30.98/7.87 YES 30.98/7.87 property Termination 30.98/7.87 has value True 30.98/7.87 for SRS ( [a] -> [], [a] -> [b, b], [a, b] -> [a, c, a, c], [c, c] -> []) 30.98/7.87 reason 30.98/7.87 remap for 4 rules 30.98/7.87 property Termination 30.98/7.87 has value True 30.98/7.87 for SRS ( [0] -> [], [0] -> [1, 1], [0, 1] -> [0, 2, 0, 2], [2, 2] -> []) 30.98/7.87 reason 30.98/7.87 reverse each lhs and rhs 30.98/7.87 property Termination 30.98/7.87 has value True 30.98/7.87 for SRS ( [0] -> [], [0] -> [1, 1], [1, 0] -> [2, 0, 2, 0], [2, 2] -> []) 30.98/7.87 reason 30.98/7.87 DP transform 30.98/7.87 property Termination 30.98/7.87 has value True 30.98/7.87 for SRS ( [0] ->= [], [0] ->= [1, 1], [1, 0] ->= [2, 0, 2, 0], [2, 2] ->= [], [0#] |-> [1#, 1], [0#] |-> [1#], [1#, 0] |-> [2#, 0, 2, 0], [1#, 0] |-> [0#, 2, 0], [1#, 0] |-> [2#, 0]) 30.98/7.87 reason 30.98/7.87 remap for 9 rules 30.98/7.87 property Termination 30.98/7.87 has value True 30.98/7.87 for SRS ( [0] ->= [], [0] ->= [1, 1], [1, 0] ->= [2, 0, 2, 0], [2, 2] ->= [], [3] |-> [4, 1], [3] |-> [4], [4, 0] |-> [5, 0, 2, 0], [4, 0] |-> [3, 2, 0], [4, 0] |-> [5, 0]) 30.98/7.87 reason 30.98/7.87 weights 30.98/7.87 Map [(3, 1/2), (4, 1/2)] 30.98/7.87 30.98/7.87 property Termination 30.98/7.87 has value True 30.98/7.87 for SRS ( [0] ->= [], [0] ->= [1, 1], [1, 0] ->= [2, 0, 2, 0], [2, 2] ->= [], [3] |-> [4, 1], [3] |-> [4], [4, 0] |-> [3, 2, 0]) 30.98/7.87 reason 30.98/7.87 EDG has 1 SCCs 30.98/7.87 property Termination 30.98/7.87 has value True 30.98/7.87 for SRS ( [3] |-> [4, 1], [4, 0] |-> [3, 2, 0], [3] |-> [4], [0] ->= [], [0] ->= [1, 1], [1, 0] ->= [2, 0, 2, 0], [2, 2] ->= []) 30.98/7.87 reason 30.98/7.87 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 30.98/7.87 interpretation 30.98/7.87 0 Wk / 0A 1A - 0A \ 30.98/7.87 | 1A 2A 0A 2A | 30.98/7.87 | - 3A 0A 2A | 30.98/7.87 \ - - - 0A / 30.98/7.87 1 Wk / - 1A - 0A \ 30.98/7.87 | - 0A - - | 30.98/7.87 | 2A 2A - 2A | 30.98/7.87 \ - - - 0A / 30.98/7.87 2 Wk / - 0A - 2A \ 30.98/7.87 | 0A - - - | 30.98/7.87 | 2A 0A 0A 2A | 30.98/7.87 \ - - - 0A / 30.98/7.87 3 Wk / 0A 1A - 1A \ 30.98/7.87 | - - - - | 30.98/7.87 | 3A 4A 1A 4A | 30.98/7.87 \ - - - 0A / 30.98/7.87 4 Wk / 0A 1A - 0A \ 30.98/7.87 | - - - - | 30.98/7.87 | 1A 4A - - | 30.98/7.87 \ - - - 0A / 30.98/7.87 [3] |-> [4, 1] 30.98/7.87 lhs rhs ge gt 30.98/7.87 Wk / 0A 1A - 1A \ Wk / - 1A - 0A \ True False 30.98/7.87 | - - - - | | - - - - | 30.98/7.87 | 3A 4A 1A 4A | | - 4A - 1A | 30.98/7.87 \ - - - 0A / \ - - - 0A / 30.98/7.87 [4, 0] |-> [3, 2, 0] 30.98/7.87 lhs rhs ge gt 30.98/7.87 Wk / 2A 3A 1A 3A \ Wk / 1A 2A 0A 2A \ True True 30.98/7.87 | - - - - | | - - - - | 30.98/7.87 | 5A 6A 4A 6A | | 4A 5A 3A 5A | 30.98/7.87 \ - - - 0A / \ - - - 0A / 30.98/7.87 [3] |-> [4] 30.98/7.87 lhs rhs ge gt 30.98/7.87 Wk / 0A 1A - 1A \ Wk / 0A 1A - 0A \ True False 30.98/7.87 | - - - - | | - - - - | 30.98/7.87 | 3A 4A 1A 4A | | 1A 4A - - | 30.98/7.87 \ - - - 0A / \ - - - 0A / 30.98/7.87 [0] ->= [] 30.98/7.87 lhs rhs ge gt 30.98/7.87 Wk / 0A 1A - 0A \ Wk / 0A - - - \ True False 30.98/7.87 | 1A 2A 0A 2A | | - 0A - - | 30.98/7.88 | - 3A 0A 2A | | - - 0A - | 30.98/7.88 \ - - - 0A / \ - - - 0A / 30.98/7.88 [0] ->= [1, 1] 30.98/7.88 lhs rhs ge gt 30.98/7.88 Wk / 0A 1A - 0A \ Wk / - 1A - 0A \ True False 30.98/7.88 | 1A 2A 0A 2A | | - 0A - - | 30.98/7.88 | - 3A 0A 2A | | - 3A - 2A | 30.98/7.88 \ - - - 0A / \ - - - 0A / 30.98/7.88 [1, 0] ->= [2, 0, 2, 0] 30.98/7.88 lhs rhs ge gt 30.98/7.88 Wk / 2A 3A 1A 3A \ Wk / 2A 3A 1A 3A \ True False 30.98/7.88 | 1A 2A 0A 2A | | 1A 2A 0A 2A | 30.98/7.88 | 3A 4A 2A 4A | | 3A 4A 2A 4A | 30.98/7.88 \ - - - 0A / \ - - - 0A / 30.98/7.88 [2, 2] ->= [] 30.98/7.88 lhs rhs ge gt 30.98/7.88 Wk / 0A - - 2A \ Wk / 0A - - - \ True False 30.98/7.88 | - 0A - 2A | | - 0A - - | 30.98/7.88 | 2A 2A 0A 4A | | - - 0A - | 30.98/7.88 \ - - - 0A / \ - - - 0A / 30.98/7.88 property Termination 30.98/7.88 has value True 30.98/7.88 for SRS ( [3] |-> [4, 1], [3] |-> [4], [0] ->= [], [0] ->= [1, 1], [1, 0] ->= [2, 0, 2, 0], [2, 2] ->= []) 30.98/7.88 reason 30.98/7.88 weights 30.98/7.88 Map [(3, 2/1)] 30.98/7.88 30.98/7.88 property Termination 30.98/7.88 has value True 30.98/7.88 for SRS ( [0] ->= [], [0] ->= [1, 1], [1, 0] ->= [2, 0, 2, 0], [2, 2] ->= []) 30.98/7.88 reason 30.98/7.88 EDG has 0 SCCs 30.98/7.88 30.98/7.88 ************************************************** 30.98/7.88 summary 30.98/7.88 ************************************************** 30.98/7.88 SRS with 4 rules on 3 letters Remap { tracing = False} 30.98/7.88 SRS with 4 rules on 3 letters reverse each lhs and rhs 30.98/7.88 SRS with 4 rules on 3 letters DP transform 30.98/7.88 SRS with 9 rules on 6 letters Remap { tracing = False} 30.98/7.88 SRS with 9 rules on 6 letters weights 30.98/7.88 SRS with 7 rules on 5 letters EDG 30.98/7.88 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 30.98/7.88 SRS with 6 rules on 5 letters weights 30.98/7.88 SRS with 4 rules on 3 letters EDG 30.98/7.88 30.98/7.88 ************************************************** 30.98/7.88 (4, 3)\Deepee(9, 6)\Weight(7, 5)\Matrix{\Arctic}{4}(6, 5)\Weight(4, 3)\EDG[] 30.98/7.88 ************************************************** 30.98/7.89 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]} 30.98/7.89 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 31.33/7.97 EOF