50.96/12.89 YES 50.96/12.89 property Termination 50.96/12.89 has value True 50.96/12.90 for SRS ( [a] -> [], [a, b] -> [c, b, c, b, a], [b] -> [a], [c, c] -> []) 50.96/12.90 reason 50.96/12.90 remap for 4 rules 50.96/12.90 property Termination 50.96/12.90 has value True 50.96/12.90 for SRS ( [0] -> [], [0, 1] -> [2, 1, 2, 1, 0], [1] -> [0], [2, 2] -> []) 50.96/12.90 reason 50.96/12.90 DP transform 50.96/12.90 property Termination 50.96/12.90 has value True 50.96/12.91 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 2, 1, 0], [1] ->= [0], [2, 2] ->= [], [0#, 1] |-> [2#, 1, 2, 1, 0], [0#, 1] |-> [1#, 2, 1, 0], [0#, 1] |-> [2#, 1, 0], [0#, 1] |-> [1#, 0], [0#, 1] |-> [0#], [1#] |-> [0#]) 50.96/12.91 reason 50.96/12.91 remap for 10 rules 50.96/12.91 property Termination 50.96/12.91 has value True 50.96/12.91 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 2, 1, 0], [1] ->= [0], [2, 2] ->= [], [3, 1] |-> [4, 1, 2, 1, 0], [3, 1] |-> [5, 2, 1, 0], [3, 1] |-> [4, 1, 0], [3, 1] |-> [5, 0], [3, 1] |-> [3], [5] |-> [3]) 50.96/12.91 reason 50.96/12.91 weights 50.96/12.91 Map [(3, 1/2), (5, 1/2)] 50.96/12.91 50.96/12.91 property Termination 50.96/12.91 has value True 50.96/12.91 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 2, 1, 0], [1] ->= [0], [2, 2] ->= [], [3, 1] |-> [5, 2, 1, 0], [3, 1] |-> [5, 0], [3, 1] |-> [3], [5] |-> [3]) 50.96/12.92 reason 50.96/12.92 EDG has 1 SCCs 50.96/12.92 property Termination 50.96/12.92 has value True 50.96/12.92 for SRS ( [3, 1] |-> [5, 2, 1, 0], [5] |-> [3], [3, 1] |-> [3], [3, 1] |-> [5, 0], [0] ->= [], [0, 1] ->= [2, 1, 2, 1, 0], [1] ->= [0], [2, 2] ->= []) 50.96/12.92 reason 50.96/12.92 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 50.96/12.92 interpretation 50.96/12.92 0 Wk / 0A 2A 2A 2A \ 50.96/12.92 | - 0A 0A - | 50.96/12.92 | - 0A 0A - | 50.96/12.92 \ - - - 0A / 50.96/12.93 1 Wk / 0A 2A 2A 2A \ 50.96/12.93 | 2A 4A 4A 4A | 50.96/12.93 | - 1A 1A - | 50.96/12.93 \ - - - 0A / 50.96/12.94 2 Wk / 2A 0A - 1A \ 50.96/12.94 | 0A - 1A - | 51.25/12.94 | 0A - 1A - | 51.25/12.94 \ - - - 0A / 52.15/13.18 3 Wk / 0A 2A - - \ 52.15/13.18 | - 1A - 0A | 52.15/13.18 | - 3A 5A 4A | 52.15/13.18 \ - - - 0A / 52.15/13.18 5 Wk / 2A 2A - - \ 52.15/13.18 | - 2A - 5A | 52.15/13.18 | - 5A 5A 5A | 52.15/13.18 \ - - - 0A / 52.15/13.18 [3, 1] |-> [5, 2, 1, 0] 52.15/13.18 lhs rhs ge gt 52.15/13.18 Wk / 4A 6A 6A 6A \ Wk / 4A 6A 6A 6A \ True False 52.15/13.18 | 3A 5A 5A 5A | | 2A 4A 4A 5A | 52.15/13.18 | 5A 7A 7A 7A | | 5A 7A 7A 7A | 52.15/13.18 \ - - - 0A / \ - - - 0A / 52.15/13.18 [5] |-> [3] 52.15/13.18 lhs rhs ge gt 52.15/13.18 Wk / 2A 2A - - \ Wk / 0A 2A - - \ True False 52.15/13.18 | - 2A - 5A | | - 1A - 0A | 52.15/13.18 | - 5A 5A 5A | | - 3A 5A 4A | 52.15/13.18 \ - - - 0A / \ - - - 0A / 52.15/13.18 [3, 1] |-> [3] 52.15/13.19 lhs rhs ge gt 52.15/13.19 Wk / 4A 6A 6A 6A \ Wk / 0A 2A - - \ True True 52.15/13.19 | 3A 5A 5A 5A | | - 1A - 0A | 52.15/13.19 | 5A 7A 7A 7A | | - 3A 5A 4A | 52.15/13.19 \ - - - 0A / \ - - - 0A / 52.15/13.19 [3, 1] |-> [5, 0] 52.15/13.19 lhs rhs ge gt 52.15/13.19 Wk / 4A 6A 6A 6A \ Wk / 2A 4A 4A 4A \ True False 52.15/13.19 | 3A 5A 5A 5A | | - 2A 2A 5A | 52.15/13.19 | 5A 7A 7A 7A | | - 5A 5A 5A | 52.15/13.19 \ - - - 0A / \ - - - 0A / 52.15/13.19 [0] ->= [] 52.15/13.21 lhs rhs ge gt 52.15/13.21 Wk / 0A 2A 2A 2A \ Wk / 0A - - - \ True False 52.15/13.21 | - 0A 0A - | | - 0A - - | 52.15/13.21 | - 0A 0A - | | - - 0A - | 52.15/13.21 \ - - - 0A / \ - - - 0A / 52.15/13.21 [0, 1] ->= [2, 1, 2, 1, 0] 52.15/13.21 lhs rhs ge gt 52.15/13.21 Wk / 4A 6A 6A 6A \ Wk / 4A 6A 6A 6A \ True False 52.15/13.21 | 2A 4A 4A 4A | | 2A 4A 4A 4A | 52.15/13.21 | 2A 4A 4A 4A | | 2A 4A 4A 4A | 52.15/13.21 \ - - - 0A / \ - - - 0A / 52.15/13.21 [1] ->= [0] 52.15/13.21 lhs rhs ge gt 52.15/13.21 Wk / 0A 2A 2A 2A \ Wk / 0A 2A 2A 2A \ True False 52.15/13.21 | 2A 4A 4A 4A | | - 0A 0A - | 52.15/13.21 | - 1A 1A - | | - 0A 0A - | 52.15/13.21 \ - - - 0A / \ - - - 0A / 52.15/13.21 [2, 2] ->= [] 52.15/13.23 lhs rhs ge gt 52.15/13.23 Wk / 4A 2A 1A 3A \ Wk / 0A - - - \ True False 52.15/13.23 | 2A 0A 2A 1A | | - 0A - - | 52.15/13.23 | 2A 0A 2A 1A | | - - 0A - | 52.15/13.23 \ - - - 0A / \ - - - 0A / 52.15/13.23 property Termination 52.15/13.23 has value True 52.15/13.23 for SRS ( [3, 1] |-> [5, 2, 1, 0], [5] |-> [3], [3, 1] |-> [5, 0], [0] ->= [], [0, 1] ->= [2, 1, 2, 1, 0], [1] ->= [0], [2, 2] ->= []) 52.15/13.23 reason 52.15/13.23 EDG has 1 SCCs 52.15/13.23 property Termination 52.15/13.23 has value True 52.15/13.23 for SRS ( [3, 1] |-> [5, 2, 1, 0], [5] |-> [3], [3, 1] |-> [5, 0], [0] ->= [], [0, 1] ->= [2, 1, 2, 1, 0], [1] ->= [0], [2, 2] ->= []) 52.15/13.23 reason 52.15/13.23 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 52.15/13.23 interpretation 52.15/13.23 0 Wk / 0A - 1A - \ 52.15/13.23 | - 0A 5A 2A | 52.15/13.23 | - - 0A - | 52.15/13.23 \ - - - 0A / 52.15/13.23 1 Wk / 0A - 1A - \ 52.15/13.23 | 5A 0A 5A 2A | 52.15/13.23 | 1A - 2A 2A | 52.15/13.23 \ - - - 0A / 52.15/13.23 2 Wk / 1A - 0A - \ 52.15/13.23 | 3A 0A 0A 3A | 52.15/13.23 | 0A - - - | 52.15/13.23 \ - - - 0A / 52.15/13.24 3 Wk / 0A - 4A 0A \ 52.15/13.24 | - - - - | 52.15/13.24 | - - - - | 52.15/13.24 \ - - - 0A / 52.15/13.24 5 Wk / 4A - 5A 2A \ 52.15/13.24 | - - - - | 52.15/13.24 | - - - - | 52.15/13.24 \ - - - 0A / 52.15/13.24 [3, 1] |-> [5, 2, 1, 0] 52.15/13.24 lhs rhs ge gt 52.15/13.24 Wk / 5A - 6A 6A \ Wk / 5A - 6A 6A \ True False 52.15/13.24 | - - - - | | - - - - | 52.15/13.24 | - - - - | | - - - - | 52.15/13.24 \ - - - 0A / \ - - - 0A / 52.15/13.24 [5] |-> [3] 52.15/13.24 lhs rhs ge gt 52.15/13.24 Wk / 4A - 5A 2A \ Wk / 0A - 4A 0A \ True True 52.15/13.24 | - - - - | | - - - - | 52.15/13.24 | - - - - | | - - - - | 52.15/13.24 \ - - - 0A / \ - - - 0A / 52.15/13.24 [3, 1] |-> [5, 0] 52.46/13.25 lhs rhs ge gt 52.46/13.25 Wk / 5A - 6A 6A \ Wk / 4A - 5A 2A \ True True 52.46/13.25 | - - - - | | - - - - | 52.46/13.25 | - - - - | | - - - - | 52.46/13.25 \ - - - 0A / \ - - - 0A / 52.46/13.25 [0] ->= [] 52.46/13.25 lhs rhs ge gt 52.46/13.25 Wk / 0A - 1A - \ Wk / 0A - - - \ True False 52.46/13.25 | - 0A 5A 2A | | - 0A - - | 52.46/13.25 | - - 0A - | | - - 0A - | 52.46/13.25 \ - - - 0A / \ - - - 0A / 52.46/13.25 [0, 1] ->= [2, 1, 2, 1, 0] 52.46/13.25 lhs rhs ge gt 52.46/13.25 Wk / 2A - 3A 3A \ Wk / 2A - 3A 3A \ True False 52.46/13.25 | 6A 0A 7A 7A | | 6A 0A 7A 7A | 52.46/13.25 | 1A - 2A 2A | | 1A - 2A 2A | 52.46/13.25 \ - - - 0A / \ - - - 0A / 52.46/13.25 [1] ->= [0] 52.79/13.34 lhs rhs ge gt 52.79/13.34 Wk / 0A - 1A - \ Wk / 0A - 1A - \ True False 52.79/13.34 | 5A 0A 5A 2A | | - 0A 5A 2A | 52.79/13.34 | 1A - 2A 2A | | - - 0A - | 52.79/13.34 \ - - - 0A / \ - - - 0A / 52.79/13.34 [2, 2] ->= [] 52.79/13.34 lhs rhs ge gt 52.79/13.34 Wk / 2A - 1A - \ Wk / 0A - - - \ True False 52.79/13.34 | 4A 0A 3A 3A | | - 0A - - | 52.79/13.34 | 1A - 0A - | | - - 0A - | 52.79/13.34 \ - - - 0A / \ - - - 0A / 52.79/13.34 property Termination 52.79/13.34 has value True 52.79/13.34 for SRS ( [3, 1] |-> [5, 2, 1, 0], [0] ->= [], [0, 1] ->= [2, 1, 2, 1, 0], [1] ->= [0], [2, 2] ->= []) 52.79/13.34 reason 52.79/13.34 weights 52.79/13.34 Map [(3, 1/1)] 52.79/13.34 52.79/13.34 property Termination 52.79/13.34 has value True 52.79/13.34 for SRS ( [0] ->= [], [0, 1] ->= [2, 1, 2, 1, 0], [1] ->= [0], [2, 2] ->= []) 52.79/13.34 reason 52.79/13.34 EDG has 0 SCCs 52.79/13.34 52.79/13.34 ************************************************** 52.79/13.34 summary 52.79/13.34 ************************************************** 52.79/13.34 SRS with 4 rules on 3 letters Remap { tracing = False} 52.79/13.34 SRS with 4 rules on 3 letters DP transform 52.79/13.34 SRS with 10 rules on 6 letters Remap { tracing = False} 52.79/13.34 SRS with 10 rules on 6 letters weights 52.79/13.34 SRS with 8 rules on 5 letters EDG 52.89/13.36 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 52.89/13.36 SRS with 7 rules on 5 letters EDG 52.89/13.36 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 52.89/13.36 SRS with 5 rules on 5 letters weights 52.89/13.36 SRS with 4 rules on 3 letters EDG 52.89/13.36 52.89/13.36 ************************************************** 52.89/13.36 (4, 3)\Deepee(10, 6)\Weight(8, 5)\Matrix{\Arctic}{4}(7, 5)\Matrix{\Arctic}{4}(5, 5)\Weight(4, 3)\EDG[] 52.89/13.36 ************************************************** 52.89/13.38 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]} 52.89/13.38 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 53.18/13.51 EOF