WORST_CASE(INF,?)

### Pre-processing the ITS problem ###

Initial linear ITS problem
   Start location: __init
      0: f297_0_createIntList_Return -> f508_0_random_ArrayAccess : arg1'=arg1P_1, arg2'=arg2P_1, [ arg1P_1<=arg1 && arg1>-1 && arg1P_1>-1 ], cost: 1
      2: f508_0_random_ArrayAccess -> f698_0_nth_LE : arg1'=arg1P_3, arg2'=arg2P_3, [ arg2P_3>-1 && x7_1>0 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 ], cost: 1
      1: f1_0_main_Load -> f508_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && arg1P_2>-1 ], cost: 1
      6: f1_0_main_Load -> f658_0_createIntList_LE : arg1'=arg1P_7, arg2'=arg2P_7, [ arg2>-1 && arg1P_7>-1 && arg1>0 && 1==arg2P_7 ], cost: 1
      3: f698_0_nth_LE -> f746_0_main_LE : arg1'=arg1P_4, arg2'=arg2P_4, [ arg1>0 && arg2<2 && 2+arg1P_4<=arg1 ], cost: 1
      4: f698_0_nth_LE -> f698_0_nth_LE : arg1'=arg1P_5, arg2'=arg2P_5, [ 1+arg1P_5<=arg1 && arg2>1 && arg1>0 && arg1P_5>-1 && -1+arg2==arg2P_5 ], cost: 1
      5: f746_0_main_LE -> f746_0_main_LE : arg1'=arg1P_6, arg2'=arg2P_6, [ arg1>0 && -1+arg1==arg1P_6 ], cost: 1
      7: f658_0_createIntList_LE -> f658_0_createIntList_LE : arg1'=arg1P_8, arg2'=arg2P_8, [ arg1>0 && arg2>0 && -1+arg1==arg1P_8 && 1+arg2==arg2P_8 ], cost: 1
      8: __init -> f1_0_main_Load : arg1'=arg1P_9, arg2'=arg2P_9, [], cost: 1

Checking for constant complexity:
   The following rule is satisfiable with cost >= 1, yielding constant complexity:
      8: __init -> f1_0_main_Load : arg1'=arg1P_9, arg2'=arg2P_9, [], cost: 1

Removed unreachable and leaf rules:
   Start location: __init
      2: f508_0_random_ArrayAccess -> f698_0_nth_LE : arg1'=arg1P_3, arg2'=arg2P_3, [ arg2P_3>-1 && x7_1>0 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 ], cost: 1
      1: f1_0_main_Load -> f508_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && arg1P_2>-1 ], cost: 1
      6: f1_0_main_Load -> f658_0_createIntList_LE : arg1'=arg1P_7, arg2'=arg2P_7, [ arg2>-1 && arg1P_7>-1 && arg1>0 && 1==arg2P_7 ], cost: 1
      3: f698_0_nth_LE -> f746_0_main_LE : arg1'=arg1P_4, arg2'=arg2P_4, [ arg1>0 && arg2<2 && 2+arg1P_4<=arg1 ], cost: 1
      4: f698_0_nth_LE -> f698_0_nth_LE : arg1'=arg1P_5, arg2'=arg2P_5, [ 1+arg1P_5<=arg1 && arg2>1 && arg1>0 && arg1P_5>-1 && -1+arg2==arg2P_5 ], cost: 1
      5: f746_0_main_LE -> f746_0_main_LE : arg1'=arg1P_6, arg2'=arg2P_6, [ arg1>0 && -1+arg1==arg1P_6 ], cost: 1
      7: f658_0_createIntList_LE -> f658_0_createIntList_LE : arg1'=arg1P_8, arg2'=arg2P_8, [ arg1>0 && arg2>0 && -1+arg1==arg1P_8 && 1+arg2==arg2P_8 ], cost: 1
      8: __init -> f1_0_main_Load : arg1'=arg1P_9, arg2'=arg2P_9, [], cost: 1

Simplified all rules, resulting in:
   Start location: __init
      2: f508_0_random_ArrayAccess -> f698_0_nth_LE : arg1'=arg1P_3, arg2'=arg2P_3, [ arg2P_3>-1 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 ], cost: 1
      1: f1_0_main_Load -> f508_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && arg1P_2>-1 ], cost: 1
      6: f1_0_main_Load -> f658_0_createIntList_LE : arg1'=arg1P_7, arg2'=1, [ arg2>-1 && arg1P_7>-1 && arg1>0 ], cost: 1
      3: f698_0_nth_LE -> f746_0_main_LE : arg1'=arg1P_4, arg2'=arg2P_4, [ arg1>0 && arg2<2 && 2+arg1P_4<=arg1 ], cost: 1
      4: f698_0_nth_LE -> f698_0_nth_LE : arg1'=arg1P_5, arg2'=-1+arg2, [ 1+arg1P_5<=arg1 && arg2>1 && arg1>0 && arg1P_5>-1 ], cost: 1
      5: f746_0_main_LE -> f746_0_main_LE : arg1'=-1+arg1, arg2'=arg2P_6, [ arg1>0 ], cost: 1
      7: f658_0_createIntList_LE -> f658_0_createIntList_LE : arg1'=-1+arg1, arg2'=1+arg2, [ arg1>0 && arg2>0 ], cost: 1
      8: __init -> f1_0_main_Load : arg1'=arg1P_9, arg2'=arg2P_9, [], cost: 1

### Simplification by acceleration and chaining ###

Accelerating simple loops of location 3.
   Accelerating the following rules:
      4: f698_0_nth_LE -> f698_0_nth_LE : arg1'=arg1P_5, arg2'=-1+arg2, [ 1+arg1P_5<=arg1 && arg2>1 && arg1>0 && arg1P_5>-1 ], cost: 1

   Found no metering function for rule 4.
   Removing the simple loops:.

Accelerating simple loops of location 4.
   Accelerating the following rules:
      5: f746_0_main_LE -> f746_0_main_LE : arg1'=-1+arg1, arg2'=arg2P_6, [ arg1>0 ], cost: 1

   Accelerated rule 5 with metering function arg1, yielding the new rule 9.
   Removing the simple loops: 5.

Accelerating simple loops of location 5.
   Accelerating the following rules:
      7: f658_0_createIntList_LE -> f658_0_createIntList_LE : arg1'=-1+arg1, arg2'=1+arg2, [ arg1>0 && arg2>0 ], cost: 1

   Accelerated rule 7 with metering function arg1, yielding the new rule 10.
   Removing the simple loops: 7.

Accelerated all simple loops using metering functions (where possible):
   Start location: __init
      2: f508_0_random_ArrayAccess -> f698_0_nth_LE : arg1'=arg1P_3, arg2'=arg2P_3, [ arg2P_3>-1 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 ], cost: 1
      1: f1_0_main_Load -> f508_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && arg1P_2>-1 ], cost: 1
      6: f1_0_main_Load -> f658_0_createIntList_LE : arg1'=arg1P_7, arg2'=1, [ arg2>-1 && arg1P_7>-1 && arg1>0 ], cost: 1
      3: f698_0_nth_LE -> f746_0_main_LE : arg1'=arg1P_4, arg2'=arg2P_4, [ arg1>0 && arg2<2 && 2+arg1P_4<=arg1 ], cost: 1
      4: f698_0_nth_LE -> f698_0_nth_LE : arg1'=arg1P_5, arg2'=-1+arg2, [ 1+arg1P_5<=arg1 && arg2>1 && arg1>0 && arg1P_5>-1 ], cost: 1
      9: f746_0_main_LE -> f746_0_main_LE : arg1'=0, arg2'=arg2P_6, [ arg1>0 ], cost: arg1
     10: f658_0_createIntList_LE -> f658_0_createIntList_LE : arg1'=0, arg2'=arg1+arg2, [ arg1>0 && arg2>0 ], cost: arg1
      8: __init -> f1_0_main_Load : arg1'=arg1P_9, arg2'=arg2P_9, [], cost: 1

Chained accelerated rules (with incoming rules):
   Start location: __init
      2: f508_0_random_ArrayAccess -> f698_0_nth_LE : arg1'=arg1P_3, arg2'=arg2P_3, [ arg2P_3>-1 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 ], cost: 1
     11: f508_0_random_ArrayAccess -> f698_0_nth_LE : arg1'=arg1P_5, arg2'=-1+arg2P_3, [ arg1>0 && arg2P_3>1 && arg1P_5>-1 && 1+arg1P_5<=arg1 ], cost: 2
      1: f1_0_main_Load -> f508_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && arg1P_2>-1 ], cost: 1
      6: f1_0_main_Load -> f658_0_createIntList_LE : arg1'=arg1P_7, arg2'=1, [ arg2>-1 && arg1P_7>-1 && arg1>0 ], cost: 1
     13: f1_0_main_Load -> f658_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_7, [ arg2>-1 && arg1>0 && arg1P_7>0 ], cost: 1+arg1P_7
      3: f698_0_nth_LE -> f746_0_main_LE : arg1'=arg1P_4, arg2'=arg2P_4, [ arg1>0 && arg2<2 && 2+arg1P_4<=arg1 ], cost: 1
     12: f698_0_nth_LE -> f746_0_main_LE : arg1'=0, arg2'=arg2P_6, [ arg1>0 && arg2<2 && 2+arg1P_4<=arg1 && arg1P_4>0 ], cost: 1+arg1P_4
      8: __init -> f1_0_main_Load : arg1'=arg1P_9, arg2'=arg2P_9, [], cost: 1

Removed unreachable locations (and leaf rules with constant cost):
   Start location: __init
      2: f508_0_random_ArrayAccess -> f698_0_nth_LE : arg1'=arg1P_3, arg2'=arg2P_3, [ arg2P_3>-1 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 ], cost: 1
     11: f508_0_random_ArrayAccess -> f698_0_nth_LE : arg1'=arg1P_5, arg2'=-1+arg2P_3, [ arg1>0 && arg2P_3>1 && arg1P_5>-1 && 1+arg1P_5<=arg1 ], cost: 2
      1: f1_0_main_Load -> f508_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && arg1P_2>-1 ], cost: 1
     13: f1_0_main_Load -> f658_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_7, [ arg2>-1 && arg1>0 && arg1P_7>0 ], cost: 1+arg1P_7
     12: f698_0_nth_LE -> f746_0_main_LE : arg1'=0, arg2'=arg2P_6, [ arg1>0 && arg2<2 && 2+arg1P_4<=arg1 && arg1P_4>0 ], cost: 1+arg1P_4
      8: __init -> f1_0_main_Load : arg1'=arg1P_9, arg2'=arg2P_9, [], cost: 1

Eliminated locations (on tree-shaped paths):
   Start location: __init
     16: f508_0_random_ArrayAccess -> f746_0_main_LE : arg1'=0, arg2'=arg2P_6, [ arg2P_3>-1 && arg1P_3<=arg1 && arg1>0 && arg1P_3>0 && arg2P_3<2 && 2+arg1P_4<=arg1P_3 && arg1P_4>0 ], cost: 2+arg1P_4
     17: f508_0_random_ArrayAccess -> f746_0_main_LE : arg1'=0, arg2'=arg2P_6, [ arg1>0 && arg2P_3>1 && 1+arg1P_5<=arg1 && arg1P_5>0 && -1+arg2P_3<2 && 2+arg1P_4<=arg1P_5 && arg1P_4>0 ], cost: 3+arg1P_4
     14: __init -> f508_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1P_9>0 && arg1P_2>-1 ], cost: 2
     15: __init -> f658_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_7, [ arg2P_9>-1 && arg1P_9>0 && arg1P_7>0 ], cost: 2+arg1P_7

Eliminated locations (on tree-shaped paths):
   Start location: __init
     15: __init -> f658_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_7, [ arg2P_9>-1 && arg1P_9>0 && arg1P_7>0 ], cost: 2+arg1P_7
     18: __init -> f746_0_main_LE : arg1'=0, arg2'=arg2P_6, [ arg1P_9>0 && arg2P_3>-1 && arg1P_3<=arg1P_2 && arg1P_2>0 && arg1P_3>0 && arg2P_3<2 && 2+arg1P_4<=arg1P_3 && arg1P_4>0 ], cost: 4+arg1P_4
     19: __init -> f746_0_main_LE : arg1'=0, arg2'=arg2P_6, [ arg1P_9>0 && arg1P_2>0 && arg2P_3>1 && 1+arg1P_5<=arg1P_2 && arg1P_5>0 && -1+arg2P_3<2 && 2+arg1P_4<=arg1P_5 && arg1P_4>0 ], cost: 5+arg1P_4

### Computing asymptotic complexity ###

Fully simplified ITS problem
   Start location: __init
     15: __init -> f658_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_7, [ arg2P_9>-1 && arg1P_9>0 && arg1P_7>0 ], cost: 2+arg1P_7
     18: __init -> f746_0_main_LE : arg1'=0, arg2'=arg2P_6, [ arg1P_9>0 && arg2P_3>-1 && arg1P_3<=arg1P_2 && arg1P_2>0 && arg1P_3>0 && arg2P_3<2 && 2+arg1P_4<=arg1P_3 && arg1P_4>0 ], cost: 4+arg1P_4
     19: __init -> f746_0_main_LE : arg1'=0, arg2'=arg2P_6, [ arg1P_9>0 && arg1P_2>0 && arg2P_3>1 && 1+arg1P_5<=arg1P_2 && arg1P_5>0 && -1+arg2P_3<2 && 2+arg1P_4<=arg1P_5 && arg1P_4>0 ], cost: 5+arg1P_4

Computing asymptotic complexity for rule 15
   Solved the limit problem by the following transformations:
      Created initial limit problem:
      arg1P_7 (+/+!), 2+arg1P_7 (+), arg1P_9 (+/+!), 1+arg2P_9 (+/+!) [not solved]

      removing all constraints (solved by SMT)
      resulting limit problem: [solved]

      applying transformation rule (C) using substitution {arg1P_7==n,arg1P_9==n,arg2P_9==n}
      resulting limit problem:
      [solved]

   Solution:
      arg1P_7 / n
      arg1P_9 / n
      arg2P_9 / n
   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:   2+arg1P_7
   Rule guard:  [ arg2P_9>-1 && arg1P_9>0 && arg1P_7>0 ]

WORST_CASE(INF,?)