WORST_CASE(Omega(0),?) Initial ITS Start location: __init 0: f1_0_main_Load -> f302_0_createList_GE : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 1-arg3P0 == 0 /\ -arg2P0+arg2 == 0 /\ arg2 > 0), cost: 1 1: f1_0_main_Load -> f502_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1 > 0 /\ arg1P1 > 0 /\ 1+x80 > 0 /\ -2+arg2P1 > 0 /\ arg2 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 2: f1_0_main_Load -> f502_0_main_InvokeMethod : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ arg1P2 > 0 /\ 1+arg1-arg2P2 >= 0 /\ -1+arg2P2 > 0 /\ arg2 > 0 /\ arg1-arg1P2 >= 0 /\ 1+x140 > 0), cost: 1 3: f302_0_createList_GE -> f302_0_createList_GE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (arg3-arg2 < 0 /\ arg3 > 0 /\ -1+arg1-arg1P3 == 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0 /\ 1+arg3-arg3P3 == 0 /\ arg2-arg2P3 == 0 /\ -1 < 0), cost: 1 4: f502_0_main_InvokeMethod -> f571_0_sumList_NONNULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4 > 0 /\ -1+arg3 > 0 /\ 1+arg2P4 > 0 /\ 1+arg2P4-arg2 <= 0 /\ arg2 > 0 /\ -arg3P4+arg3 == 0 /\ x180 > 0 /\ arg1P4-arg2 <= 0), cost: 1 5: f571_0_sumList_NONNULL -> f571_0_sumList_NONNULL : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, (-arg2+arg1P5 <= 0 /\ -1+arg3 > 0 /\ 2-arg1+arg1P5 <= 0 /\ 1-arg2+arg2P5 <= 0 /\ arg2 > 0 /\ arg3-arg3P5 == 0 /\ 3-arg1+arg2P5 <= 0 /\ -2+arg1 > 0 /\ 1+arg2P5 > 0 /\ arg1P5 > 0), cost: 1 6: __init -> f1_0_main_Load : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, TRUE, cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f302_0_createList_GE : arg1'=arg1P0, arg3'=arg3P0, arg2'=arg2P0, (arg1 > 0 /\ 1+arg1P0 > 0 /\ 1-arg3P0 == 0 /\ -arg2P0+arg2 == 0 /\ arg2 > 0), cost: 1 New rule: f1_0_main_Load -> f302_0_createList_GE : arg1'=arg1P0, arg3'=1, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f502_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1 > 0 /\ arg1P1 > 0 /\ 1+x80 > 0 /\ -2+arg2P1 > 0 /\ arg2 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 New rule: f1_0_main_Load -> f502_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1P1 > 0 /\ -2+arg2P1 > 0 /\ arg2 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 Applied preprocessing Original rule: f1_0_main_Load -> f502_0_main_InvokeMethod : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1 > 0 /\ arg1P2 > 0 /\ 1+arg1-arg2P2 >= 0 /\ -1+arg2P2 > 0 /\ arg2 > 0 /\ arg1-arg1P2 >= 0 /\ 1+x140 > 0), cost: 1 New rule: f1_0_main_Load -> f502_0_main_InvokeMethod : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1P2 > 0 /\ 1+arg1-arg2P2 >= 0 /\ -1+arg2P2 > 0 /\ arg2 > 0 /\ arg1-arg1P2 >= 0), cost: 1 Applied preprocessing Original rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=arg1P3, arg3'=arg3P3, arg2'=arg2P3, (arg3-arg2 < 0 /\ arg3 > 0 /\ -1+arg1-arg1P3 == 0 /\ 1+arg1 > 0 /\ 1+arg2 > 0 /\ 1+arg3-arg3P3 == 0 /\ arg2-arg2P3 == 0 /\ -1 < 0), cost: 1 New rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=-1+arg1, arg3'=1+arg3, (arg3 > 0 /\ -arg3+arg2 > 0 /\ 1+arg1 > 0), cost: 1 Applied preprocessing Original rule: f502_0_main_InvokeMethod -> f571_0_sumList_NONNULL : arg1'=arg1P4, arg3'=arg3P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4 > 0 /\ -1+arg3 > 0 /\ 1+arg2P4 > 0 /\ 1+arg2P4-arg2 <= 0 /\ arg2 > 0 /\ -arg3P4+arg3 == 0 /\ x180 > 0 /\ arg1P4-arg2 <= 0), cost: 1 New rule: f502_0_main_InvokeMethod -> f571_0_sumList_NONNULL : arg1'=arg1P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4 > 0 /\ -1+arg3 > 0 /\ 1+arg2P4 > 0 /\ 1+arg2P4-arg2 <= 0 /\ arg1P4-arg2 <= 0), cost: 1 Applied preprocessing Original rule: f571_0_sumList_NONNULL -> f571_0_sumList_NONNULL : arg1'=arg1P5, arg3'=arg3P5, arg2'=arg2P5, (-arg2+arg1P5 <= 0 /\ -1+arg3 > 0 /\ 2-arg1+arg1P5 <= 0 /\ 1-arg2+arg2P5 <= 0 /\ arg2 > 0 /\ arg3-arg3P5 == 0 /\ 3-arg1+arg2P5 <= 0 /\ -2+arg1 > 0 /\ 1+arg2P5 > 0 /\ arg1P5 > 0), cost: 1 New rule: f571_0_sumList_NONNULL -> f571_0_sumList_NONNULL : arg1'=arg1P5, arg2'=arg2P5, (-arg2+arg1P5 <= 0 /\ -1+arg3 > 0 /\ 2-arg1+arg1P5 <= 0 /\ 1-arg2+arg2P5 <= 0 /\ 3-arg1+arg2P5 <= 0 /\ 1+arg2P5 > 0 /\ arg1P5 > 0), cost: 1 Simplified rules Start location: __init 7: f1_0_main_Load -> f302_0_createList_GE : arg1'=arg1P0, arg3'=1, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0), cost: 1 8: f1_0_main_Load -> f502_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1P1 > 0 /\ -2+arg2P1 > 0 /\ arg2 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 9: f1_0_main_Load -> f502_0_main_InvokeMethod : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1P2 > 0 /\ 1+arg1-arg2P2 >= 0 /\ -1+arg2P2 > 0 /\ arg2 > 0 /\ arg1-arg1P2 >= 0), cost: 1 10: f302_0_createList_GE -> f302_0_createList_GE : arg1'=-1+arg1, arg3'=1+arg3, (arg3 > 0 /\ -arg3+arg2 > 0 /\ 1+arg1 > 0), cost: 1 11: f502_0_main_InvokeMethod -> f571_0_sumList_NONNULL : arg1'=arg1P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4 > 0 /\ -1+arg3 > 0 /\ 1+arg2P4 > 0 /\ 1+arg2P4-arg2 <= 0 /\ arg1P4-arg2 <= 0), cost: 1 12: f571_0_sumList_NONNULL -> f571_0_sumList_NONNULL : arg1'=arg1P5, arg2'=arg2P5, (-arg2+arg1P5 <= 0 /\ -1+arg3 > 0 /\ 2-arg1+arg1P5 <= 0 /\ 1-arg2+arg2P5 <= 0 /\ 3-arg1+arg2P5 <= 0 /\ 1+arg2P5 > 0 /\ arg1P5 > 0), cost: 1 6: __init -> f1_0_main_Load : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, TRUE, cost: 1 Applied acceleration Original rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=-1+arg1, arg3'=1+arg3, (arg3 > 0 /\ -arg3+arg2 > 0 /\ 1+arg1 > 0), cost: 1 New rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=arg1-n0, arg3'=arg3+n0, (2+arg1-n0 > 0 /\ arg3 > 0 /\ n0 >= 0 /\ 1-arg3-n0+arg2 > 0), cost: n0 Applied instantiation Original rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=arg1-n0, arg3'=arg3+n0, (2+arg1-n0 > 0 /\ arg3 > 0 /\ n0 >= 0 /\ 1-arg3-n0+arg2 > 0), cost: n0 New rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=arg1+arg3-arg2, arg3'=arg2, (1 > 0 /\ 2+arg1+arg3-arg2 > 0 /\ arg3 > 0 /\ -arg3+arg2 >= 0), cost: -arg3+arg2 Applied instantiation Original rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=arg1-n0, arg3'=arg3+n0, (2+arg1-n0 > 0 /\ arg3 > 0 /\ n0 >= 0 /\ 1-arg3-n0+arg2 > 0), cost: n0 New rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=-1, arg3'=1+arg1+arg3, (-arg1-arg3+arg2 > 0 /\ 1 > 0 /\ arg3 > 0 /\ 1+arg1 >= 0), cost: 1+arg1 Applied simplification Original rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=arg1+arg3-arg2, arg3'=arg2, (1 > 0 /\ 2+arg1+arg3-arg2 > 0 /\ arg3 > 0 /\ -arg3+arg2 >= 0), cost: -arg3+arg2 New rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=arg1+arg3-arg2, arg3'=arg2, (2+arg1+arg3-arg2 > 0 /\ arg3 > 0 /\ -arg3+arg2 >= 0), cost: -arg3+arg2 Applied simplification Original rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=-1, arg3'=1+arg1+arg3, (-arg1-arg3+arg2 > 0 /\ 1 > 0 /\ arg3 > 0 /\ 1+arg1 >= 0), cost: 1+arg1 New rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=-1, arg3'=1+arg1+arg3, (-arg1-arg3+arg2 > 0 /\ arg3 > 0 /\ 1+arg1 >= 0), cost: 1+arg1 Applied deletion Removed the following rules: 10 Accelerated simple loops Start location: __init 7: f1_0_main_Load -> f302_0_createList_GE : arg1'=arg1P0, arg3'=1, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0), cost: 1 8: f1_0_main_Load -> f502_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1P1 > 0 /\ -2+arg2P1 > 0 /\ arg2 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 9: f1_0_main_Load -> f502_0_main_InvokeMethod : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1P2 > 0 /\ 1+arg1-arg2P2 >= 0 /\ -1+arg2P2 > 0 /\ arg2 > 0 /\ arg1-arg1P2 >= 0), cost: 1 15: f302_0_createList_GE -> f302_0_createList_GE : arg1'=arg1+arg3-arg2, arg3'=arg2, (2+arg1+arg3-arg2 > 0 /\ arg3 > 0 /\ -arg3+arg2 >= 0), cost: -arg3+arg2 16: f302_0_createList_GE -> f302_0_createList_GE : arg1'=-1, arg3'=1+arg1+arg3, (-arg1-arg3+arg2 > 0 /\ arg3 > 0 /\ 1+arg1 >= 0), cost: 1+arg1 11: f502_0_main_InvokeMethod -> f571_0_sumList_NONNULL : arg1'=arg1P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4 > 0 /\ -1+arg3 > 0 /\ 1+arg2P4 > 0 /\ 1+arg2P4-arg2 <= 0 /\ arg1P4-arg2 <= 0), cost: 1 12: f571_0_sumList_NONNULL -> f571_0_sumList_NONNULL : arg1'=arg1P5, arg2'=arg2P5, (-arg2+arg1P5 <= 0 /\ -1+arg3 > 0 /\ 2-arg1+arg1P5 <= 0 /\ 1-arg2+arg2P5 <= 0 /\ 3-arg1+arg2P5 <= 0 /\ 1+arg2P5 > 0 /\ arg1P5 > 0), cost: 1 6: __init -> f1_0_main_Load : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, TRUE, cost: 1 Applied chaining First rule: f1_0_main_Load -> f302_0_createList_GE : arg1'=arg1P0, arg3'=1, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0), cost: 1 Second rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=arg1+arg3-arg2, arg3'=arg2, (2+arg1+arg3-arg2 > 0 /\ arg3 > 0 /\ -arg3+arg2 >= 0), cost: -arg3+arg2 New rule: f1_0_main_Load -> f302_0_createList_GE : arg1'=1+arg1P0-arg2, arg3'=arg2, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0 /\ 3+arg1P0-arg2 > 0), cost: arg2 Applied chaining First rule: f1_0_main_Load -> f302_0_createList_GE : arg1'=arg1P0, arg3'=1, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0), cost: 1 Second rule: f302_0_createList_GE -> f302_0_createList_GE : arg1'=-1, arg3'=1+arg1+arg3, (-arg1-arg3+arg2 > 0 /\ arg3 > 0 /\ 1+arg1 >= 0), cost: 1+arg1 New rule: f1_0_main_Load -> f302_0_createList_GE : arg1'=-1, arg3'=2+arg1P0, (arg1 > 0 /\ -1-arg1P0+arg2 > 0 /\ 1+arg1P0 > 0), cost: 2+arg1P0 Applied deletion Removed the following rules: 15 16 Applied chaining First rule: f502_0_main_InvokeMethod -> f571_0_sumList_NONNULL : arg1'=arg1P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4 > 0 /\ -1+arg3 > 0 /\ 1+arg2P4 > 0 /\ 1+arg2P4-arg2 <= 0 /\ arg1P4-arg2 <= 0), cost: 1 Second rule: f571_0_sumList_NONNULL -> f571_0_sumList_NONNULL : arg1'=arg1P5, arg2'=arg2P5, (-arg2+arg1P5 <= 0 /\ -1+arg3 > 0 /\ 2-arg1+arg1P5 <= 0 /\ 1-arg2+arg2P5 <= 0 /\ 3-arg1+arg2P5 <= 0 /\ 1+arg2P5 > 0 /\ arg1P5 > 0), cost: 1 New rule: f502_0_main_InvokeMethod -> f571_0_sumList_NONNULL : arg1'=arg1P5, arg2'=arg2P5, (arg1 > 0 /\ -1+arg3 > 0 /\ 2-arg2+arg1P5 <= 0 /\ 3-arg2+arg2P5 <= 0 /\ 1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 Applied deletion Removed the following rules: 12 Chained accelerated rules with incoming rules Start location: __init 7: f1_0_main_Load -> f302_0_createList_GE : arg1'=arg1P0, arg3'=1, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0), cost: 1 8: f1_0_main_Load -> f502_0_main_InvokeMethod : arg1'=arg1P1, arg3'=arg3P1, arg2'=arg2P1, (arg1P1 > 0 /\ -2+arg2P1 > 0 /\ arg2 > 0 /\ -arg1+arg1P1 <= 0), cost: 1 9: f1_0_main_Load -> f502_0_main_InvokeMethod : arg1'=arg1P2, arg3'=arg3P2, arg2'=arg2P2, (arg1P2 > 0 /\ 1+arg1-arg2P2 >= 0 /\ -1+arg2P2 > 0 /\ arg2 > 0 /\ arg1-arg1P2 >= 0), cost: 1 17: f1_0_main_Load -> f302_0_createList_GE : arg1'=1+arg1P0-arg2, arg3'=arg2, (arg1 > 0 /\ 1+arg1P0 > 0 /\ arg2 > 0 /\ 3+arg1P0-arg2 > 0), cost: arg2 18: f1_0_main_Load -> f302_0_createList_GE : arg1'=-1, arg3'=2+arg1P0, (arg1 > 0 /\ -1-arg1P0+arg2 > 0 /\ 1+arg1P0 > 0), cost: 2+arg1P0 11: f502_0_main_InvokeMethod -> f571_0_sumList_NONNULL : arg1'=arg1P4, arg2'=arg2P4, (arg1 > 0 /\ arg1P4 > 0 /\ -1+arg3 > 0 /\ 1+arg2P4 > 0 /\ 1+arg2P4-arg2 <= 0 /\ arg1P4-arg2 <= 0), cost: 1 19: f502_0_main_InvokeMethod -> f571_0_sumList_NONNULL : arg1'=arg1P5, arg2'=arg2P5, (arg1 > 0 /\ -1+arg3 > 0 /\ 2-arg2+arg1P5 <= 0 /\ 3-arg2+arg2P5 <= 0 /\ 1+arg2P5 > 0 /\ arg1P5 > 0), cost: 2 6: __init -> f1_0_main_Load : arg1'=arg1P6, arg3'=arg3P6, arg2'=arg2P6, TRUE, cost: 1 Removed unreachable locations and irrelevant leafs Start location: __init Computing asymptotic complexity Proved the following lower bound Complexity: Unknown Cpx degree: ? Solved cost: 0 Rule cost: 0