NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_ConstantStackPush -> f40_0_sum_InvokeMethod : arg1'=arg1P_1, arg2'=arg2P_1, [ 0>=-arg2 && arg2>-1 && 2>-arg2 && 1>-arg2 && arg1>0 && -1-arg2==arg1P_1 && -2-arg2==arg2P_1 ], cost: 1 1: f40_0_sum_InvokeMethod -> f40_0_sum_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, [ arg2<1 && arg2<0 && arg2 f1_0_main_ConstantStackPush : arg1'=arg1P_3, arg2'=arg2P_3, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_3, arg2'=arg2P_3, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_ConstantStackPush -> f40_0_sum_InvokeMethod : arg1'=-1-arg2, arg2'=-2-arg2, [ 0>=-arg2 && arg1>0 ], cost: 1 1: f40_0_sum_InvokeMethod -> f40_0_sum_InvokeMethod : arg1'=arg2, arg2'=-1+arg2, [ arg2 f1_0_main_ConstantStackPush : arg1'=arg1P_3, arg2'=arg2P_3, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 1. Accelerating the following rules: 1: f40_0_sum_InvokeMethod -> f40_0_sum_InvokeMethod : arg1'=arg2, arg2'=-1+arg2, [ arg2 f40_0_sum_InvokeMethod : arg1'=-1-arg2, arg2'=-2-arg2, [ 0>=-arg2 && arg1>0 ], cost: 1 3: f40_0_sum_InvokeMethod -> [3] : [ arg2 f1_0_main_ConstantStackPush : arg1'=arg1P_3, arg2'=arg2P_3, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_ConstantStackPush -> f40_0_sum_InvokeMethod : arg1'=-1-arg2, arg2'=-2-arg2, [ 0>=-arg2 && arg1>0 ], cost: 1 4: f1_0_main_ConstantStackPush -> [3] : [ 0>=-arg2 && arg1>0 ], cost: NONTERM 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_3, arg2'=arg2P_3, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 4: f1_0_main_ConstantStackPush -> [3] : [ 0>=-arg2 && arg1>0 ], cost: NONTERM 2: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P_3, arg2'=arg2P_3, [], cost: 1 Eliminated locations (on linear paths): Start location: __init 5: __init -> [3] : [ 0>=-arg2P_3 && arg1P_3>0 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 5: __init -> [3] : [ 0>=-arg2P_3 && arg1P_3>0 ], cost: NONTERM Computing asymptotic complexity for rule 5 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: [ 0>=-arg2P_3 && arg1P_3>0 ] NO