NO Initial ITS Start location: __init 0: f53_0_main_Load -> f53_0_main_Load : arg2'=arg2P0, arg1'=arg1P0, (arg2 > 0 /\ -100+arg2+arg1 < 0 /\ arg1 > 0 /\ arg2-arg1P0 == 0 /\ -arg2P0+arg1 == 0), cost: 1 1: f1_0_main_ConstantStackPush -> f53_0_main_Load : arg2'=arg2P1, arg1'=arg1P1, (17-arg1P1 == 0 /\ 13-arg2P1 == 0), cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Applied preprocessing Original rule: f53_0_main_Load -> f53_0_main_Load : arg2'=arg2P0, arg1'=arg1P0, (arg2 > 0 /\ -100+arg2+arg1 < 0 /\ arg1 > 0 /\ arg2-arg1P0 == 0 /\ -arg2P0+arg1 == 0), cost: 1 New rule: f53_0_main_Load -> f53_0_main_Load : arg2'=arg1, arg1'=arg2, (arg2 > 0 /\ arg1 > 0 /\ 100-arg2-arg1 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f53_0_main_Load : arg2'=arg2P1, arg1'=arg1P1, (17-arg1P1 == 0 /\ 13-arg2P1 == 0), cost: 1 New rule: f1_0_main_ConstantStackPush -> f53_0_main_Load : arg2'=13, arg1'=17, TRUE, cost: 1 Simplified rules Start location: __init 3: f53_0_main_Load -> f53_0_main_Load : arg2'=arg1, arg1'=arg2, (arg2 > 0 /\ arg1 > 0 /\ 100-arg2-arg1 > 0), cost: 1 4: f1_0_main_ConstantStackPush -> f53_0_main_Load : arg2'=13, arg1'=17, TRUE, cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Applied unrolling Original rule: f53_0_main_Load -> f53_0_main_Load : arg2'=arg1, arg1'=arg2, (arg2 > 0 /\ arg1 > 0 /\ 100-arg2-arg1 > 0), cost: 1 New rule: f53_0_main_Load -> f53_0_main_Load : arg2'=arg2, arg1'=arg1, (arg2 > 0 /\ arg1 > 0 /\ 100-arg2-arg1 > 0), cost: 2 Applied nonterm Original rule: f53_0_main_Load -> f53_0_main_Load : arg2'=arg2, arg1'=arg1, (arg2 > 0 /\ arg1 > 0 /\ 100-arg2-arg1 > 0), cost: 2 New rule: f53_0_main_Load -> [3] : (arg2 > 0 /\ arg1 > 0 /\ 100-arg2-arg1 > 0 /\ n >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_cgmiaI.txt Applied deletion Removed the following rules: 3 Accelerated simple loops Start location: __init 5: f53_0_main_Load -> [3] : (arg2 > 0 /\ arg1 > 0 /\ 100-arg2-arg1 > 0 /\ n >= 0), cost: NONTERM 4: f1_0_main_ConstantStackPush -> f53_0_main_Load : arg2'=13, arg1'=17, TRUE, cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_ConstantStackPush -> f53_0_main_Load : arg2'=13, arg1'=17, TRUE, cost: 1 Second rule: f53_0_main_Load -> [3] : (arg2 > 0 /\ arg1 > 0 /\ 100-arg2-arg1 > 0 /\ n >= 0), cost: NONTERM New rule: f1_0_main_ConstantStackPush -> [3] : (13 > 0 /\ 17 > 0 /\ 70 > 0), cost: NONTERM Applied deletion Removed the following rules: 5 Chained accelerated rules with incoming rules Start location: __init 4: f1_0_main_ConstantStackPush -> f53_0_main_Load : arg2'=13, arg1'=17, TRUE, cost: 1 6: f1_0_main_ConstantStackPush -> [3] : (13 > 0 /\ 17 > 0 /\ 70 > 0), cost: NONTERM 2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 6: f1_0_main_ConstantStackPush -> [3] : (13 > 0 /\ 17 > 0 /\ 70 > 0), cost: NONTERM 2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Eliminating location f1_0_main_ConstantStackPush by chaining: Applied chaining First rule: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Second rule: f1_0_main_ConstantStackPush -> [3] : (13 > 0 /\ 17 > 0 /\ 70 > 0), cost: NONTERM New rule: __init -> [3] : (13 > 0 /\ 17 > 0 /\ 70 > 0), cost: NONTERM Applied deletion Removed the following rules: 2 6 Eliminated locations on linear paths Start location: __init 7: __init -> [3] : (13 > 0 /\ 17 > 0 /\ 70 > 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 7 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (13 > 0 /\ 17 > 0 /\ 70 > 0)