NO Initial ITS Start location: __init 0: f1_0_main_Load -> f32_0_increase_GE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ -arg1P0+arg2 == 0 /\ 1+arg2 > 0), cost: 1 1: f32_0_increase_GE -> f91_0_increase_aux_LE : arg1'=arg1P1, arg2'=arg2P1, (-10+arg1 < 0 /\ arg1-arg1P1 == 0), cost: 1 2: f32_0_increase_GE -> f32_0_increase_GE : arg1'=arg1P2, arg2'=arg2P2, (1-arg1P2 == 0 /\ -arg1 == 0), cost: 1 3: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=arg1P3, arg2'=arg2P3, (arg1 > 0 /\ 1 > 0 /\ 1+arg1-arg1P3 == 0), cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f32_0_increase_GE : arg1'=arg1P0, arg2'=arg2P0, (arg1 > 0 /\ -arg1P0+arg2 == 0 /\ 1+arg2 > 0), cost: 1 New rule: f1_0_main_Load -> f32_0_increase_GE : arg1'=arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f32_0_increase_GE -> f91_0_increase_aux_LE : arg1'=arg1P1, arg2'=arg2P1, (-10+arg1 < 0 /\ arg1-arg1P1 == 0), cost: 1 New rule: f32_0_increase_GE -> f91_0_increase_aux_LE : arg2'=arg2P1, 10-arg1 > 0, cost: 1 Applied preprocessing Original rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=arg1P2, arg2'=arg2P2, (1-arg1P2 == 0 /\ -arg1 == 0), cost: 1 New rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=1, arg2'=arg2P2, arg1 == 0, cost: 1 Applied preprocessing Original rule: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=arg1P3, arg2'=arg2P3, (arg1 > 0 /\ 1 > 0 /\ 1+arg1-arg1P3 == 0), cost: 1 New rule: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2P3, arg1 > 0, cost: 1 Simplified rules Start location: __init 5: f1_0_main_Load -> f32_0_increase_GE : arg1'=arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 6: f32_0_increase_GE -> f91_0_increase_aux_LE : arg2'=arg2P1, 10-arg1 > 0, cost: 1 7: f32_0_increase_GE -> f32_0_increase_GE : arg1'=1, arg2'=arg2P2, arg1 == 0, cost: 1 8: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2P3, arg1 > 0, cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Applied nonterm Original rule: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2P3, arg1 > 0, cost: 1 New rule: f91_0_increase_aux_LE -> [5] : arg1 > 0, cost: NONTERM Applied acceleration Original rule: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2P3, arg1 > 0, cost: 1 New rule: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=arg1+n2, arg2'=arg2P3, arg1 > 0, cost: n2 Applied deletion Removed the following rules: 8 Accelerated simple loops Start location: __init 5: f1_0_main_Load -> f32_0_increase_GE : arg1'=arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 6: f32_0_increase_GE -> f91_0_increase_aux_LE : arg2'=arg2P1, 10-arg1 > 0, cost: 1 7: f32_0_increase_GE -> f32_0_increase_GE : arg1'=1, arg2'=arg2P2, arg1 == 0, cost: 1 9: f91_0_increase_aux_LE -> [5] : arg1 > 0, cost: NONTERM 10: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=arg1+n2, arg2'=arg2P3, arg1 > 0, cost: n2 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f32_0_increase_GE : arg1'=arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=1, arg2'=arg2P2, arg1 == 0, cost: 1 New rule: f1_0_main_Load -> f32_0_increase_GE : arg1'=1, arg2'=arg2P2, (arg1 > 0 /\ arg2 == 0), cost: 2 Applied deletion Removed the following rules: 7 Applied chaining First rule: f32_0_increase_GE -> f91_0_increase_aux_LE : arg2'=arg2P1, 10-arg1 > 0, cost: 1 Second rule: f91_0_increase_aux_LE -> [5] : arg1 > 0, cost: NONTERM New rule: f32_0_increase_GE -> [5] : (arg1 > 0 /\ 10-arg1 > 0), cost: NONTERM Applied chaining First rule: f32_0_increase_GE -> f91_0_increase_aux_LE : arg2'=arg2P1, 10-arg1 > 0, cost: 1 Second rule: f91_0_increase_aux_LE -> f91_0_increase_aux_LE : arg1'=arg1+n2, arg2'=arg2P3, arg1 > 0, cost: n2 New rule: f32_0_increase_GE -> f91_0_increase_aux_LE : arg1'=arg1+n2, arg2'=arg2P3, (arg1 > 0 /\ 10-arg1 > 0), cost: 1+n2 Applied deletion Removed the following rules: 9 10 Chained accelerated rules with incoming rules Start location: __init 5: f1_0_main_Load -> f32_0_increase_GE : arg1'=arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 11: f1_0_main_Load -> f32_0_increase_GE : arg1'=1, arg2'=arg2P2, (arg1 > 0 /\ arg2 == 0), cost: 2 6: f32_0_increase_GE -> f91_0_increase_aux_LE : arg2'=arg2P1, 10-arg1 > 0, cost: 1 12: f32_0_increase_GE -> [5] : (arg1 > 0 /\ 10-arg1 > 0), cost: NONTERM 13: f32_0_increase_GE -> f91_0_increase_aux_LE : arg1'=arg1+n2, arg2'=arg2P3, (arg1 > 0 /\ 10-arg1 > 0), cost: 1+n2 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 5: f1_0_main_Load -> f32_0_increase_GE : arg1'=arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 11: f1_0_main_Load -> f32_0_increase_GE : arg1'=1, arg2'=arg2P2, (arg1 > 0 /\ arg2 == 0), cost: 2 12: f32_0_increase_GE -> [5] : (arg1 > 0 /\ 10-arg1 > 0), cost: NONTERM 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Second rule: f1_0_main_Load -> f32_0_increase_GE : arg1'=arg2, arg2'=arg2P0, (arg1 > 0 /\ 1+arg2 > 0), cost: 1 New rule: __init -> f32_0_increase_GE : arg1'=arg2P4, arg2'=arg2P0, (1+arg2P4 > 0 /\ arg1P4 > 0), cost: 2 Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Second rule: f1_0_main_Load -> f32_0_increase_GE : arg1'=1, arg2'=arg2P2, (arg1 > 0 /\ arg2 == 0), cost: 2 New rule: __init -> f32_0_increase_GE : arg1'=1, arg2'=arg2P2, (arg2P4 == 0 /\ arg1P4 > 0), cost: 3 Applied deletion Removed the following rules: 4 5 11 Eliminated locations on tree-shaped paths Start location: __init 12: f32_0_increase_GE -> [5] : (arg1 > 0 /\ 10-arg1 > 0), cost: NONTERM 14: __init -> f32_0_increase_GE : arg1'=arg2P4, arg2'=arg2P0, (1+arg2P4 > 0 /\ arg1P4 > 0), cost: 2 15: __init -> f32_0_increase_GE : arg1'=1, arg2'=arg2P2, (arg2P4 == 0 /\ arg1P4 > 0), cost: 3 Eliminating location f32_0_increase_GE by chaining: Applied chaining First rule: __init -> f32_0_increase_GE : arg1'=arg2P4, arg2'=arg2P0, (1+arg2P4 > 0 /\ arg1P4 > 0), cost: 2 Second rule: f32_0_increase_GE -> [5] : (arg1 > 0 /\ 10-arg1 > 0), cost: NONTERM New rule: __init -> [5] : (1+arg2P4 > 0 /\ 10-arg2P4 > 0 /\ arg2P4 > 0 /\ arg1P4 > 0), cost: NONTERM Applied simplification Original rule: __init -> [5] : (1+arg2P4 > 0 /\ 10-arg2P4 > 0 /\ arg2P4 > 0 /\ arg1P4 > 0), cost: NONTERM New rule: __init -> [5] : (10-arg2P4 > 0 /\ arg2P4 > 0 /\ arg1P4 > 0), cost: NONTERM Applied chaining First rule: __init -> f32_0_increase_GE : arg1'=1, arg2'=arg2P2, (arg2P4 == 0 /\ arg1P4 > 0), cost: 3 Second rule: f32_0_increase_GE -> [5] : (arg1 > 0 /\ 10-arg1 > 0), cost: NONTERM New rule: __init -> [5] : (1 > 0 /\ arg2P4 == 0 /\ 9 > 0 /\ arg1P4 > 0), cost: NONTERM Applied simplification Original rule: __init -> [5] : (1 > 0 /\ arg2P4 == 0 /\ 9 > 0 /\ arg1P4 > 0), cost: NONTERM New rule: __init -> [5] : (arg2P4 == 0 /\ arg1P4 > 0), cost: NONTERM Applied deletion Removed the following rules: 12 14 15 Eliminated locations on tree-shaped paths Start location: __init 16: __init -> [5] : (10-arg2P4 > 0 /\ arg2P4 > 0 /\ arg1P4 > 0), cost: NONTERM 17: __init -> [5] : (arg2P4 == 0 /\ arg1P4 > 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 16 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (10-arg2P4 > 0 /\ arg2P4 > 0 /\ arg1P4 > 0)