NO Initial ITS Start location: __init 0: f1_0_main_ConstantStackPush -> f93_0_main_GE : arg2'=arg2P0, arg1'=arg1P0, arg3'=arg3P0, (2-arg2P0 == 0 /\ 3-arg3P0 == 0 /\ 1-arg1P0 == 0), cost: 1 1: f93_0_main_GE -> f93_0_main_GE : arg2'=arg2P1, arg1'=arg1P1, arg3'=arg3P1, (arg2-arg1P1 == 0 /\ arg2+arg1-arg3P1 == 0 /\ -5+arg3 < 0 /\ -arg2P1+arg1 == 0), cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f93_0_main_GE : arg2'=arg2P0, arg1'=arg1P0, arg3'=arg3P0, (2-arg2P0 == 0 /\ 3-arg3P0 == 0 /\ 1-arg1P0 == 0), cost: 1 New rule: f1_0_main_ConstantStackPush -> f93_0_main_GE : arg2'=2, arg1'=1, arg3'=3, TRUE, cost: 1 Applied preprocessing Original rule: f93_0_main_GE -> f93_0_main_GE : arg2'=arg2P1, arg1'=arg1P1, arg3'=arg3P1, (arg2-arg1P1 == 0 /\ arg2+arg1-arg3P1 == 0 /\ -5+arg3 < 0 /\ -arg2P1+arg1 == 0), cost: 1 New rule: f93_0_main_GE -> f93_0_main_GE : arg2'=arg1, arg1'=arg2, arg3'=arg2+arg1, 5-arg3 > 0, cost: 1 Simplified rules Start location: __init 3: f1_0_main_ConstantStackPush -> f93_0_main_GE : arg2'=2, arg1'=1, arg3'=3, TRUE, cost: 1 4: f93_0_main_GE -> f93_0_main_GE : arg2'=arg1, arg1'=arg2, arg3'=arg2+arg1, 5-arg3 > 0, cost: 1 2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, TRUE, cost: 1 Applied unrolling Original rule: f93_0_main_GE -> f93_0_main_GE : arg2'=arg1, arg1'=arg2, arg3'=arg2+arg1, 5-arg3 > 0, cost: 1 New rule: f93_0_main_GE -> f93_0_main_GE : arg2'=arg2, arg1'=arg1, arg3'=arg2+arg1, (5-arg2-arg1 > 0 /\ 5-arg3 > 0), cost: 2 Applied acceleration Original rule: f93_0_main_GE -> f93_0_main_GE : arg2'=arg2, arg1'=arg1, arg3'=arg2+arg1, (5-arg2-arg1 > 0 /\ 5-arg3 > 0), cost: 2 New rule: f93_0_main_GE -> f93_0_main_GE : arg2'=arg2, arg1'=arg1, arg3'=arg2+arg1, (5-arg2-arg1 > 0 /\ -1+n >= 0 /\ 5-arg3 > 0), cost: 2*n Sub-proof via acceration calculus written to file:///tmp/tmpnam_CcogLf.txt Applied nonterm Original rule: f93_0_main_GE -> f93_0_main_GE : arg2'=arg2, arg1'=arg1, arg3'=arg2+arg1, (5-arg2-arg1 > 0 /\ 5-arg3 > 0), cost: 2 New rule: f93_0_main_GE -> [3] : (5-arg2-arg1 > 0 /\ arg2+arg1-arg3 <= 0 /\ 5-arg3 > 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_AjblbO.txt Applied simplification Original rule: f93_0_main_GE -> [3] : (5-arg2-arg1 > 0 /\ arg2+arg1-arg3 <= 0 /\ 5-arg3 > 0), cost: NONTERM New rule: f93_0_main_GE -> [3] : (arg2+arg1-arg3 <= 0 /\ 5-arg3 > 0), cost: NONTERM Applied deletion Removed the following rules: 4 Accelerated simple loops Start location: __init 3: f1_0_main_ConstantStackPush -> f93_0_main_GE : arg2'=2, arg1'=1, arg3'=3, TRUE, cost: 1 5: f93_0_main_GE -> f93_0_main_GE : arg2'=arg2, arg1'=arg1, arg3'=arg2+arg1, (5-arg2-arg1 > 0 /\ -1+n >= 0 /\ 5-arg3 > 0), cost: 2*n 7: f93_0_main_GE -> [3] : (arg2+arg1-arg3 <= 0 /\ 5-arg3 > 0), cost: NONTERM 2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, TRUE, cost: 1 Applied chaining First rule: f1_0_main_ConstantStackPush -> f93_0_main_GE : arg2'=2, arg1'=1, arg3'=3, TRUE, cost: 1 Second rule: f93_0_main_GE -> f93_0_main_GE : arg2'=arg2, arg1'=arg1, arg3'=arg2+arg1, (5-arg2-arg1 > 0 /\ -1+n >= 0 /\ 5-arg3 > 0), cost: 2*n New rule: f1_0_main_ConstantStackPush -> f93_0_main_GE : arg2'=2, arg1'=1, arg3'=3, -1+n >= 0, cost: 1+2*n Applied chaining First rule: f1_0_main_ConstantStackPush -> f93_0_main_GE : arg2'=2, arg1'=1, arg3'=3, TRUE, cost: 1 Second rule: f93_0_main_GE -> [3] : (arg2+arg1-arg3 <= 0 /\ 5-arg3 > 0), cost: NONTERM New rule: f1_0_main_ConstantStackPush -> [3] : (0 <= 0 /\ 2 > 0), cost: NONTERM Applied deletion Removed the following rules: 5 7 Chained accelerated rules with incoming rules Start location: __init 3: f1_0_main_ConstantStackPush -> f93_0_main_GE : arg2'=2, arg1'=1, arg3'=3, TRUE, cost: 1 8: f1_0_main_ConstantStackPush -> f93_0_main_GE : arg2'=2, arg1'=1, arg3'=3, -1+n >= 0, cost: 1+2*n 9: f1_0_main_ConstantStackPush -> [3] : (0 <= 0 /\ 2 > 0), cost: NONTERM 2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 9: f1_0_main_ConstantStackPush -> [3] : (0 <= 0 /\ 2 > 0), cost: NONTERM 2: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, TRUE, cost: 1 Eliminating location f1_0_main_ConstantStackPush by chaining: Applied chaining First rule: __init -> f1_0_main_ConstantStackPush : arg2'=arg2P2, arg1'=arg1P2, arg3'=arg3P2, TRUE, cost: 1 Second rule: f1_0_main_ConstantStackPush -> [3] : (0 <= 0 /\ 2 > 0), cost: NONTERM New rule: __init -> [3] : (0 <= 0 /\ 2 > 0), cost: NONTERM Applied deletion Removed the following rules: 2 9 Eliminated locations on linear paths Start location: __init 10: __init -> [3] : (0 <= 0 /\ 2 > 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 10 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (0 <= 0 /\ 2 > 0)