69.34/17.59 YES 69.34/17.59 property Termination 69.34/17.59 has value True 69.34/17.59 for SRS ( [b, a, a] -> [a, b, c], [c, a] -> [a, c], [c, b] -> [b, a], [a, a] -> [a, b, a]) 69.34/17.59 reason 69.34/17.59 remap for 4 rules 69.34/17.59 property Termination 69.34/17.59 has value True 69.34/17.59 for SRS ( [0, 1, 1] -> [1, 0, 2], [2, 1] -> [1, 2], [2, 0] -> [0, 1], [1, 1] -> [1, 0, 1]) 69.34/17.59 reason 69.34/17.59 DP transform 69.34/17.59 property Termination 69.34/17.59 has value True 69.34/17.59 for SRS ( [0, 1, 1] ->= [1, 0, 2], [2, 1] ->= [1, 2], [2, 0] ->= [0, 1], [1, 1] ->= [1, 0, 1], [0#, 1, 1] |-> [1#, 0, 2], [0#, 1, 1] |-> [0#, 2], [0#, 1, 1] |-> [2#], [2#, 1] |-> [1#, 2], [2#, 1] |-> [2#], [2#, 0] |-> [0#, 1], [2#, 0] |-> [1#], [1#, 1] |-> [1#, 0, 1], [1#, 1] |-> [0#, 1]) 69.34/17.59 reason 69.34/17.59 remap for 13 rules 69.34/17.59 property Termination 69.34/17.59 has value True 69.34/17.59 for SRS ( [0, 1, 1] ->= [1, 0, 2], [2, 1] ->= [1, 2], [2, 0] ->= [0, 1], [1, 1] ->= [1, 0, 1], [3, 1, 1] |-> [4, 0, 2], [3, 1, 1] |-> [3, 2], [3, 1, 1] |-> [5], [5, 1] |-> [4, 2], [5, 1] |-> [5], [5, 0] |-> [3, 1], [5, 0] |-> [4], [4, 1] |-> [4, 0, 1], [4, 1] |-> [3, 1]) 69.34/17.59 reason 69.34/17.59 weights 69.34/17.59 Map [(1, 2/1), (2, 2/1), (4, 1/1), (5, 3/1)] 69.34/17.59 69.34/17.59 property Termination 69.34/17.59 has value True 69.34/17.59 for SRS ( [0, 1, 1] ->= [1, 0, 2], [2, 1] ->= [1, 2], [2, 0] ->= [0, 1], [1, 1] ->= [1, 0, 1], [4, 1] |-> [4, 0, 1]) 69.34/17.59 reason 69.34/17.59 EDG has 1 SCCs 69.34/17.59 property Termination 69.34/17.59 has value True 69.43/17.62 for SRS ( [4, 1] |-> [4, 0, 1], [0, 1, 1] ->= [1, 0, 2], [2, 1] ->= [1, 2], [2, 0] ->= [0, 1], [1, 1] ->= [1, 0, 1]) 69.43/17.62 reason 69.43/17.62 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 69.43/17.62 interpretation 69.43/17.62 0 Wk / - - 0A 0A \ 69.43/17.62 | 1A - - - | 69.43/17.62 | 2A 0A - - | 69.43/17.62 \ - - - 0A / 69.43/17.62 1 Wk / - 1A 0A 0A \ 69.43/17.62 | 1A 3A 2A 2A | 69.43/17.62 | 0A 0A - - | 69.43/17.62 \ - - - 0A / 69.43/17.62 2 Wk / - 1A 0A 0A \ 69.43/17.62 | 1A 3A 2A - | 69.43/17.62 | 2A 2A 3A 3A | 69.43/17.62 \ - - - 0A / 69.43/17.62 4 Wk / - 2A 0A 0A \ 69.43/17.62 | - - - - | 69.43/17.62 | - - - - | 69.43/17.62 \ - - - 0A / 69.43/17.62 [4, 1] |-> [4, 0, 1] 69.43/17.62 lhs rhs ge gt 69.43/17.62 Wk / 3A 5A 4A 4A \ Wk / 1A 4A 3A 3A \ True True 69.43/17.62 | - - - - | | - - - - | 69.43/17.62 | - - - - | | - - - - | 69.43/17.62 \ - - - 0A / \ - - - 0A / 69.43/17.62 [0, 1, 1] ->= [1, 0, 2] 69.43/17.62 lhs rhs ge gt 69.43/17.62 Wk / 1A 3A 2A 2A \ Wk / 1A 3A 2A 2A \ True False 69.43/17.62 | 3A 5A 4A 4A | | 3A 5A 4A 4A | 69.43/17.62 | 4A 6A 5A 5A | | 2A 2A 3A 3A | 69.43/17.62 \ - - - 0A / \ - - - 0A / 69.43/17.62 [2, 1] ->= [1, 2] 69.43/17.62 lhs rhs ge gt 69.43/17.62 Wk / 2A 4A 3A 3A \ Wk / 2A 4A 3A 3A \ True False 69.43/17.62 | 4A 6A 5A 5A | | 4A 6A 5A 5A | 69.43/17.62 | 3A 5A 4A 4A | | 1A 3A 2A 0A | 69.43/17.62 \ - - - 0A / \ - - - 0A / 69.43/17.62 [2, 0] ->= [0, 1] 69.55/17.63 lhs rhs ge gt 69.55/17.63 Wk / 2A 0A - 0A \ Wk / 0A 0A - 0A \ True False 69.55/17.63 | 4A 2A 1A 1A | | - 2A 1A 1A | 69.55/17.63 | 5A 3A 2A 3A | | 1A 3A 2A 2A | 69.55/17.63 \ - - - 0A / \ - - - 0A / 69.55/17.63 [1, 1] ->= [1, 0, 1] 69.55/17.63 lhs rhs ge gt 69.55/17.63 Wk / 2A 4A 3A 3A \ Wk / 1A 3A 2A 2A \ True True 69.55/17.63 | 4A 6A 5A 5A | | 3A 5A 4A 4A | 69.55/17.63 | 1A 3A 2A 2A | | 0A 2A 1A 1A | 69.55/17.63 \ - - - 0A / \ - - - 0A / 69.55/17.63 property Termination 69.55/17.63 has value True 69.55/17.63 for SRS ( [0, 1, 1] ->= [1, 0, 2], [2, 1] ->= [1, 2], [2, 0] ->= [0, 1], [1, 1] ->= [1, 0, 1]) 69.55/17.63 reason 69.55/17.63 EDG has 0 SCCs 69.55/17.63 69.55/17.63 ************************************************** 69.55/17.63 summary 69.55/17.63 ************************************************** 69.55/17.63 SRS with 4 rules on 3 letters Remap { tracing = False} 69.55/17.63 SRS with 4 rules on 3 letters DP transform 69.55/17.63 SRS with 13 rules on 6 letters Remap { tracing = False} 69.55/17.63 SRS with 13 rules on 6 letters weights 69.55/17.63 SRS with 5 rules on 4 letters EDG 69.55/17.63 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 69.55/17.63 SRS with 4 rules on 3 letters EDG 69.55/17.63 69.55/17.63 ************************************************** 69.55/17.63 (4, 3)\Deepee(13, 6)\Weight(5, 4)\Matrix{\Arctic}{4}(4, 3)\EDG[] 69.55/17.63 ************************************************** 69.55/17.65 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]} 69.55/17.65 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 69.86/17.78 EOF