NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f226_0_createIntList_Return -> f570_0_main_NULL : arg1'=arg1P_1, arg2'=arg2P_1, [ arg1P_1<=arg1 && -1+arg1P_1<=arg2 && arg2P_1<=arg2 && arg1>0 && arg2>-1 && arg1P_1>0 && arg2P_1>-1 ], cost: 1 2: f570_0_main_NULL -> f570_0_main_NULL : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1P_3<=arg1 && 1+arg1P_3<=arg2 && 1+arg2P_3<=arg1 && 2+arg2P_3<=arg2 && arg1>0 && arg2>1 && arg1P_3>0 && arg2P_3>-1 ], cost: 1 3: f570_0_main_NULL -> f570_0_main_NULL : arg1'=arg1P_4, arg2'=arg2P_4, [ x14_1>0 && x19_1>0 && arg1P_4<=arg1 && 2+arg1P_4<=arg2 && arg1>0 && arg2>2 && arg1P_4>0 && arg2P_4>-1 ], cost: 1 6: f570_0_main_NULL -> f726_0_reverse_NULL : arg1'=arg1P_7, arg2'=arg2P_7, [ x25_1>0 && x29_1>0 && 2+arg1P_7<=arg2 && arg1>0 && arg2>2 && arg1P_7>0 ], cost: 1 1: f1_0_main_Load -> f570_0_main_NULL : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f1_0_main_Load -> f507_0_createIntList_LE : arg1'=arg1P_5, arg2'=arg2P_5, [ arg2>-1 && arg1P_5>-1 && arg1>0 && 1==arg2P_5 ], cost: 1 5: f507_0_createIntList_LE -> f507_0_createIntList_LE : arg1'=arg1P_6, arg2'=arg2P_6, [ arg1>0 && arg2>0 && -1+arg1==arg1P_6 && 1+arg2==arg2P_6 ], cost: 1 7: f726_0_reverse_NULL -> f726_0_reverse_NULL : arg1'=arg1P_8, arg2'=arg2P_8, [ 1+arg1P_8<=arg1 && arg1>0 && arg1P_8>-1 ], 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: f570_0_main_NULL -> f570_0_main_NULL : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1P_3<=arg1 && 1+arg1P_3<=arg2 && 1+arg2P_3<=arg1 && 2+arg2P_3<=arg2 && arg1>0 && arg2>1 && arg1P_3>0 && arg2P_3>-1 ], cost: 1 3: f570_0_main_NULL -> f570_0_main_NULL : arg1'=arg1P_4, arg2'=arg2P_4, [ x14_1>0 && x19_1>0 && arg1P_4<=arg1 && 2+arg1P_4<=arg2 && arg1>0 && arg2>2 && arg1P_4>0 && arg2P_4>-1 ], cost: 1 6: f570_0_main_NULL -> f726_0_reverse_NULL : arg1'=arg1P_7, arg2'=arg2P_7, [ x25_1>0 && x29_1>0 && 2+arg1P_7<=arg2 && arg1>0 && arg2>2 && arg1P_7>0 ], cost: 1 1: f1_0_main_Load -> f570_0_main_NULL : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f1_0_main_Load -> f507_0_createIntList_LE : arg1'=arg1P_5, arg2'=arg2P_5, [ arg2>-1 && arg1P_5>-1 && arg1>0 && 1==arg2P_5 ], cost: 1 5: f507_0_createIntList_LE -> f507_0_createIntList_LE : arg1'=arg1P_6, arg2'=arg2P_6, [ arg1>0 && arg2>0 && -1+arg1==arg1P_6 && 1+arg2==arg2P_6 ], cost: 1 7: f726_0_reverse_NULL -> f726_0_reverse_NULL : arg1'=arg1P_8, arg2'=arg2P_8, [ 1+arg1P_8<=arg1 && arg1>0 && arg1P_8>-1 ], 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: f570_0_main_NULL -> f570_0_main_NULL : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1P_3<=arg1 && 1+arg1P_3<=arg2 && 1+arg2P_3<=arg1 && 2+arg2P_3<=arg2 && arg1>0 && arg2>1 && arg1P_3>0 && arg2P_3>-1 ], cost: 1 3: f570_0_main_NULL -> f570_0_main_NULL : arg1'=arg1P_4, arg2'=arg2P_4, [ arg1P_4<=arg1 && 2+arg1P_4<=arg2 && arg1>0 && arg2>2 && arg1P_4>0 && arg2P_4>-1 ], cost: 1 6: f570_0_main_NULL -> f726_0_reverse_NULL : arg1'=arg1P_7, arg2'=arg2P_7, [ 2+arg1P_7<=arg2 && arg1>0 && arg2>2 && arg1P_7>0 ], cost: 1 1: f1_0_main_Load -> f570_0_main_NULL : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f1_0_main_Load -> f507_0_createIntList_LE : arg1'=arg1P_5, arg2'=1, [ arg2>-1 && arg1P_5>-1 && arg1>0 ], cost: 1 5: f507_0_createIntList_LE -> f507_0_createIntList_LE : arg1'=-1+arg1, arg2'=1+arg2, [ arg1>0 && arg2>0 ], cost: 1 7: f726_0_reverse_NULL -> f726_0_reverse_NULL : arg1'=arg1P_8, arg2'=arg2P_8, [ 1+arg1P_8<=arg1 && arg1>0 && arg1P_8>-1 ], 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 1. Accelerating the following rules: 2: f570_0_main_NULL -> f570_0_main_NULL : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1P_3<=arg1 && 1+arg1P_3<=arg2 && 1+arg2P_3<=arg1 && 2+arg2P_3<=arg2 && arg1>0 && arg2>1 && arg1P_3>0 && arg2P_3>-1 ], cost: 1 3: f570_0_main_NULL -> f570_0_main_NULL : arg1'=arg1P_4, arg2'=arg2P_4, [ arg1P_4<=arg1 && 2+arg1P_4<=arg2 && arg1>0 && arg2>2 && arg1P_4>0 && arg2P_4>-1 ], cost: 1 Failed to prove monotonicity of the guard of rule 2. Accelerated rule 3 with non-termination, yielding the new rule 9. [accelerate] Nesting with 1 inner and 2 outer candidates Accelerating simple loops of location 3. Accelerating the following rules: 5: f507_0_createIntList_LE -> f507_0_createIntList_LE : arg1'=-1+arg1, arg2'=1+arg2, [ arg1>0 && arg2>0 ], cost: 1 Accelerated rule 5 with backward acceleration, yielding the new rule 10. [accelerate] Nesting with 1 inner and 1 outer candidates Removing the simple loops: 5. Accelerating simple loops of location 4. Accelerating the following rules: 7: f726_0_reverse_NULL -> f726_0_reverse_NULL : arg1'=arg1P_8, arg2'=arg2P_8, [ 1+arg1P_8<=arg1 && arg1>0 && arg1P_8>-1 ], cost: 1 Failed to prove monotonicity of the guard of rule 7. [accelerate] Nesting with 1 inner and 1 outer candidates Accelerated all simple loops using metering functions (where possible): Start location: __init 2: f570_0_main_NULL -> f570_0_main_NULL : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1P_3<=arg1 && 1+arg1P_3<=arg2 && 1+arg2P_3<=arg1 && 2+arg2P_3<=arg2 && arg1>0 && arg2>1 && arg1P_3>0 && arg2P_3>-1 ], cost: 1 3: f570_0_main_NULL -> f570_0_main_NULL : arg1'=arg1P_4, arg2'=arg2P_4, [ arg1P_4<=arg1 && 2+arg1P_4<=arg2 && arg1>0 && arg2>2 && arg1P_4>0 && arg2P_4>-1 ], cost: 1 6: f570_0_main_NULL -> f726_0_reverse_NULL : arg1'=arg1P_7, arg2'=arg2P_7, [ 2+arg1P_7<=arg2 && arg1>0 && arg2>2 && arg1P_7>0 ], cost: 1 9: f570_0_main_NULL -> [6] : [ arg1P_4<=arg1 && 2+arg1P_4<=arg2 && arg1>0 && arg2>2 && arg1P_4>0 && 2+arg1P_4<=arg2P_4 && arg2P_4>2 ], cost: NONTERM 1: f1_0_main_Load -> f570_0_main_NULL : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f1_0_main_Load -> f507_0_createIntList_LE : arg1'=arg1P_5, arg2'=1, [ arg2>-1 && arg1P_5>-1 && arg1>0 ], cost: 1 10: f507_0_createIntList_LE -> f507_0_createIntList_LE : arg1'=0, arg2'=arg2+arg1, [ arg2>0 && arg1>=0 ], cost: arg1 7: f726_0_reverse_NULL -> f726_0_reverse_NULL : arg1'=arg1P_8, arg2'=arg2P_8, [ 1+arg1P_8<=arg1 && arg1>0 && arg1P_8>-1 ], cost: 1 8: __init -> f1_0_main_Load : arg1'=arg1P_9, arg2'=arg2P_9, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 6: f570_0_main_NULL -> f726_0_reverse_NULL : arg1'=arg1P_7, arg2'=arg2P_7, [ 2+arg1P_7<=arg2 && arg1>0 && arg2>2 && arg1P_7>0 ], cost: 1 15: f570_0_main_NULL -> f726_0_reverse_NULL : arg1'=arg1P_8, arg2'=arg2P_8, [ arg1>0 && arg2>2 && arg1P_8>-1 && 1+arg1P_8<=-2+arg2 ], cost: 2 1: f1_0_main_Load -> f570_0_main_NULL : arg1'=arg1P_2, arg2'=arg2P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f1_0_main_Load -> f507_0_createIntList_LE : arg1'=arg1P_5, arg2'=1, [ arg2>-1 && arg1P_5>-1 && arg1>0 ], cost: 1 11: f1_0_main_Load -> f570_0_main_NULL : arg1'=arg1P_3, arg2'=arg2P_3, [ arg1>0 && arg1P_3>0 && arg2P_3>-1 && arg1P_3<=arg1 && 1+arg2P_3<=arg1 ], cost: 2 12: f1_0_main_Load -> f570_0_main_NULL : arg1'=arg1P_4, arg2'=arg2P_4, [ arg1>0 && arg1P_4>0 && arg2P_4>-1 && arg1P_4<=arg1 ], cost: 2 13: f1_0_main_Load -> [6] : [ arg1>0 ], cost: NONTERM 14: f1_0_main_Load -> f507_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_5, [ arg2>-1 && arg1P_5>-1 && arg1>0 ], cost: 1+arg1P_5 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: f1_0_main_Load -> [6] : [ arg1>0 ], cost: NONTERM 14: f1_0_main_Load -> f507_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_5, [ arg2>-1 && arg1P_5>-1 && arg1>0 ], cost: 1+arg1P_5 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 -> [6] : [ arg1P_9>0 ], cost: NONTERM 17: __init -> f507_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_5, [ arg2P_9>-1 && arg1P_5>-1 && arg1P_9>0 ], cost: 2+arg1P_5 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 16: __init -> [6] : [ arg1P_9>0 ], cost: NONTERM 17: __init -> f507_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_5, [ arg2P_9>-1 && arg1P_5>-1 && arg1P_9>0 ], cost: 2+arg1P_5 Computing asymptotic complexity for rule 16 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 ] NO