/3.36 SRS with 3 rules on 3 letters DP transform 13.03/3.36 SRS with 9 rules on 5 letters Remap { tracing = False} 13.03/3.36 SRS with 9 rules on 5 letters weights 13.03/3.36 SRS with 5 rules on 5 letters EDG 13.03/3.37 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 13.03/3.37 SRS with 3 rules on 3 letters EDG 13.03/3.37 13.03/3.37 ************************************************** 13.36/3.42 (3, 3)\Deepee(9, 5)\Weight(5, 5)\EDG(4, 4)\Matrix{\Arctic}{5}(3, 3)\EDG[] 13.36/3.42 ************************************************** 13.36/3.44 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]} 13.36/3.44 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 13.80/3.51 EOF