592.98/149.67 YES 592.98/149.68 property Termination 592.98/149.68 has value True 592.98/149.71 for SRS ( [log, s] -> [s, log, half, s], [half, 0] -> [0, s, s, half], [half, s, 0] -> [0], [half, s, s] -> [s, half, p, s, s], [half, half, s, s, s, s] -> [s, s, half, half], [p, s, s, s] -> [s, p, s, s], [s, s, p, s] -> [s, s], [0] -> []) 592.98/149.71 reason 592.98/149.71 remap for 8 rules 592.98/149.71 property Termination 592.98/149.71 has value True 593.35/149.76 for SRS ( [0, 1] -> [1, 0, 2, 1], [2, 3] -> [3, 1, 1, 2], [2, 1, 3] -> [3], [2, 1, 1] -> [1, 2, 4, 1, 1], [2, 2, 1, 1, 1, 1] -> [1, 1, 2, 2], [4, 1, 1, 1] -> [1, 4, 1, 1], [1, 1, 4, 1] -> [1, 1], [3] -> []) 593.35/149.76 reason 593.35/149.76 weights 593.35/149.76 Map [(3, 1/1)] 593.35/149.76 593.35/149.76 property Termination 593.35/149.76 has value True 593.35/149.78 for SRS ( [0, 1] -> [1, 0, 2, 1], [2, 3] -> [3, 1, 1, 2], [2, 1, 3] -> [3], [2, 1, 1] -> [1, 2, 4, 1, 1], [2, 2, 1, 1, 1, 1] -> [1, 1, 2, 2], [4, 1, 1, 1] -> [1, 4, 1, 1], [1, 1, 4, 1] -> [1, 1]) 593.35/149.78 reason 593.35/149.78 reverse each lhs and rhs 593.35/149.79 property Termination 593.35/149.79 has value True 593.35/149.79 for SRS ( [1, 0] -> [1, 2, 0, 1], [3, 2] -> [2, 1, 1, 3], [3, 1, 2] -> [3], [1, 1, 2] -> [1, 1, 4, 2, 1], [1, 1, 1, 1, 2, 2] -> [2, 2, 1, 1], [1, 1, 1, 4] -> [1, 1, 4, 1], [1, 4, 1, 1] -> [1, 1]) 593.35/149.79 reason 593.35/149.79 DP transform 593.35/149.79 property Termination 593.35/149.79 has value True 593.35/149.79 for SRS ( [1, 0] ->= [1, 2, 0, 1], [3, 2] ->= [2, 1, 1, 3], [3, 1, 2] ->= [3], [1, 1, 2] ->= [1, 1, 4, 2, 1], [1, 1, 1, 1, 2, 2] ->= [2, 2, 1, 1], [1, 1, 1, 4] ->= [1, 1, 4, 1], [1, 4, 1, 1] ->= [1, 1], [1#, 0] |-> [1#, 2, 0, 1], [1#, 0] |-> [1#], [3#, 2] |-> [1#, 1, 3], [3#, 2] |-> [1#, 3], [3#, 2] |-> [3#], [3#, 1, 2] |-> [3#], [1#, 1, 2] |-> [1#, 1, 4, 2, 1], [1#, 1, 2] |-> [1#, 4, 2, 1], [1#, 1, 2] |-> [1#], [1#, 1, 1, 1, 2, 2] |-> [1#, 1], [1#, 1, 1, 1, 2, 2] |-> [1#], [1#, 1, 1, 4] |-> [1#, 1, 4, 1], [1#, 1, 1, 4] |-> [1#, 4, 1], [1#, 1, 1, 4] |-> [1#]) 593.57/149.80 reason 593.57/149.80 remap for 21 rules 593.57/149.80 property Termination 593.57/149.80 has value True 594.22/149.99 for SRS ( [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0], [5, 1] |-> [5, 2, 1, 0], [5, 1] |-> [5], [6, 2] |-> [5, 0, 3], [6, 2] |-> [5, 3], [6, 2] |-> [6], [6, 0, 2] |-> [6], [5, 0, 2] |-> [5, 0, 4, 2, 0], [5, 0, 2] |-> [5, 4, 2, 0], [5, 0, 2] |-> [5], [5, 0, 0, 0, 2, 2] |-> [5, 0], [5, 0, 0, 0, 2, 2] |-> [5], [5, 0, 0, 4] |-> [5, 0, 4, 0], [5, 0, 0, 4] |-> [5, 4, 0], [5, 0, 0, 4] |-> [5]) 594.22/149.99 reason 594.22/149.99 weights 594.37/150.00 Map [(1, 1/1), (6, 2/1)] 594.37/150.00 594.37/150.00 property Termination 594.37/150.00 has value True 594.51/150.07 for SRS ( [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0], [5, 1] |-> [5, 2, 1, 0], [6, 2] |-> [6], [6, 0, 2] |-> [6], [5, 0, 2] |-> [5, 0, 4, 2, 0], [5, 0, 2] |-> [5, 4, 2, 0], [5, 0, 2] |-> [5], [5, 0, 0, 0, 2, 2] |-> [5, 0], [5, 0, 0, 0, 2, 2] |-> [5], [5, 0, 0, 4] |-> [5, 0, 4, 0], [5, 0, 0, 4] |-> [5, 4, 0], [5, 0, 0, 4] |-> [5]) 594.51/150.07 reason 594.51/150.07 EDG has 2 SCCs 594.51/150.07 property Termination 594.51/150.07 has value True 594.51/150.10 for SRS ( [6, 2] |-> [6], [6, 0, 2] |-> [6], [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0]) 594.51/150.10 reason 594.51/150.11 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 594.51/150.11 interpretation 594.51/150.12 0 / 0A 0A \ 594.51/150.12 \ -2A -2A / 594.51/150.12 1 / 16A 18A \ 594.51/150.12 \ 14A 16A / 594.51/150.12 2 / 0A 2A \ 594.51/150.12 \ 0A 0A / 594.51/150.12 3 / 26A 28A \ 594.51/150.12 \ 26A 28A / 594.51/150.12 4 / 0A 0A \ 594.51/150.12 \ -2A -2A / 594.51/150.12 6 / 5A 6A \ 594.51/150.12 \ 5A 6A / 594.51/150.12 [6, 2] |-> [6] 594.51/150.13 lhs rhs ge gt 594.51/150.13 / 6A 7A \ / 5A 6A \ True True 594.51/150.13 \ 6A 7A / \ 5A 6A / 594.51/150.13 [6, 0, 2] |-> [6] 594.51/150.13 lhs rhs ge gt 594.51/150.13 / 5A 7A \ / 5A 6A \ True False 594.51/150.13 \ 5A 7A / \ 5A 6A / 594.51/150.13 [0, 1] ->= [0, 2, 1, 0] 594.51/150.13 lhs rhs ge gt 594.51/150.13 / 16A 18A \ / 16A 16A \ True False 594.51/150.13 \ 14A 16A / \ 14A 14A / 594.93/150.15 [3, 2] ->= [2, 0, 0, 3] 594.93/150.15 lhs rhs ge gt 594.93/150.15 / 28A 28A \ / 26A 28A \ True False 594.93/150.15 \ 28A 28A / \ 26A 28A / 594.93/150.17 [3, 0, 2] ->= [3] 594.93/150.17 lhs rhs ge gt 594.93/150.17 / 26A 28A \ / 26A 28A \ True False 594.93/150.17 \ 26A 28A / \ 26A 28A / 594.93/150.17 [0, 0, 2] ->= [0, 0, 4, 2, 0] 594.93/150.17 lhs rhs ge gt 594.93/150.17 / 0A 2A \ / 0A 0A \ True False 594.93/150.17 \ -2A 0A / \ -2A -2A / 594.93/150.18 [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0] 594.93/150.18 lhs rhs ge gt 594.93/150.18 / 2A 2A \ / 2A 2A \ True False 594.93/150.18 \ 0A 0A / \ 0A 0A / 594.93/150.18 [0, 0, 0, 4] ->= [0, 0, 4, 0] 594.93/150.18 lhs rhs ge gt 594.93/150.18 / 0A 0A \ / 0A 0A \ True False 594.93/150.18 \ -2A -2A / \ -2A -2A / 594.93/150.18 [0, 4, 0, 0] ->= [0, 0] 594.93/150.18 lhs rhs ge gt 594.93/150.18 / 0A 0A \ / 0A 0A \ True False 594.93/150.18 \ -2A -2A / \ -2A -2A / 594.93/150.18 property Termination 594.93/150.18 has value True 594.93/150.18 for SRS ( [6, 0, 2] |-> [6], [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0]) 594.93/150.18 reason 594.93/150.18 EDG has 1 SCCs 594.93/150.18 property Termination 594.93/150.18 has value True 594.93/150.18 for SRS ( [6, 0, 2] |-> [6], [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0]) 594.93/150.18 reason 594.93/150.18 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 594.93/150.18 interpretation 594.93/150.18 0 / 0A 0A 0A 5A 5A \ 594.93/150.18 | -5A -5A 0A 0A 0A | 594.93/150.18 | -5A -5A -5A 0A 0A | 594.93/150.18 | -5A -5A -5A 0A 0A | 594.93/150.18 \ -5A -5A -5A 0A 0A / 594.93/150.18 1 / 25A 25A 30A 30A 30A \ 594.93/150.18 | 25A 25A 30A 30A 30A | 594.93/150.18 | 25A 25A 25A 30A 30A | 594.93/150.18 | 25A 25A 25A 30A 30A | 594.93/150.18 \ 25A 25A 25A 25A 25A / 594.93/150.18 2 / 0A 5A 5A 5A 5A \ 594.93/150.18 | 0A 0A 0A 5A 5A | 594.93/150.18 | 0A 0A 0A 0A 0A | 594.93/150.18 | -5A 0A 0A 0A 0A | 594.93/150.18 \ -5A 0A 0A 0A 0A / 594.93/150.18 3 / 10A 15A 15A 15A 15A \ 594.93/150.19 | 10A 15A 15A 15A 15A | 594.93/150.19 | 10A 15A 15A 15A 15A | 594.93/150.19 | 10A 10A 10A 10A 15A | 594.93/150.19 \ 10A 10A 10A 10A 15A / 594.93/150.19 4 / 0A 0A 0A 5A 5A \ 594.93/150.19 | 0A 0A 0A 5A 5A | 594.93/150.19 | -5A 0A 0A 0A 0A | 594.93/150.19 | -5A -5A -5A 0A 0A | 594.93/150.19 \ -5A -5A -5A 0A 0A / 594.93/150.19 6 / 1A 2A 2A 5A 5A \ 594.93/150.19 | 1A 2A 2A 5A 5A | 594.93/150.19 | 1A 2A 2A 5A 5A | 594.93/150.19 | 1A 2A 2A 5A 5A | 594.93/150.19 \ 1A 2A 2A 5A 5A / 594.93/150.19 [6, 0, 2] |-> [6] 594.93/150.19 lhs rhs ge gt 594.93/150.19 / 2A 6A 6A 6A 6A \ / 1A 2A 2A 5A 5A \ True True 594.93/150.19 | 2A 6A 6A 6A 6A | | 1A 2A 2A 5A 5A | 594.93/150.19 | 2A 6A 6A 6A 6A | | 1A 2A 2A 5A 5A | 594.93/150.19 | 2A 6A 6A 6A 6A | | 1A 2A 2A 5A 5A | 594.93/150.19 \ 2A 6A 6A 6A 6A / \ 1A 2A 2A 5A 5A / 594.93/150.19 [0, 1] ->= [0, 2, 1, 0] 594.93/150.19 lhs rhs ge gt 594.93/150.19 / 30A 30A 30A 35A 35A \ / 30A 30A 30A 35A 35A \ True False 594.93/150.19 | 25A 25A 25A 30A 30A | | 25A 25A 25A 30A 30A | 594.93/150.19 | 25A 25A 25A 30A 30A | | 25A 25A 25A 30A 30A | 594.93/150.19 | 25A 25A 25A 30A 30A | | 25A 25A 25A 30A 30A | 594.93/150.19 \ 25A 25A 25A 30A 30A / \ 25A 25A 25A 30A 30A / 594.93/150.19 [3, 2] ->= [2, 0, 0, 3] 594.93/150.19 lhs rhs ge gt 594.93/150.19 / 15A 15A 15A 20A 20A \ / 15A 15A 15A 15A 20A \ True False 594.93/150.19 | 15A 15A 15A 20A 20A | | 15A 15A 15A 15A 20A | 594.93/150.19 | 15A 15A 15A 20A 20A | | 15A 15A 15A 15A 20A | 594.93/150.19 | 10A 15A 15A 15A 15A | | 10A 10A 10A 10A 15A | 594.93/150.19 \ 10A 15A 15A 15A 15A / \ 10A 10A 10A 10A 15A / 594.93/150.19 [3, 0, 2] ->= [3] 594.93/150.19 lhs rhs ge gt 594.93/150.19 / 15A 15A 15A 15A 15A \ / 10A 15A 15A 15A 15A \ True False 594.93/150.19 | 15A 15A 15A 15A 15A | | 10A 15A 15A 15A 15A | 594.93/150.19 | 15A 15A 15A 15A 15A | | 10A 15A 15A 15A 15A | 594.93/150.19 | 10A 15A 15A 15A 15A | | 10A 10A 10A 10A 15A | 594.93/150.19 \ 10A 15A 15A 15A 15A / \ 10A 10A 10A 10A 15A / 594.93/150.20 [0, 0, 2] ->= [0, 0, 4, 2, 0] 594.93/150.20 lhs rhs ge gt 594.93/150.21 / 0A 5A 5A 5A 5A \ / 0A 0A 5A 5A 5A \ True False 594.93/150.21 | -5A 0A 0A 0A 0A | | -5A -5A 0A 0A 0A | 595.18/150.21 | -5A 0A 0A 0A 0A | | -5A -5A 0A 0A 0A | 595.18/150.21 | -5A 0A 0A 0A 0A | | -5A -5A 0A 0A 0A | 595.18/150.21 \ -5A 0A 0A 0A 0A / \ -5A -5A 0A 0A 0A / 595.18/150.21 [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0] 595.18/150.21 lhs rhs ge gt 595.18/150.21 / 5A 5A 5A 10A 10A \ / 5A 5A 5A 10A 10A \ True False 595.18/150.21 | 0A 0A 0A 5A 5A | | 0A 0A 0A 5A 5A | 595.18/150.21 | 0A 0A 0A 5A 5A | | 0A 0A 0A 5A 5A | 595.18/150.21 | 0A 0A 0A 5A 5A | | 0A 0A 0A 5A 5A | 595.18/150.21 \ 0A 0A 0A 5A 5A / \ 0A 0A 0A 5A 5A / 595.18/150.21 [0, 0, 0, 4] ->= [0, 0, 4, 0] 595.18/150.21 lhs rhs ge gt 595.18/150.21 / 0A 0A 0A 5A 5A \ / 0A 0A 0A 5A 5A \ True False 595.18/150.21 | -5A -5A -5A 0A 0A | | -5A -5A -5A 0A 0A | 595.18/150.21 | -5A -5A -5A 0A 0A | | -5A -5A -5A 0A 0A | 595.18/150.21 | -5A -5A -5A 0A 0A | | -5A -5A -5A 0A 0A | 595.18/150.21 \ -5A -5A -5A 0A 0A / \ -5A -5A -5A 0A 0A / 595.18/150.21 [0, 4, 0, 0] ->= [0, 0] 595.18/150.21 lhs rhs ge gt 595.18/150.21 / 0A 0A 0A 5A 5A \ / 0A 0A 0A 5A 5A \ True False 595.18/150.21 | -5A -5A -5A 0A 0A | | -5A -5A -5A 0A 0A | 595.18/150.21 | -5A -5A -5A 0A 0A | | -5A -5A -5A 0A 0A | 595.18/150.21 | -5A -5A -5A 0A 0A | | -5A -5A -5A 0A 0A | 595.18/150.21 \ -5A -5A -5A 0A 0A / \ -5A -5A -5A 0A 0A / 595.18/150.21 property Termination 595.18/150.21 has value True 595.18/150.24 for SRS ( [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0]) 595.18/150.24 reason 595.18/150.24 EDG has 0 SCCs 595.18/150.24 595.18/150.24 property Termination 595.18/150.24 has value True 595.45/150.29 for SRS ( [5, 0, 0, 4] |-> [5], [5, 0, 0, 4] |-> [5, 0, 4, 0], [5, 0, 0, 0, 2, 2] |-> [5], [5, 0, 0, 0, 2, 2] |-> [5, 0], [5, 0, 2] |-> [5], [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0]) 595.45/150.29 reason 595.45/150.30 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 595.45/150.30 interpretation 595.45/150.30 0 / 0A 0A \ 595.45/150.30 \ -2A -2A / 595.45/150.30 1 / 22A 22A \ 595.45/150.30 \ 20A 20A / 595.45/150.30 2 / 0A 2A \ 595.45/150.30 \ 0A 0A / 595.45/150.30 3 / 2A 2A \ 595.45/150.30 \ 2A 2A / 595.45/150.30 4 / 0A 0A \ 595.45/150.30 \ -2A -2A / 595.45/150.30 5 / 12A 12A \ 595.45/150.30 \ 12A 12A / 595.45/150.30 [5, 0, 0, 4] |-> [5] 595.45/150.30 lhs rhs ge gt 595.45/150.30 / 12A 12A \ / 12A 12A \ True False 595.45/150.30 \ 12A 12A / \ 12A 12A / 595.45/150.30 [5, 0, 0, 4] |-> [5, 0, 4, 0] 595.45/150.30 lhs rhs ge gt 595.45/150.30 / 12A 12A \ / 12A 12A \ True False 595.45/150.30 \ 12A 12A / \ 12A 12A / 595.45/150.30 [5, 0, 0, 0, 2, 2] |-> [5] 595.45/150.30 lhs rhs ge gt 595.45/150.30 / 14A 14A \ / 12A 12A \ True True 595.45/150.30 \ 14A 14A / \ 12A 12A / 595.45/150.30 [5, 0, 0, 0, 2, 2] |-> [5, 0] 595.45/150.30 lhs rhs ge gt 595.45/150.30 / 14A 14A \ / 12A 12A \ True True 595.45/150.30 \ 14A 14A / \ 12A 12A / 595.45/150.30 [5, 0, 2] |-> [5] 595.45/150.30 lhs rhs ge gt 595.45/150.30 / 12A 14A \ / 12A 12A \ True False 595.45/150.30 \ 12A 14A / \ 12A 12A / 595.45/150.30 [0, 1] ->= [0, 2, 1, 0] 595.45/150.30 lhs rhs ge gt 595.45/150.30 / 22A 22A \ / 22A 22A \ True False 595.45/150.30 \ 20A 20A / \ 20A 20A / 595.45/150.30 [3, 2] ->= [2, 0, 0, 3] 595.45/150.30 lhs rhs ge gt 595.45/150.30 / 2A 4A \ / 2A 2A \ True False 595.45/150.30 \ 2A 4A / \ 2A 2A / 595.45/150.30 [3, 0, 2] ->= [3] 595.45/150.30 lhs rhs ge gt 595.45/150.30 / 2A 4A \ / 2A 2A \ True False 595.45/150.30 \ 2A 4A / \ 2A 2A / 595.45/150.30 [0, 0, 2] ->= [0, 0, 4, 2, 0] 595.45/150.30 lhs rhs ge gt 595.45/150.30 / 0A 2A \ / 0A 0A \ True False 595.45/150.30 \ -2A 0A / \ -2A -2A / 595.45/150.30 [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0] 595.45/150.30 lhs rhs ge gt 595.45/150.30 / 2A 2A \ / 2A 2A \ True False 595.45/150.30 \ 0A 0A / \ 0A 0A / 595.45/150.30 [0, 0, 0, 4] ->= [0, 0, 4, 0] 595.45/150.30 lhs rhs ge gt 595.45/150.30 / 0A 0A \ / 0A 0A \ True False 595.45/150.30 \ -2A -2A / \ -2A -2A / 595.45/150.30 [0, 4, 0, 0] ->= [0, 0] 595.45/150.30 lhs rhs ge gt 595.45/150.30 / 0A 0A \ / 0A 0A \ True False 595.45/150.30 \ -2A -2A / \ -2A -2A / 595.45/150.30 property Termination 595.45/150.30 has value True 595.45/150.30 for SRS ( [5, 0, 0, 4] |-> [5], [5, 0, 0, 4] |-> [5, 0, 4, 0], [5, 0, 2] |-> [5], [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0]) 595.45/150.30 reason 595.45/150.30 EDG has 1 SCCs 595.45/150.30 property Termination 595.45/150.30 has value True 595.45/150.30 for SRS ( [5, 0, 0, 4] |-> [5], [5, 0, 2] |-> [5], [5, 0, 0, 4] |-> [5, 0, 4, 0], [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0]) 595.45/150.30 reason 595.45/150.30 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 595.45/150.32 interpretation 595.45/150.33 0 Wk / 0A - 3A - \ 595.45/150.33 | - - - - | 595.45/150.33 | - 0A 1A - | 595.45/150.33 \ - - - 0A / 595.45/150.34 1 Wk / - - - 0A \ 595.45/150.34 | - - - 0A | 595.45/150.34 | - - - 4A | 595.45/150.34 \ - - - 0A / 595.45/150.35 2 Wk / 1A - - 2A \ 595.45/150.35 | - 0A - - | 595.45/150.35 | - 1A 0A - | 595.45/150.35 \ - - - 0A / 595.79/150.36 3 Wk / 0A - - 0A \ 595.79/150.36 | - - - - | 595.79/150.36 | - - - - | 595.79/150.36 \ - - - 0A / 595.79/150.38 4 Wk / 0A - 0A 0A \ 595.79/150.38 | - 0A 0A - | 595.79/150.38 | - - - - | 595.79/150.38 \ - - - 0A / 595.90/150.40 5 Wk / 4A - 3A - \ 595.90/150.41 | 3A - - 4A | 595.90/150.41 | - - - - | 596.04/150.43 \ - - - 0A / 596.04/150.43 [5, 0, 0, 4] |-> [5] 597.29/150.78 lhs rhs ge gt 597.29/150.79 Wk / 4A 7A 7A 4A \ Wk / 4A - 3A - \ True False 597.29/150.79 | 3A 6A 6A 4A | | 3A - - 4A | 597.29/150.79 | - - - - | | - - - - | 597.29/150.79 \ - - - 0A / \ - - - 0A / 597.29/150.79 [5, 0, 2] |-> [5] 597.59/150.82 lhs rhs ge gt 597.59/150.82 Wk / 5A 8A 7A 6A \ Wk / 4A - 3A - \ True True 597.59/150.82 | 4A 7A 6A 5A | | 3A - - 4A | 597.59/150.82 | - - - - | | - - - - | 597.59/150.82 \ - - - 0A / \ - - - 0A / 597.59/150.82 [5, 0, 0, 4] |-> [5, 0, 4, 0] 597.59/150.87 lhs rhs ge gt 597.59/150.87 Wk / 4A 7A 7A 4A \ Wk / 4A 4A 7A 4A \ True False 597.59/150.87 | 3A 6A 6A 4A | | 3A 3A 6A 4A | 597.59/150.87 | - - - - | | - - - - | 597.59/150.87 \ - - - 0A / \ - - - 0A / 597.59/150.87 [0, 1] ->= [0, 2, 1, 0] 597.80/150.93 lhs rhs ge gt 597.80/150.94 Wk / - - - 7A \ Wk / - - - 7A \ True False 597.80/150.94 | - - - - | | - - - - | 597.80/150.94 | - - - 5A | | - - - 5A | 597.80/150.94 \ - - - 0A / \ - - - 0A / 597.80/150.94 [3, 2] ->= [2, 0, 0, 3] 598.21/150.98 lhs rhs ge gt 598.21/150.98 Wk / 1A - - 2A \ Wk / 1A - - 2A \ True False 598.21/150.98 | - - - - | | - - - - | 598.21/150.98 | - - - - | | - - - - | 598.21/150.98 \ - - - 0A / \ - - - 0A / 598.21/150.98 [3, 0, 2] ->= [3] 598.39/151.04 lhs rhs ge gt 598.39/151.04 Wk / 1A 4A 3A 2A \ Wk / 0A - - 0A \ True True 598.39/151.04 | - - - - | | - - - - | 598.39/151.04 | - - - - | | - - - - | 598.47/151.05 \ - - - 0A / \ - - - 0A / 598.47/151.05 [0, 0, 2] ->= [0, 0, 4, 2, 0] 598.47/151.08 lhs rhs ge gt 598.47/151.08 Wk / 1A 5A 4A 2A \ Wk / 1A 3A 4A 2A \ True False 598.47/151.08 | - - - - | | - - - - | 598.47/151.08 | - 3A 2A - | | - 1A 2A - | 598.47/151.08 \ - - - 0A / \ - - - 0A / 598.47/151.09 [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0] 598.47/151.09 lhs rhs ge gt 598.47/151.09 Wk / 2A 7A 6A 3A \ Wk / 2A 5A 6A 3A \ True False 598.47/151.09 | - - - - | | - - - - | 598.47/151.09 | - 5A 4A - | | - 1A 2A - | 598.47/151.09 \ - - - 0A / \ - - - 0A / 598.47/151.09 [0, 0, 0, 4] ->= [0, 0, 4, 0] 598.47/151.09 lhs rhs ge gt 598.47/151.09 Wk / 0A 4A 4A 0A \ Wk / 0A 3A 4A 0A \ True False 598.47/151.09 | - - - - | | - - - - | 598.47/151.09 | - 2A 2A - | | - 1A 2A - | 598.47/151.09 \ - - - 0A / \ - - - 0A / 598.47/151.09 [0, 4, 0, 0] ->= [0, 0] 598.79/151.14 lhs rhs ge gt 598.79/151.14 Wk / 0A 3A 4A 0A \ Wk / 0A 3A 4A - \ True False 598.79/151.14 | - - - - | | - - - - | 598.79/151.14 | - 1A 2A - | | - 1A 2A - | 598.79/151.14 \ - - - 0A / \ - - - 0A / 598.79/151.14 property Termination 598.79/151.14 has value True 598.79/151.14 for SRS ( [5, 0, 0, 4] |-> [5], [5, 0, 0, 4] |-> [5, 0, 4, 0], [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0]) 598.79/151.14 reason 598.79/151.14 EDG has 1 SCCs 598.79/151.14 property Termination 598.79/151.14 has value True 598.79/151.14 for SRS ( [5, 0, 0, 4] |-> [5], [5, 0, 0, 4] |-> [5, 0, 4, 0], [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0]) 598.79/151.14 reason 598.79/151.14 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 598.79/151.14 interpretation 598.79/151.14 0 Wk / 1A 0A 4A 2A \ 598.79/151.14 | - 0A 0A 1A | 598.79/151.14 | - 0A - 0A | 598.79/151.14 \ - - - 0A / 598.79/151.14 1 Wk / - - - 0A \ 598.79/151.14 | - - - 4A | 598.79/151.14 | - - 6A 0A | 598.79/151.15 \ - - - 0A / 598.79/151.16 2 Wk / - - - 3A \ 598.79/151.16 | - - - 0A | 598.79/151.16 | - - - - | 598.79/151.16 \ - - - 0A / 598.79/151.16 3 Wk / - - - 7A \ 598.79/151.16 | - - - 0A | 598.79/151.16 | - - - - | 598.79/151.16 \ - - - 0A / 598.79/151.18 4 Wk / 0A 2A 4A 0A \ 598.79/151.18 | - 0A - - | 598.79/151.18 | - 0A 0A 0A | 598.79/151.18 \ - - - 0A / 599.04/151.19 5 Wk / 0A 4A - 4A \ 599.04/151.19 | - - - - | 599.04/151.19 | - - - - | 599.04/151.19 \ - - - 0A / 599.04/151.19 [5, 0, 0, 4] |-> [5] 599.65/151.39 lhs rhs ge gt 599.65/151.39 Wk / 2A 5A 6A 5A \ Wk / 0A 4A - 4A \ True True 599.65/151.39 | - - - - | | - - - - | 599.65/151.39 | - - - - | | - - - - | 599.65/151.39 \ - - - 0A / \ - - - 0A / 599.65/151.39 [5, 0, 0, 4] |-> [5, 0, 4, 0] 599.65/151.42 lhs rhs ge gt 599.65/151.42 Wk / 2A 5A 6A 5A \ Wk / 2A 5A 5A 5A \ True False 599.65/151.42 | - - - - | | - - - - | 599.65/151.42 | - - - - | | - - - - | 599.65/151.42 \ - - - 0A / \ - - - 0A / 599.97/151.43 [0, 1] ->= [0, 2, 1, 0] 599.97/151.46 lhs rhs ge gt 599.97/151.46 Wk / - - 10A 4A \ Wk / - - - 4A \ True False 599.97/151.46 | - - 6A 4A | | - - - 1A | 599.97/151.46 | - - - 4A | | - - - 0A | 599.97/151.47 \ - - - 0A / \ - - - 0A / 599.97/151.47 [3, 2] ->= [2, 0, 0, 3] 600.18/151.48 lhs rhs ge gt 600.18/151.48 Wk / - - - 7A \ Wk / - - - 3A \ True False 600.18/151.48 | - - - 0A | | - - - 0A | 600.18/151.48 | - - - - | | - - - - | 600.18/151.48 \ - - - 0A / \ - - - 0A / 600.18/151.50 [3, 0, 2] ->= [3] 601.81/151.89 lhs rhs ge gt 601.99/151.98 Wk / - - - 7A \ Wk / - - - 7A \ True False 602.51/152.11 | - - - 0A | | - - - 0A | 603.19/152.26 | - - - - | | - - - - | 603.19/152.26 \ - - - 0A / \ - - - 0A / 603.74/152.44 [0, 0, 2] ->= [0, 0, 4, 2, 0] 603.74/152.44 lhs rhs ge gt 603.74/152.44 Wk / - - - 5A \ Wk / - - - 5A \ True False 603.74/152.44 | - - - 1A | | - - - 1A | 603.74/152.44 | - - - 1A | | - - - 1A | 603.74/152.44 \ - - - 0A / \ - - - 0A / 603.74/152.44 [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0] 603.74/152.44 lhs rhs ge gt 603.74/152.44 Wk / - - - 7A \ Wk / - - - 3A \ True True 603.74/152.44 | - - - 1A | | - - - 0A | 603.74/152.44 | - - - 1A | | - - - - | 603.74/152.44 \ - - - 0A / \ - - - 0A / 603.74/152.44 [0, 0, 0, 4] ->= [0, 0, 4, 0] 604.11/152.48 lhs rhs ge gt 604.11/152.48 Wk / 3A 6A 7A 6A \ Wk / 3A 6A 6A 6A \ True False 604.11/152.48 | - 0A 0A 1A | | - 0A 0A 1A | 604.11/152.48 | - 0A 0A 1A | | - 0A 0A 1A | 604.11/152.48 \ - - - 0A / \ - - - 0A / 604.11/152.48 [0, 4, 0, 0] ->= [0, 0] 604.11/152.48 lhs rhs ge gt 604.11/152.48 Wk / 3A 5A 6A 6A \ Wk / 2A 4A 5A 4A \ True False 604.11/152.48 | - 0A 0A 1A | | - 0A 0A 1A | 604.11/152.48 | - 0A 0A 1A | | - 0A 0A 1A | 604.11/152.48 \ - - - 0A / \ - - - 0A / 604.11/152.48 property Termination 604.11/152.48 has value True 604.11/152.48 for SRS ( [5, 0, 0, 4] |-> [5, 0, 4, 0], [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0]) 604.11/152.48 reason 604.11/152.48 EDG has 1 SCCs 604.11/152.48 property Termination 604.11/152.48 has value True 604.11/152.48 for SRS ( [5, 0, 0, 4] |-> [5, 0, 4, 0], [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0]) 604.11/152.48 reason 604.11/152.48 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 604.11/152.48 interpretation 604.34/152.57 0 Wk / 1A - 1A 2A \ 604.34/152.57 | 0A - 0A 0A | 604.34/152.57 | 1A 0A 1A - | 604.34/152.57 \ - - - 0A / 604.34/152.57 1 Wk / - - - 3A \ 604.34/152.57 | - - - 4A | 604.34/152.57 | - - - - | 604.34/152.57 \ - - - 0A / 604.34/152.57 2 Wk / - - - 3A \ 604.34/152.57 | - - - - | 604.34/152.57 | - - - - | 604.34/152.57 \ - - - 0A / 604.34/152.57 3 Wk / - - - 4A \ 604.34/152.57 | - - - 1A | 604.34/152.57 | - - - 5A | 604.34/152.57 \ - - - 0A / 604.34/152.57 4 Wk / - 0A - 0A \ 604.34/152.57 | 1A 2A 1A 4A | 604.34/152.57 | - - - - | 604.34/152.57 \ - - - 0A / 604.34/152.57 5 Wk / 1A 0A - 4A \ 604.34/152.57 | - - - - | 604.34/152.57 | - - - - | 604.34/152.57 \ - - - 0A / 604.34/152.57 [5, 0, 0, 4] |-> [5, 0, 4, 0] 604.34/152.60 lhs rhs ge gt 604.34/152.60 Wk / 3A 4A 3A 6A \ Wk / 2A - 2A 4A \ True True 604.34/152.60 | - - - - | | - - - - | 604.34/152.60 | - - - - | | - - - - | 604.34/152.60 \ - - - 0A / \ - - - 0A / 604.34/152.60 [0, 1] ->= [0, 2, 1, 0] 604.34/152.60 lhs rhs ge gt 604.34/152.60 Wk / - - - 4A \ Wk / - - - 4A \ True False 604.34/152.60 | - - - 3A | | - - - 3A | 604.34/152.60 | - - - 4A | | - - - 4A | 604.34/152.60 \ - - - 0A / \ - - - 0A / 604.34/152.60 [3, 2] ->= [2, 0, 0, 3] 604.34/152.60 lhs rhs ge gt 604.34/152.60 Wk / - - - 4A \ Wk / - - - 3A \ True True 604.34/152.60 | - - - 1A | | - - - - | 604.34/152.60 | - - - 5A | | - - - - | 604.34/152.60 \ - - - 0A / \ - - - 0A / 604.34/152.60 [3, 0, 2] ->= [3] 604.74/152.66 lhs rhs ge gt 604.74/152.66 Wk / - - - 4A \ Wk / - - - 4A \ True False 604.74/152.66 | - - - 1A | | - - - 1A | 604.74/152.66 | - - - 5A | | - - - 5A | 604.74/152.66 \ - - - 0A / \ - - - 0A / 604.74/152.66 [0, 0, 2] ->= [0, 0, 4, 2, 0] 604.74/152.66 lhs rhs ge gt 604.74/152.66 Wk / - - - 5A \ Wk / - - - 5A \ True False 604.74/152.66 | - - - 4A | | - - - 4A | 604.74/152.66 | - - - 5A | | - - - 5A | 604.74/152.66 \ - - - 0A / \ - - - 0A / 604.74/152.66 [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0] 604.74/152.66 lhs rhs ge gt 604.74/152.66 Wk / - - - 7A \ Wk / - - - 3A \ True True 604.74/152.66 | - - - 6A | | - - - - | 604.74/152.66 | - - - 7A | | - - - - | 604.74/152.66 \ - - - 0A / \ - - - 0A / 604.74/152.66 [0, 0, 0, 4] ->= [0, 0, 4, 0] 604.74/152.69 lhs rhs ge gt 604.74/152.69 Wk / 3A 4A 3A 6A \ Wk / 3A 2A 3A 5A \ True False 604.74/152.69 | 2A 3A 2A 5A | | 2A 1A 2A 4A | 604.74/152.69 | 3A 4A 3A 6A | | 3A 2A 3A 5A | 604.74/152.69 \ - - - 0A / \ - - - 0A / 604.74/152.69 [0, 4, 0, 0] ->= [0, 0] 604.74/152.69 lhs rhs ge gt 604.74/152.69 Wk / 2A 1A 2A 3A \ Wk / 2A 1A 2A 3A \ True False 604.74/152.69 | 1A 0A 1A 2A | | 1A 0A 1A 2A | 604.74/152.69 | 3A 2A 3A 4A | | 2A 1A 2A 3A | 604.74/152.69 \ - - - 0A / \ - - - 0A / 604.74/152.69 property Termination 604.74/152.69 has value True 604.74/152.69 for SRS ( [0, 1] ->= [0, 2, 1, 0], [3, 2] ->= [2, 0, 0, 3], [3, 0, 2] ->= [3], [0, 0, 2] ->= [0, 0, 4, 2, 0], [0, 0, 0, 0, 2, 2] ->= [2, 2, 0, 0], [0, 0, 0, 4] ->= [0, 0, 4, 0], [0, 4, 0, 0] ->= [0, 0]) 604.74/152.69 reason 604.74/152.69 EDG has 0 SCCs 604.74/152.69 604.74/152.69 ************************************************** 604.74/152.69 summary 604.74/152.69 ************************************************** 604.74/152.69 SRS with 8 rules on 5 letters Remap { tracing = False} 604.74/152.69 SRS with 8 rules on 5 letters weights 604.74/152.69 SRS with 7 rules on 5 letters reverse each lhs and rhs 604.74/152.69 SRS with 7 rules on 5 letters DP transform 604.74/152.69 SRS with 21 rules on 7 letters Remap { tracing = False} 604.74/152.69 SRS with 21 rules on 7 letters weights 604.74/152.69 SRS with 18 rules on 7 letters EDG 605.01/152.72 2 sub-proofs 605.01/152.72 1 SRS with 9 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 605.01/152.72 SRS with 8 rules on 6 letters EDG 605.01/152.72 SRS with 8 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 5, solver = Minisatapi, verbose = False, tracing = True} 605.01/152.72 SRS with 7 rules on 5 letters EDG 605.01/152.72 605.01/152.72 2 SRS with 12 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 605.01/152.72 SRS with 10 rules on 6 letters EDG 605.01/152.72 SRS with 10 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 605.01/152.72 SRS with 9 rules on 6 letters EDG 605.01/152.72 SRS with 9 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 605.01/152.72 SRS with 8 rules on 6 letters EDG 605.01/152.72 SRS with 8 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 605.01/152.72 SRS with 7 rules on 5 letters EDG 605.01/152.72 605.01/152.72 ************************************************** 605.01/152.75 (8, 5)\Weight(7, 5)\Deepee(21, 7)\Weight(18, 7)\EDG[(9, 6)\Matrix{\Arctic}{2}(8, 6)\Matrix{\Arctic}{5}(7, 5)\EDG[],(12, 6)\Matrix{\Arctic}{2}(10, 6)\Matrix{\Arctic}{4}(9, 6)\Matrix{\Arctic}{4}(8, 6)\Matrix{\Arctic}{4}(7, 5)\EDG[]] 605.01/152.75 ************************************************** 605.93/152.98 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]} 605.93/152.98 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 609.02/153.87 EOF