39.25/9.93 YES 39.25/9.93 property Termination 39.25/9.93 has value True 39.25/9.94 for SRS ( [a] -> [b], [a, b] -> [b, a, c, a], [b, b] -> [], [c, c] -> []) 39.25/9.94 reason 39.25/9.94 remap for 4 rules 39.25/9.94 property Termination 39.25/9.94 has value True 39.25/9.95 for SRS ( [0] -> [1], [0, 1] -> [1, 0, 2, 0], [1, 1] -> [], [2, 2] -> []) 39.25/9.95 reason 39.25/9.95 DP transform 39.25/9.95 property Termination 39.25/9.95 has value True 39.25/9.95 for SRS ( [0] ->= [1], [0, 1] ->= [1, 0, 2, 0], [1, 1] ->= [], [2, 2] ->= [], [0#] |-> [1#], [0#, 1] |-> [1#, 0, 2, 0], [0#, 1] |-> [0#, 2, 0], [0#, 1] |-> [2#, 0], [0#, 1] |-> [0#]) 39.25/9.95 reason 39.25/9.95 remap for 9 rules 39.25/9.95 property Termination 39.25/9.95 has value True 39.25/9.95 for SRS ( [0] ->= [1], [0, 1] ->= [1, 0, 2, 0], [1, 1] ->= [], [2, 2] ->= [], [3] |-> [4], [3, 1] |-> [4, 0, 2, 0], [3, 1] |-> [3, 2, 0], [3, 1] |-> [5, 0], [3, 1] |-> [3]) 39.25/9.95 reason 39.25/9.95 weights 39.25/9.95 Map [(3, 3/1)] 39.25/9.95 39.25/9.95 property Termination 39.25/9.95 has value True 39.25/9.95 for SRS ( [0] ->= [1], [0, 1] ->= [1, 0, 2, 0], [1, 1] ->= [], [2, 2] ->= [], [3, 1] |-> [3, 2, 0], [3, 1] |-> [3]) 39.25/9.95 reason 39.25/9.95 EDG has 1 SCCs 39.25/9.95 property Termination 39.25/9.95 has value True 39.25/9.95 for SRS ( [3, 1] |-> [3, 2, 0], [3, 1] |-> [3], [0] ->= [1], [0, 1] ->= [1, 0, 2, 0], [1, 1] ->= [], [2, 2] ->= []) 39.25/9.95 reason 39.25/9.96 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 39.25/9.96 interpretation 39.25/9.96 0 Wk / 2A - 2A 3A \ 39.25/9.96 | - - 0A 1A | 39.25/9.96 | 2A 0A 2A 5A | 39.25/9.96 \ - - - 0A / 39.25/9.97 1 Wk / 2A - 2A 2A \ 39.25/9.97 | - - 0A 0A | 39.25/9.97 | 2A 0A 2A 5A | 39.25/9.97 \ - - - 0A / 39.25/9.98 2 Wk / - 0A - 2A \ 39.25/9.98 | 0A 2A 0A - | 39.25/9.98 | - 0A - 2A | 39.25/9.98 \ - - - 0A / 39.25/9.98 3 Wk / 2A 0A 2A 6A \ 39.25/9.98 | 4A - - - | 39.25/9.98 | 5A - - 3A | 39.25/9.98 \ - - - 0A / 39.25/9.98 [3, 1] |-> [3, 2, 0] 39.25/9.99 lhs rhs ge gt 39.25/9.99 Wk / 4A 2A 4A 7A \ Wk / 2A 0A 2A 6A \ True False 39.25/9.99 | 6A - 6A 6A | | - - 4A 6A | 39.25/9.99 | 7A - 7A 7A | | - - 5A 7A | 39.25/9.99 \ - - - 0A / \ - - - 0A / 39.25/9.99 [3, 1] |-> [3] 39.49/10.02 lhs rhs ge gt 39.49/10.02 Wk / 4A 2A 4A 7A \ Wk / 2A 0A 2A 6A \ True True 39.49/10.02 | 6A - 6A 6A | | 4A - - - | 39.49/10.02 | 7A - 7A 7A | | 5A - - 3A | 39.49/10.02 \ - - - 0A / \ - - - 0A / 39.49/10.02 [0] ->= [1] 39.49/10.03 lhs rhs ge gt 39.49/10.03 Wk / 2A - 2A 3A \ Wk / 2A - 2A 2A \ True False 39.49/10.03 | - - 0A 1A | | - - 0A 0A | 39.49/10.03 | 2A 0A 2A 5A | | 2A 0A 2A 5A | 39.49/10.03 \ - - - 0A / \ - - - 0A / 39.49/10.03 [0, 1] ->= [1, 0, 2, 0] 39.49/10.03 lhs rhs ge gt 39.49/10.03 Wk / 4A 2A 4A 7A \ Wk / 4A 2A 4A 7A \ True False 39.49/10.03 | 2A 0A 2A 5A | | 2A 0A 2A 5A | 39.49/10.03 | 4A 2A 4A 7A | | 4A 2A 4A 7A | 39.49/10.03 \ - - - 0A / \ - - - 0A / 39.49/10.03 [1, 1] ->= [] 39.49/10.07 lhs rhs ge gt 39.49/10.07 Wk / 4A 2A 4A 7A \ Wk / 0A - - - \ True False 39.49/10.07 | 2A 0A 2A 5A | | - 0A - - | 39.49/10.07 | 4A 2A 4A 7A | | - - 0A - | 39.49/10.07 \ - - - 0A / \ - - - 0A / 39.49/10.07 [2, 2] ->= [] 39.79/10.09 lhs rhs ge gt 39.79/10.09 Wk / 0A 2A 0A 2A \ Wk / 0A - - - \ True False 39.79/10.10 | 2A 4A 2A 2A | | - 0A - - | 39.79/10.10 | 0A 2A 0A 2A | | - - 0A - | 39.79/10.10 \ - - - 0A / \ - - - 0A / 39.79/10.10 property Termination 39.79/10.10 has value True 39.89/10.11 for SRS ( [3, 1] |-> [3, 2, 0], [0] ->= [1], [0, 1] ->= [1, 0, 2, 0], [1, 1] ->= [], [2, 2] ->= []) 39.89/10.11 reason 39.89/10.11 EDG has 1 SCCs 39.89/10.11 property Termination 39.89/10.11 has value True 39.89/10.11 for SRS ( [3, 1] |-> [3, 2, 0], [0] ->= [1], [0, 1] ->= [1, 0, 2, 0], [1, 1] ->= [], [2, 2] ->= []) 39.89/10.11 reason 39.89/10.12 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 39.89/10.12 interpretation 39.96/10.13 0 Wk / 2A 0A 1A 2A \ 39.96/10.13 | 0A - - - | 39.96/10.13 | 0A - - - | 39.96/10.13 \ - - - 0A / 39.96/10.13 1 Wk / 2A 0A 1A 2A \ 39.96/10.13 | 0A - - - | 39.96/10.13 | 0A - - - | 39.96/10.13 \ - - - 0A / 39.96/10.13 2 Wk / - 0A 0A 0A \ 39.96/10.13 | 0A - 0A - | 39.96/10.14 | - 1A 0A - | 39.96/10.14 \ - - - 0A / 39.96/10.14 3 Wk / 4A - - 5A \ 39.96/10.14 | - - - - | 39.96/10.14 | - - - - | 39.96/10.14 \ - - - 0A / 39.96/10.14 [3, 1] |-> [3, 2, 0] 39.96/10.15 lhs rhs ge gt 39.96/10.16 Wk / 6A 4A 5A 6A \ Wk / 4A - - 5A \ True True 39.96/10.16 | - - - - | | - - - - | 39.96/10.16 | - - - - | | - - - - | 39.96/10.16 \ - - - 0A / \ - - - 0A / 39.96/10.16 [0] ->= [1] 39.96/10.18 lhs rhs ge gt 39.96/10.18 Wk / 2A 0A 1A 2A \ Wk / 2A 0A 1A 2A \ True False 39.96/10.18 | 0A - - - | | 0A - - - | 39.96/10.18 | 0A - - - | | 0A - - - | 39.96/10.18 \ - - - 0A / \ - - - 0A / 39.96/10.18 [0, 1] ->= [1, 0, 2, 0] 40.28/10.23 lhs rhs ge gt 40.28/10.23 Wk / 4A 2A 3A 4A \ Wk / 4A 2A 3A 4A \ True False 40.28/10.23 | 2A 0A 1A 2A | | 2A 0A 1A 2A | 40.28/10.23 | 2A 0A 1A 2A | | 2A 0A 1A 2A | 40.28/10.24 \ - - - 0A / \ - - - 0A / 40.28/10.24 [1, 1] ->= [] 40.28/10.26 lhs rhs ge gt 40.28/10.26 Wk / 4A 2A 3A 4A \ Wk / 0A - - - \ True False 40.28/10.27 | 2A 0A 1A 2A | | - 0A - - | 40.28/10.27 | 2A 0A 1A 2A | | - - 0A - | 40.28/10.27 \ - - - 0A / \ - - - 0A / 40.28/10.27 [2, 2] ->= [] 40.28/10.27 lhs rhs ge gt 40.28/10.27 Wk / 0A 1A 0A 0A \ Wk / 0A - - - \ True False 40.28/10.27 | - 1A 0A 0A | | - 0A - - | 40.28/10.27 | 1A 1A 1A - | | - - 0A - | 40.28/10.27 \ - - - 0A / \ - - - 0A / 40.28/10.27 property Termination 40.28/10.27 has value True 40.28/10.27 for SRS ( [0] ->= [1], [0, 1] ->= [1, 0, 2, 0], [1, 1] ->= [], [2, 2] ->= []) 40.28/10.27 reason 40.28/10.27 EDG has 0 SCCs 40.28/10.27 40.28/10.27 ************************************************** 40.28/10.27 summary 40.28/10.27 ************************************************** 40.28/10.27 SRS with 4 rules on 3 letters Remap { tracing = False} 40.28/10.27 SRS with 4 rules on 3 letters DP transform 40.28/10.27 SRS with 9 rules on 6 letters Remap { tracing = False} 40.28/10.27 SRS with 9 rules on 6 letters weights 40.28/10.27 SRS with 6 rules on 4 letters EDG 40.28/10.27 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 40.28/10.27 SRS with 5 rules on 4 letters EDG 40.28/10.27 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 40.28/10.27 SRS with 4 rules on 3 letters EDG 40.28/10.27 40.28/10.27 ************************************************** 40.28/10.27 (4, 3)\Deepee(9, 6)\Weight(6, 4)\Matrix{\Arctic}{4}(5, 4)\Matrix{\Arctic}{4}(4, 3)\EDG[] 40.28/10.27 ************************************************** 40.58/10.30 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]} 40.58/10.30 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 40.81/10.41 EOF