14.63/3.73 YES 14.63/3.73 property Termination 14.63/3.73 has value True 14.63/3.73 for SRS ( [3, 1] -> [4, 1], [5, 9] -> [2, 6, 5], [3, 5] -> [8, 9, 7], [9] -> [3, 2, 3], [8, 4] -> [6], [2, 6] -> [4, 3], [3, 8] -> [3, 2, 7], [9] -> [5, 0, 2], [8, 8, 4] -> [1, 9], [7, 1] -> [6, 9], [3, 9] -> [9, 3], [7, 5] -> [1, 0]) 14.63/3.73 reason 14.63/3.73 remap for 12 rules 14.63/3.73 property Termination 14.63/3.73 has value True 14.63/3.73 for SRS ( [0, 1] -> [2, 1], [3, 4] -> [5, 6, 3], [0, 3] -> [7, 4, 8], [4] -> [0, 5, 0], [7, 2] -> [6], [5, 6] -> [2, 0], [0, 7] -> [0, 5, 8], [4] -> [3, 9, 5], [7, 7, 2] -> [1, 4], [8, 1] -> [6, 4], [0, 4] -> [4, 0], [8, 3] -> [1, 9]) 14.63/3.73 reason 14.63/3.73 DP transform 14.63/3.73 property Termination 14.63/3.73 has value True 14.63/3.74 for SRS ( [0, 1] ->= [2, 1], [3, 4] ->= [5, 6, 3], [0, 3] ->= [7, 4, 8], [4] ->= [0, 5, 0], [7, 2] ->= [6], [5, 6] ->= [2, 0], [0, 7] ->= [0, 5, 8], [4] ->= [3, 9, 5], [7, 7, 2] ->= [1, 4], [8, 1] ->= [6, 4], [0, 4] ->= [4, 0], [8, 3] ->= [1, 9], [3#, 4] |-> [5#, 6, 3], [3#, 4] |-> [3#], [0#, 3] |-> [7#, 4, 8], [0#, 3] |-> [4#, 8], [0#, 3] |-> [8#], [4#] |-> [0#, 5, 0], [4#] |-> [5#, 0], [4#] |-> [0#], [5#, 6] |-> [0#], [0#, 7] |-> [0#, 5, 8], [0#, 7] |-> [5#, 8], [0#, 7] |-> [8#], [4#] |-> [3#, 9, 5], [4#] |-> [5#], [7#, 7, 2] |-> [4#], [8#, 1] |-> [4#], [0#, 4] |-> [4#, 0], [0#, 4] |-> [0#]) 14.63/3.74 reason 14.63/3.74 remap for 30 rules 14.63/3.74 property Termination 14.63/3.74 has value True 14.77/3.80 for SRS ( [0, 1] ->= [2, 1], [3, 4] ->= [5, 6, 3], [0, 3] ->= [7, 4, 8], [4] ->= [0, 5, 0], [7, 2] ->= [6], [5, 6] ->= [2, 0], [0, 7] ->= [0, 5, 8], [4] ->= [3, 9, 5], [7, 7, 2] ->= [1, 4], [8, 1] ->= [6, 4], [0, 4] ->= [4, 0], [8, 3] ->= [1, 9], [10, 4] |-> [11, 6, 3], [10, 4] |-> [10], [12, 3] |-> [13, 4, 8], [12, 3] |-> [14, 8], [12, 3] |-> [15], [14] |-> [12, 5, 0], [14] |-> [11, 0], [14] |-> [12], [11, 6] |-> [12], [12, 7] |-> [12, 5, 8], [12, 7] |-> [11, 8], [12, 7] |-> [15], [14] |-> [10, 9, 5], [14] |-> [11], [13, 7, 2] |-> [14], [15, 1] |-> [14], [12, 4] |-> [14, 0], [12, 4] |-> [12]) 14.77/3.80 reason 14.77/3.80 EDG has 2 SCCs 14.77/3.80 property Termination 14.77/3.80 has value True 14.77/3.81 for SRS ( [10, 4] |-> [10], [0, 1] ->= [2, 1], [3, 4] ->= [5, 6, 3], [0, 3] ->= [7, 4, 8], [4] ->= [0, 5, 0], [7, 2] ->= [6], [5, 6] ->= [2, 0], [0, 7] ->= [0, 5, 8], [4] ->= [3, 9, 5], [7, 7, 2] ->= [1, 4], [8, 1] ->= [6, 4], [0, 4] ->= [4, 0], [8, 3] ->= [1, 9]) 14.77/3.81 reason 14.77/3.81 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 14.77/3.81 interpretation 14.77/3.81 0 / 0A 0A \ 14.77/3.81 \ 0A 0A / 14.77/3.81 1 / 0A 0A \ 14.77/3.81 \ 0A 0A / 14.77/3.82 2 / 0A 0A \ 14.77/3.82 \ -2A -2A / 14.77/3.82 3 / 2A 4A \ 14.77/3.82 \ 0A 2A / 14.77/3.82 4 / 2A 2A \ 14.77/3.82 \ 0A 0A / 14.77/3.82 5 / 0A 0A \ 14.77/3.82 \ -2A -2A / 14.77/3.82 6 / 0A 0A \ 14.77/3.82 \ -2A -2A / 14.77/3.82 7 / 0A 2A \ 14.77/3.82 \ 0A 2A / 14.77/3.82 8 / 0A 2A \ 14.77/3.82 \ 0A 2A / 14.77/3.82 9 / 0A 0A \ 14.77/3.82 \ -2A -2A / 14.77/3.82 10 / 16A 16A \ 14.77/3.82 \ 16A 16A / 14.77/3.82 [10, 4] |-> [10] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 18A 18A \ / 16A 16A \ True True 14.77/3.82 \ 18A 18A / \ 16A 16A / 14.77/3.82 [0, 1] ->= [2, 1] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 0A 0A \ / 0A 0A \ True False 14.77/3.82 \ 0A 0A / \ -2A -2A / 14.77/3.82 [3, 4] ->= [5, 6, 3] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 4A 4A \ / 2A 4A \ True False 14.77/3.82 \ 2A 2A / \ 0A 2A / 14.77/3.82 [0, 3] ->= [7, 4, 8] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 2A 4A \ / 2A 4A \ True False 14.77/3.82 \ 2A 4A / \ 2A 4A / 14.77/3.82 [4] ->= [0, 5, 0] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 2A 2A \ / 0A 0A \ True False 14.77/3.82 \ 0A 0A / \ 0A 0A / 14.77/3.82 [7, 2] ->= [6] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 0A 0A \ / 0A 0A \ True False 14.77/3.82 \ 0A 0A / \ -2A -2A / 14.77/3.82 [5, 6] ->= [2, 0] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 0A 0A \ / 0A 0A \ True False 14.77/3.82 \ -2A -2A / \ -2A -2A / 14.77/3.82 [0, 7] ->= [0, 5, 8] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 0A 2A \ / 0A 2A \ True False 14.77/3.82 \ 0A 2A / \ 0A 2A / 14.77/3.82 [4] ->= [3, 9, 5] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 2A 2A \ / 2A 2A \ True False 14.77/3.82 \ 0A 0A / \ 0A 0A / 14.77/3.82 [7, 7, 2] ->= [1, 4] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 2A 2A \ / 2A 2A \ True False 14.77/3.82 \ 2A 2A / \ 2A 2A / 14.77/3.82 [8, 1] ->= [6, 4] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 2A 2A \ / 2A 2A \ True False 14.77/3.82 \ 2A 2A / \ 0A 0A / 14.77/3.82 [0, 4] ->= [4, 0] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 2A 2A \ / 2A 2A \ True False 14.77/3.82 \ 2A 2A / \ 0A 0A / 14.77/3.82 [8, 3] ->= [1, 9] 14.77/3.82 lhs rhs ge gt 14.77/3.82 / 2A 4A \ / 0A 0A \ True True 14.77/3.82 \ 2A 4A / \ 0A 0A / 14.77/3.82 property Termination 14.77/3.82 has value True 14.77/3.82 for SRS ( [0, 1] ->= [2, 1], [3, 4] ->= [5, 6, 3], [0, 3] ->= [7, 4, 8], [4] ->= [0, 5, 0], [7, 2] ->= [6], [5, 6] ->= [2, 0], [0, 7] ->= [0, 5, 8], [4] ->= [3, 9, 5], [7, 7, 2] ->= [1, 4], [8, 1] ->= [6, 4], [0, 4] ->= [4, 0], [8, 3] ->= [1, 9]) 14.77/3.83 reason 14.77/3.83 EDG has 0 SCCs 14.77/3.83 14.77/3.83 property Termination 14.77/3.83 has value True 14.77/3.83 for SRS ( [12, 3] |-> [13, 4, 8], [13, 7, 2] |-> [14], [14] |-> [11], [11, 6] |-> [12], [12, 4] |-> [12], [12, 4] |-> [14, 0], [14] |-> [12], [12, 7] |-> [15], [15, 1] |-> [14], [14] |-> [11, 0], [14] |-> [12, 5, 0], [12, 7] |-> [11, 8], [12, 7] |-> [12, 5, 8], [12, 3] |-> [15], [12, 3] |-> [14, 8], [0, 1] ->= [2, 1], [3, 4] ->= [5, 6, 3], [0, 3] ->= [7, 4, 8], [4] ->= [0, 5, 0], [7, 2] ->= [6], [5, 6] ->= [2, 0], [0, 7] ->= [0, 5, 8], [4] ->= [3, 9, 5], [7, 7, 2] ->= [1, 4], [8, 1] ->= [6, 4], [0, 4] ->= [4, 0], [8, 3] ->= [1, 9]) 14.77/3.83 reason 14.77/3.83 Tiling { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 14.77/3.83 using 573 tiles 15.07/3.84 [ [<, 6, >] , [<, 11, >] , [<, 12, >] , [<, 14, >] , [<, 15, >] , [0, 0, >] , [0, 1, >] , [0, 3, >] , [0, 4, >] , [0, 8, >] , [0, 9, >] , [1, 4, >] , [1, 9, >] , [2, 0, >] , [2, 1, >] , [3, 0, >] , [3, 1, >] , [3, 4, >] , [4, 0, >] , [4, 1, >] , [4, 4, >] , [4, 8, >] , [4, 9, >] , [5, 0, >] , [5, 1, >] , [5, 4, >] , [5, 8, >] , [5, 9, >] , [6, 0, >] , [6, 1, >] , [6, 3, >] , [6, 4, >] , [8, 0, >] , [8, 1, >] , [8, 4, >] , [9, 5, >] , [11, 0, >] , [11, 1, >] , [11, 4, >] , [11, 8, >] , [11, 9, >] , [12, 0, >] , [12, 1, >] , [12, 3, >] , [12, 4, >] , [12, 8, >] , [12, 9, >] , [14, 0, >] , [14, 1, >] , [14, 4, >] , [14, 8, >] , [14, 9, >] , [15, 0, >] , [15, 1, >] , [15, 4, >] , [<, <, 0] , [<, 1, 0] , [<, 2, 0] , [<, 4, 0] , [<, 6, 0] , [<, 7, 0] , [<, 11, 0] , [<, 12, 0] , [<, 13, 0] , [<, 14, 0] , [<, 15, 0] , [0, 0, 0] , [0, 1, 0] , [0, 2, 0] , [0, 3, 0] , [0, 4, 0] , [0, 5, 0] , [0, 6, 0] , [0, 7, 0] , [0, 8, 0] , [1, 4, 0] , [2, 0, 0] , [2, 1, 0] , [2, 4, 0] , [2, 7, 0] , [3, 0, 0] , [3, 1, 0] , [3, 4, 0] , [3, 7, 0] , [4, 0, 0] , [4, 1, 0] , [4, 4, 0] , [4, 6, 0] , [4, 7, 0] , [4, 8, 0] , [5, 0, 0] , [5, 1, 0] , [5, 4, 0] , [5, 6, 0] , [5, 7, 0] , [5, 8, 0] , [6, 0, 0] , [6, 1, 0] , [6, 2, 0] , [6, 3, 0] , [6, 4, 0] , [6, 7, 0] , [8, 0, 0] , [8, 1, 0] , [8, 4, 0] , [8, 7, 0] , [9, 2, 0] , [9, 5, 0] , [11, 0, 0] , [11, 1, 0] , [11, 4, 0] , [11, 6, 0] , [11, 7, 0] , [11, 8, 0] , [12, 0, 0] , [12, 1, 0] , [12, 2, 0] , [12, 3, 0] , [12, 4, 0] , [12, 5, 0] , [12, 6, 0] , [12, 7, 0] , [12, 8, 0] , [14, 0, 0] , [14, 1, 0] , [14, 4, 0] , [14, 6, 0] , [14, 7, 0] , [14, 8, 0] , [15, 0, 0] , [15, 1, 0] , [15, 4, 0] , [15, 7, 0] , [<, <, 1] , [<, 2, 1] , [<, 6, 1] , [<, 11, 1] , [<, 12, 1] , [<, 14, 1] , [<, 15, 1] , [0, 0, 1] , [0, 2, 1] , [0, 3, 1] , [0, 4, 1] , [0, 5, 1] , [0, 8, 1] , [1, 4, 1] , [2, 0, 1] , [2, 2, 1] , [3, 0, 1] , [3, 2, 1] , [3, 4, 1] , [4, 0, 1] , [4, 2, 1] , [4, 4, 1] , [4, 8, 1] , [5, 0, 1] , [5, 2, 1] , [5, 4, 1] , [5, 8, 1] , [6, 0, 1] , [6, 2, 1] , [6, 3, 1] , [7, 4, 1] , [8, 0, 1] , [8, 2, 1] , [8, 4, 1] , [9, 5, 1] , [11, 0, 1] , [11, 2, 1] , [11, 4, 1] , [11, 8, 1] , [12, 0, 1] , [12, 2, 1] , [12, 3, 1] , [12, 4, 1] , [12, 5, 1] , [12, 8, 1] , [13, 4, 1] , [14, 0, 1] , [14, 2, 1] , [14, 4, 1] , [14, 8, 1] , [15, 0, 1] , [15, 2, 1] , [15, 4, 1] , [<, <, 2] , [<, 0, 2] , [<, 2, 2] , [<, 4, 2] , [<, 6, 2] , [<, 11, 2] , [<, 12, 2] , [<, 14, 2] , [<, 15, 2] , [0, 0, 2] , [0, 2, 2] , [0, 3, 2] , [0, 4, 2] , [0, 5, 2] , [0, 6, 2] , [0, 8, 2] , [1, 0, 2] , [1, 4, 2] , [2, 0, 2] , [2, 4, 2] , [3, 0, 2] , [3, 4, 2] , [3, 9, 2] , [4, 0, 2] , [4, 4, 2] , [4, 6, 2] , [4, 8, 2] , [5, 0, 2] , [5, 4, 2] , [5, 6, 2] , [5, 8, 2] , [6, 0, 2] , [6, 2, 2] , [6, 3, 2] , [6, 4, 2] , [7, 0, 2] , [8, 0, 2] , [8, 4, 2] , [8, 9, 2] , [9, 2, 2] , [9, 5, 2] , [9, 9, 2] , [11, 0, 2] , [11, 4, 2] , [11, 6, 2] , [11, 8, 2] , [12, 0, 2] , [12, 2, 2] , [12, 3, 2] , [12, 4, 2] , [12, 5, 2] , [12, 6, 2] , [12, 8, 2] , [13, 0, 2] , [14, 0, 2] , [14, 4, 2] , [14, 6, 2] , [14, 8, 2] , [15, 0, 2] , [15, 4, 2] , [15, 9, 2] , [<, <, 3] , [<, 1, 3] , [<, 2, 3] , [<, 4, 3] , [<, 6, 3] , [<, 7, 3] , [<, 11, 3] , [<, 12, 3] , [<, 13, 3] , [<, 14, 3] , [<, 15, 3] , [0, 0, 3] , [0, 1, 3] , [0, 2, 3] , [0, 3, 3] , [0, 4, 3] , [0, 5, 3] , [0, 6, 3] , [0, 7, 3] , [0, 8, 3] , [1, 4, 3] , [2, 0, 3] , [2, 1, 3] , [2, 4, 3] , [2, 7, 3] , [3, 0, 3] , [3, 1, 3] , [3, 4, 3] , [3, 7, 3] , [4, 0, 3] , [4, 1, 3] , [4, 4, 3] , [4, 6, 3] , [4, 7, 3] , [4, 8, 3] , [5, 0, 3] , [5, 1, 3] , [5, 4, 3] , [5, 6, 3] , [5, 7, 3] , [5, 8, 3] , [6, 0, 3] , [6, 1, 3] , [6, 2, 3] , [6, 3, 3] , [6, 4, 3] , [6, 7, 3] , [8, 0, 3] , [8, 1, 3] , [8, 4, 3] , [8, 7, 3] , [9, 2, 3] , [9, 5, 3] , [11, 0, 3] , [11, 1, 3] , [11, 4, 3] , [11, 6, 3] , [11, 7, 3] , [11, 8, 3] , [12, 0, 3] , [12, 1, 3] , [12, 2, 3] , [12, 3, 3] , [12, 4, 3] , [12, 5, 3] , [12, 6, 3] , [12, 7, 3] , [12, 8, 3] , [14, 0, 3] , [14, 1, 3] , [14, 4, 3] , [14, 6, 3] , [14, 7, 3] , [14, 8, 3] , [15, 0, 3] , [15, 1, 3] , [15, 4, 3] , [15, 7, 3] , [<, <, 4] , [<, 1, 4] , [<, 2, 4] , [<, 4, 4] , [<, 6, 4] , [<, 7, 4] , [<, 11, 4] , [<, 12, 4] , [<, 13, 4] , [<, 14, 4] , [<, 15, 4] , [0, 0, 4] , [0, 1, 4] , [0, 2, 4] , [0, 3, 4] , [0, 4, 4] , [0, 5, 4] , [0, 6, 4] , [0, 7, 4] , [0, 8, 4] , [1, 4, 4] , [2, 0, 4] , [2, 1, 4] , [2, 4, 4] , [2, 7, 4] , [3, 0, 4] , [3, 1, 4] , [3, 4, 4] , [3, 7, 4] , [4, 0, 4] , [4, 1, 4] , [4, 4, 4] , [4, 6, 4] , [4, 7, 4] , [4, 8, 4] , [5, 0, 4] , [5, 1, 4] , [5, 4, 4] , [5, 6, 4] , [5, 7, 4] , [5, 8, 4] , [6, 0, 4] , [6, 1, 4] , [6, 2, 4] , [6, 3, 4] , [6, 4, 4] , [6, 7, 4] , [8, 0, 4] , [8, 1, 4] , [8, 4, 4] , [8, 7, 4] , [9, 2, 4] , [9, 5, 4] , [11, 0, 4] , [11, 1, 4] , [11, 4, 4] , [11, 6, 4] , [11, 7, 4] , [11, 8, 4] , [12, 0, 4] , [12, 1, 4] , [12, 2, 4] , [12, 3, 4] , [12, 4, 4] , [12, 5, 4] , [12, 6, 4] , [12, 7, 4] , [12, 8, 4] , [14, 0, 4] , [14, 1, 4] , [14, 4, 4] , [14, 6, 4] , [14, 7, 4] , [14, 8, 4] , [15, 0, 4] , [15, 1, 4] , [15, 4, 4] , [15, 7, 4] , [<, <, 5] , [<, 0, 5] , [<, 6, 5] , [<, 12, 5] , [0, 0, 5] , [0, 6, 5] , [1, 0, 5] , [2, 0, 5] , [3, 0, 5] , [3, 9, 5] , [4, 0, 5] , [4, 6, 5] , [5, 0, 5] , [5, 6, 5] , [6, 0, 5] , [7, 0, 5] , [8, 0, 5] , [8, 9, 5] , [9, 9, 5] , [11, 0, 5] , [11, 6, 5] , [12, 0, 5] , [12, 6, 5] , [13, 0, 5] , [14, 0, 5] , [14, 6, 5] , [15, 0, 5] , [15, 9, 5] , [<, <, 6] , [<, 5, 6] , [<, 11, 6] , [<, 12, 6] , [<, 14, 6] , [0, 5, 6] , [5, 0, 6] , [6, 5, 6] , [7, 4, 6] , [8, 4, 6] , [9, 5, 6] , [11, 0, 6] , [12, 5, 6] , [13, 4, 6] , [15, 4, 6] , [<, <, 7] , [<, 2, 7] , [<, 4, 7] , [<, 6, 7] , [<, 11, 7] , [<, 12, 7] , [<, 14, 7] , [<, 15, 7] , [0, 0, 7] , [0, 2, 7] , [0, 3, 7] , [0, 4, 7] , [0, 5, 7] , [0, 6, 7] , [0, 8, 7] , [1, 4, 7] , [2, 0, 7] , [2, 4, 7] , [3, 0, 7] , [3, 4, 7] , [4, 0, 7] , [4, 4, 7] , [4, 6, 7] , [4, 8, 7] , [5, 0, 7] , [5, 4, 7] , [5, 6, 7] , [5, 8, 7] , [6, 0, 7] , [6, 2, 7] , [6, 3, 7] , [6, 4, 7] , [8, 0, 7] , [8, 4, 7] , [9, 2, 7] , [9, 5, 7] , [11, 0, 7] , [11, 4, 7] , [11, 6, 7] , [11, 8, 7] , [12, 0, 7] , [12, 2, 7] , [12, 3, 7] , [12, 4, 7] , [12, 5, 7] , [12, 6, 7] , [12, 8, 7] , [14, 0, 7] , [14, 4, 7] , [14, 6, 7] , [14, 8, 7] , [15, 0, 7] , [15, 4, 7] , [<, 11, 8] , [<, 12, 8] , [<, 14, 8] , [0, 5, 8] , [5, 0, 8] , [7, 4, 8] , [8, 4, 8] , [9, 5, 8] , [11, 0, 8] , [12, 5, 8] , [13, 4, 8] , [15, 4, 8] , [<, 1, 9] , [<, 3, 9] , [<, 11, 9] , [<, 12, 9] , [<, 14, 9] , [<, 15, 9] , [0, 0, 9] , [0, 1, 9] , [0, 3, 9] , [0, 4, 9] , [0, 8, 9] , [0, 9, 9] , [1, 3, 9] , [1, 9, 9] , [2, 1, 9] , [2, 3, 9] , [3, 0, 9] , [3, 1, 9] , [3, 3, 9] , [4, 0, 9] , [4, 1, 9] , [4, 3, 9] , [4, 8, 9] , [4, 9, 9] , [5, 0, 9] , [5, 1, 9] , [5, 3, 9] , [5, 8, 9] , [5, 9, 9] , [6, 1, 9] , [6, 3, 9] , [6, 4, 9] , [7, 3, 9] , [8, 0, 9] , [8, 1, 9] , [8, 3, 9] , [9, 5, 9] , [11, 0, 9] , [11, 1, 9] , [11, 3, 9] , [11, 8, 9] , [11, 9, 9] , [12, 0, 9] , [12, 1, 9] , [12, 3, 9] , [12, 4, 9] , [12, 8, 9] , [12, 9, 9] , [13, 3, 9] , [14, 0, 9] , [14, 1, 9] , [14, 3, 9] , [14, 8, 9] , [14, 9, 9] , [15, 0, 9] , [15, 1, 9] , [15, 3, 9] , [<, <, 11] , [<, <, 12] , [<, <, 13] , [<, <, 14] , [<, <, 15] ] 15.07/3.84 remove some unmatched rules 15.07/3.84 15.07/3.84 property Termination 15.07/3.84 has value True 15.07/3.84 for SRS ( [[12], [3]] |-> [[13], [4], [8]], [[14]] |-> [[11]], [[11], [6]] |-> [[12]], [[12], [4]] |-> [[12]], [[12], [4]] |-> [[14], [0]], [[14]] |-> [[12]], [[12], [7]] |-> [[15]], [[15], [1]] |-> [[14]], [[14]] |-> [[11], [0]], [[14]] |-> [[12], [5], [0]], [[12], [7]] |-> [[11], [8]], [[12], [7]] |-> [[12], [5], [8]], [[12], [3]] |-> [[15]], [[12], [3]] |-> [[14], [8]], [[0], [1]] ->= [[2], [1]], [[3], [4]] ->= [[5], [6], [3]], [[0], [3]] ->= [[7], [4], [8]], [[4]] ->= [[0], [5], [0]], [[5], [6]] ->= [[2], [0]], [[0], [7]] ->= [[0], [5], [8]], [[4]] ->= [[3], [9], [5]], [[8], [1]] ->= [[6], [4]], [[0], [4]] ->= [[4], [0]], [[8], [3]] ->= [[1], [9]]) 15.07/3.84 reason 15.07/3.84 remap for 24 rules 15.07/3.84 property Termination 15.07/3.84 has value True 15.07/3.84 for SRS ( [0, 1] |-> [2, 3, 4], [5] |-> [6], [6, 7] |-> [0], [0, 3] |-> [0], [0, 3] |-> [5, 8], [5] |-> [0], [0, 9] |-> [10], [10, 11] |-> [5], [5] |-> [6, 8], [5] |-> [0, 12, 8], [0, 9] |-> [6, 4], [0, 9] |-> [0, 12, 4], [0, 1] |-> [10], [0, 1] |-> [5, 4], [8, 11] ->= [13, 11], [1, 3] ->= [12, 7, 1], [8, 1] ->= [9, 3, 4], [3] ->= [8, 12, 8], [12, 7] ->= [13, 8], [8, 9] ->= [8, 12, 4], [3] ->= [1, 14, 12], [4, 11] ->= [7, 3], [8, 3] ->= [3, 8], [4, 1] ->= [11, 14]) 15.07/3.84 reason 15.07/3.84 weights 15.07/3.84 Map [(0, 2/1), (1, 6/1), (3, 6/1), (4, 1/1), (5, 5/1), (6, 1/1), (7, 2/1), (8, 2/1), (9, 1/1), (11, 7/1)] 15.07/3.84 15.07/3.84 property Termination 15.07/3.84 has value True 15.07/3.84 for SRS ( [0, 9] |-> [0, 12, 4], [8, 1] ->= [9, 3, 4], [12, 7] ->= [13, 8], [8, 9] ->= [8, 12, 4], [3] ->= [1, 14, 12], [4, 11] ->= [7, 3], [8, 3] ->= [3, 8], [4, 1] ->= [11, 14]) 15.07/3.84 reason 15.07/3.84 EDG has 1 SCCs 15.07/3.84 property Termination 15.07/3.84 has value True 15.07/3.84 for SRS ( [0, 9] |-> [0, 12, 4], [8, 1] ->= [9, 3, 4], [12, 7] ->= [13, 8], [8, 9] ->= [8, 12, 4], [3] ->= [1, 14, 12], [4, 11] ->= [7, 3], [8, 3] ->= [3, 8], [4, 1] ->= [11, 14]) 15.07/3.84 reason 15.07/3.84 Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 15.07/3.84 interpretation 15.07/3.84 0 / 5A 7A \ 15.07/3.84 \ 5A 7A / 15.07/3.84 1 / 6A 6A \ 15.07/3.84 \ 6A 6A / 15.07/3.84 3 / 6A 6A \ 15.07/3.84 \ 6A 6A / 15.07/3.84 4 / 6A 8A \ 15.07/3.84 \ 6A 8A / 15.07/3.84 7 / 16A 16A \ 15.07/3.84 \ 14A 16A / 15.07/3.84 8 / 16A 16A \ 15.07/3.84 \ 14A 16A / 15.07/3.84 9 / 6A 8A \ 15.07/3.84 \ 6A 8A / 15.07/3.84 11 / 14A 14A \ 15.07/3.84 \ 14A 14A / 15.07/3.84 12 / 0A 0A \ 15.07/3.84 \ -2A -2A / 15.07/3.84 13 / 0A 0A \ 15.07/3.84 \ -2A -2A / 15.07/3.84 14 / 0A 0A \ 15.07/3.84 \ -2A 0A / 15.07/3.84 [0, 9] |-> [0, 12, 4] 15.07/3.84 lhs rhs ge gt 15.07/3.84 / 13A 15A \ / 11A 13A \ True True 15.07/3.84 \ 13A 15A / \ 11A 13A / 15.07/3.84 [8, 1] ->= [9, 3, 4] 15.07/3.84 lhs rhs ge gt 15.07/3.84 / 22A 22A \ / 20A 22A \ True False 15.07/3.84 \ 22A 22A / \ 20A 22A / 15.07/3.84 [12, 7] ->= [13, 8] 15.07/3.84 lhs rhs ge gt 15.07/3.84 / 16A 16A \ / 16A 16A \ True False 15.07/3.84 \ 14A 14A / \ 14A 14A / 15.07/3.84 [8, 9] ->= [8, 12, 4] 15.07/3.84 lhs rhs ge gt 15.07/3.84 / 22A 24A \ / 22A 24A \ True False 15.07/3.84 \ 22A 24A / \ 20A 22A / 15.07/3.84 [3] ->= [1, 14, 12] 15.07/3.84 lhs rhs ge gt 15.07/3.84 / 6A 6A \ / 6A 6A \ True False 15.07/3.84 \ 6A 6A / \ 6A 6A / 15.07/3.84 [4, 11] ->= [7, 3] 15.07/3.84 lhs rhs ge gt 15.07/3.84 / 22A 22A \ / 22A 22A \ True False 15.07/3.84 \ 22A 22A / \ 22A 22A / 15.07/3.84 [8, 3] ->= [3, 8] 15.07/3.84 lhs rhs ge gt 15.07/3.84 / 22A 22A \ / 22A 22A \ True False 15.07/3.84 \ 22A 22A / \ 22A 22A / 15.07/3.84 [4, 1] ->= [11, 14] 15.07/3.84 lhs rhs ge gt 15.07/3.84 / 14A 14A \ / 14A 14A \ True False 15.07/3.84 \ 14A 14A / \ 14A 14A / 15.07/3.84 property Termination 15.07/3.84 has value True 15.07/3.84 for SRS ( [8, 1] ->= [9, 3, 4], [12, 7] ->= [13, 8], [8, 9] ->= [8, 12, 4], [3] ->= [1, 14, 12], [4, 11] ->= [7, 3], [8, 3] ->= [3, 8], [4, 1] ->= [11, 14]) 15.07/3.84 reason 15.07/3.84 EDG has 0 SCCs 15.07/3.84 15.07/3.84 ************************************************** 15.07/3.84 summary 15.07/3.84 ************************************************** 15.07/3.84 SRS with 12 rules on 10 letters Remap { tracing = False} 15.07/3.84 SRS with 12 rules on 10 letters DP transform 15.07/3.85 SRS with 30 rules on 16 letters Remap { tracing = False} 15.07/3.85 SRS with 30 rules on 16 letters EDG 15.07/3.85 2 sub-proofs 15.07/3.85 1 SRS with 13 rules on 11 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 15.07/3.85 SRS with 12 rules on 10 letters EDG 15.07/3.85 15.07/3.85 2 SRS with 27 rules on 15 letters remove some, by Tiling { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 15.07/3.85 SRS with 24 rules on 15 letters Remap { tracing = False} 15.07/3.85 SRS with 24 rules on 15 letters weights 15.07/3.85 SRS with 8 rules on 11 letters EDG 15.07/3.85 SRS with 8 rules on 11 letters Matrix { monotone = Weak, domain = Arctic, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = True} 15.07/3.85 SRS with 7 rules on 10 letters EDG 15.07/3.85 15.07/3.85 ************************************************** 15.07/3.85 (12, 10)\Deepee(30, 16)\EDG[(13, 11)\Matrix{\Arctic}{2}(12, 10)\EDG[],(27, 15)\TileRemoveROC{3}(24, 15)\Weight(8, 11)\Matrix{\Arctic}{2}(7, 10)\EDG[]] 15.07/3.85 ************************************************** 15.07/3.86 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]} 15.07/3.86 in Apply (Worker Remap) (First_Of ([ yeah] <> noh)) 15.20/3.94 EOF