41.08/10.40 YES 41.08/10.40 property Termination 41.08/10.40 has value True 41.08/10.40 for SRS ( [a, b] -> [b, c, a], [b, c] -> [c, b, b], [a, c] -> [c, a, b]) 41.08/10.40 reason 41.08/10.40 remap for 3 rules 41.08/10.40 property Termination 41.08/10.40 has value True 41.08/10.40 for SRS ( [0, 1] -> [1, 2, 0], [1, 2] -> [2, 1, 1], [0, 2] -> [2, 0, 1]) 41.08/10.40 reason 41.08/10.40 reverse each lhs and rhs 41.08/10.40 property Termination 41.08/10.40 has value True 41.08/10.40 for SRS ( [1, 0] -> [0, 2, 1], [2, 1] -> [1, 1, 2], [2, 0] -> [1, 0, 2]) 41.08/10.40 reason 41.08/10.40 DP transform 41.08/10.40 property Termination 41.08/10.40 has value True 41.08/10.40 for SRS ( [1, 0] ->= [0, 2, 1], [2, 1] ->= [1, 1, 2], [2, 0] ->= [1, 0, 2], [1#, 0] |-> [2#, 1], [1#, 0] |-> [1#], [2#, 1] |-> [1#, 1, 2], [2#, 1] |-> [1#, 2], [2#, 1] |-> [2#], [2#, 0] |-> [1#, 0, 2], [2#, 0] |-> [2#]) 41.08/10.40 reason 41.08/10.40 remap for 10 rules 41.08/10.40 property Termination 41.08/10.40 has value True 41.08/10.40 for SRS ( [0, 1] ->= [1, 2, 0], [2, 0] ->= [0, 0, 2], [2, 1] ->= [0, 1, 2], [3, 1] |-> [4, 0], [3, 1] |-> [3], [4, 0] |-> [3, 0, 2], [4, 0] |-> [3, 2], [4, 0] |-> [4], [4, 1] |-> [3, 1, 2], [4, 1] |-> [4]) 41.08/10.40 reason 41.08/10.40 weights 41.08/10.40 Map [(1, 4/1), (4, 3/1)] 41.08/10.40 41.08/10.40 property Termination 41.08/10.40 has value True 41.08/10.40 for SRS ( [0, 1] ->= [1, 2, 0], [2, 0] ->= [0, 0, 2], [2, 1] ->= [0, 1, 2], [4, 0] |-> [4]) 41.08/10.40 reason 41.08/10.40 EDG has 1 SCCs 41.08/10.40 property Termination 41.08/10.40 has value True 41.08/10.40 for SRS ( [4, 0] |-> [4], [0, 1] ->= [1, 2, 0], [2, 0] ->= [0, 0, 2], [2, 1] ->= [0, 1, 2]) 41.08/10.40 reason 41.08/10.40 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 41.08/10.40 interpretation 41.08/10.40 0 Wk / 0 1 1 0 \ 41.08/10.40 | 0 1 0 1 | 41.08/10.40 | 0 0 0 1 | 41.08/10.40 \ 0 0 0 1 / 41.08/10.40 1 Wk / 0 0 0 0 \ 41.08/10.40 | 0 0 0 0 | 41.08/10.40 | 0 0 0 1 | 41.08/10.40 \ 0 0 0 1 / 41.08/10.40 2 Wk / 4 0 3 0 \ 41.08/10.40 | 0 4 0 1 | 41.08/10.40 | 0 0 5 0 | 41.08/10.40 \ 0 0 0 1 / 41.08/10.40 4 Wk / 0 2 0 4 \ 41.08/10.40 | 0 0 0 4 | 41.08/10.40 | 0 0 0 0 | 41.08/10.40 \ 0 0 0 1 / 41.08/10.40 [4, 0] |-> [4] 41.08/10.40 lhs rhs ge gt 41.08/10.40 Wk / 0 2 0 6 \ Wk / 0 2 0 4 \ True True 41.08/10.40 | 0 0 0 4 | | 0 0 0 4 | 41.08/10.40 | 0 0 0 0 | | 0 0 0 0 | 41.08/10.40 \ 0 0 0 1 / \ 0 0 0 1 / 41.08/10.40 [0, 1] ->= [1, 2, 0] 41.08/10.41 lhs rhs ge gt 41.08/10.41 Wk / 0 0 0 1 \ Wk / 0 0 0 0 \ True True 41.08/10.41 | 0 0 0 1 | | 0 0 0 0 | 41.08/10.41 | 0 0 0 1 | | 0 0 0 1 | 41.08/10.41 \ 0 0 0 1 / \ 0 0 0 1 / 41.08/10.41 [2, 0] ->= [0, 0, 2] 41.08/10.41 lhs rhs ge gt 41.08/10.41 Wk / 0 4 4 3 \ Wk / 0 4 0 3 \ True False 41.08/10.41 | 0 4 0 5 | | 0 4 0 3 | 41.08/10.41 | 0 0 0 5 | | 0 0 0 1 | 41.08/10.41 \ 0 0 0 1 / \ 0 0 0 1 / 41.08/10.41 [2, 1] ->= [0, 1, 2] 41.08/10.41 lhs rhs ge gt 41.08/10.41 Wk / 0 0 0 3 \ Wk / 0 0 0 1 \ True True 41.08/10.41 | 0 0 0 1 | | 0 0 0 1 | 41.08/10.41 | 0 0 0 5 | | 0 0 0 1 | 41.08/10.41 \ 0 0 0 1 / \ 0 0 0 1 / 41.08/10.41 property Termination 41.08/10.41 has value True 41.08/10.41 for SRS ( [0, 1] ->= [1, 2, 0], [2, 0] ->= [0, 0, 2], [2, 1] ->= [0, 1, 2]) 41.08/10.41 reason 41.08/10.41 EDG has 0 SCCs 41.08/10.41 41.08/10.41 ************************************************** 41.08/10.41 summary 41.08/10.41 ************************************************** 41.08/10.41 SRS with 3 rules on 3 letters Remap { tracing = False} 41.08/10.41 SRS with 3 rules on 3 letters reverse each lhs and rhs 41.08/10.41 SRS with 3 rules on 3 letters DP transform 41.08/10.41 SRS with 10 rules on 5 letters Remap { tracing = False} 41.08/10.41 SRS with 10 rules on 5 letters weights 41.08/10.41 SRS with 4 rules on 4 letters EDG 41.08/10.41 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 41.08/10.41 SRS with 3 rules on 3 letters EDG 41.08/10.41 41.08/10.41 ************************************************** 41.08/10.41 (3, 3)\Deepee(10, 5)\Weight(4, 4)\Matrix{\Natural}{4}(3, 3)\EDG[] 41.08/10.41 ************************************************** 41.26/10.49 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]} 41.26/10.49 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 41.84/10.69 EOF