102.70/25.90 YES 102.70/25.90 property Termination 102.70/25.90 has value True 102.70/25.90 for SRS ( [a] -> [], [a] -> [b, b, c], [a, c, b] -> [c, a, a], [c] -> []) 102.70/25.90 reason 102.70/25.90 remap for 4 rules 102.70/25.90 property Termination 102.70/25.90 has value True 102.70/25.90 for SRS ( [0] -> [], [0] -> [1, 1, 2], [0, 2, 1] -> [2, 0, 0], [2] -> []) 102.70/25.90 reason 102.70/25.90 reverse each lhs and rhs 102.70/25.90 property Termination 102.70/25.90 has value True 102.70/25.90 for SRS ( [0] -> [], [0] -> [2, 1, 1], [1, 2, 0] -> [0, 0, 2], [2] -> []) 102.70/25.90 reason 102.70/25.90 DP transform 102.70/25.90 property Termination 102.70/25.90 has value True 102.70/25.90 for SRS ( [0] ->= [], [0] ->= [2, 1, 1], [1, 2, 0] ->= [0, 0, 2], [2] ->= [], [0#] |-> [2#, 1, 1], [0#] |-> [1#, 1], [0#] |-> [1#], [1#, 2, 0] |-> [0#, 0, 2], [1#, 2, 0] |-> [0#, 2], [1#, 2, 0] |-> [2#]) 102.70/25.90 reason 102.70/25.90 remap for 10 rules 102.70/25.90 property Termination 102.70/25.90 has value True 102.70/25.90 for SRS ( [0] ->= [], [0] ->= [1, 2, 2], [2, 1, 0] ->= [0, 0, 1], [1] ->= [], [3] |-> [4, 2, 2], [3] |-> [5, 2], [3] |-> [5], [5, 1, 0] |-> [3, 0, 1], [5, 1, 0] |-> [3, 1], [5, 1, 0] |-> [4]) 102.70/25.90 reason 102.70/25.90 weights 102.70/25.90 Map [(3, 1/2), (5, 1/2)] 102.70/25.90 102.70/25.90 property Termination 102.70/25.90 has value True 102.70/25.90 for SRS ( [0] ->= [], [0] ->= [1, 2, 2], [2, 1, 0] ->= [0, 0, 1], [1] ->= [], [3] |-> [5, 2], [3] |-> [5], [5, 1, 0] |-> [3, 0, 1], [5, 1, 0] |-> [3, 1]) 102.70/25.90 reason 102.70/25.90 EDG has 1 SCCs 102.70/25.90 property Termination 102.70/25.90 has value True 102.70/25.90 for SRS ( [3] |-> [5, 2], [5, 1, 0] |-> [3, 1], [3] |-> [5], [5, 1, 0] |-> [3, 0, 1], [0] ->= [], [0] ->= [1, 2, 2], [2, 1, 0] ->= [0, 0, 1], [1] ->= []) 102.70/25.90 reason 102.70/25.93 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 102.70/25.93 interpretation 102.70/25.93 0 Wk / 3A 3A 0A 4A \ 102.70/25.93 | 0A 0A - 1A | 102.70/25.93 | - 3A 0A 4A | 102.70/25.93 \ - - - 0A / 102.70/25.93 1 Wk / 0A 0A - 1A \ 102.70/25.93 | 0A 0A - - | 102.70/25.93 | 3A - 0A 2A | 102.70/25.93 \ - - - 0A / 102.70/25.93 2 Wk / - - 0A 0A \ 102.70/25.93 | - - 0A 1A | 102.70/25.93 | - 0A - 0A | 102.70/25.93 \ - - - 0A / 102.70/25.93 3 Wk / - 3A 0A 4A \ 102.70/25.93 | 0A 4A 3A 7A | 102.70/25.93 | - - - - | 102.70/25.93 \ - - - 0A / 102.70/25.93 5 Wk / - 0A - 0A \ 102.70/25.93 | - 3A - 3A | 102.70/25.93 | - - - - | 102.70/25.93 \ - - - 0A / 102.70/25.93 [3] |-> [5, 2] 102.70/25.93 lhs rhs ge gt 102.70/25.96 Wk / - 3A 0A 4A \ Wk / - - 0A 1A \ True False 102.70/25.96 | 0A 4A 3A 7A | | - - 3A 4A | 102.70/25.96 | - - - - | | - - - - | 102.70/25.96 \ - - - 0A / \ - - - 0A / 102.70/25.96 [5, 1, 0] |-> [3, 1] 102.70/25.96 lhs rhs ge gt 102.70/25.96 Wk / 3A 3A 0A 4A \ Wk / 3A 3A 0A 4A \ True False 102.70/25.96 | 6A 6A 3A 7A | | 6A 4A 3A 7A | 102.70/25.96 | - - - - | | - - - - | 102.70/25.96 \ - - - 0A / \ - - - 0A / 102.70/25.96 [3] |-> [5] 102.70/25.96 lhs rhs ge gt 102.70/25.96 Wk / - 3A 0A 4A \ Wk / - 0A - 0A \ True True 102.70/25.96 | 0A 4A 3A 7A | | - 3A - 3A | 102.70/25.96 | - - - - | | - - - - | 102.70/25.96 \ - - - 0A / \ - - - 0A / 102.70/25.96 [5, 1, 0] |-> [3, 0, 1] 102.70/25.98 lhs rhs ge gt 102.70/25.98 Wk / 3A 3A 0A 4A \ Wk / 3A 3A 0A 4A \ True False 102.70/25.98 | 6A 6A 3A 7A | | 6A 6A 3A 7A | 102.70/25.98 | - - - - | | - - - - | 102.70/25.98 \ - - - 0A / \ - - - 0A / 102.70/25.98 [0] ->= [] 102.70/25.98 lhs rhs ge gt 102.70/25.98 Wk / 3A 3A 0A 4A \ Wk / 0A - - - \ True False 102.70/25.98 | 0A 0A - 1A | | - 0A - - | 102.70/25.98 | - 3A 0A 4A | | - - 0A - | 102.70/25.98 \ - - - 0A / \ - - - 0A / 102.70/25.98 [0] ->= [1, 2, 2] 102.70/25.98 lhs rhs ge gt 102.70/25.98 Wk / 3A 3A 0A 4A \ Wk / - 0A - 1A \ True False 102.70/25.98 | 0A 0A - 1A | | - 0A - 1A | 102.70/25.98 | - 3A 0A 4A | | - 3A 0A 3A | 102.70/25.98 \ - - - 0A / \ - - - 0A / 102.70/25.98 [2, 1, 0] ->= [0, 0, 1] 102.70/25.99 lhs rhs ge gt 102.70/25.99 Wk / 6A 6A 3A 7A \ Wk / 6A 6A 3A 7A \ True False 102.70/25.99 | 6A 6A 3A 7A | | 3A 3A 0A 4A | 102.70/25.99 | 3A 3A 0A 4A | | 3A 3A 0A 4A | 102.70/25.99 \ - - - 0A / \ - - - 0A / 102.70/25.99 [1] ->= [] 102.70/25.99 lhs rhs ge gt 102.70/25.99 Wk / 0A 0A - 1A \ Wk / 0A - - - \ True False 102.70/25.99 | 0A 0A - - | | - 0A - - | 102.70/25.99 | 3A - 0A 2A | | - - 0A - | 102.70/25.99 \ - - - 0A / \ - - - 0A / 102.70/25.99 property Termination 102.70/25.99 has value True 102.70/25.99 for SRS ( [3] |-> [5, 2], [5, 1, 0] |-> [3, 1], [5, 1, 0] |-> [3, 0, 1], [0] ->= [], [0] ->= [1, 2, 2], [2, 1, 0] ->= [0, 0, 1], [1] ->= []) 102.70/25.99 reason 102.70/25.99 EDG has 1 SCCs 102.70/25.99 property Termination 102.70/25.99 has value True 102.70/25.99 for SRS ( [3] |-> [5, 2], [5, 1, 0] |-> [3, 0, 1], [5, 1, 0] |-> [3, 1], [0] ->= [], [0] ->= [1, 2, 2], [2, 1, 0] ->= [0, 0, 1], [1] ->= []) 102.70/25.99 reason 102.70/25.99 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 102.70/25.99 interpretation 102.70/25.99 0 Wk / 0A 3A 0A 4A \ 102.70/25.99 | - 0A 0A 0A | 102.70/25.99 | 0A 3A 3A 4A | 102.70/25.99 \ - - - 0A / 103.13/26.01 1 Wk / 0A 2A 3A - \ 103.13/26.01 | - 0A 0A - | 103.13/26.01 | - 0A 0A 0A | 103.13/26.01 \ - - - 0A / 103.13/26.01 2 Wk / - 0A - 0A \ 103.13/26.01 | - 0A - - | 103.13/26.01 | 0A 0A - - | 103.13/26.01 \ - - - 0A / 103.13/26.01 3 Wk / - 3A - 4A \ 103.13/26.01 | - 1A 0A 4A | 103.13/26.01 | - 1A - 2A | 103.13/26.01 \ - - - 0A / 103.13/26.01 5 Wk / - 1A - 2A \ 103.13/26.01 | - 0A - 0A | 103.13/26.01 | - 0A - - | 103.13/26.01 \ - - - 0A / 103.13/26.01 [3] |-> [5, 2] 103.13/26.01 lhs rhs ge gt 103.13/26.01 Wk / - 3A - 4A \ Wk / - 1A - 2A \ True True 103.13/26.01 | - 1A 0A 4A | | - 0A - 0A | 103.13/26.01 | - 1A - 2A | | - 0A - - | 103.13/26.01 \ - - - 0A / \ - - - 0A / 103.13/26.01 [5, 1, 0] |-> [3, 0, 1] 103.13/26.04 lhs rhs ge gt 103.13/26.04 Wk / 1A 4A 4A 5A \ Wk / - 3A 3A 4A \ True False 103.13/26.04 | 0A 3A 3A 4A | | 0A 3A 3A 4A | 103.13/26.04 | 0A 3A 3A 4A | | - 1A 1A 2A | 103.13/26.04 \ - - - 0A / \ - - - 0A / 103.13/26.04 [5, 1, 0] |-> [3, 1] 103.13/26.04 lhs rhs ge gt 103.13/26.04 Wk / 1A 4A 4A 5A \ Wk / - 3A 3A 4A \ True False 103.13/26.04 | 0A 3A 3A 4A | | - 1A 1A 4A | 103.13/26.04 | 0A 3A 3A 4A | | - 1A 1A 2A | 103.13/26.04 \ - - - 0A / \ - - - 0A / 103.13/26.04 [0] ->= [] 103.13/26.04 lhs rhs ge gt 103.13/26.04 Wk / 0A 3A 0A 4A \ Wk / 0A - - - \ True False 103.13/26.04 | - 0A 0A 0A | | - 0A - - | 103.13/26.04 | 0A 3A 3A 4A | | - - 0A - | 103.13/26.04 \ - - - 0A / \ - - - 0A / 103.13/26.04 [0] ->= [1, 2, 2] 103.13/26.05 lhs rhs ge gt 103.13/26.05 Wk / 0A 3A 0A 4A \ Wk / - 3A - 3A \ True False 103.13/26.05 | - 0A 0A 0A | | - 0A - 0A | 103.13/26.05 | 0A 3A 3A 4A | | - 0A - 0A | 103.13/26.05 \ - - - 0A / \ - - - 0A / 103.13/26.05 [2, 1, 0] ->= [0, 0, 1] 103.13/26.05 lhs rhs ge gt 103.13/26.05 Wk / 0A 3A 3A 4A \ Wk / 0A 3A 3A 4A \ True False 103.13/26.05 | 0A 3A 3A 4A | | 0A 3A 3A 4A | 103.13/26.05 | 3A 6A 6A 7A | | 3A 6A 6A 7A | 103.13/26.05 \ - - - 0A / \ - - - 0A / 103.13/26.05 [1] ->= [] 103.13/26.05 lhs rhs ge gt 103.13/26.05 Wk / 0A 2A 3A - \ Wk / 0A - - - \ True False 103.13/26.05 | - 0A 0A - | | - 0A - - | 103.13/26.05 | - 0A 0A 0A | | - - 0A - | 103.13/26.05 \ - - - 0A / \ - - - 0A / 103.13/26.05 property Termination 103.13/26.05 has value True 103.13/26.07 for SRS ( [5, 1, 0] |-> [3, 0, 1], [5, 1, 0] |-> [3, 1], [0] ->= [], [0] ->= [1, 2, 2], [2, 1, 0] ->= [0, 0, 1], [1] ->= []) 103.13/26.07 reason 103.13/26.07 weights 103.13/26.07 Map [(5, 2/1)] 103.13/26.07 103.13/26.07 property Termination 103.13/26.07 has value True 103.13/26.07 for SRS ( [0] ->= [], [0] ->= [1, 2, 2], [2, 1, 0] ->= [0, 0, 1], [1] ->= []) 103.13/26.07 reason 103.13/26.07 EDG has 0 SCCs 103.13/26.07 103.13/26.07 ************************************************** 103.13/26.07 summary 103.13/26.07 ************************************************** 103.13/26.07 SRS with 4 rules on 3 letters Remap { tracing = False} 103.13/26.07 SRS with 4 rules on 3 letters reverse each lhs and rhs 103.13/26.07 SRS with 4 rules on 3 letters DP transform 103.13/26.07 SRS with 10 rules on 6 letters Remap { tracing = False} 103.13/26.07 SRS with 10 rules on 6 letters weights 103.13/26.07 SRS with 8 rules on 5 letters EDG 103.13/26.07 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 103.13/26.07 SRS with 7 rules on 5 letters EDG 103.13/26.07 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 103.13/26.07 SRS with 6 rules on 5 letters weights 103.13/26.07 SRS with 4 rules on 3 letters EDG 103.13/26.07 103.13/26.07 ************************************************** 103.13/26.07 (4, 3)\Deepee(10, 6)\Weight(8, 5)\Matrix{\Arctic}{4}(7, 5)\Matrix{\Arctic}{4}(6, 5)\Weight(4, 3)\EDG[] 103.13/26.07 ************************************************** 103.92/26.27 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]} 103.92/26.27 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 104.64/26.43 EOF