22.62/5.75 YES 22.62/5.75 property Termination 22.62/5.75 has value True 22.62/5.76 for SRS ( [a] -> [], [a, a] -> [b, a, b, c, c, b], [c, b] -> [a]) 22.62/5.76 reason 22.62/5.76 remap for 3 rules 22.62/5.76 property Termination 22.62/5.76 has value True 22.62/5.76 for SRS ( [0] -> [], [0, 0] -> [1, 0, 1, 2, 2, 1], [2, 1] -> [0]) 22.62/5.76 reason 22.62/5.76 reverse each lhs and rhs 22.62/5.76 property Termination 22.62/5.76 has value True 22.62/5.79 for SRS ( [0] -> [], [0, 0] -> [1, 2, 2, 1, 0, 1], [1, 2] -> [0]) 22.62/5.79 reason 22.62/5.79 DP transform 22.62/5.79 property Termination 22.62/5.79 has value True 22.62/5.80 for SRS ( [0] ->= [], [0, 0] ->= [1, 2, 2, 1, 0, 1], [1, 2] ->= [0], [0#, 0] |-> [1#, 2, 2, 1, 0, 1], [0#, 0] |-> [1#, 0, 1], [0#, 0] |-> [0#, 1], [0#, 0] |-> [1#], [1#, 2] |-> [0#]) 22.62/5.80 reason 22.62/5.80 remap for 8 rules 22.62/5.80 property Termination 22.62/5.80 has value True 22.62/5.80 for SRS ( [0] ->= [], [0, 0] ->= [1, 2, 2, 1, 0, 1], [1, 2] ->= [0], [3, 0] |-> [4, 2, 2, 1, 0, 1], [3, 0] |-> [4, 0, 1], [3, 0] |-> [3, 1], [3, 0] |-> [4], [4, 2] |-> [3]) 22.62/5.80 reason 22.62/5.80 EDG has 1 SCCs 22.62/5.80 property Termination 22.62/5.80 has value True 22.62/5.80 for SRS ( [3, 0] |-> [4, 2, 2, 1, 0, 1], [4, 2] |-> [3], [3, 0] |-> [4], [3, 0] |-> [3, 1], [3, 0] |-> [4, 0, 1], [0] ->= [], [0, 0] ->= [1, 2, 2, 1, 0, 1], [1, 2] ->= [0]) 22.62/5.80 reason 22.98/5.81 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 22.98/5.81 interpretation 22.98/5.81 0 / 0A 3A 3A \ 22.98/5.81 | 0A 3A 3A | 22.98/5.81 \ -3A 0A 0A / 22.98/5.81 1 / 0A 0A 0A \ 22.98/5.81 | -3A -3A 0A | 22.98/5.81 \ -3A -3A -3A / 22.98/5.81 2 / 0A 3A 3A \ 22.98/5.81 | 0A 3A 3A | 22.98/5.81 \ 0A 3A 3A / 22.98/5.81 3 / 16A 19A 19A \ 22.98/5.81 | 16A 19A 19A | 22.98/5.81 \ 16A 19A 19A / 22.98/5.81 4 / 13A 13A 16A \ 22.98/5.81 | 13A 13A 16A | 22.98/5.81 \ 13A 13A 16A / 22.98/5.81 [3, 0] |-> [4, 2, 2, 1, 0, 1] 22.98/5.81 lhs rhs ge gt 22.98/5.81 / 19A 22A 22A \ / 19A 19A 22A \ True False 22.98/5.81 | 19A 22A 22A | | 19A 19A 22A | 22.98/5.81 \ 19A 22A 22A / \ 19A 19A 22A / 22.98/5.81 [4, 2] |-> [3] 22.98/5.81 lhs rhs ge gt 22.98/5.81 / 16A 19A 19A \ / 16A 19A 19A \ True False 22.98/5.81 | 16A 19A 19A | | 16A 19A 19A | 22.98/5.81 \ 16A 19A 19A / \ 16A 19A 19A / 22.98/5.81 [3, 0] |-> [4] 22.98/5.81 lhs rhs ge gt 22.98/5.81 / 19A 22A 22A \ / 13A 13A 16A \ True True 22.98/5.81 | 19A 22A 22A | | 13A 13A 16A | 22.98/5.81 \ 19A 22A 22A / \ 13A 13A 16A / 22.98/5.81 [3, 0] |-> [3, 1] 22.98/5.81 lhs rhs ge gt 22.98/5.81 / 19A 22A 22A \ / 16A 16A 19A \ True True 22.98/5.81 | 19A 22A 22A | | 16A 16A 19A | 22.98/5.81 \ 19A 22A 22A / \ 16A 16A 19A / 22.98/5.81 [3, 0] |-> [4, 0, 1] 22.98/5.81 lhs rhs ge gt 22.98/5.81 / 19A 22A 22A \ / 13A 13A 16A \ True True 22.98/5.81 | 19A 22A 22A | | 13A 13A 16A | 22.98/5.81 \ 19A 22A 22A / \ 13A 13A 16A / 22.98/5.81 [0] ->= [] 22.98/5.81 lhs rhs ge gt 22.98/5.81 / 0A 3A 3A \ / 0A - - \ True False 22.98/5.81 | 0A 3A 3A | | - 0A - | 22.98/5.81 \ -3A 0A 0A / \ - - 0A / 22.98/5.81 [0, 0] ->= [1, 2, 2, 1, 0, 1] 22.98/5.81 lhs rhs ge gt 22.98/5.81 / 3A 6A 6A \ / 3A 3A 6A \ True False 22.98/5.81 | 3A 6A 6A | | 3A 3A 6A | 22.98/5.81 \ 0A 3A 3A / \ 0A 0A 3A / 22.98/5.81 [1, 2] ->= [0] 22.98/5.81 lhs rhs ge gt 22.98/5.82 / 0A 3A 3A \ / 0A 3A 3A \ True False 22.98/5.82 | 0A 3A 3A | | 0A 3A 3A | 22.98/5.82 \ -3A 0A 0A / \ -3A 0A 0A / 22.98/5.82 property Termination 22.98/5.82 has value True 22.98/5.82 for SRS ( [3, 0] |-> [4, 2, 2, 1, 0, 1], [4, 2] |-> [3], [0] ->= [], [0, 0] ->= [1, 2, 2, 1, 0, 1], [1, 2] ->= [0]) 22.98/5.82 reason 22.98/5.82 EDG has 1 SCCs 22.98/5.82 property Termination 22.98/5.82 has value True 22.98/5.82 for SRS ( [3, 0] |-> [4, 2, 2, 1, 0, 1], [4, 2] |-> [3], [0] ->= [], [0, 0] ->= [1, 2, 2, 1, 0, 1], [1, 2] ->= [0]) 22.98/5.82 reason 22.98/5.82 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 22.98/5.82 interpretation 22.98/5.82 0 / 0A 0A 0A \ 22.98/5.82 | 0A 0A 0A | 22.98/5.82 \ 0A 0A 0A / 22.98/5.82 1 / 0A 0A 0A \ 22.98/5.82 | 0A 0A 0A | 22.98/5.82 \ 0A 0A 0A / 22.98/5.82 2 / 0A 0A 0A \ 22.98/5.82 | -3A -3A 0A | 22.98/5.82 \ -3A -3A -3A / 22.98/5.82 3 / 33A 33A 34A \ 22.98/5.82 | 33A 33A 34A | 22.98/5.82 \ 33A 33A 34A / 22.98/5.82 4 / 33A 36A 36A \ 22.98/5.82 | 33A 36A 36A | 22.98/5.82 \ 33A 36A 36A / 22.98/5.82 [3, 0] |-> [4, 2, 2, 1, 0, 1] 22.98/5.82 lhs rhs ge gt 22.98/5.82 / 34A 34A 34A \ / 33A 33A 33A \ True True 22.98/5.82 | 34A 34A 34A | | 33A 33A 33A | 22.98/5.82 \ 34A 34A 34A / \ 33A 33A 33A / 22.98/5.82 [4, 2] |-> [3] 22.98/5.82 lhs rhs ge gt 22.98/5.82 / 33A 33A 36A \ / 33A 33A 34A \ True False 22.98/5.82 | 33A 33A 36A | | 33A 33A 34A | 22.98/5.82 \ 33A 33A 36A / \ 33A 33A 34A / 22.98/5.82 [0] ->= [] 22.98/5.82 lhs rhs ge gt 22.98/5.82 / 0A 0A 0A \ / 0A - - \ True False 22.98/5.82 | 0A 0A 0A | | - 0A - | 22.98/5.82 \ 0A 0A 0A / \ - - 0A / 22.98/5.82 [0, 0] ->= [1, 2, 2, 1, 0, 1] 22.98/5.82 lhs rhs ge gt 22.98/5.82 / 0A 0A 0A \ / 0A 0A 0A \ True False 22.98/5.82 | 0A 0A 0A | | 0A 0A 0A | 22.98/5.82 \ 0A 0A 0A / \ 0A 0A 0A / 22.98/5.82 [1, 2] ->= [0] 22.98/5.82 lhs rhs ge gt 22.98/5.82 / 0A 0A 0A \ / 0A 0A 0A \ True False 22.98/5.82 | 0A 0A 0A | | 0A 0A 0A | 22.98/5.82 \ 0A 0A 0A / \ 0A 0A 0A / 22.98/5.82 property Termination 22.98/5.82 has value True 22.98/5.82 for SRS ( [4, 2] |-> [3], [0] ->= [], [0, 0] ->= [1, 2, 2, 1, 0, 1], [1, 2] ->= [0]) 22.98/5.82 reason 22.98/5.82 weights 22.98/5.82 Map [(4, 1/1)] 22.98/5.82 22.98/5.82 property Termination 22.98/5.82 has value True 22.98/5.82 for SRS ( [0] ->= [], [0, 0] ->= [1, 2, 2, 1, 0, 1], [1, 2] ->= [0]) 22.98/5.83 reason 22.98/5.83 EDG has 0 SCCs 22.98/5.83 22.98/5.83 ************************************************** 22.98/5.83 summary 22.98/5.83 ************************************************** 22.98/5.83 SRS with 3 rules on 3 letters Remap { tracing = False} 22.98/5.83 SRS with 3 rules on 3 letters reverse each lhs and rhs 22.98/5.84 SRS with 3 rules on 3 letters DP transform 23.75/6.04 SRS with 8 rules on 5 letters Remap { tracing = False} 23.75/6.04 SRS with 8 rules on 5 letters EDG 23.75/6.04 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 23.75/6.04 SRS with 5 rules on 5 letters EDG 23.75/6.04 SRS with 5 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 23.75/6.04 SRS with 4 rules on 5 letters weights 23.75/6.04 SRS with 3 rules on 3 letters EDG 23.75/6.04 23.75/6.04 ************************************************** 23.75/6.04 (3, 3)\Deepee(8, 5)\Matrix{\Arctic}{3}(5, 5)\Matrix{\Arctic}{3}(4, 5)\Weight(3, 3)\EDG[] 23.75/6.04 ************************************************** 24.54/6.25 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]} 24.54/6.25 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 24.90/6.35 EOF