7.45/1.97 YES 7.45/1.97 property Termination 7.45/1.97 has value True 7.45/1.97 for SRS ( [a] -> [], [a, b] -> [], [a, c, c] -> [c, c, b, a, c, a]) 7.45/1.97 reason 7.45/1.97 remap for 3 rules 7.45/1.97 property Termination 7.45/1.97 has value True 7.45/1.97 for SRS ( [0] -> [], [0, 1] -> [], [0, 2, 2] -> [2, 2, 1, 0, 2, 0]) 7.45/1.97 reason 7.45/1.97 reverse each lhs and rhs 7.45/1.97 property Termination 7.45/1.97 has value True 7.45/1.97 for SRS ( [0] -> [], [1, 0] -> [], [2, 2, 0] -> [0, 2, 0, 1, 2, 2]) 7.45/1.97 reason 7.45/1.97 DP transform 7.45/1.97 property Termination 7.45/1.97 has value True 7.45/1.97 for SRS ( [0] ->= [], [1, 0] ->= [], [2, 2, 0] ->= [0, 2, 0, 1, 2, 2], [2#, 2, 0] |-> [0#, 2, 0, 1, 2, 2], [2#, 2, 0] |-> [2#, 0, 1, 2, 2], [2#, 2, 0] |-> [0#, 1, 2, 2], [2#, 2, 0] |-> [1#, 2, 2], [2#, 2, 0] |-> [2#, 2], [2#, 2, 0] |-> [2#]) 7.45/1.97 reason 7.45/1.97 remap for 9 rules 7.45/1.97 property Termination 7.45/1.97 has value True 7.45/1.97 for SRS ( [0] ->= [], [1, 0] ->= [], [2, 2, 0] ->= [0, 2, 0, 1, 2, 2], [3, 2, 0] |-> [4, 2, 0, 1, 2, 2], [3, 2, 0] |-> [3, 0, 1, 2, 2], [3, 2, 0] |-> [4, 1, 2, 2], [3, 2, 0] |-> [5, 2, 2], [3, 2, 0] |-> [3, 2], [3, 2, 0] |-> [3]) 7.45/1.97 reason 7.45/1.97 weights 7.45/1.97 Map [(3, 3/1)] 7.45/1.97 7.45/1.97 property Termination 7.45/1.97 has value True 7.45/1.98 for SRS ( [0] ->= [], [1, 0] ->= [], [2, 2, 0] ->= [0, 2, 0, 1, 2, 2], [3, 2, 0] |-> [3, 0, 1, 2, 2], [3, 2, 0] |-> [3, 2], [3, 2, 0] |-> [3]) 7.45/1.98 reason 7.45/1.98 EDG has 1 SCCs 7.45/1.98 property Termination 7.45/1.98 has value True 7.45/1.98 for SRS ( [3, 2, 0] |-> [3, 0, 1, 2, 2], [3, 2, 0] |-> [3], [3, 2, 0] |-> [3, 2], [0] ->= [], [1, 0] ->= [], [2, 2, 0] ->= [0, 2, 0, 1, 2, 2]) 7.45/1.98 reason 7.77/1.99 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 7.77/1.99 interpretation 7.77/1.99 0 / 0A 3A 3A \ 7.77/1.99 | 0A 3A 3A | 7.77/1.99 \ -3A 0A 0A / 7.77/1.99 1 / 0A 0A 0A \ 7.77/1.99 | -3A -3A -3A | 7.77/1.99 \ -3A -3A -3A / 7.77/1.99 2 / 0A 0A 3A \ 7.77/1.99 | 0A 0A 3A | 7.77/1.99 \ -3A 0A 0A / 7.77/1.99 3 / 31A 31A 33A \ 7.77/1.99 | 31A 31A 33A | 7.77/1.99 \ 31A 31A 33A / 7.77/1.99 [3, 2, 0] |-> [3, 0, 1, 2, 2] 7.77/1.99 lhs rhs ge gt 7.77/1.99 / 33A 36A 36A \ / 31A 34A 34A \ True True 7.77/1.99 | 33A 36A 36A | | 31A 34A 34A | 7.77/1.99 \ 33A 36A 36A / \ 31A 34A 34A / 7.77/1.99 [3, 2, 0] |-> [3] 7.77/1.99 lhs rhs ge gt 7.77/1.99 / 33A 36A 36A \ / 31A 31A 33A \ True True 7.77/1.99 | 33A 36A 36A | | 31A 31A 33A | 7.77/1.99 \ 33A 36A 36A / \ 31A 31A 33A / 7.77/1.99 [3, 2, 0] |-> [3, 2] 7.77/1.99 lhs rhs ge gt 7.77/1.99 / 33A 36A 36A \ / 31A 33A 34A \ True True 7.77/1.99 | 33A 36A 36A | | 31A 33A 34A | 7.77/1.99 \ 33A 36A 36A / \ 31A 33A 34A / 7.77/1.99 [0] ->= [] 7.77/1.99 lhs rhs ge gt 7.77/1.99 / 0A 3A 3A \ / 0A - - \ True False 7.77/1.99 | 0A 3A 3A | | - 0A - | 7.77/1.99 \ -3A 0A 0A / \ - - 0A / 7.77/1.99 [1, 0] ->= [] 7.77/1.99 lhs rhs ge gt 7.77/1.99 / 0A 3A 3A \ / 0A - - \ True False 7.77/1.99 | -3A 0A 0A | | - 0A - | 7.77/1.99 \ -3A 0A 0A / \ - - 0A / 7.77/1.99 [2, 2, 0] ->= [0, 2, 0, 1, 2, 2] 7.77/1.99 lhs rhs ge gt 7.77/1.99 / 3A 6A 6A \ / 3A 6A 6A \ True False 7.77/1.99 | 3A 6A 6A | | 3A 6A 6A | 7.77/1.99 \ 0A 3A 3A / \ 0A 3A 3A / 7.77/1.99 property Termination 7.77/1.99 has value True 7.77/1.99 for SRS ( [0] ->= [], [1, 0] ->= [], [2, 2, 0] ->= [0, 2, 0, 1, 2, 2]) 7.77/1.99 reason 7.77/1.99 EDG has 0 SCCs 7.77/1.99 7.77/1.99 ************************************************** 7.77/1.99 summary 7.77/1.99 ************************************************** 7.77/2.00 SRS with 3 rules on 3 letters Remap { tracing = False} 7.77/2.00 SRS with 3 rules on 3 letters reverse each lhs and rhs 7.77/2.00 SRS with 3 rules on 3 letters DP transform 7.77/2.00 SRS with 9 rules on 6 letters Remap { tracing = False} 7.77/2.02 SRS with 9 rules on 6 letters weights 7.77/2.03 SRS with 6 rules on 4 letters EDG 7.77/2.04 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 7.77/2.06 SRS with 3 rules on 3 letters EDG 7.77/2.06 7.77/2.06 ************************************************** 7.77/2.07 (3, 3)\Deepee(9, 6)\Weight(6, 4)\Matrix{\Arctic}{3}(3, 3)\EDG[] 7.77/2.07 ************************************************** 9.81/2.58 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]} 9.81/2.58 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 10.12/2.62 EOF