WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f153_0_run_NULL : arg2'=arg2P0, arg1'=arg1P0, (1+arg2 > 0 /\ arg1 > 0 /\ -3+arg1P0 > 0 /\ -3+arg1P0-arg1 <= 0), cost: 1 1: f153_0_run_NULL -> f153_0_run_NULL : arg2'=arg2P1, arg1'=arg1P1, (1-arg1+arg1P1 <= 0 /\ arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 2: __init -> f1_0_main_Load : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f153_0_run_NULL : arg2'=arg2P0, arg1'=arg1P0, (1+arg2 > 0 /\ arg1 > 0 /\ -3+arg1P0 > 0 /\ -3+arg1P0-arg1 <= 0), cost: 1 New rule: f1_0_main_Load -> f153_0_run_NULL : arg2'=arg2P0, arg1'=arg1P0, (1+arg2 > 0 /\ -3+arg1P0 > 0 /\ -3+arg1P0-arg1 <= 0), cost: 1 Applied preprocessing Original rule: f153_0_run_NULL -> f153_0_run_NULL : arg2'=arg2P1, arg1'=arg1P1, (1-arg1+arg1P1 <= 0 /\ arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 New rule: f153_0_run_NULL -> f153_0_run_NULL : arg2'=arg2P1, arg1'=arg1P1, (1-arg1+arg1P1 <= 0 /\ 1+arg1P1 > 0), cost: 1 Simplified rules Start location: __init 3: f1_0_main_Load -> f153_0_run_NULL : arg2'=arg2P0, arg1'=arg1P0, (1+arg2 > 0 /\ -3+arg1P0 > 0 /\ -3+arg1P0-arg1 <= 0), cost: 1 4: f153_0_run_NULL -> f153_0_run_NULL : arg2'=arg2P1, arg1'=arg1P1, (1-arg1+arg1P1 <= 0 /\ 1+arg1P1 > 0), cost: 1 2: __init -> f1_0_main_Load : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Accelerated simple loops Start location: __init 3: f1_0_main_Load -> f153_0_run_NULL : arg2'=arg2P0, arg1'=arg1P0, (1+arg2 > 0 /\ -3+arg1P0 > 0 /\ -3+arg1P0-arg1 <= 0), cost: 1 4: f153_0_run_NULL -> f153_0_run_NULL : arg2'=arg2P1, arg1'=arg1P1, (1-arg1+arg1P1 <= 0 /\ 1+arg1P1 > 0), cost: 1 2: __init -> f1_0_main_Load : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f153_0_run_NULL : arg2'=arg2P0, arg1'=arg1P0, (1+arg2 > 0 /\ -3+arg1P0 > 0 /\ -3+arg1P0-arg1 <= 0), cost: 1 Second rule: f153_0_run_NULL -> f153_0_run_NULL : arg2'=arg2P1, arg1'=arg1P1, (1-arg1+arg1P1 <= 0 /\ 1+arg1P1 > 0), cost: 1 New rule: f1_0_main_Load -> f153_0_run_NULL : arg2'=arg2P1, arg1'=arg1P1, (-2-arg1+arg1P1 <= 0 /\ 1+arg2 > 0 /\ 1+arg1P1 > 0 /\ 1-arg1 <= 0), cost: 2 Applied deletion Removed the following rules: 4 Chained accelerated rules with incoming rules Start location: __init 3: f1_0_main_Load -> f153_0_run_NULL : arg2'=arg2P0, arg1'=arg1P0, (1+arg2 > 0 /\ -3+arg1P0 > 0 /\ -3+arg1P0-arg1 <= 0), cost: 1 5: f1_0_main_Load -> f153_0_run_NULL : arg2'=arg2P1, arg1'=arg1P1, (-2-arg1+arg1P1 <= 0 /\ 1+arg2 > 0 /\ 1+arg1P1 > 0 /\ 1-arg1 <= 0), cost: 2 2: __init -> f1_0_main_Load : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0