NO Initial ITS Start location: __init 0: f289_0_createIntList_Return -> f491_0_random_ArrayAccess : arg1'=arg1P0, arg2'=arg2P0, (-arg1+arg1P0 <= 0 /\ 1+arg1P0 > 0 /\ 1+arg1 > 0), cost: 1 2: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0 /\ 1+arg1 > 0 /\ x70 > 0), cost: 1 1: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 6: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P6, arg2'=arg2P6, (arg1 > 0 /\ 1-arg2P6 == 0 /\ 1+arg1P6 > 0 /\ 1+arg2 > 0), cost: 1 3: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P3, arg2'=arg2P3, (2-arg1+arg1P3 <= 0 /\ -1+x120 < 0 /\ -1+arg1 > 0 /\ 1+arg1P3 > 0), cost: 1 4: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ x150 > 0), cost: 1 5: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P5, arg2'=arg2P5, (arg1P5 > 0 /\ 2-arg1+arg1P5 <= 0 /\ -1+x180 < 0 /\ -2+arg1 > 0), cost: 1 7: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=arg1P7, arg2'=arg2P7, (arg1 > 0 /\ -1+arg1-arg1P7 == 0 /\ arg2 > 0 /\ 1-arg2P7+arg2 == 0), cost: 1 8: __init -> f1_0_main_Load : arg1'=arg1P8, arg2'=arg2P8, TRUE, cost: 1 Removed unreachable rules and leafs Start location: __init 2: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0 /\ 1+arg1 > 0 /\ x70 > 0), cost: 1 1: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 6: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P6, arg2'=arg2P6, (arg1 > 0 /\ 1-arg2P6 == 0 /\ 1+arg1P6 > 0 /\ 1+arg2 > 0), cost: 1 3: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P3, arg2'=arg2P3, (2-arg1+arg1P3 <= 0 /\ -1+x120 < 0 /\ -1+arg1 > 0 /\ 1+arg1P3 > 0), cost: 1 4: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ x150 > 0), cost: 1 5: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P5, arg2'=arg2P5, (arg1P5 > 0 /\ 2-arg1+arg1P5 <= 0 /\ -1+x180 < 0 /\ -2+arg1 > 0), cost: 1 7: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=arg1P7, arg2'=arg2P7, (arg1 > 0 /\ -1+arg1-arg1P7 == 0 /\ arg2 > 0 /\ 1-arg2P7+arg2 == 0), cost: 1 8: __init -> f1_0_main_Load : arg1'=arg1P8, arg2'=arg2P8, TRUE, cost: 1 Applied preprocessing Original rule: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0 /\ 1+arg1 > 0 /\ x70 > 0), cost: 1 New rule: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0), cost: 1 Applied preprocessing Original rule: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P3, arg2'=arg2P3, (2-arg1+arg1P3 <= 0 /\ -1+x120 < 0 /\ -1+arg1 > 0 /\ 1+arg1P3 > 0), cost: 1 New rule: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P3, arg2'=arg2P3, (2-arg1+arg1P3 <= 0 /\ 1+arg1P3 > 0), cost: 1 Applied preprocessing Original rule: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4 > 0 /\ -arg1+arg1P4 <= 0 /\ x150 > 0), cost: 1 New rule: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (arg1P4 > 0 /\ -arg1+arg1P4 <= 0), cost: 1 Applied preprocessing Original rule: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P5, arg2'=arg2P5, (arg1P5 > 0 /\ 2-arg1+arg1P5 <= 0 /\ -1+x180 < 0 /\ -2+arg1 > 0), cost: 1 New rule: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P5, arg2'=arg2P5, (arg1P5 > 0 /\ 2-arg1+arg1P5 <= 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P6, arg2'=arg2P6, (arg1 > 0 /\ 1-arg2P6 == 0 /\ 1+arg1P6 > 0 /\ 1+arg2 > 0), cost: 1 New rule: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P6, arg2'=1, (arg1 > 0 /\ 1+arg1P6 > 0 /\ 1+arg2 > 0), cost: 1 Applied preprocessing Original rule: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=arg1P7, arg2'=arg2P7, (arg1 > 0 /\ -1+arg1-arg1P7 == 0 /\ arg2 > 0 /\ 1-arg2P7+arg2 == 0), cost: 1 New rule: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=-1+arg1, arg2'=1+arg2, (arg1 > 0 /\ arg2 > 0), cost: 1 Simplified rules Start location: __init 9: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0), cost: 1 1: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 13: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P6, arg2'=1, (arg1 > 0 /\ 1+arg1P6 > 0 /\ 1+arg2 > 0), cost: 1 10: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P3, arg2'=arg2P3, (2-arg1+arg1P3 <= 0 /\ 1+arg1P3 > 0), cost: 1 11: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (arg1P4 > 0 /\ -arg1+arg1P4 <= 0), cost: 1 12: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P5, arg2'=arg2P5, (arg1P5 > 0 /\ 2-arg1+arg1P5 <= 0), cost: 1 14: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=-1+arg1, arg2'=1+arg2, (arg1 > 0 /\ arg2 > 0), cost: 1 8: __init -> f1_0_main_Load : arg1'=arg1P8, arg2'=arg2P8, TRUE, cost: 1 Applied nonterm Original rule: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (arg1P4 > 0 /\ -arg1+arg1P4 <= 0), cost: 1 New rule: f815_0_main_NULL -> [6] : (arg1-arg1P4 >= 0 /\ arg1P4 > 0), cost: NONTERM Applied acceleration Original rule: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (arg1P4 > 0 /\ -arg1+arg1P4 <= 0), cost: 1 New rule: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (arg1-arg1P4 >= 0 /\ arg1P4 > 0), cost: n3 Applied deletion Removed the following rules: 11 Applied acceleration Original rule: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=-1+arg1, arg2'=1+arg2, (arg1 > 0 /\ arg2 > 0), cost: 1 New rule: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=arg1-n17, arg2'=n17+arg2, (n17 >= 0 /\ 1+arg1-n17 > 0 /\ arg2 > 0), cost: n17 Applied instantiation Original rule: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=arg1-n17, arg2'=n17+arg2, (n17 >= 0 /\ 1+arg1-n17 > 0 /\ arg2 > 0), cost: n17 New rule: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=0, arg2'=arg1+arg2, (arg1 >= 0 /\ 1 > 0 /\ arg2 > 0), cost: arg1 Applied simplification Original rule: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=0, arg2'=arg1+arg2, (arg1 >= 0 /\ 1 > 0 /\ arg2 > 0), cost: arg1 New rule: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=0, arg2'=arg1+arg2, (arg1 >= 0 /\ arg2 > 0), cost: arg1 Applied deletion Removed the following rules: 14 Accelerated simple loops Start location: __init 9: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0), cost: 1 1: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 13: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P6, arg2'=1, (arg1 > 0 /\ 1+arg1P6 > 0 /\ 1+arg2 > 0), cost: 1 10: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P3, arg2'=arg2P3, (2-arg1+arg1P3 <= 0 /\ 1+arg1P3 > 0), cost: 1 12: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P5, arg2'=arg2P5, (arg1P5 > 0 /\ 2-arg1+arg1P5 <= 0), cost: 1 15: f815_0_main_NULL -> [6] : (arg1-arg1P4 >= 0 /\ arg1P4 > 0), cost: NONTERM 16: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (arg1-arg1P4 >= 0 /\ arg1P4 > 0), cost: n3 18: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=0, arg2'=arg1+arg2, (arg1 >= 0 /\ arg2 > 0), cost: arg1 8: __init -> f1_0_main_Load : arg1'=arg1P8, arg2'=arg2P8, TRUE, cost: 1 Applied chaining First rule: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0), cost: 1 Second rule: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P3, arg2'=arg2P3, (2-arg1+arg1P3 <= 0 /\ 1+arg1P3 > 0), cost: 1 New rule: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P3, arg2'=arg2P3, (2-arg1+arg1P3 <= 0 /\ 1+arg1P3 > 0), cost: 2 Applied chaining First rule: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0), cost: 1 Second rule: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P5, arg2'=arg2P5, (arg1P5 > 0 /\ 2-arg1+arg1P5 <= 0), cost: 1 New rule: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P5, arg2'=arg2P5, (arg1P5 > 0 /\ 2-arg1+arg1P5 <= 0), cost: 2 Applied chaining First rule: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0), cost: 1 Second rule: f815_0_main_NULL -> [6] : (arg1-arg1P4 >= 0 /\ arg1P4 > 0), cost: NONTERM New rule: f491_0_random_ArrayAccess -> [6] : -1+arg1 >= 0, cost: NONTERM Applied chaining First rule: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0), cost: 1 Second rule: f815_0_main_NULL -> f815_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (arg1-arg1P4 >= 0 /\ arg1P4 > 0), cost: n3 New rule: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (arg1P4 > 0 /\ -arg1+arg1P4 <= 0), cost: 1+n3 Applied deletion Removed the following rules: 10 12 15 16 Applied chaining First rule: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P6, arg2'=1, (arg1 > 0 /\ 1+arg1P6 > 0 /\ 1+arg2 > 0), cost: 1 Second rule: f639_0_createIntList_LE -> f639_0_createIntList_LE : arg1'=0, arg2'=arg1+arg2, (arg1 >= 0 /\ arg2 > 0), cost: arg1 New rule: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=0, arg2'=1+arg1P6, (arg1 > 0 /\ 1+arg1P6 > 0 /\ 1+arg2 > 0), cost: 1+arg1P6 Applied deletion Removed the following rules: 18 Chained accelerated rules with incoming rules Start location: __init 9: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P2, arg2'=arg2P2, (-arg1+arg1P2 <= 0 /\ 1+arg1P2 > 0), cost: 1 19: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P3, arg2'=arg2P3, (2-arg1+arg1P3 <= 0 /\ 1+arg1P3 > 0), cost: 2 20: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P5, arg2'=arg2P5, (arg1P5 > 0 /\ 2-arg1+arg1P5 <= 0), cost: 2 21: f491_0_random_ArrayAccess -> [6] : -1+arg1 >= 0, cost: NONTERM 22: f491_0_random_ArrayAccess -> f815_0_main_NULL : arg1'=arg1P4, arg2'=arg2P4, (arg1P4 > 0 /\ -arg1+arg1P4 <= 0), cost: 1+n3 1: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 13: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=arg1P6, arg2'=1, (arg1 > 0 /\ 1+arg1P6 > 0 /\ 1+arg2 > 0), cost: 1 23: f1_0_main_Load -> f639_0_createIntList_LE : arg1'=0, arg2'=1+arg1P6, (arg1 > 0 /\ 1+arg1P6 > 0 /\ 1+arg2 > 0), cost: 1+arg1P6 8: __init -> f1_0_main_Load : arg1'=arg1P8, arg2'=arg2P8, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 21: f491_0_random_ArrayAccess -> [6] : -1+arg1 >= 0, cost: NONTERM 1: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 8: __init -> f1_0_main_Load : arg1'=arg1P8, arg2'=arg2P8, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg1'=arg1P8, arg2'=arg2P8, TRUE, cost: 1 Second rule: f1_0_main_Load -> f491_0_random_ArrayAccess : arg1'=arg1P1, arg2'=arg2P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 New rule: __init -> f491_0_random_ArrayAccess : arg1'=arg1P1, arg2'=arg2P1, (arg1P8 > 0 /\ 1+arg1P1 > 0), cost: 2 Applied deletion Removed the following rules: 1 8 Eliminating location f491_0_random_ArrayAccess by chaining: Applied chaining First rule: __init -> f491_0_random_ArrayAccess : arg1'=arg1P1, arg2'=arg2P1, (arg1P8 > 0 /\ 1+arg1P1 > 0), cost: 2 Second rule: f491_0_random_ArrayAccess -> [6] : -1+arg1 >= 0, cost: NONTERM New rule: __init -> [6] : (arg1P8 > 0 /\ -1+arg1P1 >= 0 /\ 1+arg1P1 > 0), cost: NONTERM Applied simplification Original rule: __init -> [6] : (arg1P8 > 0 /\ -1+arg1P1 >= 0 /\ 1+arg1P1 > 0), cost: NONTERM New rule: __init -> [6] : (arg1P8 > 0 /\ -1+arg1P1 >= 0), cost: NONTERM Applied deletion Removed the following rules: 21 24 Eliminated locations on linear paths Start location: __init 25: __init -> [6] : (arg1P8 > 0 /\ -1+arg1P1 >= 0), cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 25 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: (arg1P8 > 0 /\ -1+arg1P1 >= 0)