NO Initial ITS Start location: __init 0: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=arg1P0, -arg1P0 == 0, cost: 1 1: f41_0_main_GE -> f41_0_main_GE : arg1'=arg1P1, (51-arg1P1 == 0 /\ -50+arg1 < 0), cost: 1 2: f41_0_main_GE -> f41_0_main_GE : arg1'=arg1P2, (-49+arg1 > 0 /\ 49-arg1P2 == 0), cost: 1 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=arg1P0, -arg1P0 == 0, cost: 1 New rule: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=0, TRUE, cost: 1 Applied preprocessing Original rule: f41_0_main_GE -> f41_0_main_GE : arg1'=arg1P1, (51-arg1P1 == 0 /\ -50+arg1 < 0), cost: 1 New rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, 50-arg1 > 0, cost: 1 Applied preprocessing Original rule: f41_0_main_GE -> f41_0_main_GE : arg1'=arg1P2, (-49+arg1 > 0 /\ 49-arg1P2 == 0), cost: 1 New rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, -49+arg1 > 0, cost: 1 Simplified rules Start location: __init 4: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=0, TRUE, cost: 1 5: f41_0_main_GE -> f41_0_main_GE : arg1'=51, 50-arg1 > 0, cost: 1 6: f41_0_main_GE -> f41_0_main_GE : arg1'=49, -49+arg1 > 0, cost: 1 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Applied chaining First rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, 50-arg1 > 0, cost: 1 Second rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, -49+arg1 > 0, cost: 1 New rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, 50-arg1 > 0, cost: 2 Applied nonterm Original rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, 50-arg1 > 0, cost: 2 New rule: f41_0_main_GE -> [3] : 50-arg1 > 0, cost: NONTERM Applied acceleration Original rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, 50-arg1 > 0, cost: 2 New rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, 50-arg1 > 0, cost: 2*n3 Applied chaining First rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, -49+arg1 > 0, cost: 1 Second rule: f41_0_main_GE -> [3] : 50-arg1 > 0, cost: NONTERM New rule: f41_0_main_GE -> [3] : (1 > 0 /\ -49+arg1 > 0), cost: NONTERM Applied chaining First rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, -49+arg1 > 0, cost: 1 Second rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, 50-arg1 > 0, cost: 2*n3 New rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, (1 > 0 /\ -49+arg1 > 0), cost: 1+2*n3 Applied chaining First rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, -49+arg1 > 0, cost: 1 Second rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, 50-arg1 > 0, cost: 1 New rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, -49+arg1 > 0, cost: 2 Applied nonterm Original rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, -49+arg1 > 0, cost: 2 New rule: f41_0_main_GE -> [3] : -49+arg1 > 0, cost: NONTERM Applied acceleration Original rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, -49+arg1 > 0, cost: 2 New rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, -49+arg1 > 0, cost: 2*n5 Applied chaining First rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, 50-arg1 > 0, cost: 1 Second rule: f41_0_main_GE -> [3] : -49+arg1 > 0, cost: NONTERM New rule: f41_0_main_GE -> [3] : (2 > 0 /\ 50-arg1 > 0), cost: NONTERM Applied chaining First rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, 50-arg1 > 0, cost: 1 Second rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, -49+arg1 > 0, cost: 2*n5 New rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, (2 > 0 /\ 50-arg1 > 0), cost: 1+2*n5 Applied simplification Original rule: f41_0_main_GE -> [3] : (1 > 0 /\ -49+arg1 > 0), cost: NONTERM New rule: f41_0_main_GE -> [3] : -49+arg1 > 0, cost: NONTERM Applied simplification Original rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, (1 > 0 /\ -49+arg1 > 0), cost: 1+2*n3 New rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, -49+arg1 > 0, cost: 1+2*n3 Applied simplification Original rule: f41_0_main_GE -> [3] : (2 > 0 /\ 50-arg1 > 0), cost: NONTERM New rule: f41_0_main_GE -> [3] : 50-arg1 > 0, cost: NONTERM Applied simplification Original rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, (2 > 0 /\ 50-arg1 > 0), cost: 1+2*n5 New rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, 50-arg1 > 0, cost: 1+2*n5 Applied deletion Removed the following rules: 7 11 Accelerated simple loops Start location: __init 4: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=0, TRUE, cost: 1 5: f41_0_main_GE -> f41_0_main_GE : arg1'=51, 50-arg1 > 0, cost: 1 6: f41_0_main_GE -> f41_0_main_GE : arg1'=49, -49+arg1 > 0, cost: 1 9: f41_0_main_GE -> f41_0_main_GE : arg1'=49, 50-arg1 > 0, cost: 2*n3 13: f41_0_main_GE -> f41_0_main_GE : arg1'=51, -49+arg1 > 0, cost: 2*n5 15: f41_0_main_GE -> [3] : -49+arg1 > 0, cost: NONTERM 16: f41_0_main_GE -> f41_0_main_GE : arg1'=49, -49+arg1 > 0, cost: 1+2*n3 17: f41_0_main_GE -> [3] : 50-arg1 > 0, cost: NONTERM 18: f41_0_main_GE -> f41_0_main_GE : arg1'=51, 50-arg1 > 0, cost: 1+2*n5 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Applied chaining First rule: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=0, TRUE, cost: 1 Second rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, 50-arg1 > 0, cost: 1 New rule: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=51, 50 > 0, cost: 2 Applied chaining First rule: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=0, TRUE, cost: 1 Second rule: f41_0_main_GE -> f41_0_main_GE : arg1'=49, 50-arg1 > 0, cost: 2*n3 New rule: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=49, 50 > 0, cost: 1+2*n3 Applied chaining First rule: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=0, TRUE, cost: 1 Second rule: f41_0_main_GE -> [3] : 50-arg1 > 0, cost: NONTERM New rule: f1_0_main_ConstantStackPush -> [3] : 50 > 0, cost: NONTERM Applied chaining First rule: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=0, TRUE, cost: 1 Second rule: f41_0_main_GE -> f41_0_main_GE : arg1'=51, 50-arg1 > 0, cost: 1+2*n5 New rule: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=51, 50 > 0, cost: 2+2*n5 Applied deletion Removed the following rules: 5 6 9 13 15 16 17 18 Chained accelerated rules with incoming rules Start location: __init 4: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=0, TRUE, cost: 1 19: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=51, 50 > 0, cost: 2 20: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=49, 50 > 0, cost: 1+2*n3 21: f1_0_main_ConstantStackPush -> [3] : 50 > 0, cost: NONTERM 22: f1_0_main_ConstantStackPush -> f41_0_main_GE : arg1'=51, 50 > 0, cost: 2+2*n5 3: __init -> f1_0_main_ConstantStackPush : arg1'=arg1P3, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 21: f1_0_main_ConstantStackPush -> [3] : 50 > 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] : 50 > 0, cost: NONTERM New rule: __init -> [3] : 50 > 0, cost: NONTERM Applied deletion Removed the following rules: 3 21 Eliminated locations on linear paths Start location: __init 23: __init -> [3] : 50 > 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: 50 > 0