43.32/10.96 YES 43.32/10.96 property Termination 43.32/10.96 has value True 43.32/10.96 for SRS ( [a, a, a] -> [a, c, a, a], [c, c, c] -> [a], [a] -> []) 43.32/10.96 reason 43.32/10.96 remap for 3 rules 43.32/10.96 property Termination 43.32/10.96 has value True 43.32/10.96 for SRS ( [0, 0, 0] -> [0, 1, 0, 0], [1, 1, 1] -> [0], [0] -> []) 43.32/10.96 reason 43.32/10.96 DP transform 43.32/10.96 property Termination 43.32/10.96 has value True 43.32/10.96 for SRS ( [0, 0, 0] ->= [0, 1, 0, 0], [1, 1, 1] ->= [0], [0] ->= [], [0#, 0, 0] |-> [0#, 1, 0, 0], [0#, 0, 0] |-> [1#, 0, 0], [1#, 1, 1] |-> [0#]) 43.32/10.96 reason 43.32/10.96 remap for 6 rules 43.32/10.96 property Termination 43.32/10.96 has value True 43.32/10.96 for SRS ( [0, 0, 0] ->= [0, 1, 0, 0], [1, 1, 1] ->= [0], [0] ->= [], [2, 0, 0] |-> [2, 1, 0, 0], [2, 0, 0] |-> [3, 0, 0], [3, 1, 1] |-> [2]) 43.32/10.96 reason 43.32/10.96 EDG has 1 SCCs 43.32/10.96 property Termination 43.32/10.96 has value True 43.32/10.96 for SRS ( [2, 0, 0] |-> [2, 1, 0, 0], [2, 0, 0] |-> [3, 0, 0], [3, 1, 1] |-> [2], [0, 0, 0] ->= [0, 1, 0, 0], [1, 1, 1] ->= [0], [0] ->= []) 43.32/10.96 reason 43.32/10.96 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 43.32/10.96 interpretation 43.32/10.96 0 / 2A 2A \ 43.32/10.96 \ 0A 0A / 43.32/10.96 1 / 0A 2A \ 43.32/10.96 \ 0A 2A / 43.32/10.96 2 / 21A 21A \ 43.32/10.96 \ 21A 21A / 43.32/10.96 3 / 17A 19A \ 43.32/10.96 \ 17A 19A / 43.32/10.96 [2, 0, 0] |-> [2, 1, 0, 0] 43.32/10.96 lhs rhs ge gt 43.32/10.96 / 25A 25A \ / 25A 25A \ True False 43.32/10.96 \ 25A 25A / \ 25A 25A / 43.32/10.96 [2, 0, 0] |-> [3, 0, 0] 43.32/10.96 lhs rhs ge gt 43.32/10.96 / 25A 25A \ / 21A 21A \ True True 43.32/10.96 \ 25A 25A / \ 21A 21A / 43.32/10.96 [3, 1, 1] |-> [2] 43.32/10.96 lhs rhs ge gt 43.32/10.96 / 21A 23A \ / 21A 21A \ True False 43.32/10.96 \ 21A 23A / \ 21A 21A / 43.32/10.96 [0, 0, 0] ->= [0, 1, 0, 0] 43.32/10.96 lhs rhs ge gt 43.32/10.96 / 6A 6A \ / 6A 6A \ True False 43.32/10.96 \ 4A 4A / \ 4A 4A / 43.32/10.96 [1, 1, 1] ->= [0] 43.32/10.96 lhs rhs ge gt 43.32/10.96 / 4A 6A \ / 2A 2A \ True True 43.32/10.96 \ 4A 6A / \ 0A 0A / 43.32/10.96 [0] ->= [] 43.32/10.96 lhs rhs ge gt 43.32/10.96 / 2A 2A \ / 0A - \ True False 43.32/10.96 \ 0A 0A / \ - 0A / 43.32/10.96 property Termination 43.32/10.96 has value True 43.32/10.96 for SRS ( [2, 0, 0] |-> [2, 1, 0, 0], [3, 1, 1] |-> [2], [0, 0, 0] ->= [0, 1, 0, 0], [1, 1, 1] ->= [0], [0] ->= []) 43.32/10.96 reason 43.32/10.96 weights 43.32/10.96 Map [(3, 1/1)] 43.32/10.96 43.32/10.96 property Termination 43.32/10.96 has value True 43.46/10.97 for SRS ( [2, 0, 0] |-> [2, 1, 0, 0], [0, 0, 0] ->= [0, 1, 0, 0], [1, 1, 1] ->= [0], [0] ->= []) 43.46/10.97 reason 43.46/10.97 EDG has 1 SCCs 43.46/10.97 property Termination 43.46/10.97 has value True 43.46/10.97 for SRS ( [2, 0, 0] |-> [2, 1, 0, 0], [0, 0, 0] ->= [0, 1, 0, 0], [1, 1, 1] ->= [0], [0] ->= []) 43.46/10.97 reason 43.46/10.97 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 43.46/10.97 interpretation 43.46/10.97 0 Wk / 0A 3A 4A 6A \ 43.46/10.97 | - 0A 0A - | 43.46/10.97 | - 0A 1A 0A | 43.46/10.97 \ - - - 0A / 43.46/10.97 1 Wk / 0A - 4A 6A \ 43.46/10.97 | - 1A 0A 1A | 43.46/10.97 | - 0A - - | 43.46/10.97 \ - - - 0A / 43.46/10.97 2 Wk / - - 4A 2A \ 43.46/10.97 | - - - - | 43.46/10.97 | - - - - | 43.46/10.97 \ - - - 0A / 43.46/10.97 [2, 0, 0] |-> [2, 1, 0, 0] 43.46/10.99 lhs rhs ge gt 43.46/10.99 Wk / - 5A 6A 5A \ Wk / - 4A 5A 4A \ True True 43.46/10.99 | - - - - | | - - - - | 43.46/10.99 | - - - - | | - - - - | 43.46/10.99 \ - - - 0A / \ - - - 0A / 43.46/10.99 [0, 0, 0] ->= [0, 1, 0, 0] 43.46/10.99 lhs rhs ge gt 43.46/10.99 Wk / 0A 5A 6A 6A \ Wk / 0A 5A 6A 6A \ True False 43.46/10.99 | - 1A 2A 1A | | - 1A 2A 1A | 43.46/10.99 | - 2A 3A 2A | | - 1A 2A 1A | 43.46/10.99 \ - - - 0A / \ - - - 0A / 43.46/10.99 [1, 1, 1] ->= [0] 43.46/10.99 lhs rhs ge gt 43.46/10.99 Wk / 0A 5A 4A 6A \ Wk / 0A 3A 4A 6A \ True False 43.46/10.99 | - 3A 2A 3A | | - 0A 0A - | 43.46/10.99 | - 2A 1A 2A | | - 0A 1A 0A | 43.46/10.99 \ - - - 0A / \ - - - 0A / 43.46/10.99 [0] ->= [] 43.46/10.99 lhs rhs ge gt 43.46/10.99 Wk / 0A 3A 4A 6A \ Wk / 0A - - - \ True False 43.46/10.99 | - 0A 0A - | | - 0A - - | 43.46/10.99 | - 0A 1A 0A | | - - 0A - | 43.46/10.99 \ - - - 0A / \ - - - 0A / 43.46/10.99 property Termination 43.46/10.99 has value True 43.46/10.99 for SRS ( [0, 0, 0] ->= [0, 1, 0, 0], [1, 1, 1] ->= [0], [0] ->= []) 43.46/10.99 reason 43.46/10.99 EDG has 0 SCCs 43.46/10.99 43.46/10.99 ************************************************** 43.46/10.99 summary 43.46/10.99 ************************************************** 43.46/10.99 SRS with 3 rules on 2 letters Remap { tracing = False} 43.46/10.99 SRS with 3 rules on 2 letters DP transform 43.46/10.99 SRS with 6 rules on 4 letters Remap { tracing = False} 43.46/10.99 SRS with 6 rules on 4 letters EDG 43.46/10.99 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 43.46/10.99 SRS with 5 rules on 4 letters weights 43.46/10.99 SRS with 4 rules on 3 letters EDG 43.46/10.99 SRS with 4 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 43.46/10.99 SRS with 3 rules on 2 letters EDG 43.46/10.99 43.46/10.99 ************************************************** 43.46/10.99 (3, 2)\Deepee(6, 4)\Matrix{\Arctic}{2}(5, 4)\Weight(4, 3)\Matrix{\Arctic}{4}(3, 2)\EDG[] 43.46/10.99 ************************************************** 43.46/11.02 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]} 43.46/11.02 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 43.83/11.15 EOF