417.62/105.51 YES 417.62/105.51 property Termination 417.62/105.51 has value True 419.10/105.91 for SRS ( [r1, a] -> [a, a, a, r1], [r2, a] -> [a, a, a, r2], [a, l1] -> [l1, a, a, a], [a, a, l2] -> [l2, a, a], [r1, b] -> [l1, b], [r2, b] -> [l2, a, b], [b, l1] -> [b, r2], [b, l2] -> [b, r1], [a, a] -> []) 419.10/105.91 reason 419.29/105.92 remap for 9 rules 419.29/105.92 property Termination 419.29/105.92 has value True 419.29/105.93 for SRS ( [0, 1] -> [1, 1, 1, 0], [2, 1] -> [1, 1, 1, 2], [1, 3] -> [3, 1, 1, 1], [1, 1, 4] -> [4, 1, 1], [0, 5] -> [3, 5], [2, 5] -> [4, 1, 5], [5, 3] -> [5, 2], [5, 4] -> [5, 0], [1, 1] -> []) 419.29/105.93 reason 419.29/105.93 reverse each lhs and rhs 419.29/105.93 property Termination 419.29/105.93 has value True 419.29/105.93 for SRS ( [1, 0] -> [0, 1, 1, 1], [1, 2] -> [2, 1, 1, 1], [3, 1] -> [1, 1, 1, 3], [4, 1, 1] -> [1, 1, 4], [5, 0] -> [5, 3], [5, 2] -> [5, 1, 4], [3, 5] -> [2, 5], [4, 5] -> [0, 5], [1, 1] -> []) 419.29/105.93 reason 419.29/105.93 DP transform 419.29/105.93 property Termination 419.29/105.93 has value True 419.29/105.93 for SRS ( [1, 0] ->= [0, 1, 1, 1], [1, 2] ->= [2, 1, 1, 1], [3, 1] ->= [1, 1, 1, 3], [4, 1, 1] ->= [1, 1, 4], [5, 0] ->= [5, 3], [5, 2] ->= [5, 1, 4], [3, 5] ->= [2, 5], [4, 5] ->= [0, 5], [1, 1] ->= [], [1#, 0] |-> [1#, 1, 1], [1#, 0] |-> [1#, 1], [1#, 0] |-> [1#], [1#, 2] |-> [1#, 1, 1], [1#, 2] |-> [1#, 1], [1#, 2] |-> [1#], [3#, 1] |-> [1#, 1, 1, 3], [3#, 1] |-> [1#, 1, 3], [3#, 1] |-> [1#, 3], [3#, 1] |-> [3#], [4#, 1, 1] |-> [1#, 1, 4], [4#, 1, 1] |-> [1#, 4], [4#, 1, 1] |-> [4#], [5#, 0] |-> [5#, 3], [5#, 0] |-> [3#], [5#, 2] |-> [5#, 1, 4], [5#, 2] |-> [1#, 4], [5#, 2] |-> [4#]) 419.29/105.93 reason 419.29/105.93 remap for 27 rules 419.29/105.93 property Termination 419.29/105.93 has value True 419.29/105.94 for SRS ( [0, 1] ->= [1, 0, 0, 0], [0, 2] ->= [2, 0, 0, 0], [3, 0] ->= [0, 0, 0, 3], [4, 0, 0] ->= [0, 0, 4], [5, 1] ->= [5, 3], [5, 2] ->= [5, 0, 4], [3, 5] ->= [2, 5], [4, 5] ->= [1, 5], [0, 0] ->= [], [6, 1] |-> [6, 0, 0], [6, 1] |-> [6, 0], [6, 1] |-> [6], [6, 2] |-> [6, 0, 0], [6, 2] |-> [6, 0], [6, 2] |-> [6], [7, 0] |-> [6, 0, 0, 3], [7, 0] |-> [6, 0, 3], [7, 0] |-> [6, 3], [7, 0] |-> [7], [8, 0, 0] |-> [6, 0, 4], [8, 0, 0] |-> [6, 4], [8, 0, 0] |-> [8], [9, 1] |-> [9, 3], [9, 1] |-> [7], [9, 2] |-> [9, 0, 4], [9, 2] |-> [6, 4], [9, 2] |-> [8]) 419.29/105.94 reason 419.29/105.94 weights 419.29/105.94 Map [(1, 1/6), (2, 1/6), (3, 1/6), (4, 1/6), (7, 7/4), (8, 7/6), (9, 31/12)] 419.29/105.94 419.29/105.94 property Termination 419.29/105.94 has value True 419.29/105.94 for SRS ( [0, 1] ->= [1, 0, 0, 0], [0, 2] ->= [2, 0, 0, 0], [3, 0] ->= [0, 0, 0, 3], [4, 0, 0] ->= [0, 0, 4], [5, 1] ->= [5, 3], [5, 2] ->= [5, 0, 4], [3, 5] ->= [2, 5], [4, 5] ->= [1, 5], [0, 0] ->= [], [7, 0] |-> [7], [8, 0, 0] |-> [8], [9, 1] |-> [9, 3], [9, 2] |-> [9, 0, 4]) 419.29/105.94 reason 419.29/105.94 EDG has 3 SCCs 419.29/105.94 property Termination 419.29/105.94 has value True 419.29/105.94 for SRS ( [7, 0] |-> [7], [0, 1] ->= [1, 0, 0, 0], [0, 2] ->= [2, 0, 0, 0], [3, 0] ->= [0, 0, 0, 3], [4, 0, 0] ->= [0, 0, 4], [5, 1] ->= [5, 3], [5, 2] ->= [5, 0, 4], [3, 5] ->= [2, 5], [4, 5] ->= [1, 5], [0, 0] ->= []) 419.29/105.94 reason 419.29/105.94 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 419.29/105.94 interpretation 419.29/105.94 0 Wk / 1 1 0 0 \ 419.29/105.94 | 0 1 0 0 | 419.29/105.94 | 1 1 1 1 | 419.29/105.94 \ 0 0 0 1 / 419.29/105.95 1 Wk / 0 0 0 0 \ 419.29/105.95 | 0 0 0 0 | 419.29/105.95 | 0 0 0 0 | 419.29/105.95 \ 0 0 0 1 / 419.29/105.95 2 Wk / 0 0 0 0 \ 419.29/105.95 | 0 0 0 0 | 419.29/105.95 | 0 0 0 0 | 419.29/105.95 \ 0 0 0 1 / 419.29/105.95 3 Wk / 0 2 0 0 \ 419.29/105.95 | 0 0 0 0 | 419.29/105.95 | 1 0 5 1 | 419.29/105.95 \ 0 0 0 1 / 419.29/105.95 4 Wk / 1 0 0 1 \ 419.29/105.95 | 0 0 0 0 | 419.29/105.95 | 0 0 2 0 | 419.29/105.95 \ 0 0 0 1 / 419.29/105.95 5 Wk / 0 2 0 2 \ 419.29/105.95 | 0 3 0 1 | 419.29/105.95 | 0 0 0 0 | 419.29/105.95 \ 0 0 0 1 / 419.29/105.95 7 Wk / 0 0 1 5 \ 419.29/105.95 | 0 0 0 4 | 419.29/105.95 | 0 0 0 4 | 419.29/105.95 \ 0 0 0 1 / 419.29/105.95 [7, 0] |-> [7] 419.43/105.96 lhs rhs ge gt 419.43/105.96 Wk / 1 1 1 6 \ Wk / 0 0 1 5 \ True True 419.43/105.96 | 0 0 0 4 | | 0 0 0 4 | 419.43/105.96 | 0 0 0 4 | | 0 0 0 4 | 419.43/105.96 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/105.96 [0, 1] ->= [1, 0, 0, 0] 419.43/105.96 lhs rhs ge gt 419.43/105.96 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 419.43/105.96 | 0 0 0 0 | | 0 0 0 0 | 419.43/105.96 | 0 0 0 1 | | 0 0 0 0 | 419.43/105.96 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/105.96 [0, 2] ->= [2, 0, 0, 0] 419.43/105.96 lhs rhs ge gt 419.43/105.96 Wk / 0 0 0 0 \ Wk / 0 0 0 0 \ True False 419.43/105.96 | 0 0 0 0 | | 0 0 0 0 | 419.43/105.96 | 0 0 0 1 | | 0 0 0 0 | 419.43/105.96 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/105.96 [3, 0] ->= [0, 0, 0, 3] 419.43/105.97 lhs rhs ge gt 419.43/105.97 Wk / 0 2 0 0 \ Wk / 0 2 0 0 \ True False 419.43/105.97 | 0 0 0 0 | | 0 0 0 0 | 419.43/105.97 | 6 6 5 6 | | 1 6 5 4 | 419.43/105.97 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/105.97 [4, 0, 0] ->= [0, 0, 4] 419.43/105.97 lhs rhs ge gt 419.43/105.97 Wk / 1 2 0 1 \ Wk / 1 0 0 1 \ True False 419.43/105.97 | 0 0 0 0 | | 0 0 0 0 | 419.43/105.97 | 4 6 2 4 | | 2 0 2 4 | 419.43/105.97 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/105.97 [5, 1] ->= [5, 3] 419.43/105.97 lhs rhs ge gt 419.43/105.97 Wk / 0 0 0 2 \ Wk / 0 0 0 2 \ True False 419.43/105.97 | 0 0 0 1 | | 0 0 0 1 | 419.43/105.97 | 0 0 0 0 | | 0 0 0 0 | 419.43/105.97 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/105.97 [5, 2] ->= [5, 0, 4] 419.43/105.98 lhs rhs ge gt 419.43/105.98 Wk / 0 0 0 2 \ Wk / 0 0 0 2 \ True False 419.43/105.98 | 0 0 0 1 | | 0 0 0 1 | 419.43/105.98 | 0 0 0 0 | | 0 0 0 0 | 419.43/105.98 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/105.98 [3, 5] ->= [2, 5] 419.43/105.98 lhs rhs ge gt 419.43/105.98 Wk / 0 6 0 2 \ Wk / 0 0 0 0 \ True True 419.43/105.98 | 0 0 0 0 | | 0 0 0 0 | 419.43/105.98 | 0 2 0 3 | | 0 0 0 0 | 419.43/105.98 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/105.98 [4, 5] ->= [1, 5] 419.43/105.98 lhs rhs ge gt 419.43/105.98 Wk / 0 2 0 3 \ Wk / 0 0 0 0 \ True True 419.43/105.98 | 0 0 0 0 | | 0 0 0 0 | 419.43/105.98 | 0 0 0 0 | | 0 0 0 0 | 419.43/105.98 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/105.98 [0, 0] ->= [] 419.43/105.99 lhs rhs ge gt 419.43/105.99 Wk / 1 2 0 0 \ Wk / 1 0 0 0 \ True False 419.43/105.99 | 0 1 0 0 | | 0 1 0 0 | 419.43/105.99 | 2 3 1 2 | | 0 0 1 0 | 419.43/105.99 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/105.99 property Termination 419.43/105.99 has value True 419.43/105.99 for SRS ( [0, 1] ->= [1, 0, 0, 0], [0, 2] ->= [2, 0, 0, 0], [3, 0] ->= [0, 0, 0, 3], [4, 0, 0] ->= [0, 0, 4], [5, 1] ->= [5, 3], [5, 2] ->= [5, 0, 4], [3, 5] ->= [2, 5], [4, 5] ->= [1, 5], [0, 0] ->= []) 419.43/105.99 reason 419.43/105.99 EDG has 0 SCCs 419.43/105.99 419.43/105.99 property Termination 419.43/105.99 has value True 419.43/105.99 for SRS ( [8, 0, 0] |-> [8], [0, 1] ->= [1, 0, 0, 0], [0, 2] ->= [2, 0, 0, 0], [3, 0] ->= [0, 0, 0, 3], [4, 0, 0] ->= [0, 0, 4], [5, 1] ->= [5, 3], [5, 2] ->= [5, 0, 4], [3, 5] ->= [2, 5], [4, 5] ->= [1, 5], [0, 0] ->= []) 419.43/105.99 reason 419.43/105.99 Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 419.43/105.99 interpretation 419.43/105.99 0 Wk / 0 1 0 0 \ 419.43/105.99 | 1 0 0 0 | 419.43/105.99 | 0 2 1 1 | 419.43/105.99 \ 0 0 0 1 / 419.43/105.99 1 Wk / 0 1 0 0 \ 419.43/105.99 | 1 0 0 0 | 419.43/105.99 | 0 2 0 3 | 419.43/105.99 \ 0 0 0 1 / 419.43/105.99 2 Wk / 1 0 0 0 \ 419.43/105.99 | 0 1 0 0 | 419.43/105.99 | 0 0 0 0 | 419.43/105.99 \ 0 0 0 1 / 419.43/106.00 3 Wk / 1 0 0 0 \ 419.43/106.00 | 0 1 0 0 | 419.43/106.00 | 0 2 3 0 | 419.43/106.00 \ 0 0 0 1 / 419.43/106.00 4 Wk / 0 1 0 0 \ 419.43/106.00 | 1 0 0 0 | 419.43/106.00 | 1 0 1 0 | 419.43/106.00 \ 0 0 0 1 / 419.43/106.00 5 Wk / 6 6 0 4 \ 419.43/106.00 | 2 2 0 0 | 419.43/106.00 | 0 0 0 0 | 419.43/106.00 \ 0 0 0 1 / 419.43/106.00 8 Wk / 0 0 1 0 \ 419.43/106.00 | 4 4 0 0 | 419.43/106.00 | 0 0 0 0 | 419.43/106.00 \ 0 0 0 1 / 419.43/106.00 [8, 0, 0] |-> [8] 419.43/106.00 lhs rhs ge gt 419.43/106.00 Wk / 2 2 1 2 \ Wk / 0 0 1 0 \ True True 419.43/106.00 | 4 4 0 0 | | 4 4 0 0 | 419.43/106.00 | 0 0 0 0 | | 0 0 0 0 | 419.43/106.00 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/106.00 [0, 1] ->= [1, 0, 0, 0] 419.43/106.01 lhs rhs ge gt 419.43/106.01 Wk / 1 0 0 0 \ Wk / 1 0 0 0 \ True False 419.43/106.01 | 0 1 0 0 | | 0 1 0 0 | 419.43/106.01 | 2 2 0 4 | | 2 0 0 3 | 419.43/106.01 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/106.01 [0, 2] ->= [2, 0, 0, 0] 419.43/106.01 lhs rhs ge gt 419.43/106.01 Wk / 0 1 0 0 \ Wk / 0 1 0 0 \ True False 419.43/106.01 | 1 0 0 0 | | 1 0 0 0 | 419.43/106.01 | 0 2 0 1 | | 0 0 0 0 | 419.43/106.01 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/106.01 [3, 0] ->= [0, 0, 0, 3] 419.43/106.01 lhs rhs ge gt 419.43/106.01 Wk / 0 1 0 0 \ Wk / 0 1 0 0 \ True False 419.43/106.01 | 1 0 0 0 | | 1 0 0 0 | 419.43/106.01 | 2 6 3 3 | | 2 6 3 3 | 419.43/106.01 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/106.01 [4, 0, 0] ->= [0, 0, 4] 419.43/106.02 lhs rhs ge gt 419.43/106.02 Wk / 0 1 0 0 \ Wk / 0 1 0 0 \ True False 419.43/106.02 | 1 0 0 0 | | 1 0 0 0 | 419.43/106.02 | 3 2 1 2 | | 3 2 1 2 | 419.43/106.02 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/106.02 [5, 1] ->= [5, 3] 419.43/106.02 lhs rhs ge gt 419.43/106.02 Wk / 6 6 0 4 \ Wk / 6 6 0 4 \ True False 419.43/106.02 | 2 2 0 0 | | 2 2 0 0 | 419.43/106.02 | 0 0 0 0 | | 0 0 0 0 | 419.43/106.02 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/106.02 [5, 2] ->= [5, 0, 4] 419.43/106.02 lhs rhs ge gt 419.43/106.02 Wk / 6 6 0 4 \ Wk / 6 6 0 4 \ True False 419.43/106.02 | 2 2 0 0 | | 2 2 0 0 | 419.43/106.02 | 0 0 0 0 | | 0 0 0 0 | 419.43/106.02 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/106.02 [3, 5] ->= [2, 5] 419.43/106.03 lhs rhs ge gt 419.43/106.03 Wk / 6 6 0 4 \ Wk / 6 6 0 4 \ True False 419.43/106.03 | 2 2 0 0 | | 2 2 0 0 | 419.43/106.03 | 4 4 0 0 | | 0 0 0 0 | 419.43/106.03 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/106.03 [4, 5] ->= [1, 5] 419.43/106.03 lhs rhs ge gt 419.43/106.03 Wk / 2 2 0 0 \ Wk / 2 2 0 0 \ True False 419.43/106.03 | 6 6 0 4 | | 6 6 0 4 | 419.43/106.03 | 6 6 0 4 | | 4 4 0 3 | 419.43/106.03 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/106.03 [0, 0] ->= [] 419.43/106.03 lhs rhs ge gt 419.43/106.03 Wk / 1 0 0 0 \ Wk / 1 0 0 0 \ True False 419.43/106.03 | 0 1 0 0 | | 0 1 0 0 | 419.43/106.03 | 2 2 1 2 | | 0 0 1 0 | 419.43/106.03 \ 0 0 0 1 / \ 0 0 0 1 / 419.43/106.03 property Termination 419.43/106.03 has value True 419.43/106.03 for SRS ( [0, 1] ->= [1, 0, 0, 0], [0, 2] ->= [2, 0, 0, 0], [3, 0] ->= [0, 0, 0, 3], [4, 0, 0] ->= [0, 0, 4], [5, 1] ->= [5, 3], [5, 2] ->= [5, 0, 4], [3, 5] ->= [2, 5], [4, 5] ->= [1, 5], [0, 0] ->= []) 419.43/106.03 reason 419.43/106.03 EDG has 0 SCCs 419.43/106.03 419.43/106.03 property Termination 419.43/106.03 has value True 419.76/106.04 for SRS ( [9, 1] |-> [9, 3], [9, 2] |-> [9, 0, 4], [0, 1] ->= [1, 0, 0, 0], [0, 2] ->= [2, 0, 0, 0], [3, 0] ->= [0, 0, 0, 3], [4, 0, 0] ->= [0, 0, 4], [5, 1] ->= [5, 3], [5, 2] ->= [5, 0, 4], [3, 5] ->= [2, 5], [4, 5] ->= [1, 5], [0, 0] ->= []) 419.76/106.04 reason 419.76/106.04 Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 419.76/106.04 interpretation 419.76/106.04 0 Wk / - - 0A 0A \ 419.76/106.04 | 4A 0A 6A 6A | 419.76/106.04 | 0A - - 0A | 419.76/106.04 \ - - - 0A / 419.76/106.04 1 Wk / 1A - - 1A \ 419.76/106.04 | 0A - 0A 3A | 419.76/106.04 | - - 1A 1A | 419.76/106.04 \ - - - 0A / 419.76/106.04 2 Wk / 1A - 0A 3A \ 419.76/106.04 | - - - - | 419.76/106.04 | 0A - 1A 3A | 419.76/106.04 \ - - - 0A / 419.76/106.04 3 Wk / 1A - 0A 1A \ 419.76/106.04 | 0A 1A 7A 4A | 419.76/106.04 | 0A - 1A - | 419.76/106.04 \ - - - 0A / 419.76/106.04 4 Wk / 1A - 0A 0A \ 419.76/106.04 | - 1A - 5A | 419.76/106.04 | 0A - - - | 419.76/106.04 \ - - - 0A / 419.76/106.05 5 Wk / - - - 4A \ 419.76/106.05 | - - - 2A | 419.76/106.05 | - - - 2A | 419.76/106.05 \ - - - 0A / 419.76/106.05 9 Wk / 2A - 1A 4A \ 419.76/106.05 | - - - - | 419.76/106.05 | - - - - | 419.76/106.05 \ - - - 0A / 419.76/106.05 [9, 1] |-> [9, 3] 419.76/106.05 lhs rhs ge gt 419.76/106.05 Wk / 3A - 2A 4A \ Wk / 3A - 2A 4A \ True False 419.76/106.05 | - - - - | | - - - - | 419.76/106.05 | - - - - | | - - - - | 419.76/106.05 \ - - - 0A / \ - - - 0A / 419.76/106.05 [9, 2] |-> [9, 0, 4] 419.76/106.05 lhs rhs ge gt 419.76/106.05 Wk / 3A - 2A 5A \ Wk / 2A - 1A 4A \ True True 419.76/106.05 | - - - - | | - - - - | 419.76/106.05 | - - - - | | - - - - | 419.76/106.05 \ - - - 0A / \ - - - 0A / 419.76/106.05 [0, 1] ->= [1, 0, 0, 0] 419.76/106.06 lhs rhs ge gt 419.76/106.06 Wk / - - 1A 1A \ Wk / - - 1A 1A \ True False 419.76/106.06 | 5A - 7A 7A | | 0A - 0A 3A | 419.76/106.06 | 1A - - 1A | | 1A - - 1A | 419.76/106.06 \ - - - 0A / \ - - - 0A / 419.76/106.06 [0, 2] ->= [2, 0, 0, 0] 419.76/106.06 lhs rhs ge gt 419.76/106.06 Wk / 0A - 1A 3A \ Wk / 0A - 1A 3A \ True False 419.76/106.06 | 6A - 7A 9A | | - - - - | 419.76/106.06 | 1A - 0A 3A | | 1A - 0A 3A | 419.76/106.06 \ - - - 0A / \ - - - 0A / 419.76/106.06 [3, 0] ->= [0, 0, 0, 3] 419.76/106.06 lhs rhs ge gt 419.76/106.06 Wk / 0A - 1A 1A \ Wk / 0A - 1A 0A \ True False 419.76/106.06 | 7A 1A 7A 7A | | 7A 1A 7A 7A | 419.76/106.06 | 1A - 0A 1A | | 1A - 0A 1A | 419.76/106.06 \ - - - 0A / \ - - - 0A / 419.76/106.06 [4, 0, 0] ->= [0, 0, 4] 419.76/106.07 lhs rhs ge gt 419.76/106.07 Wk / 1A - 0A 1A \ Wk / 1A - 0A 0A \ True False 419.76/106.07 | 7A 1A 7A 7A | | 7A 1A 6A 6A | 419.76/106.07 | 0A - - 0A | | 0A - - 0A | 419.76/106.07 \ - - - 0A / \ - - - 0A / 419.76/106.07 [5, 1] ->= [5, 3] 419.76/106.07 lhs rhs ge gt 419.76/106.07 Wk / - - - 4A \ Wk / - - - 4A \ True False 419.76/106.07 | - - - 2A | | - - - 2A | 419.76/106.07 | - - - 2A | | - - - 2A | 419.76/106.07 \ - - - 0A / \ - - - 0A / 419.76/106.07 [5, 2] ->= [5, 0, 4] 419.76/106.07 lhs rhs ge gt 419.76/106.07 Wk / - - - 4A \ Wk / - - - 4A \ True False 419.76/106.07 | - - - 2A | | - - - 2A | 419.76/106.07 | - - - 2A | | - - - 2A | 419.76/106.07 \ - - - 0A / \ - - - 0A / 419.76/106.07 [3, 5] ->= [2, 5] 419.76/106.08 lhs rhs ge gt 419.76/106.08 Wk / - - - 5A \ Wk / - - - 5A \ True False 419.76/106.08 | - - - 9A | | - - - - | 419.76/106.08 | - - - 4A | | - - - 4A | 419.76/106.08 \ - - - 0A / \ - - - 0A / 419.76/106.08 [4, 5] ->= [1, 5] 419.76/106.08 lhs rhs ge gt 419.76/106.08 Wk / - - - 5A \ Wk / - - - 5A \ True False 419.76/106.08 | - - - 5A | | - - - 4A | 419.76/106.08 | - - - 4A | | - - - 3A | 419.76/106.08 \ - - - 0A / \ - - - 0A / 419.76/106.08 [0, 0] ->= [] 419.76/106.09 lhs rhs ge gt 419.76/106.09 Wk / 0A - - 0A \ Wk / 0A - - - \ True False 419.76/106.09 | 6A 0A 6A 6A | | - 0A - - | 419.76/106.09 | - - 0A 0A | | - - 0A - | 419.76/106.09 \ - - - 0A / \ - - - 0A / 419.76/106.09 property Termination 419.76/106.09 has value True 419.76/106.09 for SRS ( [9, 1] |-> [9, 3], [0, 1] ->= [1, 0, 0, 0], [0, 2] ->= [2, 0, 0, 0], [3, 0] ->= [0, 0, 0, 3], [4, 0, 0] ->= [0, 0, 4], [5, 1] ->= [5, 3], [5, 2] ->= [5, 0, 4], [3, 5] ->= [2, 5], [4, 5] ->= [1, 5], [0, 0] ->= []) 419.76/106.09 reason 419.76/106.09 EDG has 1 SCCs 419.76/106.09 property Termination 419.76/106.09 has value True 419.76/106.09 for SRS ( [9, 1] |-> [9, 3], [0, 1] ->= [1, 0, 0, 0], [0, 2] ->= [2, 0, 0, 0], [3, 0] ->= [0, 0, 0, 3], [4, 0, 0] ->= [0, 0, 4], [5, 1] ->= [5, 3], [5, 2] ->= [5, 0, 4], [3, 5] ->= [2, 5], [4, 5] ->= [1, 5], [0, 0] ->= []) 419.76/106.09 reason 419.76/106.09 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 419.76/106.09 interpretation 419.76/106.09 0 / 0A 0A \ 419.76/106.09 \ -2A 0A / 419.76/106.09 1 / 0A 2A \ 419.76/106.09 \ 0A 2A / 419.76/106.09 2 / 2A 2A \ 419.76/106.09 \ 0A 0A / 419.76/106.09 3 / 0A 2A \ 419.76/106.09 \ -2A 0A / 419.76/106.09 4 / 2A 2A \ 419.76/106.09 \ 2A 2A / 419.76/106.09 5 / 6A 6A \ 419.76/106.09 \ 6A 6A / 419.76/106.09 9 / 21A 22A \ 419.76/106.09 \ 21A 22A / 419.76/106.09 [9, 1] |-> [9, 3] 419.76/106.09 lhs rhs ge gt 419.76/106.09 / 22A 24A \ / 21A 23A \ True True 419.76/106.09 \ 22A 24A / \ 21A 23A / 419.76/106.09 [0, 1] ->= [1, 0, 0, 0] 419.76/106.09 lhs rhs ge gt 419.76/106.09 / 0A 2A \ / 0A 2A \ True False 419.76/106.09 \ 0A 2A / \ 0A 2A / 419.76/106.09 [0, 2] ->= [2, 0, 0, 0] 419.76/106.09 lhs rhs ge gt 419.76/106.09 / 2A 2A \ / 2A 2A \ True False 419.76/106.09 \ 0A 0A / \ 0A 0A / 419.76/106.09 [3, 0] ->= [0, 0, 0, 3] 419.76/106.09 lhs rhs ge gt 419.76/106.09 / 0A 2A \ / 0A 2A \ True False 419.76/106.09 \ -2A 0A / \ -2A 0A / 419.76/106.09 [4, 0, 0] ->= [0, 0, 4] 419.76/106.09 lhs rhs ge gt 419.76/106.09 / 2A 2A \ / 2A 2A \ True False 419.76/106.09 \ 2A 2A / \ 2A 2A / 419.76/106.09 [5, 1] ->= [5, 3] 419.76/106.09 lhs rhs ge gt 419.76/106.09 / 6A 8A \ / 6A 8A \ True False 419.76/106.09 \ 6A 8A / \ 6A 8A / 419.76/106.09 [5, 2] ->= [5, 0, 4] 419.76/106.09 lhs rhs ge gt 419.76/106.09 / 8A 8A \ / 8A 8A \ True False 419.76/106.09 \ 8A 8A / \ 8A 8A / 419.76/106.09 [3, 5] ->= [2, 5] 419.76/106.09 lhs rhs ge gt 419.76/106.09 / 8A 8A \ / 8A 8A \ True False 419.76/106.09 \ 6A 6A / \ 6A 6A / 419.76/106.09 [4, 5] ->= [1, 5] 419.76/106.09 lhs rhs ge gt 419.76/106.09 / 8A 8A \ / 8A 8A \ True False 419.76/106.09 \ 8A 8A / \ 8A 8A / 419.76/106.09 [0, 0] ->= [] 419.76/106.09 lhs rhs ge gt 419.76/106.09 / 0A 0A \ / 0A - \ True False 419.76/106.09 \ -2A 0A / \ - 0A / 419.76/106.09 property Termination 419.76/106.09 has value True 419.98/106.10 for SRS ( [0, 1] ->= [1, 0, 0, 0], [0, 2] ->= [2, 0, 0, 0], [3, 0] ->= [0, 0, 0, 3], [4, 0, 0] ->= [0, 0, 4], [5, 1] ->= [5, 3], [5, 2] ->= [5, 0, 4], [3, 5] ->= [2, 5], [4, 5] ->= [1, 5], [0, 0] ->= []) 419.98/106.10 reason 419.98/106.10 EDG has 0 SCCs 419.98/106.10 419.98/106.10 ************************************************** 419.98/106.10 summary 419.98/106.10 ************************************************** 419.98/106.10 SRS with 9 rules on 6 letters Remap { tracing = False} 419.98/106.10 SRS with 9 rules on 6 letters reverse each lhs and rhs 419.98/106.10 SRS with 9 rules on 6 letters DP transform 419.98/106.10 SRS with 27 rules on 10 letters Remap { tracing = False} 419.98/106.10 SRS with 27 rules on 10 letters weights 419.98/106.10 SRS with 13 rules on 9 letters EDG 419.98/106.10 3 sub-proofs 419.98/106.10 1 SRS with 10 rules on 7 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 419.98/106.10 SRS with 9 rules on 6 letters EDG 419.98/106.10 419.98/106.10 2 SRS with 10 rules on 7 letters Matrix { monotone = Weak, domain = Natural, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 419.98/106.10 SRS with 9 rules on 6 letters EDG 419.98/106.10 419.98/106.10 3 SRS with 11 rules on 7 letters Matrix { monotone = Weak, domain = Arctic, bits = 3, dim = 4, solver = Minisatapi, verbose = False, tracing = False} 419.98/106.10 SRS with 10 rules on 7 letters EDG 419.98/106.10 SRS with 10 rules on 7 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 419.98/106.10 SRS with 9 rules on 6 letters EDG 419.98/106.10 419.98/106.10 ************************************************** 419.98/106.10 (9, 6)\Deepee(27, 10)\Weight(13, 9)\EDG[(10, 7)\Matrix{\Natural}{4}(9, 6)\EDG[],(10, 7)\Matrix{\Natural}{4}(9, 6)\EDG[],(11, 7)\Matrix{\Arctic}{4}(10, 7)\Matrix{\Arctic}{2}(9, 6)\EDG[]] 419.98/106.10 ************************************************** 420.22/106.16 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]} 420.22/106.16 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 421.80/106.69 EOF