94.92/24.02 YES 94.92/24.02 property Termination 94.92/24.02 has value True 94.92/24.02 for SRS ( [a] -> [], [a, a, b, b] -> [b, b, a, a, b, a]) 94.92/24.02 reason 94.92/24.02 remap for 2 rules 94.92/24.02 property Termination 94.92/24.02 has value True 94.92/24.02 for SRS ( [0] -> [], [0, 0, 1, 1] -> [1, 1, 0, 0, 1, 0]) 94.92/24.02 reason 94.92/24.02 reverse each lhs and rhs 94.92/24.02 property Termination 94.92/24.02 has value True 94.92/24.02 for SRS ( [0] -> [], [1, 1, 0, 0] -> [0, 1, 0, 0, 1, 1]) 94.92/24.02 reason 94.92/24.02 DP transform 94.92/24.02 property Termination 94.92/24.02 has value True 94.92/24.02 for SRS ( [0] ->= [], [1, 1, 0, 0] ->= [0, 1, 0, 0, 1, 1], [1#, 1, 0, 0] |-> [0#, 1, 0, 0, 1, 1], [1#, 1, 0, 0] |-> [1#, 0, 0, 1, 1], [1#, 1, 0, 0] |-> [0#, 0, 1, 1], [1#, 1, 0, 0] |-> [0#, 1, 1], [1#, 1, 0, 0] |-> [1#, 1], [1#, 1, 0, 0] |-> [1#]) 94.92/24.02 reason 94.92/24.02 remap for 8 rules 94.92/24.02 property Termination 94.92/24.02 has value True 94.92/24.02 for SRS ( [0] ->= [], [1, 1, 0, 0] ->= [0, 1, 0, 0, 1, 1], [2, 1, 0, 0] |-> [3, 1, 0, 0, 1, 1], [2, 1, 0, 0] |-> [2, 0, 0, 1, 1], [2, 1, 0, 0] |-> [3, 0, 1, 1], [2, 1, 0, 0] |-> [3, 1, 1], [2, 1, 0, 0] |-> [2, 1], [2, 1, 0, 0] |-> [2]) 94.92/24.02 reason 94.92/24.02 weights 94.92/24.02 Map [(2, 3/1)] 94.92/24.02 94.92/24.02 property Termination 94.92/24.02 has value True 94.92/24.02 for SRS ( [0] ->= [], [1, 1, 0, 0] ->= [0, 1, 0, 0, 1, 1], [2, 1, 0, 0] |-> [2, 0, 0, 1, 1], [2, 1, 0, 0] |-> [2, 1], [2, 1, 0, 0] |-> [2]) 94.92/24.02 reason 94.92/24.02 EDG has 1 SCCs 94.92/24.02 property Termination 94.92/24.02 has value True 94.92/24.02 for SRS ( [2, 1, 0, 0] |-> [2, 0, 0, 1, 1], [2, 1, 0, 0] |-> [2], [2, 1, 0, 0] |-> [2, 1], [0] ->= [], [1, 1, 0, 0] ->= [0, 1, 0, 0, 1, 1]) 94.92/24.02 reason 95.19/24.03 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 95.19/24.03 interpretation 95.19/24.03 0 Wk / 0A - 0A - \ 95.19/24.03 | 0A 0A 6A 5A | 95.19/24.03 | 0A 0A 0A - | 95.19/24.03 \ - - - 0A / 95.19/24.03 1 Wk / 0A 0A 0A - \ 95.19/24.03 | 0A - 0A - | 95.19/24.03 | 0A - - - | 95.19/24.03 \ - - - 0A / 95.19/24.03 2 Wk / 1A 0A 1A 1A \ 95.19/24.03 | 0A 0A 0A 4A | 95.19/24.03 | - - - - | 95.19/24.03 \ - - - 0A / 95.19/24.03 [2, 1, 0, 0] |-> [2, 0, 0, 1, 1] 95.19/24.03 lhs rhs ge gt 95.19/24.03 Wk / 7A 7A 7A 6A \ Wk / 7A 7A 7A 6A \ True False 95.19/24.03 | 6A 6A 6A 5A | | 6A 6A 6A 5A | 95.19/24.03 | - - - - | | - - - - | 95.19/24.03 \ - - - 0A / \ - - - 0A / 95.19/24.03 [2, 1, 0, 0] |-> [2] 95.19/24.04 lhs rhs ge gt 95.19/24.04 Wk / 7A 7A 7A 6A \ Wk / 1A 0A 1A 1A \ True True 95.19/24.04 | 6A 6A 6A 5A | | 0A 0A 0A 4A | 95.19/24.04 | - - - - | | - - - - | 95.19/24.04 \ - - - 0A / \ - - - 0A / 95.19/24.04 [2, 1, 0, 0] |-> [2, 1] 95.19/24.04 lhs rhs ge gt 95.19/24.04 Wk / 7A 7A 7A 6A \ Wk / 1A 1A 1A 1A \ True True 95.19/24.04 | 6A 6A 6A 5A | | 0A 0A 0A 4A | 95.19/24.04 | - - - - | | - - - - | 95.19/24.04 \ - - - 0A / \ - - - 0A / 95.19/24.04 [0] ->= [] 95.19/24.04 lhs rhs ge gt 95.19/24.04 Wk / 0A - 0A - \ Wk / 0A - - - \ True False 95.19/24.04 | 0A 0A 6A 5A | | - 0A - - | 95.19/24.04 | 0A 0A 0A - | | - - 0A - | 95.19/24.04 \ - - - 0A / \ - - - 0A / 95.19/24.04 [1, 1, 0, 0] ->= [0, 1, 0, 0, 1, 1] 95.19/24.06 lhs rhs ge gt 95.19/24.06 Wk / 6A 6A 6A 5A \ Wk / 6A 6A 6A 5A \ True False 95.19/24.06 | 6A 6A 6A 5A | | 6A 6A 6A 5A | 95.19/24.06 | 6A 6A 6A 5A | | 6A 6A 6A 5A | 95.19/24.06 \ - - - 0A / \ - - - 0A / 95.19/24.06 property Termination 95.19/24.06 has value True 95.19/24.06 for SRS ( [2, 1, 0, 0] |-> [2, 0, 0, 1, 1], [0] ->= [], [1, 1, 0, 0] ->= [0, 1, 0, 0, 1, 1]) 95.19/24.06 reason 95.19/24.06 EDG has 1 SCCs 95.19/24.06 property Termination 95.19/24.06 has value True 95.19/24.06 for SRS ( [2, 1, 0, 0] |-> [2, 0, 0, 1, 1], [0] ->= [], [1, 1, 0, 0] ->= [0, 1, 0, 0, 1, 1]) 95.19/24.06 reason 95.19/24.06 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 95.19/24.06 interpretation 95.19/24.06 0 Wk / 0A 2A - 5A \ 95.19/24.06 | 2A 0A 0A - | 95.19/24.06 | - 0A 0A - | 95.19/24.06 \ - - - 0A / 95.19/24.06 1 Wk / 0A - - 0A \ 95.19/24.06 | - - 0A 3A | 95.19/24.06 | 2A 0A - 1A | 95.19/24.06 \ - - - 0A / 95.19/24.06 2 Wk / - - 0A 4A \ 95.19/24.06 | - - - - | 95.19/24.06 | - - - - | 95.19/24.06 \ - - - 0A / 95.19/24.06 [2, 1, 0, 0] |-> [2, 0, 0, 1, 1] 95.32/24.07 lhs rhs ge gt 95.32/24.07 Wk / 6A 4A 4A 7A \ Wk / 2A 0A 0A 4A \ True True 95.32/24.07 | - - - - | | - - - - | 95.32/24.07 | - - - - | | - - - - | 95.32/24.07 \ - - - 0A / \ - - - 0A / 95.32/24.07 [0] ->= [] 95.32/24.07 lhs rhs ge gt 95.32/24.07 Wk / 0A 2A - 5A \ Wk / 0A - - - \ True False 95.32/24.07 | 2A 0A 0A - | | - 0A - - | 95.32/24.07 | - 0A 0A - | | - - 0A - | 95.32/24.07 \ - - - 0A / \ - - - 0A / 95.32/24.07 [1, 1, 0, 0] ->= [0, 1, 0, 0, 1, 1] 95.32/24.07 lhs rhs ge gt 95.32/24.07 Wk / 4A 2A 2A 5A \ Wk / 4A 2A 2A 5A \ True False 95.32/24.07 | 6A 4A 4A 7A | | 6A 4A 4A 7A | 95.32/24.07 | 6A 4A 4A 7A | | 6A 4A 4A 7A | 95.32/24.07 \ - - - 0A / \ - - - 0A / 95.32/24.08 property Termination 95.32/24.08 has value True 95.32/24.08 for SRS ( [0] ->= [], [1, 1, 0, 0] ->= [0, 1, 0, 0, 1, 1]) 95.32/24.08 reason 95.32/24.08 EDG has 0 SCCs 95.32/24.08 95.32/24.08 ************************************************** 95.32/24.08 summary 95.32/24.08 ************************************************** 95.32/24.08 SRS with 2 rules on 2 letters Remap { tracing = False} 95.32/24.08 SRS with 2 rules on 2 letters reverse each lhs and rhs 95.32/24.08 SRS with 2 rules on 2 letters DP transform 95.32/24.08 SRS with 8 rules on 4 letters Remap { tracing = False} 95.32/24.08 SRS with 8 rules on 4 letters weights 95.32/24.08 SRS with 5 rules on 3 letters EDG 95.32/24.08 SRS with 5 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 95.32/24.08 SRS with 3 rules on 3 letters EDG 95.32/24.08 SRS with 3 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 95.32/24.08 SRS with 2 rules on 2 letters EDG 95.32/24.08 95.32/24.08 ************************************************** 95.32/24.08 (2, 2)\Deepee(8, 4)\Weight(5, 3)\Matrix{\Arctic}{4}(3, 3)\Matrix{\Arctic}{4}(2, 2)\EDG[] 95.32/24.08 ************************************************** 96.15/24.28 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]} 96.15/24.28 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 96.90/24.49 EOF