97.61/24.67 YES 97.61/24.67 property Termination 97.61/24.67 has value True 97.61/24.67 for SRS ( [a] -> [], [a] -> [b], [a, b] -> [b, c], [c, c] -> [a, c, a]) 97.61/24.67 reason 97.61/24.67 remap for 4 rules 97.61/24.67 property Termination 97.61/24.67 has value True 97.61/24.69 for SRS ( [0] -> [], [0] -> [1], [0, 1] -> [1, 2], [2, 2] -> [0, 2, 0]) 97.61/24.69 reason 97.61/24.69 DP transform 97.61/24.69 property Termination 97.61/24.69 has value True 98.24/24.82 for SRS ( [0] ->= [], [0] ->= [1], [0, 1] ->= [1, 2], [2, 2] ->= [0, 2, 0], [0#, 1] |-> [2#], [2#, 2] |-> [0#, 2, 0], [2#, 2] |-> [2#, 0], [2#, 2] |-> [0#]) 98.24/24.82 reason 98.24/24.83 remap for 8 rules 98.24/24.83 property Termination 98.24/24.85 has value True 98.49/24.89 for SRS ( [0] ->= [], [0] ->= [1], [0, 1] ->= [1, 2], [2, 2] ->= [0, 2, 0], [3, 1] |-> [4], [4, 2] |-> [3, 2, 0], [4, 2] |-> [4, 0], [4, 2] |-> [3]) 98.49/24.89 reason 98.49/24.90 EDG has 1 SCCs 98.49/24.90 property Termination 98.49/24.90 has value True 98.49/24.93 for SRS ( [3, 1] |-> [4], [4, 2] |-> [3], [4, 2] |-> [4, 0], [4, 2] |-> [3, 2, 0], [0] ->= [], [0] ->= [1], [0, 1] ->= [1, 2], [2, 2] ->= [0, 2, 0]) 98.49/24.93 reason 98.49/24.95 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 98.49/24.95 interpretation 98.84/24.97 0 Wk / 0A 0A - 0A \ 98.84/24.97 | - 0A 0A 0A | 98.84/24.97 | 1A 2A 3A 4A | 98.84/24.97 \ - - - 0A / 98.84/24.99 1 Wk / - - - 0A \ 98.84/24.99 | - - - 0A | 98.84/24.99 | 1A 2A 0A 4A | 98.84/24.99 \ - - - 0A / 98.96/25.00 2 Wk / 3A 3A 2A - \ 98.96/25.00 | 2A 3A 1A 4A | 98.96/25.00 | 4A 3A 0A 4A | 98.96/25.00 \ - - - 0A / 98.96/25.00 3 Wk / 0A 0A 2A 2A \ 98.96/25.00 | - - - - | 98.96/25.00 | - - - - | 98.96/25.00 \ - - - 0A / 98.96/25.00 4 Wk / 3A - - 6A \ 98.96/25.00 | - - - - | 98.96/25.00 | - - - - | 98.96/25.00 \ - - - 0A / 98.96/25.00 [3, 1] |-> [4] 98.96/25.00 lhs rhs ge gt 98.96/25.00 Wk / 3A 4A 2A 6A \ Wk / 3A - - 6A \ True False 98.96/25.00 | - - - - | | - - - - | 98.96/25.00 | - - - - | | - - - - | 98.96/25.00 \ - - - 0A / \ - - - 0A / 98.96/25.00 [4, 2] |-> [3] 98.96/25.01 lhs rhs ge gt 98.96/25.01 Wk / 6A 6A 5A 6A \ Wk / 0A 0A 2A 2A \ True True 98.96/25.01 | - - - - | | - - - - | 98.96/25.01 | - - - - | | - - - - | 98.96/25.01 \ - - - 0A / \ - - - 0A / 98.96/25.01 [4, 2] |-> [4, 0] 98.96/25.01 lhs rhs ge gt 98.96/25.01 Wk / 6A 6A 5A 6A \ Wk / 3A 3A - 6A \ True False 98.96/25.01 | - - - - | | - - - - | 98.96/25.01 | - - - - | | - - - - | 98.96/25.01 \ - - - 0A / \ - - - 0A / 98.96/25.01 [4, 2] |-> [3, 2, 0] 98.96/25.01 lhs rhs ge gt 98.96/25.01 Wk / 6A 6A 5A 6A \ Wk / 6A 6A 5A 6A \ True False 98.96/25.01 | - - - - | | - - - - | 98.96/25.01 | - - - - | | - - - - | 98.96/25.01 \ - - - 0A / \ - - - 0A / 98.96/25.01 [0] ->= [] 98.96/25.01 lhs rhs ge gt 98.96/25.01 Wk / 0A 0A - 0A \ Wk / 0A - - - \ True False 98.96/25.01 | - 0A 0A 0A | | - 0A - - | 98.96/25.01 | 1A 2A 3A 4A | | - - 0A - | 98.96/25.01 \ - - - 0A / \ - - - 0A / 98.96/25.01 [0] ->= [1] 98.96/25.01 lhs rhs ge gt 98.96/25.01 Wk / 0A 0A - 0A \ Wk / - - - 0A \ True False 98.96/25.01 | - 0A 0A 0A | | - - - 0A | 98.96/25.01 | 1A 2A 3A 4A | | 1A 2A 0A 4A | 98.96/25.01 \ - - - 0A / \ - - - 0A / 98.96/25.01 [0, 1] ->= [1, 2] 98.96/25.01 lhs rhs ge gt 98.96/25.01 Wk / - - - 0A \ Wk / - - - 0A \ True False 98.96/25.01 | 1A 2A 0A 4A | | - - - 0A | 98.96/25.01 | 4A 5A 3A 7A | | 4A 5A 3A 6A | 98.96/25.01 \ - - - 0A / \ - - - 0A / 98.96/25.01 [2, 2] ->= [0, 2, 0] 98.96/25.01 lhs rhs ge gt 98.96/25.01 Wk / 6A 6A 5A 7A \ Wk / 3A 4A 5A 6A \ True False 98.96/25.01 | 5A 6A 4A 7A | | 4A 4A 4A 5A | 98.96/25.01 | 7A 7A 6A 7A | | 7A 7A 6A 7A | 98.96/25.01 \ - - - 0A / \ - - - 0A / 98.96/25.01 property Termination 98.96/25.01 has value True 98.96/25.02 for SRS ( [3, 1] |-> [4], [4, 2] |-> [4, 0], [4, 2] |-> [3, 2, 0], [0] ->= [], [0] ->= [1], [0, 1] ->= [1, 2], [2, 2] ->= [0, 2, 0]) 98.96/25.02 reason 98.96/25.02 EDG has 1 SCCs 98.96/25.02 property Termination 98.96/25.02 has value True 98.96/25.02 for SRS ( [3, 1] |-> [4], [4, 2] |-> [3, 2, 0], [4, 2] |-> [4, 0], [0] ->= [], [0] ->= [1], [0, 1] ->= [1, 2], [2, 2] ->= [0, 2, 0]) 98.96/25.02 reason 98.96/25.02 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 98.96/25.02 interpretation 98.96/25.02 0 Wk / 2A 1A - 2A \ 98.96/25.02 | - 0A - - | 98.96/25.02 | 2A 1A 3A 3A | 98.96/25.02 \ - - - 0A / 98.96/25.02 1 Wk / - - - 2A \ 98.96/25.02 | - - - - | 98.96/25.02 | 0A 1A 0A 3A | 98.96/25.02 \ - - - 0A / 98.96/25.02 2 Wk / - 4A - 5A \ 98.96/25.02 | 2A 3A 2A 3A | 98.96/25.02 | 1A 4A 0A 0A | 98.96/25.02 \ - - - 0A / 98.96/25.02 3 Wk / 0A - 0A - \ 98.96/25.02 | - - - - | 98.96/25.02 | - - - - | 98.96/25.02 \ - - - 0A / 98.96/25.02 4 Wk / 0A 1A - 3A \ 98.96/25.02 | - - - - | 98.96/25.02 | - - - - | 98.96/25.02 \ - - - 0A / 98.96/25.02 [3, 1] |-> [4] 98.96/25.02 lhs rhs ge gt 98.96/25.02 Wk / 0A 1A 0A 3A \ Wk / 0A 1A - 3A \ True False 98.96/25.02 | - - - - | | - - - - | 98.96/25.02 | - - - - | | - - - - | 98.96/25.02 \ - - - 0A / \ - - - 0A / 98.96/25.02 [4, 2] |-> [3, 2, 0] 98.96/25.02 lhs rhs ge gt 98.96/25.02 Wk / 3A 4A 3A 5A \ Wk / 3A 4A 3A 5A \ True False 98.96/25.02 | - - - - | | - - - - | 98.96/25.02 | - - - - | | - - - - | 98.96/25.02 \ - - - 0A / \ - - - 0A / 98.96/25.02 [4, 2] |-> [4, 0] 98.96/25.02 lhs rhs ge gt 98.96/25.02 Wk / 3A 4A 3A 5A \ Wk / 2A 1A - 3A \ True True 98.96/25.02 | - - - - | | - - - - | 98.96/25.02 | - - - - | | - - - - | 98.96/25.02 \ - - - 0A / \ - - - 0A / 98.96/25.02 [0] ->= [] 98.96/25.02 lhs rhs ge gt 98.96/25.02 Wk / 2A 1A - 2A \ Wk / 0A - - - \ True False 98.96/25.02 | - 0A - - | | - 0A - - | 98.96/25.02 | 2A 1A 3A 3A | | - - 0A - | 98.96/25.02 \ - - - 0A / \ - - - 0A / 98.96/25.02 [0] ->= [1] 98.96/25.02 lhs rhs ge gt 98.96/25.02 Wk / 2A 1A - 2A \ Wk / - - - 2A \ True False 98.96/25.02 | - 0A - - | | - - - - | 98.96/25.02 | 2A 1A 3A 3A | | 0A 1A 0A 3A | 98.96/25.02 \ - - - 0A / \ - - - 0A / 99.10/25.03 [0, 1] ->= [1, 2] 99.10/25.03 lhs rhs ge gt 99.10/25.03 Wk / - - - 4A \ Wk / - - - 2A \ True False 99.10/25.03 | - - - - | | - - - - | 99.10/25.03 | 3A 4A 3A 6A | | 3A 4A 3A 5A | 99.10/25.03 \ - - - 0A / \ - - - 0A / 99.10/25.03 [2, 2] ->= [0, 2, 0] 99.10/25.03 lhs rhs ge gt 99.10/25.03 Wk / 6A 7A 6A 7A \ Wk / 5A 6A 6A 7A \ True False 99.10/25.03 | 5A 6A 5A 7A | | 4A 3A 5A 5A | 99.10/25.03 | 6A 7A 6A 7A | | 6A 7A 6A 7A | 99.10/25.03 \ - - - 0A / \ - - - 0A / 99.10/25.03 property Termination 99.10/25.03 has value True 99.10/25.03 for SRS ( [3, 1] |-> [4], [4, 2] |-> [3, 2, 0], [0] ->= [], [0] ->= [1], [0, 1] ->= [1, 2], [2, 2] ->= [0, 2, 0]) 99.10/25.03 reason 99.10/25.03 EDG has 1 SCCs 99.10/25.03 property Termination 99.10/25.03 has value True 99.10/25.03 for SRS ( [3, 1] |-> [4], [4, 2] |-> [3, 2, 0], [0] ->= [], [0] ->= [1], [0, 1] ->= [1, 2], [2, 2] ->= [0, 2, 0]) 99.10/25.03 reason 99.10/25.03 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 99.10/25.03 interpretation 99.10/25.03 0 Wk / 1A 0A - 2A \ 99.10/25.03 | - 0A - - | 99.10/25.03 | 3A 2A 0A - | 99.10/25.03 \ - - - 0A / 99.10/25.03 1 Wk / 1A 0A - 2A \ 99.10/25.03 | - - - - | 99.10/25.03 | - 2A 0A - | 99.10/25.03 \ - - - 0A / 99.10/25.03 2 Wk / - 0A - 0A \ 99.10/25.03 | - 1A - 2A | 99.10/25.03 | - 2A - 0A | 99.10/25.03 \ - - - 0A / 99.10/25.03 3 Wk / 0A - 1A 2A \ 99.10/25.03 | - - - - | 99.10/25.03 | - - - - | 99.10/25.03 \ - - - 0A / 99.10/25.03 4 Wk / - 2A 0A 1A \ 99.10/25.03 | - - - - | 99.10/25.03 | - - - - | 99.10/25.03 \ - - - 0A / 99.10/25.03 [3, 1] |-> [4] 99.10/25.03 lhs rhs ge gt 99.10/25.03 Wk / 1A 3A 1A 2A \ Wk / - 2A 0A 1A \ True True 99.10/25.03 | - - - - | | - - - - | 99.10/25.03 | - - - - | | - - - - | 99.10/25.03 \ - - - 0A / \ - - - 0A / 99.10/25.03 [4, 2] |-> [3, 2, 0] 99.11/25.04 lhs rhs ge gt 99.11/25.04 Wk / - 3A - 4A \ Wk / - 3A - 2A \ True False 99.11/25.04 | - - - - | | - - - - | 99.11/25.04 | - - - - | | - - - - | 99.11/25.04 \ - - - 0A / \ - - - 0A / 99.11/25.04 [0] ->= [] 99.11/25.04 lhs rhs ge gt 99.11/25.04 Wk / 1A 0A - 2A \ Wk / 0A - - - \ True False 99.11/25.04 | - 0A - - | | - 0A - - | 99.11/25.04 | 3A 2A 0A - | | - - 0A - | 99.11/25.04 \ - - - 0A / \ - - - 0A / 99.11/25.04 [0] ->= [1] 99.11/25.04 lhs rhs ge gt 99.11/25.04 Wk / 1A 0A - 2A \ Wk / 1A 0A - 2A \ True False 99.11/25.04 | - 0A - - | | - - - - | 99.11/25.05 | 3A 2A 0A - | | - 2A 0A - | 99.11/25.05 \ - - - 0A / \ - - - 0A / 99.11/25.05 [0, 1] ->= [1, 2] 99.11/25.05 lhs rhs ge gt 99.11/25.05 Wk / 2A 1A - 3A \ Wk / - 1A - 2A \ True False 99.11/25.05 | - - - - | | - - - - | 99.11/25.05 | 4A 3A 0A 5A | | - 3A - 4A | 99.11/25.05 \ - - - 0A / \ - - - 0A / 99.11/25.05 [2, 2] ->= [0, 2, 0] 99.11/25.05 lhs rhs ge gt 99.11/25.05 Wk / - 1A - 2A \ Wk / - 1A - 2A \ True False 99.11/25.05 | - 2A - 3A | | - 1A - 2A | 99.11/25.05 | - 3A - 4A | | - 3A - 4A | 99.11/25.05 \ - - - 0A / \ - - - 0A / 99.11/25.05 property Termination 99.11/25.05 has value True 99.11/25.05 for SRS ( [4, 2] |-> [3, 2, 0], [0] ->= [], [0] ->= [1], [0, 1] ->= [1, 2], [2, 2] ->= [0, 2, 0]) 99.11/25.05 reason 99.11/25.05 weights 99.11/25.05 Map [(4, 1/1)] 99.11/25.05 99.11/25.05 property Termination 99.11/25.05 has value True 99.11/25.05 for SRS ( [0] ->= [], [0] ->= [1], [0, 1] ->= [1, 2], [2, 2] ->= [0, 2, 0]) 99.11/25.05 reason 99.11/25.05 EDG has 0 SCCs 99.11/25.05 99.11/25.05 ************************************************** 99.11/25.05 summary 99.11/25.05 ************************************************** 99.11/25.05 SRS with 4 rules on 3 letters Remap { tracing = False} 99.11/25.05 SRS with 4 rules on 3 letters DP transform 99.11/25.06 SRS with 8 rules on 5 letters Remap { tracing = False} 99.11/25.06 SRS with 8 rules on 5 letters EDG 99.11/25.06 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 99.11/25.06 SRS with 7 rules on 5 letters EDG 99.11/25.06 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 99.11/25.06 SRS with 6 rules on 5 letters EDG 99.11/25.06 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 99.11/25.06 SRS with 5 rules on 5 letters weights 99.11/25.06 SRS with 4 rules on 3 letters EDG 99.11/25.06 99.11/25.06 ************************************************** 99.11/25.06 (4, 3)\Deepee(8, 5)\Matrix{\Arctic}{4}(7, 5)\Matrix{\Arctic}{4}(6, 5)\Matrix{\Arctic}{4}(5, 5)\Weight(4, 3)\EDG[] 99.11/25.06 ************************************************** 99.38/25.11 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]} 99.38/25.11 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 100.05/25.31 EOF