37.04/9.37 YES 37.04/9.38 property Termination 37.04/9.38 has value True 37.04/9.38 for SRS ( [a, b] -> [], [a, c] -> [b, b], [c, b] -> [a, c, c, a]) 37.04/9.38 reason 37.04/9.38 remap for 3 rules 37.04/9.38 property Termination 37.04/9.38 has value True 37.04/9.38 for SRS ( [0, 1] -> [], [0, 2] -> [1, 1], [2, 1] -> [0, 2, 2, 0]) 37.04/9.38 reason 37.04/9.38 DP transform 37.04/9.38 property Termination 37.04/9.38 has value True 37.04/9.38 for SRS ( [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 2, 2, 0], [2#, 1] |-> [0#, 2, 2, 0], [2#, 1] |-> [2#, 2, 0], [2#, 1] |-> [2#, 0], [2#, 1] |-> [0#]) 37.04/9.38 reason 37.04/9.38 remap for 7 rules 37.04/9.39 property Termination 37.04/9.39 has value True 37.13/9.39 for SRS ( [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 2, 2, 0], [3, 1] |-> [4, 2, 2, 0], [3, 1] |-> [3, 2, 0], [3, 1] |-> [3, 0], [3, 1] |-> [4]) 37.13/9.39 reason 37.13/9.39 weights 37.13/9.39 Map [(3, 2/1)] 37.13/9.39 37.13/9.39 property Termination 37.13/9.39 has value True 37.13/9.40 for SRS ( [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 2, 2, 0], [3, 1] |-> [3, 2, 0], [3, 1] |-> [3, 0]) 37.13/9.40 reason 37.13/9.40 EDG has 1 SCCs 37.13/9.40 property Termination 37.13/9.40 has value True 37.13/9.41 for SRS ( [3, 1] |-> [3, 2, 0], [3, 1] |-> [3, 0], [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 2, 2, 0]) 37.13/9.41 reason 37.13/9.41 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 37.13/9.41 interpretation 37.13/9.41 0 / 0A 0A \ 37.13/9.41 \ -2A -2A / 37.13/9.41 1 / 0A 2A \ 37.13/9.41 \ 0A 0A / 37.13/9.41 2 / 2A 4A \ 37.13/9.41 \ 0A 2A / 37.13/9.41 3 / 5A 7A \ 37.13/9.41 \ 5A 7A / 37.13/9.41 [3, 1] |-> [3, 2, 0] 37.13/9.41 lhs rhs ge gt 37.13/9.41 / 7A 7A \ / 7A 7A \ True False 37.13/9.41 \ 7A 7A / \ 7A 7A / 37.13/9.41 [3, 1] |-> [3, 0] 37.13/9.41 lhs rhs ge gt 37.13/9.41 / 7A 7A \ / 5A 5A \ True True 37.13/9.41 \ 7A 7A / \ 5A 5A / 37.13/9.41 [0, 1] ->= [] 37.13/9.41 lhs rhs ge gt 37.13/9.41 / 0A 2A \ / 0A - \ True False 37.13/9.41 \ -2A 0A / \ - 0A / 37.13/9.41 [0, 2] ->= [1, 1] 37.13/9.41 lhs rhs ge gt 37.13/9.41 / 2A 4A \ / 2A 2A \ True False 37.13/9.41 \ 0A 2A / \ 0A 2A / 37.13/9.41 [2, 1] ->= [0, 2, 2, 0] 37.13/9.41 lhs rhs ge gt 37.13/9.41 / 4A 4A \ / 4A 4A \ True False 37.13/9.41 \ 2A 2A / \ 2A 2A / 37.13/9.41 property Termination 37.13/9.41 has value True 37.13/9.41 for SRS ( [3, 1] |-> [3, 2, 0], [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 2, 2, 0]) 37.13/9.42 reason 37.13/9.42 EDG has 1 SCCs 37.13/9.42 property Termination 37.13/9.42 has value True 37.13/9.42 for SRS ( [3, 1] |-> [3, 2, 0], [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 2, 2, 0]) 37.13/9.42 reason 37.13/9.42 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 37.13/9.42 interpretation 37.26/9.43 0 Wk / 2A 0A - 2A \ 37.26/9.43 | 1A 0A 0A - | 37.26/9.43 | 0A - - 1A | 37.26/9.43 \ - - - 0A / 37.26/9.43 1 Wk / - - 0A 1A \ 37.26/9.43 | 0A - 0A 3A | 37.26/9.43 | 3A 0A - 4A | 37.26/9.43 \ - - - 0A / 37.26/9.43 2 Wk / 0A - 3A 4A \ 37.26/9.43 | 3A 0A 3A 4A | 37.26/9.43 | - - 1A 0A | 37.26/9.43 \ - - - 0A / 37.30/9.43 3 Wk / - - 1A 4A \ 37.30/9.43 | - - - - | 37.30/9.43 | - - - - | 37.30/9.43 \ - - - 0A / 37.30/9.43 [3, 1] |-> [3, 2, 0] 37.30/9.44 lhs rhs ge gt 37.30/9.44 Wk / 4A 1A - 5A \ Wk / 2A - - 4A \ True True 37.30/9.44 | - - - - | | - - - - | 37.30/9.44 | - - - - | | - - - - | 37.30/9.44 \ - - - 0A / \ - - - 0A / 37.30/9.44 [0, 1] ->= [] 37.30/9.45 lhs rhs ge gt 37.30/9.45 Wk / 0A - 2A 3A \ Wk / 0A - - - \ True False 37.30/9.45 | 3A 0A 1A 4A | | - 0A - - | 37.30/9.45 | - - 0A 1A | | - - 0A - | 37.30/9.45 \ - - - 0A / \ - - - 0A / 37.30/9.45 [0, 2] ->= [1, 1] 37.30/9.45 lhs rhs ge gt 37.30/9.45 Wk / 3A 0A 5A 6A \ Wk / 3A 0A - 4A \ True False 37.30/9.45 | 3A 0A 4A 5A | | 3A 0A 0A 4A | 37.30/9.45 | 0A - 3A 4A | | 0A - 3A 4A | 37.30/9.45 \ - - - 0A / \ - - - 0A / 37.30/9.45 [2, 1] ->= [0, 2, 2, 0] 37.30/9.46 lhs rhs ge gt 37.30/9.46 Wk / 6A 3A 0A 7A \ Wk / 6A 3A 0A 7A \ True False 37.30/9.46 | 6A 3A 3A 7A | | 6A 3A 0A 7A | 37.30/9.46 | 4A 1A - 5A | | 4A 0A - 5A | 37.30/9.46 \ - - - 0A / \ - - - 0A / 37.30/9.46 property Termination 37.30/9.46 has value True 37.30/9.46 for SRS ( [0, 1] ->= [], [0, 2] ->= [1, 1], [2, 1] ->= [0, 2, 2, 0]) 37.30/9.46 reason 37.30/9.46 EDG has 0 SCCs 37.30/9.46 37.30/9.46 ************************************************** 37.30/9.46 summary 37.30/9.46 ************************************************** 37.30/9.46 SRS with 3 rules on 3 letters Remap { tracing = False} 37.30/9.46 SRS with 3 rules on 3 letters DP transform 37.30/9.46 SRS with 7 rules on 5 letters Remap { tracing = False} 37.30/9.46 SRS with 7 rules on 5 letters weights 37.30/9.46 SRS with 5 rules on 4 letters EDG 37.30/9.47 SRS with 5 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 37.30/9.47 SRS with 4 rules on 4 letters EDG 37.30/9.47 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 37.30/9.47 SRS with 3 rules on 3 letters EDG 37.30/9.47 37.30/9.47 ************************************************** 37.30/9.47 (3, 3)\Deepee(7, 5)\Weight(5, 4)\Matrix{\Arctic}{2}(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[] 37.30/9.47 ************************************************** 37.59/9.51 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]} 37.59/9.51 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 37.75/9.62 EOF