WORST_CASE(INF,?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f850_0_main_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg2>0 && arg3P_1>-1 && arg1P_1<=arg1 && 1+arg2P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>-1 && 1==arg4P_1 ], cost: 1 1: f850_0_main_LE -> f1962_0_flatten_NONNULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg1P_2<=arg2 && x5_1>0 && arg1>0 && arg2>-1 && arg1P_2>-1 && 0==arg3 ], cost: 1 2: f850_0_main_LE -> f850_0_main_LE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg3>0 && x10_1>0 && arg1P_3<=arg1 && -1+arg1P_3<=arg2 && -2+arg2P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>0 && arg2P_3>1 && -1+arg3==arg3P_3 ], cost: 1 3: f850_0_main_LE -> f850_0_main_LE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>0 && x18_1>0 && arg1P_4<=arg1 && -1+arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>0 && arg2P_4>4 && -1+arg3==arg3P_4 ], cost: 1 7: f850_0_main_LE -> f2618_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg3P_8>0 && arg4P_8>0 && arg3>0 && arg4-1 && -2+arg1P_8<=arg1 && -3+arg1P_8<=arg2 && -2+arg2P_8<=arg1 && -3+arg2P_8<=arg2 && arg1>0 && arg2>-1 && arg1P_8>2 && arg2P_8>2 && 1+arg4==arg5P_8 ], cost: 1 5: f1962_0_flatten_NONNULL -> f1962_0_flatten_NONNULL : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 2+arg1P_6<=arg1 && arg1>1 && arg1P_6>-1 ], cost: 1 6: f1962_0_flatten_NONNULL -> f1962_0_flatten_NONNULL : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_7<=arg1 && arg1>2 && arg1P_7>2 ], cost: 1 4: f1367_0_createTree_Return -> f850_0_main_LE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg1P_5<=arg1 && 2+arg1P_5<=arg4 && arg1>0 && arg4>2 && arg1P_5>0 && arg2P_5>4 && 2+arg6<=arg4 && -1+arg3==arg3P_5 && arg5==arg4P_5 ], cost: 1 8: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>0 && arg5>-1 && arg52 && arg2>2 && arg1P_9>2 && arg2P_9>0 && -1+arg3==arg3P_9 && arg4==arg4P_9 && 1+arg5==arg5P_9 ], cost: 1 9: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg5>-1 && x63_1>0 && arg3>0 && arg52 && arg2>2 && arg1P_10>2 && arg2P_10>0 && -1+arg3==arg3P_10 && arg4==arg4P_10 && 1+arg5==arg5P_10 ], cost: 1 10: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ arg5>-1 && x71_1>0 && arg3>0 && arg52 && arg2>1 && arg1P_11>2 && arg2P_11>2 && -1+arg3==arg3P_11 && arg4==arg4P_11 && 1+arg5==arg5P_11 ], cost: 1 11: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ arg3>0 && arg5>-1 && arg52 && arg2>1 && arg1P_12>2 && arg2P_12>2 && -1+arg3==arg3P_12 && arg4==arg4P_12 && 1+arg5==arg5P_12 ], cost: 1 12: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg3>0 && arg5>-1 && arg52 && arg2>2 && arg1P_13>4 && arg2P_13>4 && -1+arg3==arg3P_13 && arg4==arg4P_13 && 1+arg5==arg5P_13 ], cost: 1 13: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ arg5>-1 && x93_1>0 && arg3>0 && arg52 && arg2>2 && arg1P_14>4 && arg2P_14>4 && -1+arg3==arg3P_14 && arg4==arg4P_14 && 1+arg5==arg5P_14 ], cost: 1 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 Removed unreachable and leaf rules: Start location: __init 0: f1_0_main_Load -> f850_0_main_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg2>0 && arg3P_1>-1 && arg1P_1<=arg1 && 1+arg2P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>-1 && 1==arg4P_1 ], cost: 1 1: f850_0_main_LE -> f1962_0_flatten_NONNULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg1P_2<=arg2 && x5_1>0 && arg1>0 && arg2>-1 && arg1P_2>-1 && 0==arg3 ], cost: 1 2: f850_0_main_LE -> f850_0_main_LE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg3>0 && x10_1>0 && arg1P_3<=arg1 && -1+arg1P_3<=arg2 && -2+arg2P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>0 && arg2P_3>1 && -1+arg3==arg3P_3 ], cost: 1 3: f850_0_main_LE -> f850_0_main_LE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>0 && x18_1>0 && arg1P_4<=arg1 && -1+arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>0 && arg2P_4>4 && -1+arg3==arg3P_4 ], cost: 1 7: f850_0_main_LE -> f2618_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg3P_8>0 && arg4P_8>0 && arg3>0 && arg4-1 && -2+arg1P_8<=arg1 && -3+arg1P_8<=arg2 && -2+arg2P_8<=arg1 && -3+arg2P_8<=arg2 && arg1>0 && arg2>-1 && arg1P_8>2 && arg2P_8>2 && 1+arg4==arg5P_8 ], cost: 1 5: f1962_0_flatten_NONNULL -> f1962_0_flatten_NONNULL : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 2+arg1P_6<=arg1 && arg1>1 && arg1P_6>-1 ], cost: 1 6: f1962_0_flatten_NONNULL -> f1962_0_flatten_NONNULL : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_7<=arg1 && arg1>2 && arg1P_7>2 ], cost: 1 8: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>0 && arg5>-1 && arg52 && arg2>2 && arg1P_9>2 && arg2P_9>0 && -1+arg3==arg3P_9 && arg4==arg4P_9 && 1+arg5==arg5P_9 ], cost: 1 9: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg5>-1 && x63_1>0 && arg3>0 && arg52 && arg2>2 && arg1P_10>2 && arg2P_10>0 && -1+arg3==arg3P_10 && arg4==arg4P_10 && 1+arg5==arg5P_10 ], cost: 1 10: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ arg5>-1 && x71_1>0 && arg3>0 && arg52 && arg2>1 && arg1P_11>2 && arg2P_11>2 && -1+arg3==arg3P_11 && arg4==arg4P_11 && 1+arg5==arg5P_11 ], cost: 1 11: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ arg3>0 && arg5>-1 && arg52 && arg2>1 && arg1P_12>2 && arg2P_12>2 && -1+arg3==arg3P_12 && arg4==arg4P_12 && 1+arg5==arg5P_12 ], cost: 1 12: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg3>0 && arg5>-1 && arg52 && arg2>2 && arg1P_13>4 && arg2P_13>4 && -1+arg3==arg3P_13 && arg4==arg4P_13 && 1+arg5==arg5P_13 ], cost: 1 13: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ arg5>-1 && x93_1>0 && arg3>0 && arg52 && arg2>2 && arg1P_14>4 && arg2P_14>4 && -1+arg3==arg3P_14 && arg4==arg4P_14 && 1+arg5==arg5P_14 ], cost: 1 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f850_0_main_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg2>0 && arg3P_1>-1 && arg1P_1<=arg1 && 1+arg2P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>-1 ], cost: 1 1: f850_0_main_LE -> f1962_0_flatten_NONNULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg1P_2<=arg2 && arg1>0 && arg2>-1 && arg1P_2>-1 && 0==arg3 ], cost: 1 2: f850_0_main_LE -> f850_0_main_LE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=-1+arg3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg3>0 && arg1P_3<=arg1 && -1+arg1P_3<=arg2 && -2+arg2P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>0 && arg2P_3>1 ], cost: 1 3: f850_0_main_LE -> f850_0_main_LE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=-1+arg3, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>0 && arg1P_4<=arg1 && -1+arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>0 && arg2P_4>4 ], cost: 1 7: f850_0_main_LE -> f2618_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=1+arg4, arg6'=arg6P_8, [ arg3P_8>0 && arg3>0 && arg4-1 && -2+arg1P_8<=arg1 && -3+arg1P_8<=arg2 && -2+arg2P_8<=arg1 && -3+arg2P_8<=arg2 && arg1>0 && arg2>-1 && arg1P_8>2 && arg2P_8>2 ], cost: 1 5: f1962_0_flatten_NONNULL -> f1962_0_flatten_NONNULL : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 2+arg1P_6<=arg1 && arg1>1 && arg1P_6>-1 ], cost: 1 6: f1962_0_flatten_NONNULL -> f1962_0_flatten_NONNULL : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_7<=arg1 && arg1>2 && arg1P_7>2 ], cost: 1 8: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_9, [ arg3>0 && arg5>-1 && arg52 && arg2>2 && arg1P_9>2 && arg2P_9>0 ], cost: 1 9: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_10, [ arg5>-1 && arg3>0 && arg52 && arg2>2 && arg1P_10>2 && arg2P_10>0 ], cost: 1 10: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_11, [ arg5>-1 && arg3>0 && arg52 && arg2>1 && arg1P_11>2 && arg2P_11>2 ], cost: 1 11: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_12, [ arg3>0 && arg5>-1 && arg52 && arg2>1 && arg1P_12>2 && arg2P_12>2 ], cost: 1 12: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_13, [ arg3>0 && arg5>-1 && arg52 && arg2>2 && arg1P_13>4 && arg2P_13>4 ], cost: 1 13: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_14, [ arg5>-1 && arg3>0 && arg52 && arg2>2 && arg1P_14>4 && arg2P_14>4 ], cost: 1 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 1. Accelerating the following rules: 2: f850_0_main_LE -> f850_0_main_LE : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=-1+arg3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg3>0 && arg1P_3<=arg1 && -1+arg1P_3<=arg2 && -2+arg2P_3<=arg2 && arg1>0 && arg2>-1 && arg1P_3>0 && arg2P_3>1 ], cost: 1 3: f850_0_main_LE -> f850_0_main_LE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=-1+arg3, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>0 && arg1P_4<=arg1 && -1+arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>0 && arg2P_4>4 ], cost: 1 During metering: Instantiating temporary variables by {arg2P_3==2+arg2,arg1P_3==1} Accelerated rule 2 with metering function arg3, yielding the new rule 15. During metering: Instantiating temporary variables by {arg2P_4==5,arg1P_4==1} Accelerated rule 3 with metering function arg3, yielding the new rule 16. Removing the simple loops: 2 3. Accelerating simple loops of location 2. Accelerating the following rules: 5: f1962_0_flatten_NONNULL -> f1962_0_flatten_NONNULL : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 2+arg1P_6<=arg1 && arg1>1 && arg1P_6>-1 ], cost: 1 6: f1962_0_flatten_NONNULL -> f1962_0_flatten_NONNULL : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ -2+arg1P_7<=arg1 && arg1>2 && arg1P_7>2 ], cost: 1 During metering: Instantiating temporary variables by {arg1P_6==-2+arg1} Accelerated rule 5 with metering function meter (where 2*meter==-1+arg1), yielding the new rule 17. Accelerated rule 6 with NONTERM, yielding the new rule 18. Removing the simple loops: 5 6. Accelerating simple loops of location 4. Accelerating the following rules: 8: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_9, [ arg3>0 && arg5>-1 && arg52 && arg2>2 && arg1P_9>2 && arg2P_9>0 ], cost: 1 9: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_10, [ arg5>-1 && arg3>0 && arg52 && arg2>2 && arg1P_10>2 && arg2P_10>0 ], cost: 1 10: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_11, [ arg5>-1 && arg3>0 && arg52 && arg2>1 && arg1P_11>2 && arg2P_11>2 ], cost: 1 11: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_12, [ arg3>0 && arg5>-1 && arg52 && arg2>1 && arg1P_12>2 && arg2P_12>2 ], cost: 1 12: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_13, [ arg3>0 && arg5>-1 && arg52 && arg2>2 && arg1P_13>4 && arg2P_13>4 ], cost: 1 13: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_14, [ arg5>-1 && arg3>0 && arg52 && arg2>2 && arg1P_14>4 && arg2P_14>4 ], cost: 1 Found no metering function for rule 8. Found no metering function for rule 9. Found no metering function for rule 10. Found no metering function for rule 11. Found no metering function for rule 12. Found no metering function for rule 13. Removing the simple loops:. Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f850_0_main_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg2>0 && arg3P_1>-1 && arg1P_1<=arg1 && 1+arg2P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>-1 ], cost: 1 1: f850_0_main_LE -> f1962_0_flatten_NONNULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg1P_2<=arg2 && arg1>0 && arg2>-1 && arg1P_2>-1 && 0==arg3 ], cost: 1 7: f850_0_main_LE -> f2618_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=1+arg4, arg6'=arg6P_8, [ arg3P_8>0 && arg3>0 && arg4-1 && -2+arg1P_8<=arg1 && -3+arg1P_8<=arg2 && -2+arg2P_8<=arg1 && -3+arg2P_8<=arg2 && arg1>0 && arg2>-1 && arg1P_8>2 && arg2P_8>2 ], cost: 1 15: f850_0_main_LE -> f850_0_main_LE : arg1'=1, arg2'=2*arg3+arg2, arg3'=0, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg3>0 && 1<=arg1 && 0<=arg2 ], cost: arg3 16: f850_0_main_LE -> f850_0_main_LE : arg1'=1, arg2'=5, arg3'=0, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>0 && 1<=arg1 && 0<=arg2 ], cost: arg3 17: f1962_0_flatten_NONNULL -> f1962_0_flatten_NONNULL : arg1'=-2*meter+arg1, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>1 && 2*meter==-1+arg1 && meter>=1 ], cost: meter 18: f1962_0_flatten_NONNULL -> [7] : [ -2+arg1P_7<=arg1 && arg1>2 && arg1P_7>2 ], cost: NONTERM 8: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_9, [ arg3>0 && arg5>-1 && arg52 && arg2>2 && arg1P_9>2 && arg2P_9>0 ], cost: 1 9: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_10, [ arg5>-1 && arg3>0 && arg52 && arg2>2 && arg1P_10>2 && arg2P_10>0 ], cost: 1 10: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_11, [ arg5>-1 && arg3>0 && arg52 && arg2>1 && arg1P_11>2 && arg2P_11>2 ], cost: 1 11: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_12, [ arg3>0 && arg5>-1 && arg52 && arg2>1 && arg1P_12>2 && arg2P_12>2 ], cost: 1 12: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_13, [ arg3>0 && arg5>-1 && arg52 && arg2>2 && arg1P_13>4 && arg2P_13>4 ], cost: 1 13: f2618_0_createTree_LE -> f2618_0_createTree_LE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=-1+arg3, arg5'=1+arg5, arg6'=arg6P_14, [ arg5>-1 && arg3>0 && arg52 && arg2>2 && arg1P_14>4 && arg2P_14>4 ], cost: 1 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f850_0_main_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg2>0 && arg3P_1>-1 && arg1P_1<=arg1 && 1+arg2P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>-1 ], cost: 1 19: f1_0_main_Load -> f850_0_main_LE : arg1'=1, arg2'=arg2P_1+2*arg3P_1, arg3'=0, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg2>0 && 1+arg2P_1<=arg1 && arg1>0 && arg2P_1>-1 && arg3P_1>0 ], cost: 1+arg3P_1 20: f1_0_main_Load -> f850_0_main_LE : arg1'=1, arg2'=5, arg3'=0, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg2>0 && arg1>0 && arg3P_1>0 ], cost: 1+arg3P_1 1: f850_0_main_LE -> f1962_0_flatten_NONNULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg1P_2<=arg2 && arg1>0 && arg2>-1 && arg1P_2>-1 && 0==arg3 ], cost: 1 7: f850_0_main_LE -> f2618_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=1+arg4, arg6'=arg6P_8, [ arg3P_8>0 && arg3>0 && arg4-1 && -2+arg1P_8<=arg1 && -3+arg1P_8<=arg2 && -2+arg2P_8<=arg1 && -3+arg2P_8<=arg2 && arg1>0 && arg2>-1 && arg1P_8>2 && arg2P_8>2 ], cost: 1 21: f850_0_main_LE -> f1962_0_flatten_NONNULL : arg1'=1, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 1+2*meter<=arg2 && arg1>0 && arg2>-1 && 0==arg3 && 1+2*meter>1 && meter>=1 ], cost: 1+meter 22: f850_0_main_LE -> [7] : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg1P_2<=arg2 && arg1>0 && arg2>-1 && 0==arg3 && arg1P_2>2 ], cost: NONTERM 23: f850_0_main_LE -> f2618_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=-1+arg3P_8, arg4'=arg4P_8, arg5'=2+arg4, arg6'=arg6P_9, [ arg3P_8>0 && arg3>0 && arg4>-1 && arg1>0 && arg2>-1 && 1+arg42 && arg2P_9>0 && arg1P_9<=2+arg1 && arg1P_9<=3+arg2 && 2+arg2P_9<=2+arg1 && 2+arg2P_9<=3+arg2 ], cost: 2 24: f850_0_main_LE -> f2618_0_createTree_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=-1+arg3P_8, arg4'=arg4P_8, arg5'=2+arg4, arg6'=arg6P_10, [ arg3P_8>0 && arg3>0 && arg4>-1 && arg1>0 && arg2>-1 && 1+arg42 && arg2P_10>0 && arg1P_10<=2+arg1 && arg1P_10<=3+arg2 && 2+arg2P_10<=2+arg1 && 2+arg2P_10<=3+arg2 ], cost: 2 25: f850_0_main_LE -> f2618_0_createTree_LE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=-1+arg3P_8, arg4'=arg4P_8, arg5'=2+arg4, arg6'=arg6P_11, [ arg3P_8>0 && arg3>0 && arg4>-1 && arg1>0 && arg2>-1 && 1+arg42 && arg2P_11>2 ], cost: 2 26: f850_0_main_LE -> f2618_0_createTree_LE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=-1+arg3P_8, arg4'=arg4P_8, arg5'=2+arg4, arg6'=arg6P_12, [ arg3P_8>0 && arg3>0 && arg4>-1 && arg1>0 && arg2>-1 && 1+arg42 && arg2P_12>2 ], cost: 2 27: f850_0_main_LE -> f2618_0_createTree_LE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=-1+arg3P_8, arg4'=arg4P_8, arg5'=2+arg4, arg6'=arg6P_13, [ arg3P_8>0 && arg3>0 && arg4>-1 && arg1>0 && arg2>-1 && 1+arg44 && arg2P_13>4 && -2+arg1P_13<=2+arg1 && -2+arg2P_13<=2+arg1 && -2+arg1P_13<=3+arg2 && -2+arg2P_13<=3+arg2 ], cost: 2 28: f850_0_main_LE -> f2618_0_createTree_LE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=-1+arg3P_8, arg4'=arg4P_8, arg5'=2+arg4, arg6'=arg6P_14, [ arg3P_8>0 && arg3>0 && arg4>-1 && arg1>0 && arg2>-1 && 1+arg44 && arg2P_14>4 && -2+arg1P_14<=2+arg1 && -2+arg2P_14<=2+arg1 && -2+arg1P_14<=3+arg2 && -2+arg2P_14<=3+arg2 ], cost: 2 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 0: f1_0_main_Load -> f850_0_main_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg2>0 && arg3P_1>-1 && arg1P_1<=arg1 && 1+arg2P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>-1 ], cost: 1 19: f1_0_main_Load -> f850_0_main_LE : arg1'=1, arg2'=arg2P_1+2*arg3P_1, arg3'=0, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg2>0 && 1+arg2P_1<=arg1 && arg1>0 && arg2P_1>-1 && arg3P_1>0 ], cost: 1+arg3P_1 20: f1_0_main_Load -> f850_0_main_LE : arg1'=1, arg2'=5, arg3'=0, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg2>0 && arg1>0 && arg3P_1>0 ], cost: 1+arg3P_1 21: f850_0_main_LE -> f1962_0_flatten_NONNULL : arg1'=1, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 1+2*meter<=arg2 && arg1>0 && arg2>-1 && 0==arg3 && 1+2*meter>1 && meter>=1 ], cost: 1+meter 22: f850_0_main_LE -> [7] : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg1P_2<=arg2 && arg1>0 && arg2>-1 && 0==arg3 && arg1P_2>2 ], cost: NONTERM 14: __init -> f1_0_main_Load : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 21: f850_0_main_LE -> f1962_0_flatten_NONNULL : arg1'=1, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 1+2*meter<=arg2 && arg1>0 && arg2>-1 && 0==arg3 && 1+2*meter>1 && meter>=1 ], cost: 1+meter 22: f850_0_main_LE -> [7] : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg1P_2<=arg2 && arg1>0 && arg2>-1 && 0==arg3 && arg1P_2>2 ], cost: NONTERM 29: __init -> f850_0_main_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg2P_15>0 && arg3P_1>-1 && arg1P_1<=arg1P_15 && 1+arg2P_1<=arg1P_15 && arg1P_15>0 && arg1P_1>0 && arg2P_1>-1 ], cost: 2 30: __init -> f850_0_main_LE : arg1'=1, arg2'=arg2P_1+2*arg3P_1, arg3'=0, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg2P_15>0 && 1+arg2P_1<=arg1P_15 && arg1P_15>0 && arg2P_1>-1 && arg3P_1>0 ], cost: 2+arg3P_1 31: __init -> f850_0_main_LE : arg1'=1, arg2'=5, arg3'=0, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg2P_15>0 && arg1P_15>0 && arg3P_1>0 ], cost: 2+arg3P_1 Eliminated locations (on tree-shaped paths): Start location: __init 32: __init -> f1962_0_flatten_NONNULL : arg1'=1, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2P_15>0 && arg1P_1<=arg1P_15 && 1+arg2P_1<=arg1P_15 && arg1P_15>0 && arg1P_1>0 && arg2P_1>-1 && 1+2*meter<=arg2P_1 && 0==arg3P_1 && 1+2*meter>1 && meter>=1 ], cost: 3+meter 33: __init -> [7] : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_15>0 && arg1P_1<=arg1P_15 && 1+arg2P_1<=arg1P_15 && arg1P_15>0 && arg1P_1>0 && arg2P_1>-1 && arg1P_2<=arg2P_1 && 0==arg3P_1 && arg1P_2>2 ], cost: NONTERM 34: __init -> f1962_0_flatten_NONNULL : arg1'=1, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2P_15>0 && 1+arg2P_1<=arg1P_15 && arg1P_15>0 && arg2P_1>-1 && arg3P_1>0 && 1+2*meter<=arg2P_1+2*arg3P_1 && arg2P_1+2*arg3P_1>-1 && 1+2*meter>1 && meter>=1 ], cost: 3+meter+arg3P_1 35: __init -> [7] : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_15>0 && 1+arg2P_1<=arg1P_15 && arg1P_15>0 && arg2P_1>-1 && arg3P_1>0 && arg1P_2<=arg2P_1+2*arg3P_1 && arg2P_1+2*arg3P_1>-1 && arg1P_2>2 ], cost: NONTERM 36: __init -> f1962_0_flatten_NONNULL : arg1'=1, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2P_15>0 && arg1P_15>0 && arg3P_1>0 && 1+2*meter<=5 && 1+2*meter>1 && meter>=1 ], cost: 3+meter+arg3P_1 37: __init -> [7] : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_15>0 && arg1P_15>0 && arg3P_1>0 && arg1P_2<=5 && arg1P_2>2 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 32: __init -> f1962_0_flatten_NONNULL : arg1'=1, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2P_15>0 && arg1P_1<=arg1P_15 && 1+arg2P_1<=arg1P_15 && arg1P_15>0 && arg1P_1>0 && arg2P_1>-1 && 1+2*meter<=arg2P_1 && 0==arg3P_1 && 1+2*meter>1 && meter>=1 ], cost: 3+meter 33: __init -> [7] : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_15>0 && arg1P_1<=arg1P_15 && 1+arg2P_1<=arg1P_15 && arg1P_15>0 && arg1P_1>0 && arg2P_1>-1 && arg1P_2<=arg2P_1 && 0==arg3P_1 && arg1P_2>2 ], cost: NONTERM 34: __init -> f1962_0_flatten_NONNULL : arg1'=1, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2P_15>0 && 1+arg2P_1<=arg1P_15 && arg1P_15>0 && arg2P_1>-1 && arg3P_1>0 && 1+2*meter<=arg2P_1+2*arg3P_1 && arg2P_1+2*arg3P_1>-1 && 1+2*meter>1 && meter>=1 ], cost: 3+meter+arg3P_1 35: __init -> [7] : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_15>0 && 1+arg2P_1<=arg1P_15 && arg1P_15>0 && arg2P_1>-1 && arg3P_1>0 && arg1P_2<=arg2P_1+2*arg3P_1 && arg2P_1+2*arg3P_1>-1 && arg1P_2>2 ], cost: NONTERM 36: __init -> f1962_0_flatten_NONNULL : arg1'=1, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2P_15>0 && arg1P_15>0 && arg3P_1>0 && 1+2*meter<=5 && 1+2*meter>1 && meter>=1 ], cost: 3+meter+arg3P_1 37: __init -> [7] : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_15>0 && arg1P_15>0 && arg3P_1>0 && arg1P_2<=5 && arg1P_2>2 ], cost: NONTERM Computing asymptotic complexity for rule 32 Simplified the guard: 32: __init -> f1962_0_flatten_NONNULL : arg1'=1, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2P_15>0 && arg1P_1<=arg1P_15 && 1+arg2P_1<=arg1P_15 && arg1P_15>0 && arg1P_1>0 && 1+2*meter<=arg2P_1 && 0==arg3P_1 && 1+2*meter>1 ], cost: 3+meter Solved the limit problem by the following transformations: Created initial limit problem: 1-arg3P_1 (+/+!), 3+meter (+), arg1P_15 (+/+!), 2*meter (+/+!), arg1P_1 (+/+!), -2*meter+arg2P_1 (+/+!), 1+arg1P_15-arg1P_1 (+/+!), 1+arg3P_1 (+/+!), -arg2P_1+arg1P_15 (+/+!), arg2P_15 (+/+!) [not solved] removing all constraints (solved by SMT) resulting limit problem: [solved] applying transformation rule (C) using substitution {meter==-1+n,arg2P_1==2*n,arg1P_15==1+2*n,arg1P_1==1,arg3P_1==0,arg2P_15==1} resulting limit problem: [solved] Solution: meter / -1+n arg2P_1 / 2*n arg1P_15 / 1+2*n arg1P_1 / 1 arg3P_1 / 0 arg2P_15 / 1 Resulting cost 2+n has complexity: Unbounded Found new complexity Unbounded. Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Unbounded Cpx degree: Unbounded Solved cost: 2+n Rule cost: 3+meter Rule guard: [ arg2P_15>0 && arg1P_1<=arg1P_15 && 1+arg2P_1<=arg1P_15 && arg1P_15>0 && arg1P_1>0 && 1+2*meter<=arg2P_1 && 0==arg3P_1 && 1+2*meter>1 ] WORST_CASE(INF,?)