WORST_CASE(INF,?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_New -> f155_0_main_ArrayAccess : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, [ x4_1>-1 && arg2>0 && arg2P_1<=arg1 && arg1>0 && arg1P_1>2 && arg2P_1>0 && arg2==arg3P_1 ], cost: 1 1: f1_0_main_New -> f155_0_main_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, [ -1+arg1P_2<=arg1 && arg2>0 && arg2P_2<=arg1 && arg1>0 && arg1P_2>1 && arg2P_2>0 && arg2==arg3P_2 ], cost: 1 4: f1_0_main_New -> f69_0__init__GT : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, [ arg1P_5>-1 && arg2>0 && arg1>0 ], cost: 1 2: f155_0_main_ArrayAccess -> f204_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, [ arg1>=arg1P_3 && arg3>1 && arg1P_3<=arg2 && arg1>=arg2P_3 && arg1>=-1+arg3P_3 && -1+arg3P_3<=arg2 && arg1>0 && arg2>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1>=2+arg5P_3 && arg3==arg4P_3 ], cost: 1 3: f155_0_main_ArrayAccess -> f204_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, [ x23_1>-1 && arg3>1 && arg1P_4<=arg1 && arg1P_4<=arg2 && arg2P_4<=arg1 && arg1>0 && arg2>0 && arg1P_4>0 && arg2P_4>0 && arg3P_4>2 && 2+arg5P_4<=arg1 && arg3==arg4P_4 ], cost: 1 5: f155_0_main_ArrayAccess -> f69_0__init__GT : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, [ arg1P_6>-1 && arg3>1 && arg1>0 && arg2>0 ], cost: 1 7: f204_0_main_InvokeMethod -> f292_0_isZero_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ arg1P_8<=arg2 && arg4>1 && arg2P_8<=arg3 && arg3P_8<=arg3 && 1+arg4P_8<=arg3 && arg1>0 && arg2>0 && arg3>0 && arg1P_8>0 && arg2P_8>0 && arg3P_8>0 && arg4P_8>-1 && 2+arg5<=arg2 ], cost: 1 6: f69_0__init__GT -> f69_0__init__GT : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg1>0 && -1+arg1 f292_0_isZero_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, [ arg1P_9<=arg1 && arg2P_9<=arg3 && -2+arg2P_9<=arg4 && arg3P_9<=arg3 && -2+arg3P_9<=arg4 && 2+arg4P_9<=arg3 && arg4P_9<=arg4 && arg1>0 && arg2>1 && arg3>2 && arg4>0 && arg1P_9>0 && arg2P_9>2 && arg3P_9>2 && arg4P_9>0 ], cost: 1 9: f292_0_isZero_NONNULL -> f292_0_isZero_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, [ 2+arg1P_10<=arg1 && 2+arg2P_10<=arg2 && arg3P_10<=arg3 && -2+arg3P_10<=arg4 && 2+arg4P_10<=arg3 && arg4P_10<=arg4 && arg1>2 && arg2>2 && arg3>2 && arg4>0 && arg1P_10>0 && arg2P_10>0 && arg3P_10>2 && arg4P_10>0 ], cost: 1 10: __init -> f1_0_main_New : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 10: __init -> f1_0_main_New : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_New -> f155_0_main_ArrayAccess : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg2, arg4'=arg4P_1, arg5'=arg5P_1, [ arg2>0 && arg2P_1<=arg1 && arg1>0 && arg1P_1>2 && arg2P_1>0 ], cost: 1 1: f1_0_main_New -> f155_0_main_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg2, arg4'=arg4P_2, arg5'=arg5P_2, [ -1+arg1P_2<=arg1 && arg2>0 && arg2P_2<=arg1 && arg1>0 && arg1P_2>1 && arg2P_2>0 ], cost: 1 4: f1_0_main_New -> f69_0__init__GT : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, [ arg1P_5>-1 && arg2>0 && arg1>0 ], cost: 1 2: f155_0_main_ArrayAccess -> f204_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg3, arg5'=arg5P_3, [ arg1>=arg1P_3 && arg3>1 && arg1P_3<=arg2 && arg1>=arg2P_3 && arg1>=-1+arg3P_3 && -1+arg3P_3<=arg2 && arg1>0 && arg2>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1>=2+arg5P_3 ], cost: 1 3: f155_0_main_ArrayAccess -> f204_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg3, arg5'=arg5P_4, [ arg3>1 && arg1P_4<=arg1 && arg1P_4<=arg2 && arg2P_4<=arg1 && arg1>0 && arg2>0 && arg1P_4>0 && arg2P_4>0 && arg3P_4>2 && 2+arg5P_4<=arg1 ], cost: 1 5: f155_0_main_ArrayAccess -> f69_0__init__GT : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, [ arg1P_6>-1 && arg3>1 && arg1>0 && arg2>0 ], cost: 1 7: f204_0_main_InvokeMethod -> f292_0_isZero_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ arg1P_8<=arg2 && arg4>1 && arg2P_8<=arg3 && arg3P_8<=arg3 && 1+arg4P_8<=arg3 && arg1>0 && arg2>0 && arg3>0 && arg1P_8>0 && arg2P_8>0 && arg3P_8>0 && arg4P_8>-1 && 2+arg5<=arg2 ], cost: 1 6: f69_0__init__GT -> f69_0__init__GT : arg1'=-1+arg1, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg1>0 ], cost: 1 8: f292_0_isZero_NONNULL -> f292_0_isZero_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, [ arg1P_9<=arg1 && arg2P_9<=arg3 && -2+arg2P_9<=arg4 && arg3P_9<=arg3 && -2+arg3P_9<=arg4 && 2+arg4P_9<=arg3 && arg4P_9<=arg4 && arg1>0 && arg2>1 && arg3>2 && arg4>0 && arg1P_9>0 && arg2P_9>2 && arg3P_9>2 && arg4P_9>0 ], cost: 1 9: f292_0_isZero_NONNULL -> f292_0_isZero_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, [ 2+arg1P_10<=arg1 && 2+arg2P_10<=arg2 && arg3P_10<=arg3 && -2+arg3P_10<=arg4 && 2+arg4P_10<=arg3 && arg4P_10<=arg4 && arg1>2 && arg2>2 && arg3>2 && arg4>0 && arg1P_10>0 && arg2P_10>0 && arg3P_10>2 && arg4P_10>0 ], cost: 1 10: __init -> f1_0_main_New : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 3. Accelerating the following rules: 6: f69_0__init__GT -> f69_0__init__GT : arg1'=-1+arg1, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg1>0 ], cost: 1 Accelerated rule 6 with metering function arg1, yielding the new rule 11. Removing the simple loops: 6. Accelerating simple loops of location 4. Accelerating the following rules: 8: f292_0_isZero_NONNULL -> f292_0_isZero_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, [ arg1P_9<=arg1 && arg2P_9<=arg3 && -2+arg2P_9<=arg4 && arg3P_9<=arg3 && -2+arg3P_9<=arg4 && 2+arg4P_9<=arg3 && arg4P_9<=arg4 && arg1>0 && arg2>1 && arg3>2 && arg4>0 && arg1P_9>0 && arg2P_9>2 && arg3P_9>2 && arg4P_9>0 ], cost: 1 9: f292_0_isZero_NONNULL -> f292_0_isZero_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, [ 2+arg1P_10<=arg1 && 2+arg2P_10<=arg2 && arg3P_10<=arg3 && -2+arg3P_10<=arg4 && 2+arg4P_10<=arg3 && arg4P_10<=arg4 && arg1>2 && arg2>2 && arg3>2 && arg4>0 && arg1P_10>0 && arg2P_10>0 && arg3P_10>2 && arg4P_10>0 ], cost: 1 During metering: Instantiating temporary variables by {arg3P_9==arg3,arg4P_9==1,arg2P_9==2+arg4} Accelerated rule 8 with NONTERM (after strengthening guard), yielding the new rule 12. Found no metering function for rule 9. Removing the simple loops:. Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_New -> f155_0_main_ArrayAccess : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg2, arg4'=arg4P_1, arg5'=arg5P_1, [ arg2>0 && arg2P_1<=arg1 && arg1>0 && arg1P_1>2 && arg2P_1>0 ], cost: 1 1: f1_0_main_New -> f155_0_main_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg2, arg4'=arg4P_2, arg5'=arg5P_2, [ -1+arg1P_2<=arg1 && arg2>0 && arg2P_2<=arg1 && arg1>0 && arg1P_2>1 && arg2P_2>0 ], cost: 1 4: f1_0_main_New -> f69_0__init__GT : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, [ arg1P_5>-1 && arg2>0 && arg1>0 ], cost: 1 2: f155_0_main_ArrayAccess -> f204_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg3, arg5'=arg5P_3, [ arg1>=arg1P_3 && arg3>1 && arg1P_3<=arg2 && arg1>=arg2P_3 && arg1>=-1+arg3P_3 && -1+arg3P_3<=arg2 && arg1>0 && arg2>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1>=2+arg5P_3 ], cost: 1 3: f155_0_main_ArrayAccess -> f204_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg3, arg5'=arg5P_4, [ arg3>1 && arg1P_4<=arg1 && arg1P_4<=arg2 && arg2P_4<=arg1 && arg1>0 && arg2>0 && arg1P_4>0 && arg2P_4>0 && arg3P_4>2 && 2+arg5P_4<=arg1 ], cost: 1 5: f155_0_main_ArrayAccess -> f69_0__init__GT : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, [ arg1P_6>-1 && arg3>1 && arg1>0 && arg2>0 ], cost: 1 7: f204_0_main_InvokeMethod -> f292_0_isZero_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ arg1P_8<=arg2 && arg4>1 && arg2P_8<=arg3 && arg3P_8<=arg3 && 1+arg4P_8<=arg3 && arg1>0 && arg2>0 && arg3>0 && arg1P_8>0 && arg2P_8>0 && arg3P_8>0 && arg4P_8>-1 && 2+arg5<=arg2 ], cost: 1 11: f69_0__init__GT -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg1>0 ], cost: arg1 8: f292_0_isZero_NONNULL -> f292_0_isZero_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, [ arg1P_9<=arg1 && arg2P_9<=arg3 && -2+arg2P_9<=arg4 && arg3P_9<=arg3 && -2+arg3P_9<=arg4 && 2+arg4P_9<=arg3 && arg4P_9<=arg4 && arg1>0 && arg2>1 && arg3>2 && arg4>0 && arg1P_9>0 && arg2P_9>2 && arg3P_9>2 && arg4P_9>0 ], cost: 1 9: f292_0_isZero_NONNULL -> f292_0_isZero_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, [ 2+arg1P_10<=arg1 && 2+arg2P_10<=arg2 && arg3P_10<=arg3 && -2+arg3P_10<=arg4 && 2+arg4P_10<=arg3 && arg4P_10<=arg4 && arg1>2 && arg2>2 && arg3>2 && arg4>0 && arg1P_10>0 && arg2P_10>0 && arg3P_10>2 && arg4P_10>0 ], cost: 1 12: f292_0_isZero_NONNULL -> [7] : [ arg1P_9<=arg1 && arg2P_9<=arg3 && -2+arg2P_9<=arg4 && arg3P_9<=arg3 && -2+arg3P_9<=arg4 && 2+arg4P_9<=arg3 && arg4P_9<=arg4 && arg1>0 && arg2>1 && arg3>2 && arg4>0 && arg1P_9>0 && arg2P_9>2 && arg3P_9>2 && arg4P_9>0 && arg2P_9<=arg3P_9 && 2+arg4P_9<=arg3P_9 && -2+arg2P_9<=arg4P_9 && -2+arg3P_9<=arg4P_9 ], cost: NONTERM 10: __init -> f1_0_main_New : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_New -> f155_0_main_ArrayAccess : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg2, arg4'=arg4P_1, arg5'=arg5P_1, [ arg2>0 && arg2P_1<=arg1 && arg1>0 && arg1P_1>2 && arg2P_1>0 ], cost: 1 1: f1_0_main_New -> f155_0_main_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg2, arg4'=arg4P_2, arg5'=arg5P_2, [ -1+arg1P_2<=arg1 && arg2>0 && arg2P_2<=arg1 && arg1>0 && arg1P_2>1 && arg2P_2>0 ], cost: 1 4: f1_0_main_New -> f69_0__init__GT : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, [ arg1P_5>-1 && arg2>0 && arg1>0 ], cost: 1 13: f1_0_main_New -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg2>0 && arg1>0 && arg1P_5>0 ], cost: 1+arg1P_5 2: f155_0_main_ArrayAccess -> f204_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg3, arg5'=arg5P_3, [ arg1>=arg1P_3 && arg3>1 && arg1P_3<=arg2 && arg1>=arg2P_3 && arg1>=-1+arg3P_3 && -1+arg3P_3<=arg2 && arg1>0 && arg2>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1>=2+arg5P_3 ], cost: 1 3: f155_0_main_ArrayAccess -> f204_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg3, arg5'=arg5P_4, [ arg3>1 && arg1P_4<=arg1 && arg1P_4<=arg2 && arg2P_4<=arg1 && arg1>0 && arg2>0 && arg1P_4>0 && arg2P_4>0 && arg3P_4>2 && 2+arg5P_4<=arg1 ], cost: 1 5: f155_0_main_ArrayAccess -> f69_0__init__GT : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, [ arg1P_6>-1 && arg3>1 && arg1>0 && arg2>0 ], cost: 1 14: f155_0_main_ArrayAccess -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg3>1 && arg1>0 && arg2>0 && arg1P_6>0 ], cost: 1+arg1P_6 7: f204_0_main_InvokeMethod -> f292_0_isZero_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ arg1P_8<=arg2 && arg4>1 && arg2P_8<=arg3 && arg3P_8<=arg3 && 1+arg4P_8<=arg3 && arg1>0 && arg2>0 && arg3>0 && arg1P_8>0 && arg2P_8>0 && arg3P_8>0 && arg4P_8>-1 && 2+arg5<=arg2 ], cost: 1 15: f204_0_main_InvokeMethod -> f292_0_isZero_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, [ arg4>1 && arg1>0 && arg2>0 && 2+arg5<=arg2 && arg1P_9>0 && arg2P_9>2 && arg3P_9>2 && arg4P_9>0 && arg2P_9<=arg3 && arg3P_9<=arg3 && 2+arg4P_9<=arg3 && 3<=arg3 && arg1P_9<=arg2 ], cost: 2 16: f204_0_main_InvokeMethod -> f292_0_isZero_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, [ arg4>1 && arg1>0 && 2+arg5<=arg2 && arg1P_10>0 && arg2P_10>0 && arg3P_10>2 && arg4P_10>0 && 2+arg2P_10<=arg3 && 3<=arg3 && arg3P_10<=arg3 && 2+arg4P_10<=arg3 && 2+arg1P_10<=arg2 && 3<=arg2 ], cost: 2 17: f204_0_main_InvokeMethod -> [7] : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ arg1P_8<=arg2 && arg4>1 && arg2P_8<=arg3 && arg3P_8<=arg3 && 1+arg4P_8<=arg3 && arg1>0 && arg2>0 && arg3>0 && arg1P_8>0 && 2+arg5<=arg2 && arg2P_8>1 && arg3P_8>2 && arg4P_8>0 ], cost: NONTERM 10: __init -> f1_0_main_New : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 0: f1_0_main_New -> f155_0_main_ArrayAccess : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg2, arg4'=arg4P_1, arg5'=arg5P_1, [ arg2>0 && arg2P_1<=arg1 && arg1>0 && arg1P_1>2 && arg2P_1>0 ], cost: 1 1: f1_0_main_New -> f155_0_main_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg2, arg4'=arg4P_2, arg5'=arg5P_2, [ -1+arg1P_2<=arg1 && arg2>0 && arg2P_2<=arg1 && arg1>0 && arg1P_2>1 && arg2P_2>0 ], cost: 1 13: f1_0_main_New -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg2>0 && arg1>0 && arg1P_5>0 ], cost: 1+arg1P_5 2: f155_0_main_ArrayAccess -> f204_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg3, arg5'=arg5P_3, [ arg1>=arg1P_3 && arg3>1 && arg1P_3<=arg2 && arg1>=arg2P_3 && arg1>=-1+arg3P_3 && -1+arg3P_3<=arg2 && arg1>0 && arg2>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1>=2+arg5P_3 ], cost: 1 3: f155_0_main_ArrayAccess -> f204_0_main_InvokeMethod : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg3, arg5'=arg5P_4, [ arg3>1 && arg1P_4<=arg1 && arg1P_4<=arg2 && arg2P_4<=arg1 && arg1>0 && arg2>0 && arg1P_4>0 && arg2P_4>0 && arg3P_4>2 && 2+arg5P_4<=arg1 ], cost: 1 14: f155_0_main_ArrayAccess -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg3>1 && arg1>0 && arg2>0 && arg1P_6>0 ], cost: 1+arg1P_6 17: f204_0_main_InvokeMethod -> [7] : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ arg1P_8<=arg2 && arg4>1 && arg2P_8<=arg3 && arg3P_8<=arg3 && 1+arg4P_8<=arg3 && arg1>0 && arg2>0 && arg3>0 && arg1P_8>0 && 2+arg5<=arg2 && arg2P_8>1 && arg3P_8>2 && arg4P_8>0 ], cost: NONTERM 10: __init -> f1_0_main_New : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 14: f155_0_main_ArrayAccess -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg3>1 && arg1>0 && arg2>0 && arg1P_6>0 ], cost: 1+arg1P_6 21: f155_0_main_ArrayAccess -> [7] : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ arg1>=arg1P_3 && arg3>1 && arg1P_3<=arg2 && arg1>=arg2P_3 && arg1>=-1+arg3P_3 && -1+arg3P_3<=arg2 && arg1>0 && arg2>0 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1>=2+arg5P_3 && arg1P_8<=arg2P_3 && arg2P_8<=arg3P_3 && arg3P_8<=arg3P_3 && 1+arg4P_8<=arg3P_3 && arg1P_8>0 && 2+arg5P_3<=arg2P_3 && arg2P_8>1 && arg3P_8>2 && arg4P_8>0 ], cost: NONTERM 22: f155_0_main_ArrayAccess -> [7] : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ arg3>1 && arg1P_4<=arg1 && arg1P_4<=arg2 && arg2P_4<=arg1 && arg1>0 && arg2>0 && arg1P_4>0 && arg2P_4>0 && arg3P_4>2 && 2+arg5P_4<=arg1 && arg1P_8<=arg2P_4 && arg2P_8<=arg3P_4 && arg3P_8<=arg3P_4 && 1+arg4P_8<=arg3P_4 && arg1P_8>0 && 2+arg5P_4<=arg2P_4 && arg2P_8>1 && arg3P_8>2 && arg4P_8>0 ], cost: NONTERM 18: __init -> f155_0_main_ArrayAccess : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg2P_11, arg4'=arg4P_1, arg5'=arg5P_1, [ arg2P_11>0 && arg2P_1<=arg1P_11 && arg1P_11>0 && arg1P_1>2 && arg2P_1>0 ], cost: 2 19: __init -> f155_0_main_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg2P_11, arg4'=arg4P_2, arg5'=arg5P_2, [ -1+arg1P_2<=arg1P_11 && arg2P_11>0 && arg2P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>1 && arg2P_2>0 ], cost: 2 20: __init -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg2P_11>0 && arg1P_11>0 && arg1P_5>0 ], cost: 2+arg1P_5 Eliminated locations (on tree-shaped paths): Start location: __init 20: __init -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg2P_11>0 && arg1P_11>0 && arg1P_5>0 ], cost: 2+arg1P_5 23: __init -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg2P_1<=arg1P_11 && arg1P_11>0 && arg1P_1>2 && arg2P_1>0 && arg2P_11>1 && arg1P_6>0 ], cost: 3+arg1P_6 24: __init -> [7] : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_1<=arg1P_11 && arg1P_11>0 && arg1P_1>2 && arg2P_1>0 && arg1P_1>=arg1P_3 && arg2P_11>1 && arg1P_3<=arg2P_1 && arg1P_1>=arg2P_3 && arg1P_1>=-1+arg3P_3 && -1+arg3P_3<=arg2P_1 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_1>=2+arg5P_3 && arg1P_8<=arg2P_3 && arg2P_8<=arg3P_3 && arg3P_8<=arg3P_3 && 1+arg4P_8<=arg3P_3 && arg1P_8>0 && 2+arg5P_3<=arg2P_3 && arg2P_8>1 && arg3P_8>2 && arg4P_8>0 ], cost: NONTERM 25: __init -> [7] : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_1<=arg1P_11 && arg1P_11>0 && arg1P_1>2 && arg2P_1>0 && arg2P_11>1 && arg1P_4<=arg1P_1 && arg1P_4<=arg2P_1 && arg2P_4<=arg1P_1 && arg1P_4>0 && arg2P_4>0 && arg3P_4>2 && 2+arg5P_4<=arg1P_1 && arg1P_8<=arg2P_4 && arg2P_8<=arg3P_4 && arg3P_8<=arg3P_4 && 1+arg4P_8<=arg3P_4 && arg1P_8>0 && 2+arg5P_4<=arg2P_4 && arg2P_8>1 && arg3P_8>2 && arg4P_8>0 ], cost: NONTERM 26: __init -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ -1+arg1P_2<=arg1P_11 && arg2P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>1 && arg2P_2>0 && arg2P_11>1 && arg1P_6>0 ], cost: 3+arg1P_6 27: __init -> [7] : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ -1+arg1P_2<=arg1P_11 && arg2P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>1 && arg2P_2>0 && arg1P_2>=arg1P_3 && arg2P_11>1 && arg1P_3<=arg2P_2 && arg1P_2>=arg2P_3 && arg1P_2>=-1+arg3P_3 && -1+arg3P_3<=arg2P_2 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_2>=2+arg5P_3 && arg1P_8<=arg2P_3 && arg2P_8<=arg3P_3 && arg3P_8<=arg3P_3 && 1+arg4P_8<=arg3P_3 && arg1P_8>0 && 2+arg5P_3<=arg2P_3 && arg2P_8>1 && arg3P_8>2 && arg4P_8>0 ], cost: NONTERM 28: __init -> [7] : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ -1+arg1P_2<=arg1P_11 && arg2P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>1 && arg2P_2>0 && arg2P_11>1 && arg1P_4<=arg1P_2 && arg1P_4<=arg2P_2 && arg2P_4<=arg1P_2 && arg1P_4>0 && arg2P_4>0 && arg3P_4>2 && 2+arg5P_4<=arg1P_2 && arg1P_8<=arg2P_4 && arg2P_8<=arg3P_4 && arg3P_8<=arg3P_4 && 1+arg4P_8<=arg3P_4 && arg1P_8>0 && 2+arg5P_4<=arg2P_4 && arg2P_8>1 && arg3P_8>2 && arg4P_8>0 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 20: __init -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg2P_11>0 && arg1P_11>0 && arg1P_5>0 ], cost: 2+arg1P_5 23: __init -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg2P_1<=arg1P_11 && arg1P_11>0 && arg1P_1>2 && arg2P_1>0 && arg2P_11>1 && arg1P_6>0 ], cost: 3+arg1P_6 24: __init -> [7] : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_1<=arg1P_11 && arg1P_11>0 && arg1P_1>2 && arg2P_1>0 && arg1P_1>=arg1P_3 && arg2P_11>1 && arg1P_3<=arg2P_1 && arg1P_1>=arg2P_3 && arg1P_1>=-1+arg3P_3 && -1+arg3P_3<=arg2P_1 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_1>=2+arg5P_3 && arg1P_8<=arg2P_3 && arg2P_8<=arg3P_3 && arg3P_8<=arg3P_3 && 1+arg4P_8<=arg3P_3 && arg1P_8>0 && 2+arg5P_3<=arg2P_3 && arg2P_8>1 && arg3P_8>2 && arg4P_8>0 ], cost: NONTERM 25: __init -> [7] : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_1<=arg1P_11 && arg1P_11>0 && arg1P_1>2 && arg2P_1>0 && arg2P_11>1 && arg1P_4<=arg1P_1 && arg1P_4<=arg2P_1 && arg2P_4<=arg1P_1 && arg1P_4>0 && arg2P_4>0 && arg3P_4>2 && 2+arg5P_4<=arg1P_1 && arg1P_8<=arg2P_4 && arg2P_8<=arg3P_4 && arg3P_8<=arg3P_4 && 1+arg4P_8<=arg3P_4 && arg1P_8>0 && 2+arg5P_4<=arg2P_4 && arg2P_8>1 && arg3P_8>2 && arg4P_8>0 ], cost: NONTERM 26: __init -> f69_0__init__GT : arg1'=0, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ -1+arg1P_2<=arg1P_11 && arg2P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>1 && arg2P_2>0 && arg2P_11>1 && arg1P_6>0 ], cost: 3+arg1P_6 27: __init -> [7] : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ -1+arg1P_2<=arg1P_11 && arg2P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>1 && arg2P_2>0 && arg1P_2>=arg1P_3 && arg2P_11>1 && arg1P_3<=arg2P_2 && arg1P_2>=arg2P_3 && arg1P_2>=-1+arg3P_3 && -1+arg3P_3<=arg2P_2 && arg1P_3>0 && arg2P_3>0 && arg3P_3>1 && arg1P_2>=2+arg5P_3 && arg1P_8<=arg2P_3 && arg2P_8<=arg3P_3 && arg3P_8<=arg3P_3 && 1+arg4P_8<=arg3P_3 && arg1P_8>0 && 2+arg5P_3<=arg2P_3 && arg2P_8>1 && arg3P_8>2 && arg4P_8>0 ], cost: NONTERM 28: __init -> [7] : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ -1+arg1P_2<=arg1P_11 && arg2P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>1 && arg2P_2>0 && arg2P_11>1 && arg1P_4<=arg1P_2 && arg1P_4<=arg2P_2 && arg2P_4<=arg1P_2 && arg1P_4>0 && arg2P_4>0 && arg3P_4>2 && 2+arg5P_4<=arg1P_2 && arg1P_8<=arg2P_4 && arg2P_8<=arg3P_4 && arg3P_8<=arg3P_4 && 1+arg4P_8<=arg3P_4 && arg1P_8>0 && 2+arg5P_4<=arg2P_4 && arg2P_8>1 && arg3P_8>2 && arg4P_8>0 ], cost: NONTERM Computing asymptotic complexity for rule 20 Solved the limit problem by the following transformations: Created initial limit problem: arg1P_5 (+/+!), 2+arg1P_5 (+), arg1P_11 (+/+!), arg2P_11 (+/+!) [not solved] removing all constraints (solved by SMT) resulting limit problem: [solved] applying transformation rule (C) using substitution {arg1P_5==n,arg1P_11==n,arg2P_11==n} resulting limit problem: [solved] Solution: arg1P_5 / n arg1P_11 / n arg2P_11 / n Resulting cost 2+n has complexity: Unbounded Found new complexity Unbounded. Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Unbounded Cpx degree: Unbounded Solved cost: 2+n Rule cost: 2+arg1P_5 Rule guard: [ arg2P_11>0 && arg1P_11>0 && arg1P_5>0 ] WORST_CASE(INF,?)