9.45/2.50 YES 9.45/2.50 property Termination 9.45/2.50 has value True 9.45/2.50 for SRS ( [a, a, b] -> [a], [a, b, a] -> [b, b, a], [b, b] -> [a, a, a]) 9.45/2.50 reason 9.45/2.50 remap for 3 rules 9.45/2.50 property Termination 9.45/2.50 has value True 9.45/2.50 for SRS ( [0, 0, 1] -> [0], [0, 1, 0] -> [1, 1, 0], [1, 1] -> [0, 0, 0]) 9.45/2.50 reason 9.45/2.50 DP transform 9.45/2.50 property Termination 9.45/2.50 has value True 9.45/2.50 for SRS ( [0, 0, 1] ->= [0], [0, 1, 0] ->= [1, 1, 0], [1, 1] ->= [0, 0, 0], [0#, 0, 1] |-> [0#], [0#, 1, 0] |-> [1#, 1, 0], [1#, 1] |-> [0#, 0, 0], [1#, 1] |-> [0#, 0], [1#, 1] |-> [0#]) 9.45/2.50 reason 9.45/2.50 remap for 8 rules 9.45/2.50 property Termination 9.45/2.50 has value True 9.45/2.50 for SRS ( [0, 0, 1] ->= [0], [0, 1, 0] ->= [1, 1, 0], [1, 1] ->= [0, 0, 0], [2, 0, 1] |-> [2], [2, 1, 0] |-> [3, 1, 0], [3, 1] |-> [2, 0, 0], [3, 1] |-> [2, 0], [3, 1] |-> [2]) 9.45/2.50 reason 9.45/2.50 EDG has 1 SCCs 9.45/2.50 property Termination 9.45/2.50 has value True 9.45/2.50 for SRS ( [2, 0, 1] |-> [2], [2, 1, 0] |-> [3, 1, 0], [3, 1] |-> [2], [3, 1] |-> [2, 0], [3, 1] |-> [2, 0, 0], [0, 0, 1] ->= [0], [0, 1, 0] ->= [1, 1, 0], [1, 1] ->= [0, 0, 0]) 9.45/2.50 reason 9.45/2.50 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 9.45/2.50 interpretation 9.45/2.50 0 / 0A 0A \ 9.45/2.50 \ 0A 0A / 9.45/2.50 1 / 0A 2A \ 9.45/2.50 \ 0A 0A / 9.45/2.50 2 / 15A 16A \ 9.45/2.50 \ 15A 16A / 9.45/2.50 3 / 15A 16A \ 9.45/2.50 \ 15A 16A / 9.45/2.50 [2, 0, 1] |-> [2] 9.45/2.50 lhs rhs ge gt 9.45/2.50 / 16A 18A \ / 15A 16A \ True True 9.45/2.50 \ 16A 18A / \ 15A 16A / 9.45/2.50 [2, 1, 0] |-> [3, 1, 0] 9.45/2.50 lhs rhs ge gt 9.45/2.50 / 17A 17A \ / 17A 17A \ True False 9.45/2.50 \ 17A 17A / \ 17A 17A / 9.45/2.50 [3, 1] |-> [2] 9.45/2.50 lhs rhs ge gt 9.45/2.50 / 16A 17A \ / 15A 16A \ True True 9.45/2.50 \ 16A 17A / \ 15A 16A / 9.45/2.50 [3, 1] |-> [2, 0] 9.45/2.50 lhs rhs ge gt 9.45/2.50 / 16A 17A \ / 16A 16A \ True False 9.45/2.50 \ 16A 17A / \ 16A 16A / 9.45/2.50 [3, 1] |-> [2, 0, 0] 9.45/2.50 lhs rhs ge gt 9.45/2.50 / 16A 17A \ / 16A 16A \ True False 9.45/2.50 \ 16A 17A / \ 16A 16A / 9.45/2.50 [0, 0, 1] ->= [0] 9.45/2.50 lhs rhs ge gt 9.45/2.50 / 0A 2A \ / 0A 0A \ True False 9.45/2.50 \ 0A 2A / \ 0A 0A / 9.45/2.50 [0, 1, 0] ->= [1, 1, 0] 9.45/2.50 lhs rhs ge gt 9.45/2.50 / 2A 2A \ / 2A 2A \ True False 9.45/2.50 \ 2A 2A / \ 2A 2A / 9.45/2.50 [1, 1] ->= [0, 0, 0] 9.45/2.50 lhs rhs ge gt 9.45/2.50 / 2A 2A \ / 0A 0A \ True False 9.45/2.51 \ 0A 2A / \ 0A 0A / 9.45/2.51 property Termination 9.45/2.51 has value True 9.45/2.51 for SRS ( [2, 1, 0] |-> [3, 1, 0], [3, 1] |-> [2, 0], [3, 1] |-> [2, 0, 0], [0, 0, 1] ->= [0], [0, 1, 0] ->= [1, 1, 0], [1, 1] ->= [0, 0, 0]) 9.45/2.51 reason 9.45/2.51 EDG has 1 SCCs 9.45/2.51 property Termination 9.45/2.51 has value True 9.45/2.51 for SRS ( [2, 1, 0] |-> [3, 1, 0], [3, 1] |-> [2, 0, 0], [3, 1] |-> [2, 0], [0, 0, 1] ->= [0], [0, 1, 0] ->= [1, 1, 0], [1, 1] ->= [0, 0, 0]) 9.45/2.51 reason 9.45/2.51 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 9.45/2.51 interpretation 9.45/2.51 0 / 0A 2A \ 9.45/2.51 \ -2A 0A / 9.45/2.51 1 / 0A 2A \ 9.45/2.51 \ 0A 0A / 9.45/2.51 2 / 4A 6A \ 9.45/2.51 \ 4A 6A / 9.45/2.51 3 / 4A 4A \ 9.45/2.51 \ 4A 4A / 9.45/2.51 [2, 1, 0] |-> [3, 1, 0] 9.45/2.51 lhs rhs ge gt 9.45/2.51 / 6A 8A \ / 4A 6A \ True True 9.45/2.51 \ 6A 8A / \ 4A 6A / 9.45/2.51 [3, 1] |-> [2, 0, 0] 9.45/2.51 lhs rhs ge gt 9.45/2.51 / 4A 6A \ / 4A 6A \ True False 9.45/2.51 \ 4A 6A / \ 4A 6A / 9.45/2.51 [3, 1] |-> [2, 0] 9.45/2.51 lhs rhs ge gt 9.45/2.51 / 4A 6A \ / 4A 6A \ True False 9.45/2.51 \ 4A 6A / \ 4A 6A / 9.45/2.51 [0, 0, 1] ->= [0] 9.45/2.51 lhs rhs ge gt 9.45/2.51 / 2A 2A \ / 0A 2A \ True False 9.45/2.51 \ 0A 0A / \ -2A 0A / 9.45/2.51 [0, 1, 0] ->= [1, 1, 0] 9.45/2.51 lhs rhs ge gt 9.45/2.51 / 2A 4A \ / 2A 4A \ True False 9.45/2.51 \ 0A 2A / \ 0A 2A / 9.45/2.51 [1, 1] ->= [0, 0, 0] 9.45/2.51 lhs rhs ge gt 9.45/2.51 / 2A 2A \ / 0A 2A \ True False 9.45/2.51 \ 0A 2A / \ -2A 0A / 9.45/2.51 property Termination 9.45/2.51 has value True 9.45/2.51 for SRS ( [3, 1] |-> [2, 0, 0], [3, 1] |-> [2, 0], [0, 0, 1] ->= [0], [0, 1, 0] ->= [1, 1, 0], [1, 1] ->= [0, 0, 0]) 9.45/2.51 reason 9.45/2.51 weights 9.45/2.51 Map [(3, 2/1)] 9.45/2.51 9.45/2.51 property Termination 9.45/2.51 has value True 9.45/2.51 for SRS ( [0, 0, 1] ->= [0], [0, 1, 0] ->= [1, 1, 0], [1, 1] ->= [0, 0, 0]) 9.45/2.51 reason 9.45/2.51 EDG has 0 SCCs 9.45/2.51 9.45/2.51 ************************************************** 9.45/2.51 summary 9.45/2.51 ************************************************** 9.45/2.51 SRS with 3 rules on 2 letters Remap { tracing = False} 9.45/2.51 SRS with 3 rules on 2 letters DP transform 9.45/2.51 SRS with 8 rules on 4 letters Remap { tracing = False} 9.45/2.51 SRS with 8 rules on 4 letters EDG 9.45/2.51 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 9.45/2.51 SRS with 6 rules on 4 letters EDG 9.45/2.51 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 9.45/2.51 SRS with 5 rules on 4 letters weights 9.45/2.51 SRS with 3 rules on 2 letters EDG 9.45/2.51 9.45/2.51 ************************************************** 9.45/2.51 (3, 2)\Deepee(8, 4)\Matrix{\Arctic}{2}(6, 4)\Matrix{\Arctic}{2}(5, 4)\Weight(3, 2)\EDG[] 9.45/2.51 ************************************************** 11.61/3.09 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]} 11.61/3.09 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 11.61/3.11 EOF