NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f289_0_createIntList_Return -> f491_0_random_ArrayAccess : arg1'=arg1P_1, arg2'=arg2P_1, [ arg1P_1<=arg1 && arg1>-1 && arg1P_1>-1 ], cost: 1 2: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1P_3<=arg1 && x7_1>0 && arg1>-1 && arg1P_3>-1 ], cost: 1 1: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && arg1P_2>-1 ], cost: 1 6: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P_7, arg2'=arg2P_7, [ arg2>-1 && arg1P_7>-1 && arg1>0 && 1==arg2P_7 ], cost: 1 3: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_4, arg2'=arg2P_4, [ 2+arg1P_4<=arg1 && x12_1<1 && arg1>1 && arg1P_4>-1 ], cost: 1 4: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_5, arg2'=arg2P_5, [ arg1P_5<=arg1 && x15_1>0 && arg1>0 && arg1P_5>0 ], cost: 1 5: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_6, arg2'=arg2P_6, [ 2+arg1P_6<=arg1 && x18_1<1 && arg1>2 && arg1P_6>0 ], cost: 1 7: f639_0_createIntList_LE -> f639_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: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1P_3<=arg1 && x7_1>0 && arg1>-1 && arg1P_3>-1 ], cost: 1 1: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && arg1P_2>-1 ], cost: 1 6: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P_7, arg2'=arg2P_7, [ arg2>-1 && arg1P_7>-1 && arg1>0 && 1==arg2P_7 ], cost: 1 3: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_4, arg2'=arg2P_4, [ 2+arg1P_4<=arg1 && x12_1<1 && arg1>1 && arg1P_4>-1 ], cost: 1 4: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_5, arg2'=arg2P_5, [ arg1P_5<=arg1 && x15_1>0 && arg1>0 && arg1P_5>0 ], cost: 1 5: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_6, arg2'=arg2P_6, [ 2+arg1P_6<=arg1 && x18_1<1 && arg1>2 && arg1P_6>0 ], cost: 1 7: f639_0_createIntList_LE -> f639_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: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1P_3<=arg1 && arg1>-1 && arg1P_3>-1 ], cost: 1 1: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && arg1P_2>-1 ], cost: 1 6: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P_7, arg2'=1, [ arg2>-1 && arg1P_7>-1 && arg1>0 ], cost: 1 3: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_4, arg2'=arg2P_4, [ 2+arg1P_4<=arg1 && arg1>1 && arg1P_4>-1 ], cost: 1 4: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_5, arg2'=arg2P_5, [ arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 5: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_6, arg2'=arg2P_6, [ 2+arg1P_6<=arg1 && arg1>2 && arg1P_6>0 ], cost: 1 7: f639_0_createIntList_LE -> f639_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: 3: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_4, arg2'=arg2P_4, [ 2+arg1P_4<=arg1 && arg1>1 && arg1P_4>-1 ], cost: 1 4: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_5, arg2'=arg2P_5, [ arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: 1 5: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_6, arg2'=arg2P_6, [ 2+arg1P_6<=arg1 && arg1>2 && arg1P_6>0 ], cost: 1 Failed to prove monotonicity of the guard of rule 3. Accelerated rule 4 with non-termination, yielding the new rule 9. Failed to prove monotonicity of the guard of rule 5. [accelerate] Nesting with 2 inner and 2 outer candidates Removing the simple loops: 4. Accelerating simple loops of location 4. Accelerating the following rules: 7: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=-1+arg1, arg2'=1+arg2, [ arg1>0 && arg2>0 ], cost: 1 Accelerated rule 7 with backward acceleration, yielding the new rule 10. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 7. Accelerated all simple loops using metering functions (where possible): Start location: __init 2: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1P_3<=arg1 && arg1>-1 && arg1P_3>-1 ], cost: 1 1: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && arg1P_2>-1 ], cost: 1 6: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P_7, arg2'=1, [ arg2>-1 && arg1P_7>-1 && arg1>0 ], cost: 1 3: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_4, arg2'=arg2P_4, [ 2+arg1P_4<=arg1 && arg1>1 && arg1P_4>-1 ], cost: 1 5: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P_6, arg2'=arg2P_6, [ 2+arg1P_6<=arg1 && arg1>2 && arg1P_6>0 ], cost: 1 9: f815_0_main_NULL -> [6] : [ arg1P_5<=arg1 && arg1>0 && arg1P_5>0 ], cost: NONTERM 10: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=0, arg2'=arg2+arg1, [ arg2>0 && arg1>=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: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1P_3<=arg1 && arg1>-1 && arg1P_3>-1 ], cost: 1 11: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P_4, arg2'=arg2P_4, [ arg1P_4>-1 && 2+arg1P_4<=arg1 && 2<=arg1 ], cost: 2 12: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P_6, arg2'=arg2P_6, [ arg1P_6>0 && 2+arg1P_6<=arg1 && 3<=arg1 ], cost: 2 13: f491_0_random_ArrayAccess -> [6] : [ 1<=arg1 ], cost: NONTERM 1: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && arg1P_2>-1 ], cost: 1 6: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P_7, arg2'=1, [ arg2>-1 && arg1P_7>-1 && arg1>0 ], cost: 1 14: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_7, [ arg2>-1 && arg1P_7>-1 && arg1>0 ], cost: 1+arg1P_7 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 13: f491_0_random_ArrayAccess -> [6] : [ 1<=arg1 ], cost: NONTERM 1: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1>0 && arg1P_2>-1 ], cost: 1 14: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_7, [ arg2>-1 && arg1P_7>-1 && arg1>0 ], cost: 1+arg1P_7 8: __init -> f1_0_main_Load : arg1'=arg1P_9, arg2'=arg2P_9, [], cost: 1 Eliminated locations (on linear paths): Start location: __init 14: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_7, [ arg2>-1 && arg1P_7>-1 && arg1>0 ], cost: 1+arg1P_7 15: f1_0_main_Load -> [6] : [ arg1>0 && 1<=arg1P_2 ], cost: NONTERM 8: __init -> f1_0_main_Load : arg1'=arg1P_9, arg2'=arg2P_9, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 16: __init -> f639_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_7, [ arg2P_9>-1 && arg1P_7>-1 && arg1P_9>0 ], cost: 2+arg1P_7 17: __init -> [6] : [ arg1P_9>0 && 1<=arg1P_2 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 16: __init -> f639_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_7, [ arg2P_9>-1 && arg1P_7>-1 && arg1P_9>0 ], cost: 2+arg1P_7 17: __init -> [6] : [ arg1P_9>0 && 1<=arg1P_2 ], cost: NONTERM Computing asymptotic complexity for rule 17 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_9>0 && 1<=arg1P_2 ] NO