162.43/41.08 YES 162.43/41.08 property Termination 162.43/41.08 has value True 162.43/41.09 for SRS ( [a, c] -> [c, b, c, c, a], [b, b, b] -> [c, b], [d, d] -> [d, b, d, b, d], [a, a] -> [a, d, a], [a, b] -> [c, c, a], [c, c] -> [c, b, c, b, c], [c, c, c] -> [c, b, b]) 162.43/41.09 reason 162.43/41.09 remap for 7 rules 162.43/41.09 property Termination 162.43/41.09 has value True 162.52/41.11 for SRS ( [0, 1] -> [1, 2, 1, 1, 0], [2, 2, 2] -> [1, 2], [3, 3] -> [3, 2, 3, 2, 3], [0, 0] -> [0, 3, 0], [0, 2] -> [1, 1, 0], [1, 1] -> [1, 2, 1, 2, 1], [1, 1, 1] -> [1, 2, 2]) 162.52/41.11 reason 162.52/41.11 reverse each lhs and rhs 162.52/41.11 property Termination 162.52/41.11 has value True 162.52/41.11 for SRS ( [1, 0] -> [0, 1, 1, 2, 1], [2, 2, 2] -> [2, 1], [3, 3] -> [3, 2, 3, 2, 3], [0, 0] -> [0, 3, 0], [2, 0] -> [0, 1, 1], [1, 1] -> [1, 2, 1, 2, 1], [1, 1, 1] -> [2, 2, 1]) 162.52/41.11 reason 162.52/41.11 DP transform 162.52/41.11 property Termination 162.52/41.11 has value True 162.52/41.11 for SRS ( [1, 0] ->= [0, 1, 1, 2, 1], [2, 2, 2] ->= [2, 1], [3, 3] ->= [3, 2, 3, 2, 3], [0, 0] ->= [0, 3, 0], [2, 0] ->= [0, 1, 1], [1, 1] ->= [1, 2, 1, 2, 1], [1, 1, 1] ->= [2, 2, 1], [1#, 0] |-> [0#, 1, 1, 2, 1], [1#, 0] |-> [1#, 1, 2, 1], [1#, 0] |-> [1#, 2, 1], [1#, 0] |-> [2#, 1], [1#, 0] |-> [1#], [2#, 2, 2] |-> [2#, 1], [2#, 2, 2] |-> [1#], [3#, 3] |-> [3#, 2, 3, 2, 3], [3#, 3] |-> [2#, 3, 2, 3], [3#, 3] |-> [3#, 2, 3], [3#, 3] |-> [2#, 3], [0#, 0] |-> [0#, 3, 0], [0#, 0] |-> [3#, 0], [2#, 0] |-> [0#, 1, 1], [2#, 0] |-> [1#, 1], [2#, 0] |-> [1#], [1#, 1] |-> [1#, 2, 1, 2, 1], [1#, 1] |-> [2#, 1, 2, 1], [1#, 1] |-> [1#, 2, 1], [1#, 1] |-> [2#, 1], [1#, 1, 1] |-> [2#, 2, 1], [1#, 1, 1] |-> [2#, 1]) 162.52/41.11 reason 162.52/41.11 remap for 29 rules 162.52/41.11 property Termination 162.52/41.11 has value True 162.52/41.12 for SRS ( [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0], [4, 1] |-> [5, 0, 0, 2, 0], [4, 1] |-> [4, 0, 2, 0], [4, 1] |-> [4, 2, 0], [4, 1] |-> [6, 0], [4, 1] |-> [4], [6, 2, 2] |-> [6, 0], [6, 2, 2] |-> [4], [7, 3] |-> [7, 2, 3, 2, 3], [7, 3] |-> [6, 3, 2, 3], [7, 3] |-> [7, 2, 3], [7, 3] |-> [6, 3], [5, 1] |-> [5, 3, 1], [5, 1] |-> [7, 1], [6, 1] |-> [5, 0, 0], [6, 1] |-> [4, 0], [6, 1] |-> [4], [4, 0] |-> [4, 2, 0, 2, 0], [4, 0] |-> [6, 0, 2, 0], [4, 0] |-> [4, 2, 0], [4, 0] |-> [6, 0], [4, 0, 0] |-> [6, 2, 0], [4, 0, 0] |-> [6, 0]) 162.52/41.12 reason 162.52/41.12 weights 162.52/41.12 Map [(1, 4/1), (5, 3/1), (7, 2/1)] 162.52/41.12 162.52/41.12 property Termination 162.52/41.12 has value True 162.52/41.12 for SRS ( [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0], [6, 2, 2] |-> [6, 0], [6, 2, 2] |-> [4], [7, 3] |-> [7, 2, 3, 2, 3], [7, 3] |-> [7, 2, 3], [5, 1] |-> [5, 3, 1], [4, 0] |-> [4, 2, 0, 2, 0], [4, 0] |-> [6, 0, 2, 0], [4, 0] |-> [4, 2, 0], [4, 0] |-> [6, 0], [4, 0, 0] |-> [6, 2, 0], [4, 0, 0] |-> [6, 0]) 162.52/41.12 reason 162.52/41.12 EDG has 3 SCCs 162.52/41.12 property Termination 162.52/41.12 has value True 162.62/41.13 for SRS ( [5, 1] |-> [5, 3, 1], [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0]) 162.62/41.13 reason 162.62/41.13 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 162.62/41.13 interpretation 162.62/41.13 0 / 0A 0A \ 162.62/41.13 \ -2A 0A / 162.62/41.13 1 / 10A 12A \ 162.62/41.13 \ 10A 12A / 162.62/41.13 2 / 0A 0A \ 162.62/41.13 \ -2A 0A / 162.62/41.13 3 / 0A 0A \ 162.62/41.13 \ -2A -2A / 162.62/41.13 5 / 7A 8A \ 162.62/41.13 \ 7A 8A / 162.62/41.13 [5, 1] |-> [5, 3, 1] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 18A 20A \ / 17A 19A \ True True 162.62/41.13 \ 18A 20A / \ 17A 19A / 162.62/41.13 [0, 1] ->= [1, 0, 0, 2, 0] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 10A 12A \ / 10A 12A \ True False 162.62/41.13 \ 10A 12A / \ 10A 12A / 162.62/41.13 [2, 2, 2] ->= [2, 0] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 0A 0A \ / 0A 0A \ True False 162.62/41.13 \ -2A 0A / \ -2A 0A / 162.62/41.13 [3, 3] ->= [3, 2, 3, 2, 3] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 0A 0A \ / 0A 0A \ True False 162.62/41.13 \ -2A -2A / \ -2A -2A / 162.62/41.13 [1, 1] ->= [1, 3, 1] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 22A 24A \ / 20A 22A \ True True 162.62/41.13 \ 22A 24A / \ 20A 22A / 162.62/41.13 [2, 1] ->= [1, 0, 0] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 10A 12A \ / 10A 12A \ True False 162.62/41.13 \ 10A 12A / \ 10A 12A / 162.62/41.13 [0, 0] ->= [0, 2, 0, 2, 0] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 0A 0A \ / 0A 0A \ True False 162.62/41.13 \ -2A 0A / \ -2A 0A / 162.62/41.13 [0, 0, 0] ->= [2, 2, 0] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 0A 0A \ / 0A 0A \ True False 162.62/41.13 \ -2A 0A / \ -2A 0A / 162.62/41.13 property Termination 162.62/41.13 has value True 162.62/41.13 for SRS ( [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0]) 162.62/41.13 reason 162.62/41.13 EDG has 0 SCCs 162.62/41.13 162.62/41.13 property Termination 162.62/41.13 has value True 162.62/41.13 for SRS ( [7, 3] |-> [7, 2, 3, 2, 3], [7, 3] |-> [7, 2, 3], [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0]) 162.62/41.13 reason 162.62/41.13 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 162.62/41.13 interpretation 162.62/41.13 0 / 0A 0A \ 162.62/41.13 \ -2A 0A / 162.62/41.13 1 / 12A 12A \ 162.62/41.13 \ 10A 10A / 162.62/41.13 2 / 0A 0A \ 162.62/41.13 \ -2A -2A / 162.62/41.13 3 / 0A 2A \ 162.62/41.13 \ 0A 2A / 162.62/41.13 7 / 23A 24A \ 162.62/41.13 \ 23A 24A / 162.62/41.13 [7, 3] |-> [7, 2, 3, 2, 3] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 24A 26A \ / 23A 25A \ True True 162.62/41.13 \ 24A 26A / \ 23A 25A / 162.62/41.13 [7, 3] |-> [7, 2, 3] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 24A 26A \ / 23A 25A \ True True 162.62/41.13 \ 24A 26A / \ 23A 25A / 162.62/41.13 [0, 1] ->= [1, 0, 0, 2, 0] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 12A 12A \ / 12A 12A \ True False 162.62/41.13 \ 10A 10A / \ 10A 10A / 162.62/41.13 [2, 2, 2] ->= [2, 0] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 0A 0A \ / 0A 0A \ True False 162.62/41.13 \ -2A -2A / \ -2A -2A / 162.62/41.13 [3, 3] ->= [3, 2, 3, 2, 3] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 2A 4A \ / 0A 2A \ True True 162.62/41.13 \ 2A 4A / \ 0A 2A / 162.62/41.13 [1, 1] ->= [1, 3, 1] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 24A 24A \ / 24A 24A \ True False 162.62/41.13 \ 22A 22A / \ 22A 22A / 162.62/41.13 [2, 1] ->= [1, 0, 0] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 12A 12A \ / 12A 12A \ True False 162.62/41.13 \ 10A 10A / \ 10A 10A / 162.62/41.13 [0, 0] ->= [0, 2, 0, 2, 0] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 0A 0A \ / 0A 0A \ True False 162.62/41.13 \ -2A 0A / \ -2A -2A / 162.62/41.13 [0, 0, 0] ->= [2, 2, 0] 162.62/41.13 lhs rhs ge gt 162.62/41.13 / 0A 0A \ / 0A 0A \ True False 162.62/41.13 \ -2A 0A / \ -2A -2A / 162.62/41.13 property Termination 162.62/41.13 has value True 162.62/41.13 for SRS ( [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0]) 162.62/41.13 reason 162.62/41.13 EDG has 0 SCCs 162.62/41.13 162.62/41.13 property Termination 162.62/41.13 has value True 162.66/41.13 for SRS ( [6, 2, 2] |-> [6, 0], [6, 2, 2] |-> [4], [4, 0, 0] |-> [6, 0], [4, 0, 0] |-> [6, 2, 0], [4, 0] |-> [6, 0], [4, 0] |-> [4, 2, 0], [4, 0] |-> [6, 0, 2, 0], [4, 0] |-> [4, 2, 0, 2, 0], [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0]) 162.66/41.13 reason 162.66/41.13 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 162.66/41.13 interpretation 162.66/41.13 0 / 0A 0A \ 162.66/41.13 \ 0A 0A / 162.66/41.13 1 / 10A 10A \ 162.66/41.13 \ 8A 8A / 162.66/41.13 2 / 0A 0A \ 162.66/41.13 \ -2A -2A / 162.66/41.13 3 / 0A 2A \ 162.66/41.13 \ 0A 2A / 162.66/41.13 4 / 29A 30A \ 162.66/41.13 \ 29A 30A / 162.66/41.13 6 / 30A 30A \ 162.66/41.13 \ 30A 30A / 162.66/41.13 [6, 2, 2] |-> [6, 0] 162.66/41.13 lhs rhs ge gt 162.66/41.13 / 30A 30A \ / 30A 30A \ True False 162.66/41.13 \ 30A 30A / \ 30A 30A / 162.66/41.13 [6, 2, 2] |-> [4] 162.66/41.13 lhs rhs ge gt 162.66/41.13 / 30A 30A \ / 29A 30A \ True False 162.66/41.13 \ 30A 30A / \ 29A 30A / 162.66/41.13 [4, 0, 0] |-> [6, 0] 162.66/41.13 lhs rhs ge gt 162.66/41.13 / 30A 30A \ / 30A 30A \ True False 162.66/41.13 \ 30A 30A / \ 30A 30A / 162.66/41.13 [4, 0, 0] |-> [6, 2, 0] 162.66/41.13 lhs rhs ge gt 162.66/41.13 / 30A 30A \ / 30A 30A \ True False 162.66/41.13 \ 30A 30A / \ 30A 30A / 162.66/41.13 [4, 0] |-> [6, 0] 162.66/41.13 lhs rhs ge gt 162.66/41.13 / 30A 30A \ / 30A 30A \ True False 162.66/41.13 \ 30A 30A / \ 30A 30A / 162.66/41.13 [4, 0] |-> [4, 2, 0] 162.66/41.13 lhs rhs ge gt 162.66/41.13 / 30A 30A \ / 29A 29A \ True True 162.66/41.13 \ 30A 30A / \ 29A 29A / 162.66/41.13 [4, 0] |-> [6, 0, 2, 0] 162.66/41.13 lhs rhs ge gt 162.66/41.13 / 30A 30A \ / 30A 30A \ True False 162.66/41.13 \ 30A 30A / \ 30A 30A / 162.66/41.13 [4, 0] |-> [4, 2, 0, 2, 0] 162.66/41.13 lhs rhs ge gt 162.66/41.13 / 30A 30A \ / 29A 29A \ True True 162.66/41.13 \ 30A 30A / \ 29A 29A / 162.66/41.13 [0, 1] ->= [1, 0, 0, 2, 0] 162.66/41.13 lhs rhs ge gt 162.66/41.13 / 10A 10A \ / 10A 10A \ True False 162.66/41.13 \ 10A 10A / \ 8A 8A / 162.66/41.13 [2, 2, 2] ->= [2, 0] 162.66/41.13 lhs rhs ge gt 162.66/41.13 / 0A 0A \ / 0A 0A \ True False 162.66/41.13 \ -2A -2A / \ -2A -2A / 162.66/41.13 [3, 3] ->= [3, 2, 3, 2, 3] 162.66/41.13 lhs rhs ge gt 162.66/41.13 / 2A 4A \ / 0A 2A \ True True 162.66/41.13 \ 2A 4A / \ 0A 2A / 162.66/41.13 [1, 1] ->= [1, 3, 1] 162.66/41.13 lhs rhs ge gt 162.66/41.13 / 20A 20A \ / 20A 20A \ True False 162.66/41.13 \ 18A 18A / \ 18A 18A / 162.66/41.14 [2, 1] ->= [1, 0, 0] 162.66/41.14 lhs rhs ge gt 162.66/41.14 / 10A 10A \ / 10A 10A \ True False 162.66/41.14 \ 8A 8A / \ 8A 8A / 162.66/41.14 [0, 0] ->= [0, 2, 0, 2, 0] 162.66/41.14 lhs rhs ge gt 162.66/41.14 / 0A 0A \ / 0A 0A \ True False 162.66/41.14 \ 0A 0A / \ 0A 0A / 162.66/41.14 [0, 0, 0] ->= [2, 2, 0] 162.66/41.14 lhs rhs ge gt 162.66/41.14 / 0A 0A \ / 0A 0A \ True False 162.66/41.14 \ 0A 0A / \ -2A -2A / 162.66/41.14 property Termination 162.66/41.14 has value True 162.66/41.14 for SRS ( [6, 2, 2] |-> [6, 0], [6, 2, 2] |-> [4], [4, 0, 0] |-> [6, 0], [4, 0, 0] |-> [6, 2, 0], [4, 0] |-> [6, 0], [4, 0] |-> [6, 0, 2, 0], [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0]) 162.66/41.14 reason 162.66/41.14 EDG has 1 SCCs 162.66/41.14 property Termination 162.66/41.14 has value True 162.66/41.14 for SRS ( [6, 2, 2] |-> [6, 0], [6, 2, 2] |-> [4], [4, 0] |-> [6, 0, 2, 0], [4, 0] |-> [6, 0], [4, 0, 0] |-> [6, 2, 0], [4, 0, 0] |-> [6, 0], [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0]) 162.66/41.14 reason 162.66/41.14 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 162.66/41.14 interpretation 162.66/41.14 0 Wk / - - 1A 0A \ 162.66/41.14 | - - 0A - | 162.66/41.14 | 1A 1A 3A 1A | 162.66/41.14 \ - - - 0A / 162.66/41.14 1 Wk / - - - 0A \ 162.66/41.14 | - - - - | 162.66/41.14 | - - - - | 162.66/41.14 \ - - - 0A / 162.66/41.14 2 Wk / 0A 1A 0A 2A \ 162.66/41.14 | 2A 2A - - | 162.66/41.14 | - - - 0A | 162.66/41.14 \ - - - 0A / 162.66/41.14 3 Wk / - - - 5A \ 162.66/41.14 | - - - 6A | 162.66/41.14 | - - - 4A | 162.66/41.14 \ - - - 0A / 162.66/41.14 4 Wk / - 3A 1A 5A \ 162.66/41.14 | 3A 4A 1A 5A | 162.66/41.14 | 3A 4A 1A 5A | 162.66/41.14 \ - - - 0A / 162.66/41.14 6 Wk / 2A 2A 0A 3A \ 162.66/41.14 | 2A 1A - - | 162.66/41.14 | 3A 3A 0A 2A | 162.66/41.14 \ - - - 0A / 162.66/41.14 [6, 2, 2] |-> [6, 0] 162.66/41.14 lhs rhs ge gt 162.66/41.14 Wk / 6A 6A 4A 6A \ Wk / 1A 1A 3A 3A \ True False 162.66/41.14 | 5A 5A 3A 5A | | - - 3A 2A | 162.66/41.14 | 7A 7A 5A 7A | | 1A 1A 4A 3A | 162.66/41.14 \ - - - 0A / \ - - - 0A / 162.66/41.14 [6, 2, 2] |-> [4] 162.66/41.15 lhs rhs ge gt 162.66/41.15 Wk / 6A 6A 4A 6A \ Wk / - 3A 1A 5A \ True False 162.66/41.15 | 5A 5A 3A 5A | | 3A 4A 1A 5A | 162.66/41.15 | 7A 7A 5A 7A | | 3A 4A 1A 5A | 162.66/41.15 \ - - - 0A / \ - - - 0A / 162.66/41.15 [4, 0] |-> [6, 0, 2, 0] 162.66/41.15 lhs rhs ge gt 162.66/41.15 Wk / 2A 2A 4A 5A \ Wk / 2A 2A 4A 3A \ True False 162.66/41.15 | 2A 2A 4A 5A | | - - - 3A | 162.66/41.15 | 2A 2A 4A 5A | | 2A 2A 4A 4A | 162.66/41.15 \ - - - 0A / \ - - - 0A / 162.66/41.15 [4, 0] |-> [6, 0] 162.66/41.15 lhs rhs ge gt 162.66/41.15 Wk / 2A 2A 4A 5A \ Wk / 1A 1A 3A 3A \ True False 162.66/41.15 | 2A 2A 4A 5A | | - - 3A 2A | 162.66/41.15 | 2A 2A 4A 5A | | 1A 1A 4A 3A | 162.66/41.15 \ - - - 0A / \ - - - 0A / 162.66/41.15 [4, 0, 0] |-> [6, 2, 0] 162.66/41.16 lhs rhs ge gt 162.66/41.16 Wk / 5A 5A 7A 5A \ Wk / 3A 3A 5A 4A \ True False 162.66/41.16 | 5A 5A 7A 5A | | 3A 3A 5A 4A | 162.66/41.16 | 5A 5A 7A 5A | | 4A 4A 6A 5A | 162.66/41.16 \ - - - 0A / \ - - - 0A / 162.66/41.16 [4, 0, 0] |-> [6, 0] 162.66/41.16 lhs rhs ge gt 162.66/41.16 Wk / 5A 5A 7A 5A \ Wk / 1A 1A 3A 3A \ True True 162.66/41.16 | 5A 5A 7A 5A | | - - 3A 2A | 162.66/41.16 | 5A 5A 7A 5A | | 1A 1A 4A 3A | 162.66/41.16 \ - - - 0A / \ - - - 0A / 162.66/41.16 [0, 1] ->= [1, 0, 0, 2, 0] 162.66/41.16 lhs rhs ge gt 162.66/41.16 Wk / - - - 0A \ Wk / - - - 0A \ True False 162.66/41.18 | - - - - | | - - - - | 162.66/41.18 | - - - 1A | | - - - - | 162.66/41.18 \ - - - 0A / \ - - - 0A / 162.66/41.18 [2, 2, 2] ->= [2, 0] 162.66/41.18 lhs rhs ge gt 162.66/41.18 Wk / 5A 5A 3A 5A \ Wk / 1A 1A 3A 2A \ True False 162.66/41.18 | 6A 6A 4A 6A | | - - 3A 2A | 162.66/41.18 | - - - 0A | | - - - 0A | 162.66/41.18 \ - - - 0A / \ - - - 0A / 162.66/41.18 [3, 3] ->= [3, 2, 3, 2, 3] 162.66/41.18 lhs rhs ge gt 162.66/41.18 Wk / - - - 5A \ Wk / - - - 5A \ True False 162.66/41.18 | - - - 6A | | - - - 6A | 162.66/41.18 | - - - 4A | | - - - 4A | 162.66/41.18 \ - - - 0A / \ - - - 0A / 162.66/41.18 [1, 1] ->= [1, 3, 1] 162.66/41.19 lhs rhs ge gt 162.66/41.19 Wk / - - - 0A \ Wk / - - - 0A \ True False 162.66/41.19 | - - - - | | - - - - | 162.66/41.19 | - - - - | | - - - - | 162.66/41.19 \ - - - 0A / \ - - - 0A / 162.66/41.19 [2, 1] ->= [1, 0, 0] 162.66/41.19 lhs rhs ge gt 162.66/41.19 Wk / - - - 2A \ Wk / - - - 0A \ True True 162.66/41.19 | - - - 2A | | - - - - | 162.66/41.19 | - - - 0A | | - - - - | 162.66/41.19 \ - - - 0A / \ - - - 0A / 162.66/41.19 [0, 0] ->= [0, 2, 0, 2, 0] 162.66/41.19 lhs rhs ge gt 162.66/41.19 Wk / 2A 2A 4A 2A \ Wk / - - - 1A \ True False 162.66/41.19 | 1A 1A 3A 1A | | - - - 0A | 162.66/41.19 | 4A 4A 6A 4A | | 3A 3A 5A 4A | 162.66/41.19 \ - - - 0A / \ - - - 0A / 162.66/41.19 [0, 0, 0] ->= [2, 2, 0] 162.66/41.20 lhs rhs ge gt 162.66/41.20 Wk / 5A 5A 7A 5A \ Wk / 1A 1A 4A 3A \ True False 162.66/41.20 | 4A 4A 6A 4A | | 3A 3A 5A 4A | 162.66/41.20 | 7A 7A 9A 7A | | - - - 0A | 162.66/41.20 \ - - - 0A / \ - - - 0A / 162.66/41.20 property Termination 162.66/41.20 has value True 162.66/41.21 for SRS ( [6, 2, 2] |-> [6, 0], [6, 2, 2] |-> [4], [4, 0] |-> [6, 0, 2, 0], [4, 0] |-> [6, 0], [4, 0, 0] |-> [6, 2, 0], [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0]) 162.66/41.21 reason 162.66/41.21 EDG has 1 SCCs 162.66/41.21 property Termination 162.66/41.21 has value True 162.66/41.21 for SRS ( [6, 2, 2] |-> [6, 0], [6, 2, 2] |-> [4], [4, 0, 0] |-> [6, 2, 0], [4, 0] |-> [6, 0], [4, 0] |-> [6, 0, 2, 0], [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0]) 162.66/41.21 reason 162.66/41.21 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 162.66/41.21 interpretation 162.66/41.21 0 Wk / 0 0 2 1 \ 162.66/41.21 | 0 0 1 0 | 162.66/41.21 | 1 0 1 1 | 162.66/41.21 \ 0 0 0 1 / 162.96/41.21 1 Wk / 0 0 0 0 \ 162.96/41.21 | 0 0 0 0 | 162.96/41.21 | 0 0 0 0 | 162.96/41.21 \ 0 0 0 1 / 162.96/41.22 2 Wk / 0 0 1 0 \ 162.96/41.22 | 1 0 2 2 | 162.96/41.22 | 0 1 0 0 | 162.96/41.22 \ 0 0 0 1 / 162.96/41.22 3 Wk / 0 0 0 4 \ 162.96/41.22 | 0 0 0 4 | 162.96/41.22 | 0 0 0 4 | 162.96/41.22 \ 0 0 0 1 / 162.96/41.22 4 Wk / 0 1 1 1 \ 162.96/41.22 | 0 0 0 4 | 162.96/41.22 | 0 0 0 4 | 162.96/41.22 \ 0 0 0 1 / 162.96/41.22 6 Wk / 0 1 0 0 \ 162.96/41.22 | 0 0 0 4 | 162.96/41.22 | 0 0 0 4 | 162.96/41.22 \ 0 0 0 1 / 162.96/41.22 [6, 2, 2] |-> [6, 0] 162.96/41.22 lhs rhs ge gt 162.96/41.22 Wk / 0 2 1 2 \ Wk / 0 0 1 0 \ True True 162.96/41.22 | 0 0 0 4 | | 0 0 0 4 | 162.96/41.22 | 0 0 0 4 | | 0 0 0 4 | 162.96/41.22 \ 0 0 0 1 / \ 0 0 0 1 / 162.96/41.22 [6, 2, 2] |-> [4] 162.96/41.23 lhs rhs ge gt 162.96/41.23 Wk / 0 2 1 2 \ Wk / 0 1 1 1 \ True True 162.96/41.23 | 0 0 0 4 | | 0 0 0 4 | 162.96/41.23 | 0 0 0 4 | | 0 0 0 4 | 162.96/41.23 \ 0 0 0 1 / \ 0 0 0 1 / 162.96/41.23 [4, 0, 0] |-> [6, 2, 0] 162.96/41.23 lhs rhs ge gt 162.96/41.23 Wk / 2 0 4 5 \ Wk / 2 0 4 5 \ True False 162.96/41.23 | 0 0 0 4 | | 0 0 0 4 | 162.96/41.23 | 0 0 0 4 | | 0 0 0 4 | 162.96/41.23 \ 0 0 0 1 / \ 0 0 0 1 / 162.96/41.23 [4, 0] |-> [6, 0] 162.96/41.23 lhs rhs ge gt 162.96/41.23 Wk / 1 0 2 2 \ Wk / 0 0 1 0 \ True True 162.96/41.23 | 0 0 0 4 | | 0 0 0 4 | 162.96/41.23 | 0 0 0 4 | | 0 0 0 4 | 162.96/41.23 \ 0 0 0 1 / \ 0 0 0 1 / 162.96/41.23 [4, 0] |-> [6, 0, 2, 0] 162.96/41.24 lhs rhs ge gt 162.96/41.24 Wk / 1 0 2 2 \ Wk / 0 0 1 0 \ True True 162.96/41.24 | 0 0 0 4 | | 0 0 0 4 | 162.96/41.24 | 0 0 0 4 | | 0 0 0 4 | 162.96/41.24 \ 0 0 0 1 / \ 0 0 0 1 / 162.96/41.24 [0, 1] ->= [1, 0, 0, 2, 0] 162.96/41.24 lhs rhs ge gt 162.96/41.24 Wk / 0 0 0 1 \ Wk / 0 0 0 0 \ True True 162.96/41.24 | 0 0 0 0 | | 0 0 0 0 | 162.96/41.24 | 0 0 0 1 | | 0 0 0 0 | 162.96/41.24 \ 0 0 0 1 / \ 0 0 0 1 / 162.96/41.24 [2, 2, 2] ->= [2, 0] 162.96/41.24 lhs rhs ge gt 162.96/41.24 Wk / 1 0 2 2 \ Wk / 1 0 1 1 \ True True 162.96/41.24 | 2 1 4 6 | | 2 0 4 5 | 162.96/41.24 | 0 2 1 2 | | 0 0 1 0 | 162.96/41.24 \ 0 0 0 1 / \ 0 0 0 1 / 162.96/41.24 [3, 3] ->= [3, 2, 3, 2, 3] 162.96/41.24 lhs rhs ge gt 162.96/41.24 Wk / 0 0 0 4 \ Wk / 0 0 0 4 \ True False 162.96/41.24 | 0 0 0 4 | | 0 0 0 4 | 162.96/41.24 | 0 0 0 4 | | 0 0 0 4 | 162.96/41.24 \ 0 0 0 1 / \ 0 0 0 1 / 162.96/41.24 [1, 1] ->= [1, 3, 1] 162.96/41.25 lhs rhs ge gt 162.96/41.25 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 162.96/41.25 | 0 0 0 0 | | 0 0 0 0 | 162.96/41.25 | 0 0 0 0 | | 0 0 0 0 | 162.96/41.25 \ 0 0 0 1 / \ 0 0 0 1 / 162.96/41.25 [2, 1] ->= [1, 0, 0] 162.96/41.25 lhs rhs ge gt 162.96/41.25 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 162.96/41.25 | 0 0 0 2 | | 0 0 0 0 | 162.96/41.25 | 0 0 0 0 | | 0 0 0 0 | 162.96/41.25 \ 0 0 0 1 / \ 0 0 0 1 / 162.96/41.25 [0, 0] ->= [0, 2, 0, 2, 0] 162.96/41.25 lhs rhs ge gt 162.96/41.25 Wk / 2 0 2 3 \ Wk / 0 0 2 1 \ True True 162.96/41.25 | 1 0 1 1 | | 0 0 1 0 | 162.96/41.25 | 1 0 3 3 | | 1 0 3 3 | 162.96/41.25 \ 0 0 0 1 / \ 0 0 0 1 / 162.96/41.25 [0, 0, 0] ->= [2, 2, 0] 162.96/41.25 lhs rhs ge gt 162.96/41.25 Wk / 2 0 6 7 \ Wk / 0 0 1 0 \ True True 162.96/41.25 | 1 0 3 3 | | 1 0 3 3 | 162.96/41.25 | 3 0 5 7 | | 2 0 4 5 | 162.96/41.25 \ 0 0 0 1 / \ 0 0 0 1 / 162.96/41.26 property Termination 162.96/41.26 has value True 162.96/41.26 for SRS ( [4, 0, 0] |-> [6, 2, 0], [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0]) 162.96/41.26 reason 162.96/41.26 weights 162.96/41.26 Map [(4, 1/1)] 162.96/41.26 162.96/41.26 property Termination 162.96/41.26 has value True 162.96/41.26 for SRS ( [0, 1] ->= [1, 0, 0, 2, 0], [2, 2, 2] ->= [2, 0], [3, 3] ->= [3, 2, 3, 2, 3], [1, 1] ->= [1, 3, 1], [2, 1] ->= [1, 0, 0], [0, 0] ->= [0, 2, 0, 2, 0], [0, 0, 0] ->= [2, 2, 0]) 162.96/41.26 reason 162.96/41.26 EDG has 0 SCCs 162.96/41.26 162.96/41.26 ************************************************** 162.96/41.26 summary 162.96/41.26 ************************************************** 162.96/41.26 SRS with 7 rules on 4 letters Remap { tracing = False} 162.96/41.26 SRS with 7 rules on 4 letters reverse each lhs and rhs 162.96/41.26 SRS with 7 rules on 4 letters DP transform 162.96/41.26 SRS with 29 rules on 8 letters Remap { tracing = False} 162.96/41.26 SRS with 29 rules on 8 letters weights 162.96/41.26 SRS with 18 rules on 8 letters EDG 162.96/41.26 3 sub-proofs 162.96/41.26 1 SRS with 8 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 162.96/41.26 SRS with 7 rules on 4 letters EDG 162.96/41.26 162.96/41.26 2 SRS with 9 rules on 5 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 162.96/41.26 SRS with 7 rules on 4 letters EDG 162.96/41.26 162.96/41.27 3 SRS with 15 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 162.96/41.27 SRS with 13 rules on 6 letters EDG 162.96/41.27 SRS with 13 rules on 6 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 162.96/41.27 SRS with 12 rules on 6 letters EDG 162.96/41.27 SRS with 12 rules on 6 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 162.96/41.27 SRS with 8 rules on 6 letters weights 162.96/41.27 SRS with 7 rules on 4 letters EDG 162.96/41.27 162.96/41.27 ************************************************** 163.21/41.28 (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{\Natural}{4}(8, 6)\Weight(7, 4)\EDG[]] 163.21/41.28 ************************************************** 163.21/41.35 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]} 163.21/41.35 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 163.98/41.61 EOF