68.10/17.26 YES 68.10/17.26 property Termination 68.10/17.26 has value True 68.10/17.26 for SRS ( [a] -> [], [a, b] -> [b, c], [b] -> [], [c, c] -> [a, c, b, a]) 68.10/17.26 reason 68.10/17.26 remap for 4 rules 68.10/17.26 property Termination 68.10/17.26 has value True 68.10/17.26 for SRS ( [0] -> [], [0, 1] -> [1, 2], [1] -> [], [2, 2] -> [0, 2, 1, 0]) 68.10/17.26 reason 68.10/17.26 reverse each lhs and rhs 68.10/17.26 property Termination 68.10/17.26 has value True 68.10/17.26 for SRS ( [0] -> [], [1, 0] -> [2, 1], [1] -> [], [2, 2] -> [0, 1, 2, 0]) 68.10/17.26 reason 68.10/17.26 DP transform 68.10/17.26 property Termination 68.10/17.26 has value True 68.10/17.27 for SRS ( [0] ->= [], [1, 0] ->= [2, 1], [1] ->= [], [2, 2] ->= [0, 1, 2, 0], [1#, 0] |-> [2#, 1], [1#, 0] |-> [1#], [2#, 2] |-> [0#, 1, 2, 0], [2#, 2] |-> [1#, 2, 0], [2#, 2] |-> [2#, 0], [2#, 2] |-> [0#]) 68.10/17.27 reason 68.10/17.27 remap for 10 rules 68.10/17.27 property Termination 68.10/17.27 has value True 68.10/17.27 for SRS ( [0] ->= [], [1, 0] ->= [2, 1], [1] ->= [], [2, 2] ->= [0, 1, 2, 0], [3, 0] |-> [4, 1], [3, 0] |-> [3], [4, 2] |-> [5, 1, 2, 0], [4, 2] |-> [3, 2, 0], [4, 2] |-> [4, 0], [4, 2] |-> [5]) 68.10/17.27 reason 68.10/17.27 weights 68.10/17.27 Map [(3, 1/2), (4, 1/2)] 68.10/17.27 68.10/17.27 property Termination 68.10/17.27 has value True 68.10/17.27 for SRS ( [0] ->= [], [1, 0] ->= [2, 1], [1] ->= [], [2, 2] ->= [0, 1, 2, 0], [3, 0] |-> [4, 1], [3, 0] |-> [3], [4, 2] |-> [3, 2, 0], [4, 2] |-> [4, 0]) 68.10/17.27 reason 68.10/17.27 EDG has 1 SCCs 68.10/17.27 property Termination 68.10/17.27 has value True 68.10/17.27 for SRS ( [3, 0] |-> [4, 1], [4, 2] |-> [4, 0], [4, 2] |-> [3, 2, 0], [3, 0] |-> [3], [0] ->= [], [1, 0] ->= [2, 1], [1] ->= [], [2, 2] ->= [0, 1, 2, 0]) 68.10/17.27 reason 68.10/17.27 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 68.10/17.27 interpretation 68.10/17.27 0 Wk / 0A - - - \ 68.10/17.27 | 1A 0A - 0A | 68.10/17.27 | 3A 1A 3A 2A | 68.10/17.27 \ - - - 0A / 68.10/17.27 1 Wk / 1A - 0A 0A \ 68.10/17.27 | 0A 0A 2A - | 68.10/17.27 | 1A - 0A 0A | 68.10/17.27 \ - - - 0A / 68.10/17.27 2 Wk / 0A 0A - 0A \ 68.10/17.27 | 4A 3A - 3A | 68.10/17.27 | 0A 1A - - | 68.10/17.27 \ - - - 0A / 68.10/17.27 3 Wk / - - 2A 3A \ 68.10/17.27 | - 1A 1A 1A | 68.10/17.27 | - - 2A 1A | 68.10/17.27 \ - - - 0A / 68.10/17.27 4 Wk / 1A 0A - 3A \ 68.10/17.27 | 3A 2A - 3A | 68.10/17.27 | 4A - - - | 68.10/17.27 \ - - - 0A / 68.10/17.27 [3, 0] |-> [4, 1] 68.10/17.27 lhs rhs ge gt 68.10/17.27 Wk / 5A 3A 5A 4A \ Wk / 2A 0A 2A 3A \ True False 68.10/17.27 | 4A 2A 4A 3A | | 4A 2A 4A 3A | 68.10/17.27 | 5A 3A 5A 4A | | 5A - 4A 4A | 68.10/17.27 \ - - - 0A / \ - - - 0A / 68.10/17.27 [4, 2] |-> [4, 0] 68.24/17.28 lhs rhs ge gt 68.24/17.28 Wk / 4A 3A - 3A \ Wk / 1A 0A - 3A \ True False 68.24/17.28 | 6A 5A - 5A | | 3A 2A - 3A | 68.24/17.28 | 4A 4A - 4A | | 4A - - - | 68.24/17.28 \ - - - 0A / \ - - - 0A / 68.24/17.28 [4, 2] |-> [3, 2, 0] 68.24/17.28 lhs rhs ge gt 68.24/17.28 Wk / 4A 3A - 3A \ Wk / 4A 3A - 3A \ True False 68.24/17.28 | 6A 5A - 5A | | 5A 4A - 4A | 68.24/17.28 | 4A 4A - 4A | | 4A 3A - 3A | 68.24/17.28 \ - - - 0A / \ - - - 0A / 68.24/17.28 [3, 0] |-> [3] 68.24/17.28 lhs rhs ge gt 68.24/17.28 Wk / 5A 3A 5A 4A \ Wk / - - 2A 3A \ True True 68.24/17.28 | 4A 2A 4A 3A | | - 1A 1A 1A | 68.24/17.28 | 5A 3A 5A 4A | | - - 2A 1A | 68.24/17.28 \ - - - 0A / \ - - - 0A / 68.24/17.28 [0] ->= [] 68.24/17.29 lhs rhs ge gt 68.24/17.29 Wk / 0A - - - \ Wk / 0A - - - \ True False 68.24/17.29 | 1A 0A - 0A | | - 0A - - | 68.24/17.29 | 3A 1A 3A 2A | | - - 0A - | 68.24/17.29 \ - - - 0A / \ - - - 0A / 68.24/17.29 [1, 0] ->= [2, 1] 68.24/17.29 lhs rhs ge gt 68.24/17.29 Wk / 3A 1A 3A 2A \ Wk / 1A 0A 2A 0A \ True False 68.24/17.29 | 5A 3A 5A 4A | | 5A 3A 5A 4A | 68.24/17.29 | 3A 1A 3A 2A | | 1A 1A 3A 0A | 68.24/17.29 \ - - - 0A / \ - - - 0A / 68.24/17.29 [1] ->= [] 68.24/17.29 lhs rhs ge gt 68.24/17.29 Wk / 1A - 0A 0A \ Wk / 0A - - - \ True False 68.24/17.29 | 0A 0A 2A - | | - 0A - - | 68.24/17.29 | 1A - 0A 0A | | - - 0A - | 68.24/17.29 \ - - - 0A / \ - - - 0A / 68.24/17.29 [2, 2] ->= [0, 1, 2, 0] 68.24/17.29 lhs rhs ge gt 68.24/17.29 Wk / 4A 3A - 3A \ Wk / 2A 1A - 1A \ True False 68.24/17.29 | 7A 6A - 6A | | 4A 3A - 3A | 68.24/17.29 | 5A 4A - 4A | | 5A 4A - 4A | 68.24/17.29 \ - - - 0A / \ - - - 0A / 68.24/17.29 property Termination 68.24/17.29 has value True 68.24/17.29 for SRS ( [3, 0] |-> [4, 1], [4, 2] |-> [4, 0], [4, 2] |-> [3, 2, 0], [0] ->= [], [1, 0] ->= [2, 1], [1] ->= [], [2, 2] ->= [0, 1, 2, 0]) 68.24/17.29 reason 68.24/17.29 EDG has 1 SCCs 68.24/17.29 property Termination 68.24/17.29 has value True 68.24/17.29 for SRS ( [3, 0] |-> [4, 1], [4, 2] |-> [3, 2, 0], [4, 2] |-> [4, 0], [0] ->= [], [1, 0] ->= [2, 1], [1] ->= [], [2, 2] ->= [0, 1, 2, 0]) 68.24/17.29 reason 68.24/17.29 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 68.24/17.29 interpretation 68.24/17.29 0 Wk / 0A - - 0A \ 68.24/17.29 | 1A 3A 5A 3A | 68.24/17.29 | - - 5A - | 68.24/17.29 \ - - - 0A / 68.24/17.29 1 Wk / 0A 2A 2A - \ 68.24/17.29 | - 0A 2A 2A | 68.24/17.29 | - - 2A - | 68.24/17.29 \ - - - 0A / 68.24/17.29 2 Wk / 3A - - 4A \ 68.24/17.29 | 1A - - - | 68.24/17.29 | - - - - | 68.24/17.29 \ - - - 0A / 68.24/17.30 3 Wk / 1A 1A - - \ 68.24/17.30 | 0A 0A - 0A | 68.24/17.30 | - - - - | 68.24/17.30 \ - - - 0A / 68.24/17.30 4 Wk / 1A - - - \ 68.24/17.30 | 0A - - - | 68.24/17.30 | - - - - | 68.24/17.30 \ - - - 0A / 68.24/17.30 [3, 0] |-> [4, 1] 68.24/17.30 lhs rhs ge gt 68.24/17.30 Wk / 2A 4A 6A 4A \ Wk / 1A 3A 3A - \ True True 68.24/17.30 | 1A 3A 5A 3A | | 0A 2A 2A - | 68.24/17.30 | - - - - | | - - - - | 68.24/17.30 \ - - - 0A / \ - - - 0A / 68.24/17.30 [4, 2] |-> [3, 2, 0] 68.24/17.30 lhs rhs ge gt 68.24/17.30 Wk / 4A - - 5A \ Wk / 4A - - 5A \ True False 68.24/17.30 | 3A - - 4A | | 3A - - 4A | 68.24/17.30 | - - - - | | - - - - | 68.24/17.30 \ - - - 0A / \ - - - 0A / 68.24/17.30 [4, 2] |-> [4, 0] 68.24/17.31 lhs rhs ge gt 68.24/17.31 Wk / 4A - - 5A \ Wk / 1A - - 1A \ True True 68.24/17.31 | 3A - - 4A | | 0A - - 0A | 68.24/17.31 | - - - - | | - - - - | 68.24/17.31 \ - - - 0A / \ - - - 0A / 68.24/17.31 [0] ->= [] 68.24/17.31 lhs rhs ge gt 68.24/17.31 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 68.24/17.31 | 1A 3A 5A 3A | | - 0A - - | 68.24/17.31 | - - 5A - | | - - 0A - | 68.24/17.31 \ - - - 0A / \ - - - 0A / 68.24/17.31 [1, 0] ->= [2, 1] 68.24/17.31 lhs rhs ge gt 68.24/17.31 Wk / 3A 5A 7A 5A \ Wk / 3A 5A 5A 4A \ True False 68.24/17.31 | 1A 3A 7A 3A | | 1A 3A 3A - | 68.24/17.31 | - - 7A - | | - - - - | 68.24/17.31 \ - - - 0A / \ - - - 0A / 68.24/17.31 [1] ->= [] 68.24/17.32 lhs rhs ge gt 68.24/17.32 Wk / 0A 2A 2A - \ Wk / 0A - - - \ True False 68.24/17.32 | - 0A 2A 2A | | - 0A - - | 68.24/17.32 | - - 2A - | | - - 0A - | 68.24/17.32 \ - - - 0A / \ - - - 0A / 68.24/17.32 [2, 2] ->= [0, 1, 2, 0] 68.24/17.32 lhs rhs ge gt 68.24/17.32 Wk / 6A - - 7A \ Wk / 3A - - 4A \ True False 68.24/17.32 | 4A - - 5A | | 4A - - 5A | 68.24/17.32 | - - - - | | - - - - | 68.24/17.32 \ - - - 0A / \ - - - 0A / 68.24/17.32 property Termination 68.24/17.32 has value True 68.24/17.32 for SRS ( [4, 2] |-> [3, 2, 0], [0] ->= [], [1, 0] ->= [2, 1], [1] ->= [], [2, 2] ->= [0, 1, 2, 0]) 68.24/17.32 reason 68.24/17.32 weights 68.24/17.32 Map [(4, 1/1)] 68.24/17.32 68.24/17.32 property Termination 68.24/17.32 has value True 68.24/17.32 for SRS ( [0] ->= [], [1, 0] ->= [2, 1], [1] ->= [], [2, 2] ->= [0, 1, 2, 0]) 68.24/17.32 reason 68.24/17.32 EDG has 0 SCCs 68.24/17.32 68.24/17.32 ************************************************** 68.24/17.32 summary 68.24/17.32 ************************************************** 68.24/17.32 SRS with 4 rules on 3 letters Remap { tracing = False} 68.24/17.32 SRS with 4 rules on 3 letters reverse each lhs and rhs 68.24/17.32 SRS with 4 rules on 3 letters DP transform 68.24/17.32 SRS with 10 rules on 6 letters Remap { tracing = False} 68.24/17.32 SRS with 10 rules on 6 letters weights 68.24/17.32 SRS with 8 rules on 5 letters EDG 68.45/17.33 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 68.45/17.33 SRS with 7 rules on 5 letters EDG 68.45/17.33 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 68.45/17.33 SRS with 5 rules on 5 letters weights 68.45/17.33 SRS with 4 rules on 3 letters EDG 68.45/17.33 68.45/17.33 ************************************************** 68.45/17.33 (4, 3)\Deepee(10, 6)\Weight(8, 5)\Matrix{\Arctic}{4}(7, 5)\Matrix{\Arctic}{4}(5, 5)\Weight(4, 3)\EDG[] 68.45/17.33 ************************************************** 68.82/17.45 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]} 68.82/17.45 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 69.24/17.58 EOF