871.83/219.86 YES 871.83/219.86 property Termination 871.83/219.86 has value True 871.83/219.86 for SRS ( [b, b, a, a, a, b] -> [b, a, a, a, b, a, b], [b, b] -> [b, a, b, a, b, a, b], [b, a, b, a, a, a, b, a, b] -> [b, b, a, a, b], [b, a, a, b] -> [b, a, a, a, b]) 871.83/219.86 reason 871.83/219.86 remap for 4 rules 871.83/219.86 property Termination 871.83/219.86 has value True 871.83/219.86 for SRS ( [0, 0, 1, 1, 1, 0] -> [0, 1, 1, 1, 0, 1, 0], [0, 0] -> [0, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0] -> [0, 0, 1, 1, 0], [0, 1, 1, 0] -> [0, 1, 1, 1, 0]) 871.83/219.86 reason 871.83/219.86 DP transform 871.83/219.86 property Termination 871.83/219.86 has value True 871.83/219.86 for SRS ( [0, 0, 1, 1, 1, 0] ->= [0, 1, 1, 1, 0, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0] ->= [0, 0, 1, 1, 0], [0, 1, 1, 0] ->= [0, 1, 1, 1, 0], [0#, 0, 1, 1, 1, 0] |-> [0#, 1, 1, 1, 0, 1, 0], [0#, 0, 1, 1, 1, 0] |-> [0#, 1, 0], [0#, 0] |-> [0#, 1, 0, 1, 0, 1, 0], [0#, 0] |-> [0#, 1, 0, 1, 0], [0#, 0] |-> [0#, 1, 0], [0#, 1, 0, 1, 1, 1, 0, 1, 0] |-> [0#, 0, 1, 1, 0], [0#, 1, 0, 1, 1, 1, 0, 1, 0] |-> [0#, 1, 1, 0], [0#, 1, 1, 0] |-> [0#, 1, 1, 1, 0]) 871.83/219.86 reason 871.83/219.86 remap for 12 rules 871.83/219.86 property Termination 871.83/219.86 has value True 871.83/219.86 for SRS ( [0, 0, 1, 1, 1, 0] ->= [0, 1, 1, 1, 0, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0] ->= [0, 0, 1, 1, 0], [0, 1, 1, 0] ->= [0, 1, 1, 1, 0], [2, 0, 1, 1, 1, 0] |-> [2, 1, 1, 1, 0, 1, 0], [2, 0, 1, 1, 1, 0] |-> [2, 1, 0], [2, 0] |-> [2, 1, 0, 1, 0, 1, 0], [2, 0] |-> [2, 1, 0, 1, 0], [2, 0] |-> [2, 1, 0], [2, 1, 0, 1, 1, 1, 0, 1, 0] |-> [2, 0, 1, 1, 0], [2, 1, 0, 1, 1, 1, 0, 1, 0] |-> [2, 1, 1, 0], [2, 1, 1, 0] |-> [2, 1, 1, 1, 0]) 871.83/219.86 reason 871.83/219.86 EDG has 1 SCCs 871.83/219.86 property Termination 871.83/219.86 has value True 871.83/219.86 for SRS ( [2, 1, 0, 1, 1, 1, 0, 1, 0] |-> [2, 0, 1, 1, 0], [2, 0] |-> [2, 1, 0], [2, 0] |-> [2, 1, 0, 1, 0], [2, 0] |-> [2, 1, 0, 1, 0, 1, 0], [2, 0, 1, 1, 1, 0] |-> [2, 1, 0], [0, 0, 1, 1, 1, 0] ->= [0, 1, 1, 1, 0, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0] ->= [0, 0, 1, 1, 0], [0, 1, 1, 0] ->= [0, 1, 1, 1, 0]) 871.83/219.86 reason 871.83/219.86 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 871.83/219.86 interpretation 871.83/219.86 0 / 0A 0A \ 871.83/219.86 \ -2A -2A / 871.83/219.86 1 / 0A 2A \ 871.83/219.86 \ 0A 0A / 871.83/219.86 2 / 18A 18A \ 871.83/219.86 \ 18A 18A / 871.83/219.86 [2, 1, 0, 1, 1, 1, 0, 1, 0] |-> [2, 0, 1, 1, 0] 871.83/219.86 lhs rhs ge gt 871.83/219.86 / 20A 20A \ / 20A 20A \ True False 871.83/219.86 \ 20A 20A / \ 20A 20A / 871.83/219.86 [2, 0] |-> [2, 1, 0] 871.83/219.86 lhs rhs ge gt 871.83/219.86 / 18A 18A \ / 18A 18A \ True False 871.83/219.86 \ 18A 18A / \ 18A 18A / 871.83/219.86 [2, 0] |-> [2, 1, 0, 1, 0] 871.83/219.86 lhs rhs ge gt 871.83/219.86 / 18A 18A \ / 18A 18A \ True False 871.83/219.86 \ 18A 18A / \ 18A 18A / 871.83/219.86 [2, 0] |-> [2, 1, 0, 1, 0, 1, 0] 871.83/219.86 lhs rhs ge gt 871.83/219.86 / 18A 18A \ / 18A 18A \ True False 871.83/219.86 \ 18A 18A / \ 18A 18A / 871.83/219.86 [2, 0, 1, 1, 1, 0] |-> [2, 1, 0] 871.83/219.86 lhs rhs ge gt 871.83/219.86 / 20A 20A \ / 18A 18A \ True True 871.83/219.86 \ 20A 20A / \ 18A 18A / 871.83/219.86 [0, 0, 1, 1, 1, 0] ->= [0, 1, 1, 1, 0, 1, 0] 871.83/219.86 lhs rhs ge gt 871.83/219.86 / 2A 2A \ / 2A 2A \ True False 871.83/219.86 \ 0A 0A / \ 0A 0A / 871.83/219.86 [0, 0] ->= [0, 1, 0, 1, 0, 1, 0] 871.83/219.86 lhs rhs ge gt 871.83/219.86 / 0A 0A \ / 0A 0A \ True False 871.83/219.86 \ -2A -2A / \ -2A -2A / 871.83/219.86 [0, 1, 0, 1, 1, 1, 0, 1, 0] ->= [0, 0, 1, 1, 0] 871.83/219.86 lhs rhs ge gt 871.83/219.86 / 2A 2A \ / 2A 2A \ True False 871.83/219.86 \ 0A 0A / \ 0A 0A / 871.83/219.86 [0, 1, 1, 0] ->= [0, 1, 1, 1, 0] 871.83/219.86 lhs rhs ge gt 871.83/219.86 / 2A 2A \ / 2A 2A \ True False 871.83/219.86 \ 0A 0A / \ 0A 0A / 871.83/219.86 property Termination 871.83/219.86 has value True 871.83/219.87 for SRS ( [2, 1, 0, 1, 1, 1, 0, 1, 0] |-> [2, 0, 1, 1, 0], [2, 0] |-> [2, 1, 0], [2, 0] |-> [2, 1, 0, 1, 0], [2, 0] |-> [2, 1, 0, 1, 0, 1, 0], [0, 0, 1, 1, 1, 0] ->= [0, 1, 1, 1, 0, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0] ->= [0, 0, 1, 1, 0], [0, 1, 1, 0] ->= [0, 1, 1, 1, 0]) 871.83/219.87 reason 871.83/219.87 EDG has 1 SCCs 871.83/219.87 property Termination 871.83/219.87 has value True 871.83/219.87 for SRS ( [2, 1, 0, 1, 1, 1, 0, 1, 0] |-> [2, 0, 1, 1, 0], [2, 0] |-> [2, 1, 0, 1, 0, 1, 0], [2, 0] |-> [2, 1, 0, 1, 0], [2, 0] |-> [2, 1, 0], [0, 0, 1, 1, 1, 0] ->= [0, 1, 1, 1, 0, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0] ->= [0, 0, 1, 1, 0], [0, 1, 1, 0] ->= [0, 1, 1, 1, 0]) 871.83/219.87 reason 871.83/219.87 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 871.83/219.87 interpretation 871.83/219.87 0 Wk / 0 2 0 0 \ 871.83/219.87 | 0 1 0 3 | 871.83/219.87 | 0 1 0 1 | 871.83/219.87 \ 0 0 0 1 / 871.83/219.87 1 Wk / 1 0 0 0 \ 871.83/219.87 | 0 0 1 0 | 871.83/219.87 | 1 0 0 0 | 871.83/219.87 \ 0 0 0 1 / 871.83/219.87 2 Wk / 0 2 0 1 \ 871.83/219.87 | 0 0 0 0 | 871.83/219.87 | 0 0 0 0 | 871.83/219.87 \ 0 0 0 1 / 871.83/219.87 [2, 1, 0, 1, 1, 1, 0, 1, 0] |-> [2, 0, 1, 1, 0] 871.83/219.87 lhs rhs ge gt 871.83/219.87 Wk / 0 4 0 7 \ Wk / 0 4 0 7 \ True False 871.83/219.87 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.87 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.87 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.87 [2, 0] |-> [2, 1, 0, 1, 0, 1, 0] 871.83/219.87 lhs rhs ge gt 871.83/219.87 Wk / 0 2 0 7 \ Wk / 0 2 0 7 \ True False 871.83/219.87 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.87 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.87 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.87 [2, 0] |-> [2, 1, 0, 1, 0] 871.83/219.87 lhs rhs ge gt 871.83/219.87 Wk / 0 2 0 7 \ Wk / 0 2 0 5 \ True True 871.83/219.87 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.87 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.87 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.87 [2, 0] |-> [2, 1, 0] 871.83/219.87 lhs rhs ge gt 871.83/219.87 Wk / 0 2 0 7 \ Wk / 0 2 0 3 \ True True 871.83/219.87 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.87 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.87 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.87 [0, 0, 1, 1, 1, 0] ->= [0, 1, 1, 1, 0, 1, 0] 871.83/219.87 lhs rhs ge gt 871.83/219.87 Wk / 0 4 0 6 \ Wk / 0 4 0 4 \ True True 871.83/219.87 | 0 2 0 6 | | 0 2 0 5 | 871.83/219.87 | 0 2 0 4 | | 0 2 0 3 | 871.83/219.87 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.87 [0, 0] ->= [0, 1, 0, 1, 0, 1, 0] 871.83/219.87 lhs rhs ge gt 871.83/219.87 Wk / 0 2 0 6 \ Wk / 0 2 0 6 \ True False 871.83/219.87 | 0 1 0 6 | | 0 1 0 6 | 871.83/219.87 | 0 1 0 4 | | 0 1 0 4 | 871.83/219.87 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.87 [0, 1, 0, 1, 1, 1, 0, 1, 0] ->= [0, 0, 1, 1, 0] 871.83/219.87 lhs rhs ge gt 871.83/219.87 Wk / 0 4 0 6 \ Wk / 0 4 0 6 \ True False 871.83/219.87 | 0 2 0 6 | | 0 2 0 6 | 871.83/219.87 | 0 2 0 4 | | 0 2 0 4 | 871.83/219.87 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.87 [0, 1, 1, 0] ->= [0, 1, 1, 1, 0] 871.83/219.87 lhs rhs ge gt 871.83/219.87 Wk / 0 4 0 0 \ Wk / 0 4 0 0 \ True False 871.83/219.87 | 0 2 0 3 | | 0 2 0 3 | 871.83/219.87 | 0 2 0 1 | | 0 2 0 1 | 871.83/219.87 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.87 property Termination 871.83/219.87 has value True 871.83/219.87 for SRS ( [2, 1, 0, 1, 1, 1, 0, 1, 0] |-> [2, 0, 1, 1, 0], [2, 0] |-> [2, 1, 0, 1, 0, 1, 0], [0, 0, 1, 1, 1, 0] ->= [0, 1, 1, 1, 0, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0] ->= [0, 0, 1, 1, 0], [0, 1, 1, 0] ->= [0, 1, 1, 1, 0]) 871.83/219.87 reason 871.83/219.87 EDG has 1 SCCs 871.83/219.87 property Termination 871.83/219.87 has value True 871.83/219.87 for SRS ( [2, 1, 0, 1, 1, 1, 0, 1, 0] |-> [2, 0, 1, 1, 0], [2, 0] |-> [2, 1, 0, 1, 0, 1, 0], [0, 0, 1, 1, 1, 0] ->= [0, 1, 1, 1, 0, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0] ->= [0, 0, 1, 1, 0], [0, 1, 1, 0] ->= [0, 1, 1, 1, 0]) 871.83/219.87 reason 871.83/219.88 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 871.83/219.88 interpretation 871.83/219.88 0 Wk / 0 0 0 3 \ 871.83/219.88 | 1 1 0 0 | 871.83/219.88 | 0 0 0 0 | 871.83/219.88 \ 0 0 0 1 / 871.83/219.88 1 Wk / 0 0 2 1 \ 871.83/219.88 | 0 1 0 0 | 871.83/219.88 | 0 1 0 0 | 871.83/219.88 \ 0 0 0 1 / 871.83/219.88 2 Wk / 1 1 0 1 \ 871.83/219.88 | 0 0 0 0 | 871.83/219.88 | 0 0 0 0 | 871.83/219.88 \ 0 0 0 1 / 871.83/219.88 [2, 1, 0, 1, 1, 1, 0, 1, 0] |-> [2, 0, 1, 1, 0] 871.83/219.88 lhs rhs ge gt 871.83/219.88 Wk / 3 3 0 6 \ Wk / 3 3 0 5 \ True True 871.83/219.88 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.88 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.88 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.88 [2, 0] |-> [2, 1, 0, 1, 0, 1, 0] 871.83/219.88 lhs rhs ge gt 871.83/219.88 Wk / 1 1 0 4 \ Wk / 1 1 0 4 \ True False 871.83/219.88 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.88 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.88 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.88 [0, 0, 1, 1, 1, 0] ->= [0, 1, 1, 1, 0, 1, 0] 871.83/219.88 lhs rhs ge gt 871.83/219.88 Wk / 0 0 0 3 \ Wk / 0 0 0 3 \ True False 871.83/219.88 | 3 3 0 4 | | 3 3 0 4 | 871.83/219.88 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.88 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.88 [0, 0] ->= [0, 1, 0, 1, 0, 1, 0] 871.83/219.88 lhs rhs ge gt 871.83/219.88 Wk / 0 0 0 3 \ Wk / 0 0 0 3 \ True False 871.83/219.88 | 1 1 0 3 | | 1 1 0 3 | 871.83/219.88 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.88 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.88 [0, 1, 0, 1, 1, 1, 0, 1, 0] ->= [0, 0, 1, 1, 0] 871.83/219.88 lhs rhs ge gt 871.83/219.88 Wk / 0 0 0 3 \ Wk / 0 0 0 3 \ True False 871.83/219.88 | 3 3 0 5 | | 3 3 0 4 | 871.83/219.88 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.88 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.88 [0, 1, 1, 0] ->= [0, 1, 1, 1, 0] 871.83/219.88 lhs rhs ge gt 871.83/219.88 Wk / 0 0 0 3 \ Wk / 0 0 0 3 \ True False 871.83/219.88 | 3 3 0 1 | | 3 3 0 1 | 871.83/219.88 | 0 0 0 0 | | 0 0 0 0 | 871.83/219.88 \ 0 0 0 1 / \ 0 0 0 1 / 871.83/219.88 property Termination 871.83/219.88 has value True 871.83/219.88 for SRS ( [2, 0] |-> [2, 1, 0, 1, 0, 1, 0], [0, 0, 1, 1, 1, 0] ->= [0, 1, 1, 1, 0, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0, 1, 0], [0, 1, 0, 1, 1, 1, 0, 1, 0] ->= [0, 0, 1, 1, 0], [0, 1, 1, 0] ->= [0, 1, 1, 1, 0]) 871.83/219.88 reason 871.83/219.88 EDG has 0 SCCs 871.83/219.88 871.83/219.88 ************************************************** 871.83/219.88 summary 871.83/219.88 ************************************************** 871.83/219.88 SRS with 4 rules on 2 letters Remap { tracing = False} 871.83/219.88 SRS with 4 rules on 2 letters DP transform 871.83/219.88 SRS with 12 rules on 3 letters Remap { tracing = False} 871.83/219.88 SRS with 12 rules on 3 letters EDG 871.83/219.88 SRS with 9 rules on 3 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 871.83/219.88 SRS with 8 rules on 3 letters EDG 871.83/219.88 SRS with 8 rules on 3 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 871.83/219.88 SRS with 6 rules on 3 letters EDG 871.83/219.88 SRS with 6 rules on 3 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 871.83/219.88 SRS with 5 rules on 3 letters EDG 871.83/219.88 871.83/219.88 ************************************************** 871.83/219.88 (4, 2)\Deepee(12, 3)\EDG(9, 3)\Matrix{\Arctic}{2}(8, 3)\Matrix{\Natural}{4}(6, 3)\Matrix{\Natural}{4}(5, 3)\EDG[] 871.83/219.88 ************************************************** 871.83/219.90 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]} 871.83/219.90 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 872.95/220.92 EOF