NO Initial ITS Start location: __init 0: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P0, arg1'=arg1P0, arg3'=arg3P0, (-1+arg2P0 > 0 /\ 1+arg2 > 0 /\ -1+arg2-arg1P0 == 0 /\ arg1 > 0 /\ -1+arg2P0-arg1 <= 0 /\ arg2-arg3P0 == 0), cost: 1 1: f181_0_main_LE -> f181_0_main_LE : arg2'=arg2P1, arg1'=arg1P1, arg3'=arg3P1, (arg2 > 0 /\ -1+arg1-arg1P1 == 0 /\ arg1-arg3P1 == 0 /\ -2+arg2P1 > 0 /\ -2-arg2+arg2P1 <= 0 /\ arg3 > 0), cost: 1 2: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, (arg2 > 0 /\ -1+arg3 < 0 /\ arg1P2 > 0), cost: 1 3: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, (-1-arg2+arg1P3 <= 0 /\ -1+arg3 < 0 /\ -1+arg2 > 0 /\ -2+arg1P3 > 0), cost: 1 4: f168_0_visit_NULL -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg1 > 0 /\ 1+arg1P4 > 0), cost: 1 5: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, arg3'=arg3P5, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P0, arg1'=arg1P0, arg3'=arg3P0, (-1+arg2P0 > 0 /\ 1+arg2 > 0 /\ -1+arg2-arg1P0 == 0 /\ arg1 > 0 /\ -1+arg2P0-arg1 <= 0 /\ arg2-arg3P0 == 0), cost: 1 New rule: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P0, arg1'=-1+arg2, arg3'=arg2, (-1+arg2P0 > 0 /\ 1+arg2 > 0 /\ -1+arg2P0-arg1 <= 0), cost: 1 Applied preprocessing Original rule: f181_0_main_LE -> f181_0_main_LE : arg2'=arg2P1, arg1'=arg1P1, arg3'=arg3P1, (arg2 > 0 /\ -1+arg1-arg1P1 == 0 /\ arg1-arg3P1 == 0 /\ -2+arg2P1 > 0 /\ -2-arg2+arg2P1 <= 0 /\ arg3 > 0), cost: 1 New rule: f181_0_main_LE -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1+arg1, arg3'=arg1, (-2+arg2P1 > 0 /\ -2-arg2+arg2P1 <= 0 /\ arg3 > 0), cost: 1 Applied preprocessing Original rule: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, (arg2 > 0 /\ -1+arg3 < 0 /\ arg1P2 > 0), cost: 1 New rule: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, (arg2 > 0 /\ 1-arg3 > 0 /\ arg1P2 > 0), cost: 1 Applied preprocessing Original rule: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, (-1-arg2+arg1P3 <= 0 /\ -1+arg3 < 0 /\ -1+arg2 > 0 /\ -2+arg1P3 > 0), cost: 1 New rule: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, (-1-arg2+arg1P3 <= 0 /\ 1-arg3 > 0 /\ -2+arg1P3 > 0), cost: 1 Simplified rules Start location: __init 6: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P0, arg1'=-1+arg2, arg3'=arg2, (-1+arg2P0 > 0 /\ 1+arg2 > 0 /\ -1+arg2P0-arg1 <= 0), cost: 1 7: f181_0_main_LE -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1+arg1, arg3'=arg1, (-2+arg2P1 > 0 /\ -2-arg2+arg2P1 <= 0 /\ arg3 > 0), cost: 1 8: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, (arg2 > 0 /\ 1-arg3 > 0 /\ arg1P2 > 0), cost: 1 9: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, (-1-arg2+arg1P3 <= 0 /\ 1-arg3 > 0 /\ -2+arg1P3 > 0), cost: 1 4: f168_0_visit_NULL -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg1 > 0 /\ 1+arg1P4 > 0), cost: 1 5: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, arg3'=arg3P5, TRUE, cost: 1 Applied acceleration Original rule: f181_0_main_LE -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1+arg1, arg3'=arg1, (-2+arg2P1 > 0 /\ -2-arg2+arg2P1 <= 0 /\ arg3 > 0), cost: 1 New rule: f181_0_main_LE -> f181_0_main_LE : arg2'=arg2P1, arg1'=arg1-n, arg3'=1+arg1-n, (-1+n >= 0 /\ 2+arg1-n > 0 /\ -2+arg2P1 > 0 /\ 2+arg2-arg2P1 >= 0 /\ arg3 > 0), cost: n Sub-proof via acceration calculus written to file:///tmp/tmpnam_dlDmPF.txt Applied instantiation Original rule: f181_0_main_LE -> f181_0_main_LE : arg2'=arg2P1, arg1'=arg1-n, arg3'=1+arg1-n, (-1+n >= 0 /\ 2+arg1-n > 0 /\ -2+arg2P1 > 0 /\ 2+arg2-arg2P1 >= 0 /\ arg3 > 0), cost: n New rule: f181_0_main_LE -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (1 > 0 /\ arg1 >= 0 /\ -2+arg2P1 > 0 /\ 2+arg2-arg2P1 >= 0 /\ arg3 > 0), cost: 1+arg1 Applied simplification Original rule: f181_0_main_LE -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (1 > 0 /\ arg1 >= 0 /\ -2+arg2P1 > 0 /\ 2+arg2-arg2P1 >= 0 /\ arg3 > 0), cost: 1+arg1 New rule: f181_0_main_LE -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (arg1 >= 0 /\ -2+arg2P1 > 0 /\ 2+arg2-arg2P1 >= 0 /\ arg3 > 0), cost: 1+arg1 Applied deletion Removed the following rules: 7 Applied acceleration Original rule: f168_0_visit_NULL -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg1 > 0 /\ 1+arg1P4 > 0), cost: 1 New rule: f168_0_visit_NULL -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg1P4 > 0 /\ -1+n0 >= 0 /\ arg1 > 0 /\ 1+arg1P4 > 0), cost: n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_HhIbip.txt Applied nonterm Original rule: f168_0_visit_NULL -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg1 > 0 /\ 1+arg1P4 > 0), cost: 1 New rule: f168_0_visit_NULL -> [5] : (-arg1P4+arg1 <= 0 /\ arg1 > 0 /\ 1+arg1P4 > 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_KFaIeO.txt Applied simplification Original rule: f168_0_visit_NULL -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg1P4 > 0 /\ -1+n0 >= 0 /\ arg1 > 0 /\ 1+arg1P4 > 0), cost: n0 New rule: f168_0_visit_NULL -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg1P4 > 0 /\ -1+n0 >= 0 /\ arg1 > 0), cost: n0 Applied simplification Original rule: f168_0_visit_NULL -> [5] : (-arg1P4+arg1 <= 0 /\ arg1 > 0 /\ 1+arg1P4 > 0), cost: NONTERM New rule: f168_0_visit_NULL -> [5] : (-arg1P4+arg1 <= 0 /\ arg1 > 0), cost: NONTERM Applied deletion Removed the following rules: 4 Accelerated simple loops Start location: __init 6: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P0, arg1'=-1+arg2, arg3'=arg2, (-1+arg2P0 > 0 /\ 1+arg2 > 0 /\ -1+arg2P0-arg1 <= 0), cost: 1 8: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, (arg2 > 0 /\ 1-arg3 > 0 /\ arg1P2 > 0), cost: 1 9: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, (-1-arg2+arg1P3 <= 0 /\ 1-arg3 > 0 /\ -2+arg1P3 > 0), cost: 1 11: f181_0_main_LE -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (arg1 >= 0 /\ -2+arg2P1 > 0 /\ 2+arg2-arg2P1 >= 0 /\ arg3 > 0), cost: 1+arg1 14: f168_0_visit_NULL -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg1P4 > 0 /\ -1+n0 >= 0 /\ arg1 > 0), cost: n0 15: f168_0_visit_NULL -> [5] : (-arg1P4+arg1 <= 0 /\ arg1 > 0), cost: NONTERM 5: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, arg3'=arg3P5, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P0, arg1'=-1+arg2, arg3'=arg2, (-1+arg2P0 > 0 /\ 1+arg2 > 0 /\ -1+arg2P0-arg1 <= 0), cost: 1 Second rule: f181_0_main_LE -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (arg1 >= 0 /\ -2+arg2P1 > 0 /\ 2+arg2-arg2P1 >= 0 /\ arg3 > 0), cost: 1+arg1 New rule: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (-2+arg2P1 > 0 /\ -1+arg2 >= 0 /\ -3+arg2P1-arg1 <= 0 /\ 1-arg1 <= 0), cost: 1+arg2 Applied deletion Removed the following rules: 11 Applied chaining First rule: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, (arg2 > 0 /\ 1-arg3 > 0 /\ arg1P2 > 0), cost: 1 Second rule: f168_0_visit_NULL -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg1P4 > 0 /\ -1+n0 >= 0 /\ arg1 > 0), cost: n0 New rule: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg2 > 0 /\ arg1P4 > 0 /\ 1-arg3 > 0 /\ -1+n0 >= 0), cost: 1+n0 Applied chaining First rule: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, (-1-arg2+arg1P3 <= 0 /\ 1-arg3 > 0 /\ -2+arg1P3 > 0), cost: 1 Second rule: f168_0_visit_NULL -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg1P4 > 0 /\ -1+n0 >= 0 /\ arg1 > 0), cost: n0 New rule: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (-2+arg2 >= 0 /\ arg1P4 > 0 /\ 1-arg3 > 0 /\ -1+n0 >= 0), cost: 1+n0 Applied chaining First rule: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, (arg2 > 0 /\ 1-arg3 > 0 /\ arg1P2 > 0), cost: 1 Second rule: f168_0_visit_NULL -> [5] : (-arg1P4+arg1 <= 0 /\ arg1 > 0), cost: NONTERM New rule: f181_0_main_LE -> [5] : (arg2 > 0 /\ 1-arg3 > 0), cost: NONTERM Applied chaining First rule: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, (-1-arg2+arg1P3 <= 0 /\ 1-arg3 > 0 /\ -2+arg1P3 > 0), cost: 1 Second rule: f168_0_visit_NULL -> [5] : (-arg1P4+arg1 <= 0 /\ arg1 > 0), cost: NONTERM New rule: f181_0_main_LE -> [5] : (-2+arg2 >= 0 /\ 1-arg3 > 0), cost: NONTERM Applied deletion Removed the following rules: 14 15 Chained accelerated rules with incoming rules Start location: __init 6: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P0, arg1'=-1+arg2, arg3'=arg2, (-1+arg2P0 > 0 /\ 1+arg2 > 0 /\ -1+arg2P0-arg1 <= 0), cost: 1 16: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (-2+arg2P1 > 0 /\ -1+arg2 >= 0 /\ -3+arg2P1-arg1 <= 0 /\ 1-arg1 <= 0), cost: 1+arg2 8: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, (arg2 > 0 /\ 1-arg3 > 0 /\ arg1P2 > 0), cost: 1 9: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P3, arg1'=arg1P3, arg3'=arg3P3, (-1-arg2+arg1P3 <= 0 /\ 1-arg3 > 0 /\ -2+arg1P3 > 0), cost: 1 17: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (arg2 > 0 /\ arg1P4 > 0 /\ 1-arg3 > 0 /\ -1+n0 >= 0), cost: 1+n0 18: f181_0_main_LE -> f168_0_visit_NULL : arg2'=arg2P4, arg1'=arg1P4, arg3'=arg3P4, (-2+arg2 >= 0 /\ arg1P4 > 0 /\ 1-arg3 > 0 /\ -1+n0 >= 0), cost: 1+n0 19: f181_0_main_LE -> [5] : (arg2 > 0 /\ 1-arg3 > 0), cost: NONTERM 20: f181_0_main_LE -> [5] : (-2+arg2 >= 0 /\ 1-arg3 > 0), cost: NONTERM 5: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, arg3'=arg3P5, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 6: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P0, arg1'=-1+arg2, arg3'=arg2, (-1+arg2P0 > 0 /\ 1+arg2 > 0 /\ -1+arg2P0-arg1 <= 0), cost: 1 16: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (-2+arg2P1 > 0 /\ -1+arg2 >= 0 /\ -3+arg2P1-arg1 <= 0 /\ 1-arg1 <= 0), cost: 1+arg2 19: f181_0_main_LE -> [5] : (arg2 > 0 /\ 1-arg3 > 0), cost: NONTERM 20: f181_0_main_LE -> [5] : (-2+arg2 >= 0 /\ 1-arg3 > 0), cost: NONTERM 5: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, arg3'=arg3P5, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, arg3'=arg3P5, TRUE, cost: 1 Second rule: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P0, arg1'=-1+arg2, arg3'=arg2, (-1+arg2P0 > 0 /\ 1+arg2 > 0 /\ -1+arg2P0-arg1 <= 0), cost: 1 New rule: __init -> f181_0_main_LE : arg2'=arg2P0, arg1'=-1+arg2P5, arg3'=arg2P5, (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -1+arg2P0 > 0), cost: 2 Applied chaining First rule: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, arg3'=arg3P5, TRUE, cost: 1 Second rule: f1_0_main_Load -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (-2+arg2P1 > 0 /\ -1+arg2 >= 0 /\ -3+arg2P1-arg1 <= 0 /\ 1-arg1 <= 0), cost: 1+arg2 New rule: __init -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (-3-arg1P5+arg2P1 <= 0 /\ -2+arg2P1 > 0 /\ 1-arg1P5 <= 0 /\ -1+arg2P5 >= 0), cost: 2+arg2P5 Applied deletion Removed the following rules: 5 6 16 Eliminated locations on tree-shaped paths Start location: __init 19: f181_0_main_LE -> [5] : (arg2 > 0 /\ 1-arg3 > 0), cost: NONTERM 20: f181_0_main_LE -> [5] : (-2+arg2 >= 0 /\ 1-arg3 > 0), cost: NONTERM 21: __init -> f181_0_main_LE : arg2'=arg2P0, arg1'=-1+arg2P5, arg3'=arg2P5, (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -1+arg2P0 > 0), cost: 2 22: __init -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (-3-arg1P5+arg2P1 <= 0 /\ -2+arg2P1 > 0 /\ 1-arg1P5 <= 0 /\ -1+arg2P5 >= 0), cost: 2+arg2P5 Eliminating location f181_0_main_LE by chaining: Applied chaining First rule: __init -> f181_0_main_LE : arg2'=arg2P0, arg1'=-1+arg2P5, arg3'=arg2P5, (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -1+arg2P0 > 0), cost: 2 Second rule: f181_0_main_LE -> [5] : (arg2 > 0 /\ 1-arg3 > 0), cost: NONTERM New rule: __init -> [5] : (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -1+arg2P0 > 0 /\ arg2P0 > 0 /\ 1-arg2P5 > 0), cost: NONTERM Applied simplification Original rule: __init -> [5] : (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -1+arg2P0 > 0 /\ arg2P0 > 0 /\ 1-arg2P5 > 0), cost: NONTERM New rule: __init -> [5] : (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -1+arg2P0 > 0 /\ 1-arg2P5 > 0), cost: NONTERM Applied chaining First rule: __init -> f181_0_main_LE : arg2'=arg2P0, arg1'=-1+arg2P5, arg3'=arg2P5, (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -1+arg2P0 > 0), cost: 2 Second rule: f181_0_main_LE -> [5] : (-2+arg2 >= 0 /\ 1-arg3 > 0), cost: NONTERM New rule: __init -> [5] : (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -1+arg2P0 > 0 /\ -2+arg2P0 >= 0 /\ 1-arg2P5 > 0), cost: NONTERM Applied simplification Original rule: __init -> [5] : (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -1+arg2P0 > 0 /\ -2+arg2P0 >= 0 /\ 1-arg2P5 > 0), cost: NONTERM New rule: __init -> [5] : (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -2+arg2P0 >= 0 /\ 1-arg2P5 > 0), cost: NONTERM Applied chaining First rule: __init -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (-3-arg1P5+arg2P1 <= 0 /\ -2+arg2P1 > 0 /\ 1-arg1P5 <= 0 /\ -1+arg2P5 >= 0), cost: 2+arg2P5 Second rule: f181_0_main_LE -> [5] : (arg2 > 0 /\ 1-arg3 > 0), cost: NONTERM New rule: __init -> [5] : (1 > 0 /\ arg2P1 > 0 /\ -3-arg1P5+arg2P1 <= 0 /\ -2+arg2P1 > 0 /\ 1-arg1P5 <= 0 /\ -1+arg2P5 >= 0), cost: NONTERM Applied simplification Original rule: __init -> [5] : (1 > 0 /\ arg2P1 > 0 /\ -3-arg1P5+arg2P1 <= 0 /\ -2+arg2P1 > 0 /\ 1-arg1P5 <= 0 /\ -1+arg2P5 >= 0), cost: NONTERM New rule: __init -> [5] : (-3-arg1P5+arg2P1 <= 0 /\ -2+arg2P1 > 0 /\ 1-arg1P5 <= 0 /\ -1+arg2P5 >= 0), cost: NONTERM Applied chaining First rule: __init -> f181_0_main_LE : arg2'=arg2P1, arg1'=-1, arg3'=0, (-3-arg1P5+arg2P1 <= 0 /\ -2+arg2P1 > 0 /\ 1-arg1P5 <= 0 /\ -1+arg2P5 >= 0), cost: 2+arg2P5 Second rule: f181_0_main_LE -> [5] : (-2+arg2 >= 0 /\ 1-arg3 > 0), cost: NONTERM New rule: __init -> [5] : (1 > 0 /\ -3-arg1P5+arg2P1 <= 0 /\ -2+arg2P1 > 0 /\ -2+arg2P1 >= 0 /\ 1-arg1P5 <= 0 /\ -1+arg2P5 >= 0), cost: NONTERM Applied simplification Original rule: __init -> [5] : (1 > 0 /\ -3-arg1P5+arg2P1 <= 0 /\ -2+arg2P1 > 0 /\ -2+arg2P1 >= 0 /\ 1-arg1P5 <= 0 /\ -1+arg2P5 >= 0), cost: NONTERM New rule: __init -> [5] : (-3-arg1P5+arg2P1 <= 0 /\ -2+arg2P1 > 0 /\ 1-arg1P5 <= 0 /\ -1+arg2P5 >= 0), cost: NONTERM Applied deletion Removed the following rules: 19 20 21 22 Eliminated locations on tree-shaped paths Start location: __init 23: __init -> [5] : (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -1+arg2P0 > 0 /\ 1-arg2P5 > 0), cost: NONTERM 24: __init -> [5] : (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -2+arg2P0 >= 0 /\ 1-arg2P5 > 0), cost: NONTERM 25: __init -> [5] : (-3-arg1P5+arg2P1 <= 0 /\ -2+arg2P1 > 0 /\ 1-arg1P5 <= 0 /\ -1+arg2P5 >= 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 23 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (-1-arg1P5+arg2P0 <= 0 /\ 1+arg2P5 > 0 /\ -1+arg2P0 > 0 /\ 1-arg2P5 > 0)