WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_New -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 1 1: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3P1, (arg1P1-arg1 <= 0 /\ arg1P1 > 0 /\ 1-arg2P1 == 0 /\ 1+arg6P1-arg1 <= 0 /\ 1-arg4P1 == 0 /\ 1-arg3P1 == 0 /\ arg1 > 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg6P1 > 0), cost: 1 2: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (arg2 > 0 /\ arg5-arg3 < 0 /\ 1+arg6 > 0 /\ arg1 > 0 /\ -1+arg1-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2+arg5-arg1 <= 0 /\ arg6-arg1P2 >= 0 /\ -arg4+arg3 == 0), cost: 1 3: f160_0_factorial_GT -> f160_0_factorial_GT : arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, (1-arg3P3+arg3 == 0 /\ arg2 > 0 /\ arg5-arg3 >= 0 /\ -arg1+arg1P3 <= 0 /\ arg5-arg5P3 == 0 /\ 1-arg4P3+arg3 == 0 /\ -arg2P3+arg2*arg3 == 0 /\ 1+arg6 > 0 /\ arg1 > 0 /\ 1+arg6P3-arg1 <= 0 /\ 1+arg6P3 > 0 /\ arg3 > 0 /\ arg1P3 > 0 /\ arg6P3-arg6 <= 0 /\ 2+arg5-arg1 <= 0 /\ -arg4+arg3 == 0), cost: 1 4: __init -> f1_0_main_New : arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, TRUE, cost: 1 Applied preprocessing Original rule: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=arg2P1, arg4'=arg4P1, arg1'=arg1P1, arg6'=arg6P1, arg3'=arg3P1, (arg1P1-arg1 <= 0 /\ arg1P1 > 0 /\ 1-arg2P1 == 0 /\ 1+arg6P1-arg1 <= 0 /\ 1-arg4P1 == 0 /\ 1-arg3P1 == 0 /\ arg1 > 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg6P1 > 0), cost: 1 New rule: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=1, arg4'=1, arg1'=arg1P1, arg6'=arg6P1, arg3'=1, (arg1P1-arg1 <= 0 /\ arg1P1 > 0 /\ 1+arg6P1-arg1 <= 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg6P1 > 0), cost: 1 Applied preprocessing Original rule: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (arg2 > 0 /\ arg5-arg3 < 0 /\ 1+arg6 > 0 /\ arg1 > 0 /\ -1+arg1-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2+arg5-arg1 <= 0 /\ arg6-arg1P2 >= 0 /\ -arg4+arg3 == 0), cost: 1 New rule: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (arg2 > 0 /\ -arg5+arg3 > 0 /\ -1+arg1-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2+arg5-arg1 <= 0 /\ arg6-arg1P2 >= 0 /\ -arg4+arg3 == 0), cost: 1 Applied preprocessing Original rule: f160_0_factorial_GT -> f160_0_factorial_GT : arg5'=arg5P3, arg2'=arg2P3, arg4'=arg4P3, arg1'=arg1P3, arg6'=arg6P3, arg3'=arg3P3, (1-arg3P3+arg3 == 0 /\ arg2 > 0 /\ arg5-arg3 >= 0 /\ -arg1+arg1P3 <= 0 /\ arg5-arg5P3 == 0 /\ 1-arg4P3+arg3 == 0 /\ -arg2P3+arg2*arg3 == 0 /\ 1+arg6 > 0 /\ arg1 > 0 /\ 1+arg6P3-arg1 <= 0 /\ 1+arg6P3 > 0 /\ arg3 > 0 /\ arg1P3 > 0 /\ arg6P3-arg6 <= 0 /\ 2+arg5-arg1 <= 0 /\ -arg4+arg3 == 0), cost: 1 New rule: f160_0_factorial_GT -> f160_0_factorial_GT : arg2'=arg2*arg3, arg4'=1+arg3, arg1'=arg1P3, arg6'=arg6P3, arg3'=1+arg3, (arg2 > 0 /\ arg5-arg3 >= 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg6P3-arg1 <= 0 /\ 1+arg6P3 > 0 /\ arg3 > 0 /\ arg1P3 > 0 /\ arg6P3-arg6 <= 0 /\ 2+arg5-arg1 <= 0 /\ -arg4+arg3 == 0), cost: 1 Simplified rules Start location: __init 0: f1_0_main_New -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 1 5: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=1, arg4'=1, arg1'=arg1P1, arg6'=arg6P1, arg3'=1, (arg1P1-arg1 <= 0 /\ arg1P1 > 0 /\ 1+arg6P1-arg1 <= 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg6P1 > 0), cost: 1 6: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (arg2 > 0 /\ -arg5+arg3 > 0 /\ -1+arg1-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2+arg5-arg1 <= 0 /\ arg6-arg1P2 >= 0 /\ -arg4+arg3 == 0), cost: 1 7: f160_0_factorial_GT -> f160_0_factorial_GT : arg2'=arg2*arg3, arg4'=1+arg3, arg1'=arg1P3, arg6'=arg6P3, arg3'=1+arg3, (arg2 > 0 /\ arg5-arg3 >= 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg6P3-arg1 <= 0 /\ 1+arg6P3 > 0 /\ arg3 > 0 /\ arg1P3 > 0 /\ arg6P3-arg6 <= 0 /\ 2+arg5-arg1 <= 0 /\ -arg4+arg3 == 0), cost: 1 4: __init -> f1_0_main_New : arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, TRUE, cost: 1 Accelerated simple loops Start location: __init 0: f1_0_main_New -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 1 5: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=1, arg4'=1, arg1'=arg1P1, arg6'=arg6P1, arg3'=1, (arg1P1-arg1 <= 0 /\ arg1P1 > 0 /\ 1+arg6P1-arg1 <= 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg6P1 > 0), cost: 1 6: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (arg2 > 0 /\ -arg5+arg3 > 0 /\ -1+arg1-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2+arg5-arg1 <= 0 /\ arg6-arg1P2 >= 0 /\ -arg4+arg3 == 0), cost: 1 7: f160_0_factorial_GT -> f160_0_factorial_GT : arg2'=arg2*arg3, arg4'=1+arg3, arg1'=arg1P3, arg6'=arg6P3, arg3'=1+arg3, (arg2 > 0 /\ arg5-arg3 >= 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg6P3-arg1 <= 0 /\ 1+arg6P3 > 0 /\ arg3 > 0 /\ arg1P3 > 0 /\ arg6P3-arg6 <= 0 /\ 2+arg5-arg1 <= 0 /\ -arg4+arg3 == 0), cost: 1 4: __init -> f1_0_main_New : arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, TRUE, cost: 1 Applied chaining First rule: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=1, arg4'=1, arg1'=arg1P1, arg6'=arg6P1, arg3'=1, (arg1P1-arg1 <= 0 /\ arg1P1 > 0 /\ 1+arg6P1-arg1 <= 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg6P1 > 0), cost: 1 Second rule: f160_0_factorial_GT -> f160_0_factorial_GT : arg2'=arg2*arg3, arg4'=1+arg3, arg1'=arg1P3, arg6'=arg6P3, arg3'=1+arg3, (arg2 > 0 /\ arg5-arg3 >= 0 /\ -arg1+arg1P3 <= 0 /\ 1+arg6P3-arg1 <= 0 /\ 1+arg6P3 > 0 /\ arg3 > 0 /\ arg1P3 > 0 /\ arg6P3-arg6 <= 0 /\ 2+arg5-arg1 <= 0 /\ -arg4+arg3 == 0), cost: 1 New rule: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=1, arg4'=2, arg1'=arg1P3, arg6'=arg6P3, arg3'=2, (-arg1+arg1P3 <= 0 /\ 1+arg6P3-arg1 <= 0 /\ 1+arg6P3 > 0 /\ 2+arg5P1-arg1 <= 0 /\ arg1P3 > 0 /\ -1+arg5P1 >= 0), cost: 2 Applied deletion Removed the following rules: 7 Chained accelerated rules with incoming rules Start location: __init 0: f1_0_main_New -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 1 5: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=1, arg4'=1, arg1'=arg1P1, arg6'=arg6P1, arg3'=1, (arg1P1-arg1 <= 0 /\ arg1P1 > 0 /\ 1+arg6P1-arg1 <= 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg6P1 > 0), cost: 1 8: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=1, arg4'=2, arg1'=arg1P3, arg6'=arg6P3, arg3'=2, (-arg1+arg1P3 <= 0 /\ 1+arg6P3-arg1 <= 0 /\ 1+arg6P3 > 0 /\ 2+arg5P1-arg1 <= 0 /\ arg1P3 > 0 /\ -1+arg5P1 >= 0), cost: 2 6: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (arg2 > 0 /\ -arg5+arg3 > 0 /\ -1+arg1-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2+arg5-arg1 <= 0 /\ arg6-arg1P2 >= 0 /\ -arg4+arg3 == 0), cost: 1 4: __init -> f1_0_main_New : arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, TRUE, cost: 1 Eliminating location f1_0_main_New by chaining: Applied chaining First rule: __init -> f1_0_main_New : arg5'=arg5P4, arg2'=arg2P4, arg4'=arg4P4, arg1'=arg1P4, arg6'=arg6P4, arg3'=arg3P4, TRUE, cost: 1 Second rule: f1_0_main_New -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 1 New rule: __init -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 2 Applied deletion Removed the following rules: 0 4 Eliminated locations on linear paths Start location: __init 5: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=1, arg4'=1, arg1'=arg1P1, arg6'=arg6P1, arg3'=1, (arg1P1-arg1 <= 0 /\ arg1P1 > 0 /\ 1+arg6P1-arg1 <= 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg6P1 > 0), cost: 1 8: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=1, arg4'=2, arg1'=arg1P3, arg6'=arg6P3, arg3'=2, (-arg1+arg1P3 <= 0 /\ 1+arg6P3-arg1 <= 0 /\ 1+arg6P3 > 0 /\ 2+arg5P1-arg1 <= 0 /\ arg1P3 > 0 /\ -1+arg5P1 >= 0), cost: 2 6: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (arg2 > 0 /\ -arg5+arg3 > 0 /\ -1+arg1-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2+arg5-arg1 <= 0 /\ arg6-arg1P2 >= 0 /\ -arg4+arg3 == 0), cost: 1 9: __init -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 2 Eliminating location f160_0_factorial_GT by chaining: Applied chaining First rule: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=1, arg4'=1, arg1'=arg1P1, arg6'=arg6P1, arg3'=1, (arg1P1-arg1 <= 0 /\ arg1P1 > 0 /\ 1+arg6P1-arg1 <= 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg6P1 > 0), cost: 1 Second rule: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (arg2 > 0 /\ -arg5+arg3 > 0 /\ -1+arg1-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2+arg5-arg1 <= 0 /\ arg6-arg1P2 >= 0 /\ -arg4+arg3 == 0), cost: 1 New rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (0 == 0 /\ arg1P1-arg1 <= 0 /\ 1 > 0 /\ -1+arg1P1-arg1P2 >= 0 /\ arg1P1 > 0 /\ 1+arg6P1-arg1 <= 0 /\ arg6P1-arg1P2 >= 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg1P2 > 0 /\ 1+arg6P1 > 0 /\ 1-arg5P1 > 0 /\ 2+arg5P1-arg1P1 <= 0), cost: 2 Applied simplification Original rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (0 == 0 /\ arg1P1-arg1 <= 0 /\ 1 > 0 /\ -1+arg1P1-arg1P2 >= 0 /\ arg1P1 > 0 /\ 1+arg6P1-arg1 <= 0 /\ arg6P1-arg1P2 >= 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg1P2 > 0 /\ 1+arg6P1 > 0 /\ 1-arg5P1 > 0 /\ 2+arg5P1-arg1P1 <= 0), cost: 2 New rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (arg1P1-arg1 <= 0 /\ -1+arg1P1-arg1P2 >= 0 /\ 1+arg6P1-arg1 <= 0 /\ arg6P1-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 1-arg5P1 > 0 /\ 2+arg5P1-arg1P1 <= 0), cost: 2 Applied chaining First rule: f83_0_doSum_NONNULL -> f160_0_factorial_GT : arg5'=arg5P1, arg2'=1, arg4'=2, arg1'=arg1P3, arg6'=arg6P3, arg3'=2, (-arg1+arg1P3 <= 0 /\ 1+arg6P3-arg1 <= 0 /\ 1+arg6P3 > 0 /\ 2+arg5P1-arg1 <= 0 /\ arg1P3 > 0 /\ -1+arg5P1 >= 0), cost: 2 Second rule: f160_0_factorial_GT -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (arg2 > 0 /\ -arg5+arg3 > 0 /\ -1+arg1-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 2+arg5-arg1 <= 0 /\ arg6-arg1P2 >= 0 /\ -arg4+arg3 == 0), cost: 1 New rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (0 == 0 /\ 2+arg5P1-arg1P3 <= 0 /\ 1 > 0 /\ -arg1+arg1P3 <= 0 /\ arg6P3-arg1P2 >= 0 /\ 1+arg6P3-arg1 <= 0 /\ 2-arg5P1 > 0 /\ 1+arg6P3 > 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg1P2 > 0 /\ -1+arg1P3-arg1P2 >= 0 /\ arg1P3 > 0 /\ -1+arg5P1 >= 0), cost: 3 Applied simplification Original rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (0 == 0 /\ 2+arg5P1-arg1P3 <= 0 /\ 1 > 0 /\ -arg1+arg1P3 <= 0 /\ arg6P3-arg1P2 >= 0 /\ 1+arg6P3-arg1 <= 0 /\ 2-arg5P1 > 0 /\ 1+arg6P3 > 0 /\ 2+arg5P1-arg1 <= 0 /\ 1+arg1P2 > 0 /\ -1+arg1P3-arg1P2 >= 0 /\ arg1P3 > 0 /\ -1+arg5P1 >= 0), cost: 3 New rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (2+arg5P1-arg1P3 <= 0 /\ -arg1+arg1P3 <= 0 /\ arg6P3-arg1P2 >= 0 /\ 1+arg6P3-arg1 <= 0 /\ 2-arg5P1 > 0 /\ 1+arg1P2 > 0 /\ -1+arg1P3-arg1P2 >= 0 /\ -1+arg5P1 >= 0), cost: 3 Applied deletion Removed the following rules: 5 6 8 Eliminated locations on tree-shaped paths Start location: __init 10: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (arg1P1-arg1 <= 0 /\ -1+arg1P1-arg1P2 >= 0 /\ 1+arg6P1-arg1 <= 0 /\ arg6P1-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 1-arg5P1 > 0 /\ 2+arg5P1-arg1P1 <= 0), cost: 2 11: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (2+arg5P1-arg1P3 <= 0 /\ -arg1+arg1P3 <= 0 /\ arg6P3-arg1P2 >= 0 /\ 1+arg6P3-arg1 <= 0 /\ 2-arg5P1 > 0 /\ 1+arg1P2 > 0 /\ -1+arg1P3-arg1P2 >= 0 /\ -1+arg5P1 >= 0), cost: 3 9: __init -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 2 Applied simplification Original rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (arg1P1-arg1 <= 0 /\ -1+arg1P1-arg1P2 >= 0 /\ 1+arg6P1-arg1 <= 0 /\ arg6P1-arg1P2 >= 0 /\ 1+arg1P2 > 0 /\ 1-arg5P1 > 0 /\ 2+arg5P1-arg1P1 <= 0), cost: 2 New rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (1-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0), cost: 2 Applied simplification Original rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (2+arg5P1-arg1P3 <= 0 /\ -arg1+arg1P3 <= 0 /\ arg6P3-arg1P2 >= 0 /\ 1+arg6P3-arg1 <= 0 /\ 2-arg5P1 > 0 /\ 1+arg1P2 > 0 /\ -1+arg1P3-arg1P2 >= 0 /\ -1+arg5P1 >= 0), cost: 3 New rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (1-arg1+arg1P2 <= 0 /\ 3-arg1 <= 0 /\ 1+arg1P2 > 0), cost: 3 Simplified simple loops Start location: __init 12: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (1-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0), cost: 2 13: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (1-arg1+arg1P2 <= 0 /\ 3-arg1 <= 0 /\ 1+arg1P2 > 0), cost: 3 9: __init -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 2 Accelerated simple loops Start location: __init 12: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (1-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0), cost: 2 13: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (1-arg1+arg1P2 <= 0 /\ 3-arg1 <= 0 /\ 1+arg1P2 > 0), cost: 3 9: __init -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 2 Applied chaining First rule: __init -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 2 Second rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (1-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0), cost: 2 New rule: __init -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, 1+arg1P2 > 0, cost: 4 Applied chaining First rule: __init -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 2 Second rule: f83_0_doSum_NONNULL -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, (1-arg1+arg1P2 <= 0 /\ 3-arg1 <= 0 /\ 1+arg1P2 > 0), cost: 3 New rule: __init -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, 1+arg1P2 > 0, cost: 5 Applied deletion Removed the following rules: 12 13 Chained accelerated rules with incoming rules Start location: __init 9: __init -> f83_0_doSum_NONNULL : arg5'=arg5P0, arg2'=arg2P0, arg4'=arg4P0, arg1'=arg1P0, arg6'=arg6P0, arg3'=arg3P0, -3+arg1P0 > 0, cost: 2 14: __init -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, 1+arg1P2 > 0, cost: 4 15: __init -> f83_0_doSum_NONNULL : arg5'=arg5P2, arg2'=arg2P2, arg4'=arg4P2, arg1'=arg1P2, arg6'=arg6P2, arg3'=arg3P2, 1+arg1P2 > 0, cost: 5 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