186.49/47.12 YES 186.49/47.12 property Termination 186.49/47.12 has value True 186.49/47.12 for SRS ( [b, b, a, a] -> [a, a, a, b], [a, a, a, b] -> [b, a, b, a], [a, b, a, b] -> [a, a, b, b]) 186.49/47.12 reason 186.49/47.12 remap for 3 rules 186.49/47.12 property Termination 186.49/47.12 has value True 186.49/47.12 for SRS ( [0, 0, 1, 1] -> [1, 1, 1, 0], [1, 1, 1, 0] -> [0, 1, 0, 1], [1, 0, 1, 0] -> [1, 1, 0, 0]) 186.49/47.12 reason 186.49/47.12 DP transform 186.49/47.12 property Termination 186.49/47.12 has value True 186.64/47.12 for SRS ( [0, 0, 1, 1] ->= [1, 1, 1, 0], [1, 1, 1, 0] ->= [0, 1, 0, 1], [1, 0, 1, 0] ->= [1, 1, 0, 0], [0#, 0, 1, 1] |-> [1#, 1, 1, 0], [0#, 0, 1, 1] |-> [1#, 1, 0], [0#, 0, 1, 1] |-> [1#, 0], [0#, 0, 1, 1] |-> [0#], [1#, 1, 1, 0] |-> [0#, 1, 0, 1], [1#, 1, 1, 0] |-> [1#, 0, 1], [1#, 1, 1, 0] |-> [0#, 1], [1#, 1, 1, 0] |-> [1#], [1#, 0, 1, 0] |-> [1#, 1, 0, 0], [1#, 0, 1, 0] |-> [1#, 0, 0], [1#, 0, 1, 0] |-> [0#, 0]) 186.64/47.12 reason 186.64/47.12 remap for 14 rules 186.64/47.12 property Termination 186.64/47.12 has value True 186.64/47.12 for SRS ( [0, 0, 1, 1] ->= [1, 1, 1, 0], [1, 1, 1, 0] ->= [0, 1, 0, 1], [1, 0, 1, 0] ->= [1, 1, 0, 0], [2, 0, 1, 1] |-> [3, 1, 1, 0], [2, 0, 1, 1] |-> [3, 1, 0], [2, 0, 1, 1] |-> [3, 0], [2, 0, 1, 1] |-> [2], [3, 1, 1, 0] |-> [2, 1, 0, 1], [3, 1, 1, 0] |-> [3, 0, 1], [3, 1, 1, 0] |-> [2, 1], [3, 1, 1, 0] |-> [3], [3, 0, 1, 0] |-> [3, 1, 0, 0], [3, 0, 1, 0] |-> [3, 0, 0], [3, 0, 1, 0] |-> [2, 0]) 186.64/47.12 reason 186.64/47.12 weights 186.64/47.12 Map [(0, 1/15), (1, 1/15)] 186.64/47.12 186.64/47.12 property Termination 186.64/47.12 has value True 186.64/47.12 for SRS ( [0, 0, 1, 1] ->= [1, 1, 1, 0], [1, 1, 1, 0] ->= [0, 1, 0, 1], [1, 0, 1, 0] ->= [1, 1, 0, 0], [2, 0, 1, 1] |-> [3, 1, 1, 0], [3, 1, 1, 0] |-> [2, 1, 0, 1], [3, 0, 1, 0] |-> [3, 1, 0, 0]) 186.64/47.12 reason 186.64/47.12 EDG has 1 SCCs 186.64/47.12 property Termination 186.64/47.12 has value True 186.64/47.13 for SRS ( [2, 0, 1, 1] |-> [3, 1, 1, 0], [3, 0, 1, 0] |-> [3, 1, 0, 0], [3, 1, 1, 0] |-> [2, 1, 0, 1], [0, 0, 1, 1] ->= [1, 1, 1, 0], [1, 1, 1, 0] ->= [0, 1, 0, 1], [1, 0, 1, 0] ->= [1, 1, 0, 0]) 186.64/47.13 reason 186.72/47.14 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 186.72/47.14 interpretation 186.72/47.14 0 Wk / 0 1 0 0 \ 186.72/47.14 | 0 0 1 0 | 186.72/47.14 | 1 0 1 0 | 186.72/47.14 \ 0 0 0 1 / 186.72/47.14 1 Wk / 0 1 0 2 \ 186.72/47.14 | 0 0 1 0 | 186.72/47.14 | 1 0 1 0 | 186.72/47.14 \ 0 0 0 1 / 186.72/47.14 2 Wk / 0 1 1 0 \ 186.72/47.14 | 0 0 0 4 | 186.72/47.14 | 0 0 0 0 | 186.72/47.14 \ 0 0 0 1 / 186.72/47.14 3 Wk / 0 1 1 2 \ 186.72/47.14 | 0 0 0 4 | 186.72/47.14 | 0 0 0 0 | 186.72/47.14 \ 0 0 0 1 / 186.72/47.14 [2, 0, 1, 1] |-> [3, 1, 1, 0] 186.72/47.14 lhs rhs ge gt 186.72/47.14 Wk / 2 2 3 6 \ Wk / 2 2 3 4 \ True True 186.72/47.14 | 0 0 0 4 | | 0 0 0 4 | 186.72/47.14 | 0 0 0 0 | | 0 0 0 0 | 186.72/47.14 \ 0 0 0 1 / \ 0 0 0 1 / 186.72/47.14 [3, 0, 1, 0] |-> [3, 1, 0, 0] 186.72/47.16 lhs rhs ge gt 186.72/47.16 Wk / 2 2 3 4 \ Wk / 2 2 3 2 \ True True 186.72/47.16 | 0 0 0 4 | | 0 0 0 4 | 186.72/47.16 | 0 0 0 0 | | 0 0 0 0 | 186.72/47.16 \ 0 0 0 1 / \ 0 0 0 1 / 186.72/47.16 [3, 1, 1, 0] |-> [2, 1, 0, 1] 186.72/47.16 lhs rhs ge gt 186.72/47.16 Wk / 2 2 3 4 \ Wk / 2 2 3 4 \ True False 186.72/47.16 | 0 0 0 4 | | 0 0 0 4 | 186.72/47.16 | 0 0 0 0 | | 0 0 0 0 | 186.72/47.16 \ 0 0 0 1 / \ 0 0 0 1 / 186.72/47.16 [0, 0, 1, 1] ->= [1, 1, 1, 0] 186.72/47.17 lhs rhs ge gt 186.72/47.17 Wk / 1 1 1 2 \ Wk / 1 1 1 2 \ True False 186.72/47.17 | 1 1 2 4 | | 1 1 2 2 | 186.72/47.17 | 2 1 3 4 | | 2 1 3 4 | 186.72/47.17 \ 0 0 0 1 / \ 0 0 0 1 / 186.72/47.17 [1, 1, 1, 0] ->= [0, 1, 0, 1] 186.72/47.19 lhs rhs ge gt 186.72/47.19 Wk / 1 1 1 2 \ Wk / 1 1 1 2 \ True False 186.72/47.19 | 1 1 2 2 | | 1 1 2 2 | 186.72/47.19 | 2 1 3 4 | | 2 1 3 4 | 186.72/47.19 \ 0 0 0 1 / \ 0 0 0 1 / 186.72/47.19 [1, 0, 1, 0] ->= [1, 1, 0, 0] 186.72/47.20 lhs rhs ge gt 186.72/47.20 Wk / 1 1 1 2 \ Wk / 1 1 1 2 \ True False 186.72/47.20 | 1 1 2 2 | | 1 1 2 0 | 186.72/47.20 | 2 1 3 2 | | 2 1 3 2 | 186.72/47.20 \ 0 0 0 1 / \ 0 0 0 1 / 186.72/47.20 property Termination 186.72/47.20 has value True 186.72/47.20 for SRS ( [3, 1, 1, 0] |-> [2, 1, 0, 1], [0, 0, 1, 1] ->= [1, 1, 1, 0], [1, 1, 1, 0] ->= [0, 1, 0, 1], [1, 0, 1, 0] ->= [1, 1, 0, 0]) 186.72/47.20 reason 186.72/47.20 weights 186.72/47.20 Map [(3, 1/1)] 186.72/47.20 186.72/47.20 property Termination 186.72/47.20 has value True 186.72/47.20 for SRS ( [0, 0, 1, 1] ->= [1, 1, 1, 0], [1, 1, 1, 0] ->= [0, 1, 0, 1], [1, 0, 1, 0] ->= [1, 1, 0, 0]) 186.72/47.20 reason 186.72/47.20 EDG has 0 SCCs 186.72/47.20 186.72/47.20 ************************************************** 186.72/47.20 summary 186.72/47.20 ************************************************** 186.72/47.20 SRS with 3 rules on 2 letters Remap { tracing = False} 186.72/47.20 SRS with 3 rules on 2 letters DP transform 186.72/47.20 SRS with 14 rules on 4 letters Remap { tracing = False} 186.72/47.20 SRS with 14 rules on 4 letters weights 187.03/47.25 SRS with 6 rules on 4 letters EDG 187.03/47.25 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 187.03/47.25 SRS with 4 rules on 4 letters weights 187.03/47.25 SRS with 3 rules on 2 letters EDG 187.03/47.25 187.03/47.25 ************************************************** 187.03/47.25 (3, 2)\Deepee(14, 4)\Weight(6, 4)\Matrix{\Natural}{4}(4, 4)\Weight(3, 2)\EDG[] 187.03/47.25 ************************************************** 187.98/47.48 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]} 187.98/47.48 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 188.79/47.71 EOF