NO Initial ITS Start location: __init 0: f1_0_main_Load -> f116_0_flip_EQ : arg2'=arg2P0, arg1'=arg1P0, (1+arg2P0 > 0 /\ arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0), cost: 1 1: f116_0_flip_EQ -> f116_0_flip_EQ : arg2'=arg2P1, arg1'=arg1P1, (arg2 > 0 /\ arg1 > 0 /\ arg2-arg1P1 == 0 /\ arg1-arg2P1 == 0), cost: 1 2: __init -> f1_0_main_Load : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Applied preprocessing Original rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg2'=arg2P1, arg1'=arg1P1, (arg2 > 0 /\ arg1 > 0 /\ arg2-arg1P1 == 0 /\ arg1-arg2P1 == 0), cost: 1 New rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg2'=arg1, arg1'=arg2, (arg2 > 0 /\ arg1 > 0), cost: 1 Simplified rules Start location: __init 0: f1_0_main_Load -> f116_0_flip_EQ : arg2'=arg2P0, arg1'=arg1P0, (1+arg2P0 > 0 /\ arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0), cost: 1 3: f116_0_flip_EQ -> f116_0_flip_EQ : arg2'=arg1, arg1'=arg2, (arg2 > 0 /\ arg1 > 0), cost: 1 2: __init -> f1_0_main_Load : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Applied unrolling Original rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg2'=arg1, arg1'=arg2, (arg2 > 0 /\ arg1 > 0), cost: 1 New rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg2'=arg2, arg1'=arg1, (arg2 > 0 /\ arg1 > 0), cost: 2 Applied nonterm Original rule: f116_0_flip_EQ -> f116_0_flip_EQ : arg2'=arg2, arg1'=arg1, (arg2 > 0 /\ arg1 > 0), cost: 2 New rule: f116_0_flip_EQ -> [3] : (arg2 > 0 /\ arg1 > 0 /\ n >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_ggEfbC.txt Applied deletion Removed the following rules: 3 Accelerated simple loops Start location: __init 0: f1_0_main_Load -> f116_0_flip_EQ : arg2'=arg2P0, arg1'=arg1P0, (1+arg2P0 > 0 /\ arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0), cost: 1 4: f116_0_flip_EQ -> [3] : (arg2 > 0 /\ arg1 > 0 /\ n >= 0), cost: NONTERM 2: __init -> f1_0_main_Load : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f116_0_flip_EQ : arg2'=arg2P0, arg1'=arg1P0, (1+arg2P0 > 0 /\ arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0), cost: 1 Second rule: f116_0_flip_EQ -> [3] : (arg2 > 0 /\ arg1 > 0 /\ n >= 0), cost: NONTERM New rule: f1_0_main_Load -> [3] : (arg1 > 0 /\ -1+arg2 > 0), cost: NONTERM Applied deletion Removed the following rules: 4 Chained accelerated rules with incoming rules Start location: __init 0: f1_0_main_Load -> f116_0_flip_EQ : arg2'=arg2P0, arg1'=arg1P0, (1+arg2P0 > 0 /\ arg1 > 0 /\ 1+arg1P0 > 0 /\ -1+arg2 > 0), cost: 1 5: f1_0_main_Load -> [3] : (arg1 > 0 /\ -1+arg2 > 0), cost: NONTERM 2: __init -> f1_0_main_Load : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 5: f1_0_main_Load -> [3] : (arg1 > 0 /\ -1+arg2 > 0), cost: NONTERM 2: __init -> f1_0_main_Load : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg2'=arg2P2, arg1'=arg1P2, TRUE, cost: 1 Second rule: f1_0_main_Load -> [3] : (arg1 > 0 /\ -1+arg2 > 0), cost: NONTERM New rule: __init -> [3] : (-1+arg2P2 > 0 /\ arg1P2 > 0), cost: NONTERM Applied deletion Removed the following rules: 2 5 Eliminated locations on linear paths Start location: __init 6: __init -> [3] : (-1+arg2P2 > 0 /\ arg1P2 > 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 6 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (-1+arg2P2 > 0 /\ arg1P2 > 0)