4.04/1.06 YES 4.04/1.06 property Termination 4.04/1.06 has value True 4.04/1.06 for SRS ( [a] -> [], [a, a, b, a] -> [b, b, a, a, a], [b] -> [a]) 4.04/1.06 reason 4.04/1.06 remap for 3 rules 4.04/1.06 property Termination 4.04/1.06 has value True 4.04/1.06 for SRS ( [0] -> [], [0, 0, 1, 0] -> [1, 1, 0, 0, 0], [1] -> [0]) 4.04/1.06 reason 4.04/1.06 DP transform 4.04/1.06 property Termination 4.04/1.06 has value True 4.04/1.06 for SRS ( [0] ->= [], [0, 0, 1, 0] ->= [1, 1, 0, 0, 0], [1] ->= [0], [0#, 0, 1, 0] |-> [1#, 1, 0, 0, 0], [0#, 0, 1, 0] |-> [1#, 0, 0, 0], [0#, 0, 1, 0] |-> [0#, 0, 0], [0#, 0, 1, 0] |-> [0#, 0], [1#] |-> [0#]) 4.04/1.06 reason 4.04/1.06 remap for 8 rules 4.04/1.06 property Termination 4.04/1.06 has value True 4.04/1.06 for SRS ( [0] ->= [], [0, 0, 1, 0] ->= [1, 1, 0, 0, 0], [1] ->= [0], [2, 0, 1, 0] |-> [3, 1, 0, 0, 0], [2, 0, 1, 0] |-> [3, 0, 0, 0], [2, 0, 1, 0] |-> [2, 0, 0], [2, 0, 1, 0] |-> [2, 0], [3] |-> [2]) 4.04/1.06 reason 4.04/1.06 EDG has 1 SCCs 4.04/1.06 property Termination 4.04/1.06 has value True 4.04/1.06 for SRS ( [2, 0, 1, 0] |-> [3, 1, 0, 0, 0], [3] |-> [2], [2, 0, 1, 0] |-> [2, 0], [2, 0, 1, 0] |-> [2, 0, 0], [2, 0, 1, 0] |-> [3, 0, 0, 0], [0] ->= [], [0, 0, 1, 0] ->= [1, 1, 0, 0, 0], [1] ->= [0]) 4.04/1.06 reason 4.04/1.06 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.04/1.06 interpretation 4.04/1.06 0 / 0A 2A \ 4.04/1.06 \ -2A 0A / 4.04/1.06 1 / 0A 2A \ 4.04/1.06 \ 0A 0A / 4.04/1.06 2 / 23A 25A \ 4.04/1.06 \ 23A 25A / 4.04/1.06 3 / 25A 25A \ 4.04/1.06 \ 25A 25A / 4.04/1.06 [2, 0, 1, 0] |-> [3, 1, 0, 0, 0] 4.04/1.06 lhs rhs ge gt 4.04/1.06 / 25A 27A \ / 25A 27A \ True False 4.04/1.06 \ 25A 27A / \ 25A 27A / 4.04/1.06 [3] |-> [2] 4.04/1.06 lhs rhs ge gt 4.04/1.06 / 25A 25A \ / 23A 25A \ True False 4.04/1.06 \ 25A 25A / \ 23A 25A / 4.04/1.06 [2, 0, 1, 0] |-> [2, 0] 4.04/1.06 lhs rhs ge gt 4.04/1.06 / 25A 27A \ / 23A 25A \ True True 4.04/1.06 \ 25A 27A / \ 23A 25A / 4.04/1.06 [2, 0, 1, 0] |-> [2, 0, 0] 4.04/1.06 lhs rhs ge gt 4.04/1.06 / 25A 27A \ / 23A 25A \ True True 4.04/1.06 \ 25A 27A / \ 23A 25A / 4.04/1.06 [2, 0, 1, 0] |-> [3, 0, 0, 0] 4.04/1.06 lhs rhs ge gt 4.04/1.06 / 25A 27A \ / 25A 27A \ True False 4.04/1.06 \ 25A 27A / \ 25A 27A / 4.04/1.07 [0] ->= [] 4.04/1.07 lhs rhs ge gt 4.04/1.07 / 0A 2A \ / 0A - \ True False 4.04/1.07 \ -2A 0A / \ - 0A / 4.04/1.07 [0, 0, 1, 0] ->= [1, 1, 0, 0, 0] 4.04/1.07 lhs rhs ge gt 4.04/1.07 / 2A 4A \ / 2A 4A \ True False 4.04/1.07 \ 0A 2A / \ 0A 2A / 4.04/1.07 [1] ->= [0] 4.04/1.07 lhs rhs ge gt 4.04/1.07 / 0A 2A \ / 0A 2A \ True False 4.04/1.07 \ 0A 0A / \ -2A 0A / 4.04/1.07 property Termination 4.04/1.07 has value True 4.24/1.09 for SRS ( [2, 0, 1, 0] |-> [3, 1, 0, 0, 0], [3] |-> [2], [2, 0, 1, 0] |-> [3, 0, 0, 0], [0] ->= [], [0, 0, 1, 0] ->= [1, 1, 0, 0, 0], [1] ->= [0]) 4.24/1.09 reason 4.24/1.09 EDG has 1 SCCs 4.24/1.09 property Termination 4.24/1.09 has value True 4.24/1.09 for SRS ( [2, 0, 1, 0] |-> [3, 1, 0, 0, 0], [3] |-> [2], [2, 0, 1, 0] |-> [3, 0, 0, 0], [0] ->= [], [0, 0, 1, 0] ->= [1, 1, 0, 0, 0], [1] ->= [0]) 4.24/1.09 reason 4.24/1.09 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.24/1.09 interpretation 4.24/1.09 0 / 0A 0A \ 4.24/1.09 \ 0A 0A / 4.24/1.09 1 / 0A 2A \ 4.24/1.09 \ 0A 0A / 4.24/1.09 2 / 10A 12A \ 4.24/1.09 \ 10A 12A / 4.24/1.09 3 / 10A 12A \ 4.24/1.09 \ 10A 12A / 4.24/1.09 [2, 0, 1, 0] |-> [3, 1, 0, 0, 0] 4.24/1.09 lhs rhs ge gt 4.24/1.09 / 14A 14A \ / 12A 12A \ True True 4.24/1.09 \ 14A 14A / \ 12A 12A / 4.24/1.09 [3] |-> [2] 4.24/1.09 lhs rhs ge gt 4.24/1.09 / 10A 12A \ / 10A 12A \ True False 4.24/1.09 \ 10A 12A / \ 10A 12A / 4.24/1.09 [2, 0, 1, 0] |-> [3, 0, 0, 0] 4.24/1.09 lhs rhs ge gt 4.24/1.09 / 14A 14A \ / 12A 12A \ True True 4.24/1.09 \ 14A 14A / \ 12A 12A / 4.24/1.09 [0] ->= [] 4.24/1.09 lhs rhs ge gt 4.24/1.09 / 0A 0A \ / 0A - \ True False 4.24/1.09 \ 0A 0A / \ - 0A / 4.24/1.09 [0, 0, 1, 0] ->= [1, 1, 0, 0, 0] 4.24/1.09 lhs rhs ge gt 4.24/1.09 / 2A 2A \ / 2A 2A \ True False 4.24/1.09 \ 2A 2A / \ 2A 2A / 4.24/1.09 [1] ->= [0] 4.24/1.09 lhs rhs ge gt 4.24/1.09 / 0A 2A \ / 0A 0A \ True False 4.24/1.09 \ 0A 0A / \ 0A 0A / 4.24/1.09 property Termination 4.24/1.09 has value True 4.24/1.10 for SRS ( [3] |-> [2], [0] ->= [], [0, 0, 1, 0] ->= [1, 1, 0, 0, 0], [1] ->= [0]) 4.24/1.11 reason 4.24/1.11 weights 4.24/1.11 Map [(3, 1/1)] 4.24/1.11 4.24/1.11 property Termination 4.24/1.11 has value True 4.24/1.11 for SRS ( [0] ->= [], [0, 0, 1, 0] ->= [1, 1, 0, 0, 0], [1] ->= [0]) 4.24/1.11 reason 4.24/1.11 EDG has 0 SCCs 4.24/1.11 4.24/1.11 ************************************************** 4.24/1.11 summary 4.24/1.11 ************************************************** 4.24/1.11 SRS with 3 rules on 2 letters Remap { tracing = False} 4.24/1.11 SRS with 3 rules on 2 letters DP transform 4.24/1.11 SRS with 8 rules on 4 letters Remap { tracing = False} 4.24/1.11 SRS with 8 rules on 4 letters EDG 4.24/1.11 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.24/1.11 SRS with 6 rules on 4 letters EDG 4.24/1.11 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 4.24/1.11 SRS with 4 rules on 4 letters weights 4.24/1.11 SRS with 3 rules on 2 letters EDG 4.24/1.11 4.24/1.11 ************************************************** 4.24/1.11 (3, 2)\Deepee(8, 4)\Matrix{\Arctic}{2}(6, 4)\Matrix{\Arctic}{2}(4, 4)\Weight(3, 2)\EDG[] 4.24/1.11 ************************************************** 7.14/1.89 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]} 7.14/1.89 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 7.39/1.93 EOF