NO ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_New -> f230_0_alternate_NONNULL : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_1>3 && arg2P_1>3 && arg4P_1>3 && arg3P_1>3 ], cost: 1 2: f1_0_main_New -> f1096_0_append_NONNULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3>3 && arg3P_3>-1 && arg2P_3>4 ], cost: 1 4: f1_0_main_New -> f565_0_iter_NULL : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg2P_5>1 && arg1P_5>3 ], cost: 1 6: f1_0_main_New -> f717_0_reverseAcc_NONNULL : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg2P_7>1 && arg1P_7>3 ], cost: 1 8: f1_0_main_New -> f845_0_reverse_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg2P_9>1 && arg1P_9>3 ], cost: 1 1: f230_0_alternate_NONNULL -> f230_0_alternate_NONNULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ 1+arg1P_2<=arg2 && arg2P_2<=arg1 && arg2P_2<=arg3 && arg2P_2<=arg4 && arg2>=1+arg3P_2 && arg2>=1+arg4P_2 && arg1>0 && arg2>0 && arg3>0 && arg4>0 && arg1P_2>-1 && arg2P_2>0 && arg3P_2>-1 && arg4P_2>-1 ], cost: 1 3: f1096_0_append_NONNULL -> f1096_0_append_NONNULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg2P_4<=arg2 && arg1>2 && arg2>0 && arg3>0 && arg1P_4>0 && arg2P_4>0 && arg3P_4>-1 ], cost: 1 5: f565_0_iter_NULL -> f565_0_iter_NULL : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ 2+arg1P_6<=arg1 && arg1P_6<=arg2 && 3+arg2P_6<=arg1 && 1+arg2P_6<=arg2 && arg1>2 && arg2>0 && arg1P_6>0 && arg2P_6>-1 ], cost: 1 7: f717_0_reverseAcc_NONNULL -> f717_0_reverseAcc_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 2+arg1P_8<=arg1 && arg1P_8<=arg2 && 3+arg2P_8<=arg1 && 1+arg2P_8<=arg2 && arg1>2 && arg2>0 && arg1P_8>0 && arg2P_8>-1 ], cost: 1 9: f845_0_reverse_NONNULL -> f845_0_reverse_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ 2+arg1P_10<=arg1 && arg1P_10<=arg2 && 3+arg2P_10<=arg1 && 1+arg2P_10<=arg2 && arg1>2 && arg2>0 && arg1P_10>0 && arg2P_10>-1 ], cost: 1 10: f845_0_reverse_NONNULL -> f1096_0_append_NONNULL : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ 1+arg1P_11<=arg1 && -1+arg1P_11<=arg2 && 1+arg2P_11<=arg1 && -1+arg2P_11<=arg2 && arg1>2 && arg2>0 && arg1P_11>1 && arg2P_11>1 && arg3P_11>-1 ], cost: 1 11: f845_0_reverse_NONNULL -> f1225_0_reverse_InvokeMethod : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, [ arg1>2 && arg2>0 && arg1P_12>4 ], cost: 1 12: f845_0_reverse_NONNULL -> f1225_0_reverse_InvokeMethod : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg1>2 && arg2>0 && arg1P_13>2 ], cost: 1 14: f1225_0_reverse_InvokeMethod -> f1096_0_append_NONNULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ arg1P_15<=arg1 && 1+arg2P_15<=arg1 && arg1>2 && arg1P_15>2 && arg2P_15>1 && arg3P_15>-1 ], cost: 1 13: f991_0_reverse_Return -> f1225_0_reverse_InvokeMethod : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, [ arg1P_14<=arg1 && arg1>2 && arg1P_14>2 && 4+arg2<=arg1 ], cost: 1 15: __init -> f1_0_main_New : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 15: __init -> f1_0_main_New : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, [], cost: 1 Removed unreachable and leaf rules: Start location: __init 0: f1_0_main_New -> f230_0_alternate_NONNULL : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_1>3 && arg2P_1>3 && arg4P_1>3 && arg3P_1>3 ], cost: 1 2: f1_0_main_New -> f1096_0_append_NONNULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3>3 && arg3P_3>-1 && arg2P_3>4 ], cost: 1 4: f1_0_main_New -> f565_0_iter_NULL : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg2P_5>1 && arg1P_5>3 ], cost: 1 6: f1_0_main_New -> f717_0_reverseAcc_NONNULL : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg2P_7>1 && arg1P_7>3 ], cost: 1 8: f1_0_main_New -> f845_0_reverse_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg2P_9>1 && arg1P_9>3 ], cost: 1 1: f230_0_alternate_NONNULL -> f230_0_alternate_NONNULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ 1+arg1P_2<=arg2 && arg2P_2<=arg1 && arg2P_2<=arg3 && arg2P_2<=arg4 && arg2>=1+arg3P_2 && arg2>=1+arg4P_2 && arg1>0 && arg2>0 && arg3>0 && arg4>0 && arg1P_2>-1 && arg2P_2>0 && arg3P_2>-1 && arg4P_2>-1 ], cost: 1 3: f1096_0_append_NONNULL -> f1096_0_append_NONNULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg2P_4<=arg2 && arg1>2 && arg2>0 && arg3>0 && arg1P_4>0 && arg2P_4>0 && arg3P_4>-1 ], cost: 1 5: f565_0_iter_NULL -> f565_0_iter_NULL : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ 2+arg1P_6<=arg1 && arg1P_6<=arg2 && 3+arg2P_6<=arg1 && 1+arg2P_6<=arg2 && arg1>2 && arg2>0 && arg1P_6>0 && arg2P_6>-1 ], cost: 1 7: f717_0_reverseAcc_NONNULL -> f717_0_reverseAcc_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 2+arg1P_8<=arg1 && arg1P_8<=arg2 && 3+arg2P_8<=arg1 && 1+arg2P_8<=arg2 && arg1>2 && arg2>0 && arg1P_8>0 && arg2P_8>-1 ], cost: 1 9: f845_0_reverse_NONNULL -> f845_0_reverse_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ 2+arg1P_10<=arg1 && arg1P_10<=arg2 && 3+arg2P_10<=arg1 && 1+arg2P_10<=arg2 && arg1>2 && arg2>0 && arg1P_10>0 && arg2P_10>-1 ], cost: 1 10: f845_0_reverse_NONNULL -> f1096_0_append_NONNULL : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ 1+arg1P_11<=arg1 && -1+arg1P_11<=arg2 && 1+arg2P_11<=arg1 && -1+arg2P_11<=arg2 && arg1>2 && arg2>0 && arg1P_11>1 && arg2P_11>1 && arg3P_11>-1 ], cost: 1 11: f845_0_reverse_NONNULL -> f1225_0_reverse_InvokeMethod : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, [ arg1>2 && arg2>0 && arg1P_12>4 ], cost: 1 12: f845_0_reverse_NONNULL -> f1225_0_reverse_InvokeMethod : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg1>2 && arg2>0 && arg1P_13>2 ], cost: 1 14: f1225_0_reverse_InvokeMethod -> f1096_0_append_NONNULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ arg1P_15<=arg1 && 1+arg2P_15<=arg1 && arg1>2 && arg1P_15>2 && arg2P_15>1 && arg3P_15>-1 ], cost: 1 15: __init -> f1_0_main_New : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 1. Accelerating the following rules: 1: f230_0_alternate_NONNULL -> f230_0_alternate_NONNULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ 1+arg1P_2<=arg2 && arg2P_2<=arg1 && arg2P_2<=arg3 && arg2P_2<=arg4 && arg2>=1+arg3P_2 && arg2>=1+arg4P_2 && arg1>0 && arg2>0 && arg3>0 && arg4>0 && arg1P_2>-1 && arg2P_2>0 && arg3P_2>-1 && arg4P_2>-1 ], cost: 1 Failed to prove monotonicity of the guard of rule 1. [accelerate] Nesting with 1 inner and 1 outer candidates Accelerating simple loops of location 2. Accelerating the following rules: 3: f1096_0_append_NONNULL -> f1096_0_append_NONNULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg2P_4<=arg2 && arg1>2 && arg2>0 && arg3>0 && arg1P_4>0 && arg2P_4>0 && arg3P_4>-1 ], cost: 1 [test] deduced invariant 1-arg1<=0 [test] deduced pseudo-invariant -arg3P_4+arg3<=0, also trying arg3P_4-arg3<=-1 Accelerated rule 3 with non-termination, yielding the new rule 16. Accelerated rule 3 with non-termination, yielding the new rule 17. [accelerate] Nesting with 0 inner and 1 outer candidates Accelerating simple loops of location 3. Accelerating the following rules: 5: f565_0_iter_NULL -> f565_0_iter_NULL : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ 2+arg1P_6<=arg1 && arg1P_6<=arg2 && 3+arg2P_6<=arg1 && 1+arg2P_6<=arg2 && arg1>2 && arg2>0 && arg1P_6>0 && arg2P_6>-1 ], cost: 1 Failed to prove monotonicity of the guard of rule 5. [accelerate] Nesting with 1 inner and 1 outer candidates Accelerating simple loops of location 4. Accelerating the following rules: 7: f717_0_reverseAcc_NONNULL -> f717_0_reverseAcc_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 2+arg1P_8<=arg1 && arg1P_8<=arg2 && 3+arg2P_8<=arg1 && 1+arg2P_8<=arg2 && arg1>2 && arg2>0 && arg1P_8>0 && arg2P_8>-1 ], cost: 1 Failed to prove monotonicity of the guard of rule 7. [accelerate] Nesting with 1 inner and 1 outer candidates Accelerating simple loops of location 5. Accelerating the following rules: 9: f845_0_reverse_NONNULL -> f845_0_reverse_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ 2+arg1P_10<=arg1 && arg1P_10<=arg2 && 3+arg2P_10<=arg1 && 1+arg2P_10<=arg2 && arg1>2 && arg2>0 && arg1P_10>0 && arg2P_10>-1 ], cost: 1 Failed to prove monotonicity of the guard of rule 9. [accelerate] Nesting with 1 inner and 1 outer candidates Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_New -> f230_0_alternate_NONNULL : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_1>3 && arg2P_1>3 && arg4P_1>3 && arg3P_1>3 ], cost: 1 2: f1_0_main_New -> f1096_0_append_NONNULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3>3 && arg3P_3>-1 && arg2P_3>4 ], cost: 1 4: f1_0_main_New -> f565_0_iter_NULL : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg2P_5>1 && arg1P_5>3 ], cost: 1 6: f1_0_main_New -> f717_0_reverseAcc_NONNULL : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg2P_7>1 && arg1P_7>3 ], cost: 1 8: f1_0_main_New -> f845_0_reverse_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg2P_9>1 && arg1P_9>3 ], cost: 1 1: f230_0_alternate_NONNULL -> f230_0_alternate_NONNULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ 1+arg1P_2<=arg2 && arg2P_2<=arg1 && arg2P_2<=arg3 && arg2P_2<=arg4 && arg2>=1+arg3P_2 && arg2>=1+arg4P_2 && arg1>0 && arg2>0 && arg3>0 && arg4>0 && arg1P_2>-1 && arg2P_2>0 && arg3P_2>-1 && arg4P_2>-1 ], cost: 1 3: f1096_0_append_NONNULL -> f1096_0_append_NONNULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg2P_4<=arg2 && arg1>2 && arg2>0 && arg3>0 && arg1P_4>0 && arg2P_4>0 && arg3P_4>-1 ], cost: 1 16: f1096_0_append_NONNULL -> [10] : [ arg2P_4<=arg2 && arg1>2 && arg2>0 && arg3>0 && arg2P_4>0 && arg1P_4>2 && arg3P_4>0 ], cost: NONTERM 17: f1096_0_append_NONNULL -> [10] : [ arg2P_4<=arg2 && arg1>2 && arg2>0 && arg3>0 && arg2P_4>0 && -arg3P_4+arg3<=0 && arg1P_4>2 && arg3P_4>0 ], cost: NONTERM 5: f565_0_iter_NULL -> f565_0_iter_NULL : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ 2+arg1P_6<=arg1 && arg1P_6<=arg2 && 3+arg2P_6<=arg1 && 1+arg2P_6<=arg2 && arg1>2 && arg2>0 && arg1P_6>0 && arg2P_6>-1 ], cost: 1 7: f717_0_reverseAcc_NONNULL -> f717_0_reverseAcc_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ 2+arg1P_8<=arg1 && arg1P_8<=arg2 && 3+arg2P_8<=arg1 && 1+arg2P_8<=arg2 && arg1>2 && arg2>0 && arg1P_8>0 && arg2P_8>-1 ], cost: 1 9: f845_0_reverse_NONNULL -> f845_0_reverse_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ 2+arg1P_10<=arg1 && arg1P_10<=arg2 && 3+arg2P_10<=arg1 && 1+arg2P_10<=arg2 && arg1>2 && arg2>0 && arg1P_10>0 && arg2P_10>-1 ], cost: 1 10: f845_0_reverse_NONNULL -> f1096_0_append_NONNULL : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ 1+arg1P_11<=arg1 && -1+arg1P_11<=arg2 && 1+arg2P_11<=arg1 && -1+arg2P_11<=arg2 && arg1>2 && arg2>0 && arg1P_11>1 && arg2P_11>1 && arg3P_11>-1 ], cost: 1 11: f845_0_reverse_NONNULL -> f1225_0_reverse_InvokeMethod : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, [ arg1>2 && arg2>0 && arg1P_12>4 ], cost: 1 12: f845_0_reverse_NONNULL -> f1225_0_reverse_InvokeMethod : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg1>2 && arg2>0 && arg1P_13>2 ], cost: 1 14: f1225_0_reverse_InvokeMethod -> f1096_0_append_NONNULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ arg1P_15<=arg1 && 1+arg2P_15<=arg1 && arg1>2 && arg1P_15>2 && arg2P_15>1 && arg3P_15>-1 ], cost: 1 15: __init -> f1_0_main_New : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_New -> f230_0_alternate_NONNULL : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, [ arg1P_1>3 && arg2P_1>3 && arg4P_1>3 && arg3P_1>3 ], cost: 1 2: f1_0_main_New -> f1096_0_append_NONNULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3>3 && arg3P_3>-1 && arg2P_3>4 ], cost: 1 4: f1_0_main_New -> f565_0_iter_NULL : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, [ arg2P_5>1 && arg1P_5>3 ], cost: 1 6: f1_0_main_New -> f717_0_reverseAcc_NONNULL : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, [ arg2P_7>1 && arg1P_7>3 ], cost: 1 8: f1_0_main_New -> f845_0_reverse_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg2P_9>1 && arg1P_9>3 ], cost: 1 18: f1_0_main_New -> f230_0_alternate_NONNULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, [ arg1P_2>-1 && arg2P_2>0 && arg3P_2>-1 && arg4P_2>-1 ], cost: 2 19: f1_0_main_New -> f1096_0_append_NONNULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_4>0 && arg2P_4>0 && arg3P_4>-1 ], cost: 2 22: f1_0_main_New -> [10] : [], cost: NONTERM 25: f1_0_main_New -> [10] : [], cost: NONTERM 28: f1_0_main_New -> f565_0_iter_NULL : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, [ arg1P_6>0 && arg2P_6>-1 ], cost: 2 29: f1_0_main_New -> f717_0_reverseAcc_NONNULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, [ arg1P_8>0 && arg2P_8>-1 ], cost: 2 30: f1_0_main_New -> f845_0_reverse_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg1P_10>0 && arg2P_10>-1 ], cost: 2 10: f845_0_reverse_NONNULL -> f1096_0_append_NONNULL : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ 1+arg1P_11<=arg1 && -1+arg1P_11<=arg2 && 1+arg2P_11<=arg1 && -1+arg2P_11<=arg2 && arg1>2 && arg2>0 && arg1P_11>1 && arg2P_11>1 && arg3P_11>-1 ], cost: 1 11: f845_0_reverse_NONNULL -> f1225_0_reverse_InvokeMethod : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, [ arg1>2 && arg2>0 && arg1P_12>4 ], cost: 1 12: f845_0_reverse_NONNULL -> f1225_0_reverse_InvokeMethod : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg1>2 && arg2>0 && arg1P_13>2 ], cost: 1 20: f845_0_reverse_NONNULL -> f1096_0_append_NONNULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1P_4>0 && arg2P_4>0 && arg3P_4>-1 && 3<=-1+arg1 && 3<=1+arg2 && arg2P_4<=-1+arg1 && arg2P_4<=1+arg2 ], cost: 2 23: f845_0_reverse_NONNULL -> [10] : [ 3<=-1+arg1 && 3<=1+arg2 ], cost: NONTERM 26: f845_0_reverse_NONNULL -> [10] : [ 3<=-1+arg1 && 3<=1+arg2 ], cost: NONTERM 14: f1225_0_reverse_InvokeMethod -> f1096_0_append_NONNULL : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ arg1P_15<=arg1 && 1+arg2P_15<=arg1 && arg1>2 && arg1P_15>2 && arg2P_15>1 && arg3P_15>-1 ], cost: 1 21: f1225_0_reverse_InvokeMethod -> f1096_0_append_NONNULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, [ arg1>2 && arg1P_4>0 && arg2P_4>0 && arg3P_4>-1 && arg2P_4<=-1+arg1 ], cost: 2 24: f1225_0_reverse_InvokeMethod -> [10] : [ arg1>2 ], cost: NONTERM 27: f1225_0_reverse_InvokeMethod -> [10] : [ arg1>2 ], cost: NONTERM 15: __init -> f1_0_main_New : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 8: f1_0_main_New -> f845_0_reverse_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg2P_9>1 && arg1P_9>3 ], cost: 1 22: f1_0_main_New -> [10] : [], cost: NONTERM 25: f1_0_main_New -> [10] : [], cost: NONTERM 30: f1_0_main_New -> f845_0_reverse_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg1P_10>0 && arg2P_10>-1 ], cost: 2 11: f845_0_reverse_NONNULL -> f1225_0_reverse_InvokeMethod : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, [ arg1>2 && arg2>0 && arg1P_12>4 ], cost: 1 12: f845_0_reverse_NONNULL -> f1225_0_reverse_InvokeMethod : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, [ arg1>2 && arg2>0 && arg1P_13>2 ], cost: 1 23: f845_0_reverse_NONNULL -> [10] : [ 3<=-1+arg1 && 3<=1+arg2 ], cost: NONTERM 26: f845_0_reverse_NONNULL -> [10] : [ 3<=-1+arg1 && 3<=1+arg2 ], cost: NONTERM 24: f1225_0_reverse_InvokeMethod -> [10] : [ arg1>2 ], cost: NONTERM 27: f1225_0_reverse_InvokeMethod -> [10] : [ arg1>2 ], cost: NONTERM 15: __init -> f1_0_main_New : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 23: f845_0_reverse_NONNULL -> [10] : [ 3<=-1+arg1 && 3<=1+arg2 ], cost: NONTERM 26: f845_0_reverse_NONNULL -> [10] : [ 3<=-1+arg1 && 3<=1+arg2 ], cost: NONTERM 35: f845_0_reverse_NONNULL -> [10] : [ arg1>2 && arg2>0 && arg1P_12>4 ], cost: NONTERM 36: f845_0_reverse_NONNULL -> [10] : [ arg1>2 && arg2>0 && arg1P_12>4 ], cost: NONTERM 37: f845_0_reverse_NONNULL -> [10] : [ arg1>2 && arg2>0 && arg1P_13>2 ], cost: NONTERM 38: f845_0_reverse_NONNULL -> [10] : [ arg1>2 && arg2>0 && arg1P_13>2 ], cost: NONTERM 31: __init -> f845_0_reverse_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg2P_9>1 && arg1P_9>3 ], cost: 2 32: __init -> [10] : [], cost: NONTERM 33: __init -> [10] : [], cost: NONTERM 34: __init -> f845_0_reverse_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg1P_10>0 && arg2P_10>-1 ], cost: 3 Merged rules: Start location: __init 39: f845_0_reverse_NONNULL -> [10] : [ 3<=-1+arg1 && 3<=1+arg2 ], cost: NONTERM 40: f845_0_reverse_NONNULL -> [10] : [ arg1>2 && arg2>0 && arg1P_12>4 ], cost: NONTERM 41: f845_0_reverse_NONNULL -> [10] : [ arg1>2 && arg2>0 && arg1P_13>2 ], cost: NONTERM 31: __init -> f845_0_reverse_NONNULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, [ arg2P_9>1 && arg1P_9>3 ], cost: 2 34: __init -> f845_0_reverse_NONNULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, [ arg1P_10>0 && arg2P_10>-1 ], cost: 3 42: __init -> [10] : [], cost: NONTERM Eliminated locations (on tree-shaped paths): Start location: __init 42: __init -> [10] : [], cost: NONTERM 43: __init -> [10] : [ arg2P_9>1 && arg1P_9>3 ], cost: NONTERM 44: __init -> [10] : [ arg2P_9>1 && arg1P_9>3 && arg1P_12>4 ], cost: NONTERM 45: __init -> [10] : [ arg2P_9>1 && arg1P_9>3 && arg1P_13>2 ], cost: NONTERM 46: __init -> [10] : [ 3<=-1+arg1P_10 && 3<=1+arg2P_10 ], cost: NONTERM 47: __init -> [10] : [ arg1P_10>2 && arg2P_10>0 && arg1P_12>4 ], cost: NONTERM 48: __init -> [10] : [ arg1P_10>2 && arg2P_10>0 && arg1P_13>2 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 42: __init -> [10] : [], cost: NONTERM 43: __init -> [10] : [ arg2P_9>1 && arg1P_9>3 ], cost: NONTERM 44: __init -> [10] : [ arg2P_9>1 && arg1P_9>3 && arg1P_12>4 ], cost: NONTERM 45: __init -> [10] : [ arg2P_9>1 && arg1P_9>3 && arg1P_13>2 ], cost: NONTERM 46: __init -> [10] : [ 3<=-1+arg1P_10 && 3<=1+arg2P_10 ], cost: NONTERM 47: __init -> [10] : [ arg1P_10>2 && arg2P_10>0 && arg1P_12>4 ], cost: NONTERM 48: __init -> [10] : [ arg1P_10>2 && arg2P_10>0 && arg1P_13>2 ], cost: NONTERM Computing asymptotic complexity for rule 42 Guard is satisfiable, yielding nontermination Resulting cost NONTERM has complexity: Nonterm Found new complexity Nonterm. Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Nonterm Cpx degree: Nonterm Solved cost: NONTERM Rule cost: NONTERM Rule guard: [] NO