0.00/0.07 YES 0.00/0.07 property Termination 0.00/0.07 has value True 0.00/0.07 for SRS ( [a, a, b] -> [c, c, c], [a, c, a] -> [c, c, a], [a, c, a] -> [b, a, a], [b, a, c] ->= [b, b, c], [b, c, b] ->= [a, b, b], [c, a, b] ->= [b, b, a]) 0.00/0.07 reason 0.00/0.07 remap for 6 rules 0.00/0.07 property Termination 0.00/0.07 has value True 0.00/0.07 for SRS ( [0, 0, 1] -> [2, 2, 2], [0, 2, 0] -> [2, 2, 0], [0, 2, 0] -> [1, 0, 0], [1, 0, 2] ->= [1, 1, 2], [1, 2, 1] ->= [0, 1, 1], [2, 0, 1] ->= [1, 1, 0]) 0.00/0.07 reason 0.00/0.07 Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.07 using 15 tiles 0.00/0.07 [ [0, >] , [1, >] , [2, >] , [<, 0] , [0, 0] , [1, 0] , [2, 0] , [<, 1] , [0, 1] , [1, 1] , [2, 1] , [<, 2] , [0, 2] , [1, 2] , [2, 2] ] 0.00/0.07 tile all rules 0.00/0.07 0.00/0.07 property Termination 0.00/0.07 has value True 0.00/0.07 for SRS ( [[<, 0], [0, 0], [0, 1], [1, >]] -> [[<, 2], [2, 2], [2, 2], [2, >]], [[<, 0], [0, 0], [0, 1], [1, 0]] -> [[<, 2], [2, 2], [2, 2], [2, 0]], [[<, 0], [0, 0], [0, 1], [1, 1]] -> [[<, 2], [2, 2], [2, 2], [2, 1]], [[<, 0], [0, 0], [0, 1], [1, 2]] -> [[<, 2], [2, 2], [2, 2], [2, 2]], [[0, 0], [0, 0], [0, 1], [1, >]] -> [[0, 2], [2, 2], [2, 2], [2, >]], [[0, 0], [0, 0], [0, 1], [1, 0]] -> [[0, 2], [2, 2], [2, 2], [2, 0]], [[0, 0], [0, 0], [0, 1], [1, 1]] -> [[0, 2], [2, 2], [2, 2], [2, 1]], [[0, 0], [0, 0], [0, 1], [1, 2]] -> [[0, 2], [2, 2], [2, 2], [2, 2]], [[1, 0], [0, 0], [0, 1], [1, >]] -> [[1, 2], [2, 2], [2, 2], [2, >]], [[1, 0], [0, 0], [0, 1], [1, 0]] -> [[1, 2], [2, 2], [2, 2], [2, 0]], [[1, 0], [0, 0], [0, 1], [1, 1]] -> [[1, 2], [2, 2], [2, 2], [2, 1]], [[1, 0], [0, 0], [0, 1], [1, 2]] -> [[1, 2], [2, 2], [2, 2], [2, 2]], [[2, 0], [0, 0], [0, 1], [1, >]] -> [[2, 2], [2, 2], [2, 2], [2, >]], [[2, 0], [0, 0], [0, 1], [1, 0]] -> [[2, 2], [2, 2], [2, 2], [2, 0]], [[2, 0], [0, 0], [0, 1], [1, 1]] -> [[2, 2], [2, 2], [2, 2], [2, 1]], [[2, 0], [0, 0], [0, 1], [1, 2]] -> [[2, 2], [2, 2], [2, 2], [2, 2]], [[<, 0], [0, 2], [2, 0], [0, >]] -> [[<, 2], [2, 2], [2, 0], [0, >]], [[<, 0], [0, 2], [2, 0], [0, 0]] -> [[<, 2], [2, 2], [2, 0], [0, 0]], [[<, 0], [0, 2], [2, 0], [0, 1]] -> [[<, 2], [2, 2], [2, 0], [0, 1]], [[<, 0], [0, 2], [2, 0], [0, 2]] -> [[<, 2], [2, 2], [2, 0], [0, 2]], [[0, 0], [0, 2], [2, 0], [0, >]] -> [[0, 2], [2, 2], [2, 0], [0, >]], [[0, 0], [0, 2], [2, 0], [0, 0]] -> [[0, 2], [2, 2], [2, 0], [0, 0]], [[0, 0], [0, 2], [2, 0], [0, 1]] -> [[0, 2], [2, 2], [2, 0], [0, 1]], [[0, 0], [0, 2], [2, 0], [0, 2]] -> [[0, 2], [2, 2], [2, 0], [0, 2]], [[1, 0], [0, 2], [2, 0], [0, >]] -> [[1, 2], [2, 2], [2, 0], [0, >]], [[1, 0], [0, 2], [2, 0], [0, 0]] -> [[1, 2], [2, 2], [2, 0], [0, 0]], [[1, 0], [0, 2], [2, 0], [0, 1]] -> [[1, 2], [2, 2], [2, 0], [0, 1]], [[1, 0], [0, 2], [2, 0], [0, 2]] -> [[1, 2], [2, 2], [2, 0], [0, 2]], [[2, 0], [0, 2], [2, 0], [0, >]] -> [[2, 2], [2, 2], [2, 0], [0, >]], [[2, 0], [0, 2], [2, 0], [0, 0]] -> [[2, 2], [2, 2], [2, 0], [0, 0]], [[2, 0], [0, 2], [2, 0], [0, 1]] -> [[2, 2], [2, 2], [2, 0], [0, 1]], [[2, 0], [0, 2], [2, 0], [0, 2]] -> [[2, 2], [2, 2], [2, 0], [0, 2]], [[<, 0], [0, 2], [2, 0], [0, >]] -> [[<, 1], [1, 0], [0, 0], [0, >]], [[<, 0], [0, 2], [2, 0], [0, 0]] -> [[<, 1], [1, 0], [0, 0], [0, 0]], [[<, 0], [0, 2], [2, 0], [0, 1]] -> [[<, 1], [1, 0], [0, 0], [0, 1]], [[<, 0], [0, 2], [2, 0], [0, 2]] -> [[<, 1], [1, 0], [0, 0], [0, 2]], [[0, 0], [0, 2], [2, 0], [0, >]] -> [[0, 1], [1, 0], [0, 0], [0, >]], [[0, 0], [0, 2], [2, 0], [0, 0]] -> [[0, 1], [1, 0], [0, 0], [0, 0]], [[0, 0], [0, 2], [2, 0], [0, 1]] -> [[0, 1], [1, 0], [0, 0], [0, 1]], [[0, 0], [0, 2], [2, 0], [0, 2]] -> [[0, 1], [1, 0], [0, 0], [0, 2]], [[1, 0], [0, 2], [2, 0], [0, >]] -> [[1, 1], [1, 0], [0, 0], [0, >]], [[1, 0], [0, 2], [2, 0], [0, 0]] -> [[1, 1], [1, 0], [0, 0], [0, 0]], [[1, 0], [0, 2], [2, 0], [0, 1]] -> [[1, 1], [1, 0], [0, 0], [0, 1]], [[1, 0], [0, 2], [2, 0], [0, 2]] -> [[1, 1], [1, 0], [0, 0], [0, 2]], [[2, 0], [0, 2], [2, 0], [0, >]] -> [[2, 1], [1, 0], [0, 0], [0, >]], [[2, 0], [0, 2], [2, 0], [0, 0]] -> [[2, 1], [1, 0], [0, 0], [0, 0]], [[2, 0], [0, 2], [2, 0], [0, 1]] -> [[2, 1], [1, 0], [0, 0], [0, 1]], [[2, 0], [0, 2], [2, 0], [0, 2]] -> [[2, 1], [1, 0], [0, 0], [0, 2]], [[<, 1], [1, 0], [0, 2], [2, >]] ->= [[<, 1], [1, 1], [1, 2], [2, >]], [[<, 1], [1, 0], [0, 2], [2, 0]] ->= [[<, 1], [1, 1], [1, 2], [2, 0]], [[<, 1], [1, 0], [0, 2], [2, 1]] ->= [[<, 1], [1, 1], [1, 2], [2, 1]], [[<, 1], [1, 0], [0, 2], [2, 2]] ->= [[<, 1], [1, 1], [1, 2], [2, 2]], [[0, 1], [1, 0], [0, 2], [2, >]] ->= [[0, 1], [1, 1], [1, 2], [2, >]], [[0, 1], [1, 0], [0, 2], [2, 0]] ->= [[0, 1], [1, 1], [1, 2], [2, 0]], [[0, 1], [1, 0], [0, 2], [2, 1]] ->= [[0, 1], [1, 1], [1, 2], [2, 1]], [[0, 1], [1, 0], [0, 2], [2, 2]] ->= [[0, 1], [1, 1], [1, 2], [2, 2]], [[1, 1], [1, 0], [0, 2], [2, >]] ->= [[1, 1], [1, 1], [1, 2], [2, >]], [[1, 1], [1, 0], [0, 2], [2, 0]] ->= [[1, 1], [1, 1], [1, 2], [2, 0]], [[1, 1], [1, 0], [0, 2], [2, 1]] ->= [[1, 1], [1, 1], [1, 2], [2, 1]], [[1, 1], [1, 0], [0, 2], [2, 2]] ->= [[1, 1], [1, 1], [1, 2], [2, 2]], [[2, 1], [1, 0], [0, 2], [2, >]] ->= [[2, 1], [1, 1], [1, 2], [2, >]], [[2, 1], [1, 0], [0, 2], [2, 0]] ->= [[2, 1], [1, 1], [1, 2], [2, 0]], [[2, 1], [1, 0], [0, 2], [2, 1]] ->= [[2, 1], [1, 1], [1, 2], [2, 1]], [[2, 1], [1, 0], [0, 2], [2, 2]] ->= [[2, 1], [1, 1], [1, 2], [2, 2]], [[<, 1], [1, 2], [2, 1], [1, >]] ->= [[<, 0], [0, 1], [1, 1], [1, >]], [[<, 1], [1, 2], [2, 1], [1, 0]] ->= [[<, 0], [0, 1], [1, 1], [1, 0]], [[<, 1], [1, 2], [2, 1], [1, 1]] ->= [[<, 0], [0, 1], [1, 1], [1, 1]], [[<, 1], [1, 2], [2, 1], [1, 2]] ->= [[<, 0], [0, 1], [1, 1], [1, 2]], [[0, 1], [1, 2], [2, 1], [1, >]] ->= [[0, 0], [0, 1], [1, 1], [1, >]], [[0, 1], [1, 2], [2, 1], [1, 0]] ->= [[0, 0], [0, 1], [1, 1], [1, 0]], [[0, 1], [1, 2], [2, 1], [1, 1]] ->= [[0, 0], [0, 1], [1, 1], [1, 1]], [[0, 1], [1, 2], [2, 1], [1, 2]] ->= [[0, 0], [0, 1], [1, 1], [1, 2]], [[1, 1], [1, 2], [2, 1], [1, >]] ->= [[1, 0], [0, 1], [1, 1], [1, >]], [[1, 1], [1, 2], [2, 1], [1, 0]] ->= [[1, 0], [0, 1], [1, 1], [1, 0]], [[1, 1], [1, 2], [2, 1], [1, 1]] ->= [[1, 0], [0, 1], [1, 1], [1, 1]], [[1, 1], [1, 2], [2, 1], [1, 2]] ->= [[1, 0], [0, 1], [1, 1], [1, 2]], [[2, 1], [1, 2], [2, 1], [1, >]] ->= [[2, 0], [0, 1], [1, 1], [1, >]], [[2, 1], [1, 2], [2, 1], [1, 0]] ->= [[2, 0], [0, 1], [1, 1], [1, 0]], [[2, 1], [1, 2], [2, 1], [1, 1]] ->= [[2, 0], [0, 1], [1, 1], [1, 1]], [[2, 1], [1, 2], [2, 1], [1, 2]] ->= [[2, 0], [0, 1], [1, 1], [1, 2]], [[<, 2], [2, 0], [0, 1], [1, >]] ->= [[<, 1], [1, 1], [1, 0], [0, >]], [[<, 2], [2, 0], [0, 1], [1, 0]] ->= [[<, 1], [1, 1], [1, 0], [0, 0]], [[<, 2], [2, 0], [0, 1], [1, 1]] ->= [[<, 1], [1, 1], [1, 0], [0, 1]], [[<, 2], [2, 0], [0, 1], [1, 2]] ->= [[<, 1], [1, 1], [1, 0], [0, 2]], [[0, 2], [2, 0], [0, 1], [1, >]] ->= [[0, 1], [1, 1], [1, 0], [0, >]], [[0, 2], [2, 0], [0, 1], [1, 0]] ->= [[0, 1], [1, 1], [1, 0], [0, 0]], [[0, 2], [2, 0], [0, 1], [1, 1]] ->= [[0, 1], [1, 1], [1, 0], [0, 1]], [[0, 2], [2, 0], [0, 1], [1, 2]] ->= [[0, 1], [1, 1], [1, 0], [0, 2]], [[1, 2], [2, 0], [0, 1], [1, >]] ->= [[1, 1], [1, 1], [1, 0], [0, >]], [[1, 2], [2, 0], [0, 1], [1, 0]] ->= [[1, 1], [1, 1], [1, 0], [0, 0]], [[1, 2], [2, 0], [0, 1], [1, 1]] ->= [[1, 1], [1, 1], [1, 0], [0, 1]], [[1, 2], [2, 0], [0, 1], [1, 2]] ->= [[1, 1], [1, 1], [1, 0], [0, 2]], [[2, 2], [2, 0], [0, 1], [1, >]] ->= [[2, 1], [1, 1], [1, 0], [0, >]], [[2, 2], [2, 0], [0, 1], [1, 0]] ->= [[2, 1], [1, 1], [1, 0], [0, 0]], [[2, 2], [2, 0], [0, 1], [1, 1]] ->= [[2, 1], [1, 1], [1, 0], [0, 1]], [[2, 2], [2, 0], [0, 1], [1, 2]] ->= [[2, 1], [1, 1], [1, 0], [0, 2]]) 0.00/0.07 reason 0.00/0.07 remap for 96 rules 0.00/0.07 property Termination 0.00/0.07 has value True 0.00/0.07 for SRS ( [0, 1, 2, 3] -> [4, 5, 5, 6], [0, 1, 2, 7] -> [4, 5, 5, 8], [0, 1, 2, 9] -> [4, 5, 5, 10], [0, 1, 2, 11] -> [4, 5, 5, 5], [1, 1, 2, 3] -> [12, 5, 5, 6], [1, 1, 2, 7] -> [12, 5, 5, 8], [1, 1, 2, 9] -> [12, 5, 5, 10], [1, 1, 2, 11] -> [12, 5, 5, 5], [7, 1, 2, 3] -> [11, 5, 5, 6], [7, 1, 2, 7] -> [11, 5, 5, 8], [7, 1, 2, 9] -> [11, 5, 5, 10], [7, 1, 2, 11] -> [11, 5, 5, 5], [8, 1, 2, 3] -> [5, 5, 5, 6], [8, 1, 2, 7] -> [5, 5, 5, 8], [8, 1, 2, 9] -> [5, 5, 5, 10], [8, 1, 2, 11] -> [5, 5, 5, 5], [0, 12, 8, 13] -> [4, 5, 8, 13], [0, 12, 8, 1] -> [4, 5, 8, 1], [0, 12, 8, 2] -> [4, 5, 8, 2], [0, 12, 8, 12] -> [4, 5, 8, 12], [1, 12, 8, 13] -> [12, 5, 8, 13], [1, 12, 8, 1] -> [12, 5, 8, 1], [1, 12, 8, 2] -> [12, 5, 8, 2], [1, 12, 8, 12] -> [12, 5, 8, 12], [7, 12, 8, 13] -> [11, 5, 8, 13], [7, 12, 8, 1] -> [11, 5, 8, 1], [7, 12, 8, 2] -> [11, 5, 8, 2], [7, 12, 8, 12] -> [11, 5, 8, 12], [8, 12, 8, 13] -> [5, 5, 8, 13], [8, 12, 8, 1] -> [5, 5, 8, 1], [8, 12, 8, 2] -> [5, 5, 8, 2], [8, 12, 8, 12] -> [5, 5, 8, 12], [0, 12, 8, 13] -> [14, 7, 1, 13], [0, 12, 8, 1] -> [14, 7, 1, 1], [0, 12, 8, 2] -> [14, 7, 1, 2], [0, 12, 8, 12] -> [14, 7, 1, 12], [1, 12, 8, 13] -> [2, 7, 1, 13], [1, 12, 8, 1] -> [2, 7, 1, 1], [1, 12, 8, 2] -> [2, 7, 1, 2], [1, 12, 8, 12] -> [2, 7, 1, 12], [7, 12, 8, 13] -> [9, 7, 1, 13], [7, 12, 8, 1] -> [9, 7, 1, 1], [7, 12, 8, 2] -> [9, 7, 1, 2], [7, 12, 8, 12] -> [9, 7, 1, 12], [8, 12, 8, 13] -> [10, 7, 1, 13], [8, 12, 8, 1] -> [10, 7, 1, 1], [8, 12, 8, 2] -> [10, 7, 1, 2], [8, 12, 8, 12] -> [10, 7, 1, 12], [14, 7, 12, 6] ->= [14, 9, 11, 6], [14, 7, 12, 8] ->= [14, 9, 11, 8], [14, 7, 12, 10] ->= [14, 9, 11, 10], [14, 7, 12, 5] ->= [14, 9, 11, 5], [2, 7, 12, 6] ->= [2, 9, 11, 6], [2, 7, 12, 8] ->= [2, 9, 11, 8], [2, 7, 12, 10] ->= [2, 9, 11, 10], [2, 7, 12, 5] ->= [2, 9, 11, 5], [9, 7, 12, 6] ->= [9, 9, 11, 6], [9, 7, 12, 8] ->= [9, 9, 11, 8], [9, 7, 12, 10] ->= [9, 9, 11, 10], [9, 7, 12, 5] ->= [9, 9, 11, 5], [10, 7, 12, 6] ->= [10, 9, 11, 6], [10, 7, 12, 8] ->= [10, 9, 11, 8], [10, 7, 12, 10] ->= [10, 9, 11, 10], [10, 7, 12, 5] ->= [10, 9, 11, 5], [14, 11, 10, 3] ->= [0, 2, 9, 3], [14, 11, 10, 7] ->= [0, 2, 9, 7], [14, 11, 10, 9] ->= [0, 2, 9, 9], [14, 11, 10, 11] ->= [0, 2, 9, 11], [2, 11, 10, 3] ->= [1, 2, 9, 3], [2, 11, 10, 7] ->= [1, 2, 9, 7], [2, 11, 10, 9] ->= [1, 2, 9, 9], [2, 11, 10, 11] ->= [1, 2, 9, 11], [9, 11, 10, 3] ->= [7, 2, 9, 3], [9, 11, 10, 7] ->= [7, 2, 9, 7], [9, 11, 10, 9] ->= [7, 2, 9, 9], [9, 11, 10, 11] ->= [7, 2, 9, 11], [10, 11, 10, 3] ->= [8, 2, 9, 3], [10, 11, 10, 7] ->= [8, 2, 9, 7], [10, 11, 10, 9] ->= [8, 2, 9, 9], [10, 11, 10, 11] ->= [8, 2, 9, 11], [4, 8, 2, 3] ->= [14, 9, 7, 13], [4, 8, 2, 7] ->= [14, 9, 7, 1], [4, 8, 2, 9] ->= [14, 9, 7, 2], [4, 8, 2, 11] ->= [14, 9, 7, 12], [12, 8, 2, 3] ->= [2, 9, 7, 13], [12, 8, 2, 7] ->= [2, 9, 7, 1], [12, 8, 2, 9] ->= [2, 9, 7, 2], [12, 8, 2, 11] ->= [2, 9, 7, 12], [11, 8, 2, 3] ->= [9, 9, 7, 13], [11, 8, 2, 7] ->= [9, 9, 7, 1], [11, 8, 2, 9] ->= [9, 9, 7, 2], [11, 8, 2, 11] ->= [9, 9, 7, 12], [5, 8, 2, 3] ->= [10, 9, 7, 13], [5, 8, 2, 7] ->= [10, 9, 7, 1], [5, 8, 2, 9] ->= [10, 9, 7, 2], [5, 8, 2, 11] ->= [10, 9, 7, 12]) 0.00/0.07 reason 0.00/0.07 weights 0.00/0.07 Map [(1, 14/1), (2, 12/1), (3, 1/1), (4, 1/1), (7, 1/1), (8, 7/1), (10, 3/1), (11, 17/1), (12, 28/1)] 0.00/0.07 0.00/0.07 property Termination 0.00/0.07 has value True 0.00/0.07 for SRS ( ) 0.00/0.07 reason 0.00/0.07 has no strict rules 0.00/0.07 0.00/0.07 ************************************************** 0.00/0.07 summary 0.00/0.07 ************************************************** 0.00/0.07 SRS with 6 rules on 3 letters Remap { tracing = False} 0.00/0.07 SRS with 6 rules on 3 letters tile all, by Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, verbose = False, tracing = False} 0.00/0.08 SRS with 96 rules on 15 letters Remap { tracing = False} 0.00/0.08 SRS with 96 rules on 15 letters weights 0.00/0.08 SRS with 0 rules on 0 letters has no strict rules 0.00/0.08 0.00/0.08 ************************************************** 0.00/0.08 (6, 3)\TileAllROC{2}(96, 15)\Weight(0, 0)[] 0.00/0.08 ************************************************** 0.00/0.08 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;when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;tiling = \ m w -> weighted (And_Then (Worker (Tiling { method = m,width = w})) (Worker Remap));matrix = \ mo dom dim bits -> weighted (Worker (Matrix { monotone = mo,domain = dom,dim = dim,bits = bits}));kbo = \ b -> weighted (Worker (KBO { bits = b,solver = Minisatapi}));method = Apply wop (Tree_Search_Preemptive 0 done ([ ] <> ([ when_medium (kbo 1), when_medium (And_Then (Worker Mirror) (kbo 1))] <> ((for [ 3, 4] (\ d -> when_small (matrix Strict Natural d 3))) <> (for [ 2, 3, 5, 8] (\ w -> tiling Overlap w))))))} 0.00/0.08 in Apply (Worker Remap) method 0.00/0.09 EOF