NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f1549_0_search_LT : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg2>-1 && 0==arg1P_1 ], cost: 1 1: f1549_0_search_LT -> f1911_0_search_GE : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, [ arg1 f1944_0_displayChessboard_GE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, [ arg1>=x15_1 && 0==arg1P_6 ], cost: 1 2: f1911_0_search_GE -> f1911_0_search_GE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, [ arg20 && arg1==arg1P_3 && 1+arg2==arg2P_3 ], cost: 1 3: f1911_0_search_GE -> f1549_0_search_LT : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, [ x7_1>0 && arg20 && arg1>-1 && arg1arg1 && 1+arg1==arg1P_4 ], cost: 1 4: f1911_0_search_GE -> f1911_0_search_GE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, [ x11_1>0 && arg20 && arg1>-1 && arg1arg1 && arg1==arg1P_5 && 1+arg2==arg2P_5 ], cost: 1 11: f1911_0_search_GE -> f1876_0_safeMove_GE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, [ arg20 && 1==arg1P_12 && 0==arg2P_12 && arg1==arg3P_12 ], cost: 1 6: f1944_0_displayChessboard_GE -> f2167_0_displayChessboard_GE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, [ arg1 f1944_0_displayChessboard_GE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, [ arg2>=x19_1 && 1+arg1==arg1P_8 ], cost: 1 8: f2167_0_displayChessboard_GE -> f2167_0_displayChessboard_GE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, [ x25_1 f2167_0_displayChessboard_GE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, [ x46_1>arg2 && arg2 f2167_0_displayChessboard_GE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, [ arg2 f1969_0_safeMove_NE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, [ arg3>0 && x32_1>0 && arg1>0 && arg2arg2 && arg3==arg1P_13 && arg2==arg2P_13 && 1==arg3P_13 ], cost: 1 13: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, [ arg3>0 && x36_1>0 && arg1>0 && arg2arg2 && arg3==arg1P_14 && arg2==arg2P_14 && 0==arg3P_14 ], cost: 1 14: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg3>arg2 && 0==arg1 && 0==arg1P_15 && 1+arg2==arg2P_15 && arg3==arg3P_15 ], cost: 1 15: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [ 1==arg3 && 0==arg1P_16 && 1+arg2==arg2P_16 && arg1==arg3P_16 ], cost: 1 16: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, [ 0==arg3 && 1==arg1P_17 && 1+arg2==arg2P_17 && arg1==arg3P_17 ], cost: 1 17: __init -> f1_0_main_Load : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 17: __init -> f1_0_main_Load : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f1549_0_search_LT : arg1'=0, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg2>-1 ], cost: 1 1: f1549_0_search_LT -> f1911_0_search_GE : arg2'=0, arg3'=arg3P_2, [], cost: 1 5: f1549_0_search_LT -> f1944_0_displayChessboard_GE : arg1'=0, arg2'=arg2P_6, arg3'=arg3P_6, [], cost: 1 2: f1911_0_search_GE -> f1911_0_search_GE : arg2'=1+arg2, arg3'=arg3P_3, [], cost: 1 3: f1911_0_search_GE -> f1549_0_search_LT : arg1'=1+arg1, arg2'=arg2P_4, arg3'=arg3P_4, [ arg1>-1 ], cost: 1 4: f1911_0_search_GE -> f1911_0_search_GE : arg2'=1+arg2, arg3'=arg3P_5, [ arg1>-1 ], cost: 1 11: f1911_0_search_GE -> f1876_0_safeMove_GE : arg1'=1, arg2'=0, arg3'=arg1, [], cost: 1 6: f1944_0_displayChessboard_GE -> f2167_0_displayChessboard_GE : arg2'=0, arg3'=arg3P_7, [], cost: 1 7: f2167_0_displayChessboard_GE -> f1944_0_displayChessboard_GE : arg1'=1+arg1, arg2'=arg2P_8, arg3'=arg3P_8, [], cost: 1 8: f2167_0_displayChessboard_GE -> f2167_0_displayChessboard_GE : arg2'=1+arg2, arg3'=arg3P_9, [], cost: 1 9: f2167_0_displayChessboard_GE -> f2167_0_displayChessboard_GE : arg2'=1+arg2, arg3'=arg3P_10, [], cost: 1 10: f2167_0_displayChessboard_GE -> f2167_0_displayChessboard_GE : arg2'=1+arg2, arg3'=arg3P_11, [], cost: 1 12: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=1, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 13: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=0, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 14: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, [ arg3>arg2 && 0==arg1 ], cost: 1 15: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, arg3'=arg1, [ 1==arg3 ], cost: 1 16: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, [ 0==arg3 ], cost: 1 17: __init -> f1_0_main_Load : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 2. Accelerating the following rules: 2: f1911_0_search_GE -> f1911_0_search_GE : arg2'=1+arg2, arg3'=arg3P_3, [], cost: 1 4: f1911_0_search_GE -> f1911_0_search_GE : arg2'=1+arg2, arg3'=arg3P_5, [ arg1>-1 ], cost: 1 Accelerated rule 2 with non-termination, yielding the new rule 18. Accelerated rule 4 with non-termination, yielding the new rule 19. [accelerate] Nesting with 0 inner and 0 outer candidates Removing the simple loops: 2 4. Accelerating simple loops of location 4. Accelerating the following rules: 8: f2167_0_displayChessboard_GE -> f2167_0_displayChessboard_GE : arg2'=1+arg2, arg3'=arg3P_9, [], cost: 1 9: f2167_0_displayChessboard_GE -> f2167_0_displayChessboard_GE : arg2'=1+arg2, arg3'=arg3P_10, [], cost: 1 10: f2167_0_displayChessboard_GE -> f2167_0_displayChessboard_GE : arg2'=1+arg2, arg3'=arg3P_11, [], cost: 1 Accelerated rule 8 with non-termination, yielding the new rule 20. Accelerated rule 9 with non-termination, yielding the new rule 21. Accelerated rule 10 with non-termination, yielding the new rule 22. [accelerate] Nesting with 0 inner and 0 outer candidates Removing the simple loops: 8 9 10. Also removing duplicate rules: 20 21. Accelerating simple loops of location 5. Accelerating the following rules: 14: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, [ arg3>arg2 && 0==arg1 ], cost: 1 Accelerated rule 14 with backward acceleration, yielding the new rule 23. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 14. Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f1549_0_search_LT : arg1'=0, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg2>-1 ], cost: 1 1: f1549_0_search_LT -> f1911_0_search_GE : arg2'=0, arg3'=arg3P_2, [], cost: 1 5: f1549_0_search_LT -> f1944_0_displayChessboard_GE : arg1'=0, arg2'=arg2P_6, arg3'=arg3P_6, [], cost: 1 3: f1911_0_search_GE -> f1549_0_search_LT : arg1'=1+arg1, arg2'=arg2P_4, arg3'=arg3P_4, [ arg1>-1 ], cost: 1 11: f1911_0_search_GE -> f1876_0_safeMove_GE : arg1'=1, arg2'=0, arg3'=arg1, [], cost: 1 18: f1911_0_search_GE -> [8] : [], cost: NONTERM 19: f1911_0_search_GE -> [8] : [ arg1>-1 ], cost: NONTERM 6: f1944_0_displayChessboard_GE -> f2167_0_displayChessboard_GE : arg2'=0, arg3'=arg3P_7, [], cost: 1 7: f2167_0_displayChessboard_GE -> f1944_0_displayChessboard_GE : arg1'=1+arg1, arg2'=arg2P_8, arg3'=arg3P_8, [], cost: 1 22: f2167_0_displayChessboard_GE -> [9] : [], cost: NONTERM 12: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=1, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 13: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=0, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 23: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=0, arg2'=arg3, [ 0==arg1 && -arg2+arg3>=1 ], cost: -arg2+arg3 15: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, arg3'=arg1, [ 1==arg3 ], cost: 1 16: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, [ 0==arg3 ], cost: 1 17: __init -> f1_0_main_Load : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f1549_0_search_LT : arg1'=0, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1>0 && arg2>-1 ], cost: 1 1: f1549_0_search_LT -> f1911_0_search_GE : arg2'=0, arg3'=arg3P_2, [], cost: 1 5: f1549_0_search_LT -> f1944_0_displayChessboard_GE : arg1'=0, arg2'=arg2P_6, arg3'=arg3P_6, [], cost: 1 24: f1549_0_search_LT -> [8] : [], cost: NONTERM 25: f1549_0_search_LT -> [8] : [ arg1>-1 ], cost: NONTERM 3: f1911_0_search_GE -> f1549_0_search_LT : arg1'=1+arg1, arg2'=arg2P_4, arg3'=arg3P_4, [ arg1>-1 ], cost: 1 11: f1911_0_search_GE -> f1876_0_safeMove_GE : arg1'=1, arg2'=0, arg3'=arg1, [], cost: 1 6: f1944_0_displayChessboard_GE -> f2167_0_displayChessboard_GE : arg2'=0, arg3'=arg3P_7, [], cost: 1 26: f1944_0_displayChessboard_GE -> [9] : [], cost: NONTERM 7: f2167_0_displayChessboard_GE -> f1944_0_displayChessboard_GE : arg1'=1+arg1, arg2'=arg2P_8, arg3'=arg3P_8, [], cost: 1 12: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=1, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 13: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=0, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 15: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, arg3'=arg1, [ 1==arg3 ], cost: 1 16: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, [ 0==arg3 ], cost: 1 27: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=0, arg2'=arg1, arg3'=arg1, [ 1==arg3 && -1-arg2+arg1>=1 ], cost: -arg2+arg1 17: __init -> f1_0_main_Load : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, [], cost: 1 Eliminated locations (on linear paths): Start location: __init 1: f1549_0_search_LT -> f1911_0_search_GE : arg2'=0, arg3'=arg3P_2, [], cost: 1 5: f1549_0_search_LT -> f1944_0_displayChessboard_GE : arg1'=0, arg2'=arg2P_6, arg3'=arg3P_6, [], cost: 1 24: f1549_0_search_LT -> [8] : [], cost: NONTERM 25: f1549_0_search_LT -> [8] : [ arg1>-1 ], cost: NONTERM 3: f1911_0_search_GE -> f1549_0_search_LT : arg1'=1+arg1, arg2'=arg2P_4, arg3'=arg3P_4, [ arg1>-1 ], cost: 1 11: f1911_0_search_GE -> f1876_0_safeMove_GE : arg1'=1, arg2'=0, arg3'=arg1, [], cost: 1 26: f1944_0_displayChessboard_GE -> [9] : [], cost: NONTERM 29: f1944_0_displayChessboard_GE -> f1944_0_displayChessboard_GE : arg1'=1+arg1, arg2'=arg2P_8, arg3'=arg3P_8, [], cost: 2 12: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=1, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 13: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=0, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 15: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, arg3'=arg1, [ 1==arg3 ], cost: 1 16: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, [ 0==arg3 ], cost: 1 27: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=0, arg2'=arg1, arg3'=arg1, [ 1==arg3 && -1-arg2+arg1>=1 ], cost: -arg2+arg1 28: __init -> f1549_0_search_LT : arg1'=0, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_18>0 && arg2P_18>-1 ], cost: 2 Accelerating simple loops of location 3. Accelerating the following rules: 29: f1944_0_displayChessboard_GE -> f1944_0_displayChessboard_GE : arg1'=1+arg1, arg2'=arg2P_8, arg3'=arg3P_8, [], cost: 2 Accelerated rule 29 with non-termination, yielding the new rule 30. [accelerate] Nesting with 0 inner and 0 outer candidates Removing the simple loops: 29. Accelerated all simple loops using metering functions (where possible): Start location: __init 1: f1549_0_search_LT -> f1911_0_search_GE : arg2'=0, arg3'=arg3P_2, [], cost: 1 5: f1549_0_search_LT -> f1944_0_displayChessboard_GE : arg1'=0, arg2'=arg2P_6, arg3'=arg3P_6, [], cost: 1 24: f1549_0_search_LT -> [8] : [], cost: NONTERM 25: f1549_0_search_LT -> [8] : [ arg1>-1 ], cost: NONTERM 3: f1911_0_search_GE -> f1549_0_search_LT : arg1'=1+arg1, arg2'=arg2P_4, arg3'=arg3P_4, [ arg1>-1 ], cost: 1 11: f1911_0_search_GE -> f1876_0_safeMove_GE : arg1'=1, arg2'=0, arg3'=arg1, [], cost: 1 26: f1944_0_displayChessboard_GE -> [9] : [], cost: NONTERM 30: f1944_0_displayChessboard_GE -> [11] : [], cost: NONTERM 12: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=1, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 13: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=0, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 15: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, arg3'=arg1, [ 1==arg3 ], cost: 1 16: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, [ 0==arg3 ], cost: 1 27: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=0, arg2'=arg1, arg3'=arg1, [ 1==arg3 && -1-arg2+arg1>=1 ], cost: -arg2+arg1 28: __init -> f1549_0_search_LT : arg1'=0, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_18>0 && arg2P_18>-1 ], cost: 2 Chained accelerated rules (with incoming rules): Start location: __init 1: f1549_0_search_LT -> f1911_0_search_GE : arg2'=0, arg3'=arg3P_2, [], cost: 1 5: f1549_0_search_LT -> f1944_0_displayChessboard_GE : arg1'=0, arg2'=arg2P_6, arg3'=arg3P_6, [], cost: 1 24: f1549_0_search_LT -> [8] : [], cost: NONTERM 25: f1549_0_search_LT -> [8] : [ arg1>-1 ], cost: NONTERM 31: f1549_0_search_LT -> [11] : [], cost: NONTERM 3: f1911_0_search_GE -> f1549_0_search_LT : arg1'=1+arg1, arg2'=arg2P_4, arg3'=arg3P_4, [ arg1>-1 ], cost: 1 11: f1911_0_search_GE -> f1876_0_safeMove_GE : arg1'=1, arg2'=0, arg3'=arg1, [], cost: 1 26: f1944_0_displayChessboard_GE -> [9] : [], cost: NONTERM 12: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=1, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 13: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=0, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 15: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, arg3'=arg1, [ 1==arg3 ], cost: 1 16: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, [ 0==arg3 ], cost: 1 27: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=0, arg2'=arg1, arg3'=arg1, [ 1==arg3 && -1-arg2+arg1>=1 ], cost: -arg2+arg1 28: __init -> f1549_0_search_LT : arg1'=0, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_18>0 && arg2P_18>-1 ], cost: 2 Eliminated locations (on linear paths): Start location: __init 1: f1549_0_search_LT -> f1911_0_search_GE : arg2'=0, arg3'=arg3P_2, [], cost: 1 24: f1549_0_search_LT -> [8] : [], cost: NONTERM 25: f1549_0_search_LT -> [8] : [ arg1>-1 ], cost: NONTERM 31: f1549_0_search_LT -> [11] : [], cost: NONTERM 32: f1549_0_search_LT -> [9] : [], cost: NONTERM 3: f1911_0_search_GE -> f1549_0_search_LT : arg1'=1+arg1, arg2'=arg2P_4, arg3'=arg3P_4, [ arg1>-1 ], cost: 1 11: f1911_0_search_GE -> f1876_0_safeMove_GE : arg1'=1, arg2'=0, arg3'=arg1, [], cost: 1 12: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=1, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 13: f1876_0_safeMove_GE -> f1969_0_safeMove_NE : arg1'=arg3, arg3'=0, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 1 15: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, arg3'=arg1, [ 1==arg3 ], cost: 1 16: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=1, arg2'=1+arg2, arg3'=arg1, [ 0==arg3 ], cost: 1 27: f1969_0_safeMove_NE -> f1876_0_safeMove_GE : arg1'=0, arg2'=arg1, arg3'=arg1, [ 1==arg3 && -1-arg2+arg1>=1 ], cost: -arg2+arg1 28: __init -> f1549_0_search_LT : arg1'=0, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_18>0 && arg2P_18>-1 ], cost: 2 Eliminated locations (on tree-shaped paths): Start location: __init 24: f1549_0_search_LT -> [8] : [], cost: NONTERM 25: f1549_0_search_LT -> [8] : [ arg1>-1 ], cost: NONTERM 31: f1549_0_search_LT -> [11] : [], cost: NONTERM 32: f1549_0_search_LT -> [9] : [], cost: NONTERM 33: f1549_0_search_LT -> f1549_0_search_LT : arg1'=1+arg1, arg2'=arg2P_4, arg3'=arg3P_4, [ arg1>-1 ], cost: 2 34: f1549_0_search_LT -> f1876_0_safeMove_GE : arg1'=1, arg2'=0, arg3'=arg1, [], cost: 2 35: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, arg3'=arg3, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 2 36: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=0, arg2'=arg3, arg3'=arg3, [ arg3>0 && arg1>0 && -1-arg2+arg3>=1 ], cost: 1-arg2+arg3 37: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=1, arg2'=1+arg2, arg3'=arg3, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 2 28: __init -> f1549_0_search_LT : arg1'=0, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_18>0 && arg2P_18>-1 ], cost: 2 Merged rules: Start location: __init 31: f1549_0_search_LT -> [11] : [], cost: NONTERM 32: f1549_0_search_LT -> [9] : [], cost: NONTERM 33: f1549_0_search_LT -> f1549_0_search_LT : arg1'=1+arg1, arg2'=arg2P_4, arg3'=arg3P_4, [ arg1>-1 ], cost: 2 34: f1549_0_search_LT -> f1876_0_safeMove_GE : arg1'=1, arg2'=0, arg3'=arg1, [], cost: 2 38: f1549_0_search_LT -> [8] : [], cost: NONTERM 35: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, arg3'=arg3, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 2 36: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=0, arg2'=arg3, arg3'=arg3, [ arg3>0 && arg1>0 && -1-arg2+arg3>=1 ], cost: 1-arg2+arg3 37: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=1, arg2'=1+arg2, arg3'=arg3, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 2 28: __init -> f1549_0_search_LT : arg1'=0, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_18>0 && arg2P_18>-1 ], cost: 2 Accelerating simple loops of location 1. Accelerating the following rules: 33: f1549_0_search_LT -> f1549_0_search_LT : arg1'=1+arg1, arg2'=arg2P_4, arg3'=arg3P_4, [ arg1>-1 ], cost: 2 Accelerated rule 33 with non-termination, yielding the new rule 39. [accelerate] Nesting with 0 inner and 0 outer candidates Removing the simple loops: 33. Accelerating simple loops of location 5. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 35: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 2 36: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=0, arg2'=arg3, [ arg3>0 && arg1>0 && -1-arg2+arg3>=1 ], cost: 1-arg2+arg3 37: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=1, arg2'=1+arg2, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 2 Failed to prove monotonicity of the guard of rule 35. Failed to prove monotonicity of the guard of rule 36. Accelerated rule 37 with backward acceleration, yielding the new rule 40. [accelerate] Nesting with 3 inner and 3 outer candidates Removing the simple loops: 37. Accelerated all simple loops using metering functions (where possible): Start location: __init 31: f1549_0_search_LT -> [11] : [], cost: NONTERM 32: f1549_0_search_LT -> [9] : [], cost: NONTERM 34: f1549_0_search_LT -> f1876_0_safeMove_GE : arg1'=1, arg2'=0, arg3'=arg1, [], cost: 2 38: f1549_0_search_LT -> [8] : [], cost: NONTERM 39: f1549_0_search_LT -> [12] : [ arg1>-1 ], cost: NONTERM 35: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=0, arg2'=1+arg2, [ arg3>0 && arg1>0 && arg3>arg2 ], cost: 2 36: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=0, arg2'=arg3, [ arg3>0 && arg1>0 && -1-arg2+arg3>=1 ], cost: 1-arg2+arg3 40: f1876_0_safeMove_GE -> f1876_0_safeMove_GE : arg1'=1, arg2'=arg3, [ arg3>0 && arg1>0 && -arg2+arg3>=1 ], cost: -2*arg2+2*arg3 28: __init -> f1549_0_search_LT : arg1'=0, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_18>0 && arg2P_18>-1 ], cost: 2 Chained accelerated rules (with incoming rules): Start location: __init 31: f1549_0_search_LT -> [11] : [], cost: NONTERM 32: f1549_0_search_LT -> [9] : [], cost: NONTERM 34: f1549_0_search_LT -> f1876_0_safeMove_GE : arg1'=1, arg2'=0, arg3'=arg1, [], cost: 2 38: f1549_0_search_LT -> [8] : [], cost: NONTERM 42: f1549_0_search_LT -> f1876_0_safeMove_GE : arg1'=0, arg2'=1, arg3'=arg1, [ arg1>0 ], cost: 4 43: f1549_0_search_LT -> f1876_0_safeMove_GE : arg1'=0, arg2'=arg1, arg3'=arg1, [ -1+arg1>=1 ], cost: 3+arg1 44: f1549_0_search_LT -> f1876_0_safeMove_GE : arg1'=1, arg2'=arg1, arg3'=arg1, [ arg1>0 ], cost: 2+2*arg1 28: __init -> f1549_0_search_LT : arg1'=0, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_18>0 && arg2P_18>-1 ], cost: 2 41: __init -> [12] : [], cost: NONTERM Removed unreachable locations (and leaf rules with constant cost): Start location: __init 31: f1549_0_search_LT -> [11] : [], cost: NONTERM 32: f1549_0_search_LT -> [9] : [], cost: NONTERM 38: f1549_0_search_LT -> [8] : [], cost: NONTERM 43: f1549_0_search_LT -> f1876_0_safeMove_GE : arg1'=0, arg2'=arg1, arg3'=arg1, [ -1+arg1>=1 ], cost: 3+arg1 44: f1549_0_search_LT -> f1876_0_safeMove_GE : arg1'=1, arg2'=arg1, arg3'=arg1, [ arg1>0 ], cost: 2+2*arg1 28: __init -> f1549_0_search_LT : arg1'=0, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_18>0 && arg2P_18>-1 ], cost: 2 41: __init -> [12] : [], cost: NONTERM Eliminated locations (on tree-shaped paths): Start location: __init 41: __init -> [12] : [], cost: NONTERM 45: __init -> [11] : [ arg1P_18>0 && arg2P_18>-1 ], cost: NONTERM 46: __init -> [9] : [ arg1P_18>0 && arg2P_18>-1 ], cost: NONTERM 47: __init -> [8] : [ arg1P_18>0 && arg2P_18>-1 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 41: __init -> [12] : [], cost: NONTERM 47: __init -> [8] : [ arg1P_18>0 && arg2P_18>-1 ], cost: NONTERM Computing asymptotic complexity for rule 41 Guard is satisfiable, yielding nontermination Resulting cost NONTERM has complexity: Nonterm Found new complexity Nonterm. Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: [] NO