39.65/10.03 YES 39.65/10.03 property Termination 39.65/10.03 has value True 39.65/10.07 for SRS ( [a, b] -> [], [a, c] -> [c, b, c, c], [b, c] -> [a, b]) 39.65/10.07 reason 39.65/10.07 remap for 3 rules 39.65/10.07 property Termination 39.65/10.07 has value True 39.65/10.07 for SRS ( [0, 1] -> [], [0, 2] -> [2, 1, 2, 2], [1, 2] -> [0, 1]) 39.65/10.07 reason 39.65/10.07 DP transform 39.65/10.07 property Termination 39.65/10.07 has value True 39.65/10.10 for SRS ( [0, 1] ->= [], [0, 2] ->= [2, 1, 2, 2], [1, 2] ->= [0, 1], [0#, 2] |-> [1#, 2, 2], [1#, 2] |-> [0#, 1], [1#, 2] |-> [1#]) 39.65/10.10 reason 39.65/10.10 remap for 6 rules 39.65/10.11 property Termination 39.65/10.11 has value True 39.65/10.11 for SRS ( [0, 1] ->= [], [0, 2] ->= [2, 1, 2, 2], [1, 2] ->= [0, 1], [3, 2] |-> [4, 2, 2], [4, 2] |-> [3, 1], [4, 2] |-> [4]) 39.65/10.11 reason 39.65/10.11 EDG has 1 SCCs 39.65/10.11 property Termination 39.65/10.11 has value True 39.65/10.11 for SRS ( [3, 2] |-> [4, 2, 2], [4, 2] |-> [4], [4, 2] |-> [3, 1], [0, 1] ->= [], [0, 2] ->= [2, 1, 2, 2], [1, 2] ->= [0, 1]) 39.65/10.11 reason 39.65/10.11 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 39.65/10.11 interpretation 39.65/10.11 0 Wk / - 0A - 1A \ 39.65/10.11 | - 2A 0A - | 39.65/10.11 | 0A 0A 1A 4A | 39.65/10.11 \ - - - 0A / 39.65/10.11 1 Wk / - - 0A 1A \ 39.65/10.11 | 0A - - 0A | 39.65/10.11 | - 0A - - | 39.65/10.11 \ - - - 0A / 39.65/10.11 2 Wk / 2A 0A - 2A \ 39.65/10.11 | 4A 2A 0A 4A | 39.65/10.11 | 0A - - - | 39.65/10.11 \ - - - 0A / 39.65/10.11 3 Wk / - 3A 2A 4A \ 39.65/10.11 | - - - - | 39.65/10.11 | - - - - | 39.65/10.11 \ - - - 0A / 39.65/10.11 4 Wk / - 0A 0A 1A \ 39.65/10.11 | - - - - | 39.65/10.11 | - - - - | 39.65/10.11 \ - - - 0A / 39.65/10.11 [3, 2] |-> [4, 2, 2] 40.02/10.12 lhs rhs ge gt 40.02/10.12 Wk / 7A 5A 3A 7A \ Wk / 6A 4A 2A 6A \ True True 40.02/10.12 | - - - - | | - - - - | 40.02/10.12 | - - - - | | - - - - | 40.02/10.12 \ - - - 0A / \ - - - 0A / 40.02/10.12 [4, 2] |-> [4] 40.02/10.14 lhs rhs ge gt 40.02/10.14 Wk / 4A 2A 0A 4A \ Wk / - 0A 0A 1A \ True False 40.02/10.14 | - - - - | | - - - - | 40.02/10.14 | - - - - | | - - - - | 40.02/10.14 \ - - - 0A / \ - - - 0A / 40.02/10.14 [4, 2] |-> [3, 1] 40.02/10.14 lhs rhs ge gt 40.02/10.14 Wk / 4A 2A 0A 4A \ Wk / 3A 2A - 4A \ True False 40.02/10.14 | - - - - | | - - - - | 40.02/10.14 | - - - - | | - - - - | 40.02/10.14 \ - - - 0A / \ - - - 0A / 40.02/10.14 [0, 1] ->= [] 40.02/10.14 lhs rhs ge gt 40.02/10.14 Wk / 0A - - 1A \ Wk / 0A - - - \ True False 40.02/10.14 | 2A 0A - 2A | | - 0A - - | 40.02/10.14 | 0A 1A 0A 4A | | - - 0A - | 40.02/10.14 \ - - - 0A / \ - - - 0A / 40.02/10.14 [0, 2] ->= [2, 1, 2, 2] 40.02/10.16 lhs rhs ge gt 40.02/10.16 Wk / 4A 2A 0A 4A \ Wk / 4A 2A 0A 4A \ True False 40.02/10.16 | 6A 4A 2A 6A | | 6A 4A 2A 6A | 40.02/10.16 | 4A 2A 0A 4A | | 2A 0A - 2A | 40.02/10.16 \ - - - 0A / \ - - - 0A / 40.02/10.16 [1, 2] ->= [0, 1] 40.34/10.20 lhs rhs ge gt 40.34/10.20 Wk / 0A - - 1A \ Wk / 0A - - 1A \ True False 40.34/10.20 | 2A 0A - 2A | | 2A 0A - 2A | 40.34/10.21 | 4A 2A 0A 4A | | 0A 1A 0A 4A | 40.34/10.21 \ - - - 0A / \ - - - 0A / 40.34/10.21 property Termination 40.34/10.21 has value True 40.34/10.21 for SRS ( [4, 2] |-> [4], [4, 2] |-> [3, 1], [0, 1] ->= [], [0, 2] ->= [2, 1, 2, 2], [1, 2] ->= [0, 1]) 40.34/10.21 reason 40.34/10.21 weights 40.34/10.21 Map [(4, 1/1)] 40.34/10.21 40.34/10.21 property Termination 40.34/10.21 has value True 40.34/10.21 for SRS ( [4, 2] |-> [4], [0, 1] ->= [], [0, 2] ->= [2, 1, 2, 2], [1, 2] ->= [0, 1]) 40.34/10.21 reason 40.34/10.21 EDG has 1 SCCs 40.34/10.21 property Termination 40.34/10.21 has value True 40.34/10.22 for SRS ( [4, 2] |-> [4], [0, 1] ->= [], [0, 2] ->= [2, 1, 2, 2], [1, 2] ->= [0, 1]) 40.34/10.22 reason 40.34/10.23 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 40.34/10.23 interpretation 40.34/10.23 0 Wk / 2A 0A - 0A \ 40.34/10.23 | 1A 1A 0A 4A | 40.34/10.23 | 0A - - 0A | 40.34/10.23 \ - - - 0A / 40.34/10.23 1 Wk / - - 0A 0A \ 40.34/10.23 | 0A - 0A 2A | 40.34/10.23 | - 0A - 3A | 40.34/10.23 \ - - - 0A / 40.34/10.25 2 Wk / 2A 0A 4A 5A \ 40.34/10.25 | - - 0A 1A | 40.34/10.25 | 0A - 2A 2A | 40.34/10.25 \ - - - 0A / 40.34/10.25 4 Wk / 4A 0A - - \ 40.34/10.25 | - - - - | 40.34/10.25 | 0A - - - | 40.34/10.25 \ - - - 0A / 40.34/10.25 [4, 2] |-> [4] 40.34/10.25 lhs rhs ge gt 40.34/10.25 Wk / 6A 4A 8A 9A \ Wk / 4A 0A - - \ True True 40.34/10.25 | - - - - | | - - - - | 40.34/10.25 | 2A 0A 4A 5A | | 0A - - - | 40.34/10.25 \ - - - 0A / \ - - - 0A / 40.34/10.25 [0, 1] ->= [] 40.34/10.25 lhs rhs ge gt 40.34/10.25 Wk / 0A - 2A 2A \ Wk / 0A - - - \ True False 40.34/10.25 | 1A 0A 1A 4A | | - 0A - - | 40.34/10.25 | - - 0A 0A | | - - 0A - | 40.34/10.25 \ - - - 0A / \ - - - 0A / 40.34/10.25 [0, 2] ->= [2, 1, 2, 2] 40.75/10.34 lhs rhs ge gt 40.75/10.34 Wk / 4A 2A 6A 7A \ Wk / 4A 2A 6A 7A \ True False 40.75/10.34 | 3A 1A 5A 6A | | 0A - 2A 3A | 40.75/10.34 | 2A 0A 4A 5A | | 2A 0A 4A 5A | 40.75/10.34 \ - - - 0A / \ - - - 0A / 40.75/10.34 [1, 2] ->= [0, 1] 40.75/10.34 lhs rhs ge gt 40.75/10.34 Wk / 0A - 2A 2A \ Wk / 0A - 2A 2A \ True False 40.75/10.34 | 2A 0A 4A 5A | | 1A 0A 1A 4A | 40.75/10.34 | - - 0A 3A | | - - 0A 0A | 40.75/10.34 \ - - - 0A / \ - - - 0A / 40.75/10.34 property Termination 40.75/10.34 has value True 40.75/10.34 for SRS ( [0, 1] ->= [], [0, 2] ->= [2, 1, 2, 2], [1, 2] ->= [0, 1]) 40.75/10.34 reason 40.75/10.34 EDG has 0 SCCs 40.75/10.34 40.75/10.34 ************************************************** 40.75/10.34 summary 40.75/10.34 ************************************************** 40.75/10.34 SRS with 3 rules on 3 letters Remap { tracing = False} 40.75/10.34 SRS with 3 rules on 3 letters DP transform 40.75/10.34 SRS with 6 rules on 5 letters Remap { tracing = False} 40.75/10.34 SRS with 6 rules on 5 letters EDG 40.75/10.34 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 40.75/10.34 SRS with 5 rules on 5 letters weights 40.75/10.34 SRS with 4 rules on 4 letters EDG 40.75/10.34 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 40.75/10.34 SRS with 3 rules on 3 letters EDG 40.75/10.34 40.75/10.34 ************************************************** 40.75/10.34 (3, 3)\Deepee(6, 5)\Matrix{\Arctic}{4}(5, 5)\Weight(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 40.75/10.34 ************************************************** 40.75/10.37 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]} 40.75/10.37 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 41.06/10.48 EOF