43.09/10.92 YES 43.09/10.92 property Termination 43.09/10.92 has value True 43.09/10.92 for SRS ( [a] -> [], [a, b] -> [b, a, a, c], [b] -> [], [c, c, a] -> [b]) 43.09/10.92 reason 43.09/10.92 remap for 4 rules 43.09/10.92 property Termination 43.09/10.92 has value True 43.09/10.93 for SRS ( [0] -> [], [0, 1] -> [1, 0, 0, 2], [1] -> [], [2, 2, 0] -> [1]) 43.09/10.93 reason 43.09/10.93 reverse each lhs and rhs 43.09/10.93 property Termination 43.09/10.93 has value True 43.09/10.93 for SRS ( [0] -> [], [1, 0] -> [2, 0, 0, 1], [1] -> [], [0, 2, 2] -> [1]) 43.09/10.93 reason 43.09/10.93 DP transform 43.09/10.93 property Termination 43.09/10.93 has value True 43.09/10.94 for SRS ( [0] ->= [], [1, 0] ->= [2, 0, 0, 1], [1] ->= [], [0, 2, 2] ->= [1], [1#, 0] |-> [0#, 0, 1], [1#, 0] |-> [0#, 1], [1#, 0] |-> [1#], [0#, 2, 2] |-> [1#]) 43.09/10.94 reason 43.09/10.94 remap for 8 rules 43.09/10.94 property Termination 43.09/10.94 has value True 43.09/10.95 for SRS ( [0] ->= [], [1, 0] ->= [2, 0, 0, 1], [1] ->= [], [0, 2, 2] ->= [1], [3, 0] |-> [4, 0, 1], [3, 0] |-> [4, 1], [3, 0] |-> [3], [4, 2, 2] |-> [3]) 43.09/10.95 reason 43.09/10.95 EDG has 1 SCCs 43.09/10.95 property Termination 43.09/10.95 has value True 43.09/10.96 for SRS ( [3, 0] |-> [4, 0, 1], [4, 2, 2] |-> [3], [3, 0] |-> [3], [3, 0] |-> [4, 1], [0] ->= [], [1, 0] ->= [2, 0, 0, 1], [1] ->= [], [0, 2, 2] ->= [1]) 43.09/10.96 reason 43.09/10.98 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 43.09/10.98 interpretation 43.09/10.99 0 Wk / 0A 3A 5A 7A \ 43.09/10.99 | - 2A 0A 1A | 43.09/10.99 | - - 0A - | 43.09/10.99 \ - - - 0A / 43.09/10.99 1 Wk / 0A 5A - - \ 43.09/10.99 | - 0A - - | 43.09/10.99 | - 2A 0A - | 43.09/10.99 \ - - - 0A / 43.09/10.99 2 Wk / 0A 2A 5A - \ 43.09/10.99 | - - - - | 43.09/11.00 | - 0A 2A 3A | 43.09/11.00 \ - - - 0A / 43.81/11.13 3 Wk / - 2A 5A 5A \ 43.81/11.14 | - - - - | 43.81/11.18 | - - - - | 44.23/11.22 \ - - - 0A / 44.23/11.22 4 Wk / - 1A 1A 4A \ 44.23/11.22 | - - - - | 44.23/11.22 | - - - - | 44.23/11.22 \ - - - 0A / 44.23/11.22 [3, 0] |-> [4, 0, 1] 44.23/11.23 lhs rhs ge gt 44.23/11.23 Wk / - 4A 5A 5A \ Wk / - 3A 1A 4A \ True True 44.23/11.23 | - - - - | | - - - - | 44.23/11.23 | - - - - | | - - - - | 44.23/11.23 \ - - - 0A / \ - - - 0A / 44.23/11.23 [4, 2, 2] |-> [3] 44.23/11.23 lhs rhs ge gt 44.23/11.23 Wk / - 3A 5A 6A \ Wk / - 2A 5A 5A \ True False 44.23/11.23 | - - - - | | - - - - | 44.23/11.23 | - - - - | | - - - - | 44.23/11.23 \ - - - 0A / \ - - - 0A / 44.23/11.23 [3, 0] |-> [3] 44.23/11.23 lhs rhs ge gt 44.23/11.23 Wk / - 4A 5A 5A \ Wk / - 2A 5A 5A \ True False 44.23/11.23 | - - - - | | - - - - | 44.23/11.23 | - - - - | | - - - - | 44.23/11.23 \ - - - 0A / \ - - - 0A / 44.23/11.23 [3, 0] |-> [4, 1] 44.23/11.23 lhs rhs ge gt 44.23/11.23 Wk / - 4A 5A 5A \ Wk / - 3A 1A 4A \ True True 44.23/11.23 | - - - - | | - - - - | 44.23/11.23 | - - - - | | - - - - | 44.23/11.23 \ - - - 0A / \ - - - 0A / 44.23/11.23 [0] ->= [] 44.23/11.26 lhs rhs ge gt 44.23/11.26 Wk / 0A 3A 5A 7A \ Wk / 0A - - - \ True False 44.23/11.26 | - 2A 0A 1A | | - 0A - - | 44.23/11.26 | - - 0A - | | - - 0A - | 44.23/11.26 \ - - - 0A / \ - - - 0A / 44.23/11.26 [1, 0] ->= [2, 0, 0, 1] 44.23/11.26 lhs rhs ge gt 44.23/11.26 Wk / 0A 7A 5A 7A \ Wk / 0A 7A 5A 7A \ True False 44.23/11.26 | - 2A 0A 1A | | - - - - | 44.23/11.26 | - 4A 2A 3A | | - 4A 2A 3A | 44.23/11.26 \ - - - 0A / \ - - - 0A / 44.23/11.26 [1] ->= [] 44.23/11.26 lhs rhs ge gt 44.23/11.26 Wk / 0A 5A - - \ Wk / 0A - - - \ True False 44.23/11.26 | - 0A - - | | - 0A - - | 44.23/11.26 | - 2A 0A - | | - - 0A - | 44.23/11.26 \ - - - 0A / \ - - - 0A / 44.23/11.26 [0, 2, 2] ->= [1] 44.23/11.26 lhs rhs ge gt 44.23/11.26 Wk / 0A 7A 9A 10A \ Wk / 0A 5A - - \ True False 44.23/11.26 | - 2A 4A 5A | | - 0A - - | 44.23/11.26 | - 2A 4A 5A | | - 2A 0A - | 44.23/11.26 \ - - - 0A / \ - - - 0A / 44.23/11.26 property Termination 44.23/11.26 has value True 44.23/11.26 for SRS ( [4, 2, 2] |-> [3], [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [2, 0, 0, 1], [1] ->= [], [0, 2, 2] ->= [1]) 44.23/11.26 reason 44.23/11.26 weights 44.23/11.26 Map [(4, 1/1)] 44.23/11.26 44.23/11.26 property Termination 44.23/11.26 has value True 44.23/11.26 for SRS ( [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [2, 0, 0, 1], [1] ->= [], [0, 2, 2] ->= [1]) 44.23/11.26 reason 44.23/11.26 EDG has 1 SCCs 44.23/11.26 property Termination 44.23/11.26 has value True 44.23/11.26 for SRS ( [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [2, 0, 0, 1], [1] ->= [], [0, 2, 2] ->= [1]) 44.23/11.26 reason 44.23/11.26 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 44.23/11.26 interpretation 44.23/11.26 0 Wk / 2A 3A 0A 4A \ 44.23/11.26 | 2A 3A - 3A | 44.23/11.26 | 0A 0A 0A - | 44.23/11.26 \ - - - 0A / 44.23/11.26 1 Wk / 0A 1A - - \ 44.23/11.26 | - 0A - 0A | 44.23/11.26 | 3A 4A 0A - | 44.23/11.26 \ - - - 0A / 44.23/11.26 2 Wk / - - 0A 4A \ 44.23/11.26 | - - - 2A | 44.23/11.26 | 1A 1A 3A 2A | 44.23/11.26 \ - - - 0A / 44.23/11.26 3 Wk / 0A - - - \ 44.23/11.26 | - - - - | 44.23/11.26 | - - - - | 44.23/11.26 \ - - - 0A / 44.23/11.26 [3, 0] |-> [3] 44.23/11.26 lhs rhs ge gt 44.23/11.26 Wk / 2A 3A 0A 4A \ Wk / 0A - - - \ True True 44.23/11.26 | - - - - | | - - - - | 44.23/11.26 | - - - - | | - - - - | 44.23/11.26 \ - - - 0A / \ - - - 0A / 44.23/11.26 [0] ->= [] 44.23/11.26 lhs rhs ge gt 44.23/11.26 Wk / 2A 3A 0A 4A \ Wk / 0A - - - \ True False 44.23/11.26 | 2A 3A - 3A | | - 0A - - | 44.23/11.26 | 0A 0A 0A - | | - - 0A - | 44.23/11.26 \ - - - 0A / \ - - - 0A / 44.23/11.26 [1, 0] ->= [2, 0, 0, 1] 44.23/11.28 lhs rhs ge gt 44.23/11.28 Wk / 3A 4A 0A 4A \ Wk / 3A 4A 0A 4A \ True False 44.23/11.28 | 2A 3A - 3A | | - - - 2A | 44.23/11.28 | 6A 7A 3A 7A | | 6A 7A 3A 7A | 44.23/11.28 \ - - - 0A / \ - - - 0A / 44.23/11.28 [1] ->= [] 44.23/11.28 lhs rhs ge gt 44.23/11.28 Wk / 0A 1A - - \ Wk / 0A - - - \ True False 44.23/11.28 | - 0A - 0A | | - 0A - - | 44.23/11.28 | 3A 4A 0A - | | - - 0A - | 44.23/11.28 \ - - - 0A / \ - - - 0A / 44.23/11.28 [0, 2, 2] ->= [1] 44.23/11.28 lhs rhs ge gt 44.23/11.28 Wk / 4A 4A 6A 6A \ Wk / 0A 1A - - \ True False 44.23/11.28 | 3A 3A 5A 6A | | - 0A - 0A | 44.23/11.28 | 4A 4A 6A 5A | | 3A 4A 0A - | 44.23/11.28 \ - - - 0A / \ - - - 0A / 44.23/11.28 property Termination 44.23/11.28 has value True 44.23/11.28 for SRS ( [0] ->= [], [1, 0] ->= [2, 0, 0, 1], [1] ->= [], [0, 2, 2] ->= [1]) 44.23/11.28 reason 44.23/11.28 EDG has 0 SCCs 44.23/11.28 44.23/11.28 ************************************************** 44.23/11.28 summary 44.23/11.28 ************************************************** 44.23/11.28 SRS with 4 rules on 3 letters Remap { tracing = False} 44.23/11.28 SRS with 4 rules on 3 letters reverse each lhs and rhs 44.23/11.28 SRS with 4 rules on 3 letters DP transform 44.23/11.28 SRS with 8 rules on 5 letters Remap { tracing = False} 44.23/11.28 SRS with 8 rules on 5 letters EDG 44.23/11.28 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 44.23/11.28 SRS with 6 rules on 5 letters weights 44.23/11.28 SRS with 5 rules on 4 letters EDG 44.23/11.28 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 44.23/11.28 SRS with 4 rules on 3 letters EDG 44.23/11.28 44.23/11.28 ************************************************** 44.23/11.28 (4, 3)\Deepee(8, 5)\Matrix{\Arctic}{4}(6, 5)\Weight(5, 4)\Matrix{\Arctic}{4}(4, 3)\EDG[] 44.23/11.28 ************************************************** 44.61/11.33 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]} 44.61/11.33 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 44.91/11.41 EOF