7.42/1.90 YES 7.42/1.90 property Termination 7.42/1.90 has value True 7.42/1.90 for SRS ( [a] -> [], [a, b] -> [c, b, a], [b] -> [a], [c, c] -> [b]) 7.42/1.90 reason 7.42/1.90 remap for 4 rules 7.42/1.90 property Termination 7.42/1.91 has value True 7.42/1.91 for SRS ( [0] -> [], [0, 1] -> [2, 1, 0], [1] -> [0], [2, 2] -> [1]) 7.42/1.91 reason 7.42/1.91 DP transform 7.42/1.91 property Termination 7.42/1.91 has value True 7.42/1.91 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 0], [1] ->= [0], [2, 2] ->= [1], [0#, 1] |-> [2#, 1, 0], [0#, 1] |-> [1#, 0], [0#, 1] |-> [0#], [1#] |-> [0#], [2#, 2] |-> [1#]) 7.42/1.91 reason 7.42/1.91 remap for 9 rules 7.42/1.92 property Termination 7.42/1.92 has value True 7.42/1.92 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 0], [1] ->= [0], [2, 2] ->= [1], [3, 1] |-> [4, 1, 0], [3, 1] |-> [5, 0], [3, 1] |-> [3], [5] |-> [3], [4, 2] |-> [5]) 7.42/1.92 reason 7.42/1.92 EDG has 1 SCCs 7.42/1.92 property Termination 7.42/1.92 has value True 7.42/1.93 for SRS ( [3, 1] |-> [4, 1, 0], [4, 2] |-> [5], [5] |-> [3], [3, 1] |-> [3], [3, 1] |-> [5, 0], [0] ->= [], [0, 1] ->= [2, 1, 0], [1] ->= [0], [2, 2] ->= [1]) 7.42/1.93 reason 7.42/1.93 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 7.42/1.93 interpretation 7.42/1.93 0 / 0A 2A \ 7.42/1.93 \ -2A 0A / 7.42/1.93 1 / 0A 2A \ 7.42/1.93 \ 0A 2A / 7.42/1.93 2 / 0A 2A \ 7.42/1.93 \ 0A 0A / 7.42/1.93 3 / 23A 24A \ 7.42/1.93 \ 23A 24A / 7.42/1.93 4 / 23A 24A \ 7.42/1.93 \ 23A 24A / 7.42/1.93 5 / 24A 24A \ 7.42/1.93 \ 24A 24A / 7.42/1.93 [3, 1] |-> [4, 1, 0] 7.42/1.93 lhs rhs ge gt 7.42/1.93 / 24A 26A \ / 24A 26A \ True False 7.42/1.93 \ 24A 26A / \ 24A 26A / 7.42/1.93 [4, 2] |-> [5] 7.42/1.93 lhs rhs ge gt 7.42/1.93 / 24A 25A \ / 24A 24A \ True False 7.42/1.93 \ 24A 25A / \ 24A 24A / 7.42/1.93 [5] |-> [3] 7.42/1.93 lhs rhs ge gt 7.42/1.93 / 24A 24A \ / 23A 24A \ True False 7.42/1.93 \ 24A 24A / \ 23A 24A / 7.42/1.93 [3, 1] |-> [3] 7.42/1.93 lhs rhs ge gt 7.42/1.93 / 24A 26A \ / 23A 24A \ True True 7.42/1.93 \ 24A 26A / \ 23A 24A / 7.42/1.93 [3, 1] |-> [5, 0] 7.42/1.93 lhs rhs ge gt 7.42/1.93 / 24A 26A \ / 24A 26A \ True False 7.42/1.93 \ 24A 26A / \ 24A 26A / 7.42/1.93 [0] ->= [] 7.42/1.93 lhs rhs ge gt 7.42/1.93 / 0A 2A \ / 0A - \ True False 7.42/1.93 \ -2A 0A / \ - 0A / 7.42/1.93 [0, 1] ->= [2, 1, 0] 7.42/1.93 lhs rhs ge gt 7.42/1.93 / 2A 4A \ / 2A 4A \ True False 7.42/1.93 \ 0A 2A / \ 0A 2A / 7.42/1.93 [1] ->= [0] 7.42/1.93 lhs rhs ge gt 7.42/1.93 / 0A 2A \ / 0A 2A \ True False 7.42/1.93 \ 0A 2A / \ -2A 0A / 7.42/1.93 [2, 2] ->= [1] 7.42/1.93 lhs rhs ge gt 7.42/1.93 / 2A 2A \ / 0A 2A \ True False 7.42/1.93 \ 0A 2A / \ 0A 2A / 7.42/1.93 property Termination 7.42/1.93 has value True 7.42/1.93 for SRS ( [3, 1] |-> [4, 1, 0], [4, 2] |-> [5], [5] |-> [3], [3, 1] |-> [5, 0], [0] ->= [], [0, 1] ->= [2, 1, 0], [1] ->= [0], [2, 2] ->= [1]) 7.42/1.93 reason 7.42/1.93 EDG has 1 SCCs 7.42/1.93 property Termination 7.42/1.93 has value True 7.42/1.94 for SRS ( [3, 1] |-> [4, 1, 0], [4, 2] |-> [5], [5] |-> [3], [3, 1] |-> [5, 0], [0] ->= [], [0, 1] ->= [2, 1, 0], [1] ->= [0], [2, 2] ->= [1]) 7.42/1.94 reason 7.42/1.94 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 7.42/1.94 interpretation 7.42/1.94 0 / 0A 0A \ 7.42/1.94 \ 0A 0A / 7.42/1.94 1 / 2A 2A \ 7.42/1.94 \ 0A 0A / 7.42/1.94 2 / 0A 2A \ 7.42/1.94 \ 0A 2A / 7.42/1.94 3 / 5A 5A \ 7.42/1.94 \ 5A 5A / 7.42/1.94 4 / 3A 5A \ 7.42/1.94 \ 3A 5A / 7.42/1.94 5 / 5A 5A \ 7.42/1.94 \ 5A 5A / 7.42/1.94 [3, 1] |-> [4, 1, 0] 7.42/1.94 lhs rhs ge gt 7.42/1.94 / 7A 7A \ / 5A 5A \ True True 7.42/1.94 \ 7A 7A / \ 5A 5A / 7.42/1.94 [4, 2] |-> [5] 7.42/1.94 lhs rhs ge gt 7.42/1.94 / 5A 7A \ / 5A 5A \ True False 7.42/1.94 \ 5A 7A / \ 5A 5A / 7.42/1.94 [5] |-> [3] 7.42/1.94 lhs rhs ge gt 7.42/1.94 / 5A 5A \ / 5A 5A \ True False 7.42/1.94 \ 5A 5A / \ 5A 5A / 7.42/1.94 [3, 1] |-> [5, 0] 7.42/1.94 lhs rhs ge gt 7.42/1.94 / 7A 7A \ / 5A 5A \ True True 7.42/1.94 \ 7A 7A / \ 5A 5A / 7.42/1.94 [0] ->= [] 7.42/1.94 lhs rhs ge gt 7.42/1.94 / 0A 0A \ / 0A - \ True False 7.42/1.94 \ 0A 0A / \ - 0A / 7.42/1.94 [0, 1] ->= [2, 1, 0] 7.42/1.94 lhs rhs ge gt 7.42/1.94 / 2A 2A \ / 2A 2A \ True False 7.42/1.94 \ 2A 2A / \ 2A 2A / 7.42/1.94 [1] ->= [0] 7.42/1.94 lhs rhs ge gt 7.42/1.94 / 2A 2A \ / 0A 0A \ True False 7.42/1.94 \ 0A 0A / \ 0A 0A / 7.42/1.94 [2, 2] ->= [1] 7.42/1.94 lhs rhs ge gt 7.42/1.94 / 2A 4A \ / 2A 2A \ True False 7.42/1.94 \ 2A 4A / \ 0A 0A / 7.42/1.94 property Termination 7.42/1.94 has value True 7.42/1.94 for SRS ( [4, 2] |-> [5], [5] |-> [3], [0] ->= [], [0, 1] ->= [2, 1, 0], [1] ->= [0], [2, 2] ->= [1]) 7.42/1.94 reason 7.42/1.94 weights 7.42/1.94 Map [(4, 2/1), (5, 1/1)] 7.42/1.94 7.42/1.94 property Termination 7.42/1.94 has value True 7.42/1.94 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 0], [1] ->= [0], [2, 2] ->= [1]) 7.42/1.94 reason 7.42/1.94 EDG has 0 SCCs 7.42/1.94 7.42/1.94 ************************************************** 7.42/1.94 summary 7.42/1.94 ************************************************** 7.42/1.94 SRS with 4 rules on 3 letters Remap { tracing = False} 7.42/1.94 SRS with 4 rules on 3 letters DP transform 7.42/1.94 SRS with 9 rules on 6 letters Remap { tracing = False} 7.42/1.94 SRS with 9 rules on 6 letters EDG 7.42/1.94 SRS with 9 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 7.86/2.02 SRS with 8 rules on 6 letters EDG 8.56/2.21 SRS with 8 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 8.56/2.21 SRS with 6 rules on 6 letters weights 8.81/2.25 SRS with 4 rules on 3 letters EDG 8.81/2.25 8.81/2.25 ************************************************** 8.81/2.25 (4, 3)\Deepee(9, 6)\Matrix{\Arctic}{2}(8, 6)\Matrix{\Arctic}{2}(6, 6)\Weight(4, 3)\EDG[] 8.81/2.25 ************************************************** 10.06/2.59 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]} 10.06/2.59 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 10.22/2.64 EOF