35.55/9.10 YES 35.55/9.10 property Termination 35.55/9.10 has value True 35.55/9.10 for SRS ( [b, b, b, b] -> [a, a, b, b], [a, a, a, a] -> [b, a, a, a], [a, b, a, b] -> [b, b, a, a]) 35.55/9.10 reason 35.55/9.10 remap for 3 rules 35.55/9.10 property Termination 35.55/9.10 has value True 35.55/9.10 for SRS ( [0, 0, 0, 0] -> [1, 1, 0, 0], [1, 1, 1, 1] -> [0, 1, 1, 1], [1, 0, 1, 0] -> [0, 0, 1, 1]) 35.55/9.10 reason 35.55/9.10 DP transform 35.55/9.10 property Termination 35.55/9.10 has value True 35.72/9.11 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 0], [1, 1, 1, 1] ->= [0, 1, 1, 1], [1, 0, 1, 0] ->= [0, 0, 1, 1], [0#, 0, 0, 0] |-> [1#, 1, 0, 0], [0#, 0, 0, 0] |-> [1#, 0, 0], [1#, 1, 1, 1] |-> [0#, 1, 1, 1], [1#, 0, 1, 0] |-> [0#, 0, 1, 1], [1#, 0, 1, 0] |-> [0#, 1, 1], [1#, 0, 1, 0] |-> [1#, 1], [1#, 0, 1, 0] |-> [1#]) 35.72/9.11 reason 35.72/9.11 remap for 10 rules 35.72/9.11 property Termination 35.72/9.11 has value True 35.72/9.11 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 0], [1, 1, 1, 1] ->= [0, 1, 1, 1], [1, 0, 1, 0] ->= [0, 0, 1, 1], [2, 0, 0, 0] |-> [3, 1, 0, 0], [2, 0, 0, 0] |-> [3, 0, 0], [3, 1, 1, 1] |-> [2, 1, 1, 1], [3, 0, 1, 0] |-> [2, 0, 1, 1], [3, 0, 1, 0] |-> [2, 1, 1], [3, 0, 1, 0] |-> [3, 1], [3, 0, 1, 0] |-> [3]) 35.72/9.11 reason 35.72/9.11 weights 35.72/9.11 Map [(0, 1/7), (1, 1/7)] 35.72/9.11 35.72/9.11 property Termination 35.72/9.11 has value True 35.72/9.11 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 0], [1, 1, 1, 1] ->= [0, 1, 1, 1], [1, 0, 1, 0] ->= [0, 0, 1, 1], [2, 0, 0, 0] |-> [3, 1, 0, 0], [3, 1, 1, 1] |-> [2, 1, 1, 1], [3, 0, 1, 0] |-> [2, 0, 1, 1]) 35.72/9.11 reason 35.72/9.11 EDG has 1 SCCs 35.72/9.11 property Termination 35.72/9.11 has value True 35.72/9.11 for SRS ( [2, 0, 0, 0] |-> [3, 1, 0, 0], [3, 0, 1, 0] |-> [2, 0, 1, 1], [3, 1, 1, 1] |-> [2, 1, 1, 1], [0, 0, 0, 0] ->= [1, 1, 0, 0], [1, 1, 1, 1] ->= [0, 1, 1, 1], [1, 0, 1, 0] ->= [0, 0, 1, 1]) 35.72/9.11 reason 35.72/9.11 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 35.72/9.11 interpretation 35.72/9.11 0 / 5A 5A 5A 10A 10A \ 35.72/9.11 | 5A 5A 5A 10A 10A | 35.72/9.11 | 0A 5A 5A 5A 5A | 35.72/9.11 | 0A 5A 5A 5A 5A | 35.72/9.11 \ 0A 0A 5A 5A 5A / 35.72/9.11 1 / 5A 5A 10A 10A 10A \ 35.72/9.11 | 5A 5A 5A 5A 10A | 35.72/9.11 | 5A 5A 5A 5A 10A | 35.72/9.11 | 0A 5A 5A 5A 5A | 35.72/9.11 \ 0A 0A 5A 5A 5A / 35.72/9.11 2 / 1A 5A 5A 6A 6A \ 35.72/9.11 | 1A 5A 5A 6A 6A | 35.72/9.11 | 1A 5A 5A 6A 6A | 35.72/9.11 | 1A 5A 5A 6A 6A | 35.72/9.11 \ 1A 5A 5A 6A 6A / 35.72/9.11 3 / 2A 5A 5A 5A 7A \ 35.72/9.11 | 2A 5A 5A 5A 7A | 35.72/9.11 | 2A 5A 5A 5A 7A | 35.72/9.11 | 2A 5A 5A 5A 7A | 35.72/9.11 \ 2A 5A 5A 5A 7A / 35.72/9.11 [2, 0, 0, 0] |-> [3, 1, 0, 0] 35.72/9.11 lhs rhs ge gt 35.72/9.11 / 25A 26A 26A 30A 30A \ / 22A 25A 25A 27A 27A \ True True 35.72/9.11 | 25A 26A 26A 30A 30A | | 22A 25A 25A 27A 27A | 35.72/9.11 | 25A 26A 26A 30A 30A | | 22A 25A 25A 27A 27A | 35.72/9.11 | 25A 26A 26A 30A 30A | | 22A 25A 25A 27A 27A | 35.72/9.11 \ 25A 26A 26A 30A 30A / \ 22A 25A 25A 27A 27A / 35.72/9.11 [3, 0, 1, 0] |-> [2, 0, 1, 1] 35.72/9.11 lhs rhs ge gt 35.72/9.11 / 25A 25A 27A 30A 30A \ / 25A 25A 26A 26A 30A \ True False 35.72/9.11 | 25A 25A 27A 30A 30A | | 25A 25A 26A 26A 30A | 35.72/9.11 | 25A 25A 27A 30A 30A | | 25A 25A 26A 26A 30A | 35.72/9.11 | 25A 25A 27A 30A 30A | | 25A 25A 26A 26A 30A | 35.72/9.11 \ 25A 25A 27A 30A 30A / \ 25A 25A 26A 26A 30A / 35.72/9.11 [3, 1, 1, 1] |-> [2, 1, 1, 1] 35.72/9.11 lhs rhs ge gt 35.72/9.11 / 25A 25A 27A 27A 30A \ / 25A 25A 26A 26A 30A \ True False 35.72/9.11 | 25A 25A 27A 27A 30A | | 25A 25A 26A 26A 30A | 35.72/9.11 | 25A 25A 27A 27A 30A | | 25A 25A 26A 26A 30A | 35.72/9.11 | 25A 25A 27A 27A 30A | | 25A 25A 26A 26A 30A | 35.72/9.11 \ 25A 25A 27A 27A 30A / \ 25A 25A 26A 26A 30A / 35.72/9.11 [0, 0, 0, 0] ->= [1, 1, 0, 0] 35.72/9.11 lhs rhs ge gt 35.72/9.11 / 25A 30A 30A 30A 30A \ / 25A 30A 30A 30A 30A \ True False 35.72/9.11 | 25A 30A 30A 30A 30A | | 25A 25A 25A 30A 30A | 35.72/9.11 | 25A 25A 25A 30A 30A | | 25A 25A 25A 30A 30A | 35.72/9.11 | 25A 25A 25A 30A 30A | | 20A 25A 25A 25A 25A | 35.72/9.11 \ 20A 25A 25A 25A 25A / \ 20A 25A 25A 25A 25A / 35.72/9.12 [1, 1, 1, 1] ->= [0, 1, 1, 1] 35.72/9.12 lhs rhs ge gt 35.72/9.12 / 30A 30A 30A 30A 35A \ / 25A 25A 30A 30A 30A \ True False 35.72/9.12 | 25A 25A 30A 30A 30A | | 25A 25A 30A 30A 30A | 35.72/9.12 | 25A 25A 30A 30A 30A | | 25A 25A 25A 25A 30A | 35.72/9.12 | 25A 25A 25A 25A 30A | | 25A 25A 25A 25A 30A | 35.72/9.12 \ 25A 25A 25A 25A 30A / \ 25A 25A 25A 25A 30A / 35.72/9.12 [1, 0, 1, 0] ->= [0, 0, 1, 1] 35.72/9.12 lhs rhs ge gt 35.72/9.12 / 25A 25A 30A 30A 30A \ / 25A 25A 30A 30A 30A \ True False 35.72/9.12 | 25A 25A 30A 30A 30A | | 25A 25A 30A 30A 30A | 35.72/9.12 | 25A 25A 30A 30A 30A | | 25A 25A 25A 25A 30A | 35.72/9.13 | 25A 25A 25A 30A 30A | | 25A 25A 25A 25A 30A | 35.72/9.13 \ 20A 20A 25A 25A 25A / \ 20A 20A 25A 25A 25A / 35.72/9.13 property Termination 35.72/9.13 has value True 35.72/9.13 for SRS ( [3, 0, 1, 0] |-> [2, 0, 1, 1], [3, 1, 1, 1] |-> [2, 1, 1, 1], [0, 0, 0, 0] ->= [1, 1, 0, 0], [1, 1, 1, 1] ->= [0, 1, 1, 1], [1, 0, 1, 0] ->= [0, 0, 1, 1]) 35.72/9.13 reason 35.72/9.13 weights 35.72/9.13 Map [(3, 2/1)] 35.72/9.13 35.72/9.13 property Termination 35.72/9.13 has value True 35.72/9.14 for SRS ( [0, 0, 0, 0] ->= [1, 1, 0, 0], [1, 1, 1, 1] ->= [0, 1, 1, 1], [1, 0, 1, 0] ->= [0, 0, 1, 1]) 35.72/9.14 reason 35.72/9.14 EDG has 0 SCCs 35.72/9.14 35.72/9.14 ************************************************** 35.72/9.14 summary 35.72/9.14 ************************************************** 35.72/9.14 SRS with 3 rules on 2 letters Remap { tracing = False} 35.72/9.14 SRS with 3 rules on 2 letters DP transform 35.72/9.14 SRS with 10 rules on 4 letters Remap { tracing = False} 35.72/9.14 SRS with 10 rules on 4 letters weights 35.72/9.14 SRS with 6 rules on 4 letters EDG 35.85/9.14 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 35.85/9.14 SRS with 5 rules on 4 letters weights 35.85/9.14 SRS with 3 rules on 2 letters EDG 35.85/9.14 35.85/9.14 ************************************************** 35.85/9.15 (3, 2)\Deepee(10, 4)\Weight(6, 4)\Matrix{\Arctic}{5}(5, 4)\Weight(3, 2)\EDG[] 35.85/9.15 ************************************************** 35.85/9.23 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]} 35.85/9.23 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 36.61/9.38 EOF