WORST_CASE(INF,?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f252_0_createIntList_Return -> f1489_0_max_NULL : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1<=arg1 && -1+arg1P_1<=arg2 && arg3P_1<=arg2 && arg4P_1<=arg2 && arg6P_1<=arg2 && arg1>0 && arg2>-1 && arg1P_1>0 && arg3P_1>-1 && arg4P_1>-1 && arg6P_1>-1 && 0==arg2P_1 && 0==arg5P_1 ], cost: 1 2: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg1P_3<=arg1 && x24_1<=arg5 && -1+arg1P_3<=arg3 && arg1P_3<=arg4 && arg1P_3<=arg6 && arg3P_3<=arg3 && 1+arg4P_3<=arg4 && 1+arg4P_3<=arg6 && 1+arg6P_3<=arg4 && 1+arg6P_3<=arg6 && arg1>0 && arg3>-1 && arg4>0 && arg6>0 && arg1P_3>0 && arg3P_3>-1 && arg4P_3>-1 && arg6P_3>-1 && arg2==arg2P_3 && arg5==arg5P_3 ], cost: 1 3: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg1P_4<=arg1 && arg5P_4>arg5 && -1+arg1P_4<=arg3 && arg1P_4<=arg4 && arg1P_4<=arg6 && arg3P_4<=arg3 && 1+arg4P_4<=arg4 && 1+arg4P_4<=arg6 && 1+arg6P_4<=arg4 && 1+arg6P_4<=arg6 && arg1>0 && arg3>-1 && arg4>0 && arg6>0 && arg1P_4>0 && arg3P_4>-1 && arg4P_4>-1 && arg6P_4>-1 && 2+arg5P_4<=arg4 && 2+arg5P_4<=arg6 && arg2==arg2P_4 ], cost: 1 4: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg5>=arg2 && x37_1>0 && x48_1>0 && arg1P_5<=arg1 && -1+arg1P_5<=arg3 && -1+arg1P_5<=arg4 && -1+arg1P_5<=arg6 && arg3P_5<=arg3 && arg4P_5<=arg3 && arg6P_5<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg1P_5>0 && arg3P_5>-1 && arg4P_5>-1 && arg6P_5>-1 && 1+arg2==arg2P_5 && 0==arg5P_5 ], cost: 1 7: f1489_0_max_NULL -> f1214_0_member_NULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg5>=arg2 && x54_1>0 && x63_1>0 && arg2P_8<=arg3 && arg3P_8<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg2P_8>-1 && arg3P_8>-1 && arg2==arg1P_8 ], cost: 1 1: f1_0_main_Load -> f1489_0_max_NULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg3P_2>-1 && arg4P_2>-1 && arg6P_2>-1 && 0==arg2P_2 && 0==arg5P_2 ], cost: 1 5: f1_0_main_Load -> f605_0_createIntList_LE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2>-1 && arg1P_6>-1 && arg1>0 && 1==arg2P_6 ], cost: 1 6: f605_0_createIntList_LE -> f605_0_createIntList_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1>0 && arg2>0 && -1+arg1==arg1P_7 && 1+arg2==arg2P_7 ], cost: 1 8: f1214_0_member_NULL -> f1214_0_member_NULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 1+arg2P_9<=arg2 && x70_10 && arg3>0 && arg2P_9>-1 && arg3P_9>-1 && arg1==arg1P_9 ], cost: 1 9: f1214_0_member_NULL -> f1214_0_member_NULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg2P_10<=arg2 && x72_1>arg1 && 1+arg2P_10<=arg3 && 1+arg3P_10<=arg2 && 1+arg3P_10<=arg3 && arg2>0 && arg3>0 && arg2P_10>-1 && arg3P_10>-1 && arg1==arg1P_10 ], cost: 1 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [], cost: 1 Removed unreachable and leaf rules: Start location: __init 2: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg1P_3<=arg1 && x24_1<=arg5 && -1+arg1P_3<=arg3 && arg1P_3<=arg4 && arg1P_3<=arg6 && arg3P_3<=arg3 && 1+arg4P_3<=arg4 && 1+arg4P_3<=arg6 && 1+arg6P_3<=arg4 && 1+arg6P_3<=arg6 && arg1>0 && arg3>-1 && arg4>0 && arg6>0 && arg1P_3>0 && arg3P_3>-1 && arg4P_3>-1 && arg6P_3>-1 && arg2==arg2P_3 && arg5==arg5P_3 ], cost: 1 3: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg1P_4<=arg1 && arg5P_4>arg5 && -1+arg1P_4<=arg3 && arg1P_4<=arg4 && arg1P_4<=arg6 && arg3P_4<=arg3 && 1+arg4P_4<=arg4 && 1+arg4P_4<=arg6 && 1+arg6P_4<=arg4 && 1+arg6P_4<=arg6 && arg1>0 && arg3>-1 && arg4>0 && arg6>0 && arg1P_4>0 && arg3P_4>-1 && arg4P_4>-1 && arg6P_4>-1 && 2+arg5P_4<=arg4 && 2+arg5P_4<=arg6 && arg2==arg2P_4 ], cost: 1 4: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg5>=arg2 && x37_1>0 && x48_1>0 && arg1P_5<=arg1 && -1+arg1P_5<=arg3 && -1+arg1P_5<=arg4 && -1+arg1P_5<=arg6 && arg3P_5<=arg3 && arg4P_5<=arg3 && arg6P_5<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg1P_5>0 && arg3P_5>-1 && arg4P_5>-1 && arg6P_5>-1 && 1+arg2==arg2P_5 && 0==arg5P_5 ], cost: 1 7: f1489_0_max_NULL -> f1214_0_member_NULL : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg5>=arg2 && x54_1>0 && x63_1>0 && arg2P_8<=arg3 && arg3P_8<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg2P_8>-1 && arg3P_8>-1 && arg2==arg1P_8 ], cost: 1 1: f1_0_main_Load -> f1489_0_max_NULL : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg3P_2>-1 && arg4P_2>-1 && arg6P_2>-1 && 0==arg2P_2 && 0==arg5P_2 ], cost: 1 5: f1_0_main_Load -> f605_0_createIntList_LE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2>-1 && arg1P_6>-1 && arg1>0 && 1==arg2P_6 ], cost: 1 6: f605_0_createIntList_LE -> f605_0_createIntList_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1>0 && arg2>0 && -1+arg1==arg1P_7 && 1+arg2==arg2P_7 ], cost: 1 8: f1214_0_member_NULL -> f1214_0_member_NULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 1+arg2P_9<=arg2 && x70_10 && arg3>0 && arg2P_9>-1 && arg3P_9>-1 && arg1==arg1P_9 ], cost: 1 9: f1214_0_member_NULL -> f1214_0_member_NULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg2P_10<=arg2 && x72_1>arg1 && 1+arg2P_10<=arg3 && 1+arg3P_10<=arg2 && 1+arg3P_10<=arg3 && arg2>0 && arg3>0 && arg2P_10>-1 && arg3P_10>-1 && arg1==arg1P_10 ], cost: 1 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [], cost: 1 Simplified all rules, resulting in: Start location: __init 2: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg6'=arg6P_3, [ arg1P_3<=arg1 && -1+arg1P_3<=arg3 && arg1P_3<=arg4 && arg1P_3<=arg6 && arg3P_3<=arg3 && 1+arg4P_3<=arg4 && 1+arg4P_3<=arg6 && 1+arg6P_3<=arg4 && 1+arg6P_3<=arg6 && arg1>0 && arg3>-1 && arg4>0 && arg6>0 && arg1P_3>0 && arg3P_3>-1 && arg4P_3>-1 && arg6P_3>-1 ], cost: 1 3: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg1P_4<=arg1 && arg5P_4>arg5 && -1+arg1P_4<=arg3 && arg1P_4<=arg4 && arg1P_4<=arg6 && arg3P_4<=arg3 && 1+arg4P_4<=arg4 && 1+arg4P_4<=arg6 && 1+arg6P_4<=arg4 && 1+arg6P_4<=arg6 && arg1>0 && arg3>-1 && arg4>0 && arg6>0 && arg1P_4>0 && arg3P_4>-1 && arg4P_4>-1 && arg6P_4>-1 && 2+arg5P_4<=arg4 && 2+arg5P_4<=arg6 ], cost: 1 4: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_5, arg2'=1+arg2, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=0, arg6'=arg6P_5, [ arg5>=arg2 && arg1P_5<=arg1 && -1+arg1P_5<=arg3 && -1+arg1P_5<=arg4 && -1+arg1P_5<=arg6 && arg3P_5<=arg3 && arg4P_5<=arg3 && arg6P_5<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg1P_5>0 && arg3P_5>-1 && arg4P_5>-1 && arg6P_5>-1 ], cost: 1 7: f1489_0_max_NULL -> f1214_0_member_NULL : arg1'=arg2, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg5>=arg2 && arg2P_8<=arg3 && arg3P_8<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg2P_8>-1 && arg3P_8>-1 ], cost: 1 1: f1_0_main_Load -> f1489_0_max_NULL : arg1'=arg1P_2, arg2'=0, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=0, arg6'=arg6P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg3P_2>-1 && arg4P_2>-1 && arg6P_2>-1 ], cost: 1 5: f1_0_main_Load -> f605_0_createIntList_LE : arg1'=arg1P_6, arg2'=1, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2>-1 && arg1P_6>-1 && arg1>0 ], cost: 1 6: f605_0_createIntList_LE -> f605_0_createIntList_LE : arg1'=-1+arg1, arg2'=1+arg2, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1>0 && arg2>0 ], cost: 1 8: f1214_0_member_NULL -> f1214_0_member_NULL : arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 1+arg2P_9<=arg2 && 1+arg2P_9<=arg3 && 1+arg3P_9<=arg2 && 1+arg3P_9<=arg3 && arg2>0 && arg3>0 && arg2P_9>-1 && arg3P_9>-1 ], cost: 1 9: f1214_0_member_NULL -> f1214_0_member_NULL : arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg2P_10<=arg2 && 1+arg2P_10<=arg3 && 1+arg3P_10<=arg2 && 1+arg3P_10<=arg3 && arg2>0 && arg3>0 && arg2P_10>-1 && arg3P_10>-1 ], cost: 1 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 1. Accelerating the following rules: 2: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg6'=arg6P_3, [ arg1P_3<=arg1 && -1+arg1P_3<=arg3 && arg1P_3<=arg4 && arg1P_3<=arg6 && arg3P_3<=arg3 && 1+arg4P_3<=arg4 && 1+arg4P_3<=arg6 && 1+arg6P_3<=arg4 && 1+arg6P_3<=arg6 && arg1>0 && arg3>-1 && arg4>0 && arg6>0 && arg1P_3>0 && arg3P_3>-1 && arg4P_3>-1 && arg6P_3>-1 ], cost: 1 3: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg1P_4<=arg1 && arg5P_4>arg5 && -1+arg1P_4<=arg3 && arg1P_4<=arg4 && arg1P_4<=arg6 && arg3P_4<=arg3 && 1+arg4P_4<=arg4 && 1+arg4P_4<=arg6 && 1+arg6P_4<=arg4 && 1+arg6P_4<=arg6 && arg1>0 && arg3>-1 && arg4>0 && arg6>0 && arg1P_4>0 && arg3P_4>-1 && arg4P_4>-1 && arg6P_4>-1 && 2+arg5P_4<=arg4 && 2+arg5P_4<=arg6 ], cost: 1 4: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_5, arg2'=1+arg2, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=0, arg6'=arg6P_5, [ arg5>=arg2 && arg1P_5<=arg1 && -1+arg1P_5<=arg3 && -1+arg1P_5<=arg4 && -1+arg1P_5<=arg6 && arg3P_5<=arg3 && arg4P_5<=arg3 && arg6P_5<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg1P_5>0 && arg3P_5>-1 && arg4P_5>-1 && arg6P_5>-1 ], cost: 1 During metering: Instantiating temporary variables by {arg3P_3==arg3,arg4P_3==-1+arg6,arg6P_3==-1+arg6,arg1P_3==arg4} Accelerated rule 2 with metering function -arg6+2*arg4, yielding the new rule 11. During metering: Instantiating temporary variables by {arg5P_4==-2+arg6,arg4P_4==-1+arg4,arg6P_4==-1+arg6,arg1P_4==arg1,arg3P_4==arg3} Accelerated rule 3 with metering function -arg6+arg4, yielding the new rule 12. Accelerated rule 4 with metering function -arg2 (after strengthening guard), yielding the new rule 13. During metering: Instantiating temporary variables by {arg5P_4==-2+arg4,arg6P_4==-1+arg6,arg3P_4==-1+arg6P_4} Nested simple loops 4 (outer loop) and 11 (inner loop) with metering function 1-arg1P_5, resulting in the new rules: 14. During metering: Instantiating temporary variables by {arg3P_5==arg6P_5,arg4P_5==arg3P_5,arg1P_5==1+arg3P_5,arg6P_5==-1+arg1P_5} During metering: Instantiating temporary variables by {arg3P_5==arg6P_5,arg4P_5==arg3P_5,arg1P_5==1+arg3P_5,arg6P_5==-1+arg1P_5} Removing the simple loops: 2 3 4. Accelerating simple loops of location 3. Accelerating the following rules: 6: f605_0_createIntList_LE -> f605_0_createIntList_LE : arg1'=-1+arg1, arg2'=1+arg2, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1>0 && arg2>0 ], cost: 1 Accelerated rule 6 with metering function arg1, yielding the new rule 15. Removing the simple loops: 6. Accelerating simple loops of location 4. Accelerating the following rules: 8: f1214_0_member_NULL -> f1214_0_member_NULL : arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 1+arg2P_9<=arg2 && 1+arg2P_9<=arg3 && 1+arg3P_9<=arg2 && 1+arg3P_9<=arg3 && arg2>0 && arg3>0 && arg2P_9>-1 && arg3P_9>-1 ], cost: 1 9: f1214_0_member_NULL -> f1214_0_member_NULL : arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 1+arg2P_10<=arg2 && 1+arg2P_10<=arg3 && 1+arg3P_10<=arg2 && 1+arg3P_10<=arg3 && arg2>0 && arg3>0 && arg2P_10>-1 && arg3P_10>-1 ], cost: 1 During metering: Instantiating temporary variables by {arg3P_9==-1+arg3,arg2P_9==-1+arg2} Accelerated rule 8 with metering function -arg3+2*arg2, yielding the new rule 16. During metering: Instantiating temporary variables by {arg2P_10==-1+arg2,arg3P_10==-1+arg3} Accelerated rule 9 with metering function -arg3+2*arg2, yielding the new rule 17. Removing the simple loops: 8 9. Accelerated all simple loops using metering functions (where possible): Start location: __init 7: f1489_0_max_NULL -> f1214_0_member_NULL : arg1'=arg2, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg5>=arg2 && arg2P_8<=arg3 && arg3P_8<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg2P_8>-1 && arg3P_8>-1 ], cost: 1 11: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=1+2*arg6-2*arg4, arg3'=arg3, arg4'=2*arg6-2*arg4, arg6'=2*arg6-2*arg4, [ arg4<=arg1 && -1+arg4<=arg3 && arg4<=arg6 && arg6<=arg4 && arg1>0 && arg3>-1 && arg4>0 && arg6>0 && -arg6+2*arg4>=1 ], cost: -arg6+2*arg4 12: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1, arg3'=arg3, arg4'=arg6, arg5'=-1+2*arg6-arg4, arg6'=2*arg6-arg4, [ -2+arg6>arg5 && -1+arg1<=arg3 && arg1<=arg4 && arg1<=arg6 && arg4<=arg6 && arg1>0 && arg3>-1 && arg4>0 && arg6>0 && -arg6+arg4>=1 ], cost: -arg6+arg4 13: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_5, arg2'=0, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=0, arg6'=arg6P_5, [ arg5>=arg2 && arg1P_5<=arg1 && -1+arg1P_5<=arg3 && -1+arg1P_5<=arg4 && -1+arg1P_5<=arg6 && arg3P_5<=arg3 && arg4P_5<=arg3 && arg6P_5<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg1P_5>0 && arg3P_5>-1 && arg4P_5>-1 && arg6P_5>-1 && -1+arg1P_5<=arg3P_5 && arg4P_5<=arg3P_5 && arg6P_5<=arg3P_5 && -1+arg1P_5<=arg4P_5 && 0>=1+arg2 && -1+arg1P_5<=arg6P_5 ], cost: -arg2 14: f1489_0_max_NULL -> f1489_0_max_NULL : arg1'=arg1P_5, arg2'=1-arg1P_5+arg2, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=0, arg6'=arg6P_5, [ arg4<=arg1 && -1+arg4<=arg3 && -arg6+arg4==0 && arg1>0 && arg3>-1 && arg4>0 && arg6>0 && -arg6+2*arg4>=1 && arg5>=arg2 && arg1P_5<=1+2*arg6-2*arg4 && -1+arg1P_5<=arg3 && arg3P_5<=arg3 && arg4P_5<=arg3 && arg6P_5<=arg3 && 1+2*arg6-2*arg4>0 && arg1P_5>0 && arg3P_5>-1 && arg4P_5>-1 && arg6P_5>-1 && 1-arg1P_5>=1 ], cost: 1+(-1+arg1P_5)*arg6P_5-arg1P_5-2*arg4P_5*(-1+arg1P_5) 1: f1_0_main_Load -> f1489_0_max_NULL : arg1'=arg1P_2, arg2'=0, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=0, arg6'=arg6P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg3P_2>-1 && arg4P_2>-1 && arg6P_2>-1 ], cost: 1 5: f1_0_main_Load -> f605_0_createIntList_LE : arg1'=arg1P_6, arg2'=1, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2>-1 && arg1P_6>-1 && arg1>0 ], cost: 1 15: f605_0_createIntList_LE -> f605_0_createIntList_LE : arg1'=0, arg2'=arg1+arg2, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg1>0 && arg2>0 ], cost: arg1 16: f1214_0_member_NULL -> f1214_0_member_NULL : arg2'=arg3-arg2, arg3'=2*arg3-2*arg2, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg2<=arg3 && arg3<=arg2 && arg2>0 && arg3>0 && -arg3+2*arg2>=1 ], cost: -arg3+2*arg2 17: f1214_0_member_NULL -> f1214_0_member_NULL : arg2'=arg3-arg2, arg3'=2*arg3-2*arg2, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg2<=arg3 && arg3<=arg2 && arg2>0 && arg3>0 && -arg3+2*arg2>=1 ], cost: -arg3+2*arg2 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 7: f1489_0_max_NULL -> f1214_0_member_NULL : arg1'=arg2, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg5>=arg2 && arg2P_8<=arg3 && arg3P_8<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg2P_8>-1 && arg3P_8>-1 ], cost: 1 20: f1489_0_max_NULL -> f1214_0_member_NULL : arg1'=arg2, arg2'=0, arg3'=0, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg5>=arg2 && arg3P_8<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg3P_8>0 ], cost: 1+arg3P_8 21: f1489_0_max_NULL -> f1214_0_member_NULL : arg1'=arg2, arg2'=0, arg3'=0, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg5>=arg2 && arg3P_8<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg3P_8>0 ], cost: 1+arg3P_8 1: f1_0_main_Load -> f1489_0_max_NULL : arg1'=arg1P_2, arg2'=0, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=0, arg6'=arg6P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg3P_2>-1 && arg4P_2>-1 && arg6P_2>-1 ], cost: 1 5: f1_0_main_Load -> f605_0_createIntList_LE : arg1'=arg1P_6, arg2'=1, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg2>-1 && arg1P_6>-1 && arg1>0 ], cost: 1 18: f1_0_main_Load -> f1489_0_max_NULL : arg1'=1, arg2'=0, arg3'=arg3P_2, arg4'=0, arg5'=0, arg6'=0, [ arg1>0 && arg3P_2>-1 && -1+arg6P_2<=arg3P_2 && arg6P_2>0 && arg6P_2<=arg1 ], cost: 1+arg6P_2 19: f1_0_main_Load -> f605_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_6, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg2>-1 && arg1>0 && arg1P_6>0 ], cost: 1+arg1P_6 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [], cost: 1 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 20: f1489_0_max_NULL -> f1214_0_member_NULL : arg1'=arg2, arg2'=0, arg3'=0, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg5>=arg2 && arg3P_8<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg3P_8>0 ], cost: 1+arg3P_8 21: f1489_0_max_NULL -> f1214_0_member_NULL : arg1'=arg2, arg2'=0, arg3'=0, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg5>=arg2 && arg3P_8<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg3P_8>0 ], cost: 1+arg3P_8 1: f1_0_main_Load -> f1489_0_max_NULL : arg1'=arg1P_2, arg2'=0, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=0, arg6'=arg6P_2, [ arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg3P_2>-1 && arg4P_2>-1 && arg6P_2>-1 ], cost: 1 18: f1_0_main_Load -> f1489_0_max_NULL : arg1'=1, arg2'=0, arg3'=arg3P_2, arg4'=0, arg5'=0, arg6'=0, [ arg1>0 && arg3P_2>-1 && -1+arg6P_2<=arg3P_2 && arg6P_2>0 && arg6P_2<=arg1 ], cost: 1+arg6P_2 19: f1_0_main_Load -> f605_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_6, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg2>-1 && arg1>0 && arg1P_6>0 ], cost: 1+arg1P_6 10: __init -> f1_0_main_Load : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 20: f1489_0_max_NULL -> f1214_0_member_NULL : arg1'=arg2, arg2'=0, arg3'=0, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg5>=arg2 && arg3P_8<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg3P_8>0 ], cost: 1+arg3P_8 21: f1489_0_max_NULL -> f1214_0_member_NULL : arg1'=arg2, arg2'=0, arg3'=0, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg5>=arg2 && arg3P_8<=arg3 && arg1>0 && arg3>-1 && arg4>-1 && arg6>-1 && arg3P_8>0 ], cost: 1+arg3P_8 22: __init -> f1489_0_max_NULL : arg1'=arg1P_2, arg2'=0, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=0, arg6'=arg6P_2, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg3P_2>-1 && arg4P_2>-1 && arg6P_2>-1 ], cost: 2 23: __init -> f1489_0_max_NULL : arg1'=1, arg2'=0, arg3'=arg3P_2, arg4'=0, arg5'=0, arg6'=0, [ arg1P_11>0 && arg3P_2>-1 && -1+arg6P_2<=arg3P_2 && arg6P_2>0 && arg6P_2<=arg1P_11 ], cost: 2+arg6P_2 24: __init -> f605_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_6, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg2P_11>-1 && arg1P_11>0 && arg1P_6>0 ], cost: 2+arg1P_6 Eliminated locations (on tree-shaped paths): Start location: __init 24: __init -> f605_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_6, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg2P_11>-1 && arg1P_11>0 && arg1P_6>0 ], cost: 2+arg1P_6 25: __init -> f1214_0_member_NULL : arg1'=0, arg2'=0, arg3'=0, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg3P_2>-1 && arg4P_2>-1 && arg6P_2>-1 && arg3P_8<=arg3P_2 && arg3P_8>0 ], cost: 3+arg3P_8 26: __init -> f1214_0_member_NULL : arg1'=0, arg2'=0, arg3'=0, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg3P_2>-1 && arg4P_2>-1 && arg6P_2>-1 && arg3P_8<=arg3P_2 && arg3P_8>0 ], cost: 3+arg3P_8 27: __init -> f1214_0_member_NULL : arg1'=0, arg2'=0, arg3'=0, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg1P_11>0 && arg3P_2>-1 && -1+arg6P_2<=arg3P_2 && arg6P_2>0 && arg6P_2<=arg1P_11 && arg3P_8<=arg3P_2 && arg3P_8>0 ], cost: 3+arg6P_2+arg3P_8 28: __init -> f1214_0_member_NULL : arg1'=0, arg2'=0, arg3'=0, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg1P_11>0 && arg3P_2>-1 && -1+arg6P_2<=arg3P_2 && arg6P_2>0 && arg6P_2<=arg1P_11 && arg3P_8<=arg3P_2 && arg3P_8>0 ], cost: 3+arg6P_2+arg3P_8 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 24: __init -> f605_0_createIntList_LE : arg1'=0, arg2'=1+arg1P_6, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg2P_11>-1 && arg1P_11>0 && arg1P_6>0 ], cost: 2+arg1P_6 26: __init -> f1214_0_member_NULL : arg1'=0, arg2'=0, arg3'=0, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg1P_2<=arg1P_11 && arg1P_11>0 && arg1P_2>0 && arg3P_2>-1 && arg4P_2>-1 && arg6P_2>-1 && arg3P_8<=arg3P_2 && arg3P_8>0 ], cost: 3+arg3P_8 28: __init -> f1214_0_member_NULL : arg1'=0, arg2'=0, arg3'=0, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg1P_11>0 && arg3P_2>-1 && -1+arg6P_2<=arg3P_2 && arg6P_2>0 && arg6P_2<=arg1P_11 && arg3P_8<=arg3P_2 && arg3P_8>0 ], cost: 3+arg6P_2+arg3P_8 Computing asymptotic complexity for rule 24 Solved the limit problem by the following transformations: Created initial limit problem: 1+arg2P_11 (+/+!), arg1P_11 (+/+!), 2+arg1P_6 (+), arg1P_6 (+/+!) [not solved] removing all constraints (solved by SMT) resulting limit problem: [solved] applying transformation rule (C) using substitution {arg2P_11==n,arg1P_11==n,arg1P_6==n} resulting limit problem: [solved] Solution: arg2P_11 / n arg1P_11 / n arg1P_6 / 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_6 Rule guard: [ arg2P_11>-1 && arg1P_11>0 && arg1P_6>0 ] WORST_CASE(INF,?)