NO Initial ITS Start location: __init 0: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=arg1P0, -arg1P0 == 0, cost: 1 1: f46_0_main_LE -> f46_0_main_LE : arg1'=arg1P1, (-11+arg1 < 0 /\ 1-arg1P1+arg1 == 0), cost: 1 2: f46_0_main_LE -> f46_0_main_LE : arg1'=arg1P2, (-arg1P2+arg1 == 0 /\ -10+arg1 > 0), cost: 1 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=arg1P0, -arg1P0 == 0, cost: 1 New rule: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=0, TRUE, cost: 1 Applied preprocessing Original rule: f46_0_main_LE -> f46_0_main_LE : arg1'=arg1P1, (-11+arg1 < 0 /\ 1-arg1P1+arg1 == 0), cost: 1 New rule: f46_0_main_LE -> f46_0_main_LE : arg1'=1+arg1, 11-arg1 > 0, cost: 1 Applied preprocessing Original rule: f46_0_main_LE -> f46_0_main_LE : arg1'=arg1P2, (-arg1P2+arg1 == 0 /\ -10+arg1 > 0), cost: 1 New rule: f46_0_main_LE -> f46_0_main_LE : -10+arg1 > 0, cost: 1 Simplified rules Start location: __init 4: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=0, TRUE, cost: 1 5: f46_0_main_LE -> f46_0_main_LE : arg1'=1+arg1, 11-arg1 > 0, cost: 1 6: f46_0_main_LE -> f46_0_main_LE : -10+arg1 > 0, cost: 1 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Applied acceleration Original rule: f46_0_main_LE -> f46_0_main_LE : arg1'=1+arg1, 11-arg1 > 0, cost: 1 New rule: f46_0_main_LE -> f46_0_main_LE : arg1'=n+arg1, (n >= 0 /\ 12-n-arg1 > 0), cost: n Sub-proof via acceration calculus written to file:///tmp/tmpnam_MimaFe.txt Applied instantiation Original rule: f46_0_main_LE -> f46_0_main_LE : arg1'=n+arg1, (n >= 0 /\ 12-n-arg1 > 0), cost: n New rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, (1 > 0 /\ 11-arg1 >= 0), cost: 11-arg1 Applied nonterm Original rule: f46_0_main_LE -> f46_0_main_LE : -10+arg1 > 0, cost: 1 New rule: f46_0_main_LE -> [3] : (-10+arg1 > 0 /\ n0 >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_EoJpAo.txt Applied chaining First rule: f46_0_main_LE -> f46_0_main_LE : -10+arg1 > 0, cost: 1 Second rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, (1 > 0 /\ 11-arg1 >= 0), cost: 11-arg1 New rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, -11+arg1 == 0, cost: 12-arg1 Applied nonterm Original rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, -11+arg1 == 0, cost: 12-arg1 New rule: f46_0_main_LE -> [3] : (-1+n2 >= 0 /\ -11+arg1 >= 0 /\ 11-arg1 >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_gojOfp.txt Applied chaining First rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, (1 > 0 /\ 11-arg1 >= 0), cost: 11-arg1 Second rule: f46_0_main_LE -> [3] : (-1+n2 >= 0 /\ -11+arg1 >= 0 /\ 11-arg1 >= 0), cost: NONTERM New rule: f46_0_main_LE -> [3] : (0 >= 0 /\ 1 > 0 /\ -1+n2 >= 0 /\ 11-arg1 >= 0), cost: NONTERM Applied chaining First rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, (1 > 0 /\ 11-arg1 >= 0), cost: 11-arg1 Second rule: f46_0_main_LE -> f46_0_main_LE : -10+arg1 > 0, cost: 1 New rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, -11+arg1 <= 0, cost: 12-arg1 Applied nonterm Original rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, -11+arg1 <= 0, cost: 12-arg1 New rule: f46_0_main_LE -> [3] : (11-arg1 >= 0 /\ -1+n3 >= 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_GLHJPK.txt Applied chaining First rule: f46_0_main_LE -> f46_0_main_LE : -10+arg1 > 0, cost: 1 Second rule: f46_0_main_LE -> [3] : (11-arg1 >= 0 /\ -1+n3 >= 0), cost: NONTERM New rule: f46_0_main_LE -> [3] : (-10+arg1 > 0 /\ 11-arg1 >= 0 /\ -1+n3 >= 0), cost: NONTERM Applied simplification Original rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, (1 > 0 /\ 11-arg1 >= 0), cost: 11-arg1 New rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, -11+arg1 <= 0, cost: 11-arg1 Applied simplification Original rule: f46_0_main_LE -> [3] : (-1+n2 >= 0 /\ -11+arg1 >= 0 /\ 11-arg1 >= 0), cost: NONTERM New rule: f46_0_main_LE -> [3] : (-1+n2 >= 0 /\ -11+arg1 <= 0 /\ -11+arg1 >= 0), cost: NONTERM Applied simplification Original rule: f46_0_main_LE -> [3] : (0 >= 0 /\ 1 > 0 /\ -1+n2 >= 0 /\ 11-arg1 >= 0), cost: NONTERM New rule: f46_0_main_LE -> [3] : (-1+n2 >= 0 /\ -11+arg1 <= 0), cost: NONTERM Applied simplification Original rule: f46_0_main_LE -> [3] : (11-arg1 >= 0 /\ -1+n3 >= 0), cost: NONTERM New rule: f46_0_main_LE -> [3] : (-11+arg1 <= 0 /\ -1+n3 >= 0), cost: NONTERM Applied simplification Original rule: f46_0_main_LE -> [3] : (-10+arg1 > 0 /\ 11-arg1 >= 0 /\ -1+n3 >= 0), cost: NONTERM New rule: f46_0_main_LE -> [3] : (-11+arg1 <= 0 /\ -10+arg1 > 0 /\ -1+n3 >= 0), cost: NONTERM Applied deletion Removed the following rules: 5 6 Accelerated simple loops Start location: __init 4: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=0, TRUE, cost: 1 8: f46_0_main_LE -> [3] : (-10+arg1 > 0 /\ n0 >= 0), cost: NONTERM 13: f46_0_main_LE -> f46_0_main_LE : arg1'=11, -11+arg1 <= 0, cost: 11-arg1 14: f46_0_main_LE -> [3] : (-1+n2 >= 0 /\ -11+arg1 <= 0 /\ -11+arg1 >= 0), cost: NONTERM 15: f46_0_main_LE -> [3] : (-1+n2 >= 0 /\ -11+arg1 <= 0), cost: NONTERM 16: f46_0_main_LE -> [3] : (-11+arg1 <= 0 /\ -1+n3 >= 0), cost: NONTERM 17: f46_0_main_LE -> [3] : (-11+arg1 <= 0 /\ -10+arg1 > 0 /\ -1+n3 >= 0), cost: NONTERM 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Applied chaining First rule: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=0, TRUE, cost: 1 Second rule: f46_0_main_LE -> f46_0_main_LE : arg1'=11, -11+arg1 <= 0, cost: 11-arg1 New rule: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=11, -11 <= 0, cost: 12 Applied chaining First rule: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=0, TRUE, cost: 1 Second rule: f46_0_main_LE -> [3] : (-1+n2 >= 0 /\ -11+arg1 <= 0), cost: NONTERM New rule: f1_0_main_ConstantStackPush -> [3] : -11 <= 0, cost: NONTERM Applied chaining First rule: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=0, TRUE, cost: 1 Second rule: f46_0_main_LE -> [3] : (-11+arg1 <= 0 /\ -1+n3 >= 0), cost: NONTERM New rule: f1_0_main_ConstantStackPush -> [3] : -11 <= 0, cost: NONTERM Applied deletion Removed the following rules: 8 13 14 15 16 17 Chained accelerated rules with incoming rules Start location: __init 4: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=0, TRUE, cost: 1 18: f1_0_main_ConstantStackPush -> f46_0_main_LE : arg1'=11, -11 <= 0, cost: 12 19: f1_0_main_ConstantStackPush -> [3] : -11 <= 0, cost: NONTERM 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 19: f1_0_main_ConstantStackPush -> [3] : -11 <= 0, cost: NONTERM 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Eliminating location f1_0_main_ConstantStackPush by chaining: Applied chaining First rule: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Second rule: f1_0_main_ConstantStackPush -> [3] : -11 <= 0, cost: NONTERM New rule: __init -> [3] : -11 <= 0, cost: NONTERM Applied deletion Removed the following rules: 3 19 Eliminated locations on linear paths Start location: __init 20: __init -> [3] : -11 <= 0, cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 20 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: -11 <= 0