NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f93_0_mk_Return -> f148_0_main_InvokeMethod : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, [ arg1P_1<=arg1 && arg2>-1 && arg1>0 && arg1P_1>0 && arg2==arg2P_1 ], cost: 1 2: f148_0_main_InvokeMethod -> f341_0_main_GE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>-1 && 0==arg1P_3 ], cost: 1 7: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, [ arg1>0 && -1+arg2==arg1P_8 && arg2==arg2P_8 ], cost: 1 8: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, [ arg1>0 && arg2>-1 && -1+arg2==arg1P_9 && arg2==arg2P_9 ], cost: 1 1: f1_0_main_ConstantStackPush -> f148_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, [ arg1P_2<=arg1 && arg2>-1 && arg1>0 && arg1P_2>0 && arg2==arg2P_2 ], cost: 1 6: f1_0_main_ConstantStackPush -> f165_0_mk_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, [ arg1>0 && arg2>-1 && -1+arg2==arg1P_7 && arg2==arg2P_7 ], cost: 1 3: f341_0_main_GE -> f475_0_main_GE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, [ arg1<3 && arg1==arg1P_4 && 0==arg2P_4 ], cost: 1 10: f341_0_main_GE -> f291_0_length_NULL : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, [ arg1P_11>-1 && arg2P_11>-1 && arg1<3 ], cost: 1 4: f475_0_main_GE -> f341_0_main_GE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, [ arg3<=arg2 && 1+arg1==arg1P_5 ], cost: 1 5: f475_0_main_GE -> f475_0_main_GE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, [ arg3>0 && arg1<3 && arg3>arg2 && arg1==arg1P_6 && 1+arg2==arg2P_6 && arg3==arg3P_6 ], cost: 1 12: f475_0_main_GE -> f541_0_bubble_NULL : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, [ arg3>0 && arg3>arg2 && arg1<3 && arg2P_13>-1 && arg1P_13>-1 ], cost: 1 9: f165_0_mk_LE -> f165_0_mk_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, [ arg2>0 && -1+arg1==arg1P_10 && arg1==arg2P_10 ], cost: 1 11: f291_0_length_NULL -> f291_0_length_NULL : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, [ 1+arg1P_12<=arg1 && 1+arg1P_12<=arg2 && 1+arg2P_12<=arg1 && 1+arg2P_12<=arg2 && arg1>0 && arg2>0 && arg1P_12>-1 && arg2P_12>-1 ], cost: 1 13: f541_0_bubble_NULL -> f541_0_bubble_NULL : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, [ 2+arg1P_14<=arg1 && x41_1>=x40_1 && 2+arg1P_14<=arg2 && 2+arg2P_14<=arg1 && 2+arg2P_14<=arg2 && arg1>2 && arg2>2 && arg1P_14>0 && arg2P_14>0 ], cost: 1 14: f541_0_bubble_NULL -> f541_0_bubble_NULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1P_15<=arg1 && x47_12 && arg2>2 && arg1P_15>0 && arg2P_15>0 ], cost: 1 15: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 15: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [], cost: 1 Removed unreachable and leaf rules: Start location: __init 2: f148_0_main_InvokeMethod -> f341_0_main_GE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>-1 && 0==arg1P_3 ], cost: 1 7: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, [ arg1>0 && -1+arg2==arg1P_8 && arg2==arg2P_8 ], cost: 1 8: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, [ arg1>0 && arg2>-1 && -1+arg2==arg1P_9 && arg2==arg2P_9 ], cost: 1 1: f1_0_main_ConstantStackPush -> f148_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, [ arg1P_2<=arg1 && arg2>-1 && arg1>0 && arg1P_2>0 && arg2==arg2P_2 ], cost: 1 6: f1_0_main_ConstantStackPush -> f165_0_mk_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, [ arg1>0 && arg2>-1 && -1+arg2==arg1P_7 && arg2==arg2P_7 ], cost: 1 3: f341_0_main_GE -> f475_0_main_GE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, [ arg1<3 && arg1==arg1P_4 && 0==arg2P_4 ], cost: 1 10: f341_0_main_GE -> f291_0_length_NULL : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, [ arg1P_11>-1 && arg2P_11>-1 && arg1<3 ], cost: 1 4: f475_0_main_GE -> f341_0_main_GE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, [ arg3<=arg2 && 1+arg1==arg1P_5 ], cost: 1 5: f475_0_main_GE -> f475_0_main_GE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, [ arg3>0 && arg1<3 && arg3>arg2 && arg1==arg1P_6 && 1+arg2==arg2P_6 && arg3==arg3P_6 ], cost: 1 12: f475_0_main_GE -> f541_0_bubble_NULL : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, [ arg3>0 && arg3>arg2 && arg1<3 && arg2P_13>-1 && arg1P_13>-1 ], cost: 1 9: f165_0_mk_LE -> f165_0_mk_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, [ arg2>0 && -1+arg1==arg1P_10 && arg1==arg2P_10 ], cost: 1 11: f291_0_length_NULL -> f291_0_length_NULL : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, [ 1+arg1P_12<=arg1 && 1+arg1P_12<=arg2 && 1+arg2P_12<=arg1 && 1+arg2P_12<=arg2 && arg1>0 && arg2>0 && arg1P_12>-1 && arg2P_12>-1 ], cost: 1 13: f541_0_bubble_NULL -> f541_0_bubble_NULL : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, [ 2+arg1P_14<=arg1 && x41_1>=x40_1 && 2+arg1P_14<=arg2 && 2+arg2P_14<=arg1 && 2+arg2P_14<=arg2 && arg1>2 && arg2>2 && arg1P_14>0 && arg2P_14>0 ], cost: 1 14: f541_0_bubble_NULL -> f541_0_bubble_NULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1P_15<=arg1 && x47_12 && arg2>2 && arg1P_15>0 && arg2P_15>0 ], cost: 1 15: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [], cost: 1 Simplified all rules, resulting in: Start location: __init 2: f148_0_main_InvokeMethod -> f341_0_main_GE : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>-1 ], cost: 1 7: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1+arg2, arg3'=arg3P_8, [ arg1>0 ], cost: 1 8: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1+arg2, arg3'=arg3P_9, [ arg1>0 && arg2>-1 ], cost: 1 1: f1_0_main_ConstantStackPush -> f148_0_main_InvokeMethod : arg1'=arg1P_2, arg3'=arg3P_2, [ arg1P_2<=arg1 && arg2>-1 && arg1>0 && arg1P_2>0 ], cost: 1 6: f1_0_main_ConstantStackPush -> f165_0_mk_LE : arg1'=-1+arg2, arg3'=arg3P_7, [ arg1>0 && arg2>-1 ], cost: 1 3: f341_0_main_GE -> f475_0_main_GE : arg2'=0, arg3'=arg3P_4, [ arg1<3 ], cost: 1 10: f341_0_main_GE -> f291_0_length_NULL : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, [ arg1P_11>-1 && arg2P_11>-1 && arg1<3 ], cost: 1 4: f475_0_main_GE -> f341_0_main_GE : arg1'=1+arg1, arg2'=arg2P_5, arg3'=arg3P_5, [ arg3<=arg2 ], cost: 1 5: f475_0_main_GE -> f475_0_main_GE : arg2'=1+arg2, [ arg3>0 && arg1<3 && arg3>arg2 ], cost: 1 12: f475_0_main_GE -> f541_0_bubble_NULL : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, [ arg3>0 && arg3>arg2 && arg1<3 && arg2P_13>-1 && arg1P_13>-1 ], cost: 1 9: f165_0_mk_LE -> f165_0_mk_LE : arg1'=-1+arg1, arg2'=arg1, arg3'=arg3P_10, [ arg2>0 ], cost: 1 11: f291_0_length_NULL -> f291_0_length_NULL : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, [ 1+arg1P_12<=arg1 && 1+arg1P_12<=arg2 && 1+arg2P_12<=arg1 && 1+arg2P_12<=arg2 && arg1>0 && arg2>0 && arg1P_12>-1 && arg2P_12>-1 ], cost: 1 13: f541_0_bubble_NULL -> f541_0_bubble_NULL : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, [ 2+arg1P_14<=arg1 && 2+arg1P_14<=arg2 && 2+arg2P_14<=arg1 && 2+arg2P_14<=arg2 && arg1>2 && arg2>2 && arg1P_14>0 && arg2P_14>0 ], cost: 1 14: f541_0_bubble_NULL -> f541_0_bubble_NULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1P_15<=arg1 && arg1P_15<=arg2 && arg2P_15<=arg1 && arg2P_15<=arg2 && arg1>2 && arg2>2 && arg1P_15>0 && arg2P_15>0 ], cost: 1 15: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 4. Accelerating the following rules: 5: f475_0_main_GE -> f475_0_main_GE : arg2'=1+arg2, [ arg3>0 && arg1<3 && arg3>arg2 ], cost: 1 Accelerated rule 5 with backward acceleration, yielding the new rule 16. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 5. Accelerating simple loops of location 5. Accelerating the following rules: 9: f165_0_mk_LE -> f165_0_mk_LE : arg1'=-1+arg1, arg2'=arg1, arg3'=arg3P_10, [ arg2>0 ], cost: 1 [test] deduced invariant 1-arg2+arg1<=0 Accelerated rule 9 with backward acceleration, yielding the new rule 17. [accelerate] Nesting with 1 inner and 1 outer candidates Accelerating simple loops of location 6. Accelerating the following rules: 11: f291_0_length_NULL -> f291_0_length_NULL : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, [ 1+arg1P_12<=arg1 && 1+arg1P_12<=arg2 && 1+arg2P_12<=arg1 && 1+arg2P_12<=arg2 && arg1>0 && arg2>0 && arg1P_12>-1 && arg2P_12>-1 ], cost: 1 Failed to prove monotonicity of the guard of rule 11. [accelerate] Nesting with 1 inner and 1 outer candidates Accelerating simple loops of location 7. Accelerating the following rules: 13: f541_0_bubble_NULL -> f541_0_bubble_NULL : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, [ 2+arg1P_14<=arg1 && 2+arg1P_14<=arg2 && 2+arg2P_14<=arg1 && 2+arg2P_14<=arg2 && arg1>2 && arg2>2 && arg1P_14>0 && arg2P_14>0 ], cost: 1 14: f541_0_bubble_NULL -> f541_0_bubble_NULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1P_15<=arg1 && arg1P_15<=arg2 && arg2P_15<=arg1 && arg2P_15<=arg2 && arg1>2 && arg2>2 && arg1P_15>0 && arg2P_15>0 ], cost: 1 Failed to prove monotonicity of the guard of rule 13. Accelerated rule 14 with non-termination, yielding the new rule 18. Accelerated rule 14 with backward acceleration, yielding the new rule 19. [accelerate] Nesting with 2 inner and 1 outer candidates Removing the simple loops: 14. Accelerated all simple loops using metering functions (where possible): Start location: __init 2: f148_0_main_InvokeMethod -> f341_0_main_GE : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>-1 ], cost: 1 7: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1+arg2, arg3'=arg3P_8, [ arg1>0 ], cost: 1 8: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1+arg2, arg3'=arg3P_9, [ arg1>0 && arg2>-1 ], cost: 1 1: f1_0_main_ConstantStackPush -> f148_0_main_InvokeMethod : arg1'=arg1P_2, arg3'=arg3P_2, [ arg1P_2<=arg1 && arg2>-1 && arg1>0 && arg1P_2>0 ], cost: 1 6: f1_0_main_ConstantStackPush -> f165_0_mk_LE : arg1'=-1+arg2, arg3'=arg3P_7, [ arg1>0 && arg2>-1 ], cost: 1 3: f341_0_main_GE -> f475_0_main_GE : arg2'=0, arg3'=arg3P_4, [ arg1<3 ], cost: 1 10: f341_0_main_GE -> f291_0_length_NULL : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, [ arg1P_11>-1 && arg2P_11>-1 && arg1<3 ], cost: 1 4: f475_0_main_GE -> f341_0_main_GE : arg1'=1+arg1, arg2'=arg2P_5, arg3'=arg3P_5, [ arg3<=arg2 ], cost: 1 12: f475_0_main_GE -> f541_0_bubble_NULL : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, [ arg3>0 && arg3>arg2 && arg1<3 && arg2P_13>-1 && arg1P_13>-1 ], cost: 1 16: f475_0_main_GE -> f475_0_main_GE : arg2'=arg3, [ arg3>0 && arg1<3 && -arg2+arg3>=0 ], cost: -arg2+arg3 9: f165_0_mk_LE -> f165_0_mk_LE : arg1'=-1+arg1, arg2'=arg1, arg3'=arg3P_10, [ arg2>0 ], cost: 1 17: f165_0_mk_LE -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ 1-arg2+arg1<=0 && 1+arg1>=1 ], cost: 1+arg1 11: f291_0_length_NULL -> f291_0_length_NULL : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, [ 1+arg1P_12<=arg1 && 1+arg1P_12<=arg2 && 1+arg2P_12<=arg1 && 1+arg2P_12<=arg2 && arg1>0 && arg2>0 && arg1P_12>-1 && arg2P_12>-1 ], cost: 1 13: f541_0_bubble_NULL -> f541_0_bubble_NULL : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, [ 2+arg1P_14<=arg1 && 2+arg1P_14<=arg2 && 2+arg2P_14<=arg1 && 2+arg2P_14<=arg2 && arg1>2 && arg2>2 && arg1P_14>0 && arg2P_14>0 ], cost: 1 18: f541_0_bubble_NULL -> [12] : [ arg1P_15<=arg1 && arg1P_15<=arg2 && arg2P_15<=arg1 && arg2P_15<=arg2 && arg1>2 && arg2>2 && arg1P_15<=arg2P_15 && arg2P_15<=arg1P_15 && arg1P_15>2 && arg2P_15>2 ], cost: NONTERM 19: f541_0_bubble_NULL -> f541_0_bubble_NULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1P_15<=arg1 && arg2P_15<=arg2 && k_5>=1 && arg1P_15<=arg2P_15 && arg2P_15<=arg1P_15 && arg1P_15>2 && arg2P_15>2 ], cost: k_5 15: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 2: f148_0_main_InvokeMethod -> f341_0_main_GE : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>-1 ], cost: 1 7: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1+arg2, arg3'=arg3P_8, [ arg1>0 ], cost: 1 8: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1+arg2, arg3'=arg3P_9, [ arg1>0 && arg2>-1 ], cost: 1 22: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-2+arg2, arg2'=-1+arg2, arg3'=arg3P_10, [ arg1>0 && arg2>0 ], cost: 2 23: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-2+arg2, arg2'=-1+arg2, arg3'=arg3P_10, [ arg1>0 && arg2>0 ], cost: 2 25: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1>0 && arg2>=1 ], cost: 1+arg2 26: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1>0 && arg2>=1 ], cost: 1+arg2 1: f1_0_main_ConstantStackPush -> f148_0_main_InvokeMethod : arg1'=arg1P_2, arg3'=arg3P_2, [ arg1P_2<=arg1 && arg2>-1 && arg1>0 && arg1P_2>0 ], cost: 1 6: f1_0_main_ConstantStackPush -> f165_0_mk_LE : arg1'=-1+arg2, arg3'=arg3P_7, [ arg1>0 && arg2>-1 ], cost: 1 21: f1_0_main_ConstantStackPush -> f165_0_mk_LE : arg1'=-2+arg2, arg2'=-1+arg2, arg3'=arg3P_10, [ arg1>0 && arg2>0 ], cost: 2 24: f1_0_main_ConstantStackPush -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1>0 && arg2>=1 ], cost: 1+arg2 3: f341_0_main_GE -> f475_0_main_GE : arg2'=0, arg3'=arg3P_4, [ arg1<3 ], cost: 1 10: f341_0_main_GE -> f291_0_length_NULL : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, [ arg1P_11>-1 && arg2P_11>-1 && arg1<3 ], cost: 1 20: f341_0_main_GE -> f475_0_main_GE : arg2'=arg3P_4, arg3'=arg3P_4, [ arg1<3 && arg3P_4>0 ], cost: 1+arg3P_4 27: f341_0_main_GE -> f291_0_length_NULL : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, [ arg1<3 && arg1P_12>-1 && arg2P_12>-1 ], cost: 2 4: f475_0_main_GE -> f341_0_main_GE : arg1'=1+arg1, arg2'=arg2P_5, arg3'=arg3P_5, [ arg3<=arg2 ], cost: 1 12: f475_0_main_GE -> f541_0_bubble_NULL : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, [ arg3>0 && arg3>arg2 && arg1<3 && arg2P_13>-1 && arg1P_13>-1 ], cost: 1 28: f475_0_main_GE -> f541_0_bubble_NULL : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, [ arg3>0 && arg3>arg2 && arg1<3 && arg1P_14>0 && arg2P_14>0 ], cost: 2 29: f475_0_main_GE -> [12] : [ arg3>0 && arg3>arg2 && arg1<3 ], cost: NONTERM 30: f475_0_main_GE -> f541_0_bubble_NULL : arg1'=arg2P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg3>0 && arg3>arg2 && arg1<3 && k_5>=1 && arg2P_15>2 ], cost: 1+k_5 15: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 2: f148_0_main_InvokeMethod -> f341_0_main_GE : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>-1 ], cost: 1 25: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1>0 && arg2>=1 ], cost: 1+arg2 26: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1>0 && arg2>=1 ], cost: 1+arg2 1: f1_0_main_ConstantStackPush -> f148_0_main_InvokeMethod : arg1'=arg1P_2, arg3'=arg3P_2, [ arg1P_2<=arg1 && arg2>-1 && arg1>0 && arg1P_2>0 ], cost: 1 24: f1_0_main_ConstantStackPush -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1>0 && arg2>=1 ], cost: 1+arg2 3: f341_0_main_GE -> f475_0_main_GE : arg2'=0, arg3'=arg3P_4, [ arg1<3 ], cost: 1 20: f341_0_main_GE -> f475_0_main_GE : arg2'=arg3P_4, arg3'=arg3P_4, [ arg1<3 && arg3P_4>0 ], cost: 1+arg3P_4 4: f475_0_main_GE -> f341_0_main_GE : arg1'=1+arg1, arg2'=arg2P_5, arg3'=arg3P_5, [ arg3<=arg2 ], cost: 1 29: f475_0_main_GE -> [12] : [ arg3>0 && arg3>arg2 && arg1<3 ], cost: NONTERM 30: f475_0_main_GE -> f541_0_bubble_NULL : arg1'=arg2P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg3>0 && arg3>arg2 && arg1<3 && k_5>=1 && arg2P_15>2 ], cost: 1+k_5 15: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 2: f148_0_main_InvokeMethod -> f341_0_main_GE : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>-1 ], cost: 1 25: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1>0 && arg2>=1 ], cost: 1+arg2 26: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1>0 && arg2>=1 ], cost: 1+arg2 33: f341_0_main_GE -> f341_0_main_GE : arg1'=1+arg1, arg2'=arg2P_5, arg3'=arg3P_5, [ arg1<3 && arg3P_4<=0 ], cost: 2 34: f341_0_main_GE -> [12] : [ arg1<3 && arg3P_4>0 ], cost: NONTERM 35: f341_0_main_GE -> f541_0_bubble_NULL : arg1'=arg2P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1<3 && arg3P_4>0 && k_5>=1 && arg2P_15>2 ], cost: 2+k_5 36: f341_0_main_GE -> f341_0_main_GE : arg1'=1+arg1, arg2'=arg2P_5, arg3'=arg3P_5, [ arg1<3 && arg3P_4>0 ], cost: 2+arg3P_4 37: f341_0_main_GE -> [13] : [ arg1<3 && arg3P_4>0 ], cost: 1+arg3P_4 31: __init -> f148_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_16, arg3'=arg3P_2, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 ], cost: 2 32: __init -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1P_16>0 && arg2P_16>=1 ], cost: 2+arg2P_16 Merged rules: Start location: __init 2: f148_0_main_InvokeMethod -> f341_0_main_GE : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>-1 ], cost: 1 38: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1>0 && arg2>=1 ], cost: 1+arg2 33: f341_0_main_GE -> f341_0_main_GE : arg1'=1+arg1, arg2'=arg2P_5, arg3'=arg3P_5, [ arg1<3 && arg3P_4<=0 ], cost: 2 34: f341_0_main_GE -> [12] : [ arg1<3 && arg3P_4>0 ], cost: NONTERM 35: f341_0_main_GE -> f541_0_bubble_NULL : arg1'=arg2P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1<3 && arg3P_4>0 && k_5>=1 && arg2P_15>2 ], cost: 2+k_5 36: f341_0_main_GE -> f341_0_main_GE : arg1'=1+arg1, arg2'=arg2P_5, arg3'=arg3P_5, [ arg1<3 && arg3P_4>0 ], cost: 2+arg3P_4 37: f341_0_main_GE -> [13] : [ arg1<3 && arg3P_4>0 ], cost: 1+arg3P_4 31: __init -> f148_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_16, arg3'=arg3P_2, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 ], cost: 2 32: __init -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1P_16>0 && arg2P_16>=1 ], cost: 2+arg2P_16 Accelerating simple loops of location 3. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 33: f341_0_main_GE -> f341_0_main_GE : arg1'=1+arg1, arg2'=arg2P_5, arg3'=arg3P_5, [ arg1<3 ], cost: 2 36: f341_0_main_GE -> f341_0_main_GE : arg1'=1+arg1, arg2'=arg2P_5, arg3'=arg3P_5, [ arg1<3 && arg3P_4>0 ], cost: 2+arg3P_4 Accelerated rule 33 with backward acceleration, yielding the new rule 39. Accelerated rule 36 with backward acceleration, yielding the new rule 40. [accelerate] Nesting with 2 inner and 2 outer candidates Removing the simple loops: 33 36. Accelerated all simple loops using metering functions (where possible): Start location: __init 2: f148_0_main_InvokeMethod -> f341_0_main_GE : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>-1 ], cost: 1 38: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1>0 && arg2>=1 ], cost: 1+arg2 34: f341_0_main_GE -> [12] : [ arg1<3 && arg3P_4>0 ], cost: NONTERM 35: f341_0_main_GE -> f541_0_bubble_NULL : arg1'=arg2P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1<3 && arg3P_4>0 && k_5>=1 && arg2P_15>2 ], cost: 2+k_5 37: f341_0_main_GE -> [13] : [ arg1<3 && arg3P_4>0 ], cost: 1+arg3P_4 39: f341_0_main_GE -> f341_0_main_GE : arg1'=3, arg2'=arg2P_5, arg3'=arg3P_5, [ 3-arg1>=1 ], cost: 6-2*arg1 40: f341_0_main_GE -> f341_0_main_GE : arg1'=3, arg2'=arg2P_5, arg3'=arg3P_5, [ arg3P_4>0 && 3-arg1>=1 ], cost: 6-2*arg1-(-3+arg1)*arg3P_4 31: __init -> f148_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_16, arg3'=arg3P_2, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 ], cost: 2 32: __init -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1P_16>0 && arg2P_16>=1 ], cost: 2+arg2P_16 Chained accelerated rules (with incoming rules): Start location: __init 2: f148_0_main_InvokeMethod -> f341_0_main_GE : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1>0 && arg2>-1 ], cost: 1 38: f148_0_main_InvokeMethod -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1>0 && arg2>=1 ], cost: 1+arg2 41: f148_0_main_InvokeMethod -> f341_0_main_GE : arg1'=3, arg2'=arg2P_5, arg3'=arg3P_5, [ arg1>0 && arg2>-1 ], cost: 7 42: f148_0_main_InvokeMethod -> f341_0_main_GE : arg1'=3, arg2'=arg2P_5, arg3'=arg3P_5, [ arg1>0 && arg2>-1 && arg3P_4>0 ], cost: 7+3*arg3P_4 34: f341_0_main_GE -> [12] : [ arg1<3 && arg3P_4>0 ], cost: NONTERM 35: f341_0_main_GE -> f541_0_bubble_NULL : arg1'=arg2P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1<3 && arg3P_4>0 && k_5>=1 && arg2P_15>2 ], cost: 2+k_5 37: f341_0_main_GE -> [13] : [ arg1<3 && arg3P_4>0 ], cost: 1+arg3P_4 31: __init -> f148_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_16, arg3'=arg3P_2, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 ], cost: 2 32: __init -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1P_16>0 && arg2P_16>=1 ], cost: 2+arg2P_16 Eliminated locations (on tree-shaped paths): Start location: __init 34: f341_0_main_GE -> [12] : [ arg1<3 && arg3P_4>0 ], cost: NONTERM 35: f341_0_main_GE -> f541_0_bubble_NULL : arg1'=arg2P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1<3 && arg3P_4>0 && k_5>=1 && arg2P_15>2 ], cost: 2+k_5 37: f341_0_main_GE -> [13] : [ arg1<3 && arg3P_4>0 ], cost: 1+arg3P_4 32: __init -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1P_16>0 && arg2P_16>=1 ], cost: 2+arg2P_16 43: __init -> f341_0_main_GE : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 ], cost: 3 44: __init -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1P_2<=arg1P_16 && arg1P_16>0 && arg1P_2>0 && arg2P_16>=1 ], cost: 3+arg2P_16 45: __init -> f341_0_main_GE : arg1'=3, arg2'=arg2P_5, arg3'=arg3P_5, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 ], cost: 9 46: __init -> f341_0_main_GE : arg1'=3, arg2'=arg2P_5, arg3'=arg3P_5, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 && arg3P_4>0 ], cost: 9+3*arg3P_4 Merged rules: Start location: __init 34: f341_0_main_GE -> [12] : [ arg1<3 && arg3P_4>0 ], cost: NONTERM 35: f341_0_main_GE -> f541_0_bubble_NULL : arg1'=arg2P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1<3 && arg3P_4>0 && k_5>=1 && arg2P_15>2 ], cost: 2+k_5 37: f341_0_main_GE -> [13] : [ arg1<3 && arg3P_4>0 ], cost: 1+arg3P_4 43: __init -> f341_0_main_GE : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 ], cost: 3 45: __init -> f341_0_main_GE : arg1'=3, arg2'=arg2P_5, arg3'=arg3P_5, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 ], cost: 9 46: __init -> f341_0_main_GE : arg1'=3, arg2'=arg2P_5, arg3'=arg3P_5, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 && arg3P_4>0 ], cost: 9+3*arg3P_4 47: __init -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1P_16>0 && arg2P_16>=1 ], cost: 3+arg2P_16 Eliminated locations (on tree-shaped paths): Start location: __init 47: __init -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1P_16>0 && arg2P_16>=1 ], cost: 3+arg2P_16 48: __init -> [12] : [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 && arg3P_4>0 ], cost: NONTERM 49: __init -> f541_0_bubble_NULL : arg1'=arg2P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 && arg3P_4>0 && k_5>=1 && arg2P_15>2 ], cost: 5+k_5 50: __init -> [13] : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 && arg3P_4>0 ], cost: 4+arg3P_4 51: __init -> [15] : [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 && arg3P_4>0 ], cost: 9+3*arg3P_4 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 47: __init -> f165_0_mk_LE : arg1'=-1, arg2'=0, arg3'=arg3P_10, [ arg1P_16>0 && arg2P_16>=1 ], cost: 3+arg2P_16 48: __init -> [12] : [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 && arg3P_4>0 ], cost: NONTERM 49: __init -> f541_0_bubble_NULL : arg1'=arg2P_15, arg2'=arg2P_15, arg3'=arg3P_15, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 && arg3P_4>0 && k_5>=1 && arg2P_15>2 ], cost: 5+k_5 50: __init -> [13] : arg1'=0, arg2'=arg2P_3, arg3'=arg3P_3, [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 && arg3P_4>0 ], cost: 4+arg3P_4 51: __init -> [15] : [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 && arg3P_4>0 ], cost: 9+3*arg3P_4 Computing asymptotic complexity for rule 48 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: [ arg1P_2<=arg1P_16 && arg2P_16>-1 && arg1P_16>0 && arg1P_2>0 && arg3P_4>0 ] NO