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 Accelerated rule 1 with NONTERM (after strengthening guard), yielding the new rule 16. Removing the simple loops:. 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 Accelerated rule 3 with NONTERM (after strengthening guard), yielding the new rule 17. Removing the simple loops:. 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 During metering: Instantiating temporary variables by {arg1P_6==-2+arg1,arg2P_6==-1+arg2} Accelerated rule 5 with metering function -2+arg1-arg2, yielding the new rule 18. Removing the simple loops: 5. 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 During metering: Instantiating temporary variables by {arg1P_8==-2+arg1,arg2P_8==-1+arg2} Accelerated rule 7 with metering function -2+arg1-arg2, yielding the new rule 19. Removing the simple loops: 7. 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 During metering: Instantiating temporary variables by {arg1P_10==-2+arg1,arg2P_10==-1+arg2} Accelerated rule 9 with metering function -2+arg1-arg2, yielding the new rule 20. Removing the simple loops: 9. 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 16: f230_0_alternate_NONNULL -> [9] : [ 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 && arg2P_2>0 && arg2P_2<=arg1P_2 && arg1P_2>0 && 1+arg1P_2<=arg2P_2 && arg2P_2>=1+arg3P_2 && arg2P_2>=1+arg4P_2 && arg2P_2<=arg3P_2 && arg3P_2>0 && arg2P_2<=arg4P_2 && arg4P_2>0 ], cost: NONTERM 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 17: 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 18: f565_0_iter_NULL -> f565_0_iter_NULL : arg1'=4-arg1+2*arg2, arg2'=2-arg1+2*arg2, arg3'=arg3P_6, arg4'=arg4P_6, [ -2+arg1<=arg2 && arg1>2 && arg2>0 && -2+arg1-arg2>=1 ], cost: -2+arg1-arg2 19: f717_0_reverseAcc_NONNULL -> f717_0_reverseAcc_NONNULL : arg1'=4-arg1+2*arg2, arg2'=2-arg1+2*arg2, arg3'=arg3P_8, arg4'=arg4P_8, [ -2+arg1<=arg2 && arg1>2 && arg2>0 && -2+arg1-arg2>=1 ], cost: -2+arg1-arg2 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 -> f845_0_reverse_NONNULL : arg1'=4-arg1+2*arg2, arg2'=2-arg1+2*arg2, arg3'=arg3P_10, arg4'=arg4P_10, [ -2+arg1<=arg2 && arg1>2 && arg2>0 && -2+arg1-arg2>=1 ], cost: -2+arg1-arg2 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 21: 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 22: 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 25: f1_0_main_New -> [10] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3>3 && arg2P_3>4 && arg3P_3>0 ], cost: NONTERM 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 23: 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 26: f845_0_reverse_NONNULL -> [10] : 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 && arg2P_11>1 && arg1P_11>2 && arg3P_11>0 ], 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 24: 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 27: f1225_0_reverse_InvokeMethod -> [10] : 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>0 ], 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 25: f1_0_main_New -> [10] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3>3 && arg2P_3>4 && arg3P_3>0 ], cost: NONTERM 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 26: f845_0_reverse_NONNULL -> [10] : 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 && arg2P_11>1 && arg1P_11>2 && arg3P_11>0 ], cost: NONTERM 27: f1225_0_reverse_InvokeMethod -> [10] : 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>0 ], 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 26: f845_0_reverse_NONNULL -> [10] : 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 && arg2P_11>1 && arg1P_11>2 && arg3P_11>0 ], cost: NONTERM 30: f845_0_reverse_NONNULL -> [10] : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ arg1>2 && arg2>0 && arg1P_12>4 && arg1P_15<=arg1P_12 && 1+arg2P_15<=arg1P_12 && arg1P_15>2 && arg2P_15>1 && arg3P_15>0 ], cost: NONTERM 31: f845_0_reverse_NONNULL -> [10] : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ arg1>2 && arg2>0 && arg1P_13>2 && arg1P_15<=arg1P_13 && 1+arg2P_15<=arg1P_13 && arg1P_15>2 && arg2P_15>1 && arg3P_15>0 ], cost: NONTERM 28: __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 29: __init -> [10] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3>3 && arg2P_3>4 && arg3P_3>0 ], cost: NONTERM Eliminated locations (on tree-shaped paths): Start location: __init 29: __init -> [10] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3>3 && arg2P_3>4 && arg3P_3>0 ], cost: NONTERM 32: __init -> [10] : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ arg2P_9>1 && arg1P_9>3 && 1+arg1P_11<=arg1P_9 && -1+arg1P_11<=arg2P_9 && 1+arg2P_11<=arg1P_9 && -1+arg2P_11<=arg2P_9 && arg2P_11>1 && arg1P_11>2 && arg3P_11>0 ], cost: NONTERM 33: __init -> [10] : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ arg2P_9>1 && arg1P_9>3 && arg1P_12>4 && arg1P_15<=arg1P_12 && 1+arg2P_15<=arg1P_12 && arg1P_15>2 && arg2P_15>1 && arg3P_15>0 ], cost: NONTERM 34: __init -> [10] : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ arg2P_9>1 && arg1P_9>3 && arg1P_13>2 && arg1P_15<=arg1P_13 && 1+arg2P_15<=arg1P_13 && arg1P_15>2 && arg2P_15>1 && arg3P_15>0 ], cost: NONTERM ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 29: __init -> [10] : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, [ arg1P_3>3 && arg2P_3>4 && arg3P_3>0 ], cost: NONTERM 32: __init -> [10] : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, [ arg2P_9>1 && arg1P_9>3 && 1+arg1P_11<=arg1P_9 && -1+arg1P_11<=arg2P_9 && 1+arg2P_11<=arg1P_9 && -1+arg2P_11<=arg2P_9 && arg2P_11>1 && arg1P_11>2 && arg3P_11>0 ], cost: NONTERM 33: __init -> [10] : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ arg2P_9>1 && arg1P_9>3 && arg1P_12>4 && arg1P_15<=arg1P_12 && 1+arg2P_15<=arg1P_12 && arg1P_15>2 && arg2P_15>1 && arg3P_15>0 ], cost: NONTERM 34: __init -> [10] : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, [ arg2P_9>1 && arg1P_9>3 && arg1P_13>2 && arg1P_15<=arg1P_13 && 1+arg2P_15<=arg1P_13 && arg1P_15>2 && arg2P_15>1 && arg3P_15>0 ], cost: NONTERM Computing asymptotic complexity for rule 29 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: [ arg1P_3>3 && arg2P_3>4 && arg3P_3>0 ] NO