NO Initial ITS Start location: __init 0: f1_0_main_New -> f81_0_loop_InvokeMethod : arg1'=arg1P0, 1+arg1P0 > 0, cost: 1 1: f81_0_loop_InvokeMethod -> f81_0_loop_InvokeMethod : arg1'=arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 2: __init -> f1_0_main_New : arg1'=arg1P2, TRUE, cost: 1 Applied acceleration Original rule: f81_0_loop_InvokeMethod -> f81_0_loop_InvokeMethod : arg1'=arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 New rule: f81_0_loop_InvokeMethod -> f81_0_loop_InvokeMethod : arg1'=arg1P1, (arg1 > 0 /\ -1+n0 >= 0 /\ arg1P1 > 0 /\ 1+arg1P1 > 0), cost: n0 Applied unrolling Original rule: f81_0_loop_InvokeMethod -> f81_0_loop_InvokeMethod : arg1'=arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 New rule: f81_0_loop_InvokeMethod -> f81_0_loop_InvokeMethod : arg1'=arg1P1, (arg1 > 0 /\ arg1P1 > 0 /\ 1+arg1P1 > 0), cost: 2 Applied non-termination processor Original rule: f81_0_loop_InvokeMethod -> f81_0_loop_InvokeMethod : arg1'=arg1P1, (arg1 > 0 /\ arg1P1 > 0 /\ 1+arg1P1 > 0), cost: 2 New rule: f81_0_loop_InvokeMethod -> [3] : (arg1 > 0 /\ arg1P1 > 0 /\ 1+arg1P1 > 0), cost: NONTERM Applied simplification Original rule: f81_0_loop_InvokeMethod -> f81_0_loop_InvokeMethod : arg1'=arg1P1, (arg1 > 0 /\ -1+n0 >= 0 /\ arg1P1 > 0 /\ 1+arg1P1 > 0), cost: n0 New rule: f81_0_loop_InvokeMethod -> f81_0_loop_InvokeMethod : arg1'=arg1P1, (arg1 > 0 /\ -1+n0 >= 0 /\ arg1P1 > 0), cost: n0 Applied simplification Original rule: f81_0_loop_InvokeMethod -> [3] : (arg1 > 0 /\ arg1P1 > 0 /\ 1+arg1P1 > 0), cost: NONTERM New rule: f81_0_loop_InvokeMethod -> [3] : (arg1 > 0 /\ arg1P1 > 0), cost: NONTERM Applied deletion Removed the following rules: 1 Accelerated simple loops Start location: __init 0: f1_0_main_New -> f81_0_loop_InvokeMethod : arg1'=arg1P0, 1+arg1P0 > 0, cost: 1 5: f81_0_loop_InvokeMethod -> f81_0_loop_InvokeMethod : arg1'=arg1P1, (arg1 > 0 /\ -1+n0 >= 0 /\ arg1P1 > 0), cost: n0 6: f81_0_loop_InvokeMethod -> [3] : (arg1 > 0 /\ arg1P1 > 0), cost: NONTERM 2: __init -> f1_0_main_New : arg1'=arg1P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_New -> f81_0_loop_InvokeMethod : arg1'=arg1P0, 1+arg1P0 > 0, cost: 1 Second rule: f81_0_loop_InvokeMethod -> f81_0_loop_InvokeMethod : arg1'=arg1P1, (arg1 > 0 /\ -1+n0 >= 0 /\ arg1P1 > 0), cost: n0 New rule: f1_0_main_New -> f81_0_loop_InvokeMethod : arg1'=arg1P1, (-1+n0 >= 0 /\ arg1P1 > 0), cost: 1+n0 Applied chaining First rule: f1_0_main_New -> f81_0_loop_InvokeMethod : arg1'=arg1P0, 1+arg1P0 > 0, cost: 1 Second rule: f81_0_loop_InvokeMethod -> [3] : (arg1 > 0 /\ arg1P1 > 0), cost: NONTERM New rule: f1_0_main_New -> [3] : TRUE, cost: NONTERM Applied deletion Removed the following rules: 5 6 Chained accelerated rules with incoming rules Start location: __init 0: f1_0_main_New -> f81_0_loop_InvokeMethod : arg1'=arg1P0, 1+arg1P0 > 0, cost: 1 7: f1_0_main_New -> f81_0_loop_InvokeMethod : arg1'=arg1P1, (-1+n0 >= 0 /\ arg1P1 > 0), cost: 1+n0 8: f1_0_main_New -> [3] : TRUE, cost: NONTERM 2: __init -> f1_0_main_New : arg1'=arg1P2, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 8: f1_0_main_New -> [3] : TRUE, cost: NONTERM 2: __init -> f1_0_main_New : arg1'=arg1P2, TRUE, cost: 1 Eliminating location f1_0_main_New by chaining: Applied chaining First rule: __init -> f1_0_main_New : arg1'=arg1P2, TRUE, cost: 1 Second rule: f1_0_main_New -> [3] : TRUE, cost: NONTERM New rule: __init -> [3] : TRUE, cost: NONTERM Applied deletion Removed the following rules: 2 8 Eliminated locations on linear paths Start location: __init 9: __init -> [3] : TRUE, cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 9 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: TRUE