WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f1317_0_mirror_NULL : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1>0 && arg1P_1>-1 ], cost: 1 4: f1_0_main_Load -> f731_0_random_ArrayAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 6: f1_0_main_Load -> f750_0_random_ArrayAccess : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_7<=arg1 && arg1>0 && arg1P_7>0 ], cost: 1 14: f1_0_main_Load -> f973_0_random_ArrayAccess : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ arg1P_15<=arg1 && arg2>-1 && arg2P_15<=arg1 && arg1>0 && arg1P_15>0 && arg2P_15>0 && 0==arg3P_15 ], cost: 1 2: f1317_0_mirror_NULL -> f1317_0_mirror_NULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ 1+arg1P_3<=arg1 && arg1>0 && arg1P_3>-1 ], cost: 1 1: f322_0_createTree_Return -> f1317_0_mirror_NULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2<=arg1 && arg1>-1 && arg1P_2>-1 ], cost: 1 3: f477_0_createNode_Return -> f731_0_random_ArrayAccess : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_4>0 ], cost: 1 8: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ x27_1>0 && arg2P_9>-1 && -1+arg1P_9<=arg1 && arg1>0 && arg1P_9>1 && 1+x27_1==arg4P_9 ], cost: 1 5: f512_0_createNode_Return -> f750_0_random_ArrayAccess : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg1P_6>0 ], cost: 1 7: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ x22_1>0 && arg2P_8>-1 && -3+arg1P_8<=arg1 && arg1>0 && arg1P_8>3 && 1+x22_1==arg4P_8 ], cost: 1 9: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ 2+arg1P_10<=arg1 && arg2>0 && arg1>1 && arg1P_10>-1 && -1+arg2==arg2P_10 && arg3==arg3P_10 && arg4==arg4P_10 ], cost: 1 10: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ arg2>0 && arg4>0 && x42_1>0 && -2+arg1P_11<=arg1 && arg1>2 && arg1P_11>3 && -1+arg2==arg2P_11 && arg3==arg3P_11 ], cost: 1 11: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, [ arg2>0 && arg4>0 && x49_1>0 && -2+arg1P_12<=arg1 && arg1>2 && arg1P_12>3 && -1+arg2==arg2P_12 && arg3==arg3P_12 ], cost: 1 12: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg2>0 && arg4>0 && x56_1>0 && -3+arg1P_13<=arg1 && arg1>2 && arg1P_13>5 && -1+arg2==arg2P_13 && arg3==arg3P_13 ], cost: 1 13: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, [ arg2>0 && arg4>0 && x63_1>0 && -3+arg1P_14<=arg1 && arg1>2 && arg1P_14>5 && -1+arg2==arg2P_14 && arg3==arg3P_14 ], cost: 1 15: f1551_0_createTree_LE -> f973_0_random_ArrayAccess : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, [ arg2>0 && arg4>0 && arg3>-1 && 2+arg2P_16<=arg1 && arg1>2 && arg2P_16>0 && arg4==arg3P_16 ], cost: 1 16: f1551_0_createTree_LE -> f973_0_random_ArrayAccess : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, [ arg2>0 && arg4>0 && arg3P_17>0 && arg3>-1 && 2+arg2P_17<=arg1 && arg1>2 && arg2P_17>0 ], cost: 1 17: __init -> f1_0_main_Load : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, arg4'=arg4P_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, arg4'=arg4P_18, [], cost: 1 Removed unreachable and leaf rules: Start location: __init 0: f1_0_main_Load -> f1317_0_mirror_NULL : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1>0 && arg1P_1>-1 ], cost: 1 4: f1_0_main_Load -> f731_0_random_ArrayAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 6: f1_0_main_Load -> f750_0_random_ArrayAccess : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_7<=arg1 && arg1>0 && arg1P_7>0 ], cost: 1 2: f1317_0_mirror_NULL -> f1317_0_mirror_NULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ 1+arg1P_3<=arg1 && arg1>0 && arg1P_3>-1 ], cost: 1 8: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ x27_1>0 && arg2P_9>-1 && -1+arg1P_9<=arg1 && arg1>0 && arg1P_9>1 && 1+x27_1==arg4P_9 ], cost: 1 7: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ x22_1>0 && arg2P_8>-1 && -3+arg1P_8<=arg1 && arg1>0 && arg1P_8>3 && 1+x22_1==arg4P_8 ], cost: 1 9: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ 2+arg1P_10<=arg1 && arg2>0 && arg1>1 && arg1P_10>-1 && -1+arg2==arg2P_10 && arg3==arg3P_10 && arg4==arg4P_10 ], cost: 1 10: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ arg2>0 && arg4>0 && x42_1>0 && -2+arg1P_11<=arg1 && arg1>2 && arg1P_11>3 && -1+arg2==arg2P_11 && arg3==arg3P_11 ], cost: 1 11: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, [ arg2>0 && arg4>0 && x49_1>0 && -2+arg1P_12<=arg1 && arg1>2 && arg1P_12>3 && -1+arg2==arg2P_12 && arg3==arg3P_12 ], cost: 1 12: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg2>0 && arg4>0 && x56_1>0 && -3+arg1P_13<=arg1 && arg1>2 && arg1P_13>5 && -1+arg2==arg2P_13 && arg3==arg3P_13 ], cost: 1 13: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, [ arg2>0 && arg4>0 && x63_1>0 && -3+arg1P_14<=arg1 && arg1>2 && arg1P_14>5 && -1+arg2==arg2P_14 && arg3==arg3P_14 ], cost: 1 17: __init -> f1_0_main_Load : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, arg4'=arg4P_18, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f1317_0_mirror_NULL : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1>0 && arg1P_1>-1 ], cost: 1 4: f1_0_main_Load -> f731_0_random_ArrayAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 6: f1_0_main_Load -> f750_0_random_ArrayAccess : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_7<=arg1 && arg1>0 && arg1P_7>0 ], cost: 1 2: f1317_0_mirror_NULL -> f1317_0_mirror_NULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ 1+arg1P_3<=arg1 && arg1>0 && arg1P_3>-1 ], cost: 1 8: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=1+x27_1, [ x27_1>0 && arg2P_9>-1 && -1+arg1P_9<=arg1 && arg1>0 && arg1P_9>1 ], cost: 1 7: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=1+x22_1, [ x22_1>0 && arg2P_8>-1 && -3+arg1P_8<=arg1 && arg1>0 && arg1P_8>3 ], cost: 1 9: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_10, arg2'=-1+arg2, [ 2+arg1P_10<=arg1 && arg2>0 && arg1>1 && arg1P_10>-1 ], cost: 1 10: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=-1+arg2, arg4'=arg4P_11, [ arg2>0 && arg4>0 && -2+arg1P_11<=arg1 && arg1>2 && arg1P_11>3 ], cost: 1 11: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=-1+arg2, arg4'=arg4P_12, [ arg2>0 && arg4>0 && -2+arg1P_12<=arg1 && arg1>2 && arg1P_12>3 ], cost: 1 12: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=-1+arg2, arg4'=arg4P_13, [ arg2>0 && arg4>0 && -3+arg1P_13<=arg1 && arg1>2 && arg1P_13>5 ], cost: 1 13: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=-1+arg2, arg4'=arg4P_14, [ arg2>0 && arg4>0 && -3+arg1P_14<=arg1 && arg1>2 && arg1P_14>5 ], cost: 1 17: __init -> f1_0_main_Load : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, arg4'=arg4P_18, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 1. Accelerating the following rules: 2: f1317_0_mirror_NULL -> f1317_0_mirror_NULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ 1+arg1P_3<=arg1 && arg1>0 && arg1P_3>-1 ], cost: 1 Failed to prove monotonicity of the guard of rule 2. [accelerate] Nesting with 1 inner and 1 outer candidates Accelerating simple loops of location 7. Accelerating the following rules: 9: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_10, arg2'=-1+arg2, [ 2+arg1P_10<=arg1 && arg2>0 && arg1>1 && arg1P_10>-1 ], cost: 1 10: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=-1+arg2, arg4'=arg4P_11, [ arg2>0 && arg4>0 && -2+arg1P_11<=arg1 && arg1>2 && arg1P_11>3 ], cost: 1 11: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=-1+arg2, arg4'=arg4P_12, [ arg2>0 && arg4>0 && -2+arg1P_12<=arg1 && arg1>2 && arg1P_12>3 ], cost: 1 12: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=-1+arg2, arg4'=arg4P_13, [ arg2>0 && arg4>0 && -3+arg1P_13<=arg1 && arg1>2 && arg1P_13>5 ], cost: 1 13: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=-1+arg2, arg4'=arg4P_14, [ arg2>0 && arg4>0 && -3+arg1P_14<=arg1 && arg1>2 && arg1P_14>5 ], cost: 1 Failed to prove monotonicity of the guard of rule 9. [test] deduced pseudo-invariant -arg4P_11+arg4<=0, also trying arg4P_11-arg4<=-1 Accelerated rule 10 with backward acceleration, yielding the new rule 18. [test] deduced pseudo-invariant -arg4P_12+arg4<=0, also trying arg4P_12-arg4<=-1 Accelerated rule 11 with backward acceleration, yielding the new rule 19. [test] deduced pseudo-invariant -arg4P_13+arg4<=0, also trying arg4P_13-arg4<=-1 Accelerated rule 12 with backward acceleration, yielding the new rule 20. [test] deduced pseudo-invariant -arg4P_14+arg4<=0, also trying arg4P_14-arg4<=-1 Accelerated rule 13 with backward acceleration, yielding the new rule 21. [accelerate] Nesting with 5 inner and 5 outer candidates Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f1317_0_mirror_NULL : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1>0 && arg1P_1>-1 ], cost: 1 4: f1_0_main_Load -> f731_0_random_ArrayAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 6: f1_0_main_Load -> f750_0_random_ArrayAccess : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_7<=arg1 && arg1>0 && arg1P_7>0 ], cost: 1 2: f1317_0_mirror_NULL -> f1317_0_mirror_NULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ 1+arg1P_3<=arg1 && arg1>0 && arg1P_3>-1 ], cost: 1 8: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=1+x27_1, [ x27_1>0 && arg2P_9>-1 && -1+arg1P_9<=arg1 && arg1>0 && arg1P_9>1 ], cost: 1 7: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=1+x22_1, [ x22_1>0 && arg2P_8>-1 && -3+arg1P_8<=arg1 && arg1>0 && arg1P_8>3 ], cost: 1 9: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_10, arg2'=-1+arg2, [ 2+arg1P_10<=arg1 && arg2>0 && arg1>1 && arg1P_10>-1 ], cost: 1 10: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=-1+arg2, arg4'=arg4P_11, [ arg2>0 && arg4>0 && -2+arg1P_11<=arg1 && arg1>2 && arg1P_11>3 ], cost: 1 11: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=-1+arg2, arg4'=arg4P_12, [ arg2>0 && arg4>0 && -2+arg1P_12<=arg1 && arg1>2 && arg1P_12>3 ], cost: 1 12: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=-1+arg2, arg4'=arg4P_13, [ arg2>0 && arg4>0 && -3+arg1P_13<=arg1 && arg1>2 && arg1P_13>5 ], cost: 1 13: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=-1+arg2, arg4'=arg4P_14, [ arg2>0 && arg4>0 && -3+arg1P_14<=arg1 && arg1>2 && arg1P_14>5 ], cost: 1 18: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg4'=arg4P_11, [ arg4>0 && -2+arg1P_11<=arg1 && arg1>2 && arg1P_11>3 && -arg4P_11+arg4<=0 && arg2>=1 ], cost: arg2 19: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg4'=arg4P_12, [ arg4>0 && -2+arg1P_12<=arg1 && arg1>2 && arg1P_12>3 && -arg4P_12+arg4<=0 && arg2>=1 ], cost: arg2 20: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg4'=arg4P_13, [ arg4>0 && -3+arg1P_13<=arg1 && arg1>2 && arg1P_13>5 && -arg4P_13+arg4<=0 && arg2>=1 ], cost: arg2 21: f1551_0_createTree_LE -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=0, arg4'=arg4P_14, [ arg4>0 && -3+arg1P_14<=arg1 && arg1>2 && arg1P_14>5 && -arg4P_14+arg4<=0 && arg2>=1 ], cost: arg2 17: __init -> f1_0_main_Load : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, arg4'=arg4P_18, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f1317_0_mirror_NULL : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1>0 && arg1P_1>-1 ], cost: 1 4: f1_0_main_Load -> f731_0_random_ArrayAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 6: f1_0_main_Load -> f750_0_random_ArrayAccess : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_7<=arg1 && arg1>0 && arg1P_7>0 ], cost: 1 22: f1_0_main_Load -> f1317_0_mirror_NULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1>0 && arg1P_3>-1 ], cost: 2 8: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=1+x27_1, [ x27_1>0 && arg2P_9>-1 && -1+arg1P_9<=arg1 && arg1>0 && arg1P_9>1 ], cost: 1 24: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_10, arg2'=-1+arg2P_9, arg3'=arg3P_9, arg4'=1+x27_1, [ x27_1>0 && arg1>0 && arg2P_9>0 && arg1P_10>-1 && 2+arg1P_10<=1+arg1 ], cost: 2 26: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=-1+arg2P_9, arg3'=arg3P_9, arg4'=arg4P_11, [ arg2P_9>0 && arg1P_11>3 && -2+arg1P_11<=1+arg1 && 3<=1+arg1 ], cost: 2 28: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=-1+arg2P_9, arg3'=arg3P_9, arg4'=arg4P_12, [ arg2P_9>0 && arg1P_12>3 && -2+arg1P_12<=1+arg1 && 3<=1+arg1 ], cost: 2 30: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=-1+arg2P_9, arg3'=arg3P_9, arg4'=arg4P_13, [ arg2P_9>0 && arg1P_13>5 && -3+arg1P_13<=1+arg1 && 3<=1+arg1 ], cost: 2 32: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=-1+arg2P_9, arg3'=arg3P_9, arg4'=arg4P_14, [ arg2P_9>0 && arg1P_14>5 && -3+arg1P_14<=1+arg1 && 3<=1+arg1 ], cost: 2 34: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_11, [ arg1P_11>3 && arg2P_9>=1 && -2+arg1P_11<=1+arg1 && 3<=1+arg1 && 1<=-1+arg4P_11 ], cost: 1+arg2P_9 36: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_12, [ arg1P_12>3 && arg2P_9>=1 && -2+arg1P_12<=1+arg1 && 3<=1+arg1 && 1<=-1+arg4P_12 ], cost: 1+arg2P_9 38: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_13, [ arg1P_13>5 && arg2P_9>=1 && -3+arg1P_13<=1+arg1 && 3<=1+arg1 && 1<=-1+arg4P_13 ], cost: 1+arg2P_9 40: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_14, [ arg1P_14>5 && arg2P_9>=1 && -3+arg1P_14<=1+arg1 && 3<=1+arg1 && 1<=-1+arg4P_14 ], cost: 1+arg2P_9 7: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=1+x22_1, [ x22_1>0 && arg2P_8>-1 && -3+arg1P_8<=arg1 && arg1>0 && arg1P_8>3 ], cost: 1 23: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_10, arg2'=-1+arg2P_8, arg3'=arg3P_8, arg4'=1+x22_1, [ x22_1>0 && arg1>0 && arg2P_8>0 && arg1P_10>-1 && 2+arg1P_10<=3+arg1 ], cost: 2 25: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=-1+arg2P_8, arg3'=arg3P_8, arg4'=arg4P_11, [ arg1>0 && arg2P_8>0 && arg1P_11>3 && -2+arg1P_11<=3+arg1 ], cost: 2 27: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=-1+arg2P_8, arg3'=arg3P_8, arg4'=arg4P_12, [ arg1>0 && arg2P_8>0 && arg1P_12>3 && -2+arg1P_12<=3+arg1 ], cost: 2 29: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=-1+arg2P_8, arg3'=arg3P_8, arg4'=arg4P_13, [ arg1>0 && arg2P_8>0 && arg1P_13>5 && -3+arg1P_13<=3+arg1 ], cost: 2 31: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=-1+arg2P_8, arg3'=arg3P_8, arg4'=arg4P_14, [ arg1>0 && arg2P_8>0 && arg1P_14>5 && -3+arg1P_14<=3+arg1 ], cost: 2 33: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_11, [ arg1>0 && arg1P_11>3 && arg2P_8>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=3+arg1 ], cost: 1+arg2P_8 35: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_12, [ arg1>0 && arg1P_12>3 && arg2P_8>=1 && 1<=-1+arg4P_12 && -2+arg1P_12<=3+arg1 ], cost: 1+arg2P_8 37: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_13, [ arg1>0 && arg1P_13>5 && arg2P_8>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=3+arg1 ], cost: 1+arg2P_8 39: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_14, [ arg1>0 && arg1P_14>5 && arg2P_8>=1 && 1<=-1+arg4P_14 && -3+arg1P_14<=3+arg1 ], cost: 1+arg2P_8 17: __init -> f1_0_main_Load : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, arg4'=arg4P_18, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 4: f1_0_main_Load -> f731_0_random_ArrayAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 6: f1_0_main_Load -> f750_0_random_ArrayAccess : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_7<=arg1 && arg1>0 && arg1P_7>0 ], cost: 1 34: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_11, [ arg1P_11>3 && arg2P_9>=1 && -2+arg1P_11<=1+arg1 && 3<=1+arg1 && 1<=-1+arg4P_11 ], cost: 1+arg2P_9 36: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_12, [ arg1P_12>3 && arg2P_9>=1 && -2+arg1P_12<=1+arg1 && 3<=1+arg1 && 1<=-1+arg4P_12 ], cost: 1+arg2P_9 38: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_13, [ arg1P_13>5 && arg2P_9>=1 && -3+arg1P_13<=1+arg1 && 3<=1+arg1 && 1<=-1+arg4P_13 ], cost: 1+arg2P_9 40: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_14, [ arg1P_14>5 && arg2P_9>=1 && -3+arg1P_14<=1+arg1 && 3<=1+arg1 && 1<=-1+arg4P_14 ], cost: 1+arg2P_9 33: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_11, [ arg1>0 && arg1P_11>3 && arg2P_8>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=3+arg1 ], cost: 1+arg2P_8 35: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_12, [ arg1>0 && arg1P_12>3 && arg2P_8>=1 && 1<=-1+arg4P_12 && -2+arg1P_12<=3+arg1 ], cost: 1+arg2P_8 37: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_13, [ arg1>0 && arg1P_13>5 && arg2P_8>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=3+arg1 ], cost: 1+arg2P_8 39: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_14, [ arg1>0 && arg1P_14>5 && arg2P_8>=1 && 1<=-1+arg4P_14 && -3+arg1P_14<=3+arg1 ], cost: 1+arg2P_8 17: __init -> f1_0_main_Load : arg1'=arg1P_18, arg2'=arg2P_18, arg3'=arg3P_18, arg4'=arg4P_18, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 34: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_11, [ arg1P_11>3 && arg2P_9>=1 && -2+arg1P_11<=1+arg1 && 3<=1+arg1 && 1<=-1+arg4P_11 ], cost: 1+arg2P_9 36: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_12, [ arg1P_12>3 && arg2P_9>=1 && -2+arg1P_12<=1+arg1 && 3<=1+arg1 && 1<=-1+arg4P_12 ], cost: 1+arg2P_9 38: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_13, [ arg1P_13>5 && arg2P_9>=1 && -3+arg1P_13<=1+arg1 && 3<=1+arg1 && 1<=-1+arg4P_13 ], cost: 1+arg2P_9 40: f731_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_14, [ arg1P_14>5 && arg2P_9>=1 && -3+arg1P_14<=1+arg1 && 3<=1+arg1 && 1<=-1+arg4P_14 ], cost: 1+arg2P_9 33: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_11, [ arg1>0 && arg1P_11>3 && arg2P_8>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=3+arg1 ], cost: 1+arg2P_8 35: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_12, [ arg1>0 && arg1P_12>3 && arg2P_8>=1 && 1<=-1+arg4P_12 && -2+arg1P_12<=3+arg1 ], cost: 1+arg2P_8 37: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_13, [ arg1>0 && arg1P_13>5 && arg2P_8>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=3+arg1 ], cost: 1+arg2P_8 39: f750_0_random_ArrayAccess -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_14, [ arg1>0 && arg1P_14>5 && arg2P_8>=1 && 1<=-1+arg4P_14 && -3+arg1P_14<=3+arg1 ], cost: 1+arg2P_8 41: __init -> f731_0_random_ArrayAccess : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg1P_5<=arg1P_18 && arg1P_18>0 && arg1P_5>0 ], cost: 2 42: __init -> f750_0_random_ArrayAccess : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg1P_7<=arg1P_18 && arg1P_18>0 && arg1P_7>0 ], cost: 2 Eliminated locations (on tree-shaped paths): Start location: __init 43: __init -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_11, [ arg1P_5<=arg1P_18 && arg1P_18>0 && arg1P_11>3 && arg2P_9>=1 && -2+arg1P_11<=1+arg1P_5 && 3<=1+arg1P_5 && 1<=-1+arg4P_11 ], cost: 3+arg2P_9 44: __init -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_12, [ arg1P_5<=arg1P_18 && arg1P_18>0 && arg1P_12>3 && arg2P_9>=1 && -2+arg1P_12<=1+arg1P_5 && 3<=1+arg1P_5 && 1<=-1+arg4P_12 ], cost: 3+arg2P_9 45: __init -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_13, [ arg1P_5<=arg1P_18 && arg1P_18>0 && arg1P_13>5 && arg2P_9>=1 && -3+arg1P_13<=1+arg1P_5 && 3<=1+arg1P_5 && 1<=-1+arg4P_13 ], cost: 3+arg2P_9 46: __init -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_14, [ arg1P_5<=arg1P_18 && arg1P_18>0 && arg1P_14>5 && arg2P_9>=1 && -3+arg1P_14<=1+arg1P_5 && 3<=1+arg1P_5 && 1<=-1+arg4P_14 ], cost: 3+arg2P_9 47: __init -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_11, [ arg1P_7<=arg1P_18 && arg1P_18>0 && arg1P_7>0 && arg1P_11>3 && arg2P_8>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=3+arg1P_7 ], cost: 3+arg2P_8 48: __init -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_12, [ arg1P_7<=arg1P_18 && arg1P_18>0 && arg1P_7>0 && arg1P_12>3 && arg2P_8>=1 && 1<=-1+arg4P_12 && -2+arg1P_12<=3+arg1P_7 ], cost: 3+arg2P_8 49: __init -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_13, [ arg1P_7<=arg1P_18 && arg1P_18>0 && arg1P_7>0 && arg1P_13>5 && arg2P_8>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=3+arg1P_7 ], cost: 3+arg2P_8 50: __init -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_14, [ arg1P_7<=arg1P_18 && arg1P_18>0 && arg1P_7>0 && arg1P_14>5 && arg2P_8>=1 && 1<=-1+arg4P_14 && -3+arg1P_14<=3+arg1P_7 ], cost: 3+arg2P_8 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 43: __init -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_11, [ arg1P_5<=arg1P_18 && arg1P_18>0 && arg1P_11>3 && arg2P_9>=1 && -2+arg1P_11<=1+arg1P_5 && 3<=1+arg1P_5 && 1<=-1+arg4P_11 ], cost: 3+arg2P_9 44: __init -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_12, [ arg1P_5<=arg1P_18 && arg1P_18>0 && arg1P_12>3 && arg2P_9>=1 && -2+arg1P_12<=1+arg1P_5 && 3<=1+arg1P_5 && 1<=-1+arg4P_12 ], cost: 3+arg2P_9 45: __init -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_13, [ arg1P_5<=arg1P_18 && arg1P_18>0 && arg1P_13>5 && arg2P_9>=1 && -3+arg1P_13<=1+arg1P_5 && 3<=1+arg1P_5 && 1<=-1+arg4P_13 ], cost: 3+arg2P_9 46: __init -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=0, arg3'=arg3P_9, arg4'=arg4P_14, [ arg1P_5<=arg1P_18 && arg1P_18>0 && arg1P_14>5 && arg2P_9>=1 && -3+arg1P_14<=1+arg1P_5 && 3<=1+arg1P_5 && 1<=-1+arg4P_14 ], cost: 3+arg2P_9 47: __init -> f1551_0_createTree_LE : arg1'=arg1P_11, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_11, [ arg1P_7<=arg1P_18 && arg1P_18>0 && arg1P_7>0 && arg1P_11>3 && arg2P_8>=1 && 1<=-1+arg4P_11 && -2+arg1P_11<=3+arg1P_7 ], cost: 3+arg2P_8 48: __init -> f1551_0_createTree_LE : arg1'=arg1P_12, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_12, [ arg1P_7<=arg1P_18 && arg1P_18>0 && arg1P_7>0 && arg1P_12>3 && arg2P_8>=1 && 1<=-1+arg4P_12 && -2+arg1P_12<=3+arg1P_7 ], cost: 3+arg2P_8 49: __init -> f1551_0_createTree_LE : arg1'=arg1P_13, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_13, [ arg1P_7<=arg1P_18 && arg1P_18>0 && arg1P_7>0 && arg1P_13>5 && arg2P_8>=1 && 1<=-1+arg4P_13 && -3+arg1P_13<=3+arg1P_7 ], cost: 3+arg2P_8 50: __init -> f1551_0_createTree_LE : arg1'=arg1P_14, arg2'=0, arg3'=arg3P_8, arg4'=arg4P_14, [ arg1P_7<=arg1P_18 && arg1P_18>0 && arg1P_7>0 && arg1P_14>5 && arg2P_8>=1 && 1<=-1+arg4P_14 && -3+arg1P_14<=3+arg1P_7 ], cost: 3+arg2P_8 Computing asymptotic complexity for rule 43 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 44 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 45 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 46 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 47 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 48 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 49 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 50 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),?)