120.18/30.33 YES 120.18/30.33 property Termination 120.18/30.33 has value True 120.18/30.33 for SRS ( [a, a] -> [a, b, b, c], [b, a] -> [], [c, b] -> [a, c]) 120.18/30.33 reason 120.18/30.33 remap for 3 rules 120.18/30.33 property Termination 120.18/30.33 has value True 120.18/30.33 for SRS ( [0, 0] -> [0, 1, 1, 2], [1, 0] -> [], [2, 1] -> [0, 2]) 120.18/30.33 reason 120.18/30.33 DP transform 120.18/30.33 property Termination 120.18/30.33 has value True 120.18/30.33 for SRS ( [0, 0] ->= [0, 1, 1, 2], [1, 0] ->= [], [2, 1] ->= [0, 2], [0#, 0] |-> [0#, 1, 1, 2], [0#, 0] |-> [1#, 1, 2], [0#, 0] |-> [1#, 2], [0#, 0] |-> [2#], [2#, 1] |-> [0#, 2], [2#, 1] |-> [2#]) 120.18/30.33 reason 120.18/30.33 remap for 9 rules 120.18/30.33 property Termination 120.18/30.33 has value True 120.18/30.33 for SRS ( [0, 0] ->= [0, 1, 1, 2], [1, 0] ->= [], [2, 1] ->= [0, 2], [3, 0] |-> [3, 1, 1, 2], [3, 0] |-> [4, 1, 2], [3, 0] |-> [4, 2], [3, 0] |-> [5], [5, 1] |-> [3, 2], [5, 1] |-> [5]) 120.18/30.33 reason 120.18/30.33 weights 120.18/30.33 Map [(3, 1/2), (5, 1/2)] 120.18/30.33 120.18/30.33 property Termination 120.18/30.33 has value True 120.18/30.33 for SRS ( [0, 0] ->= [0, 1, 1, 2], [1, 0] ->= [], [2, 1] ->= [0, 2], [3, 0] |-> [3, 1, 1, 2], [3, 0] |-> [5], [5, 1] |-> [3, 2], [5, 1] |-> [5]) 120.18/30.33 reason 120.18/30.33 EDG has 1 SCCs 120.18/30.33 property Termination 120.18/30.33 has value True 120.18/30.33 for SRS ( [3, 0] |-> [3, 1, 1, 2], [3, 0] |-> [5], [5, 1] |-> [5], [5, 1] |-> [3, 2], [0, 0] ->= [0, 1, 1, 2], [1, 0] ->= [], [2, 1] ->= [0, 2]) 120.18/30.33 reason 120.18/30.33 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 120.18/30.33 interpretation 120.18/30.34 0 Wk / 3A 0A - 3A \ 120.18/30.34 | 0A - 0A 1A | 120.18/30.34 | 2A - 2A 2A | 120.18/30.34 \ - - - 0A / 120.18/30.34 1 Wk / - 0A 0A 2A \ 120.18/30.34 | 0A 3A - 3A | 120.18/30.34 | 0A 0A - 3A | 120.18/30.34 \ - - - 0A / 120.18/30.34 2 Wk / - 0A - 0A \ 120.18/30.34 | 0A - - - | 120.18/30.34 | - 0A - - | 120.18/30.34 \ - - - 0A / 120.18/30.34 3 Wk / 3A - 1A - \ 120.18/30.34 | 3A 0A 3A 0A | 120.18/30.34 | 4A 0A - - | 120.18/30.34 \ - - - 0A / 120.18/30.34 5 Wk / - 0A - 3A \ 120.18/30.34 | 4A - 4A 0A | 120.18/30.34 | 0A 1A - 5A | 120.18/30.34 \ - - - 0A / 120.18/30.34 [3, 0] |-> [3, 1, 1, 2] 120.18/30.34 lhs rhs ge gt 120.18/30.34 Wk / 6A 3A 3A 6A \ Wk / 6A 3A - 6A \ True False 120.18/30.34 | 6A 3A 5A 6A | | 6A 3A - 6A | 120.18/30.34 | 7A 4A 0A 7A | | 7A 4A - 7A | 120.18/30.34 \ - - - 0A / \ - - - 0A / 120.18/30.34 [3, 0] |-> [5] 120.18/30.34 lhs rhs ge gt 120.18/30.34 Wk / 6A 3A 3A 6A \ Wk / - 0A - 3A \ True True 120.18/30.34 | 6A 3A 5A 6A | | 4A - 4A 0A | 120.18/30.34 | 7A 4A 0A 7A | | 0A 1A - 5A | 120.18/30.34 \ - - - 0A / \ - - - 0A / 120.18/30.34 [5, 1] |-> [5] 120.18/30.34 lhs rhs ge gt 120.18/30.34 Wk / 0A 3A - 3A \ Wk / - 0A - 3A \ True False 120.18/30.34 | 4A 4A 4A 7A | | 4A - 4A 0A | 120.18/30.34 | 1A 4A 0A 5A | | 0A 1A - 5A | 120.18/30.34 \ - - - 0A / \ - - - 0A / 120.18/30.34 [5, 1] |-> [3, 2] 120.18/30.34 lhs rhs ge gt 120.18/30.34 Wk / 0A 3A - 3A \ Wk / - 3A - 3A \ True False 120.18/30.34 | 4A 4A 4A 7A | | 0A 3A - 3A | 120.18/30.34 | 1A 4A 0A 5A | | 0A 4A - 4A | 120.18/30.34 \ - - - 0A / \ - - - 0A / 120.18/30.34 [0, 0] ->= [0, 1, 1, 2] 120.18/30.34 lhs rhs ge gt 120.18/30.34 Wk / 6A 3A 0A 6A \ Wk / 6A 3A - 6A \ True False 120.18/30.34 | 3A 0A 2A 3A | | 3A 0A - 3A | 120.18/30.34 | 5A 2A 4A 5A | | 5A 2A - 5A | 120.18/30.34 \ - - - 0A / \ - - - 0A / 120.18/30.34 [1, 0] ->= [] 120.18/30.34 lhs rhs ge gt 120.18/30.34 Wk / 2A - 2A 2A \ Wk / 0A - - - \ True False 120.18/30.34 | 3A 0A 3A 4A | | - 0A - - | 120.18/30.34 | 3A 0A 0A 3A | | - - 0A - | 120.18/30.34 \ - - - 0A / \ - - - 0A / 120.18/30.34 [2, 1] ->= [0, 2] 120.18/30.38 lhs rhs ge gt 120.18/30.38 Wk / 0A 3A - 3A \ Wk / 0A 3A - 3A \ True False 120.18/30.38 | - 0A 0A 2A | | - 0A - 1A | 120.18/30.38 | 0A 3A - 3A | | - 2A - 2A | 120.18/30.38 \ - - - 0A / \ - - - 0A / 120.18/30.38 property Termination 120.18/30.38 has value True 120.18/30.38 for SRS ( [3, 0] |-> [3, 1, 1, 2], [5, 1] |-> [5], [5, 1] |-> [3, 2], [0, 0] ->= [0, 1, 1, 2], [1, 0] ->= [], [2, 1] ->= [0, 2]) 120.18/30.38 reason 120.18/30.38 weights 120.18/30.38 Map [(5, 1/1)] 120.18/30.38 120.18/30.38 property Termination 120.18/30.38 has value True 120.18/30.38 for SRS ( [3, 0] |-> [3, 1, 1, 2], [5, 1] |-> [5], [0, 0] ->= [0, 1, 1, 2], [1, 0] ->= [], [2, 1] ->= [0, 2]) 120.18/30.38 reason 120.18/30.38 EDG has 2 SCCs 120.18/30.38 property Termination 120.18/30.38 has value True 120.18/30.38 for SRS ( [3, 0] |-> [3, 1, 1, 2], [0, 0] ->= [0, 1, 1, 2], [1, 0] ->= [], [2, 1] ->= [0, 2]) 120.18/30.38 reason 120.18/30.38 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 120.18/30.38 interpretation 120.18/30.38 0 Wk / - 0A 0A 0A \ 120.18/30.38 | 0A 3A 3A 3A | 120.18/30.38 | - 1A 3A 4A | 120.18/30.38 \ - - - 0A / 120.18/30.38 1 Wk / 3A 0A 0A 4A \ 120.18/30.38 | 0A - - - | 120.18/30.38 | - 0A - - | 120.18/30.38 \ - - - 0A / 120.18/30.38 2 Wk / - 0A 0A 0A \ 120.18/30.38 | 0A - - 0A | 120.18/30.38 | 0A - - - | 120.18/30.38 \ - - - 0A / 120.18/30.38 3 Wk / - - 2A 3A \ 120.18/30.38 | - - - - | 120.18/30.38 | - - - - | 120.18/30.38 \ - - - 0A / 120.18/30.38 [3, 0] |-> [3, 1, 1, 2] 120.18/30.38 lhs rhs ge gt 120.18/30.38 Wk / - 3A 5A 6A \ Wk / - 2A 2A 3A \ True True 120.18/30.38 | - - - - | | - - - - | 120.18/30.38 | - - - - | | - - - - | 120.18/30.38 \ - - - 0A / \ - - - 0A / 120.18/30.38 [0, 0] ->= [0, 1, 1, 2] 120.18/30.38 lhs rhs ge gt 120.18/30.38 Wk / 0A 3A 3A 4A \ Wk / 0A 3A 3A 4A \ True False 120.18/30.38 | 3A 6A 6A 7A | | 3A 6A 6A 7A | 120.18/30.38 | 1A 4A 6A 7A | | 1A 4A 4A 5A | 120.18/30.38 \ - - - 0A / \ - - - 0A / 120.18/30.38 [1, 0] ->= [] 120.18/30.39 lhs rhs ge gt 120.18/30.39 Wk / 0A 3A 3A 4A \ Wk / 0A - - - \ True False 120.18/30.39 | - 0A 0A 0A | | - 0A - - | 120.18/30.39 | 0A 3A 3A 3A | | - - 0A - | 120.18/30.39 \ - - - 0A / \ - - - 0A / 120.18/30.39 [2, 1] ->= [0, 2] 120.18/30.39 lhs rhs ge gt 120.18/30.39 Wk / 0A 0A - 0A \ Wk / 0A - - 0A \ True False 120.18/30.39 | 3A 0A 0A 4A | | 3A 0A 0A 3A | 120.18/30.39 | 3A 0A 0A 4A | | 3A - - 4A | 120.18/30.39 \ - - - 0A / \ - - - 0A / 120.18/30.39 property Termination 120.18/30.39 has value True 120.18/30.39 for SRS ( [0, 0] ->= [0, 1, 1, 2], [1, 0] ->= [], [2, 1] ->= [0, 2]) 120.18/30.39 reason 120.18/30.39 EDG has 0 SCCs 120.18/30.39 120.18/30.39 property Termination 120.18/30.39 has value True 120.18/30.39 for SRS ( [5, 1] |-> [5], [0, 0] ->= [0, 1, 1, 2], [1, 0] ->= [], [2, 1] ->= [0, 2]) 120.18/30.39 reason 120.18/30.39 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 120.18/30.39 interpretation 120.18/30.39 0 Wk / - - 0A 0A \ 120.18/30.39 | 0A 3A 4A - | 120.18/30.39 | 0A 0A 3A 3A | 120.18/30.39 \ - - - 0A / 120.18/30.39 1 Wk / 3A - 0A 3A \ 120.18/30.39 | 0A - 0A 4A | 120.18/30.39 | 0A - - - | 120.18/30.39 \ - - - 0A / 120.45/30.40 2 Wk / - - 0A 0A \ 120.45/30.40 | 3A - 0A - | 120.45/30.40 | 0A - - - | 120.45/30.40 \ - - - 0A / 120.45/30.40 5 Wk / 0A - - 1A \ 120.45/30.40 | - - - - | 120.45/30.40 | - - - - | 120.45/30.40 \ - - - 0A / 120.45/30.40 [5, 1] |-> [5] 120.45/30.40 lhs rhs ge gt 120.45/30.40 Wk / 3A - 0A 3A \ Wk / 0A - - 1A \ True True 120.45/30.40 | - - - - | | - - - - | 120.45/30.40 | - - - - | | - - - - | 120.45/30.40 \ - - - 0A / \ - - - 0A / 120.45/30.40 [0, 0] ->= [0, 1, 1, 2] 120.45/30.40 lhs rhs ge gt 120.45/30.40 Wk / 0A 0A 3A 3A \ Wk / 0A - 3A 3A \ True False 120.45/30.40 | 4A 6A 7A 7A | | 4A - 7A 7A | 120.45/30.40 | 3A 3A 6A 6A | | 3A - 6A 6A | 120.45/30.40 \ - - - 0A / \ - - - 0A / 120.45/30.40 [1, 0] ->= [] 120.45/30.40 lhs rhs ge gt 120.45/30.40 Wk / 0A 0A 3A 3A \ Wk / 0A - - - \ True False 120.45/30.40 | 0A 0A 3A 4A | | - 0A - - | 120.45/30.40 | - - 0A 0A | | - - 0A - | 120.45/30.40 \ - - - 0A / \ - - - 0A / 120.45/30.40 [2, 1] ->= [0, 2] 120.45/30.40 lhs rhs ge gt 120.45/30.40 Wk / 0A - - 0A \ Wk / 0A - - 0A \ True False 120.45/30.40 | 6A - 3A 6A | | 6A - 3A 0A | 120.45/30.40 | 3A - 0A 3A | | 3A - 0A 3A | 120.45/30.40 \ - - - 0A / \ - - - 0A / 120.45/30.40 property Termination 120.45/30.40 has value True 120.45/30.40 for SRS ( [0, 0] ->= [0, 1, 1, 2], [1, 0] ->= [], [2, 1] ->= [0, 2]) 120.45/30.40 reason 120.45/30.40 EDG has 0 SCCs 120.45/30.40 120.45/30.40 ************************************************** 120.45/30.40 summary 120.45/30.40 ************************************************** 120.45/30.40 SRS with 3 rules on 3 letters Remap { tracing = False} 120.45/30.40 SRS with 3 rules on 3 letters DP transform 120.45/30.40 SRS with 9 rules on 6 letters Remap { tracing = False} 120.45/30.40 SRS with 9 rules on 6 letters weights 120.45/30.40 SRS with 7 rules on 5 letters EDG 120.45/30.40 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 120.45/30.40 SRS with 6 rules on 5 letters weights 120.45/30.40 SRS with 5 rules on 5 letters EDG 120.45/30.40 2 sub-proofs 120.45/30.42 1 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 120.45/30.42 SRS with 3 rules on 3 letters EDG 120.45/30.42 120.45/30.42 2 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 120.45/30.42 SRS with 3 rules on 3 letters EDG 120.45/30.42 120.45/30.42 ************************************************** 120.45/30.42 (3, 3)\Deepee(9, 6)\Weight(7, 5)\Matrix{\Arctic}{4}(6, 5)\Weight(5, 5)\EDG[(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[],(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[]] 120.45/30.42 ************************************************** 120.45/30.45 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]} 120.45/30.46 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 120.74/30.54 EOF