108.96/27.51 YES 108.96/27.51 property Termination 108.96/27.51 has value True 108.96/27.52 for SRS ( [a, a] -> [], [a, b, b, b] -> [b, b, b, a, b, a]) 108.96/27.52 reason 108.96/27.52 remap for 2 rules 108.96/27.52 property Termination 108.96/27.52 has value True 108.96/27.52 for SRS ( [0, 0] -> [], [0, 1, 1, 1] -> [1, 1, 1, 0, 1, 0]) 108.96/27.52 reason 108.96/27.52 DP transform 108.96/27.52 property Termination 108.96/27.52 has value True 108.96/27.52 for SRS ( [0, 0] ->= [], [0, 1, 1, 1] ->= [1, 1, 1, 0, 1, 0], [0#, 1, 1, 1] |-> [0#, 1, 0], [0#, 1, 1, 1] |-> [0#]) 108.96/27.52 reason 108.96/27.52 remap for 4 rules 108.96/27.52 property Termination 108.96/27.52 has value True 108.96/27.52 for SRS ( [0, 0] ->= [], [0, 1, 1, 1] ->= [1, 1, 1, 0, 1, 0], [2, 1, 1, 1] |-> [2, 1, 0], [2, 1, 1, 1] |-> [2]) 108.96/27.52 reason 108.96/27.52 EDG has 1 SCCs 108.96/27.52 property Termination 108.96/27.52 has value True 108.96/27.52 for SRS ( [2, 1, 1, 1] |-> [2, 1, 0], [2, 1, 1, 1] |-> [2], [0, 0] ->= [], [0, 1, 1, 1] ->= [1, 1, 1, 0, 1, 0]) 108.96/27.52 reason 108.96/27.52 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 108.96/27.52 interpretation 108.96/27.52 0 Wk / - 0A - 0A \ 108.96/27.52 | 0A 3A 0A 3A | 108.96/27.52 | - 0A - - | 108.96/27.52 \ - - - 0A / 108.96/27.52 1 Wk / - 0A - 0A \ 108.96/27.52 | 0A - 0A - | 108.96/27.52 | 3A 0A - - | 108.96/27.52 \ - - - 0A / 108.96/27.52 2 Wk / - 4A 4A 3A \ 108.96/27.52 | - - - - | 108.96/27.52 | - - - - | 108.96/27.52 \ - - - 0A / 108.96/27.52 [2, 1, 1, 1] |-> [2, 1, 0] 108.96/27.54 lhs rhs ge gt 108.96/27.55 Wk / 7A 7A 7A 7A \ Wk / 4A 7A 4A 7A \ True False 108.96/27.55 | - - - - | | - - - - | 108.96/27.55 | - - - - | | - - - - | 108.96/27.55 \ - - - 0A / \ - - - 0A / 108.96/27.55 [2, 1, 1, 1] |-> [2] 108.96/27.55 lhs rhs ge gt 108.96/27.55 Wk / 7A 7A 7A 7A \ Wk / - 4A 4A 3A \ True True 108.96/27.55 | - - - - | | - - - - | 108.96/27.55 | - - - - | | - - - - | 108.96/27.55 \ - - - 0A / \ - - - 0A / 108.96/27.55 [0, 0] ->= [] 108.96/27.55 lhs rhs ge gt 108.96/27.55 Wk / 0A 3A 0A 3A \ Wk / 0A - - - \ True False 108.96/27.55 | 3A 6A 3A 6A | | - 0A - - | 108.96/27.55 | 0A 3A 0A 3A | | - - 0A - | 108.96/27.55 \ - - - 0A / \ - - - 0A / 108.96/27.55 [0, 1, 1, 1] ->= [1, 1, 1, 0, 1, 0] 108.96/27.56 lhs rhs ge gt 108.96/27.56 Wk / 0A 3A 0A 3A \ Wk / 0A 3A 0A 3A \ True False 108.96/27.56 | 3A 6A 3A 6A | | 3A 6A 3A 6A | 108.96/27.56 | 0A 3A 0A 3A | | 0A 3A 0A 3A | 108.96/27.56 \ - - - 0A / \ - - - 0A / 108.96/27.56 property Termination 108.96/27.56 has value True 109.24/27.57 for SRS ( [2, 1, 1, 1] |-> [2, 1, 0], [0, 0] ->= [], [0, 1, 1, 1] ->= [1, 1, 1, 0, 1, 0]) 109.24/27.57 reason 109.24/27.57 EDG has 1 SCCs 109.24/27.57 property Termination 109.24/27.57 has value True 109.24/27.57 for SRS ( [2, 1, 1, 1] |-> [2, 1, 0], [0, 0] ->= [], [0, 1, 1, 1] ->= [1, 1, 1, 0, 1, 0]) 109.24/27.57 reason 109.24/27.57 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 109.24/27.57 interpretation 109.24/27.58 0 Wk / - 0A - 1A \ 109.24/27.58 | 0A 2A 0A - | 109.24/27.58 | - 0A - - | 109.24/27.58 \ - - - 0A / 109.24/27.58 1 Wk / - 0A 2A 4A \ 109.24/27.58 | 0A - 0A - | 109.24/27.58 | - 0A - 0A | 109.24/27.58 \ - - - 0A / 109.24/27.58 2 Wk / 0A 2A 0A 5A \ 109.24/27.58 | - - - - | 109.24/27.58 | - - - - | 109.24/27.58 \ - - - 0A / 109.24/27.58 [2, 1, 1, 1] |-> [2, 1, 0] 109.24/27.58 lhs rhs ge gt 109.24/27.58 Wk / 2A 4A 2A 6A \ Wk / 0A 2A 0A 5A \ True True 109.24/27.58 | - - - - | | - - - - | 109.24/27.58 | - - - - | | - - - - | 109.24/27.58 \ - - - 0A / \ - - - 0A / 109.24/27.58 [0, 0] ->= [] 109.29/27.59 lhs rhs ge gt 109.29/27.59 Wk / 0A 2A 0A 1A \ Wk / 0A - - - \ True False 109.29/27.59 | 2A 4A 2A 1A | | - 0A - - | 109.29/27.59 | 0A 2A 0A - | | - - 0A - | 109.29/27.59 \ - - - 0A / \ - - - 0A / 109.29/27.59 [0, 1, 1, 1] ->= [1, 1, 1, 0, 1, 0] 109.29/27.59 lhs rhs ge gt 109.29/27.59 Wk / 0A 2A 0A 4A \ Wk / 0A 2A 0A 4A \ True False 109.29/27.59 | 2A 4A 2A 6A | | 2A 4A 2A 6A | 109.29/27.59 | 0A 2A 0A 4A | | 0A 2A 0A 4A | 109.29/27.59 \ - - - 0A / \ - - - 0A / 109.29/27.59 property Termination 109.29/27.59 has value True 109.29/27.59 for SRS ( [0, 0] ->= [], [0, 1, 1, 1] ->= [1, 1, 1, 0, 1, 0]) 109.29/27.59 reason 109.29/27.59 EDG has 0 SCCs 109.29/27.59 109.29/27.59 ************************************************** 109.29/27.59 summary 109.29/27.59 ************************************************** 109.29/27.59 SRS with 2 rules on 2 letters Remap { tracing = False} 109.29/27.59 SRS with 2 rules on 2 letters DP transform 109.29/27.59 SRS with 4 rules on 3 letters Remap { tracing = False} 109.29/27.59 SRS with 4 rules on 3 letters EDG 109.29/27.59 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 109.29/27.59 SRS with 3 rules on 3 letters EDG 109.29/27.59 SRS with 3 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 109.29/27.59 SRS with 2 rules on 2 letters EDG 109.29/27.59 109.29/27.59 ************************************************** 109.29/27.59 (2, 2)\Deepee(4, 3)\Matrix{\Arctic}{4}(3, 3)\Matrix{\Arctic}{4}(2, 2)\EDG[] 109.29/27.59 ************************************************** 109.29/27.61 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]} 109.29/27.61 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 109.72/27.78 EOF