95.22/24.06 YES 95.22/24.06 property Termination 95.22/24.07 has value True 95.22/24.09 for SRS ( [b, b] -> [c, d], [c, c] -> [d, d, d], [c] -> [g], [d, d] -> [c, f], [d, d, d] -> [g, c], [f] -> [a, g], [g] -> [d, a, b], [g, g] -> [b, c]) 95.22/24.09 reason 95.22/24.09 remap for 8 rules 95.22/24.09 property Termination 95.22/24.09 has value True 95.22/24.11 for SRS ( [0, 0] -> [1, 2], [1, 1] -> [2, 2, 2], [1] -> [3], [2, 2] -> [1, 4], [2, 2, 2] -> [3, 1], [4] -> [5, 3], [3] -> [2, 5, 0], [3, 3] -> [0, 1]) 95.22/24.11 reason 95.22/24.11 DP transform 95.22/24.11 property Termination 95.22/24.11 has value True 95.58/24.17 for SRS ( [0, 0] ->= [1, 2], [1, 1] ->= [2, 2, 2], [1] ->= [3], [2, 2] ->= [1, 4], [2, 2, 2] ->= [3, 1], [4] ->= [5, 3], [3] ->= [2, 5, 0], [3, 3] ->= [0, 1], [0#, 0] |-> [1#, 2], [0#, 0] |-> [2#], [1#, 1] |-> [2#, 2, 2], [1#, 1] |-> [2#, 2], [1#, 1] |-> [2#], [1#] |-> [3#], [2#, 2] |-> [1#, 4], [2#, 2] |-> [4#], [2#, 2, 2] |-> [3#, 1], [2#, 2, 2] |-> [1#], [4#] |-> [3#], [3#] |-> [2#, 5, 0], [3#] |-> [0#], [3#, 3] |-> [0#, 1], [3#, 3] |-> [1#]) 95.58/24.17 reason 95.58/24.18 remap for 23 rules 95.58/24.18 property Termination 95.58/24.18 has value True 95.75/24.21 for SRS ( [0, 0] ->= [1, 2], [1, 1] ->= [2, 2, 2], [1] ->= [3], [2, 2] ->= [1, 4], [2, 2, 2] ->= [3, 1], [4] ->= [5, 3], [3] ->= [2, 5, 0], [3, 3] ->= [0, 1], [6, 0] |-> [7, 2], [6, 0] |-> [8], [7, 1] |-> [8, 2, 2], [7, 1] |-> [8, 2], [7, 1] |-> [8], [7] |-> [9], [8, 2] |-> [7, 4], [8, 2] |-> [10], [8, 2, 2] |-> [9, 1], [8, 2, 2] |-> [7], [10] |-> [9], [9] |-> [8, 5, 0], [9] |-> [6], [9, 3] |-> [6, 1], [9, 3] |-> [7]) 95.75/24.21 reason 95.75/24.21 EDG has 1 SCCs 95.75/24.21 property Termination 95.75/24.22 has value True 95.75/24.25 for SRS ( [6, 0] |-> [7, 2], [7] |-> [9], [9, 3] |-> [7], [7, 1] |-> [8], [8, 2, 2] |-> [7], [7, 1] |-> [8, 2], [8, 2, 2] |-> [9, 1], [9, 3] |-> [6, 1], [6, 0] |-> [8], [8, 2] |-> [10], [10] |-> [9], [9] |-> [6], [8, 2] |-> [7, 4], [7, 1] |-> [8, 2, 2], [0, 0] ->= [1, 2], [1, 1] ->= [2, 2, 2], [1] ->= [3], [2, 2] ->= [1, 4], [2, 2, 2] ->= [3, 1], [4] ->= [5, 3], [3] ->= [2, 5, 0], [3, 3] ->= [0, 1]) 95.75/24.25 reason 95.75/24.25 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 95.75/24.25 interpretation 95.75/24.25 0 / 0A 0A \ 95.75/24.25 \ 0A 0A / 95.75/24.25 1 / 0A 0A \ 95.75/24.25 \ 0A 0A / 95.75/24.25 2 / 0A 0A \ 95.75/24.25 \ 0A 0A / 95.75/24.25 3 / 0A 0A \ 95.75/24.25 \ 0A 0A / 95.75/24.25 4 / 0A 0A \ 95.75/24.25 \ -2A -2A / 95.75/24.25 5 / 0A 0A \ 95.75/24.25 \ -2A -2A / 95.75/24.25 6 / 15A 16A \ 95.75/24.25 \ 15A 16A / 95.75/24.25 7 / 15A 16A \ 95.75/24.25 \ 15A 16A / 95.75/24.26 8 / 14A 16A \ 95.75/24.26 \ 14A 16A / 95.75/24.26 9 / 15A 16A \ 95.75/24.26 \ 15A 16A / 95.75/24.26 10 / 16A 16A \ 95.75/24.26 \ 16A 16A / 95.75/24.26 [6, 0] |-> [7, 2] 95.75/24.26 lhs rhs ge gt 95.75/24.26 / 16A 16A \ / 16A 16A \ True False 95.75/24.26 \ 16A 16A / \ 16A 16A / 95.75/24.26 [7] |-> [9] 95.75/24.26 lhs rhs ge gt 95.75/24.26 / 15A 16A \ / 15A 16A \ True False 95.75/24.26 \ 15A 16A / \ 15A 16A / 95.75/24.26 [9, 3] |-> [7] 95.75/24.26 lhs rhs ge gt 95.75/24.26 / 16A 16A \ / 15A 16A \ True False 95.75/24.26 \ 16A 16A / \ 15A 16A / 95.96/24.26 [7, 1] |-> [8] 95.96/24.26 lhs rhs ge gt 95.96/24.26 / 16A 16A \ / 14A 16A \ True False 95.96/24.26 \ 16A 16A / \ 14A 16A / 95.96/24.26 [8, 2, 2] |-> [7] 95.96/24.26 lhs rhs ge gt 95.96/24.26 / 16A 16A \ / 15A 16A \ True False 95.96/24.26 \ 16A 16A / \ 15A 16A / 95.96/24.26 [7, 1] |-> [8, 2] 95.96/24.26 lhs rhs ge gt 95.96/24.26 / 16A 16A \ / 16A 16A \ True False 95.96/24.26 \ 16A 16A / \ 16A 16A / 95.96/24.26 [8, 2, 2] |-> [9, 1] 95.96/24.26 lhs rhs ge gt 95.96/24.26 / 16A 16A \ / 16A 16A \ True False 95.96/24.26 \ 16A 16A / \ 16A 16A / 95.96/24.26 [9, 3] |-> [6, 1] 95.96/24.26 lhs rhs ge gt 95.96/24.26 / 16A 16A \ / 16A 16A \ True False 95.96/24.26 \ 16A 16A / \ 16A 16A / 95.96/24.26 [6, 0] |-> [8] 95.96/24.26 lhs rhs ge gt 95.96/24.26 / 16A 16A \ / 14A 16A \ True False 95.96/24.26 \ 16A 16A / \ 14A 16A / 95.96/24.26 [8, 2] |-> [10] 95.96/24.26 lhs rhs ge gt 95.96/24.26 / 16A 16A \ / 16A 16A \ True False 95.96/24.26 \ 16A 16A / \ 16A 16A / 95.96/24.26 [10] |-> [9] 95.96/24.26 lhs rhs ge gt 95.96/24.26 / 16A 16A \ / 15A 16A \ True False 95.96/24.26 \ 16A 16A / \ 15A 16A / 95.96/24.27 [9] |-> [6] 95.96/24.27 lhs rhs ge gt 95.96/24.27 / 15A 16A \ / 15A 16A \ True False 95.96/24.27 \ 15A 16A / \ 15A 16A / 95.96/24.27 [8, 2] |-> [7, 4] 95.96/24.27 lhs rhs ge gt 95.96/24.28 / 16A 16A \ / 15A 15A \ True True 95.96/24.28 \ 16A 16A / \ 15A 15A / 95.96/24.28 [7, 1] |-> [8, 2, 2] 95.96/24.28 lhs rhs ge gt 95.96/24.28 / 16A 16A \ / 16A 16A \ True False 95.96/24.28 \ 16A 16A / \ 16A 16A / 95.96/24.28 [0, 0] ->= [1, 2] 95.96/24.28 lhs rhs ge gt 95.96/24.28 / 0A 0A \ / 0A 0A \ True False 95.96/24.28 \ 0A 0A / \ 0A 0A / 95.96/24.28 [1, 1] ->= [2, 2, 2] 95.96/24.28 lhs rhs ge gt 95.96/24.28 / 0A 0A \ / 0A 0A \ True False 95.96/24.28 \ 0A 0A / \ 0A 0A / 95.96/24.28 [1] ->= [3] 95.96/24.28 lhs rhs ge gt 95.96/24.28 / 0A 0A \ / 0A 0A \ True False 95.96/24.28 \ 0A 0A / \ 0A 0A / 95.96/24.29 [2, 2] ->= [1, 4] 95.96/24.29 lhs rhs ge gt 95.96/24.29 / 0A 0A \ / 0A 0A \ True False 95.96/24.29 \ 0A 0A / \ 0A 0A / 95.96/24.29 [2, 2, 2] ->= [3, 1] 95.96/24.29 lhs rhs ge gt 95.96/24.29 / 0A 0A \ / 0A 0A \ True False 95.96/24.29 \ 0A 0A / \ 0A 0A / 95.96/24.29 [4] ->= [5, 3] 95.96/24.29 lhs rhs ge gt 95.96/24.29 / 0A 0A \ / 0A 0A \ True False 95.96/24.29 \ -2A -2A / \ -2A -2A / 95.96/24.29 [3] ->= [2, 5, 0] 95.96/24.29 lhs rhs ge gt 95.96/24.29 / 0A 0A \ / 0A 0A \ True False 95.96/24.29 \ 0A 0A / \ 0A 0A / 95.96/24.29 [3, 3] ->= [0, 1] 95.96/24.29 lhs rhs ge gt 95.96/24.29 / 0A 0A \ / 0A 0A \ True False 95.96/24.29 \ 0A 0A / \ 0A 0A / 95.96/24.29 property Termination 95.96/24.29 has value True 95.96/24.31 for SRS ( [6, 0] |-> [7, 2], [7] |-> [9], [9, 3] |-> [7], [7, 1] |-> [8], [8, 2, 2] |-> [7], [7, 1] |-> [8, 2], [8, 2, 2] |-> [9, 1], [9, 3] |-> [6, 1], [6, 0] |-> [8], [8, 2] |-> [10], [10] |-> [9], [9] |-> [6], [7, 1] |-> [8, 2, 2], [0, 0] ->= [1, 2], [1, 1] ->= [2, 2, 2], [1] ->= [3], [2, 2] ->= [1, 4], [2, 2, 2] ->= [3, 1], [4] ->= [5, 3], [3] ->= [2, 5, 0], [3, 3] ->= [0, 1]) 95.96/24.31 reason 95.96/24.31 EDG has 1 SCCs 95.96/24.31 property Termination 95.96/24.31 has value True 96.33/24.36 for SRS ( [6, 0] |-> [7, 2], [7, 1] |-> [8, 2, 2], [8, 2] |-> [10], [10] |-> [9], [9] |-> [6], [6, 0] |-> [8], [8, 2, 2] |-> [9, 1], [9, 3] |-> [6, 1], [9, 3] |-> [7], [7, 1] |-> [8, 2], [8, 2, 2] |-> [7], [7, 1] |-> [8], [7] |-> [9], [0, 0] ->= [1, 2], [1, 1] ->= [2, 2, 2], [1] ->= [3], [2, 2] ->= [1, 4], [2, 2, 2] ->= [3, 1], [4] ->= [5, 3], [3] ->= [2, 5, 0], [3, 3] ->= [0, 1]) 96.33/24.36 reason 96.33/24.36 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 96.33/24.36 interpretation 96.33/24.38 0 Wk / - - 1A 1A \ 96.33/24.38 | 5A 2A - - | 96.33/24.38 | 2A 1A 3A 4A | 96.33/24.38 \ - - - 0A / 96.33/24.38 1 Wk / 2A - 1A 1A \ 96.33/24.38 | 5A 2A 4A 4A | 96.33/24.38 | 3A 1A 3A 0A | 96.33/24.38 \ - - - 0A / 96.33/24.38 2 Wk / 1A - 0A 1A \ 96.33/24.38 | 4A 0A 3A 3A | 96.33/24.38 | - 0A 2A - | 96.33/24.38 \ - - - 0A / 96.33/24.39 3 Wk / 2A - 1A 1A \ 96.33/24.39 | 5A 1A 3A 4A | 96.33/24.39 | - 1A 3A - | 96.33/24.39 \ - - - 0A / 96.33/24.39 4 Wk / - - - 0A \ 96.33/24.39 | - - - - | 96.33/24.39 | - - - 0A | 96.33/24.39 \ - - - 0A / 96.33/24.39 5 Wk / - - - 0A \ 96.33/24.39 | - - - - | 96.33/24.39 | - - - - | 96.33/24.39 \ - - - 0A / 96.33/24.40 6 Wk / - 0A 2A 0A \ 96.33/24.40 | - - 3A 6A | 96.33/24.40 | - - - - | 96.33/24.40 \ - - - 0A / 96.49/24.40 7 Wk / 4A 1A 3A 1A \ 96.49/24.40 | 3A 1A 4A 7A | 96.49/24.40 | - - - - | 96.49/24.40 \ - - - 0A / 96.49/24.40 8 Wk / 3A - 2A 3A \ 96.49/24.40 | - 2A - 7A | 96.49/24.40 | - - - - | 96.49/24.40 \ - - - 0A / 96.49/24.40 9 Wk / 4A 1A 3A 1A \ 96.49/24.40 | - 1A 4A 7A | 96.49/24.41 | - - - - | 96.49/24.41 \ - - - 0A / 96.49/24.41 10 Wk / 4A 2A 4A 4A \ 96.49/24.41 | - 1A 4A 7A | 96.49/24.41 | - - - - | 96.49/24.41 \ - - - 0A / 96.49/24.41 [6, 0] |-> [7, 2] 96.49/24.42 lhs rhs ge gt 96.49/24.42 Wk / 5A 3A 5A 6A \ Wk / 5A 3A 5A 5A \ True False 96.49/24.42 | 5A 4A 6A 7A | | 5A 4A 6A 7A | 96.49/24.42 | - - - - | | - - - - | 96.49/24.42 \ - - - 0A / \ - - - 0A / 96.49/24.43 [7, 1] |-> [8, 2, 2] 96.66/24.50 lhs rhs ge gt 96.66/24.50 Wk / 6A 4A 6A 5A \ Wk / 6A 4A 6A 5A \ True False 96.66/24.50 | 7A 5A 7A 7A | | 7A 5A 7A 7A | 96.66/24.50 | - - - - | | - - - - | 96.66/24.50 \ - - - 0A / \ - - - 0A / 96.66/24.50 [8, 2] |-> [10] 96.66/24.51 lhs rhs ge gt 96.66/24.51 Wk / 4A 2A 4A 4A \ Wk / 4A 2A 4A 4A \ True False 96.66/24.51 | 6A 2A 5A 7A | | - 1A 4A 7A | 96.66/24.51 | - - - - | | - - - - | 96.66/24.51 \ - - - 0A / \ - - - 0A / 96.66/24.51 [10] |-> [9] 96.66/24.53 lhs rhs ge gt 97.02/24.54 Wk / 4A 2A 4A 4A \ Wk / 4A 1A 3A 1A \ True False 97.02/24.54 | - 1A 4A 7A | | - 1A 4A 7A | 97.02/24.54 | - - - - | | - - - - | 97.02/24.54 \ - - - 0A / \ - - - 0A / 97.02/24.54 [9] |-> [6] 97.02/24.56 lhs rhs ge gt 97.02/24.56 Wk / 4A 1A 3A 1A \ Wk / - 0A 2A 0A \ True True 97.02/24.56 | - 1A 4A 7A | | - - 3A 6A | 97.02/24.56 | - - - - | | - - - - | 97.02/24.56 \ - - - 0A / \ - - - 0A / 97.02/24.57 [6, 0] |-> [8] 97.24/24.62 lhs rhs ge gt 97.24/24.63 Wk / 5A 3A 5A 6A \ Wk / 3A - 2A 3A \ True False 97.24/24.63 | 5A 4A 6A 7A | | - 2A - 7A | 97.24/24.63 | - - - - | | - - - - | 97.24/24.63 \ - - - 0A / \ - - - 0A / 97.24/24.63 [8, 2, 2] |-> [9, 1] 97.45/24.73 lhs rhs ge gt 97.45/24.73 Wk / 6A 4A 6A 5A \ Wk / 6A 4A 6A 5A \ True False 97.45/24.73 | 7A 5A 7A 7A | | 7A 5A 7A 7A | 97.45/24.73 | - - - - | | - - - - | 97.45/24.73 \ - - - 0A / \ - - - 0A / 97.45/24.74 [9, 3] |-> [6, 1] 97.83/24.76 lhs rhs ge gt 97.83/24.76 Wk / 6A 4A 6A 5A \ Wk / 5A 3A 5A 4A \ True False 97.83/24.76 | 6A 5A 7A 7A | | 6A 4A 6A 6A | 97.83/24.76 | - - - - | | - - - - | 97.83/24.76 \ - - - 0A / \ - - - 0A / 97.83/24.76 [9, 3] |-> [7] 97.83/24.78 lhs rhs ge gt 97.83/24.78 Wk / 6A 4A 6A 5A \ Wk / 4A 1A 3A 1A \ True False 97.83/24.78 | 6A 5A 7A 7A | | 3A 1A 4A 7A | 97.83/24.78 | - - - - | | - - - - | 97.83/24.78 \ - - - 0A / \ - - - 0A / 97.83/24.78 [7, 1] |-> [8, 2] 97.83/24.78 lhs rhs ge gt 97.83/24.78 Wk / 6A 4A 6A 5A \ Wk / 4A 2A 4A 4A \ True False 97.83/24.78 | 7A 5A 7A 7A | | 6A 2A 5A 7A | 97.83/24.78 | - - - - | | - - - - | 97.83/24.78 \ - - - 0A / \ - - - 0A / 97.83/24.78 [8, 2, 2] |-> [7] 97.83/24.78 lhs rhs ge gt 97.83/24.79 Wk / 6A 4A 6A 5A \ Wk / 4A 1A 3A 1A \ True False 97.83/24.79 | 7A 5A 7A 7A | | 3A 1A 4A 7A | 97.83/24.79 | - - - - | | - - - - | 97.83/24.79 \ - - - 0A / \ - - - 0A / 97.83/24.79 [7, 1] |-> [8] 97.83/24.79 lhs rhs ge gt 97.83/24.79 Wk / 6A 4A 6A 5A \ Wk / 3A - 2A 3A \ True False 97.83/24.79 | 7A 5A 7A 7A | | - 2A - 7A | 97.83/24.79 | - - - - | | - - - - | 97.83/24.79 \ - - - 0A / \ - - - 0A / 97.83/24.79 [7] |-> [9] 97.96/24.81 lhs rhs ge gt 97.96/24.81 Wk / 4A 1A 3A 1A \ Wk / 4A 1A 3A 1A \ True False 97.96/24.81 | 3A 1A 4A 7A | | - 1A 4A 7A | 97.96/24.81 | - - - - | | - - - - | 97.96/24.81 \ - - - 0A / \ - - - 0A / 97.96/24.81 [0, 0] ->= [1, 2] 97.96/24.83 lhs rhs ge gt 97.96/24.83 Wk / 3A 2A 4A 5A \ Wk / 3A 1A 3A 3A \ True False 97.96/24.83 | 7A 4A 6A 6A | | 6A 4A 6A 6A | 97.96/24.83 | 6A 4A 6A 7A | | 5A 3A 5A 4A | 97.96/24.83 \ - - - 0A / \ - - - 0A / 97.96/24.83 [1, 1] ->= [2, 2, 2] 98.12/24.87 lhs rhs ge gt 98.12/24.87 Wk / 4A 2A 4A 3A \ Wk / 4A 2A 4A 3A \ True False 98.12/24.87 | 7A 5A 7A 6A | | 7A 5A 7A 6A | 98.12/24.87 | 6A 4A 6A 5A | | 6A 4A 6A 5A | 98.12/24.87 \ - - - 0A / \ - - - 0A / 98.12/24.87 [1] ->= [3] 98.12/24.89 lhs rhs ge gt 98.12/24.89 Wk / 2A - 1A 1A \ Wk / 2A - 1A 1A \ True False 98.12/24.89 | 5A 2A 4A 4A | | 5A 1A 3A 4A | 98.12/24.89 | 3A 1A 3A 0A | | - 1A 3A - | 98.12/24.89 \ - - - 0A / \ - - - 0A / 98.12/24.89 [2, 2] ->= [1, 4] 98.12/24.89 lhs rhs ge gt 98.12/24.89 Wk / 2A 0A 2A 2A \ Wk / - - - 2A \ True False 98.12/24.89 | 5A 3A 5A 5A | | - - - 5A | 98.12/24.89 | 4A 2A 4A 3A | | - - - 3A | 98.12/24.89 \ - - - 0A / \ - - - 0A / 98.12/24.89 [2, 2, 2] ->= [3, 1] 98.12/24.89 lhs rhs ge gt 98.12/24.89 Wk / 4A 2A 4A 3A \ Wk / 4A 2A 4A 3A \ True False 98.12/24.89 | 7A 5A 7A 6A | | 7A 4A 6A 6A | 98.12/24.89 | 6A 4A 6A 5A | | 6A 4A 6A 5A | 98.12/24.89 \ - - - 0A / \ - - - 0A / 98.12/24.89 [4] ->= [5, 3] 98.12/24.91 lhs rhs ge gt 98.12/24.91 Wk / - - - 0A \ Wk / - - - 0A \ True False 98.12/24.92 | - - - - | | - - - - | 98.12/24.93 | - - - 0A | | - - - - | 98.12/24.93 \ - - - 0A / \ - - - 0A / 98.12/24.93 [3] ->= [2, 5, 0] 98.12/24.93 lhs rhs ge gt 98.12/24.93 Wk / 2A - 1A 1A \ Wk / - - - 1A \ True False 98.12/24.93 | 5A 1A 3A 4A | | - - - 4A | 98.12/24.93 | - 1A 3A - | | - - - - | 98.12/24.93 \ - - - 0A / \ - - - 0A / 98.12/24.93 [3, 3] ->= [0, 1] 98.12/24.93 lhs rhs ge gt 98.12/24.93 Wk / 4A 2A 4A 3A \ Wk / 4A 2A 4A 1A \ True False 98.12/24.93 | 7A 4A 6A 6A | | 7A 4A 6A 6A | 98.12/24.93 | 6A 4A 6A 5A | | 6A 4A 6A 5A | 98.12/24.93 \ - - - 0A / \ - - - 0A / 98.12/24.93 property Termination 98.12/24.93 has value True 98.12/24.94 for SRS ( [6, 0] |-> [7, 2], [7, 1] |-> [8, 2, 2], [8, 2] |-> [10], [10] |-> [9], [6, 0] |-> [8], [8, 2, 2] |-> [9, 1], [9, 3] |-> [6, 1], [9, 3] |-> [7], [7, 1] |-> [8, 2], [8, 2, 2] |-> [7], [7, 1] |-> [8], [7] |-> [9], [0, 0] ->= [1, 2], [1, 1] ->= [2, 2, 2], [1] ->= [3], [2, 2] ->= [1, 4], [2, 2, 2] ->= [3, 1], [4] ->= [5, 3], [3] ->= [2, 5, 0], [3, 3] ->= [0, 1]) 98.12/24.94 reason 98.12/24.94 EDG has 1 SCCs 98.12/24.94 property Termination 98.12/24.95 has value True 98.43/24.98 for SRS ( [6, 0] |-> [7, 2], [7] |-> [9], [9, 3] |-> [7], [7, 1] |-> [8], [8, 2, 2] |-> [7], [7, 1] |-> [8, 2], [8, 2, 2] |-> [9, 1], [9, 3] |-> [6, 1], [6, 0] |-> [8], [8, 2] |-> [10], [10] |-> [9], [7, 1] |-> [8, 2, 2], [0, 0] ->= [1, 2], [1, 1] ->= [2, 2, 2], [1] ->= [3], [2, 2] ->= [1, 4], [2, 2, 2] ->= [3, 1], [4] ->= [5, 3], [3] ->= [2, 5, 0], [3, 3] ->= [0, 1]) 98.43/24.98 reason 98.43/24.98 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 98.43/24.99 interpretation 98.62/25.01 0 Wk / 0 0 0 0 \ 98.62/25.01 | 0 1 3 3 | 98.62/25.01 | 2 0 0 0 | 98.62/25.01 \ 0 0 0 1 / 98.62/25.01 1 Wk / 0 0 0 0 \ 98.62/25.01 | 3 1 3 3 | 98.62/25.01 | 0 0 0 0 | 98.62/25.01 \ 0 0 0 1 / 98.62/25.01 2 Wk / 0 0 0 0 \ 98.62/25.01 | 0 1 3 2 | 98.62/25.01 | 1 0 0 0 | 98.62/25.01 \ 0 0 0 1 / 98.62/25.01 3 Wk / 0 0 0 0 \ 98.62/25.01 | 3 1 3 3 | 98.62/25.01 | 0 0 0 0 | 98.62/25.01 \ 0 0 0 1 / 98.62/25.01 4 Wk / 0 0 0 0 \ 98.62/25.01 | 0 0 0 1 | 98.62/25.01 | 0 0 0 0 | 98.62/25.01 \ 0 0 0 1 / 98.62/25.01 5 Wk / 0 0 0 0 \ 98.62/25.01 | 0 0 0 0 | 98.62/25.01 | 0 0 0 0 | 98.62/25.01 \ 0 0 0 1 / 98.62/25.01 6 Wk / 1 1 0 3 \ 98.62/25.01 | 0 0 0 4 | 98.62/25.01 | 0 0 0 4 | 98.62/25.01 \ 0 0 0 1 / 98.62/25.01 7 Wk / 0 1 0 3 \ 98.62/25.01 | 0 0 0 4 | 98.62/25.01 | 0 0 0 4 | 98.62/25.01 \ 0 0 0 1 / 98.62/25.01 8 Wk / 0 1 2 2 \ 98.62/25.01 | 0 0 0 4 | 98.62/25.01 | 0 0 0 4 | 98.62/25.01 \ 0 0 0 1 / 98.62/25.02 9 Wk / 0 1 0 3 \ 98.62/25.02 | 0 0 0 4 | 98.62/25.02 | 0 0 0 4 | 98.62/25.02 \ 0 0 0 1 / 98.62/25.03 10 Wk / 0 1 0 3 \ 98.62/25.03 | 0 0 0 4 | 98.62/25.03 | 0 0 0 4 | 98.62/25.03 \ 0 0 0 1 / 98.62/25.03 [6, 0] |-> [7, 2] 98.78/25.06 lhs rhs ge gt 98.78/25.06 Wk / 0 1 3 6 \ Wk / 0 1 3 5 \ True True 98.78/25.06 | 0 0 0 4 | | 0 0 0 4 | 98.78/25.06 | 0 0 0 4 | | 0 0 0 4 | 98.78/25.06 \ 0 0 0 1 / \ 0 0 0 1 / 98.78/25.06 [7] |-> [9] 98.78/25.06 lhs rhs ge gt 98.78/25.06 Wk / 0 1 0 3 \ Wk / 0 1 0 3 \ True False 98.78/25.07 | 0 0 0 4 | | 0 0 0 4 | 98.78/25.07 | 0 0 0 4 | | 0 0 0 4 | 98.78/25.07 \ 0 0 0 1 / \ 0 0 0 1 / 98.78/25.07 [9, 3] |-> [7] 98.78/25.10 lhs rhs ge gt 98.78/25.10 Wk / 3 1 3 6 \ Wk / 0 1 0 3 \ True True 98.78/25.10 | 0 0 0 4 | | 0 0 0 4 | 98.78/25.10 | 0 0 0 4 | | 0 0 0 4 | 98.78/25.10 \ 0 0 0 1 / \ 0 0 0 1 / 98.78/25.11 [7, 1] |-> [8] 98.78/25.11 lhs rhs ge gt 98.78/25.11 Wk / 3 1 3 6 \ Wk / 0 1 2 2 \ True True 98.78/25.11 | 0 0 0 4 | | 0 0 0 4 | 98.78/25.11 | 0 0 0 4 | | 0 0 0 4 | 98.78/25.11 \ 0 0 0 1 / \ 0 0 0 1 / 98.78/25.11 [8, 2, 2] |-> [7] 98.78/25.12 lhs rhs ge gt 98.78/25.12 Wk / 3 1 3 6 \ Wk / 0 1 0 3 \ True True 98.78/25.12 | 0 0 0 4 | | 0 0 0 4 | 98.78/25.12 | 0 0 0 4 | | 0 0 0 4 | 98.78/25.12 \ 0 0 0 1 / \ 0 0 0 1 / 98.78/25.12 [7, 1] |-> [8, 2] 98.78/25.13 lhs rhs ge gt 98.78/25.13 Wk / 3 1 3 6 \ Wk / 2 1 3 4 \ True True 98.78/25.13 | 0 0 0 4 | | 0 0 0 4 | 98.78/25.13 | 0 0 0 4 | | 0 0 0 4 | 98.78/25.13 \ 0 0 0 1 / \ 0 0 0 1 / 98.78/25.13 [8, 2, 2] |-> [9, 1] 99.12/25.18 lhs rhs ge gt 99.12/25.18 Wk / 3 1 3 6 \ Wk / 3 1 3 6 \ True False 99.12/25.18 | 0 0 0 4 | | 0 0 0 4 | 99.12/25.18 | 0 0 0 4 | | 0 0 0 4 | 99.12/25.18 \ 0 0 0 1 / \ 0 0 0 1 / 99.12/25.18 [9, 3] |-> [6, 1] 99.28/25.21 lhs rhs ge gt 99.28/25.21 Wk / 3 1 3 6 \ Wk / 3 1 3 6 \ True False 99.28/25.21 | 0 0 0 4 | | 0 0 0 4 | 99.28/25.21 | 0 0 0 4 | | 0 0 0 4 | 99.28/25.21 \ 0 0 0 1 / \ 0 0 0 1 / 99.28/25.22 [6, 0] |-> [8] 99.28/25.24 lhs rhs ge gt 99.28/25.24 Wk / 0 1 3 6 \ Wk / 0 1 2 2 \ True True 99.28/25.24 | 0 0 0 4 | | 0 0 0 4 | 99.28/25.24 | 0 0 0 4 | | 0 0 0 4 | 99.28/25.24 \ 0 0 0 1 / \ 0 0 0 1 / 99.28/25.24 [8, 2] |-> [10] 99.49/25.24 lhs rhs ge gt 99.49/25.24 Wk / 2 1 3 4 \ Wk / 0 1 0 3 \ True True 99.49/25.24 | 0 0 0 4 | | 0 0 0 4 | 99.49/25.24 | 0 0 0 4 | | 0 0 0 4 | 99.49/25.24 \ 0 0 0 1 / \ 0 0 0 1 / 99.49/25.24 [10] |-> [9] 99.51/25.25 lhs rhs ge gt 99.51/25.25 Wk / 0 1 0 3 \ Wk / 0 1 0 3 \ True False 99.51/25.25 | 0 0 0 4 | | 0 0 0 4 | 99.51/25.25 | 0 0 0 4 | | 0 0 0 4 | 99.51/25.25 \ 0 0 0 1 / \ 0 0 0 1 / 99.51/25.25 [7, 1] |-> [8, 2, 2] 99.51/25.25 lhs rhs ge gt 99.51/25.25 Wk / 3 1 3 6 \ Wk / 3 1 3 6 \ True False 99.51/25.25 | 0 0 0 4 | | 0 0 0 4 | 99.51/25.25 | 0 0 0 4 | | 0 0 0 4 | 99.51/25.25 \ 0 0 0 1 / \ 0 0 0 1 / 99.51/25.25 [0, 0] ->= [1, 2] 99.51/25.26 lhs rhs ge gt 99.51/25.26 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 99.51/25.26 | 6 1 3 6 | | 3 1 3 5 | 99.51/25.26 | 0 0 0 0 | | 0 0 0 0 | 99.51/25.26 \ 0 0 0 1 / \ 0 0 0 1 / 99.51/25.26 [1, 1] ->= [2, 2, 2] 99.51/25.27 lhs rhs ge gt 99.51/25.27 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 99.51/25.27 | 3 1 3 6 | | 3 1 3 6 | 99.51/25.27 | 0 0 0 0 | | 0 0 0 0 | 99.51/25.27 \ 0 0 0 1 / \ 0 0 0 1 / 99.51/25.27 [1] ->= [3] 99.51/25.27 lhs rhs ge gt 99.51/25.28 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 99.51/25.28 | 3 1 3 3 | | 3 1 3 3 | 99.51/25.28 | 0 0 0 0 | | 0 0 0 0 | 99.51/25.28 \ 0 0 0 1 / \ 0 0 0 1 / 99.51/25.28 [2, 2] ->= [1, 4] 99.51/25.28 lhs rhs ge gt 99.51/25.28 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 99.51/25.28 | 3 1 3 4 | | 0 0 0 4 | 99.51/25.28 | 0 0 0 0 | | 0 0 0 0 | 99.51/25.28 \ 0 0 0 1 / \ 0 0 0 1 / 99.51/25.28 [2, 2, 2] ->= [3, 1] 99.51/25.29 lhs rhs ge gt 99.51/25.29 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 99.51/25.29 | 3 1 3 6 | | 3 1 3 6 | 99.51/25.29 | 0 0 0 0 | | 0 0 0 0 | 99.51/25.29 \ 0 0 0 1 / \ 0 0 0 1 / 99.51/25.29 [4] ->= [5, 3] 99.51/25.29 lhs rhs ge gt 99.51/25.29 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 99.51/25.29 | 0 0 0 1 | | 0 0 0 0 | 99.51/25.29 | 0 0 0 0 | | 0 0 0 0 | 99.51/25.29 \ 0 0 0 1 / \ 0 0 0 1 / 99.51/25.29 [3] ->= [2, 5, 0] 99.51/25.30 lhs rhs ge gt 99.51/25.30 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 99.51/25.30 | 3 1 3 3 | | 0 0 0 2 | 99.51/25.30 | 0 0 0 0 | | 0 0 0 0 | 99.51/25.30 \ 0 0 0 1 / \ 0 0 0 1 / 99.51/25.30 [3, 3] ->= [0, 1] 99.51/25.30 lhs rhs ge gt 99.51/25.30 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 99.51/25.30 | 3 1 3 6 | | 3 1 3 6 | 99.51/25.30 | 0 0 0 0 | | 0 0 0 0 | 99.75/25.31 \ 0 0 0 1 / \ 0 0 0 1 / 99.75/25.31 property Termination 99.75/25.31 has value True 99.75/25.31 for SRS ( [7] |-> [9], [8, 2, 2] |-> [9, 1], [9, 3] |-> [6, 1], [10] |-> [9], [7, 1] |-> [8, 2, 2], [0, 0] ->= [1, 2], [1, 1] ->= [2, 2, 2], [1] ->= [3], [2, 2] ->= [1, 4], [2, 2, 2] ->= [3, 1], [4] ->= [5, 3], [3] ->= [2, 5, 0], [3, 3] ->= [0, 1]) 99.75/25.31 reason 99.75/25.31 weights 99.75/25.31 Map [(7, 6/1), (8, 2/1), (9, 1/1), (10, 3/1)] 99.75/25.31 99.75/25.31 property Termination 99.75/25.31 has value True 99.75/25.31 for SRS ( [0, 0] ->= [1, 2], [1, 1] ->= [2, 2, 2], [1] ->= [3], [2, 2] ->= [1, 4], [2, 2, 2] ->= [3, 1], [4] ->= [5, 3], [3] ->= [2, 5, 0], [3, 3] ->= [0, 1]) 99.75/25.31 reason 99.75/25.31 EDG has 0 SCCs 99.75/25.31 99.75/25.31 ************************************************** 99.75/25.31 summary 99.75/25.31 ************************************************** 99.75/25.32 SRS with 8 rules on 6 letters Remap { tracing = False} 99.75/25.32 SRS with 8 rules on 6 letters DP transform 99.75/25.32 SRS with 23 rules on 11 letters Remap { tracing = False} 99.75/25.32 SRS with 23 rules on 11 letters EDG 99.75/25.32 SRS with 22 rules on 11 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 99.75/25.32 SRS with 21 rules on 11 letters EDG 99.75/25.32 SRS with 21 rules on 11 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 99.75/25.32 SRS with 20 rules on 11 letters EDG 99.75/25.33 SRS with 20 rules on 11 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 99.75/25.33 SRS with 13 rules on 11 letters weights 99.75/25.33 SRS with 8 rules on 6 letters EDG 99.75/25.33 99.75/25.33 ************************************************** 99.75/25.33 (8, 6)\Deepee(23, 11)\EDG(22, 11)\Matrix{\Arctic}{2}(21, 11)\Matrix{\Arctic}{4}(20, 11)\Matrix{\Natural}{4}(13, 11)\Weight(8, 6)\EDG[] 99.75/25.33 ************************************************** 102.31/25.96 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]} 102.31/25.96 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 102.31/26.00 EOF