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 -> f32_0_increase_GE : arg1'=arg1P1, arg2'=arg2P1, (1 > 0 /\ -10+arg1 < 0 /\ 1+arg1 > 0 /\ 1+arg1-arg1P1 == 0), cost: 1 2: f32_0_increase_GE -> f95_0_increase_aux_LE : arg1'=arg1P2, arg2'=arg2P2, (-10+arg1 < 0 /\ arg1-arg1P2 == 0), cost: 1 3: f95_0_increase_aux_LE -> f95_0_increase_aux_LE : arg1'=arg1P3, arg2'=arg2P3, (1 > 0 /\ 1+arg1-arg1P3 == 0 /\ -5+arg1 > 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 -> f32_0_increase_GE : arg1'=arg1P1, arg2'=arg2P1, (1 > 0 /\ -10+arg1 < 0 /\ 1+arg1 > 0 /\ 1+arg1-arg1P1 == 0), cost: 1 New rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=1+arg1, arg2'=arg2P1, (1+arg1 > 0 /\ 10-arg1 > 0), cost: 1 Applied preprocessing Original rule: f32_0_increase_GE -> f95_0_increase_aux_LE : arg1'=arg1P2, arg2'=arg2P2, (-10+arg1 < 0 /\ arg1-arg1P2 == 0), cost: 1 New rule: f32_0_increase_GE -> f95_0_increase_aux_LE : arg2'=arg2P2, 10-arg1 > 0, cost: 1 Applied preprocessing Original rule: f95_0_increase_aux_LE -> f95_0_increase_aux_LE : arg1'=arg1P3, arg2'=arg2P3, (1 > 0 /\ 1+arg1-arg1P3 == 0 /\ -5+arg1 > 0), cost: 1 New rule: f95_0_increase_aux_LE -> f95_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2P3, -5+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 -> f32_0_increase_GE : arg1'=1+arg1, arg2'=arg2P1, (1+arg1 > 0 /\ 10-arg1 > 0), cost: 1 7: f32_0_increase_GE -> f95_0_increase_aux_LE : arg2'=arg2P2, 10-arg1 > 0, cost: 1 8: f95_0_increase_aux_LE -> f95_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2P3, -5+arg1 > 0, cost: 1 4: __init -> f1_0_main_Load : arg1'=arg1P4, arg2'=arg2P4, TRUE, cost: 1 Applied acceleration Original rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=1+arg1, arg2'=arg2P1, (1+arg1 > 0 /\ 10-arg1 > 0), cost: 1 New rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=arg1+n0, arg2'=arg2P1, (1+arg1 > 0 /\ -1+n0 >= 0 /\ 11-arg1-n0 > 0), cost: n0 Applied instantiation Original rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=arg1+n0, arg2'=arg2P1, (1+arg1 > 0 /\ -1+n0 >= 0 /\ 11-arg1-n0 > 0), cost: n0 New rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=10, arg2'=arg2P1, (1 > 0 /\ 9-arg1 >= 0 /\ 1+arg1 > 0), cost: 10-arg1 Applied simplification Original rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=10, arg2'=arg2P1, (1 > 0 /\ 9-arg1 >= 0 /\ 1+arg1 > 0), cost: 10-arg1 New rule: f32_0_increase_GE -> f32_0_increase_GE : arg1'=10, arg2'=arg2P1, (1+arg1 > 0 /\ -9+arg1 <= 0), cost: 10-arg1 Applied deletion Removed the following rules: 6 Applied nonterm Original rule: f95_0_increase_aux_LE -> f95_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2P3, -5+arg1 > 0, cost: 1 New rule: f95_0_increase_aux_LE -> [5] : -5+arg1 > 0, cost: NONTERM Applied acceleration Original rule: f95_0_increase_aux_LE -> f95_0_increase_aux_LE : arg1'=1+arg1, arg2'=arg2P3, -5+arg1 > 0, cost: 1 New rule: f95_0_increase_aux_LE -> f95_0_increase_aux_LE : arg1'=arg1+n3, arg2'=arg2P3, -5+arg1 > 0, cost: n3 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 7: f32_0_increase_GE -> f95_0_increase_aux_LE : arg2'=arg2P2, 10-arg1 > 0, cost: 1 10: f32_0_increase_GE -> f32_0_increase_GE : arg1'=10, arg2'=arg2P1, (1+arg1 > 0 /\ -9+arg1 <= 0), cost: 10-arg1 11: f95_0_increase_aux_LE -> [5] : -5+arg1 > 0, cost: NONTERM 12: f95_0_increase_aux_LE -> f95_0_increase_aux_LE : arg1'=arg1+n3, arg2'=arg2P3, -5+arg1 > 0, cost: n3 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'=10, arg2'=arg2P1, (1+arg1 > 0 /\ -9+arg1 <= 0), cost: 10-arg1 New rule: f1_0_main_Load -> f32_0_increase_GE : arg1'=10, arg2'=arg2P1, (arg1 > 0 /\ -9+arg2 <= 0 /\ 1+arg2 > 0), cost: 11-arg2 Applied deletion Removed the following rules: 10 Applied chaining First rule: f32_0_increase_GE -> f95_0_increase_aux_LE : arg2'=arg2P2, 10-arg1 > 0, cost: 1 Second rule: f95_0_increase_aux_LE -> [5] : -5+arg1 > 0, cost: NONTERM New rule: f32_0_increase_GE -> [5] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM Applied chaining First rule: f32_0_increase_GE -> f95_0_increase_aux_LE : arg2'=arg2P2, 10-arg1 > 0, cost: 1 Second rule: f95_0_increase_aux_LE -> f95_0_increase_aux_LE : arg1'=arg1+n3, arg2'=arg2P3, -5+arg1 > 0, cost: n3 New rule: f32_0_increase_GE -> f95_0_increase_aux_LE : arg1'=arg1+n3, arg2'=arg2P3, (10-arg1 > 0 /\ -5+arg1 > 0), cost: 1+n3 Applied deletion Removed the following rules: 11 12 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 13: f1_0_main_Load -> f32_0_increase_GE : arg1'=10, arg2'=arg2P1, (arg1 > 0 /\ -9+arg2 <= 0 /\ 1+arg2 > 0), cost: 11-arg2 7: f32_0_increase_GE -> f95_0_increase_aux_LE : arg2'=arg2P2, 10-arg1 > 0, cost: 1 14: f32_0_increase_GE -> [5] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM 15: f32_0_increase_GE -> f95_0_increase_aux_LE : arg1'=arg1+n3, arg2'=arg2P3, (10-arg1 > 0 /\ -5+arg1 > 0), cost: 1+n3 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 13: f1_0_main_Load -> f32_0_increase_GE : arg1'=10, arg2'=arg2P1, (arg1 > 0 /\ -9+arg2 <= 0 /\ 1+arg2 > 0), cost: 11-arg2 14: f32_0_increase_GE -> [5] : (10-arg1 > 0 /\ -5+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'=10, arg2'=arg2P1, (arg1 > 0 /\ -9+arg2 <= 0 /\ 1+arg2 > 0), cost: 11-arg2 New rule: __init -> f32_0_increase_GE : arg1'=10, arg2'=arg2P1, (1+arg2P4 > 0 /\ -9+arg2P4 <= 0 /\ arg1P4 > 0), cost: 12-arg2P4 Applied deletion Removed the following rules: 4 5 13 Eliminated locations on tree-shaped paths Start location: __init 14: f32_0_increase_GE -> [5] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM 16: __init -> f32_0_increase_GE : arg1'=arg2P4, arg2'=arg2P0, (1+arg2P4 > 0 /\ arg1P4 > 0), cost: 2 17: __init -> f32_0_increase_GE : arg1'=10, arg2'=arg2P1, (1+arg2P4 > 0 /\ -9+arg2P4 <= 0 /\ arg1P4 > 0), cost: 12-arg2P4 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] : (10-arg1 > 0 /\ -5+arg1 > 0), cost: NONTERM New rule: __init -> [5] : (1+arg2P4 > 0 /\ 10-arg2P4 > 0 /\ -5+arg2P4 > 0 /\ arg1P4 > 0), cost: NONTERM Applied simplification Original rule: __init -> [5] : (1+arg2P4 > 0 /\ 10-arg2P4 > 0 /\ -5+arg2P4 > 0 /\ arg1P4 > 0), cost: NONTERM New rule: __init -> [5] : (10-arg2P4 > 0 /\ -5+arg2P4 > 0 /\ arg1P4 > 0), cost: NONTERM Applied partial deletion Original rule: __init -> f32_0_increase_GE : arg1'=10, arg2'=arg2P1, (1+arg2P4 > 0 /\ -9+arg2P4 <= 0 /\ arg1P4 > 0), cost: 12-arg2P4 New rule: __init -> [6] : (1+arg2P4 > 0 /\ -9+arg2P4 <= 0 /\ arg1P4 > 0), cost: 12-arg2P4 Applied deletion Removed the following rules: 14 16 17 Eliminated locations on tree-shaped paths Start location: __init 18: __init -> [5] : (10-arg2P4 > 0 /\ -5+arg2P4 > 0 /\ arg1P4 > 0), cost: NONTERM 19: __init -> [6] : (1+arg2P4 > 0 /\ -9+arg2P4 <= 0 /\ arg1P4 > 0), cost: 12-arg2P4 Computing asymptotic complexity Proved nontermination of rule 18 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (10-arg2P4 > 0 /\ -5+arg2P4 > 0 /\ arg1P4 > 0)