79.14/20.03 YES 79.14/20.03 property Termination 79.14/20.03 has value True 79.14/20.03 for SRS ( [b, a, a, b] -> [b, a, b, a], [a, a, a, a] -> [a, b, b, a], [b, b, a, b] -> [a, a, b, a]) 79.14/20.03 reason 79.14/20.03 remap for 3 rules 79.14/20.03 property Termination 79.14/20.03 has value True 79.14/20.03 for SRS ( [0, 1, 1, 0] -> [0, 1, 0, 1], [1, 1, 1, 1] -> [1, 0, 0, 1], [0, 0, 1, 0] -> [1, 1, 0, 1]) 79.14/20.03 reason 79.14/20.03 reverse each lhs and rhs 79.14/20.03 property Termination 79.14/20.03 has value True 79.14/20.03 for SRS ( [0, 1, 1, 0] -> [1, 0, 1, 0], [1, 1, 1, 1] -> [1, 0, 0, 1], [0, 1, 0, 0] -> [1, 0, 1, 1]) 79.14/20.03 reason 79.14/20.03 DP transform 79.14/20.03 property Termination 79.14/20.03 has value True 79.14/20.03 for SRS ( [0, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 1, 1] ->= [1, 0, 0, 1], [0, 1, 0, 0] ->= [1, 0, 1, 1], [0#, 1, 1, 0] |-> [1#, 0, 1, 0], [0#, 1, 1, 0] |-> [0#, 1, 0], [1#, 1, 1, 1] |-> [1#, 0, 0, 1], [1#, 1, 1, 1] |-> [0#, 0, 1], [1#, 1, 1, 1] |-> [0#, 1], [0#, 1, 0, 0] |-> [1#, 0, 1, 1], [0#, 1, 0, 0] |-> [0#, 1, 1], [0#, 1, 0, 0] |-> [1#, 1], [0#, 1, 0, 0] |-> [1#]) 79.14/20.03 reason 79.14/20.03 remap for 12 rules 79.14/20.03 property Termination 79.14/20.03 has value True 79.14/20.03 for SRS ( [0, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 1, 1] ->= [1, 0, 0, 1], [0, 1, 0, 0] ->= [1, 0, 1, 1], [2, 1, 1, 0] |-> [3, 0, 1, 0], [2, 1, 1, 0] |-> [2, 1, 0], [3, 1, 1, 1] |-> [3, 0, 0, 1], [3, 1, 1, 1] |-> [2, 0, 1], [3, 1, 1, 1] |-> [2, 1], [2, 1, 0, 0] |-> [3, 0, 1, 1], [2, 1, 0, 0] |-> [2, 1, 1], [2, 1, 0, 0] |-> [3, 1], [2, 1, 0, 0] |-> [3]) 79.14/20.03 reason 79.14/20.04 weights 79.14/20.04 Map [(0, 3/1), (1, 3/1), (2, 2/1)] 79.14/20.04 79.14/20.04 property Termination 79.14/20.04 has value True 79.14/20.04 for SRS ( [0, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 1, 1] ->= [1, 0, 0, 1], [0, 1, 0, 0] ->= [1, 0, 1, 1], [3, 1, 1, 1] |-> [3, 0, 0, 1]) 79.14/20.04 reason 79.14/20.04 EDG has 1 SCCs 79.14/20.04 property Termination 79.14/20.04 has value True 79.14/20.04 for SRS ( [3, 1, 1, 1] |-> [3, 0, 0, 1], [0, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 1, 1] ->= [1, 0, 0, 1], [0, 1, 0, 0] ->= [1, 0, 1, 1]) 79.14/20.04 reason 79.14/20.04 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 79.14/20.04 interpretation 79.14/20.04 0 Wk / 1 0 2 0 \ 79.14/20.04 | 1 0 0 2 | 79.14/20.04 | 0 0 0 1 | 79.14/20.04 \ 0 0 0 1 / 79.14/20.04 1 Wk / 1 0 0 1 \ 79.14/20.04 | 1 0 0 3 | 79.14/20.04 | 0 0 0 0 | 79.14/20.04 \ 0 0 0 1 / 79.14/20.04 3 Wk / 0 1 1 0 \ 79.14/20.04 | 0 0 0 0 | 79.14/20.04 | 0 0 0 0 | 79.14/20.04 \ 0 0 0 1 / 79.14/20.04 [3, 1, 1, 1] |-> [3, 0, 0, 1] 79.36/20.05 lhs rhs ge gt 79.36/20.05 Wk / 1 0 0 5 \ Wk / 1 0 0 4 \ True True 79.36/20.05 | 0 0 0 0 | | 0 0 0 0 | 79.36/20.05 | 0 0 0 0 | | 0 0 0 0 | 79.36/20.05 \ 0 0 0 1 / \ 0 0 0 1 / 79.36/20.05 [0, 1, 1, 0] ->= [1, 0, 1, 0] 79.36/20.05 lhs rhs ge gt 79.36/20.05 Wk / 1 0 2 2 \ Wk / 1 0 2 2 \ True False 79.36/20.05 | 1 0 2 4 | | 1 0 2 4 | 79.36/20.05 | 0 0 0 1 | | 0 0 0 0 | 79.36/20.05 \ 0 0 0 1 / \ 0 0 0 1 / 79.36/20.05 [1, 1, 1, 1] ->= [1, 0, 0, 1] 79.36/20.05 lhs rhs ge gt 79.36/20.05 Wk / 1 0 0 4 \ Wk / 1 0 0 4 \ True False 79.36/20.05 | 1 0 0 6 | | 1 0 0 6 | 79.36/20.05 | 0 0 0 0 | | 0 0 0 0 | 79.36/20.05 \ 0 0 0 1 / \ 0 0 0 1 / 79.36/20.05 [0, 1, 0, 0] ->= [1, 0, 1, 1] 79.36/20.05 lhs rhs ge gt 79.36/20.05 Wk / 1 0 2 3 \ Wk / 1 0 0 3 \ True False 79.36/20.05 | 1 0 2 5 | | 1 0 0 5 | 79.36/20.05 | 0 0 0 1 | | 0 0 0 0 | 79.36/20.05 \ 0 0 0 1 / \ 0 0 0 1 / 79.36/20.05 property Termination 79.36/20.05 has value True 79.36/20.05 for SRS ( [0, 1, 1, 0] ->= [1, 0, 1, 0], [1, 1, 1, 1] ->= [1, 0, 0, 1], [0, 1, 0, 0] ->= [1, 0, 1, 1]) 79.36/20.05 reason 79.36/20.05 EDG has 0 SCCs 79.36/20.05 79.36/20.05 ************************************************** 79.36/20.05 summary 79.36/20.05 ************************************************** 79.36/20.05 SRS with 3 rules on 2 letters Remap { tracing = False} 79.36/20.05 SRS with 3 rules on 2 letters reverse each lhs and rhs 79.36/20.05 SRS with 3 rules on 2 letters DP transform 79.36/20.05 SRS with 12 rules on 4 letters Remap { tracing = False} 79.36/20.05 SRS with 12 rules on 4 letters weights 79.36/20.05 SRS with 4 rules on 3 letters EDG 79.36/20.05 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 79.36/20.05 SRS with 3 rules on 2 letters EDG 79.36/20.05 79.36/20.05 ************************************************** 79.36/20.05 (3, 2)\Deepee(12, 4)\Weight(4, 3)\Matrix{\Natural}{4}(3, 2)\EDG[] 79.36/20.05 ************************************************** 79.80/20.21 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]} 79.80/20.21 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 80.53/20.35 EOF