442.51/111.75 YES 442.51/111.75 property Termination 442.51/111.75 has value True 442.51/111.75 for SRS ( [a, a] -> [a, b, a, b, a], [c, a] -> [a, b, a, a, c], [b, b, b] -> [a, b], [c, b] -> [a, a, c], [c, b] -> [b, a, d], [d, d] -> [d, b, d, b, d], [c, c] -> [c, d, c], [a, a, a] -> [a, b, b]) 442.51/111.75 reason 442.51/111.75 remap for 8 rules 442.51/111.75 property Termination 442.51/111.75 has value True 442.51/111.75 for SRS ( [0, 0] -> [0, 1, 0, 1, 0], [2, 0] -> [0, 1, 0, 0, 2], [1, 1, 1] -> [0, 1], [2, 1] -> [0, 0, 2], [2, 1] -> [1, 0, 3], [3, 3] -> [3, 1, 3, 1, 3], [2, 2] -> [2, 3, 2], [0, 0, 0] -> [0, 1, 1]) 442.51/111.75 reason 442.51/111.75 weights 442.51/111.75 Map [(2, 1/1)] 442.51/111.75 442.51/111.75 property Termination 442.51/111.75 has value True 442.51/111.75 for SRS ( [0, 0] -> [0, 1, 0, 1, 0], [2, 0] -> [0, 1, 0, 0, 2], [1, 1, 1] -> [0, 1], [2, 1] -> [0, 0, 2], [3, 3] -> [3, 1, 3, 1, 3], [2, 2] -> [2, 3, 2], [0, 0, 0] -> [0, 1, 1]) 442.51/111.75 reason 442.51/111.75 reverse each lhs and rhs 442.51/111.75 property Termination 442.51/111.75 has value True 442.51/111.75 for SRS ( [0, 0] -> [0, 1, 0, 1, 0], [0, 2] -> [2, 0, 0, 1, 0], [1, 1, 1] -> [1, 0], [1, 2] -> [2, 0, 0], [3, 3] -> [3, 1, 3, 1, 3], [2, 2] -> [2, 3, 2], [0, 0, 0] -> [1, 1, 0]) 442.51/111.75 reason 442.51/111.75 DP transform 442.51/111.75 property Termination 442.51/111.75 has value True 442.51/111.75 for SRS ( [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0], [0#, 0] |-> [0#, 1, 0, 1, 0], [0#, 0] |-> [1#, 0, 1, 0], [0#, 0] |-> [0#, 1, 0], [0#, 0] |-> [1#, 0], [0#, 2] |-> [2#, 0, 0, 1, 0], [0#, 2] |-> [0#, 0, 1, 0], [0#, 2] |-> [0#, 1, 0], [0#, 2] |-> [1#, 0], [0#, 2] |-> [0#], [1#, 1, 1] |-> [1#, 0], [1#, 1, 1] |-> [0#], [1#, 2] |-> [2#, 0, 0], [1#, 2] |-> [0#, 0], [1#, 2] |-> [0#], [3#, 3] |-> [3#, 1, 3, 1, 3], [3#, 3] |-> [1#, 3, 1, 3], [3#, 3] |-> [3#, 1, 3], [3#, 3] |-> [1#, 3], [2#, 2] |-> [2#, 3, 2], [2#, 2] |-> [3#, 2], [0#, 0, 0] |-> [1#, 1, 0], [0#, 0, 0] |-> [1#, 0]) 442.51/111.75 reason 442.51/111.75 remap for 29 rules 442.51/111.75 property Termination 442.51/111.75 has value True 442.51/111.76 for SRS ( [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0], [4, 0] |-> [4, 1, 0, 1, 0], [4, 0] |-> [5, 0, 1, 0], [4, 0] |-> [4, 1, 0], [4, 0] |-> [5, 0], [4, 2] |-> [6, 0, 0, 1, 0], [4, 2] |-> [4, 0, 1, 0], [4, 2] |-> [4, 1, 0], [4, 2] |-> [5, 0], [4, 2] |-> [4], [5, 1, 1] |-> [5, 0], [5, 1, 1] |-> [4], [5, 2] |-> [6, 0, 0], [5, 2] |-> [4, 0], [5, 2] |-> [4], [7, 3] |-> [7, 1, 3, 1, 3], [7, 3] |-> [5, 3, 1, 3], [7, 3] |-> [7, 1, 3], [7, 3] |-> [5, 3], [6, 2] |-> [6, 3, 2], [6, 2] |-> [7, 2], [4, 0, 0] |-> [5, 1, 0], [4, 0, 0] |-> [5, 0]) 442.51/111.76 reason 442.51/111.76 weights 442.51/111.76 Map [(2, 4/1), (6, 3/1), (7, 2/1)] 442.51/111.76 442.51/111.76 property Termination 442.51/111.76 has value True 442.51/111.76 for SRS ( [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0], [4, 0] |-> [4, 1, 0, 1, 0], [4, 0] |-> [5, 0, 1, 0], [4, 0] |-> [4, 1, 0], [4, 0] |-> [5, 0], [5, 1, 1] |-> [5, 0], [5, 1, 1] |-> [4], [7, 3] |-> [7, 1, 3, 1, 3], [7, 3] |-> [7, 1, 3], [6, 2] |-> [6, 3, 2], [4, 0, 0] |-> [5, 1, 0], [4, 0, 0] |-> [5, 0]) 442.51/111.76 reason 442.51/111.76 EDG has 3 SCCs 442.51/111.76 property Termination 442.51/111.76 has value True 442.51/111.76 for SRS ( [6, 2] |-> [6, 3, 2], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.51/111.76 reason 442.51/111.76 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 442.51/111.76 interpretation 442.51/111.76 0 / 0A 0A \ 442.51/111.76 \ 0A 0A / 442.51/111.76 1 / 0A 0A \ 442.51/111.76 \ 0A 0A / 442.51/111.76 2 / 8A 8A \ 442.51/111.76 \ 8A 8A / 442.51/111.76 3 / 0A 0A \ 442.51/111.76 \ -2A -2A / 442.51/111.76 6 / 4A 6A \ 442.51/111.76 \ 4A 6A / 442.51/111.76 [6, 2] |-> [6, 3, 2] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 14A 14A \ / 12A 12A \ True True 442.51/111.76 \ 14A 14A / \ 12A 12A / 442.51/111.76 [0, 0] ->= [0, 1, 0, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ 0A 0A / \ 0A 0A / 442.51/111.76 [0, 2] ->= [2, 0, 0, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 8A 8A \ / 8A 8A \ True False 442.51/111.76 \ 8A 8A / \ 8A 8A / 442.51/111.76 [1, 1, 1] ->= [1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ 0A 0A / \ 0A 0A / 442.51/111.76 [1, 2] ->= [2, 0, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 8A 8A \ / 8A 8A \ True False 442.51/111.76 \ 8A 8A / \ 8A 8A / 442.51/111.76 [3, 3] ->= [3, 1, 3, 1, 3] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ -2A -2A / \ -2A -2A / 442.51/111.76 [2, 2] ->= [2, 3, 2] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 16A 16A \ / 16A 16A \ True False 442.51/111.76 \ 16A 16A / \ 16A 16A / 442.51/111.76 [0, 0, 0] ->= [1, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ 0A 0A / \ 0A 0A / 442.51/111.76 property Termination 442.51/111.76 has value True 442.51/111.76 for SRS ( [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.51/111.76 reason 442.51/111.76 EDG has 0 SCCs 442.51/111.76 442.51/111.76 property Termination 442.51/111.76 has value True 442.51/111.76 for SRS ( [7, 3] |-> [7, 1, 3, 1, 3], [7, 3] |-> [7, 1, 3], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.51/111.76 reason 442.51/111.76 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 442.51/111.76 interpretation 442.51/111.76 0 / 0A 0A \ 442.51/111.76 \ 0A 0A / 442.51/111.76 1 / 0A 0A \ 442.51/111.76 \ -2A -2A / 442.51/111.76 2 / 2A 2A \ 442.51/111.76 \ 0A 0A / 442.51/111.76 3 / 0A 2A \ 442.51/111.76 \ 0A 2A / 442.51/111.76 7 / 23A 25A \ 442.51/111.76 \ 23A 25A / 442.51/111.76 [7, 3] |-> [7, 1, 3, 1, 3] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 25A 27A \ / 23A 25A \ True True 442.51/111.76 \ 25A 27A / \ 23A 25A / 442.51/111.76 [7, 3] |-> [7, 1, 3] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 25A 27A \ / 23A 25A \ True True 442.51/111.76 \ 25A 27A / \ 23A 25A / 442.51/111.76 [0, 0] ->= [0, 1, 0, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ 0A 0A / \ 0A 0A / 442.51/111.76 [0, 2] ->= [2, 0, 0, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 2A 2A \ / 2A 2A \ True False 442.51/111.76 \ 2A 2A / \ 0A 0A / 442.51/111.76 [1, 1, 1] ->= [1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ -2A -2A / \ -2A -2A / 442.51/111.76 [1, 2] ->= [2, 0, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 2A 2A \ / 2A 2A \ True False 442.51/111.76 \ 0A 0A / \ 0A 0A / 442.51/111.76 [3, 3] ->= [3, 1, 3, 1, 3] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 2A 4A \ / 0A 2A \ True True 442.51/111.76 \ 2A 4A / \ 0A 2A / 442.51/111.76 [2, 2] ->= [2, 3, 2] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 4A 4A \ / 4A 4A \ True False 442.51/111.76 \ 2A 2A / \ 2A 2A / 442.51/111.76 [0, 0, 0] ->= [1, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ 0A 0A / \ -2A -2A / 442.51/111.76 property Termination 442.51/111.76 has value True 442.51/111.76 for SRS ( [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.51/111.76 reason 442.51/111.76 EDG has 0 SCCs 442.51/111.76 442.51/111.76 property Termination 442.51/111.76 has value True 442.51/111.76 for SRS ( [4, 0] |-> [4, 1, 0, 1, 0], [4, 0, 0] |-> [5, 0], [5, 1, 1] |-> [4], [4, 0, 0] |-> [5, 1, 0], [5, 1, 1] |-> [5, 0], [4, 0] |-> [5, 0], [4, 0] |-> [4, 1, 0], [4, 0] |-> [5, 0, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.51/111.76 reason 442.51/111.76 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 442.51/111.76 interpretation 442.51/111.76 0 / 0A 0A \ 442.51/111.76 \ 0A 0A / 442.51/111.76 1 / 0A 0A \ 442.51/111.76 \ -2A -2A / 442.51/111.76 2 / 0A 0A \ 442.51/111.76 \ -2A -2A / 442.51/111.76 3 / 0A 0A \ 442.51/111.76 \ -2A -2A / 442.51/111.76 4 / 3A 5A \ 442.51/111.76 \ 3A 5A / 442.51/111.76 5 / 5A 5A \ 442.51/111.76 \ 5A 5A / 442.51/111.76 [4, 0] |-> [4, 1, 0, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 5A 5A \ / 3A 3A \ True True 442.51/111.76 \ 5A 5A / \ 3A 3A / 442.51/111.76 [4, 0, 0] |-> [5, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 5A 5A \ / 5A 5A \ True False 442.51/111.76 \ 5A 5A / \ 5A 5A / 442.51/111.76 [5, 1, 1] |-> [4] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 5A 5A \ / 3A 5A \ True False 442.51/111.76 \ 5A 5A / \ 3A 5A / 442.51/111.76 [4, 0, 0] |-> [5, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 5A 5A \ / 5A 5A \ True False 442.51/111.76 \ 5A 5A / \ 5A 5A / 442.51/111.76 [5, 1, 1] |-> [5, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 5A 5A \ / 5A 5A \ True False 442.51/111.76 \ 5A 5A / \ 5A 5A / 442.51/111.76 [4, 0] |-> [5, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 5A 5A \ / 5A 5A \ True False 442.51/111.76 \ 5A 5A / \ 5A 5A / 442.51/111.76 [4, 0] |-> [4, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 5A 5A \ / 3A 3A \ True True 442.51/111.76 \ 5A 5A / \ 3A 3A / 442.51/111.76 [4, 0] |-> [5, 0, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 5A 5A \ / 5A 5A \ True False 442.51/111.76 \ 5A 5A / \ 5A 5A / 442.51/111.76 [0, 0] ->= [0, 1, 0, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ 0A 0A / \ 0A 0A / 442.51/111.76 [0, 2] ->= [2, 0, 0, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ 0A 0A / \ -2A -2A / 442.51/111.76 [1, 1, 1] ->= [1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ -2A -2A / \ -2A -2A / 442.51/111.76 [1, 2] ->= [2, 0, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ -2A -2A / \ -2A -2A / 442.51/111.76 [3, 3] ->= [3, 1, 3, 1, 3] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ -2A -2A / \ -2A -2A / 442.51/111.76 [2, 2] ->= [2, 3, 2] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ -2A -2A / \ -2A -2A / 442.51/111.76 [0, 0, 0] ->= [1, 1, 0] 442.51/111.76 lhs rhs ge gt 442.51/111.76 / 0A 0A \ / 0A 0A \ True False 442.51/111.76 \ 0A 0A / \ -2A -2A / 442.51/111.76 property Termination 442.51/111.76 has value True 442.51/111.77 for SRS ( [4, 0, 0] |-> [5, 0], [5, 1, 1] |-> [4], [4, 0, 0] |-> [5, 1, 0], [5, 1, 1] |-> [5, 0], [4, 0] |-> [5, 0], [4, 0] |-> [5, 0, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.51/111.77 reason 442.51/111.77 EDG has 1 SCCs 442.51/111.77 property Termination 442.51/111.77 has value True 442.51/111.77 for SRS ( [4, 0, 0] |-> [5, 0], [5, 1, 1] |-> [5, 0], [5, 1, 1] |-> [4], [4, 0] |-> [5, 0, 1, 0], [4, 0] |-> [5, 0], [4, 0, 0] |-> [5, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.51/111.77 reason 442.51/111.77 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 442.51/111.77 interpretation 442.51/111.77 0 Wk / 3A 0A 1A 1A \ 442.51/111.77 | 1A - - - | 442.51/111.77 | - - 0A 0A | 442.51/111.77 \ - - - 0A / 442.51/111.77 1 Wk / - - - 1A \ 442.51/111.77 | 0A 2A 1A 1A | 442.51/111.77 | - - - - | 442.51/111.77 \ - - - 0A / 442.51/111.77 2 Wk / - - - 0A \ 442.51/111.77 | - - - - | 442.51/111.77 | - - - - | 442.51/111.77 \ - - - 0A / 442.51/111.77 3 Wk / 2A - 2A 4A \ 442.51/111.77 | 0A - 0A 4A | 442.51/111.77 | 0A - 0A 2A | 442.51/111.77 \ - - - 0A / 442.51/111.77 4 Wk / - 0A 3A 2A \ 442.51/111.77 | - - - - | 442.51/111.77 | 0A 0A 4A 5A | 442.51/111.77 \ - - - 0A / 442.51/111.77 5 Wk / - 0A 3A 2A \ 442.51/111.77 | - - - - | 442.51/111.77 | 0A 2A 4A - | 442.51/111.77 \ - - - 0A / 442.51/111.77 [4, 0, 0] |-> [5, 0] 442.51/111.77 lhs rhs ge gt 442.51/111.77 Wk / 4A 1A 3A 3A \ Wk / 1A - 3A 3A \ True False 442.51/111.77 | - - - - | | - - - - | 442.51/111.77 | 6A 3A 4A 5A | | 3A 0A 4A 4A | 442.51/111.77 \ - - - 0A / \ - - - 0A / 442.51/111.77 [5, 1, 1] |-> [5, 0] 442.51/111.77 lhs rhs ge gt 442.51/111.77 Wk / 2A 4A 3A 3A \ Wk / 1A - 3A 3A \ True False 442.51/111.77 | - - - - | | - - - - | 442.51/111.77 | 4A 6A 5A 5A | | 3A 0A 4A 4A | 442.51/111.77 \ - - - 0A / \ - - - 0A / 442.51/111.77 [5, 1, 1] |-> [4] 442.51/111.78 lhs rhs ge gt 442.51/111.78 Wk / 2A 4A 3A 3A \ Wk / - 0A 3A 2A \ True False 442.51/111.78 | - - - - | | - - - - | 442.51/111.78 | 4A 6A 5A 5A | | 0A 0A 4A 5A | 442.51/111.78 \ - - - 0A / \ - - - 0A / 442.51/111.78 [4, 0] |-> [5, 0, 1, 0] 442.51/111.78 lhs rhs ge gt 442.51/111.78 Wk / 1A - 3A 3A \ Wk / - - - 3A \ True False 442.51/111.78 | - - - - | | - - - - | 442.51/111.78 | 3A 0A 4A 5A | | 3A 0A 1A 4A | 442.51/111.78 \ - - - 0A / \ - - - 0A / 442.51/111.78 [4, 0] |-> [5, 0] 442.51/111.78 lhs rhs ge gt 442.51/111.78 Wk / 1A - 3A 3A \ Wk / 1A - 3A 3A \ True False 442.51/111.78 | - - - - | | - - - - | 442.51/111.78 | 3A 0A 4A 5A | | 3A 0A 4A 4A | 442.51/111.78 \ - - - 0A / \ - - - 0A / 442.51/111.78 [4, 0, 0] |-> [5, 1, 0] 442.51/111.78 lhs rhs ge gt 442.51/111.78 Wk / 4A 1A 3A 3A \ Wk / 3A 0A 1A 2A \ True True 442.51/111.78 | - - - - | | - - - - | 442.51/111.78 | 6A 3A 4A 5A | | 5A 2A 3A 3A | 442.51/111.78 \ - - - 0A / \ - - - 0A / 442.51/111.78 [0, 0] ->= [0, 1, 0, 1, 0] 442.51/111.78 lhs rhs ge gt 442.51/111.78 Wk / 6A 3A 4A 4A \ Wk / 3A 0A 1A 4A \ True False 442.51/111.78 | 4A 1A 2A 2A | | - - - 2A | 442.51/111.78 | - - 0A 0A | | - - - 0A | 442.51/111.78 \ - - - 0A / \ - - - 0A / 442.51/111.78 [0, 2] ->= [2, 0, 0, 1, 0] 442.51/111.78 lhs rhs ge gt 442.51/111.78 Wk / - - - 3A \ Wk / - - - 0A \ True True 442.51/111.78 | - - - 1A | | - - - - | 442.51/111.78 | - - - 0A | | - - - - | 442.51/111.78 \ - - - 0A / \ - - - 0A / 442.51/111.78 [1, 1, 1] ->= [1, 0] 442.51/111.78 lhs rhs ge gt 442.51/111.78 Wk / - - - 1A \ Wk / - - - 1A \ True False 442.51/111.78 | 4A 6A 5A 5A | | 3A 0A 1A 1A | 442.51/111.78 | - - - - | | - - - - | 442.51/111.78 \ - - - 0A / \ - - - 0A / 442.51/111.78 [1, 2] ->= [2, 0, 0] 442.51/111.78 lhs rhs ge gt 442.51/111.78 Wk / - - - 1A \ Wk / - - - 0A \ True True 442.51/111.78 | - - - 1A | | - - - - | 442.51/111.78 | - - - - | | - - - - | 442.51/111.78 \ - - - 0A / \ - - - 0A / 442.51/111.78 [3, 3] ->= [3, 1, 3, 1, 3] 442.51/111.79 lhs rhs ge gt 442.51/111.79 Wk / 4A - 4A 6A \ Wk / - - - 4A \ True False 442.51/111.79 | 2A - 2A 4A | | - - - 4A | 442.51/111.79 | 2A - 2A 4A | | - - - 2A | 442.51/111.79 \ - - - 0A / \ - - - 0A / 442.51/111.79 [2, 2] ->= [2, 3, 2] 442.51/111.79 lhs rhs ge gt 442.51/111.79 Wk / - - - 0A \ Wk / - - - 0A \ True False 442.51/111.79 | - - - - | | - - - - | 442.51/111.79 | - - - - | | - - - - | 442.51/111.79 \ - - - 0A / \ - - - 0A / 442.51/111.79 [0, 0, 0] ->= [1, 1, 0] 442.51/111.79 lhs rhs ge gt 442.51/111.79 Wk / 9A 6A 7A 7A \ Wk / - - - 1A \ True True 442.51/111.79 | 7A 4A 5A 5A | | 5A 2A 3A 3A | 442.51/111.79 | - - 0A 0A | | - - - - | 442.51/111.79 \ - - - 0A / \ - - - 0A / 442.51/111.79 property Termination 442.51/111.79 has value True 442.51/111.79 for SRS ( [4, 0, 0] |-> [5, 0], [5, 1, 1] |-> [5, 0], [5, 1, 1] |-> [4], [4, 0] |-> [5, 0, 1, 0], [4, 0] |-> [5, 0], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.51/111.79 reason 442.51/111.79 EDG has 1 SCCs 442.51/111.79 property Termination 442.51/111.79 has value True 442.51/111.79 for SRS ( [4, 0, 0] |-> [5, 0], [5, 1, 1] |-> [4], [4, 0] |-> [5, 0], [5, 1, 1] |-> [5, 0], [4, 0] |-> [5, 0, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.51/111.79 reason 442.51/111.79 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 442.51/111.79 interpretation 442.51/111.79 0 Wk / - - 1A 0A \ 442.51/111.79 | 1A 2A 0A 3A | 442.51/111.79 | - - 1A 1A | 442.51/111.79 \ - - - 0A / 442.51/111.79 1 Wk / 1A - 1A 2A \ 442.51/111.79 | - - - 0A | 442.51/111.79 | - - - 1A | 442.51/111.79 \ - - - 0A / 442.51/111.79 2 Wk / - - - 0A \ 442.51/111.79 | - - - - | 442.51/111.79 | - - - 0A | 442.51/111.79 \ - - - 0A / 442.51/111.79 3 Wk / 0A - 3A 4A \ 442.51/111.79 | 0A 4A 1A 3A | 442.51/111.79 | 0A - 3A 4A | 442.51/111.79 \ - - - 0A / 442.87/111.79 4 Wk / - - 2A 3A \ 442.87/111.79 | - - - - | 442.87/111.79 | - - - - | 442.87/111.79 \ - - - 0A / 442.87/111.80 5 Wk / 0A - - 3A \ 442.87/111.80 | - - - - | 442.87/111.80 | - - - - | 442.87/111.80 \ - - - 0A / 442.87/111.80 [4, 0, 0] |-> [5, 0] 442.87/111.80 lhs rhs ge gt 442.87/111.80 Wk / - - 4A 4A \ Wk / - - 1A 3A \ True True 442.87/111.80 | - - - - | | - - - - | 442.87/111.80 | - - - - | | - - - - | 442.87/111.80 \ - - - 0A / \ - - - 0A / 442.87/111.80 [5, 1, 1] |-> [4] 442.87/111.80 lhs rhs ge gt 442.87/111.80 Wk / 2A - 2A 3A \ Wk / - - 2A 3A \ True False 442.87/111.80 | - - - - | | - - - - | 442.87/111.80 | - - - - | | - - - - | 442.87/111.80 \ - - - 0A / \ - - - 0A / 442.87/111.80 [4, 0] |-> [5, 0] 442.87/111.80 lhs rhs ge gt 442.87/111.80 Wk / - - 3A 3A \ Wk / - - 1A 3A \ True False 442.87/111.80 | - - - - | | - - - - | 442.87/111.80 | - - - - | | - - - - | 442.87/111.80 \ - - - 0A / \ - - - 0A / 442.87/111.80 [5, 1, 1] |-> [5, 0] 442.87/111.80 lhs rhs ge gt 442.87/111.80 Wk / 2A - 2A 3A \ Wk / - - 1A 3A \ True False 442.87/111.80 | - - - - | | - - - - | 442.87/111.80 | - - - - | | - - - - | 442.87/111.80 \ - - - 0A / \ - - - 0A / 442.87/111.80 [4, 0] |-> [5, 0, 1, 0] 442.87/111.80 lhs rhs ge gt 442.87/111.80 Wk / - - 3A 3A \ Wk / - - - 3A \ True False 442.87/111.80 | - - - - | | - - - - | 442.87/111.80 | - - - - | | - - - - | 442.87/111.80 \ - - - 0A / \ - - - 0A / 442.87/111.80 [0, 0] ->= [0, 1, 0, 1, 0] 442.87/111.80 lhs rhs ge gt 442.87/111.80 Wk / - - 2A 2A \ Wk / - - - 2A \ True False 442.87/111.80 | 3A 4A 2A 5A | | - - - 4A | 442.87/111.80 | - - 2A 2A | | - - - 2A | 442.87/111.80 \ - - - 0A / \ - - - 0A / 442.87/111.80 [0, 2] ->= [2, 0, 0, 1, 0] 442.87/111.80 lhs rhs ge gt 442.87/111.80 Wk / - - - 1A \ Wk / - - - 0A \ True True 442.87/111.80 | - - - 3A | | - - - - | 442.87/111.80 | - - - 1A | | - - - 0A | 442.87/111.80 \ - - - 0A / \ - - - 0A / 442.87/111.80 [1, 1, 1] ->= [1, 0] 442.87/111.81 lhs rhs ge gt 442.87/111.81 Wk / 3A - 3A 4A \ Wk / - - 2A 2A \ True False 442.87/111.81 | - - - 0A | | - - - 0A | 442.87/111.81 | - - - 1A | | - - - 1A | 442.87/111.81 \ - - - 0A / \ - - - 0A / 442.87/111.81 [1, 2] ->= [2, 0, 0] 442.87/111.81 lhs rhs ge gt 442.87/111.81 Wk / - - - 2A \ Wk / - - - 0A \ True True 442.87/111.81 | - - - 0A | | - - - - | 442.87/111.81 | - - - 1A | | - - - 0A | 442.87/111.81 \ - - - 0A / \ - - - 0A / 442.87/111.81 [3, 3] ->= [3, 1, 3, 1, 3] 442.87/111.81 lhs rhs ge gt 442.87/111.81 Wk / 3A - 6A 7A \ Wk / 2A - 5A 6A \ True False 442.87/111.81 | 4A 8A 5A 7A | | 2A - 5A 6A | 442.87/111.81 | 3A - 6A 7A | | 2A - 5A 6A | 442.87/111.81 \ - - - 0A / \ - - - 0A / 442.87/111.81 [2, 2] ->= [2, 3, 2] 442.87/111.81 lhs rhs ge gt 442.87/111.81 Wk / - - - 0A \ Wk / - - - 0A \ True False 442.87/111.81 | - - - - | | - - - - | 442.87/111.81 | - - - 0A | | - - - 0A | 442.87/111.81 \ - - - 0A / \ - - - 0A / 442.87/111.81 [0, 0, 0] ->= [1, 1, 0] 442.87/111.81 lhs rhs ge gt 442.87/111.81 Wk / - - 3A 3A \ Wk / - - 3A 3A \ True False 442.87/111.81 | 5A 6A 4A 7A | | - - - 0A | 442.87/111.81 | - - 3A 3A | | - - - 1A | 442.87/111.81 \ - - - 0A / \ - - - 0A / 442.87/111.81 property Termination 442.87/111.81 has value True 442.87/111.81 for SRS ( [5, 1, 1] |-> [4], [4, 0] |-> [5, 0], [5, 1, 1] |-> [5, 0], [4, 0] |-> [5, 0, 1, 0], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.87/111.81 reason 442.87/111.81 EDG has 1 SCCs 442.87/111.81 property Termination 442.87/111.81 has value True 442.87/111.81 for SRS ( [5, 1, 1] |-> [4], [4, 0] |-> [5, 0, 1, 0], [5, 1, 1] |-> [5, 0], [4, 0] |-> [5, 0], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.87/111.81 reason 442.87/111.81 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 442.87/111.81 interpretation 442.87/111.81 0 Wk / - - 0A 2A \ 442.87/111.81 | 0A - 0A 2A | 442.87/111.81 | 1A - 1A 4A | 442.87/111.81 \ - - - 0A / 442.87/111.81 1 Wk / 1A 0A - 3A \ 442.87/111.81 | 1A 0A 0A - | 442.87/111.81 | - 0A - 0A | 442.87/111.81 \ - - - 0A / 442.87/111.81 2 Wk / - - - 0A \ 442.87/111.81 | - - - - | 442.87/111.81 | - - - - | 442.87/111.81 \ - - - 0A / 442.87/111.81 3 Wk / - - - 2A \ 442.87/111.81 | 0A 0A 0A 3A | 442.87/111.81 | 0A 0A - 1A | 442.87/111.81 \ - - - 0A / 442.87/111.81 4 Wk / 2A 2A 2A 6A \ 442.87/111.81 | - - - - | 442.87/111.81 | 5A 4A - 7A | 442.87/111.81 \ - - - 0A / 442.87/111.81 5 Wk / - 2A - 5A \ 442.87/111.81 | - - - - | 442.87/111.81 | - 3A 1A 6A | 442.87/111.81 \ - - - 0A / 442.87/111.81 [5, 1, 1] |-> [4] 442.87/111.82 lhs rhs ge gt 442.87/111.82 Wk / 4A 3A 2A 6A \ Wk / 2A 2A 2A 6A \ True False 442.87/111.82 | - - - - | | - - - - | 442.87/111.82 | 5A 4A 3A 7A | | 5A 4A - 7A | 442.87/111.82 \ - - - 0A / \ - - - 0A / 442.87/111.82 [4, 0] |-> [5, 0, 1, 0] 442.87/111.82 lhs rhs ge gt 442.87/111.82 Wk / 3A - 3A 6A \ Wk / 2A - 3A 5A \ True False 442.87/111.82 | - - - - | | - - - - | 442.87/111.82 | 4A - 5A 7A | | 3A - 4A 6A | 442.87/111.82 \ - - - 0A / \ - - - 0A / 442.87/111.82 [5, 1, 1] |-> [5, 0] 442.87/111.82 lhs rhs ge gt 442.87/111.82 Wk / 4A 3A 2A 6A \ Wk / 2A - 2A 5A \ True False 442.87/111.82 | - - - - | | - - - - | 442.87/111.82 | 5A 4A 3A 7A | | 3A - 3A 6A | 442.87/111.82 \ - - - 0A / \ - - - 0A / 442.87/111.82 [4, 0] |-> [5, 0] 442.87/111.82 lhs rhs ge gt 442.87/111.82 Wk / 3A - 3A 6A \ Wk / 2A - 2A 5A \ True True 442.87/111.82 | - - - - | | - - - - | 442.87/111.82 | 4A - 5A 7A | | 3A - 3A 6A | 442.87/111.82 \ - - - 0A / \ - - - 0A / 442.87/111.82 [0, 0] ->= [0, 1, 0, 1, 0] 442.87/111.82 lhs rhs ge gt 442.87/111.82 Wk / 1A - 1A 4A \ Wk / 0A - 1A 3A \ True False 442.87/111.82 | 1A - 1A 4A | | 1A - 1A 3A | 442.87/111.82 | 2A - 2A 5A | | 2A - 2A 4A | 442.87/111.82 \ - - - 0A / \ - - - 0A / 442.87/111.82 [0, 2] ->= [2, 0, 0, 1, 0] 442.87/111.83 lhs rhs ge gt 442.87/111.83 Wk / - - - 2A \ Wk / - - - 0A \ True True 442.87/111.83 | - - - 2A | | - - - - | 442.87/111.83 | - - - 4A | | - - - - | 442.87/111.83 \ - - - 0A / \ - - - 0A / 442.87/111.83 [1, 1, 1] ->= [1, 0] 442.87/111.83 lhs rhs ge gt 442.87/111.83 Wk / 3A 2A 1A 5A \ Wk / 0A - 1A 3A \ True False 442.87/111.83 | 3A 2A 1A 5A | | 1A - 1A 4A | 442.87/111.83 | 2A 1A 0A 4A | | 0A - 0A 2A | 442.87/111.83 \ - - - 0A / \ - - - 0A / 442.87/111.83 [1, 2] ->= [2, 0, 0] 442.87/111.83 lhs rhs ge gt 442.87/111.83 Wk / - - - 3A \ Wk / - - - 0A \ True True 442.87/111.83 | - - - 1A | | - - - - | 442.87/111.83 | - - - 0A | | - - - - | 442.87/111.83 \ - - - 0A / \ - - - 0A / 442.87/111.83 [3, 3] ->= [3, 1, 3, 1, 3] 442.87/111.83 lhs rhs ge gt 442.87/111.83 Wk / - - - 2A \ Wk / - - - 2A \ True False 442.87/111.83 | 0A 0A 0A 3A | | 0A 0A 0A 3A | 442.87/111.83 | 0A 0A 0A 3A | | 0A 0A 0A 3A | 442.87/111.83 \ - - - 0A / \ - - - 0A / 442.87/111.83 [2, 2] ->= [2, 3, 2] 442.87/111.83 lhs rhs ge gt 442.87/111.83 Wk / - - - 0A \ Wk / - - - 0A \ True False 442.87/111.83 | - - - - | | - - - - | 442.87/111.83 | - - - - | | - - - - | 442.87/111.83 \ - - - 0A / \ - - - 0A / 442.87/111.83 [0, 0, 0] ->= [1, 1, 0] 442.87/111.83 lhs rhs ge gt 442.87/111.83 Wk / 2A - 2A 5A \ Wk / 1A - 2A 4A \ True False 442.87/111.83 | 2A - 2A 5A | | 1A - 2A 4A | 442.87/111.83 | 3A - 3A 6A | | 1A - 1A 4A | 442.87/111.83 \ - - - 0A / \ - - - 0A / 442.87/111.83 property Termination 442.87/111.83 has value True 442.87/111.83 for SRS ( [5, 1, 1] |-> [4], [4, 0] |-> [5, 0, 1, 0], [5, 1, 1] |-> [5, 0], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.87/111.83 reason 442.87/111.83 EDG has 1 SCCs 442.87/111.83 property Termination 442.87/111.83 has value True 442.87/111.83 for SRS ( [5, 1, 1] |-> [4], [4, 0] |-> [5, 0, 1, 0], [5, 1, 1] |-> [5, 0], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.87/111.83 reason 442.87/111.83 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 442.87/111.83 interpretation 442.87/111.83 0 Wk / 2A 0A - 2A \ 442.87/111.83 | 1A - - - | 442.87/111.83 | 2A 1A - - | 442.87/111.83 \ - - - 0A / 442.87/111.83 1 Wk / - 0A - 1A \ 442.87/111.83 | 0A 1A - - | 442.87/111.83 | 1A 4A - 5A | 442.87/111.83 \ - - - 0A / 442.87/111.83 2 Wk / - - - 5A \ 442.87/111.83 | - - - 6A | 442.87/111.83 | - - - - | 442.87/111.83 \ - - - 0A / 442.87/111.83 3 Wk / 0A - - 6A \ 442.87/111.83 | - - - 6A | 442.87/111.83 | - - - 6A | 442.87/111.83 \ - - - 0A / 442.87/111.83 4 Wk / 3A - - 1A \ 442.87/111.83 | 1A 4A - - | 442.87/111.83 | 5A 6A - 6A | 442.87/111.83 \ - - - 0A / 442.87/111.84 5 Wk / - - 2A 3A \ 442.87/111.84 | - 0A 0A - | 442.87/111.84 | 4A 5A - 7A | 442.87/111.84 \ - - - 0A / 442.87/111.84 [5, 1, 1] |-> [4] 442.87/111.84 lhs rhs ge gt 442.87/111.84 Wk / 6A 7A - 7A \ Wk / 3A - - 1A \ True True 442.87/111.84 | 4A 5A - 5A | | 1A 4A - - | 442.87/111.84 | 6A 7A - 7A | | 5A 6A - 6A | 442.87/111.84 \ - - - 0A / \ - - - 0A / 442.87/111.84 [4, 0] |-> [5, 0, 1, 0] 442.87/111.84 lhs rhs ge gt 442.87/111.84 Wk / 5A 3A - 5A \ Wk / 5A 3A - 5A \ True False 442.87/111.84 | 5A 1A - 3A | | 3A 1A - 3A | 442.87/111.84 | 7A 5A - 7A | | 7A 4A - 7A | 442.87/111.84 \ - - - 0A / \ - - - 0A / 442.87/111.84 [5, 1, 1] |-> [5, 0] 442.87/111.84 lhs rhs ge gt 442.87/111.84 Wk / 6A 7A - 7A \ Wk / 4A 3A - 3A \ True False 442.87/111.84 | 4A 5A - 5A | | 2A 1A - - | 442.87/111.84 | 6A 7A - 7A | | 6A 4A - 7A | 442.87/111.84 \ - - - 0A / \ - - - 0A / 442.87/111.84 [0, 0] ->= [0, 1, 0, 1, 0] 442.87/111.84 lhs rhs ge gt 442.87/111.84 Wk / 4A 2A - 4A \ Wk / 4A 0A - 4A \ True False 442.87/111.84 | 3A 1A - 3A | | 3A - - 3A | 442.87/111.84 | 4A 2A - 4A | | 4A 1A - 4A | 442.87/111.84 \ - - - 0A / \ - - - 0A / 442.87/111.84 [0, 2] ->= [2, 0, 0, 1, 0] 442.87/111.84 lhs rhs ge gt 442.87/111.84 Wk / - - - 7A \ Wk / - - - 5A \ True False 442.87/111.84 | - - - 6A | | - - - 6A | 442.87/111.84 | - - - 7A | | - - - - | 442.87/111.84 \ - - - 0A / \ - - - 0A / 442.87/111.84 [1, 1, 1] ->= [1, 0] 442.87/111.84 lhs rhs ge gt 442.87/111.84 Wk / 1A 2A - 1A \ Wk / 1A - - 1A \ True False 442.87/111.84 | 2A 3A - 2A | | 2A 0A - 2A | 442.87/111.84 | 5A 6A - 5A | | 5A 1A - 5A | 442.87/111.84 \ - - - 0A / \ - - - 0A / 442.87/111.84 [1, 2] ->= [2, 0, 0] 442.87/111.85 lhs rhs ge gt 442.87/111.85 Wk / - - - 6A \ Wk / - - - 5A \ True True 442.87/111.85 | - - - 7A | | - - - 6A | 442.87/111.85 | - - - 10A | | - - - - | 442.87/111.85 \ - - - 0A / \ - - - 0A / 442.87/111.85 [3, 3] ->= [3, 1, 3, 1, 3] 442.87/111.85 lhs rhs ge gt 442.87/111.85 Wk / 0A - - 6A \ Wk / - - - 6A \ True False 442.87/111.85 | - - - 6A | | - - - 6A | 442.87/111.85 | - - - 6A | | - - - 6A | 442.87/111.85 \ - - - 0A / \ - - - 0A / 442.87/111.85 [2, 2] ->= [2, 3, 2] 442.87/111.85 lhs rhs ge gt 442.87/111.85 Wk / - - - 5A \ Wk / - - - 5A \ True False 442.87/111.85 | - - - 6A | | - - - 6A | 442.87/111.85 | - - - - | | - - - - | 442.87/111.85 \ - - - 0A / \ - - - 0A / 442.87/111.85 [0, 0, 0] ->= [1, 1, 0] 442.87/111.85 lhs rhs ge gt 442.87/111.85 Wk / 6A 4A - 6A \ Wk / 2A 0A - 2A \ True False 442.87/111.85 | 5A 3A - 5A | | 3A 1A - 3A | 442.87/111.85 | 6A 4A - 6A | | 6A 4A - 6A | 442.87/111.85 \ - - - 0A / \ - - - 0A / 442.87/111.85 property Termination 442.87/111.85 has value True 442.87/111.85 for SRS ( [4, 0] |-> [5, 0, 1, 0], [5, 1, 1] |-> [5, 0], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.87/111.85 reason 442.87/111.85 weights 442.87/111.85 Map [(4, 1/1)] 442.87/111.85 442.87/111.85 property Termination 442.87/111.85 has value True 442.87/111.85 for SRS ( [5, 1, 1] |-> [5, 0], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.87/111.85 reason 442.87/111.85 EDG has 1 SCCs 442.87/111.85 property Termination 442.87/111.85 has value True 442.87/111.85 for SRS ( [5, 1, 1] |-> [5, 0], [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.87/111.85 reason 442.87/111.85 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 442.87/111.85 interpretation 442.87/111.85 0 Wk / 2A - - 2A \ 442.87/111.85 | - - 0A 3A | 442.87/111.85 | 1A - - - | 442.87/111.85 \ - - - 0A / 442.87/111.85 1 Wk / - - - 0A \ 442.87/111.85 | 0A - 0A - | 442.87/111.85 | 0A - 2A 2A | 442.87/111.85 \ - - - 0A / 442.87/111.85 2 Wk / - - - 0A \ 442.87/111.85 | - - - 0A | 442.87/111.85 | - - - 0A | 442.87/111.85 \ - - - 0A / 442.87/111.85 3 Wk / 0A - 0A 5A \ 442.87/111.85 | 0A 0A - 0A | 442.87/111.85 | - - - 3A | 442.87/111.85 \ - - - 0A / 442.87/111.85 5 Wk / 2A 1A 3A 4A \ 442.87/111.85 | - - - - | 442.87/111.85 | - - - - | 442.87/111.86 \ - - - 0A / 442.87/111.86 [5, 1, 1] |-> [5, 0] 442.87/111.86 lhs rhs ge gt 442.87/111.86 Wk / 5A - 7A 7A \ Wk / 4A - 1A 4A \ True True 442.87/111.86 | - - - - | | - - - - | 442.87/111.86 | - - - - | | - - - - | 442.87/111.86 \ - - - 0A / \ - - - 0A / 442.87/111.86 [0, 0] ->= [0, 1, 0, 1, 0] 442.87/111.86 lhs rhs ge gt 442.87/111.86 Wk / 4A - - 4A \ Wk / - - - 2A \ True False 442.87/111.86 | 1A - - 3A | | - - - 3A | 442.87/111.86 | 3A - - 3A | | - - - 1A | 442.87/111.86 \ - - - 0A / \ - - - 0A / 442.87/111.86 [0, 2] ->= [2, 0, 0, 1, 0] 442.87/111.86 lhs rhs ge gt 442.87/111.86 Wk / - - - 2A \ Wk / - - - 0A \ True True 442.87/111.86 | - - - 3A | | - - - 0A | 442.87/111.86 | - - - 1A | | - - - 0A | 442.87/111.86 \ - - - 0A / \ - - - 0A / 442.87/111.86 [1, 1, 1] ->= [1, 0] 442.87/111.86 lhs rhs ge gt 442.87/111.86 Wk / - - - 0A \ Wk / - - - 0A \ True False 442.87/111.86 | 2A - 4A 4A | | 2A - - 2A | 442.87/111.86 | 4A - 6A 6A | | 3A - - 2A | 442.87/111.86 \ - - - 0A / \ - - - 0A / 442.87/111.86 [1, 2] ->= [2, 0, 0] 442.87/111.86 lhs rhs ge gt 442.87/111.86 Wk / - - - 0A \ Wk / - - - 0A \ True False 442.87/111.86 | - - - 0A | | - - - 0A | 442.87/111.86 | - - - 2A | | - - - 0A | 442.87/111.86 \ - - - 0A / \ - - - 0A / 442.87/111.86 [3, 3] ->= [3, 1, 3, 1, 3] 442.87/111.86 lhs rhs ge gt 442.87/111.86 Wk / 0A - 0A 5A \ Wk / 0A - 0A 5A \ True False 442.87/111.86 | 0A 0A 0A 5A | | 0A - 0A 5A | 442.87/111.86 | - - - 3A | | - - - 3A | 442.87/111.86 \ - - - 0A / \ - - - 0A / 442.87/111.86 [2, 2] ->= [2, 3, 2] 442.87/111.86 lhs rhs ge gt 442.87/111.86 Wk / - - - 0A \ Wk / - - - 0A \ True False 442.87/111.86 | - - - 0A | | - - - 0A | 442.87/111.86 | - - - 0A | | - - - 0A | 442.87/111.86 \ - - - 0A / \ - - - 0A / 442.87/111.86 [0, 0, 0] ->= [1, 1, 0] 442.87/111.86 lhs rhs ge gt 442.87/111.86 Wk / 6A - - 6A \ Wk / - - - 0A \ True False 442.87/111.86 | 3A - - 3A | | 3A - - 2A | 442.87/111.86 | 5A - - 5A | | 5A - - 4A | 442.87/111.86 \ - - - 0A / \ - - - 0A / 442.87/111.86 property Termination 442.87/111.86 has value True 442.87/111.87 for SRS ( [0, 0] ->= [0, 1, 0, 1, 0], [0, 2] ->= [2, 0, 0, 1, 0], [1, 1, 1] ->= [1, 0], [1, 2] ->= [2, 0, 0], [3, 3] ->= [3, 1, 3, 1, 3], [2, 2] ->= [2, 3, 2], [0, 0, 0] ->= [1, 1, 0]) 442.87/111.87 reason 442.87/111.87 EDG has 0 SCCs 442.87/111.87 442.87/111.87 ************************************************** 442.87/111.87 summary 442.87/111.87 ************************************************** 442.87/111.87 SRS with 8 rules on 4 letters Remap { tracing = False} 442.87/111.87 SRS with 8 rules on 4 letters weights 442.87/111.87 SRS with 7 rules on 4 letters reverse each lhs and rhs 442.87/111.87 SRS with 7 rules on 4 letters DP transform 442.87/111.87 SRS with 29 rules on 8 letters Remap { tracing = False} 442.87/111.87 SRS with 29 rules on 8 letters weights 442.87/111.87 SRS with 18 rules on 8 letters EDG 442.87/111.87 3 sub-proofs 442.87/111.87 1 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 442.87/111.87 SRS with 7 rules on 4 letters EDG 442.87/111.87 442.87/111.87 2 SRS with 9 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 442.87/111.87 SRS with 7 rules on 4 letters EDG 442.87/111.87 442.87/111.87 3 SRS with 15 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 442.87/111.87 SRS with 13 rules on 6 letters EDG 442.87/111.87 SRS with 13 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 442.87/111.87 SRS with 12 rules on 6 letters EDG 442.87/111.87 SRS with 12 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 442.87/111.87 SRS with 11 rules on 6 letters EDG 442.87/111.87 SRS with 11 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 442.87/111.87 SRS with 10 rules on 6 letters EDG 442.87/111.87 SRS with 10 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 442.87/111.87 SRS with 9 rules on 6 letters weights 442.87/111.87 SRS with 8 rules on 5 letters EDG 442.87/111.87 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 442.87/111.87 SRS with 7 rules on 4 letters EDG 442.87/111.87 442.87/111.87 ************************************************** 442.87/111.88 (8, 4)\Weight(7, 4)\Deepee(29, 8)\Weight(18, 8)\EDG[(8, 5)\Matrix{\Arctic}{2}(7, 4)\EDG[],(9, 5)\Matrix{\Arctic}{2}(7, 4)\EDG[],(15, 6)\Matrix{\Arctic}{2}(13, 6)\Matrix{\Arctic}{4}(12, 6)\Matrix{\Arctic}{4}(11, 6)\Matrix{\Arctic}{4}(10, 6)\Matrix{\Arctic}{4}(9, 6)\Weight(8, 5)\Matrix{\Arctic}{4}(7, 4)\EDG[]] 442.87/111.88 ************************************************** 443.29/111.90 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]} 443.29/111.90 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 444.72/112.69 EOF