284.37/72.06 YES 284.37/72.06 property Termination 284.37/72.06 has value True 284.37/72.06 for SRS ( [a, b, a] -> [b, c], [b, b, b] -> [c, b], [c] -> [a, b], [c, d] -> [d, c, b, a]) 284.37/72.06 reason 284.37/72.06 remap for 4 rules 284.37/72.06 property Termination 284.37/72.06 has value True 284.37/72.06 for SRS ( [0, 1, 0] -> [1, 2], [1, 1, 1] -> [2, 1], [2] -> [0, 1], [2, 3] -> [3, 2, 1, 0]) 284.37/72.06 reason 284.37/72.06 DP transform 284.37/72.06 property Termination 284.37/72.06 has value True 284.37/72.06 for SRS ( [0, 1, 0] ->= [1, 2], [1, 1, 1] ->= [2, 1], [2] ->= [0, 1], [2, 3] ->= [3, 2, 1, 0], [0#, 1, 0] |-> [1#, 2], [0#, 1, 0] |-> [2#], [1#, 1, 1] |-> [2#, 1], [2#] |-> [0#, 1], [2#] |-> [1#], [2#, 3] |-> [2#, 1, 0], [2#, 3] |-> [1#, 0], [2#, 3] |-> [0#]) 284.37/72.06 reason 284.37/72.06 remap for 12 rules 284.37/72.06 property Termination 284.37/72.06 has value True 284.37/72.06 for SRS ( [0, 1, 0] ->= [1, 2], [1, 1, 1] ->= [2, 1], [2] ->= [0, 1], [2, 3] ->= [3, 2, 1, 0], [4, 1, 0] |-> [5, 2], [4, 1, 0] |-> [6], [5, 1, 1] |-> [6, 1], [6] |-> [4, 1], [6] |-> [5], [6, 3] |-> [6, 1, 0], [6, 3] |-> [5, 0], [6, 3] |-> [4]) 284.37/72.06 reason 284.37/72.06 weights 284.37/72.06 Map [(3, 3/1)] 284.37/72.06 284.37/72.06 property Termination 284.37/72.06 has value True 284.37/72.06 for SRS ( [0, 1, 0] ->= [1, 2], [1, 1, 1] ->= [2, 1], [2] ->= [0, 1], [2, 3] ->= [3, 2, 1, 0], [4, 1, 0] |-> [5, 2], [4, 1, 0] |-> [6], [5, 1, 1] |-> [6, 1], [6] |-> [4, 1], [6] |-> [5]) 284.37/72.06 reason 284.37/72.06 EDG has 1 SCCs 284.37/72.06 property Termination 284.37/72.06 has value True 284.51/72.09 for SRS ( [4, 1, 0] |-> [5, 2], [5, 1, 1] |-> [6, 1], [6] |-> [5], [6] |-> [4, 1], [4, 1, 0] |-> [6], [0, 1, 0] ->= [1, 2], [1, 1, 1] ->= [2, 1], [2] ->= [0, 1], [2, 3] ->= [3, 2, 1, 0]) 284.51/72.09 reason 284.51/72.09 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 284.51/72.09 interpretation 284.51/72.09 0 Wk / 2A 0A 0A 4A \ 284.51/72.09 | 3A 2A - 4A | 284.51/72.09 | 2A - 2A - | 284.51/72.09 \ - - - 0A / 284.51/72.09 1 Wk / - - 1A 0A \ 284.51/72.09 | - 1A 3A 4A | 284.51/72.09 | 1A 0A 2A - | 284.51/72.09 \ - - - 0A / 284.51/72.09 2 Wk / 1A 1A 3A 5A \ 284.51/72.09 | 4A 3A 5A 6A | 284.51/72.09 | 4A 2A 4A 2A | 284.51/72.09 \ - - - 0A / 284.51/72.09 3 Wk / - - - 2A \ 284.51/72.09 | - - - 4A | 284.51/72.09 | - - - - | 284.51/72.09 \ - - - 0A / 284.51/72.09 4 Wk / 4A 2A 0A 7A \ 284.51/72.09 | - - 2A - | 284.51/72.09 | - - - - | 284.51/72.09 \ - - - 0A / 284.51/72.09 5 Wk / - 0A 3A 5A \ 284.51/72.09 | 0A 1A 2A 3A | 284.51/72.09 | - - - - | 284.51/72.09 \ - - - 0A / 284.51/72.10 6 Wk / 5A 3A 5A 7A \ 284.51/72.10 | 4A 2A 4A 6A | 284.51/72.10 | - - - - | 284.51/72.10 \ - - - 0A / 284.51/72.10 [4, 1, 0] |-> [5, 2] 284.51/72.10 lhs rhs ge gt 284.51/72.10 Wk / 7A 5A 7A 7A \ Wk / 7A 5A 7A 6A \ True False 284.51/72.10 | 6A 4A 6A 7A | | 6A 4A 6A 7A | 284.51/72.10 | - - - - | | - - - - | 284.51/72.10 \ - - - 0A / \ - - - 0A / 284.51/72.10 [5, 1, 1] |-> [6, 1] 284.51/72.10 lhs rhs ge gt 284.51/72.10 Wk / 6A 5A 7A 7A \ Wk / 6A 5A 7A 7A \ True False 284.51/72.10 | 5A 4A 6A 6A | | 5A 4A 6A 6A | 284.51/72.10 | - - - - | | - - - - | 284.51/72.10 \ - - - 0A / \ - - - 0A / 284.51/72.10 [6] |-> [5] 284.51/72.12 lhs rhs ge gt 284.51/72.12 Wk / 5A 3A 5A 7A \ Wk / - 0A 3A 5A \ True True 284.51/72.12 | 4A 2A 4A 6A | | 0A 1A 2A 3A | 284.51/72.12 | - - - - | | - - - - | 284.51/72.12 \ - - - 0A / \ - - - 0A / 284.51/72.12 [6] |-> [4, 1] 284.51/72.12 lhs rhs ge gt 284.51/72.12 Wk / 5A 3A 5A 7A \ Wk / 1A 3A 5A 7A \ True False 284.51/72.12 | 4A 2A 4A 6A | | 3A 2A 4A - | 284.51/72.12 | - - - - | | - - - - | 284.51/72.12 \ - - - 0A / \ - - - 0A / 284.51/72.12 [4, 1, 0] |-> [6] 284.51/72.12 lhs rhs ge gt 284.51/72.12 Wk / 7A 5A 7A 7A \ Wk / 5A 3A 5A 7A \ True False 284.51/72.12 | 6A 4A 6A 7A | | 4A 2A 4A 6A | 284.51/72.12 | - - - - | | - - - - | 284.51/72.12 \ - - - 0A / \ - - - 0A / 284.51/72.12 [0, 1, 0] ->= [1, 2] 284.51/72.14 lhs rhs ge gt 284.51/72.14 Wk / 5A 3A 5A 5A \ Wk / 5A 3A 5A 3A \ True False 284.51/72.14 | 7A 5A 7A 7A | | 7A 5A 7A 7A | 284.51/72.14 | 6A 4A 6A 7A | | 6A 4A 6A 6A | 284.51/72.14 \ - - - 0A / \ - - - 0A / 284.51/72.14 [1, 1, 1] ->= [2, 1] 284.51/72.14 lhs rhs ge gt 284.51/72.14 Wk / 4A 3A 5A 5A \ Wk / 4A 3A 5A 5A \ True False 284.51/72.14 | 6A 5A 7A 7A | | 6A 5A 7A 7A | 284.51/72.14 | 5A 4A 6A 6A | | 5A 4A 6A 6A | 284.51/72.14 \ - - - 0A / \ - - - 0A / 284.51/72.14 [2] ->= [0, 1] 284.51/72.14 lhs rhs ge gt 284.51/72.14 Wk / 1A 1A 3A 5A \ Wk / 1A 1A 3A 4A \ True False 284.51/72.14 | 4A 3A 5A 6A | | - 3A 5A 6A | 284.51/72.14 | 4A 2A 4A 2A | | 3A 2A 4A 2A | 284.51/72.14 \ - - - 0A / \ - - - 0A / 284.51/72.14 [2, 3] ->= [3, 2, 1, 0] 284.81/72.15 lhs rhs ge gt 284.81/72.15 Wk / - - - 5A \ Wk / - - - 2A \ True True 284.81/72.15 | - - - 7A | | - - - 4A | 284.81/72.15 | - - - 6A | | - - - - | 284.81/72.15 \ - - - 0A / \ - - - 0A / 284.81/72.15 property Termination 284.81/72.15 has value True 284.81/72.15 for SRS ( [4, 1, 0] |-> [5, 2], [5, 1, 1] |-> [6, 1], [6] |-> [4, 1], [4, 1, 0] |-> [6], [0, 1, 0] ->= [1, 2], [1, 1, 1] ->= [2, 1], [2] ->= [0, 1], [2, 3] ->= [3, 2, 1, 0]) 284.81/72.15 reason 284.81/72.15 EDG has 1 SCCs 284.81/72.15 property Termination 284.81/72.15 has value True 284.81/72.15 for SRS ( [4, 1, 0] |-> [5, 2], [5, 1, 1] |-> [6, 1], [6] |-> [4, 1], [4, 1, 0] |-> [6], [0, 1, 0] ->= [1, 2], [1, 1, 1] ->= [2, 1], [2] ->= [0, 1], [2, 3] ->= [3, 2, 1, 0]) 284.81/72.15 reason 284.81/72.15 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 284.81/72.15 interpretation 284.81/72.15 0 Wk / 0A 1A 1A 0A \ 284.81/72.15 | 2A 1A - 1A | 284.81/72.15 | 2A 4A - 4A | 284.81/72.15 \ - - - 0A / 284.81/72.16 1 Wk / 1A - 1A - \ 284.81/72.16 | 2A 1A - 0A | 284.81/72.16 | 2A 4A 0A 1A | 284.81/72.16 \ - - - 0A / 284.81/72.16 2 Wk / 3A 5A 2A 2A \ 284.81/72.16 | 3A 2A 3A 3A | 284.81/72.16 | 6A 5A 3A 5A | 284.81/72.16 \ - - - 0A / 284.81/72.16 3 Wk / - - - 2A \ 284.81/72.16 | - - - 1A | 284.81/72.16 | - - - - | 284.81/72.16 \ - - - 0A / 284.81/72.16 4 Wk / 2A - - 6A \ 284.81/72.16 | 0A - - 0A | 284.81/72.16 | - - - - | 284.81/72.16 \ - - - 0A / 284.81/72.16 5 Wk / 2A 1A - 6A \ 284.81/72.16 | 0A - - 2A | 284.81/72.16 | - - - - | 284.81/72.16 \ - - - 0A / 284.81/72.16 6 Wk / 3A 2A 3A 6A \ 284.81/72.16 | 1A 1A 1A 0A | 284.81/72.16 | - - - - | 284.81/72.16 \ - - - 0A / 284.81/72.16 [4, 1, 0] |-> [5, 2] 284.81/72.16 lhs rhs ge gt 284.81/72.16 Wk / 5A 7A 4A 7A \ Wk / 5A 7A 4A 6A \ True False 284.81/72.16 | 3A 5A 2A 5A | | 3A 5A 2A 2A | 284.81/72.17 | - - - - | | - - - - | 284.81/72.17 \ - - - 0A / \ - - - 0A / 284.81/72.17 [5, 1, 1] |-> [6, 1] 284.81/72.17 lhs rhs ge gt 284.81/72.17 Wk / 5A 7A 4A 6A \ Wk / 5A 7A 4A 6A \ True False 284.81/72.17 | 3A 5A 2A 2A | | 3A 5A 2A 2A | 284.81/72.17 | - - - - | | - - - - | 284.81/72.17 \ - - - 0A / \ - - - 0A / 284.81/72.17 [6] |-> [4, 1] 284.81/72.17 lhs rhs ge gt 284.81/72.17 Wk / 3A 2A 3A 6A \ Wk / 3A - 3A 6A \ True False 284.81/72.17 | 1A 1A 1A 0A | | 1A - 1A 0A | 284.81/72.17 | - - - - | | - - - - | 284.81/72.17 \ - - - 0A / \ - - - 0A / 284.81/72.17 [4, 1, 0] |-> [6] 284.96/72.19 lhs rhs ge gt 284.96/72.19 Wk / 5A 7A 4A 7A \ Wk / 3A 2A 3A 6A \ True True 284.96/72.19 | 3A 5A 2A 5A | | 1A 1A 1A 0A | 284.96/72.19 | - - - - | | - - - - | 284.96/72.19 \ - - - 0A / \ - - - 0A / 284.96/72.19 [0, 1, 0] ->= [1, 2] 284.96/72.19 lhs rhs ge gt 284.96/72.19 Wk / 7A 6A 4A 6A \ Wk / 7A 6A 4A 6A \ True False 284.96/72.19 | 5A 7A 4A 7A | | 5A 7A 4A 4A | 284.96/72.19 | 7A 7A 7A 7A | | 7A 7A 7A 7A | 284.96/72.19 \ - - - 0A / \ - - - 0A / 284.96/72.19 [1, 1, 1] ->= [2, 1] 284.96/72.19 lhs rhs ge gt 284.96/72.19 Wk / 7A 6A 4A 5A \ Wk / 7A 6A 4A 5A \ True False 284.96/72.19 | 5A 7A 4A 4A | | 5A 7A 4A 4A | 284.96/72.19 | 7A 7A 7A 5A | | 7A 7A 7A 5A | 284.96/72.19 \ - - - 0A / \ - - - 0A / 284.96/72.19 [2] ->= [0, 1] 284.96/72.20 lhs rhs ge gt 284.96/72.20 Wk / 3A 5A 2A 2A \ Wk / 3A 5A 1A 2A \ True False 284.96/72.20 | 3A 2A 3A 3A | | 3A 2A 3A 1A | 284.96/72.20 | 6A 5A 3A 5A | | 6A 5A 3A 4A | 284.96/72.20 \ - - - 0A / \ - - - 0A / 284.96/72.20 [2, 3] ->= [3, 2, 1, 0] 284.96/72.20 lhs rhs ge gt 284.96/72.20 Wk / - - - 6A \ Wk / - - - 2A \ True True 284.96/72.20 | - - - 5A | | - - - 1A | 284.96/72.20 | - - - 8A | | - - - - | 284.96/72.20 \ - - - 0A / \ - - - 0A / 284.96/72.20 property Termination 284.96/72.20 has value True 284.96/72.20 for SRS ( [4, 1, 0] |-> [5, 2], [5, 1, 1] |-> [6, 1], [6] |-> [4, 1], [0, 1, 0] ->= [1, 2], [1, 1, 1] ->= [2, 1], [2] ->= [0, 1], [2, 3] ->= [3, 2, 1, 0]) 284.96/72.20 reason 284.96/72.20 EDG has 1 SCCs 284.96/72.20 property Termination 284.96/72.20 has value True 284.96/72.20 for SRS ( [4, 1, 0] |-> [5, 2], [5, 1, 1] |-> [6, 1], [6] |-> [4, 1], [0, 1, 0] ->= [1, 2], [1, 1, 1] ->= [2, 1], [2] ->= [0, 1], [2, 3] ->= [3, 2, 1, 0]) 284.96/72.20 reason 284.96/72.20 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 284.96/72.20 interpretation 284.96/72.20 0 Wk / 2A - 1A 1A \ 284.96/72.22 | 1A - - 0A | 284.96/72.22 | 2A 3A 2A 4A | 284.96/72.22 \ - - - 0A / 284.96/72.22 1 Wk / - 0A 1A 0A \ 284.96/72.22 | 0A 2A 0A 2A | 284.96/72.22 | 1A 3A 1A 2A | 284.96/72.22 \ - - - 0A / 284.96/72.22 2 Wk / 3A 4A 3A 3A \ 284.96/72.22 | 1A 1A 2A 4A | 284.96/72.22 | 4A 5A 4A 5A | 284.96/72.22 \ - - - 0A / 284.96/72.22 3 Wk / - - - 0A \ 284.96/72.22 | - - - - | 284.96/72.22 | - - - 3A | 284.96/72.22 \ - - - 0A / 284.96/72.22 4 Wk / 2A 0A - 2A \ 284.96/72.22 | 1A 0A - - | 284.96/72.22 | - - - - | 284.96/72.22 \ - - - 0A / 284.96/72.22 5 Wk / - 3A - 7A \ 284.96/72.22 | 0A 2A - 3A | 284.96/72.22 | - - - - | 284.96/72.22 \ - - - 0A / 284.96/72.22 6 Wk / 1A 4A 3A 3A \ 284.96/72.22 | 1A 3A 2A 2A | 284.96/72.22 | - - - - | 284.96/72.22 \ - - - 0A / 284.96/72.22 [4, 1, 0] |-> [5, 2] 284.96/72.23 lhs rhs ge gt 284.96/72.23 Wk / 5A 6A 5A 7A \ Wk / 4A 4A 5A 7A \ True False 284.96/72.23 | 4A 5A 4A 6A | | 3A 4A 4A 6A | 284.96/72.23 | - - - - | | - - - - | 284.96/72.23 \ - - - 0A / \ - - - 0A / 284.96/72.23 [5, 1, 1] |-> [6, 1] 284.96/72.23 lhs rhs ge gt 284.96/72.23 Wk / 5A 7A 5A 7A \ Wk / 4A 6A 4A 6A \ True True 284.96/72.23 | 4A 6A 4A 6A | | 3A 5A 3A 5A | 284.96/72.23 | - - - - | | - - - - | 284.96/72.23 \ - - - 0A / \ - - - 0A / 284.96/72.23 [6] |-> [4, 1] 284.96/72.23 lhs rhs ge gt 284.96/72.23 Wk / 1A 4A 3A 3A \ Wk / 0A 2A 3A 2A \ True False 284.96/72.23 | 1A 3A 2A 2A | | 0A 2A 2A 2A | 284.96/72.23 | - - - - | | - - - - | 284.96/72.23 \ - - - 0A / \ - - - 0A / 284.96/72.23 [0, 1, 0] ->= [1, 2] 285.22/72.25 lhs rhs ge gt 285.22/72.25 Wk / 5A 6A 5A 7A \ Wk / 5A 6A 5A 6A \ True False 285.22/72.25 | 4A 5A 4A 6A | | 4A 5A 4A 6A | 285.22/72.25 | 6A 6A 5A 7A | | 5A 6A 5A 7A | 285.22/72.25 \ - - - 0A / \ - - - 0A / 285.22/72.25 [1, 1, 1] ->= [2, 1] 285.22/72.25 lhs rhs ge gt 285.22/72.25 Wk / 4A 6A 4A 6A \ Wk / 4A 6A 4A 6A \ True False 285.22/72.25 | 4A 6A 4A 6A | | 3A 5A 3A 4A | 285.22/72.25 | 5A 7A 5A 7A | | 5A 7A 5A 7A | 285.22/72.25 \ - - - 0A / \ - - - 0A / 285.22/72.25 [2] ->= [0, 1] 285.22/72.26 lhs rhs ge gt 285.22/72.26 Wk / 3A 4A 3A 3A \ Wk / 2A 4A 3A 3A \ True False 285.22/72.26 | 1A 1A 2A 4A | | - 1A 2A 1A | 285.22/72.26 | 4A 5A 4A 5A | | 3A 5A 3A 5A | 285.22/72.26 \ - - - 0A / \ - - - 0A / 285.22/72.26 [2, 3] ->= [3, 2, 1, 0] 285.22/72.26 lhs rhs ge gt 285.22/72.26 Wk / - - - 6A \ Wk / - - - 0A \ True True 285.22/72.26 | - - - 5A | | - - - - | 285.22/72.26 | - - - 7A | | - - - 3A | 285.22/72.26 \ - - - 0A / \ - - - 0A / 285.22/72.26 property Termination 285.22/72.26 has value True 285.22/72.26 for SRS ( [4, 1, 0] |-> [5, 2], [6] |-> [4, 1], [0, 1, 0] ->= [1, 2], [1, 1, 1] ->= [2, 1], [2] ->= [0, 1], [2, 3] ->= [3, 2, 1, 0]) 285.22/72.26 reason 285.22/72.26 weights 285.22/72.26 Map [(4, 1/1), (6, 2/1)] 285.22/72.26 285.22/72.26 property Termination 285.22/72.26 has value True 285.22/72.26 for SRS ( [0, 1, 0] ->= [1, 2], [1, 1, 1] ->= [2, 1], [2] ->= [0, 1], [2, 3] ->= [3, 2, 1, 0]) 285.22/72.26 reason 285.22/72.26 EDG has 0 SCCs 285.22/72.26 285.22/72.26 ************************************************** 285.22/72.26 summary 285.22/72.26 ************************************************** 285.22/72.26 SRS with 4 rules on 4 letters Remap { tracing = False} 285.22/72.26 SRS with 4 rules on 4 letters DP transform 285.22/72.26 SRS with 12 rules on 7 letters Remap { tracing = False} 285.30/72.27 SRS with 12 rules on 7 letters weights 285.30/72.27 SRS with 9 rules on 7 letters EDG 285.30/72.27 SRS with 9 rules on 7 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 285.30/72.27 SRS with 8 rules on 7 letters EDG 285.30/72.27 SRS with 8 rules on 7 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 285.30/72.27 SRS with 7 rules on 7 letters EDG 285.30/72.27 SRS with 7 rules on 7 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 285.30/72.27 SRS with 6 rules on 7 letters weights 285.30/72.27 SRS with 4 rules on 4 letters EDG 285.30/72.27 285.30/72.27 ************************************************** 285.30/72.27 (4, 4)\Deepee(12, 7)\Weight(9, 7)\Matrix{\Arctic}{4}(8, 7)\Matrix{\Arctic}{4}(7, 7)\Matrix{\Arctic}{4}(6, 7)\Weight(4, 4)\EDG[] 285.30/72.27 ************************************************** 285.52/72.35 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]} 285.65/72.36 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 286.57/72.71 EOF