83.03/21.02 YES 83.41/21.09 property Termination 83.41/21.09 has value True 83.41/21.09 for SRS ( [a] -> [], [a, a] -> [b, c], [c, b, b] -> [a, a, b, a]) 83.41/21.09 reason 83.53/21.15 remap for 3 rules 83.53/21.15 property Termination 83.53/21.15 has value True 83.53/21.15 for SRS ( [0] -> [], [0, 0] -> [1, 2], [2, 1, 1] -> [0, 0, 1, 0]) 83.53/21.15 reason 83.53/21.15 DP transform 83.53/21.15 property Termination 83.53/21.15 has value True 83.53/21.15 for SRS ( [0] ->= [], [0, 0] ->= [1, 2], [2, 1, 1] ->= [0, 0, 1, 0], [0#, 0] |-> [2#], [2#, 1, 1] |-> [0#, 0, 1, 0], [2#, 1, 1] |-> [0#, 1, 0], [2#, 1, 1] |-> [0#]) 83.53/21.15 reason 83.53/21.15 remap for 7 rules 83.53/21.15 property Termination 83.53/21.15 has value True 83.53/21.15 for SRS ( [0] ->= [], [0, 0] ->= [1, 2], [2, 1, 1] ->= [0, 0, 1, 0], [3, 0] |-> [4], [4, 1, 1] |-> [3, 0, 1, 0], [4, 1, 1] |-> [3, 1, 0], [4, 1, 1] |-> [3]) 83.53/21.15 reason 83.53/21.15 EDG has 1 SCCs 83.53/21.15 property Termination 83.53/21.15 has value True 83.53/21.15 for SRS ( [3, 0] |-> [4], [4, 1, 1] |-> [3], [4, 1, 1] |-> [3, 0, 1, 0], [0] ->= [], [0, 0] ->= [1, 2], [2, 1, 1] ->= [0, 0, 1, 0]) 83.53/21.15 reason 83.53/21.15 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 83.53/21.15 interpretation 83.53/21.15 0 Wk / 0A - 3A - \ 83.53/21.15 | 1A 0A - 0A | 83.53/21.15 | 2A - 0A 2A | 83.53/21.15 \ - - - 0A / 83.53/21.15 1 Wk / - - - 0A \ 83.53/21.15 | 1A - - 0A | 83.53/21.15 | - 1A 0A 2A | 83.53/21.15 \ - - - 0A / 83.53/21.15 2 Wk / 0A - 3A - \ 83.53/21.15 | 0A - 4A 1A | 83.53/21.15 | 1A - 5A 0A | 83.53/21.15 \ - - - 0A / 83.53/21.18 3 Wk / 2A - - 0A \ 83.53/21.18 | - - - - | 83.53/21.18 | - - - - | 83.53/21.18 \ - - - 0A / 83.53/21.18 4 Wk / 0A - 5A 0A \ 83.53/21.18 | - - - - | 83.53/21.18 | - - - - | 83.53/21.18 \ - - - 0A / 83.53/21.18 [3, 0] |-> [4] 83.53/21.18 lhs rhs ge gt 83.53/21.18 Wk / 2A - 5A 0A \ Wk / 0A - 5A 0A \ True False 83.53/21.18 | - - - - | | - - - - | 83.53/21.18 | - - - - | | - - - - | 83.53/21.18 \ - - - 0A / \ - - - 0A / 83.53/21.18 [4, 1, 1] |-> [3] 83.53/21.18 lhs rhs ge gt 83.53/21.18 Wk / 7A 6A 5A 7A \ Wk / 2A - - 0A \ True True 83.53/21.18 | - - - - | | - - - - | 83.53/21.18 | - - - - | | - - - - | 83.53/21.18 \ - - - 0A / \ - - - 0A / 83.53/21.18 [4, 1, 1] |-> [3, 0, 1, 0] 83.53/21.20 lhs rhs ge gt 83.53/21.20 Wk / 7A 6A 5A 7A \ Wk / 7A 6A 5A 7A \ True False 83.53/21.20 | - - - - | | - - - - | 83.53/21.20 | - - - - | | - - - - | 83.53/21.20 \ - - - 0A / \ - - - 0A / 83.53/21.20 [0] ->= [] 83.53/21.20 lhs rhs ge gt 83.53/21.20 Wk / 0A - 3A - \ Wk / 0A - - - \ True False 83.53/21.20 | 1A 0A - 0A | | - 0A - - | 83.53/21.20 | 2A - 0A 2A | | - - 0A - | 83.53/21.20 \ - - - 0A / \ - - - 0A / 83.53/21.20 [0, 0] ->= [1, 2] 83.53/21.20 lhs rhs ge gt 83.53/21.20 Wk / 5A - 3A 5A \ Wk / - - - 0A \ True False 83.53/21.20 | 1A 0A 4A 0A | | 1A - 4A 0A | 83.53/21.20 | 2A - 5A 2A | | 1A - 5A 2A | 83.53/21.20 \ - - - 0A / \ - - - 0A / 83.53/21.20 [2, 1, 1] ->= [0, 0, 1, 0] 83.53/21.20 lhs rhs ge gt 83.53/21.20 Wk / 5A 4A 3A 5A \ Wk / 5A 4A 3A 5A \ True False 83.53/21.20 | 6A 5A 4A 6A | | 6A 5A 4A 6A | 83.53/21.20 | 7A 6A 5A 7A | | 7A 6A 5A 7A | 83.53/21.20 \ - - - 0A / \ - - - 0A / 83.53/21.20 property Termination 83.53/21.20 has value True 83.53/21.20 for SRS ( [3, 0] |-> [4], [4, 1, 1] |-> [3, 0, 1, 0], [0] ->= [], [0, 0] ->= [1, 2], [2, 1, 1] ->= [0, 0, 1, 0]) 83.53/21.20 reason 83.53/21.20 EDG has 1 SCCs 83.53/21.20 property Termination 83.53/21.20 has value True 83.53/21.20 for SRS ( [3, 0] |-> [4], [4, 1, 1] |-> [3, 0, 1, 0], [0] ->= [], [0, 0] ->= [1, 2], [2, 1, 1] ->= [0, 0, 1, 0]) 83.53/21.20 reason 83.53/21.20 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 83.53/21.20 interpretation 83.53/21.20 0 Wk / 0A 1A 1A - \ 83.53/21.20 | - 0A 0A - | 83.53/21.20 | - 3A 0A 3A | 83.53/21.20 \ - - - 0A / 83.53/21.20 1 Wk / 3A - 4A 4A \ 83.53/21.20 | 2A 3A 0A 0A | 83.53/21.20 | 0A - - - | 83.53/21.20 \ - - - 0A / 83.89/21.22 2 Wk / - 1A - 1A \ 83.89/21.22 | - 0A - 0A | 83.89/21.22 | - 0A - - | 83.89/21.22 \ - - - 0A / 83.89/21.22 3 Wk / - 3A - 3A \ 83.89/21.22 | - - - - | 83.89/21.22 | - - - - | 83.89/21.22 \ - - - 0A / 83.89/21.22 4 Wk / - 1A - 3A \ 83.89/21.22 | - - - - | 83.89/21.22 | - - - - | 83.89/21.22 \ - - - 0A / 83.89/21.22 [3, 0] |-> [4] 83.89/21.22 lhs rhs ge gt 83.89/21.22 Wk / - 3A 3A 3A \ Wk / - 1A - 3A \ True False 83.89/21.22 | - - - - | | - - - - | 83.89/21.22 | - - - - | | - - - - | 83.89/21.22 \ - - - 0A / \ - - - 0A / 83.89/21.22 [4, 1, 1] |-> [3, 0, 1, 0] 83.89/21.22 lhs rhs ge gt 83.89/21.22 Wk / 6A 7A 7A 7A \ Wk / 5A 6A 6A 6A \ True True 83.89/21.22 | - - - - | | - - - - | 83.89/21.22 | - - - - | | - - - - | 83.89/21.22 \ - - - 0A / \ - - - 0A / 83.89/21.23 [0] ->= [] 83.89/21.23 lhs rhs ge gt 83.89/21.23 Wk / 0A 1A 1A - \ Wk / 0A - - - \ True False 83.89/21.23 | - 0A 0A - | | - 0A - - | 83.89/21.23 | - 3A 0A 3A | | - - 0A - | 83.89/21.23 \ - - - 0A / \ - - - 0A / 83.89/21.23 [0, 0] ->= [1, 2] 83.89/21.23 lhs rhs ge gt 83.89/21.23 Wk / 0A 4A 1A 4A \ Wk / - 4A - 4A \ True False 83.89/21.23 | - 3A 0A 3A | | - 3A - 3A | 83.89/21.23 | - 3A 3A 3A | | - 1A - 1A | 83.89/21.23 \ - - - 0A / \ - - - 0A / 83.89/21.23 [2, 1, 1] ->= [0, 0, 1, 0] 83.89/21.26 lhs rhs ge gt 83.89/21.26 Wk / 6A 7A 7A 7A \ Wk / 6A 7A 7A 7A \ True False 83.89/21.26 | 5A 6A 6A 6A | | 5A 6A 6A 6A | 83.89/21.26 | 5A 6A 6A 6A | | 5A 6A 6A 6A | 83.89/21.26 \ - - - 0A / \ - - - 0A / 83.89/21.26 property Termination 83.89/21.26 has value True 83.89/21.26 for SRS ( [3, 0] |-> [4], [0] ->= [], [0, 0] ->= [1, 2], [2, 1, 1] ->= [0, 0, 1, 0]) 83.89/21.26 reason 83.89/21.26 weights 83.89/21.26 Map [(3, 1/1)] 83.89/21.26 83.89/21.26 property Termination 83.89/21.26 has value True 83.89/21.26 for SRS ( [0] ->= [], [0, 0] ->= [1, 2], [2, 1, 1] ->= [0, 0, 1, 0]) 83.89/21.26 reason 83.89/21.26 EDG has 0 SCCs 83.89/21.26 83.89/21.26 ************************************************** 83.89/21.26 summary 83.89/21.26 ************************************************** 83.89/21.26 SRS with 3 rules on 3 letters Remap { tracing = False} 83.89/21.26 SRS with 3 rules on 3 letters DP transform 83.89/21.26 SRS with 7 rules on 5 letters Remap { tracing = False} 83.89/21.26 SRS with 7 rules on 5 letters EDG 83.89/21.26 SRS with 6 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 83.89/21.26 SRS with 5 rules on 5 letters EDG 83.89/21.26 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 83.89/21.26 SRS with 4 rules on 5 letters weights 83.89/21.26 SRS with 3 rules on 3 letters EDG 83.89/21.26 83.89/21.26 ************************************************** 83.89/21.26 (3, 3)\Deepee(7, 5)\EDG(6, 5)\Matrix{\Arctic}{4}(5, 5)\Matrix{\Arctic}{4}(4, 5)\Weight(3, 3)\EDG[] 83.89/21.26 ************************************************** 84.64/21.41 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]} 84.64/21.41 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 85.27/21.58 EOF