WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f177_0_appendNewList_Return : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ x5_1>-1 && arg2>0 && arg1P_1<=arg1 && -7+arg2P_1<=arg1 && -5+arg3P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>7 && arg3P_1>5 && 0==arg4P_1 ], cost: 1 1: f1_0_main_Load -> f177_0_appendNewList_Return : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ x12_1>-1 && arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>8 && arg3P_2>6 ], cost: 1 4: f1_0_main_Load -> f415_0_main_InvokeMethod : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ x33_1>-1 && arg2>1 && x34_1>-1 && arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 8: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ x66_1>-1 && arg2>1 && x67_1>-1 && arg1P_9<=arg1 && arg1>0 && arg1P_9>0 && arg2P_9>6 ], cost: 1 10: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ x83_1>-1 && arg2>1 && x84_1>-1 && arg1P_11<=arg1 && -5+arg2P_11<=arg1 && arg1>0 && arg1P_11>0 && arg2P_11>5 ], cost: 1 11: f1_0_main_Load -> f343_0_appendNewList_GT : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, [ arg1P_12>-1 && arg2>0 && arg1>0 && 1==arg2P_12 ], cost: 1 14: f1_0_main_Load -> f343_0_appendNewList_GT : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ x106_1>-1 && arg2>1 && arg1P_15>-1 && arg1>0 && 2==arg2P_15 ], cost: 1 2: f177_0_appendNewList_Return -> f415_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ x19_1>-1 && x13_1>1 && arg1P_3<=arg1 && 7+arg1P_3<=arg2 && 5+arg1P_3<=arg3 && arg1>0 && arg2>7 && arg3>5 && arg1P_3>0 ], cost: 1 3: f177_0_appendNewList_Return -> f415_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ x26_1>arg4 && arg4>0 && x27_1>arg4 && x28_1>arg4 && x20_1>1 && x29_1>-1 && arg1P_4<=arg1 && 6+arg1P_4<=arg2 && 4+arg1P_4<=arg3 && arg1>0 && arg2>6 && arg3>4 && arg1P_4>0 ], cost: 1 5: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ x42_1>arg4 && arg4>0 && x43_1>arg4 && x44_1>arg4 && x35_1>1 && x45_1>-1 && arg1P_6<=arg1 && 6+arg1P_6<=arg2 && 4+arg1P_6<=arg3 && arg1>0 && arg2>6 && arg3>4 && arg1P_6>0 && arg2P_6>6 ], cost: 1 6: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ x53_1>-1 && x46_1>1 && arg1P_7<=arg1 && 7+arg1P_7<=arg2 && 5+arg1P_7<=arg3 && -5+arg2P_7<=arg1 && 2+arg2P_7<=arg2 && arg2P_7<=arg3 && arg1>0 && arg2>7 && arg3>5 && arg1P_7>0 && arg2P_7>5 ], cost: 1 7: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ x61_1>-1 && x54_1>1 && arg1P_8<=arg1 && 7+arg1P_8<=arg2 && 5+arg1P_8<=arg3 && arg1>0 && arg2>7 && arg3>5 && arg1P_8>0 && arg2P_8>6 ], cost: 1 9: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ x75_1>arg4 && arg4>0 && x76_1>arg4 && x77_1>arg4 && x68_1>1 && x78_1>-1 && arg1P_10<=arg1 && 6+arg1P_10<=arg2 && 4+arg1P_10<=arg3 && -5+arg2P_10<=arg1 && 1+arg2P_10<=arg2 && -1+arg2P_10<=arg3 && arg1>0 && arg2>6 && arg3>4 && arg1P_10>0 && arg2P_10>5 ], cost: 1 12: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ x94_1>arg4 && arg4>0 && x95_1>arg4 && x96_1>arg4 && x88_1>1 && arg1P_13>-1 && arg1>0 && arg2>6 && arg3>4 && 2==arg2P_13 ], cost: 1 13: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, [ arg1P_14>-1 && x97_1>1 && arg1>0 && arg2>7 && arg3>5 && 2==arg2P_14 ], cost: 1 16: f415_0_main_InvokeMethod -> f519_0_length_NONNULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, [ -3+arg1P_17<=arg1 && x110_1>1 && -1+arg2P_17<=arg1 && arg1>0 && arg1P_17>3 && arg2P_17>1 ], cost: 1 17: f480_0_main_InvokeMethod -> f519_0_length_NONNULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, arg4'=arg4P_18, [ arg1P_18<=arg2 && x114_1>1 && 2+arg2P_18<=arg2 && arg1>0 && arg2>4 && arg1P_18>4 && arg2P_18>2 ], cost: 1 15: f343_0_appendNewList_GT -> f343_0_appendNewList_GT : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, [ -1+arg10 && arg1>1 && -1+arg1==arg1P_16 && arg2==arg2P_16 ], cost: 1 18: f519_0_length_NONNULL -> f519_0_length_NONNULL : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, arg4'=arg4P_19, [ 2+arg1P_19<=arg1 && arg1P_19<=arg2 && 3+arg2P_19<=arg1 && 1+arg2P_19<=arg2 && arg1>2 && arg2>0 && arg1P_19>0 && arg2P_19>-1 ], cost: 1 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f177_0_appendNewList_Return : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=0, [ arg2>0 && arg1P_1<=arg1 && -7+arg2P_1<=arg1 && -5+arg3P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>7 && arg3P_1>5 ], cost: 1 1: f1_0_main_Load -> f177_0_appendNewList_Return : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>8 && arg3P_2>6 ], cost: 1 4: f1_0_main_Load -> f415_0_main_InvokeMethod : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg2>1 && arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 8: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg2>1 && arg1P_9<=arg1 && arg1>0 && arg1P_9>0 && arg2P_9>6 ], cost: 1 10: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ arg2>1 && arg1P_11<=arg1 && -5+arg2P_11<=arg1 && arg1>0 && arg1P_11>0 && arg2P_11>5 ], cost: 1 11: f1_0_main_Load -> f343_0_appendNewList_GT : arg1'=arg1P_12, arg2'=1, arg3'=arg3P_12, arg4'=arg4P_12, [ arg1P_12>-1 && arg2>0 && arg1>0 ], cost: 1 14: f1_0_main_Load -> f343_0_appendNewList_GT : arg1'=arg1P_15, arg2'=2, arg3'=arg3P_15, arg4'=arg4P_15, [ arg2>1 && arg1P_15>-1 && arg1>0 ], cost: 1 2: f177_0_appendNewList_Return -> f415_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3<=arg1 && 7+arg1P_3<=arg2 && 5+arg1P_3<=arg3 && arg1>0 && arg2>7 && arg3>5 && arg1P_3>0 ], cost: 1 3: f177_0_appendNewList_Return -> f415_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg4>0 && arg1P_4<=arg1 && 6+arg1P_4<=arg2 && 4+arg1P_4<=arg3 && arg1>0 && arg2>6 && arg3>4 && arg1P_4>0 ], cost: 1 5: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg4>0 && arg1P_6<=arg1 && 6+arg1P_6<=arg2 && 4+arg1P_6<=arg3 && arg1>0 && arg2>6 && arg3>4 && arg1P_6>0 && arg2P_6>6 ], cost: 1 6: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_7<=arg1 && 7+arg1P_7<=arg2 && 5+arg1P_7<=arg3 && -5+arg2P_7<=arg1 && 2+arg2P_7<=arg2 && arg2P_7<=arg3 && arg1>0 && arg2>7 && arg3>5 && arg1P_7>0 && arg2P_7>5 ], cost: 1 7: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ arg1P_8<=arg1 && 7+arg1P_8<=arg2 && 5+arg1P_8<=arg3 && arg1>0 && arg2>7 && arg3>5 && arg1P_8>0 && arg2P_8>6 ], cost: 1 9: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg4>0 && arg1P_10<=arg1 && 6+arg1P_10<=arg2 && 4+arg1P_10<=arg3 && -5+arg2P_10<=arg1 && 1+arg2P_10<=arg2 && -1+arg2P_10<=arg3 && arg1>0 && arg2>6 && arg3>4 && arg1P_10>0 && arg2P_10>5 ], cost: 1 12: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=arg1P_13, arg2'=2, arg3'=arg3P_13, arg4'=arg4P_13, [ arg4>0 && arg1P_13>-1 && arg1>0 && arg2>6 && arg3>4 ], cost: 1 13: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=arg1P_14, arg2'=2, arg3'=arg3P_14, arg4'=arg4P_14, [ arg1P_14>-1 && arg1>0 && arg2>7 && arg3>5 ], cost: 1 16: f415_0_main_InvokeMethod -> f519_0_length_NONNULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, [ -3+arg1P_17<=arg1 && -1+arg2P_17<=arg1 && arg1>0 && arg1P_17>3 && arg2P_17>1 ], cost: 1 17: f480_0_main_InvokeMethod -> f519_0_length_NONNULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, arg4'=arg4P_18, [ arg1P_18<=arg2 && 2+arg2P_18<=arg2 && arg1>0 && arg2>4 && arg1P_18>4 && arg2P_18>2 ], cost: 1 15: f343_0_appendNewList_GT -> f343_0_appendNewList_GT : arg1'=-1+arg1, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2>0 && arg1>1 ], cost: 1 18: f519_0_length_NONNULL -> f519_0_length_NONNULL : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, arg4'=arg4P_19, [ 2+arg1P_19<=arg1 && arg1P_19<=arg2 && 3+arg2P_19<=arg1 && 1+arg2P_19<=arg2 && arg1>2 && arg2>0 && arg1P_19>0 && arg2P_19>-1 ], cost: 1 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 4. Accelerating the following rules: 15: f343_0_appendNewList_GT -> f343_0_appendNewList_GT : arg1'=-1+arg1, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2>0 && arg1>1 ], cost: 1 Accelerated rule 15 with backward acceleration, yielding the new rule 20. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 15. Accelerating simple loops of location 5. Accelerating the following rules: 18: f519_0_length_NONNULL -> f519_0_length_NONNULL : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, arg4'=arg4P_19, [ 2+arg1P_19<=arg1 && arg1P_19<=arg2 && 3+arg2P_19<=arg1 && 1+arg2P_19<=arg2 && arg1>2 && arg2>0 && arg1P_19>0 && arg2P_19>-1 ], cost: 1 Failed to prove monotonicity of the guard of rule 18. [accelerate] Nesting with 1 inner and 1 outer candidates Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f177_0_appendNewList_Return : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=0, [ arg2>0 && arg1P_1<=arg1 && -7+arg2P_1<=arg1 && -5+arg3P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>7 && arg3P_1>5 ], cost: 1 1: f1_0_main_Load -> f177_0_appendNewList_Return : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>8 && arg3P_2>6 ], cost: 1 4: f1_0_main_Load -> f415_0_main_InvokeMethod : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg2>1 && arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 8: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg2>1 && arg1P_9<=arg1 && arg1>0 && arg1P_9>0 && arg2P_9>6 ], cost: 1 10: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ arg2>1 && arg1P_11<=arg1 && -5+arg2P_11<=arg1 && arg1>0 && arg1P_11>0 && arg2P_11>5 ], cost: 1 11: f1_0_main_Load -> f343_0_appendNewList_GT : arg1'=arg1P_12, arg2'=1, arg3'=arg3P_12, arg4'=arg4P_12, [ arg1P_12>-1 && arg2>0 && arg1>0 ], cost: 1 14: f1_0_main_Load -> f343_0_appendNewList_GT : arg1'=arg1P_15, arg2'=2, arg3'=arg3P_15, arg4'=arg4P_15, [ arg2>1 && arg1P_15>-1 && arg1>0 ], cost: 1 2: f177_0_appendNewList_Return -> f415_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3<=arg1 && 7+arg1P_3<=arg2 && 5+arg1P_3<=arg3 && arg1>0 && arg2>7 && arg3>5 && arg1P_3>0 ], cost: 1 3: f177_0_appendNewList_Return -> f415_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg4>0 && arg1P_4<=arg1 && 6+arg1P_4<=arg2 && 4+arg1P_4<=arg3 && arg1>0 && arg2>6 && arg3>4 && arg1P_4>0 ], cost: 1 5: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg4>0 && arg1P_6<=arg1 && 6+arg1P_6<=arg2 && 4+arg1P_6<=arg3 && arg1>0 && arg2>6 && arg3>4 && arg1P_6>0 && arg2P_6>6 ], cost: 1 6: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_7<=arg1 && 7+arg1P_7<=arg2 && 5+arg1P_7<=arg3 && -5+arg2P_7<=arg1 && 2+arg2P_7<=arg2 && arg2P_7<=arg3 && arg1>0 && arg2>7 && arg3>5 && arg1P_7>0 && arg2P_7>5 ], cost: 1 7: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ arg1P_8<=arg1 && 7+arg1P_8<=arg2 && 5+arg1P_8<=arg3 && arg1>0 && arg2>7 && arg3>5 && arg1P_8>0 && arg2P_8>6 ], cost: 1 9: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg4>0 && arg1P_10<=arg1 && 6+arg1P_10<=arg2 && 4+arg1P_10<=arg3 && -5+arg2P_10<=arg1 && 1+arg2P_10<=arg2 && -1+arg2P_10<=arg3 && arg1>0 && arg2>6 && arg3>4 && arg1P_10>0 && arg2P_10>5 ], cost: 1 12: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=arg1P_13, arg2'=2, arg3'=arg3P_13, arg4'=arg4P_13, [ arg4>0 && arg1P_13>-1 && arg1>0 && arg2>6 && arg3>4 ], cost: 1 13: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=arg1P_14, arg2'=2, arg3'=arg3P_14, arg4'=arg4P_14, [ arg1P_14>-1 && arg1>0 && arg2>7 && arg3>5 ], cost: 1 16: f415_0_main_InvokeMethod -> f519_0_length_NONNULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, [ -3+arg1P_17<=arg1 && -1+arg2P_17<=arg1 && arg1>0 && arg1P_17>3 && arg2P_17>1 ], cost: 1 17: f480_0_main_InvokeMethod -> f519_0_length_NONNULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, arg4'=arg4P_18, [ arg1P_18<=arg2 && 2+arg2P_18<=arg2 && arg1>0 && arg2>4 && arg1P_18>4 && arg2P_18>2 ], cost: 1 20: f343_0_appendNewList_GT -> f343_0_appendNewList_GT : arg1'=1, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2>0 && -1+arg1>=1 ], cost: -1+arg1 18: f519_0_length_NONNULL -> f519_0_length_NONNULL : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, arg4'=arg4P_19, [ 2+arg1P_19<=arg1 && arg1P_19<=arg2 && 3+arg2P_19<=arg1 && 1+arg2P_19<=arg2 && arg1>2 && arg2>0 && arg1P_19>0 && arg2P_19>-1 ], cost: 1 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f177_0_appendNewList_Return : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=0, [ arg2>0 && arg1P_1<=arg1 && -7+arg2P_1<=arg1 && -5+arg3P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>7 && arg3P_1>5 ], cost: 1 1: f1_0_main_Load -> f177_0_appendNewList_Return : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>8 && arg3P_2>6 ], cost: 1 4: f1_0_main_Load -> f415_0_main_InvokeMethod : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg2>1 && arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 8: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg2>1 && arg1P_9<=arg1 && arg1>0 && arg1P_9>0 && arg2P_9>6 ], cost: 1 10: f1_0_main_Load -> f480_0_main_InvokeMethod : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ arg2>1 && arg1P_11<=arg1 && -5+arg2P_11<=arg1 && arg1>0 && arg1P_11>0 && arg2P_11>5 ], cost: 1 11: f1_0_main_Load -> f343_0_appendNewList_GT : arg1'=arg1P_12, arg2'=1, arg3'=arg3P_12, arg4'=arg4P_12, [ arg1P_12>-1 && arg2>0 && arg1>0 ], cost: 1 14: f1_0_main_Load -> f343_0_appendNewList_GT : arg1'=arg1P_15, arg2'=2, arg3'=arg3P_15, arg4'=arg4P_15, [ arg2>1 && arg1P_15>-1 && arg1>0 ], cost: 1 21: f1_0_main_Load -> f343_0_appendNewList_GT : arg1'=1, arg2'=1, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2>0 && arg1>0 && -1+arg1P_12>=1 ], cost: arg1P_12 24: f1_0_main_Load -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2>1 && arg1>0 && -1+arg1P_15>=1 ], cost: arg1P_15 2: f177_0_appendNewList_Return -> f415_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3<=arg1 && 7+arg1P_3<=arg2 && 5+arg1P_3<=arg3 && arg1>0 && arg2>7 && arg3>5 && arg1P_3>0 ], cost: 1 3: f177_0_appendNewList_Return -> f415_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg4>0 && arg1P_4<=arg1 && 6+arg1P_4<=arg2 && 4+arg1P_4<=arg3 && arg1>0 && arg2>6 && arg3>4 && arg1P_4>0 ], cost: 1 5: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg4>0 && arg1P_6<=arg1 && 6+arg1P_6<=arg2 && 4+arg1P_6<=arg3 && arg1>0 && arg2>6 && arg3>4 && arg1P_6>0 && arg2P_6>6 ], cost: 1 6: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_7<=arg1 && 7+arg1P_7<=arg2 && 5+arg1P_7<=arg3 && -5+arg2P_7<=arg1 && 2+arg2P_7<=arg2 && arg2P_7<=arg3 && arg1>0 && arg2>7 && arg3>5 && arg1P_7>0 && arg2P_7>5 ], cost: 1 7: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ arg1P_8<=arg1 && 7+arg1P_8<=arg2 && 5+arg1P_8<=arg3 && arg1>0 && arg2>7 && arg3>5 && arg1P_8>0 && arg2P_8>6 ], cost: 1 9: f177_0_appendNewList_Return -> f480_0_main_InvokeMethod : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg4>0 && arg1P_10<=arg1 && 6+arg1P_10<=arg2 && 4+arg1P_10<=arg3 && -5+arg2P_10<=arg1 && 1+arg2P_10<=arg2 && -1+arg2P_10<=arg3 && arg1>0 && arg2>6 && arg3>4 && arg1P_10>0 && arg2P_10>5 ], cost: 1 12: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=arg1P_13, arg2'=2, arg3'=arg3P_13, arg4'=arg4P_13, [ arg4>0 && arg1P_13>-1 && arg1>0 && arg2>6 && arg3>4 ], cost: 1 13: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=arg1P_14, arg2'=2, arg3'=arg3P_14, arg4'=arg4P_14, [ arg1P_14>-1 && arg1>0 && arg2>7 && arg3>5 ], cost: 1 22: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg4>0 && arg1>0 && arg2>6 && arg3>4 && -1+arg1P_13>=1 ], cost: arg1P_13 23: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg1>0 && arg2>7 && arg3>5 && -1+arg1P_14>=1 ], cost: arg1P_14 16: f415_0_main_InvokeMethod -> f519_0_length_NONNULL : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, [ -3+arg1P_17<=arg1 && -1+arg2P_17<=arg1 && arg1>0 && arg1P_17>3 && arg2P_17>1 ], cost: 1 25: f415_0_main_InvokeMethod -> f519_0_length_NONNULL : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, arg4'=arg4P_19, [ arg1>0 && arg1P_19>0 && arg2P_19>-1 && 2+arg1P_19<=3+arg1 && 3+arg2P_19<=3+arg1 ], cost: 2 17: f480_0_main_InvokeMethod -> f519_0_length_NONNULL : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, arg4'=arg4P_18, [ arg1P_18<=arg2 && 2+arg2P_18<=arg2 && arg1>0 && arg2>4 && arg1P_18>4 && arg2P_18>2 ], cost: 1 26: f480_0_main_InvokeMethod -> f519_0_length_NONNULL : arg1'=arg1P_19, arg2'=arg2P_19, arg3'=arg3P_19, arg4'=arg4P_19, [ arg1>0 && arg2>4 && arg1P_19>0 && arg2P_19>-1 && 2+arg1P_19<=arg2 && 3+arg2P_19<=arg2 ], cost: 2 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 0: f1_0_main_Load -> f177_0_appendNewList_Return : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=0, [ arg2>0 && arg1P_1<=arg1 && -7+arg2P_1<=arg1 && -5+arg3P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>7 && arg3P_1>5 ], cost: 1 1: f1_0_main_Load -> f177_0_appendNewList_Return : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>8 && arg3P_2>6 ], cost: 1 21: f1_0_main_Load -> f343_0_appendNewList_GT : arg1'=1, arg2'=1, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2>0 && arg1>0 && -1+arg1P_12>=1 ], cost: arg1P_12 24: f1_0_main_Load -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2>1 && arg1>0 && -1+arg1P_15>=1 ], cost: arg1P_15 22: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg4>0 && arg1>0 && arg2>6 && arg3>4 && -1+arg1P_13>=1 ], cost: arg1P_13 23: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg1>0 && arg2>7 && arg3>5 && -1+arg1P_14>=1 ], cost: arg1P_14 19: __init -> f1_0_main_Load : arg1'=arg1P_20, arg2'=arg2P_20, arg3'=arg3P_20, arg4'=arg4P_20, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 22: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg4>0 && arg1>0 && arg2>6 && arg3>4 && -1+arg1P_13>=1 ], cost: arg1P_13 23: f177_0_appendNewList_Return -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg1>0 && arg2>7 && arg3>5 && -1+arg1P_14>=1 ], cost: arg1P_14 27: __init -> f177_0_appendNewList_Return : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=0, [ arg2P_20>0 && arg1P_1<=arg1P_20 && -7+arg2P_1<=arg1P_20 && -5+arg3P_1<=arg1P_20 && arg1P_20>0 && arg1P_1>0 && arg2P_1>7 && arg3P_1>5 ], cost: 2 28: __init -> f177_0_appendNewList_Return : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg2P_20>0 && arg1P_2<=arg1P_20 && arg1P_20>0 && arg1P_2>0 && arg2P_2>8 && arg3P_2>6 ], cost: 2 29: __init -> f343_0_appendNewList_GT : arg1'=1, arg2'=1, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2P_20>0 && arg1P_20>0 && -1+arg1P_12>=1 ], cost: 1+arg1P_12 30: __init -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2P_20>1 && arg1P_20>0 && -1+arg1P_15>=1 ], cost: 1+arg1P_15 Eliminated locations (on tree-shaped paths): Start location: __init 29: __init -> f343_0_appendNewList_GT : arg1'=1, arg2'=1, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2P_20>0 && arg1P_20>0 && -1+arg1P_12>=1 ], cost: 1+arg1P_12 30: __init -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2P_20>1 && arg1P_20>0 && -1+arg1P_15>=1 ], cost: 1+arg1P_15 31: __init -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2P_20>0 && arg1P_1<=arg1P_20 && -7+arg2P_1<=arg1P_20 && -5+arg3P_1<=arg1P_20 && arg1P_20>0 && arg1P_1>0 && arg2P_1>7 && arg3P_1>5 && -1+arg1P_14>=1 ], cost: 2+arg1P_14 32: __init -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2P_20>0 && arg1P_2<=arg1P_20 && arg1P_20>0 && arg1P_2>0 && arg2P_2>8 && arg3P_2>6 && arg4P_2>0 && -1+arg1P_13>=1 ], cost: 2+arg1P_13 33: __init -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2P_20>0 && arg1P_2<=arg1P_20 && arg1P_20>0 && arg1P_2>0 && arg2P_2>8 && arg3P_2>6 && -1+arg1P_14>=1 ], cost: 2+arg1P_14 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 29: __init -> f343_0_appendNewList_GT : arg1'=1, arg2'=1, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2P_20>0 && arg1P_20>0 && -1+arg1P_12>=1 ], cost: 1+arg1P_12 30: __init -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2P_20>1 && arg1P_20>0 && -1+arg1P_15>=1 ], cost: 1+arg1P_15 31: __init -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2P_20>0 && arg1P_1<=arg1P_20 && -7+arg2P_1<=arg1P_20 && -5+arg3P_1<=arg1P_20 && arg1P_20>0 && arg1P_1>0 && arg2P_1>7 && arg3P_1>5 && -1+arg1P_14>=1 ], cost: 2+arg1P_14 32: __init -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2P_20>0 && arg1P_2<=arg1P_20 && arg1P_20>0 && arg1P_2>0 && arg2P_2>8 && arg3P_2>6 && arg4P_2>0 && -1+arg1P_13>=1 ], cost: 2+arg1P_13 33: __init -> f343_0_appendNewList_GT : arg1'=1, arg2'=2, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2P_20>0 && arg1P_2<=arg1P_20 && arg1P_20>0 && arg1P_2>0 && arg2P_2>8 && arg3P_2>6 && -1+arg1P_14>=1 ], cost: 2+arg1P_14 Computing asymptotic complexity for rule 29 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 30 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 33 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 32 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 31 Resulting cost 0 has complexity: Unknown Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Constant Cpx degree: 0 Solved cost: 1 Rule cost: 1 Rule guard: [] WORST_CASE(Omega(1),?)