41.84/10.59 YES 41.84/10.59 property Termination 41.84/10.59 has value True 41.84/10.59 for SRS ( [a] -> [], [a, b] -> [c, a, a, c], [b] -> [], [c, c] -> [b, b]) 41.84/10.59 reason 41.84/10.59 remap for 4 rules 41.84/10.59 property Termination 41.84/10.59 has value True 41.84/10.59 for SRS ( [0] -> [], [0, 1] -> [2, 0, 0, 2], [1] -> [], [2, 2] -> [1, 1]) 41.84/10.59 reason 41.84/10.59 DP transform 41.84/10.59 property Termination 41.84/10.59 has value True 41.84/10.59 for SRS ( [0] ->= [], [0, 1] ->= [2, 0, 0, 2], [1] ->= [], [2, 2] ->= [1, 1], [0#, 1] |-> [2#, 0, 0, 2], [0#, 1] |-> [0#, 0, 2], [0#, 1] |-> [0#, 2], [0#, 1] |-> [2#], [2#, 2] |-> [1#, 1], [2#, 2] |-> [1#]) 41.84/10.59 reason 41.84/10.59 remap for 10 rules 41.84/10.59 property Termination 41.84/10.59 has value True 41.84/10.59 for SRS ( [0] ->= [], [0, 1] ->= [2, 0, 0, 2], [1] ->= [], [2, 2] ->= [1, 1], [3, 1] |-> [4, 0, 0, 2], [3, 1] |-> [3, 0, 2], [3, 1] |-> [3, 2], [3, 1] |-> [4], [4, 2] |-> [5, 1], [4, 2] |-> [5]) 41.84/10.59 reason 41.84/10.59 weights 41.84/10.59 Map [(3, 3/1), (4, 2/1)] 41.84/10.59 41.84/10.59 property Termination 41.84/10.59 has value True 41.84/10.59 for SRS ( [0] ->= [], [0, 1] ->= [2, 0, 0, 2], [1] ->= [], [2, 2] ->= [1, 1], [3, 1] |-> [3, 0, 2], [3, 1] |-> [3, 2]) 41.84/10.59 reason 41.84/10.59 EDG has 1 SCCs 41.84/10.59 property Termination 41.84/10.59 has value True 41.84/10.59 for SRS ( [3, 1] |-> [3, 0, 2], [3, 1] |-> [3, 2], [0] ->= [], [0, 1] ->= [2, 0, 0, 2], [1] ->= [], [2, 2] ->= [1, 1]) 41.84/10.59 reason 41.84/10.59 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 41.84/10.59 interpretation 41.84/10.60 0 Wk / 0A 2A 1A - \ 41.84/10.60 | - 0A 0A 1A | 41.84/10.60 | - 0A 0A - | 41.84/10.60 \ - - - 0A / 41.84/10.60 1 Wk / 0A 1A - 1A \ 41.84/10.60 | - 0A - - | 41.84/10.60 | 2A 4A 0A 3A | 41.84/10.60 \ - - - 0A / 41.84/10.60 2 Wk / - 3A 0A 3A \ 41.84/10.60 | 0A 2A - 0A | 41.84/10.60 | 0A 2A - 0A | 41.84/10.60 \ - - - 0A / 41.84/10.60 3 Wk / - - 0A 0A \ 41.84/10.60 | - - - - | 41.84/10.60 | - 3A 3A 4A | 41.84/10.60 \ - - - 0A / 41.84/10.60 [3, 1] |-> [3, 0, 2] 41.84/10.60 lhs rhs ge gt 41.84/10.60 Wk / 2A 4A 0A 3A \ Wk / 0A 2A - 0A \ True True 41.84/10.60 | - - - - | | - - - - | 41.84/10.60 | 5A 7A 3A 6A | | 3A 5A - 4A | 41.84/10.60 \ - - - 0A / \ - - - 0A / 41.84/10.60 [3, 1] |-> [3, 2] 41.84/10.61 lhs rhs ge gt 41.84/10.61 Wk / 2A 4A 0A 3A \ Wk / 0A 2A - 0A \ True True 41.84/10.61 | - - - - | | - - - - | 41.84/10.61 | 5A 7A 3A 6A | | 3A 5A - 4A | 41.84/10.61 \ - - - 0A / \ - - - 0A / 41.84/10.61 [0] ->= [] 41.84/10.61 lhs rhs ge gt 41.84/10.61 Wk / 0A 2A 1A - \ Wk / 0A - - - \ True False 41.84/10.61 | - 0A 0A 1A | | - 0A - - | 41.84/10.61 | - 0A 0A - | | - - 0A - | 41.84/10.61 \ - - - 0A / \ - - - 0A / 41.84/10.61 [0, 1] ->= [2, 0, 0, 2] 41.84/10.61 lhs rhs ge gt 41.84/10.61 Wk / 3A 5A 1A 4A \ Wk / 3A 5A - 4A \ True False 41.84/10.61 | 2A 4A 0A 3A | | 2A 4A 0A 3A | 41.84/10.61 | 2A 4A 0A 3A | | 2A 4A 0A 3A | 41.84/10.61 \ - - - 0A / \ - - - 0A / 41.84/10.61 [1] ->= [] 42.03/10.62 lhs rhs ge gt 42.03/10.62 Wk / 0A 1A - 1A \ Wk / 0A - - - \ True False 42.03/10.62 | - 0A - - | | - 0A - - | 42.03/10.62 | 2A 4A 0A 3A | | - - 0A - | 42.03/10.62 \ - - - 0A / \ - - - 0A / 42.03/10.62 [2, 2] ->= [1, 1] 42.03/10.62 lhs rhs ge gt 42.03/10.62 Wk / 3A 5A - 3A \ Wk / 0A 1A - 1A \ True False 42.03/10.62 | 2A 4A 0A 3A | | - 0A - - | 42.03/10.62 | 2A 4A 0A 3A | | 2A 4A 0A 3A | 42.03/10.62 \ - - - 0A / \ - - - 0A / 42.03/10.62 property Termination 42.03/10.62 has value True 42.03/10.62 for SRS ( [0] ->= [], [0, 1] ->= [2, 0, 0, 2], [1] ->= [], [2, 2] ->= [1, 1]) 42.03/10.62 reason 42.03/10.62 EDG has 0 SCCs 42.03/10.62 42.03/10.62 ************************************************** 42.03/10.62 summary 42.03/10.62 ************************************************** 42.03/10.62 SRS with 4 rules on 3 letters Remap { tracing = False} 42.03/10.62 SRS with 4 rules on 3 letters DP transform 42.03/10.62 SRS with 10 rules on 6 letters Remap { tracing = False} 42.03/10.62 SRS with 10 rules on 6 letters weights 42.03/10.62 SRS with 6 rules on 4 letters EDG 42.03/10.62 SRS with 6 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 42.03/10.62 SRS with 4 rules on 3 letters EDG 42.03/10.62 42.03/10.62 ************************************************** 42.03/10.63 (4, 3)\Deepee(10, 6)\Weight(6, 4)\Matrix{\Arctic}{4}(4, 3)\EDG[] 42.03/10.63 ************************************************** 42.14/10.71 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]} 42.14/10.71 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 42.46/10.84 EOF