666.21/168.03 YES 666.21/168.03 property Termination 666.21/168.03 has value True 666.21/168.03 for SRS ( [a, l] -> [l, a], [a, c] -> [c, a], [c, a, r] -> [r, a], [l, r, a, a] -> [a, a, l, c, c, c, r]) 666.21/168.03 reason 666.21/168.03 remap for 4 rules 666.21/168.03 property Termination 666.21/168.03 has value True 666.21/168.03 for SRS ( [0, 1] -> [1, 0], [0, 2] -> [2, 0], [2, 0, 3] -> [3, 0], [1, 3, 0, 0] -> [0, 0, 1, 2, 2, 2, 3]) 666.21/168.03 reason 666.21/168.03 reverse each lhs and rhs 666.21/168.03 property Termination 666.21/168.03 has value True 666.21/168.03 for SRS ( [1, 0] -> [0, 1], [2, 0] -> [0, 2], [3, 0, 2] -> [0, 3], [0, 0, 3, 1] -> [3, 2, 2, 2, 1, 0, 0]) 666.21/168.03 reason 666.21/168.03 DP transform 666.21/168.03 property Termination 666.21/168.03 has value True 666.21/168.03 for SRS ( [1, 0] ->= [0, 1], [2, 0] ->= [0, 2], [3, 0, 2] ->= [0, 3], [0, 0, 3, 1] ->= [3, 2, 2, 2, 1, 0, 0], [1#, 0] |-> [0#, 1], [1#, 0] |-> [1#], [2#, 0] |-> [0#, 2], [2#, 0] |-> [2#], [3#, 0, 2] |-> [0#, 3], [3#, 0, 2] |-> [3#], [0#, 0, 3, 1] |-> [3#, 2, 2, 2, 1, 0, 0], [0#, 0, 3, 1] |-> [2#, 2, 2, 1, 0, 0], [0#, 0, 3, 1] |-> [2#, 2, 1, 0, 0], [0#, 0, 3, 1] |-> [2#, 1, 0, 0], [0#, 0, 3, 1] |-> [1#, 0, 0], [0#, 0, 3, 1] |-> [0#, 0], [0#, 0, 3, 1] |-> [0#]) 666.21/168.03 reason 666.21/168.03 remap for 17 rules 666.21/168.03 property Termination 666.21/168.03 has value True 666.21/168.04 for SRS ( [0, 1] ->= [1, 0], [2, 1] ->= [1, 2], [3, 1, 2] ->= [1, 3], [1, 1, 3, 0] ->= [3, 2, 2, 2, 0, 1, 1], [4, 1] |-> [5, 0], [4, 1] |-> [4], [6, 1] |-> [5, 2], [6, 1] |-> [6], [7, 1, 2] |-> [5, 3], [7, 1, 2] |-> [7], [5, 1, 3, 0] |-> [7, 2, 2, 2, 0, 1, 1], [5, 1, 3, 0] |-> [6, 2, 2, 0, 1, 1], [5, 1, 3, 0] |-> [6, 2, 0, 1, 1], [5, 1, 3, 0] |-> [6, 0, 1, 1], [5, 1, 3, 0] |-> [4, 1, 1], [5, 1, 3, 0] |-> [5, 1], [5, 1, 3, 0] |-> [5]) 666.21/168.04 reason 666.21/168.04 weights 666.21/168.04 Map [(0, 1/1), (1, 2/1), (3, 7/3), (7, 1/3)] 666.21/168.04 666.21/168.04 property Termination 666.21/168.04 has value True 666.21/168.04 for SRS ( [0, 1] ->= [1, 0], [2, 1] ->= [1, 2], [3, 1, 2] ->= [1, 3], [1, 1, 3, 0] ->= [3, 2, 2, 2, 0, 1, 1], [7, 1, 2] |-> [5, 3], [5, 1, 3, 0] |-> [7, 2, 2, 2, 0, 1, 1]) 666.21/168.04 reason 666.21/168.04 EDG has 1 SCCs 666.21/168.04 property Termination 666.21/168.04 has value True 666.21/168.04 for SRS ( [7, 1, 2] |-> [5, 3], [5, 1, 3, 0] |-> [7, 2, 2, 2, 0, 1, 1], [0, 1] ->= [1, 0], [2, 1] ->= [1, 2], [3, 1, 2] ->= [1, 3], [1, 1, 3, 0] ->= [3, 2, 2, 2, 0, 1, 1]) 666.21/168.04 reason 666.21/168.04 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 666.21/168.04 interpretation 666.21/168.04 0 / 10A 10A 10A 10A 10A \ 666.21/168.04 | 10A 10A 10A 10A 10A | 666.21/168.04 | 10A 10A 10A 10A 10A | 666.21/168.04 | 10A 10A 10A 10A 10A | 666.21/168.04 \ 10A 10A 10A 10A 10A / 666.21/168.04 1 / 5A 5A 5A 5A 5A \ 666.21/168.04 | 0A 0A 5A 5A 5A | 666.21/168.04 | 0A 0A 0A 5A 5A | 666.21/168.04 | 0A 0A 0A 5A 5A | 666.21/168.04 \ 0A 0A 0A 0A 5A / 666.21/168.04 2 / 0A 0A 0A 0A 0A \ 666.21/168.04 | -5A -5A -5A 0A 0A | 666.21/168.04 | -5A -5A -5A 0A 0A | 666.21/168.04 | -5A -5A -5A -5A 0A | 666.21/168.04 \ -5A -5A -5A -5A -5A / 666.21/168.04 3 / 35A 35A 35A 35A 35A \ 666.21/168.04 | 30A 30A 30A 35A 35A | 666.21/168.04 | 30A 30A 30A 30A 35A | 666.21/168.04 | 30A 30A 30A 30A 30A | 666.21/168.04 \ 30A 30A 30A 30A 30A / 666.21/168.04 5 / 1A 6A 6A 6A 6A \ 666.21/168.04 | 1A 6A 6A 6A 6A | 666.21/168.04 | 1A 6A 6A 6A 6A | 666.21/168.04 | 1A 6A 6A 6A 6A | 666.21/168.04 \ 1A 6A 6A 6A 6A / 666.21/168.04 7 / 36A 41A 41A 41A 41A \ 666.21/168.04 | 36A 41A 41A 41A 41A | 666.21/168.04 | 36A 41A 41A 41A 41A | 666.21/168.04 | 36A 41A 41A 41A 41A | 666.21/168.04 \ 36A 41A 41A 41A 41A / 666.21/168.04 [7, 1, 2] |-> [5, 3] 666.21/168.04 lhs rhs ge gt 666.21/168.04 / 41A 41A 41A 46A 46A \ / 36A 36A 36A 41A 41A \ True True 666.21/168.04 | 41A 41A 41A 46A 46A | | 36A 36A 36A 41A 41A | 666.21/168.04 | 41A 41A 41A 46A 46A | | 36A 36A 36A 41A 41A | 666.21/168.04 | 41A 41A 41A 46A 46A | | 36A 36A 36A 41A 41A | 666.21/168.04 \ 41A 41A 41A 46A 46A / \ 36A 36A 36A 41A 41A / 666.21/168.04 [5, 1, 3, 0] |-> [7, 2, 2, 2, 0, 1, 1] 666.21/168.04 lhs rhs ge gt 666.21/168.04 / 56A 56A 56A 56A 56A \ / 56A 56A 56A 56A 56A \ True False 666.21/168.04 | 56A 56A 56A 56A 56A | | 56A 56A 56A 56A 56A | 666.21/168.04 | 56A 56A 56A 56A 56A | | 56A 56A 56A 56A 56A | 666.21/168.04 | 56A 56A 56A 56A 56A | | 56A 56A 56A 56A 56A | 666.21/168.04 \ 56A 56A 56A 56A 56A / \ 56A 56A 56A 56A 56A / 666.21/168.04 [0, 1] ->= [1, 0] 666.21/168.04 lhs rhs ge gt 666.21/168.04 / 15A 15A 15A 15A 15A \ / 15A 15A 15A 15A 15A \ True False 666.21/168.04 | 15A 15A 15A 15A 15A | | 15A 15A 15A 15A 15A | 666.21/168.04 | 15A 15A 15A 15A 15A | | 15A 15A 15A 15A 15A | 666.21/168.04 | 15A 15A 15A 15A 15A | | 15A 15A 15A 15A 15A | 666.21/168.04 \ 15A 15A 15A 15A 15A / \ 15A 15A 15A 15A 15A / 666.21/168.04 [2, 1] ->= [1, 2] 666.21/168.04 lhs rhs ge gt 666.21/168.04 / 5A 5A 5A 5A 5A \ / 5A 5A 5A 5A 5A \ True False 666.21/168.04 | 0A 0A 0A 5A 5A | | 0A 0A 0A 5A 5A | 666.21/168.04 | 0A 0A 0A 5A 5A | | 0A 0A 0A 0A 5A | 666.21/168.04 | 0A 0A 0A 0A 5A | | 0A 0A 0A 0A 5A | 666.21/168.04 \ 0A 0A 0A 0A 0A / \ 0A 0A 0A 0A 0A / 666.21/168.04 [3, 1, 2] ->= [1, 3] 666.21/168.04 lhs rhs ge gt 666.21/168.04 / 40A 40A 40A 40A 40A \ / 40A 40A 40A 40A 40A \ True False 666.21/168.04 | 35A 35A 35A 35A 40A | | 35A 35A 35A 35A 40A | 666.21/168.04 | 35A 35A 35A 35A 35A | | 35A 35A 35A 35A 35A | 666.21/168.04 | 35A 35A 35A 35A 35A | | 35A 35A 35A 35A 35A | 666.21/168.04 \ 35A 35A 35A 35A 35A / \ 35A 35A 35A 35A 35A / 666.21/168.04 [1, 1, 3, 0] ->= [3, 2, 2, 2, 0, 1, 1] 666.21/168.04 lhs rhs ge gt 666.21/168.05 / 55A 55A 55A 55A 55A \ / 55A 55A 55A 55A 55A \ True False 666.21/168.05 | 50A 50A 50A 50A 50A | | 50A 50A 50A 50A 50A | 666.21/168.05 | 50A 50A 50A 50A 50A | | 50A 50A 50A 50A 50A | 666.21/168.05 | 50A 50A 50A 50A 50A | | 50A 50A 50A 50A 50A | 666.21/168.05 \ 50A 50A 50A 50A 50A / \ 50A 50A 50A 50A 50A / 666.21/168.05 property Termination 666.21/168.05 has value True 666.21/168.05 for SRS ( [5, 1, 3, 0] |-> [7, 2, 2, 2, 0, 1, 1], [0, 1] ->= [1, 0], [2, 1] ->= [1, 2], [3, 1, 2] ->= [1, 3], [1, 1, 3, 0] ->= [3, 2, 2, 2, 0, 1, 1]) 666.21/168.05 reason 666.21/168.05 weights 666.21/168.05 Map [(3, 1/1), (5, 1/1)] 666.21/168.05 666.21/168.05 property Termination 666.21/168.05 has value True 666.21/168.05 for SRS ( [0, 1] ->= [1, 0], [2, 1] ->= [1, 2], [3, 1, 2] ->= [1, 3], [1, 1, 3, 0] ->= [3, 2, 2, 2, 0, 1, 1]) 666.21/168.05 reason 666.21/168.05 EDG has 0 SCCs 666.21/168.05 666.21/168.05 ************************************************** 666.21/168.05 summary 666.21/168.05 ************************************************** 666.21/168.05 SRS with 4 rules on 4 letters Remap { tracing = False} 666.21/168.05 SRS with 4 rules on 4 letters reverse each lhs and rhs 666.21/168.05 SRS with 4 rules on 4 letters DP transform 666.21/168.05 SRS with 17 rules on 8 letters Remap { tracing = False} 666.21/168.05 SRS with 17 rules on 8 letters weights 666.21/168.05 SRS with 6 rules on 6 letters EDG 666.21/168.05 SRS with 6 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 666.21/168.05 SRS with 5 rules on 6 letters weights 666.21/168.05 SRS with 4 rules on 4 letters EDG 666.21/168.05 666.21/168.05 ************************************************** 666.21/168.05 (4, 4)\Deepee(17, 8)\Weight(6, 6)\Matrix{\Arctic}{5}(5, 6)\Weight(4, 4)\EDG[] 666.21/168.05 ************************************************** 666.72/168.16 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]} 666.72/168.16 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 668.43/168.62 EOF