79.22/20.01 YES 79.53/20.18 property Termination 79.53/20.18 has value True 79.53/20.18 for SRS ( [a] -> [], [a, a] -> [a, b, c, a, b], [c, b] -> [a, c]) 79.53/20.18 reason 79.53/20.18 remap for 3 rules 79.53/20.18 property Termination 79.53/20.18 has value True 79.53/20.18 for SRS ( [0] -> [], [0, 0] -> [0, 1, 2, 0, 1], [2, 1] -> [0, 2]) 79.53/20.18 reason 79.53/20.18 DP transform 79.53/20.18 property Termination 79.53/20.18 has value True 79.53/20.18 for SRS ( [0] ->= [], [0, 0] ->= [0, 1, 2, 0, 1], [2, 1] ->= [0, 2], [0#, 0] |-> [0#, 1, 2, 0, 1], [0#, 0] |-> [2#, 0, 1], [0#, 0] |-> [0#, 1], [2#, 1] |-> [0#, 2], [2#, 1] |-> [2#]) 79.53/20.18 reason 79.53/20.18 remap for 8 rules 79.53/20.18 property Termination 79.53/20.18 has value True 79.53/20.18 for SRS ( [0] ->= [], [0, 0] ->= [0, 1, 2, 0, 1], [2, 1] ->= [0, 2], [3, 0] |-> [3, 1, 2, 0, 1], [3, 0] |-> [4, 0, 1], [3, 0] |-> [3, 1], [4, 1] |-> [3, 2], [4, 1] |-> [4]) 79.53/20.18 reason 79.53/20.18 EDG has 1 SCCs 79.53/20.18 property Termination 79.53/20.18 has value True 79.53/20.18 for SRS ( [4, 1] |-> [3, 2], [3, 0] |-> [4, 0, 1], [4, 1] |-> [4], [0] ->= [], [0, 0] ->= [0, 1, 2, 0, 1], [2, 1] ->= [0, 2]) 79.53/20.18 reason 79.53/20.18 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 79.53/20.18 interpretation 79.53/20.18 0 Wk / 0A - 0A 0A \ 79.53/20.18 | - 0A 0A 0A | 79.53/20.18 | 3A 3A 3A 4A | 79.53/20.18 \ - - - 0A / 79.53/20.18 1 Wk / 3A 3A - 4A \ 79.53/20.18 | 0A 0A 0A 0A | 79.53/20.18 | - - 0A - | 79.53/20.18 \ - - - 0A / 79.53/20.18 2 Wk / - 0A - 0A \ 79.53/20.18 | - 0A - 1A | 79.53/20.18 | 0A 0A - 0A | 79.53/20.18 \ - - - 0A / 79.53/20.18 3 Wk / 2A 6A 3A 5A \ 79.53/20.18 | - - - - | 79.53/20.18 | 3A - 3A 4A | 79.53/20.18 \ - - - 0A / 79.53/20.18 4 Wk / 3A 4A 0A 5A \ 79.53/20.18 | - - - - | 79.53/20.18 | 2A 0A - 3A | 79.53/20.18 \ - - - 0A / 79.53/20.18 [4, 1] |-> [3, 2] 79.53/20.18 lhs rhs ge gt 79.53/20.18 Wk / 6A 6A 4A 7A \ Wk / 3A 6A - 7A \ True False 79.53/20.18 | - - - - | | - - - - | 79.53/20.18 | 5A 5A 0A 6A | | 3A 3A - 4A | 79.53/20.18 \ - - - 0A / \ - - - 0A / 79.53/20.18 [3, 0] |-> [4, 0, 1] 79.53/20.18 lhs rhs ge gt 79.53/20.18 Wk / 6A 6A 6A 7A \ Wk / 6A 6A 4A 7A \ True False 79.53/20.18 | - - - - | | - - - - | 79.53/20.18 | 6A 6A 6A 7A | | 5A 5A 2A 6A | 79.53/20.18 \ - - - 0A / \ - - - 0A / 79.53/20.18 [4, 1] |-> [4] 79.53/20.18 lhs rhs ge gt 79.53/20.18 Wk / 6A 6A 4A 7A \ Wk / 3A 4A 0A 5A \ True True 79.53/20.18 | - - - - | | - - - - | 79.53/20.18 | 5A 5A 0A 6A | | 2A 0A - 3A | 79.53/20.18 \ - - - 0A / \ - - - 0A / 79.53/20.18 [0] ->= [] 79.53/20.18 lhs rhs ge gt 79.53/20.18 Wk / 0A - 0A 0A \ Wk / 0A - - - \ True False 79.53/20.18 | - 0A 0A 0A | | - 0A - - | 79.53/20.18 | 3A 3A 3A 4A | | - - 0A - | 79.53/20.18 \ - - - 0A / \ - - - 0A / 79.53/20.18 [0, 0] ->= [0, 1, 2, 0, 1] 79.53/20.18 lhs rhs ge gt 79.53/20.18 Wk / 3A 3A 3A 4A \ Wk / 3A 3A 3A 4A \ True False 79.53/20.18 | 3A 3A 3A 4A | | 3A 3A 0A 4A | 79.53/20.18 | 6A 6A 6A 7A | | 6A 6A 6A 7A | 79.53/20.18 \ - - - 0A / \ - - - 0A / 79.53/20.18 [2, 1] ->= [0, 2] 79.53/20.18 lhs rhs ge gt 79.53/20.18 Wk / 0A 0A 0A 0A \ Wk / 0A 0A - 0A \ True False 79.53/20.18 | 0A 0A 0A 1A | | 0A 0A - 1A | 79.53/20.18 | 3A 3A 0A 4A | | 3A 3A - 4A | 79.53/20.18 \ - - - 0A / \ - - - 0A / 79.53/20.18 property Termination 79.53/20.18 has value True 79.53/20.18 for SRS ( [4, 1] |-> [3, 2], [3, 0] |-> [4, 0, 1], [0] ->= [], [0, 0] ->= [0, 1, 2, 0, 1], [2, 1] ->= [0, 2]) 79.53/20.18 reason 79.53/20.18 EDG has 1 SCCs 79.53/20.18 property Termination 79.53/20.18 has value True 79.53/20.18 for SRS ( [4, 1] |-> [3, 2], [3, 0] |-> [4, 0, 1], [0] ->= [], [0, 0] ->= [0, 1, 2, 0, 1], [2, 1] ->= [0, 2]) 79.53/20.18 reason 79.53/20.18 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 79.53/20.18 interpretation 79.53/20.18 0 Wk / 0A 0A - - \ 79.53/20.18 | 3A 3A 3A 3A | 79.53/20.18 | 0A 0A 0A 0A | 79.53/20.18 \ - - - 0A / 79.81/20.19 1 Wk / 0A - 0A 0A \ 79.81/20.20 | 0A - 0A - | 79.81/20.20 | 3A - 3A 3A | 79.81/20.20 \ - - - 0A / 79.81/20.20 2 Wk / 0A - - 0A \ 79.81/20.20 | - - 0A 0A | 79.81/20.20 | 0A - - - | 79.81/20.20 \ - - - 0A / 79.81/20.20 3 Wk / 2A 2A - - \ 79.81/20.20 | 1A 1A - - | 79.81/20.20 | - - - - | 79.81/20.20 \ - - - 0A / 79.81/20.20 4 Wk / 4A - - 5A \ 79.81/20.20 | - - 0A 4A | 79.81/20.20 | - - - - | 79.81/20.20 \ - - - 0A / 79.81/20.20 [4, 1] |-> [3, 2] 79.81/20.20 lhs rhs ge gt 79.81/20.20 Wk / 4A - 4A 5A \ Wk / 2A - 2A 2A \ True True 79.81/20.20 | 3A - 3A 4A | | 1A - 1A 1A | 79.81/20.20 | - - - - | | - - - - | 79.81/20.20 \ - - - 0A / \ - - - 0A / 79.81/20.20 [3, 0] |-> [4, 0, 1] 79.81/20.21 lhs rhs ge gt 79.81/20.21 Wk / 5A 5A 5A 5A \ Wk / 4A - 4A 5A \ True False 79.81/20.21 | 4A 4A 4A 4A | | 3A - 3A 4A | 79.81/20.21 | - - - - | | - - - - | 79.81/20.21 \ - - - 0A / \ - - - 0A / 79.81/20.21 [0] ->= [] 79.81/20.27 lhs rhs ge gt 79.81/20.27 Wk / 0A 0A - - \ Wk / 0A - - - \ True False 79.81/20.27 | 3A 3A 3A 3A | | - 0A - - | 79.81/20.27 | 0A 0A 0A 0A | | - - 0A - | 79.81/20.27 \ - - - 0A / \ - - - 0A / 79.81/20.27 [0, 0] ->= [0, 1, 2, 0, 1] 80.17/20.28 lhs rhs ge gt 80.17/20.28 Wk / 3A 3A 3A 3A \ Wk / 0A - 0A 0A \ True False 80.17/20.28 | 6A 6A 6A 6A | | 6A - 6A 6A | 80.17/20.28 | 3A 3A 3A 3A | | 3A - 3A 3A | 80.17/20.28 \ - - - 0A / \ - - - 0A / 80.17/20.28 [2, 1] ->= [0, 2] 80.21/20.29 lhs rhs ge gt 80.21/20.29 Wk / 0A - 0A 0A \ Wk / 0A - 0A 0A \ True False 80.21/20.30 | 3A - 3A 3A | | 3A - 3A 3A | 80.21/20.30 | 0A - 0A 0A | | 0A - 0A 0A | 80.21/20.30 \ - - - 0A / \ - - - 0A / 80.21/20.30 property Termination 80.21/20.30 has value True 80.21/20.30 for SRS ( [3, 0] |-> [4, 0, 1], [0] ->= [], [0, 0] ->= [0, 1, 2, 0, 1], [2, 1] ->= [0, 2]) 80.21/20.30 reason 80.21/20.30 weights 80.21/20.30 Map [(3, 1/1)] 80.21/20.30 80.21/20.30 property Termination 80.21/20.30 has value True 80.21/20.30 for SRS ( [0] ->= [], [0, 0] ->= [0, 1, 2, 0, 1], [2, 1] ->= [0, 2]) 80.21/20.30 reason 80.21/20.30 EDG has 0 SCCs 80.21/20.30 80.21/20.30 ************************************************** 80.21/20.30 summary 80.21/20.30 ************************************************** 80.21/20.30 SRS with 3 rules on 3 letters Remap { tracing = False} 80.21/20.31 SRS with 3 rules on 3 letters DP transform 80.21/20.31 SRS with 8 rules on 5 letters Remap { tracing = False} 80.21/20.31 SRS with 8 rules on 5 letters EDG 80.30/20.32 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 80.66/20.45 SRS with 5 rules on 5 letters EDG 80.98/20.57 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 80.98/20.57 SRS with 4 rules on 5 letters weights 80.98/20.57 SRS with 3 rules on 3 letters EDG 80.98/20.57 80.98/20.57 ************************************************** 80.98/20.57 (3, 3)\Deepee(8, 5)\EDG(6, 5)\Matrix{\Arctic}{4}(5, 5)\Matrix{\Arctic}{4}(4, 5)\Weight(3, 3)\EDG[] 80.98/20.57 ************************************************** 83.76/21.19 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]} 83.76/21.19 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 84.45/21.39 EOF