NO Initial ITS Start location: __init 0: f238_0_createIntList_Return -> f376_0_main_FieldAccess : arg2'=arg2P0, arg1'=arg1P0, (1+arg1 > 0 /\ 1+arg1P0 > 0 /\ arg1P0-arg1 <= 0), cost: 1 2: f376_0_main_FieldAccess -> f376_0_main_FieldAccess : arg2'=arg2P2, arg1'=arg1P2, (arg1 > 0 /\ arg1P2 > 0 /\ -arg1+arg1P2 <= 0 /\ x70 > 0), cost: 1 1: f1_0_main_Load -> f376_0_main_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 3: f1_0_main_Load -> f491_0_createIntList_LE : arg2'=arg2P3, arg1'=arg1P3, (1-arg2P3 == 0 /\ 1+arg1P3 > 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 4: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=arg2P4, arg1'=arg1P4, (arg2 > 0 /\ 1+arg2-arg2P4 == 0 /\ arg1 > 0 /\ -1+arg1-arg1P4 == 0), cost: 1 5: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, TRUE, cost: 1 Removed unreachable rules and leafs Start location: __init 2: f376_0_main_FieldAccess -> f376_0_main_FieldAccess : arg2'=arg2P2, arg1'=arg1P2, (arg1 > 0 /\ arg1P2 > 0 /\ -arg1+arg1P2 <= 0 /\ x70 > 0), cost: 1 1: f1_0_main_Load -> f376_0_main_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 3: f1_0_main_Load -> f491_0_createIntList_LE : arg2'=arg2P3, arg1'=arg1P3, (1-arg2P3 == 0 /\ 1+arg1P3 > 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 4: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=arg2P4, arg1'=arg1P4, (arg2 > 0 /\ 1+arg2-arg2P4 == 0 /\ arg1 > 0 /\ -1+arg1-arg1P4 == 0), cost: 1 5: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, TRUE, cost: 1 Applied preprocessing Original rule: f376_0_main_FieldAccess -> f376_0_main_FieldAccess : arg2'=arg2P2, arg1'=arg1P2, (arg1 > 0 /\ arg1P2 > 0 /\ -arg1+arg1P2 <= 0 /\ x70 > 0), cost: 1 New rule: f376_0_main_FieldAccess -> f376_0_main_FieldAccess : arg2'=arg2P2, arg1'=arg1P2, (arg1P2 > 0 /\ -arg1+arg1P2 <= 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f491_0_createIntList_LE : arg2'=arg2P3, arg1'=arg1P3, (1-arg2P3 == 0 /\ 1+arg1P3 > 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 New rule: f1_0_main_Load -> f491_0_createIntList_LE : arg2'=1, arg1'=arg1P3, (1+arg1P3 > 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 Applied preprocessing Original rule: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=arg2P4, arg1'=arg1P4, (arg2 > 0 /\ 1+arg2-arg2P4 == 0 /\ arg1 > 0 /\ -1+arg1-arg1P4 == 0), cost: 1 New rule: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=1+arg2, arg1'=-1+arg1, (arg2 > 0 /\ arg1 > 0), cost: 1 Simplified rules Start location: __init 6: f376_0_main_FieldAccess -> f376_0_main_FieldAccess : arg2'=arg2P2, arg1'=arg1P2, (arg1P2 > 0 /\ -arg1+arg1P2 <= 0), cost: 1 1: f1_0_main_Load -> f376_0_main_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 7: f1_0_main_Load -> f491_0_createIntList_LE : arg2'=1, arg1'=arg1P3, (1+arg1P3 > 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 8: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=1+arg2, arg1'=-1+arg1, (arg2 > 0 /\ arg1 > 0), cost: 1 5: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, TRUE, cost: 1 Applied nonterm Original rule: f376_0_main_FieldAccess -> f376_0_main_FieldAccess : arg2'=arg2P2, arg1'=arg1P2, (arg1P2 > 0 /\ -arg1+arg1P2 <= 0), cost: 1 New rule: f376_0_main_FieldAccess -> [5] : (-1+n >= 0 /\ arg1-arg1P2 >= 0 /\ arg1P2 > 0), cost: NONTERM Sub-proof via acceration calculus written to file:///tmp/tmpnam_ecGpPN.txt Applied deletion Removed the following rules: 6 Applied acceleration Original rule: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=1+arg2, arg1'=-1+arg1, (arg2 > 0 /\ arg1 > 0), cost: 1 New rule: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=n0+arg2, arg1'=-n0+arg1, (n0 >= 0 /\ arg2 > 0 /\ 1-n0+arg1 > 0), cost: n0 Sub-proof via acceration calculus written to file:///tmp/tmpnam_OGmFPC.txt Applied instantiation Original rule: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=n0+arg2, arg1'=-n0+arg1, (n0 >= 0 /\ arg2 > 0 /\ 1-n0+arg1 > 0), cost: n0 New rule: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=arg2+arg1, arg1'=0, (1 > 0 /\ arg2 > 0 /\ arg1 >= 0), cost: arg1 Applied simplification Original rule: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=arg2+arg1, arg1'=0, (1 > 0 /\ arg2 > 0 /\ arg1 >= 0), cost: arg1 New rule: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=arg2+arg1, arg1'=0, (arg2 > 0 /\ arg1 >= 0), cost: arg1 Applied deletion Removed the following rules: 8 Accelerated simple loops Start location: __init 9: f376_0_main_FieldAccess -> [5] : (-1+n >= 0 /\ arg1-arg1P2 >= 0 /\ arg1P2 > 0), cost: NONTERM 1: f1_0_main_Load -> f376_0_main_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 7: f1_0_main_Load -> f491_0_createIntList_LE : arg2'=1, arg1'=arg1P3, (1+arg1P3 > 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 11: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=arg2+arg1, arg1'=0, (arg2 > 0 /\ arg1 >= 0), cost: arg1 5: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f376_0_main_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 Second rule: f376_0_main_FieldAccess -> [5] : (-1+n >= 0 /\ arg1-arg1P2 >= 0 /\ arg1P2 > 0), cost: NONTERM New rule: f1_0_main_Load -> [5] : arg1 > 0, cost: NONTERM Applied deletion Removed the following rules: 9 Applied chaining First rule: f1_0_main_Load -> f491_0_createIntList_LE : arg2'=1, arg1'=arg1P3, (1+arg1P3 > 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 Second rule: f491_0_createIntList_LE -> f491_0_createIntList_LE : arg2'=arg2+arg1, arg1'=0, (arg2 > 0 /\ arg1 >= 0), cost: arg1 New rule: f1_0_main_Load -> f491_0_createIntList_LE : arg2'=1+arg1P3, arg1'=0, (1+arg1P3 > 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1+arg1P3 Applied deletion Removed the following rules: 11 Chained accelerated rules with incoming rules Start location: __init 1: f1_0_main_Load -> f376_0_main_FieldAccess : arg2'=arg2P1, arg1'=arg1P1, (arg1 > 0 /\ 1+arg1P1 > 0), cost: 1 7: f1_0_main_Load -> f491_0_createIntList_LE : arg2'=1, arg1'=arg1P3, (1+arg1P3 > 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1 12: f1_0_main_Load -> [5] : arg1 > 0, cost: NONTERM 13: f1_0_main_Load -> f491_0_createIntList_LE : arg2'=1+arg1P3, arg1'=0, (1+arg1P3 > 0 /\ 1+arg2 > 0 /\ arg1 > 0), cost: 1+arg1P3 5: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init 12: f1_0_main_Load -> [5] : arg1 > 0, cost: NONTERM 5: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, TRUE, cost: 1 Eliminating location f1_0_main_Load by chaining: Applied chaining First rule: __init -> f1_0_main_Load : arg2'=arg2P5, arg1'=arg1P5, TRUE, cost: 1 Second rule: f1_0_main_Load -> [5] : arg1 > 0, cost: NONTERM New rule: __init -> [5] : arg1P5 > 0, cost: NONTERM Applied deletion Removed the following rules: 5 12 Eliminated locations on linear paths Start location: __init 14: __init -> [5] : arg1P5 > 0, cost: NONTERM Computing asymptotic complexity Proved nontermination of rule 14 via SMT. Proved the following lower bound Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: arg1P5 > 0