47.65/12.09 YES 47.65/12.09 property Termination 47.65/12.09 has value True 47.65/12.10 for SRS ( [a, b] -> [], [b, c] -> [a, a], [c, a] -> [b, b, c, c]) 47.65/12.10 reason 47.65/12.10 remap for 3 rules 47.65/12.11 property Termination 47.65/12.11 has value True 47.65/12.11 for SRS ( [0, 1] -> [], [1, 2] -> [0, 0], [2, 0] -> [1, 1, 2, 2]) 47.65/12.11 reason 47.79/12.11 DP transform 47.79/12.11 property Termination 47.79/12.11 has value True 47.87/12.15 for SRS ( [0, 1] ->= [], [1, 2] ->= [0, 0], [2, 0] ->= [1, 1, 2, 2], [1#, 2] |-> [0#, 0], [1#, 2] |-> [0#], [2#, 0] |-> [1#, 1, 2, 2], [2#, 0] |-> [1#, 2, 2], [2#, 0] |-> [2#, 2], [2#, 0] |-> [2#]) 47.87/12.15 reason 47.87/12.15 remap for 9 rules 47.87/12.15 property Termination 47.87/12.15 has value True 47.87/12.15 for SRS ( [0, 1] ->= [], [1, 2] ->= [0, 0], [2, 0] ->= [1, 1, 2, 2], [3, 2] |-> [4, 0], [3, 2] |-> [4], [5, 0] |-> [3, 1, 2, 2], [5, 0] |-> [3, 2, 2], [5, 0] |-> [5, 2], [5, 0] |-> [5]) 47.87/12.15 reason 47.87/12.15 weights 47.87/12.16 Map [(3, 2/1), (5, 3/1)] 47.87/12.16 47.87/12.16 property Termination 47.87/12.16 has value True 47.87/12.16 for SRS ( [0, 1] ->= [], [1, 2] ->= [0, 0], [2, 0] ->= [1, 1, 2, 2], [5, 0] |-> [5, 2], [5, 0] |-> [5]) 47.87/12.16 reason 47.87/12.17 EDG has 1 SCCs 47.87/12.17 property Termination 47.87/12.17 has value True 47.87/12.17 for SRS ( [5, 0] |-> [5, 2], [5, 0] |-> [5], [0, 1] ->= [], [1, 2] ->= [0, 0], [2, 0] ->= [1, 1, 2, 2]) 47.87/12.17 reason 48.21/12.25 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 48.21/12.25 interpretation 48.46/12.33 0 Wk / 1A 0A - 1A \ 48.46/12.33 | 0A - - - | 48.46/12.33 | 0A 0A - - | 48.46/12.33 \ - - - 0A / 48.46/12.33 1 Wk / - 0A 0A 2A \ 48.46/12.33 | 0A - - 1A | 48.46/12.33 | 0A - - 2A | 48.46/12.33 \ - - - 0A / 48.46/12.33 2 Wk / 1A 0A - 0A \ 48.46/12.33 | 2A - - 1A | 48.46/12.33 | 2A 1A - 0A | 48.46/12.33 \ - - - 0A / 48.46/12.33 5 Wk / 6A - - 2A \ 48.46/12.33 | - - - - | 48.46/12.33 | - - - - | 48.46/12.33 \ - - - 0A / 48.46/12.33 [5, 0] |-> [5, 2] 48.46/12.33 lhs rhs ge gt 48.46/12.33 Wk / 7A 6A - 7A \ Wk / 7A 6A - 6A \ True False 48.46/12.33 | - - - - | | - - - - | 48.46/12.33 | - - - - | | - - - - | 48.46/12.33 \ - - - 0A / \ - - - 0A / 48.46/12.33 [5, 0] |-> [5] 48.46/12.35 lhs rhs ge gt 48.46/12.35 Wk / 7A 6A - 7A \ Wk / 6A - - 2A \ True True 48.46/12.35 | - - - - | | - - - - | 48.46/12.35 | - - - - | | - - - - | 48.46/12.35 \ - - - 0A / \ - - - 0A / 48.46/12.35 [0, 1] ->= [] 48.46/12.35 lhs rhs ge gt 48.46/12.35 Wk / 0A 1A 1A 3A \ Wk / 0A - - - \ True False 48.46/12.35 | - 0A 0A 2A | | - 0A - - | 48.46/12.35 | 0A 0A 0A 2A | | - - 0A - | 48.46/12.35 \ - - - 0A / \ - - - 0A / 48.46/12.35 [1, 2] ->= [0, 0] 48.46/12.35 lhs rhs ge gt 48.46/12.35 Wk / 2A 1A - 2A \ Wk / 2A 1A - 2A \ True False 48.46/12.35 | 1A 0A - 1A | | 1A 0A - 1A | 48.46/12.35 | 1A 0A - 2A | | 1A 0A - 1A | 48.46/12.35 \ - - - 0A / \ - - - 0A / 48.46/12.35 [2, 0] ->= [1, 1, 2, 2] 48.77/12.37 lhs rhs ge gt 48.77/12.37 Wk / 2A 1A - 2A \ Wk / 2A 1A - 2A \ True False 48.77/12.37 | 3A 2A - 3A | | 3A 2A - 2A | 48.77/12.37 | 3A 2A - 3A | | 3A 2A - 2A | 48.77/12.37 \ - - - 0A / \ - - - 0A / 48.77/12.37 property Termination 48.77/12.37 has value True 48.77/12.37 for SRS ( [5, 0] |-> [5, 2], [0, 1] ->= [], [1, 2] ->= [0, 0], [2, 0] ->= [1, 1, 2, 2]) 48.77/12.37 reason 48.77/12.37 EDG has 1 SCCs 48.77/12.37 property Termination 48.77/12.37 has value True 48.77/12.37 for SRS ( [5, 0] |-> [5, 2], [0, 1] ->= [], [1, 2] ->= [0, 0], [2, 0] ->= [1, 1, 2, 2]) 48.77/12.37 reason 48.77/12.37 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 48.77/12.37 interpretation 48.77/12.37 0 Wk / 0A - - 0A \ 48.77/12.37 | 2A 3A 0A 2A | 48.77/12.37 | 0A - - - | 48.77/12.37 \ - - - 0A / 48.77/12.37 1 Wk / 0A - 0A 4A \ 48.77/12.37 | - - 2A 3A | 48.77/12.37 | - 0A - 0A | 48.77/12.37 \ - - - 0A / 48.77/12.37 2 Wk / 0A 2A - - \ 48.77/12.37 | 0A 1A - - | 48.77/12.37 | 3A 4A 1A 3A | 48.77/12.37 \ - - - 0A / 48.77/12.37 5 Wk / 0A 0A - 1A \ 48.77/12.37 | - - - - | 48.77/12.37 | - - - - | 48.77/12.37 \ - - - 0A / 48.84/12.39 [5, 0] |-> [5, 2] 48.84/12.39 lhs rhs ge gt 48.84/12.39 Wk / 2A 3A 0A 2A \ Wk / 0A 2A - 1A \ True True 48.84/12.39 | - - - - | | - - - - | 48.84/12.39 | - - - - | | - - - - | 48.84/12.39 \ - - - 0A / \ - - - 0A / 48.84/12.39 [0, 1] ->= [] 48.84/12.39 lhs rhs ge gt 48.84/12.39 Wk / 0A - 0A 4A \ Wk / 0A - - - \ True False 48.84/12.39 | 2A 0A 5A 6A | | - 0A - - | 48.84/12.39 | 0A - 0A 4A | | - - 0A - | 48.84/12.39 \ - - - 0A / \ - - - 0A / 48.84/12.39 [1, 2] ->= [0, 0] 48.84/12.40 lhs rhs ge gt 48.84/12.40 Wk / 3A 4A 1A 4A \ Wk / 0A - - 0A \ True False 48.84/12.40 | 5A 6A 3A 5A | | 5A 6A 3A 5A | 48.84/12.40 | 0A 1A - 0A | | 0A - - 0A | 48.84/12.40 \ - - - 0A / \ - - - 0A / 48.84/12.40 [2, 0] ->= [1, 1, 2, 2] 48.84/12.40 lhs rhs ge gt 48.84/12.40 Wk / 4A 5A 2A 4A \ Wk / 4A 5A 2A 4A \ True False 48.84/12.40 | 3A 4A 1A 3A | | 3A 4A - 3A | 48.84/12.40 | 6A 7A 4A 6A | | 6A 7A 4A 6A | 48.84/12.40 \ - - - 0A / \ - - - 0A / 48.84/12.40 property Termination 48.84/12.40 has value True 48.84/12.40 for SRS ( [0, 1] ->= [], [1, 2] ->= [0, 0], [2, 0] ->= [1, 1, 2, 2]) 48.84/12.40 reason 48.84/12.40 EDG has 0 SCCs 48.84/12.40 48.84/12.40 ************************************************** 48.84/12.40 summary 48.84/12.40 ************************************************** 48.84/12.40 SRS with 3 rules on 3 letters Remap { tracing = False} 48.84/12.40 SRS with 3 rules on 3 letters DP transform 48.84/12.40 SRS with 9 rules on 6 letters Remap { tracing = False} 48.84/12.40 SRS with 9 rules on 6 letters weights 48.84/12.40 SRS with 5 rules on 4 letters EDG 48.84/12.40 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 48.84/12.40 SRS with 4 rules on 4 letters EDG 48.84/12.40 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 48.84/12.40 SRS with 3 rules on 3 letters EDG 48.84/12.40 48.84/12.40 ************************************************** 48.84/12.40 (3, 3)\Deepee(9, 6)\Weight(5, 4)\Matrix{\Arctic}{4}(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 48.84/12.40 ************************************************** 49.09/12.46 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]} 49.09/12.46 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 49.37/12.57 EOF