41.02/10.45 YES 41.02/10.45 property Termination 41.02/10.45 has value True 41.02/10.45 for SRS ( [a, a] -> [a, b, c, b], [b, c] -> [], [c, b] -> [a, c]) 41.02/10.45 reason 41.02/10.45 remap for 3 rules 41.02/10.46 property Termination 41.02/10.46 has value True 41.63/10.54 for SRS ( [0, 0] -> [0, 1, 2, 1], [1, 2] -> [], [2, 1] -> [0, 2]) 41.63/10.54 reason 41.63/10.54 DP transform 41.63/10.54 property Termination 41.63/10.54 has value True 41.63/10.54 for SRS ( [0, 0] ->= [0, 1, 2, 1], [1, 2] ->= [], [2, 1] ->= [0, 2], [0#, 0] |-> [0#, 1, 2, 1], [0#, 0] |-> [1#, 2, 1], [0#, 0] |-> [2#, 1], [0#, 0] |-> [1#], [2#, 1] |-> [0#, 2], [2#, 1] |-> [2#]) 41.63/10.54 reason 41.63/10.54 remap for 9 rules 41.63/10.54 property Termination 41.63/10.54 has value True 41.63/10.54 for SRS ( [0, 0] ->= [0, 1, 2, 1], [1, 2] ->= [], [2, 1] ->= [0, 2], [3, 0] |-> [3, 1, 2, 1], [3, 0] |-> [4, 2, 1], [3, 0] |-> [5, 1], [3, 0] |-> [4], [5, 1] |-> [3, 2], [5, 1] |-> [5]) 41.63/10.54 reason 41.63/10.54 weights 41.63/10.54 Map [(3, 1/2), (5, 1/2)] 41.63/10.54 41.63/10.54 property Termination 41.63/10.54 has value True 41.63/10.54 for SRS ( [0, 0] ->= [0, 1, 2, 1], [1, 2] ->= [], [2, 1] ->= [0, 2], [3, 0] |-> [3, 1, 2, 1], [3, 0] |-> [5, 1], [5, 1] |-> [3, 2], [5, 1] |-> [5]) 41.63/10.54 reason 41.63/10.54 EDG has 1 SCCs 41.63/10.54 property Termination 41.63/10.54 has value True 41.63/10.54 for SRS ( [3, 0] |-> [3, 1, 2, 1], [3, 0] |-> [5, 1], [5, 1] |-> [5], [5, 1] |-> [3, 2], [0, 0] ->= [0, 1, 2, 1], [1, 2] ->= [], [2, 1] ->= [0, 2]) 41.63/10.54 reason 41.63/10.54 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 41.63/10.54 interpretation 41.63/10.54 0 / 0A 3A 3A \ 41.63/10.54 | 0A 3A 3A | 41.63/10.54 \ -3A 0A 0A / 41.63/10.54 1 / 0A 0A 3A \ 41.63/10.54 | 0A 0A 3A | 41.63/10.54 \ 0A 0A 3A / 41.63/10.54 2 / 0A 0A 0A \ 41.63/10.54 | -3A -3A 0A | 41.63/10.54 \ -3A -3A -3A / 41.63/10.54 3 / 12A 15A 15A \ 41.63/10.54 | 12A 15A 15A | 41.63/10.54 \ 12A 15A 15A / 41.63/10.54 5 / 13A 15A 15A \ 41.63/10.54 | 13A 15A 15A | 41.63/10.54 \ 13A 15A 15A / 41.63/10.54 [3, 0] |-> [3, 1, 2, 1] 41.63/10.54 lhs rhs ge gt 41.63/10.54 / 15A 18A 18A \ / 15A 15A 18A \ True False 41.63/10.54 | 15A 18A 18A | | 15A 15A 18A | 41.63/10.54 \ 15A 18A 18A / \ 15A 15A 18A / 41.63/10.54 [3, 0] |-> [5, 1] 41.63/10.54 lhs rhs ge gt 41.63/10.54 / 15A 18A 18A \ / 15A 15A 18A \ True False 41.63/10.54 | 15A 18A 18A | | 15A 15A 18A | 41.63/10.54 \ 15A 18A 18A / \ 15A 15A 18A / 41.63/10.54 [5, 1] |-> [5] 41.63/10.54 lhs rhs ge gt 41.63/10.54 / 15A 15A 18A \ / 13A 15A 15A \ True False 41.63/10.54 | 15A 15A 18A | | 13A 15A 15A | 41.63/10.54 \ 15A 15A 18A / \ 13A 15A 15A / 41.63/10.54 [5, 1] |-> [3, 2] 41.63/10.54 lhs rhs ge gt 41.63/10.54 / 15A 15A 18A \ / 12A 12A 15A \ True True 41.63/10.54 | 15A 15A 18A | | 12A 12A 15A | 41.63/10.54 \ 15A 15A 18A / \ 12A 12A 15A / 41.63/10.54 [0, 0] ->= [0, 1, 2, 1] 41.63/10.54 lhs rhs ge gt 41.63/10.54 / 3A 6A 6A \ / 3A 3A 6A \ True False 41.63/10.54 | 3A 6A 6A | | 3A 3A 6A | 41.63/10.54 \ 0A 3A 3A / \ 0A 0A 3A / 41.63/10.54 [1, 2] ->= [] 41.63/10.54 lhs rhs ge gt 41.63/10.54 / 0A 0A 0A \ / 0A - - \ True False 41.63/10.54 | 0A 0A 0A | | - 0A - | 41.63/10.54 \ 0A 0A 0A / \ - - 0A / 41.63/10.54 [2, 1] ->= [0, 2] 41.63/10.54 lhs rhs ge gt 41.63/10.54 / 0A 0A 3A \ / 0A 0A 3A \ True False 41.63/10.54 | 0A 0A 3A | | 0A 0A 3A | 41.63/10.54 \ -3A -3A 0A / \ -3A -3A 0A / 41.63/10.54 property Termination 41.63/10.54 has value True 41.63/10.54 for SRS ( [3, 0] |-> [3, 1, 2, 1], [3, 0] |-> [5, 1], [5, 1] |-> [5], [0, 0] ->= [0, 1, 2, 1], [1, 2] ->= [], [2, 1] ->= [0, 2]) 41.63/10.54 reason 41.63/10.54 weights 41.63/10.54 Map [(3, 1/1)] 41.63/10.54 41.63/10.54 property Termination 41.63/10.54 has value True 41.63/10.54 for SRS ( [3, 0] |-> [3, 1, 2, 1], [5, 1] |-> [5], [0, 0] ->= [0, 1, 2, 1], [1, 2] ->= [], [2, 1] ->= [0, 2]) 41.63/10.54 reason 41.63/10.54 EDG has 2 SCCs 41.63/10.54 property Termination 41.63/10.54 has value True 41.63/10.54 for SRS ( [3, 0] |-> [3, 1, 2, 1], [0, 0] ->= [0, 1, 2, 1], [1, 2] ->= [], [2, 1] ->= [0, 2]) 41.63/10.54 reason 41.63/10.54 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 41.63/10.54 interpretation 41.63/10.54 0 Wk / - - - 0A \ 41.63/10.54 | - - - 4A | 41.63/10.54 | 3A - 1A 4A | 41.63/10.54 \ - - - 0A / 41.63/10.54 1 Wk / 0A - - - \ 41.63/10.54 | 1A 2A 1A 0A | 41.63/10.54 | 0A - - - | 41.63/10.54 \ - - - 0A / 41.63/10.54 2 Wk / 1A - 1A 0A \ 41.63/10.54 | 6A 5A 7A - | 41.63/10.54 | - 5A 3A 3A | 41.63/10.54 \ - - - 0A / 41.63/10.54 3 Wk / - - 3A 6A \ 41.63/10.54 | - - - - | 41.63/10.54 | - - - - | 41.63/10.54 \ - - - 0A / 41.63/10.54 [3, 0] |-> [3, 1, 2, 1] 42.23/10.76 lhs rhs ge gt 42.68/10.80 Wk / 6A - 4A 7A \ Wk / 4A - - 6A \ True True 42.68/10.80 | - - - - | | - - - - | 42.68/10.80 | - - - - | | - - - - | 42.68/10.80 \ - - - 0A / \ - - - 0A / 42.68/10.80 [0, 0] ->= [0, 1, 2, 1] 42.68/10.80 lhs rhs ge gt 42.68/10.80 Wk / - - - 0A \ Wk / - - - 0A \ True False 42.68/10.80 | - - - 4A | | - - - 4A | 42.68/10.80 | 4A - 2A 5A | | 4A - - 4A | 42.68/10.80 \ - - - 0A / \ - - - 0A / 42.68/10.80 [1, 2] ->= [] 42.68/10.80 lhs rhs ge gt 42.68/10.80 Wk / 1A - 1A 0A \ Wk / 0A - - - \ True True 42.68/10.80 | 8A 7A 9A 4A | | - 0A - - | 42.68/10.80 | 1A - 1A 0A | | - - 0A - | 42.68/10.80 \ - - - 0A / \ - - - 0A / 42.68/10.80 [2, 1] ->= [0, 2] 42.68/10.82 lhs rhs ge gt 42.68/10.82 Wk / 1A - - 0A \ Wk / - - - 0A \ True False 42.68/10.82 | 7A 7A 6A 5A | | - - - 4A | 42.68/10.82 | 6A 7A 6A 5A | | 4A 6A 4A 4A | 42.68/10.82 \ - - - 0A / \ - - - 0A / 42.68/10.82 property Termination 42.68/10.82 has value True 42.68/10.82 for SRS ( [0, 0] ->= [0, 1, 2, 1], [1, 2] ->= [], [2, 1] ->= [0, 2]) 42.68/10.82 reason 42.68/10.82 EDG has 0 SCCs 42.68/10.82 42.68/10.82 property Termination 42.68/10.82 has value True 42.68/10.82 for SRS ( [5, 1] |-> [5], [0, 0] ->= [0, 1, 2, 1], [1, 2] ->= [], [2, 1] ->= [0, 2]) 42.68/10.82 reason 42.68/10.82 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 42.68/10.82 interpretation 42.68/10.82 0 / 0A 3A 3A \ 42.68/10.82 | 0A 3A 3A | 42.68/10.82 \ -3A 0A 0A / 42.68/10.82 1 / 0A 0A 3A \ 42.68/10.82 | 0A 0A 3A | 42.68/10.82 \ 0A 0A 3A / 42.68/10.82 2 / 0A 0A 0A \ 42.68/10.82 | -3A -3A 0A | 42.68/10.82 \ -3A -3A -3A / 42.68/10.82 5 / 28A 28A 29A \ 42.68/10.82 | 28A 28A 29A | 42.68/10.82 \ 28A 28A 29A / 42.68/10.82 [5, 1] |-> [5] 42.68/10.82 lhs rhs ge gt 42.68/10.82 / 29A 29A 32A \ / 28A 28A 29A \ True True 42.68/10.82 | 29A 29A 32A | | 28A 28A 29A | 42.68/10.82 \ 29A 29A 32A / \ 28A 28A 29A / 42.68/10.82 [0, 0] ->= [0, 1, 2, 1] 42.68/10.82 lhs rhs ge gt 42.68/10.82 / 3A 6A 6A \ / 3A 3A 6A \ True False 42.68/10.82 | 3A 6A 6A | | 3A 3A 6A | 42.68/10.82 \ 0A 3A 3A / \ 0A 0A 3A / 42.68/10.82 [1, 2] ->= [] 42.68/10.82 lhs rhs ge gt 42.68/10.82 / 0A 0A 0A \ / 0A - - \ True False 42.68/10.82 | 0A 0A 0A | | - 0A - | 42.68/10.82 \ 0A 0A 0A / \ - - 0A / 42.68/10.82 [2, 1] ->= [0, 2] 42.68/10.82 lhs rhs ge gt 42.68/10.82 / 0A 0A 3A \ / 0A 0A 3A \ True False 42.68/10.82 | 0A 0A 3A | | 0A 0A 3A | 42.68/10.82 \ -3A -3A 0A / \ -3A -3A 0A / 42.82/10.86 property Termination 42.82/10.86 has value True 42.82/10.86 for SRS ( [0, 0] ->= [0, 1, 2, 1], [1, 2] ->= [], [2, 1] ->= [0, 2]) 42.82/10.86 reason 42.82/10.86 EDG has 0 SCCs 42.82/10.86 42.82/10.86 ************************************************** 42.82/10.86 summary 42.82/10.86 ************************************************** 42.82/10.86 SRS with 3 rules on 3 letters Remap { tracing = False} 42.82/10.86 SRS with 3 rules on 3 letters DP transform 42.82/10.86 SRS with 9 rules on 6 letters Remap { tracing = False} 42.82/10.86 SRS with 9 rules on 6 letters weights 42.82/10.86 SRS with 7 rules on 5 letters EDG 42.82/10.86 SRS with 7 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 42.82/10.86 SRS with 6 rules on 5 letters weights 42.82/10.86 SRS with 5 rules on 5 letters EDG 42.82/10.86 2 sub-proofs 42.82/10.86 1 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 42.82/10.86 SRS with 3 rules on 3 letters EDG 42.82/10.86 42.82/10.86 2 SRS with 4 rules on 4 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = True} 42.82/10.86 SRS with 3 rules on 3 letters EDG 42.82/10.86 42.82/10.86 ************************************************** 42.82/10.86 (3, 3)\Deepee(9, 6)\Weight(7, 5)\Matrix{\Arctic}{3}(6, 5)\Weight(5, 5)\EDG[(4, 4)\Matrix{\Arctic}{4}(3, 3)\EDG[],(4, 4)\Matrix{\Arctic}{3}(3, 3)\EDG[]] 42.82/10.86 ************************************************** 43.11/10.96 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]} 43.11/10.96 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 43.72/11.09 EOF