105.34/26.67 YES 105.34/26.67 property Termination 105.34/26.67 has value True 105.34/26.67 for SRS ( [a, a, b, b] -> [a, b, a, a], [a] -> [b, b, b]) 105.34/26.67 reason 105.34/26.67 remap for 2 rules 105.34/26.67 property Termination 105.34/26.67 has value True 105.34/26.67 for SRS ( [0, 0, 1, 1] -> [0, 1, 0, 0], [0] -> [1, 1, 1]) 105.34/26.67 reason 105.34/26.67 reverse each lhs and rhs 105.34/26.67 property Termination 105.34/26.67 has value True 105.34/26.67 for SRS ( [1, 1, 0, 0] -> [0, 0, 1, 0], [0] -> [1, 1, 1]) 105.34/26.67 reason 105.34/26.67 DP transform 105.34/26.67 property Termination 105.34/26.67 has value True 105.34/26.67 for SRS ( [1, 1, 0, 0] ->= [0, 0, 1, 0], [0] ->= [1, 1, 1], [1#, 1, 0, 0] |-> [0#, 0, 1, 0], [1#, 1, 0, 0] |-> [0#, 1, 0], [1#, 1, 0, 0] |-> [1#, 0], [0#] |-> [1#, 1, 1], [0#] |-> [1#, 1], [0#] |-> [1#]) 105.34/26.67 reason 105.34/26.67 remap for 8 rules 105.34/26.67 property Termination 105.34/26.67 has value True 105.34/26.67 for SRS ( [0, 0, 1, 1] ->= [1, 1, 0, 1], [1] ->= [0, 0, 0], [2, 0, 1, 1] |-> [3, 1, 0, 1], [2, 0, 1, 1] |-> [3, 0, 1], [2, 0, 1, 1] |-> [2, 1], [3] |-> [2, 0, 0], [3] |-> [2, 0], [3] |-> [2]) 105.34/26.67 reason 105.34/26.67 EDG has 1 SCCs 105.34/26.67 property Termination 105.34/26.67 has value True 105.34/26.67 for SRS ( [2, 0, 1, 1] |-> [3, 1, 0, 1], [3] |-> [2], [2, 0, 1, 1] |-> [2, 1], [2, 0, 1, 1] |-> [3, 0, 1], [3] |-> [2, 0], [3] |-> [2, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 1], [1] ->= [0, 0, 0]) 105.34/26.67 reason 105.34/26.67 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 105.34/26.67 interpretation 105.34/26.67 0 Wk / - 0A - 1A \ 105.34/26.67 | - - 0A - | 105.34/26.67 | - 0A - - | 105.34/26.67 \ - - - 0A / 105.34/26.67 1 Wk / - 0A 1A 3A \ 105.34/26.67 | 0A 1A 0A 3A | 105.34/26.67 | - 0A - 2A | 105.34/26.67 \ - - - 0A / 105.34/26.67 2 Wk / 0A - 3A 6A \ 105.34/26.67 | 3A 3A 3A 5A | 105.34/26.67 | 0A 0A - - | 105.34/26.67 \ - - - 0A / 105.34/26.67 3 Wk / 2A 4A 3A 6A \ 105.34/26.67 | 3A 3A 3A 5A | 105.34/26.67 | 0A 0A 0A 1A | 105.34/26.67 \ - - - 0A / 105.34/26.67 [2, 0, 1, 1] |-> [3, 1, 0, 1] 105.34/26.67 lhs rhs ge gt 105.34/26.67 Wk / 4A 5A 4A 7A \ Wk / 4A 5A 4A 7A \ True False 105.34/26.67 | 4A 5A 4A 7A | | 4A 5A 4A 7A | 105.34/26.67 | 1A 2A 1A 4A | | 1A 2A 1A 4A | 105.34/26.67 \ - - - 0A / \ - - - 0A / 105.34/26.67 [3] |-> [2] 105.34/26.67 lhs rhs ge gt 105.34/26.67 Wk / 2A 4A 3A 6A \ Wk / 0A - 3A 6A \ True False 105.34/26.67 | 3A 3A 3A 5A | | 3A 3A 3A 5A | 105.34/26.67 | 0A 0A 0A 1A | | 0A 0A - - | 105.34/26.67 \ - - - 0A / \ - - - 0A / 105.34/26.67 [2, 0, 1, 1] |-> [2, 1] 105.34/26.67 lhs rhs ge gt 105.34/26.67 Wk / 4A 5A 4A 7A \ Wk / - 3A 1A 6A \ True False 105.34/26.67 | 4A 5A 4A 7A | | 3A 4A 4A 6A | 105.34/26.67 | 1A 2A 1A 4A | | 0A 1A 1A 3A | 105.34/26.67 \ - - - 0A / \ - - - 0A / 105.34/26.67 [2, 0, 1, 1] |-> [3, 0, 1] 105.34/26.68 lhs rhs ge gt 105.34/26.68 Wk / 4A 5A 4A 7A \ Wk / 3A 4A 3A 6A \ True True 105.34/26.68 | 4A 5A 4A 7A | | 3A 4A 3A 6A | 105.34/26.68 | 1A 2A 1A 4A | | 0A 1A 0A 3A | 105.34/26.68 \ - - - 0A / \ - - - 0A / 105.34/26.68 [3] |-> [2, 0] 105.34/26.68 lhs rhs ge gt 105.34/26.68 Wk / 2A 4A 3A 6A \ Wk / - 3A - 6A \ True False 105.34/26.68 | 3A 3A 3A 5A | | - 3A 3A 5A | 105.34/26.68 | 0A 0A 0A 1A | | - 0A 0A 1A | 105.34/26.68 \ - - - 0A / \ - - - 0A / 105.34/26.68 [3] |-> [2, 0, 0] 105.34/26.68 lhs rhs ge gt 105.34/26.68 Wk / 2A 4A 3A 6A \ Wk / - - 3A 6A \ True False 105.34/26.68 | 3A 3A 3A 5A | | - 3A 3A 5A | 105.34/26.68 | 0A 0A 0A 1A | | - 0A 0A 1A | 105.34/26.68 \ - - - 0A / \ - - - 0A / 105.34/26.68 [0, 0, 1, 1] ->= [1, 1, 0, 1] 105.34/26.68 lhs rhs ge gt 105.34/26.68 Wk / 0A 1A 0A 3A \ Wk / 0A 1A 0A 3A \ True False 105.34/26.68 | 1A 2A 1A 4A | | 1A 2A 1A 4A | 105.34/26.68 | 0A 1A 0A 3A | | 0A 1A 0A 3A | 105.34/26.68 \ - - - 0A / \ - - - 0A / 105.34/26.68 [1] ->= [0, 0, 0] 105.34/26.68 lhs rhs ge gt 105.34/26.68 Wk / - 0A 1A 3A \ Wk / - 0A - 1A \ True False 105.34/26.68 | 0A 1A 0A 3A | | - - 0A - | 105.34/26.68 | - 0A - 2A | | - 0A - - | 105.34/26.68 \ - - - 0A / \ - - - 0A / 105.34/26.68 property Termination 105.34/26.68 has value True 105.34/26.68 for SRS ( [2, 0, 1, 1] |-> [3, 1, 0, 1], [3] |-> [2], [2, 0, 1, 1] |-> [2, 1], [3] |-> [2, 0], [3] |-> [2, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 1], [1] ->= [0, 0, 0]) 105.34/26.68 reason 105.34/26.68 EDG has 1 SCCs 105.34/26.68 property Termination 105.34/26.68 has value True 105.34/26.68 for SRS ( [2, 0, 1, 1] |-> [3, 1, 0, 1], [3] |-> [2, 0, 0], [2, 0, 1, 1] |-> [2, 1], [3] |-> [2, 0], [3] |-> [2], [0, 0, 1, 1] ->= [1, 1, 0, 1], [1] ->= [0, 0, 0]) 105.34/26.68 reason 105.34/26.68 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 105.34/26.68 interpretation 105.34/26.68 0 Wk / - - 0A 0A \ 105.34/26.68 | 0A - 2A - | 105.34/26.68 | 0A - - - | 105.34/26.68 \ - - - 0A / 105.34/26.68 1 Wk / 2A 0A 0A 3A \ 105.34/26.68 | 0A 2A 2A 4A | 105.34/26.68 | 0A - - 1A | 105.34/26.68 \ - - - 0A / 105.34/26.68 2 Wk / - - 0A 2A \ 105.34/26.68 | 2A - 1A 2A | 105.34/26.68 | 3A - - - | 105.34/26.68 \ - - - 0A / 105.34/26.68 3 Wk / 2A - 4A 5A \ 105.34/26.68 | 2A 0A 4A 5A | 105.34/26.68 | 3A - 4A 5A | 105.34/26.68 \ - - - 0A / 105.34/26.68 [2, 0, 1, 1] |-> [3, 1, 0, 1] 105.34/26.68 lhs rhs ge gt 105.34/26.68 Wk / 4A 2A 2A 5A \ Wk / 4A 2A 2A 5A \ True False 105.34/26.68 | 5A 3A 3A 6A | | 4A 2A 2A 5A | 105.34/26.68 | 5A 3A 3A 6A | | 5A 3A 3A 6A | 105.34/26.68 \ - - - 0A / \ - - - 0A / 105.34/26.68 [3] |-> [2, 0, 0] 105.34/26.68 lhs rhs ge gt 105.34/26.68 Wk / 2A - 4A 5A \ Wk / - - 0A 2A \ True False 105.34/26.68 | 2A 0A 4A 5A | | 2A - 1A 2A | 105.34/26.68 | 3A - 4A 5A | | 3A - - 3A | 105.34/26.68 \ - - - 0A / \ - - - 0A / 105.34/26.68 [2, 0, 1, 1] |-> [2, 1] 105.34/26.68 lhs rhs ge gt 105.34/26.68 Wk / 4A 2A 2A 5A \ Wk / 0A - - 2A \ True False 105.34/26.68 | 5A 3A 3A 6A | | 4A 2A 2A 5A | 105.34/26.68 | 5A 3A 3A 6A | | 5A 3A 3A 6A | 105.34/26.68 \ - - - 0A / \ - - - 0A / 105.34/26.68 [3] |-> [2, 0] 105.34/26.68 lhs rhs ge gt 105.34/26.68 Wk / 2A - 4A 5A \ Wk / 0A - - 2A \ True True 105.34/26.68 | 2A 0A 4A 5A | | 1A - 2A 2A | 105.34/26.68 | 3A - 4A 5A | | - - 3A 3A | 105.34/26.68 \ - - - 0A / \ - - - 0A / 105.34/26.68 [3] |-> [2] 105.68/26.69 lhs rhs ge gt 105.68/26.69 Wk / 2A - 4A 5A \ Wk / - - 0A 2A \ True False 105.68/26.69 | 2A 0A 4A 5A | | 2A - 1A 2A | 105.68/26.69 | 3A - 4A 5A | | 3A - - - | 105.68/26.69 \ - - - 0A / \ - - - 0A / 105.68/26.69 [0, 0, 1, 1] ->= [1, 1, 0, 1] 105.68/26.69 lhs rhs ge gt 105.68/26.69 Wk / 4A 2A 2A 5A \ Wk / 4A 2A 2A 5A \ True False 105.68/26.69 | 6A 4A 4A 7A | | 6A 4A 4A 7A | 105.68/26.69 | 2A 0A 0A 3A | | 2A 0A 0A 3A | 105.68/26.69 \ - - - 0A / \ - - - 0A / 105.68/26.69 [1] ->= [0, 0, 0] 105.68/26.69 lhs rhs ge gt 105.68/26.69 Wk / 2A 0A 0A 3A \ Wk / - - 0A 0A \ True False 105.68/26.69 | 0A 2A 2A 4A | | 0A - 2A 2A | 105.68/26.69 | 0A - - 1A | | 0A - - 0A | 105.68/26.69 \ - - - 0A / \ - - - 0A / 105.68/26.69 property Termination 105.68/26.69 has value True 105.68/26.69 for SRS ( [2, 0, 1, 1] |-> [3, 1, 0, 1], [3] |-> [2, 0, 0], [2, 0, 1, 1] |-> [2, 1], [3] |-> [2], [0, 0, 1, 1] ->= [1, 1, 0, 1], [1] ->= [0, 0, 0]) 105.68/26.69 reason 105.68/26.69 EDG has 1 SCCs 105.68/26.69 property Termination 105.68/26.69 has value True 105.68/26.69 for SRS ( [2, 0, 1, 1] |-> [3, 1, 0, 1], [3] |-> [2], [2, 0, 1, 1] |-> [2, 1], [3] |-> [2, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 1], [1] ->= [0, 0, 0]) 105.68/26.69 reason 105.68/26.69 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 105.68/26.69 interpretation 105.68/26.69 0 Wk / 0A - - 1A \ 105.68/26.69 | - - 0A - | 105.68/26.69 | - 0A - - | 105.68/26.69 \ - - - 0A / 105.68/26.69 1 Wk / 0A - - 1A \ 105.68/26.69 | 0A - 0A 1A | 105.68/26.69 | 1A 0A 1A 3A | 105.68/26.69 \ - - - 0A / 105.68/26.69 2 Wk / - 1A 0A 4A \ 105.68/26.69 | - - - - | 105.68/26.69 | - - - - | 105.68/26.69 \ - - - 0A / 105.68/26.69 3 Wk / 0A 2A 0A 4A \ 105.68/26.69 | - - - - | 105.68/26.69 | - - - - | 105.68/26.69 \ - - - 0A / 105.68/26.69 [2, 0, 1, 1] |-> [3, 1, 0, 1] 105.68/26.69 lhs rhs ge gt 105.68/26.69 Wk / 3A 2A 3A 5A \ Wk / 2A 0A 2A 4A \ True True 105.68/26.69 | - - - - | | - - - - | 105.68/26.69 | - - - - | | - - - - | 105.68/26.69 \ - - - 0A / \ - - - 0A / 105.68/26.69 [3] |-> [2] 105.68/26.69 lhs rhs ge gt 105.68/26.69 Wk / 0A 2A 0A 4A \ Wk / - 1A 0A 4A \ True False 105.68/26.69 | - - - - | | - - - - | 105.68/26.69 | - - - - | | - - - - | 105.68/26.69 \ - - - 0A / \ - - - 0A / 105.68/26.69 [2, 0, 1, 1] |-> [2, 1] 105.68/26.69 lhs rhs ge gt 105.68/26.69 Wk / 3A 2A 3A 5A \ Wk / 1A 0A 1A 4A \ True True 105.68/26.69 | - - - - | | - - - - | 105.68/26.69 | - - - - | | - - - - | 105.68/26.69 \ - - - 0A / \ - - - 0A / 105.68/26.69 [3] |-> [2, 0, 0] 105.68/26.69 lhs rhs ge gt 105.68/26.69 Wk / 0A 2A 0A 4A \ Wk / - 1A 0A 4A \ True False 105.68/26.69 | - - - - | | - - - - | 105.68/26.69 | - - - - | | - - - - | 105.68/26.69 \ - - - 0A / \ - - - 0A / 105.68/26.69 [0, 0, 1, 1] ->= [1, 1, 0, 1] 105.68/26.69 lhs rhs ge gt 105.68/26.69 Wk / 0A - - 1A \ Wk / 0A - - 1A \ True False 105.68/26.69 | 1A 0A 1A 3A | | 1A 0A 1A 3A | 105.68/26.69 | 2A 1A 2A 4A | | 2A 1A 2A 4A | 105.68/26.69 \ - - - 0A / \ - - - 0A / 105.68/26.69 [1] ->= [0, 0, 0] 105.68/26.69 lhs rhs ge gt 105.68/26.69 Wk / 0A - - 1A \ Wk / 0A - - 1A \ True False 105.68/26.69 | 0A - 0A 1A | | - - 0A - | 105.68/26.69 | 1A 0A 1A 3A | | - 0A - - | 105.68/26.69 \ - - - 0A / \ - - - 0A / 105.68/26.69 property Termination 105.68/26.69 has value True 105.68/26.69 for SRS ( [3] |-> [2], [3] |-> [2, 0, 0], [0, 0, 1, 1] ->= [1, 1, 0, 1], [1] ->= [0, 0, 0]) 105.68/26.69 reason 105.68/26.69 weights 105.68/26.69 Map [(3, 2/1)] 105.68/26.69 105.68/26.69 property Termination 105.68/26.69 has value True 105.68/26.69 for SRS ( [0, 0, 1, 1] ->= [1, 1, 0, 1], [1] ->= [0, 0, 0]) 105.68/26.69 reason 105.68/26.69 EDG has 0 SCCs 105.68/26.69 105.68/26.69 ************************************************** 105.68/26.69 summary 105.68/26.69 ************************************************** 105.68/26.69 SRS with 2 rules on 2 letters Remap { tracing = False} 105.68/26.69 SRS with 2 rules on 2 letters reverse each lhs and rhs 105.68/26.69 SRS with 2 rules on 2 letters DP transform 105.68/26.69 SRS with 8 rules on 4 letters Remap { tracing = False} 105.68/26.69 SRS with 8 rules on 4 letters EDG 105.68/26.69 SRS with 8 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 105.68/26.69 SRS with 7 rules on 4 letters EDG 105.68/26.69 SRS with 7 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 105.68/26.69 SRS with 6 rules on 4 letters EDG 105.68/26.69 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 105.68/26.70 SRS with 4 rules on 4 letters weights 105.68/26.70 SRS with 2 rules on 2 letters EDG 105.68/26.70 105.68/26.70 ************************************************** 105.68/26.70 (2, 2)\Deepee(8, 4)\Matrix{\Arctic}{4}(7, 4)\Matrix{\Arctic}{4}(6, 4)\Matrix{\Arctic}{4}(4, 4)\Weight(2, 2)\EDG[] 105.68/26.70 ************************************************** 105.79/26.72 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]} 105.79/26.72 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 105.90/26.85 EOF