33.30/8.48 YES 33.30/8.48 property Termination 33.30/8.48 has value True 33.30/8.48 for SRS ( [a, b, a] -> [b, a], [b, b, b] -> [b, a, b], [a, a] -> [b, b, b]) 33.30/8.48 reason 33.30/8.48 remap for 3 rules 33.30/8.48 property Termination 33.30/8.48 has value True 33.30/8.48 for SRS ( [0, 1, 0] -> [1, 0], [1, 1, 1] -> [1, 0, 1], [0, 0] -> [1, 1, 1]) 33.30/8.48 reason 33.30/8.48 DP transform 33.30/8.48 property Termination 33.30/8.48 has value True 33.30/8.48 for SRS ( [0, 1, 0] ->= [1, 0], [1, 1, 1] ->= [1, 0, 1], [0, 0] ->= [1, 1, 1], [1#, 1, 1] |-> [1#, 0, 1], [1#, 1, 1] |-> [0#, 1], [0#, 0] |-> [1#, 1, 1], [0#, 0] |-> [1#, 1], [0#, 0] |-> [1#]) 33.30/8.48 reason 33.30/8.48 remap for 8 rules 33.30/8.48 property Termination 33.30/8.48 has value True 33.30/8.48 for SRS ( [0, 1, 0] ->= [1, 0], [1, 1, 1] ->= [1, 0, 1], [0, 0] ->= [1, 1, 1], [2, 1, 1] |-> [2, 0, 1], [2, 1, 1] |-> [3, 1], [3, 0] |-> [2, 1, 1], [3, 0] |-> [2, 1], [3, 0] |-> [2]) 33.30/8.48 reason 33.30/8.49 EDG has 1 SCCs 33.30/8.49 property Termination 33.30/8.49 has value True 33.30/8.49 for SRS ( [2, 1, 1] |-> [2, 0, 1], [2, 1, 1] |-> [3, 1], [3, 0] |-> [2], [3, 0] |-> [2, 1], [3, 0] |-> [2, 1, 1], [0, 1, 0] ->= [1, 0], [1, 1, 1] ->= [1, 0, 1], [0, 0] ->= [1, 1, 1]) 33.30/8.49 reason 33.30/8.49 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 33.30/8.49 interpretation 33.30/8.49 0 / 0A 2A \ 33.30/8.49 \ 0A 0A / 33.30/8.49 1 / 0A 0A \ 33.30/8.49 \ -2A -2A / 33.30/8.49 2 / 16A 16A \ 33.30/8.49 \ 16A 16A / 33.30/8.49 3 / 14A 16A \ 33.30/8.49 \ 14A 16A / 33.30/8.49 [2, 1, 1] |-> [2, 0, 1] 33.30/8.49 lhs rhs ge gt 33.30/8.49 / 16A 16A \ / 16A 16A \ True False 33.30/8.49 \ 16A 16A / \ 16A 16A / 33.30/8.49 [2, 1, 1] |-> [3, 1] 33.30/8.49 lhs rhs ge gt 33.30/8.49 / 16A 16A \ / 14A 14A \ True True 33.30/8.49 \ 16A 16A / \ 14A 14A / 33.30/8.49 [3, 0] |-> [2] 33.30/8.49 lhs rhs ge gt 33.30/8.49 / 16A 16A \ / 16A 16A \ True False 33.30/8.49 \ 16A 16A / \ 16A 16A / 33.30/8.49 [3, 0] |-> [2, 1] 33.30/8.49 lhs rhs ge gt 33.30/8.49 / 16A 16A \ / 16A 16A \ True False 33.30/8.49 \ 16A 16A / \ 16A 16A / 33.30/8.49 [3, 0] |-> [2, 1, 1] 33.30/8.49 lhs rhs ge gt 33.30/8.49 / 16A 16A \ / 16A 16A \ True False 33.30/8.49 \ 16A 16A / \ 16A 16A / 33.30/8.49 [0, 1, 0] ->= [1, 0] 33.30/8.49 lhs rhs ge gt 33.30/8.49 / 0A 2A \ / 0A 2A \ True False 33.30/8.49 \ 0A 2A / \ -2A 0A / 33.30/8.49 [1, 1, 1] ->= [1, 0, 1] 33.30/8.49 lhs rhs ge gt 33.30/8.49 / 0A 0A \ / 0A 0A \ True False 33.30/8.49 \ -2A -2A / \ -2A -2A / 33.30/8.49 [0, 0] ->= [1, 1, 1] 33.30/8.49 lhs rhs ge gt 33.30/8.49 / 2A 2A \ / 0A 0A \ True True 33.30/8.49 \ 0A 2A / \ -2A -2A / 33.30/8.49 property Termination 33.30/8.49 has value True 33.30/8.49 for SRS ( [2, 1, 1] |-> [2, 0, 1], [3, 0] |-> [2], [3, 0] |-> [2, 1], [3, 0] |-> [2, 1, 1], [0, 1, 0] ->= [1, 0], [1, 1, 1] ->= [1, 0, 1], [0, 0] ->= [1, 1, 1]) 33.30/8.49 reason 33.30/8.49 weights 33.30/8.49 Map [(3, 3/1)] 33.30/8.49 33.30/8.49 property Termination 33.30/8.49 has value True 33.30/8.49 for SRS ( [2, 1, 1] |-> [2, 0, 1], [0, 1, 0] ->= [1, 0], [1, 1, 1] ->= [1, 0, 1], [0, 0] ->= [1, 1, 1]) 33.30/8.49 reason 33.30/8.49 EDG has 1 SCCs 33.30/8.49 property Termination 33.30/8.49 has value True 33.30/8.49 for SRS ( [2, 1, 1] |-> [2, 0, 1], [0, 1, 0] ->= [1, 0], [1, 1, 1] ->= [1, 0, 1], [0, 0] ->= [1, 1, 1]) 33.30/8.49 reason 33.30/8.49 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 33.30/8.49 interpretation 33.30/8.50 0 Wk / - 7A 6A 4A \ 33.30/8.50 | 0A 3A - 0A | 33.30/8.50 | 0A 0A 0A - | 33.30/8.50 \ - - - 0A / 33.30/8.50 1 Wk / - - - 0A \ 33.30/8.50 | - - 1A - | 33.30/8.50 | - 1A 2A 0A | 33.30/8.50 \ - - - 0A / 33.30/8.50 2 Wk / - 0A 3A 0A \ 33.30/8.50 | - - - - | 33.30/8.50 | - - - - | 33.30/8.50 \ - - - 0A / 33.30/8.50 [2, 1, 1] |-> [2, 0, 1] 33.30/8.51 lhs rhs ge gt 33.30/8.51 Wk / - 6A 7A 5A \ Wk / - 4A 5A 3A \ True True 33.30/8.51 | - - - - | | - - - - | 33.30/8.51 | - - - - | | - - - - | 33.30/8.51 \ - - - 0A / \ - - - 0A / 33.30/8.51 [0, 1, 0] ->= [1, 0] 33.30/8.51 lhs rhs ge gt 33.30/8.51 Wk / 8A 10A 8A 7A \ Wk / - - - 0A \ True False 33.30/8.51 | 4A 4A 4A 0A | | 1A 1A 1A - | 33.30/8.51 | 2A 4A 2A 1A | | 2A 4A 2A 1A | 33.30/8.51 \ - - - 0A / \ - - - 0A / 33.30/8.51 [1, 1, 1] ->= [1, 0, 1] 33.30/8.51 lhs rhs ge gt 33.30/8.51 Wk / - - - 0A \ Wk / - - - 0A \ True False 33.30/8.51 | - 4A 5A 3A | | - 2A 3A 1A | 33.30/8.51 | - 5A 6A 4A | | - 3A 5A 2A | 33.30/8.51 \ - - - 0A / \ - - - 0A / 33.30/8.51 [0, 0] ->= [1, 1, 1] 33.30/8.51 lhs rhs ge gt 33.30/8.51 Wk / 7A 10A 6A 7A \ Wk / - - - 0A \ True False 33.30/8.51 | 3A 7A 6A 4A | | - 4A 5A 3A | 33.30/8.51 | 0A 7A 6A 4A | | - 5A 6A 4A | 33.30/8.51 \ - - - 0A / \ - - - 0A / 33.30/8.51 property Termination 33.30/8.51 has value True 33.30/8.51 for SRS ( [0, 1, 0] ->= [1, 0], [1, 1, 1] ->= [1, 0, 1], [0, 0] ->= [1, 1, 1]) 33.30/8.51 reason 33.30/8.51 EDG has 0 SCCs 33.30/8.51 33.30/8.51 ************************************************** 33.30/8.51 summary 33.30/8.51 ************************************************** 33.30/8.51 SRS with 3 rules on 2 letters Remap { tracing = False} 33.30/8.51 SRS with 3 rules on 2 letters DP transform 33.30/8.51 SRS with 8 rules on 4 letters Remap { tracing = False} 33.30/8.51 SRS with 8 rules on 4 letters EDG 33.30/8.51 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 33.30/8.51 SRS with 7 rules on 4 letters weights 33.30/8.51 SRS with 4 rules on 3 letters EDG 33.30/8.51 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 33.30/8.51 SRS with 3 rules on 2 letters EDG 33.30/8.51 33.30/8.51 ************************************************** 33.30/8.51 (3, 2)\Deepee(8, 4)\Matrix{\Arctic}{2}(7, 4)\Weight(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 33.30/8.51 ************************************************** 33.70/8.55 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]} 33.70/8.55 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 33.88/8.64 EOF