WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f165_0_appendNewList_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, [ arg2>0 && arg4P_1>-1 && arg1P_1<=arg1 && -5+arg2P_1<=arg1 && -3+arg3P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>5 && arg3P_1>3 && 0==arg5P_1 ], cost: 1 1: f165_0_appendNewList_LE -> f200_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, [ arg4<2 && arg5>0 && x13_1>arg5 && x14_1>arg5 && arg1>0 && arg2>4 && arg3>2 && arg1P_2>4 ], cost: 1 2: f165_0_appendNewList_LE -> f200_0_random_ArrayAccess : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, [ -6+arg1P_3<=arg1 && arg4<2 && -1+arg1P_3<=arg2 && -3+arg1P_3<=arg3 && arg1>0 && arg2>5 && arg3>3 && arg1P_3>6 ], cost: 1 3: f165_0_appendNewList_LE -> f165_0_appendNewList_LE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, [ arg5P_4>arg5 && arg5>0 && arg4>1 && arg1P_4<=arg1 && 4+arg1P_4<=arg2 && 2+arg1P_4<=arg3 && arg1>0 && arg2>4 && arg3>2 && arg1P_4>0 && arg2P_4>4 && arg3P_4>2 && -1+arg4==arg4P_4 ], cost: 1 4: f165_0_appendNewList_LE -> f165_0_appendNewList_LE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, [ arg1P_5<=arg1 && arg4>1 && 5+arg1P_5<=arg2 && 3+arg1P_5<=arg3 && -7+arg2P_5<=arg1 && -2+arg2P_5<=arg2 && -4+arg2P_5<=arg3 && -5+arg3P_5<=arg1 && arg3P_5<=arg2 && -2+arg3P_5<=arg3 && arg1>0 && arg2>5 && arg3>3 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && -1+arg4==arg4P_5 && 1==arg5P_5 ], cost: 1 5: f200_0_random_ArrayAccess -> f314_0_appendNewList_LE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, [ arg2>1 && arg2P_6>-1 && 1+arg1P_6<=arg1 && arg1>4 && arg1P_6>3 && 0==arg3P_6 ], cost: 1 6: f314_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg3P_7>arg3 && arg3>0 && arg2>1 && arg1>2 && arg1P_7>2 && -1+arg2==arg2P_7 ], cost: 1 7: f314_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, [ -2+arg1P_8<=arg1 && arg2>1 && arg1>3 && arg1P_8>5 && -1+arg2==arg2P_8 && 1==arg3P_8 ], cost: 1 8: f314_0_appendNewList_LE -> f387_0_length_NULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, [ 2+arg1P_9<=arg1 && arg2<2 && arg1>2 && arg1P_9>0 ], cost: 1 9: f387_0_length_NULL -> f387_0_length_NULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_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, [], 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, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f165_0_appendNewList_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=0, [ arg2>0 && arg4P_1>-1 && arg1P_1<=arg1 && -5+arg2P_1<=arg1 && -3+arg3P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>5 && arg3P_1>3 ], cost: 1 1: f165_0_appendNewList_LE -> f200_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, [ arg4<2 && arg5>0 && arg1>0 && arg2>4 && arg3>2 && arg1P_2>4 ], cost: 1 2: f165_0_appendNewList_LE -> f200_0_random_ArrayAccess : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, [ -6+arg1P_3<=arg1 && arg4<2 && -1+arg1P_3<=arg2 && -3+arg1P_3<=arg3 && arg1>0 && arg2>5 && arg3>3 && arg1P_3>6 ], cost: 1 3: f165_0_appendNewList_LE -> f165_0_appendNewList_LE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=-1+arg4, arg5'=arg5P_4, [ arg5P_4>arg5 && arg5>0 && arg4>1 && arg1P_4<=arg1 && 4+arg1P_4<=arg2 && 2+arg1P_4<=arg3 && arg1>0 && arg2>4 && arg3>2 && arg1P_4>0 && arg2P_4>4 && arg3P_4>2 ], cost: 1 4: f165_0_appendNewList_LE -> f165_0_appendNewList_LE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=-1+arg4, arg5'=1, [ arg1P_5<=arg1 && arg4>1 && 5+arg1P_5<=arg2 && 3+arg1P_5<=arg3 && -7+arg2P_5<=arg1 && -2+arg2P_5<=arg2 && -4+arg2P_5<=arg3 && -5+arg3P_5<=arg1 && arg3P_5<=arg2 && -2+arg3P_5<=arg3 && arg1>0 && arg2>5 && arg3>3 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 ], cost: 1 5: f200_0_random_ArrayAccess -> f314_0_appendNewList_LE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=0, arg4'=arg4P_6, arg5'=arg5P_6, [ arg2>1 && arg2P_6>-1 && 1+arg1P_6<=arg1 && arg1>4 && arg1P_6>3 ], cost: 1 6: f314_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_7, arg2'=-1+arg2, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg3P_7>arg3 && arg3>0 && arg2>1 && arg1>2 && arg1P_7>2 ], cost: 1 7: f314_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1+arg2, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ -2+arg1P_8<=arg1 && arg2>1 && arg1>3 && arg1P_8>5 ], cost: 1 8: f314_0_appendNewList_LE -> f387_0_length_NULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, [ 2+arg1P_9<=arg1 && arg2<2 && arg1>2 && arg1P_9>0 ], cost: 1 9: f387_0_length_NULL -> f387_0_length_NULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_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, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 1. Accelerating the following rules: 3: f165_0_appendNewList_LE -> f165_0_appendNewList_LE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=-1+arg4, arg5'=arg5P_4, [ arg5P_4>arg5 && arg5>0 && arg4>1 && arg1P_4<=arg1 && 4+arg1P_4<=arg2 && 2+arg1P_4<=arg3 && arg1>0 && arg2>4 && arg3>2 && arg1P_4>0 && arg2P_4>4 && arg3P_4>2 ], cost: 1 4: f165_0_appendNewList_LE -> f165_0_appendNewList_LE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=-1+arg4, arg5'=1, [ arg1P_5<=arg1 && arg4>1 && 5+arg1P_5<=arg2 && 3+arg1P_5<=arg3 && -7+arg2P_5<=arg1 && -2+arg2P_5<=arg2 && -4+arg2P_5<=arg3 && -5+arg3P_5<=arg1 && arg3P_5<=arg2 && -2+arg3P_5<=arg3 && arg1>0 && arg2>5 && arg3>3 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 ], cost: 1 Failed to prove monotonicity of the guard of rule 3. Failed to prove monotonicity of the guard of rule 4. [accelerate] Nesting with 2 inner and 2 outer candidates Accelerating simple loops of location 3. Accelerating the following rules: 6: f314_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_7, arg2'=-1+arg2, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg3P_7>arg3 && arg3>0 && arg2>1 && arg1>2 && arg1P_7>2 ], cost: 1 7: f314_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1+arg2, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ -2+arg1P_8<=arg1 && arg2>1 && arg1>3 && arg1P_8>5 ], cost: 1 Failed to prove monotonicity of the guard of rule 6. Accelerated rule 7 with backward acceleration, yielding the new rule 11. [accelerate] Nesting with 2 inner and 2 outer candidates Nested simple loops 7 (outer loop) and 6 (inner loop) with Rule(3 | arg3>0, arg1>2, arg1P_8>5, k_1>=1, 1+arg2-2*k_1>1, | 2*k_1 || 3 | 0=arg1P_8, 1=arg2-2*k_1, 2=1, 3=arg4P_8, 4=arg5P_8, ), resulting in the new rules: 12, 13. Removing the simple loops: 7. Accelerating simple loops of location 4. Accelerating the following rules: 9: f387_0_length_NULL -> f387_0_length_NULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_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_Load -> f165_0_appendNewList_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=0, [ arg2>0 && arg4P_1>-1 && arg1P_1<=arg1 && -5+arg2P_1<=arg1 && -3+arg3P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>5 && arg3P_1>3 ], cost: 1 1: f165_0_appendNewList_LE -> f200_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, [ arg4<2 && arg5>0 && arg1>0 && arg2>4 && arg3>2 && arg1P_2>4 ], cost: 1 2: f165_0_appendNewList_LE -> f200_0_random_ArrayAccess : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, [ -6+arg1P_3<=arg1 && arg4<2 && -1+arg1P_3<=arg2 && -3+arg1P_3<=arg3 && arg1>0 && arg2>5 && arg3>3 && arg1P_3>6 ], cost: 1 3: f165_0_appendNewList_LE -> f165_0_appendNewList_LE : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=-1+arg4, arg5'=arg5P_4, [ arg5P_4>arg5 && arg5>0 && arg4>1 && arg1P_4<=arg1 && 4+arg1P_4<=arg2 && 2+arg1P_4<=arg3 && arg1>0 && arg2>4 && arg3>2 && arg1P_4>0 && arg2P_4>4 && arg3P_4>2 ], cost: 1 4: f165_0_appendNewList_LE -> f165_0_appendNewList_LE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=-1+arg4, arg5'=1, [ arg1P_5<=arg1 && arg4>1 && 5+arg1P_5<=arg2 && 3+arg1P_5<=arg3 && -7+arg2P_5<=arg1 && -2+arg2P_5<=arg2 && -4+arg2P_5<=arg3 && -5+arg3P_5<=arg1 && arg3P_5<=arg2 && -2+arg3P_5<=arg3 && arg1>0 && arg2>5 && arg3>3 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 ], cost: 1 5: f200_0_random_ArrayAccess -> f314_0_appendNewList_LE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=0, arg4'=arg4P_6, arg5'=arg5P_6, [ arg2>1 && arg2P_6>-1 && 1+arg1P_6<=arg1 && arg1>4 && arg1P_6>3 ], cost: 1 6: f314_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_7, arg2'=-1+arg2, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, [ arg3P_7>arg3 && arg3>0 && arg2>1 && arg1>2 && arg1P_7>2 ], cost: 1 8: f314_0_appendNewList_LE -> f387_0_length_NULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, [ 2+arg1P_9<=arg1 && arg2<2 && arg1>2 && arg1P_9>0 ], cost: 1 11: f314_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ -2+arg1P_8<=arg1 && arg1>3 && arg1P_8>5 && -1+arg2>=1 ], cost: -1+arg2 12: f314_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=arg2-2*k_1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg3>0 && arg1>2 && arg1P_8>5 && k_1>=1 && 1+arg2-2*k_1>1 ], cost: 2*k_1 13: f314_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1+arg2-2*k_1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ -2+arg1P_8<=arg1 && arg2>1 && arg1>3 && arg1P_8>5 && k_1>=1 && arg2-2*k_1>1 ], cost: 1+2*k_1 9: f387_0_length_NULL -> f387_0_length_NULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, [ 1+arg1P_10<=arg1 && arg1>0 && arg1P_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, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f165_0_appendNewList_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=0, [ arg2>0 && arg4P_1>-1 && arg1P_1<=arg1 && -5+arg2P_1<=arg1 && -3+arg3P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>5 && arg3P_1>3 ], cost: 1 14: f1_0_main_Load -> f165_0_appendNewList_LE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=-1+arg4P_1, arg5'=1, [ arg2>0 && arg1>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1 && -2+arg2P_5<=5+arg1 && arg3P_5<=5+arg1 ], cost: 2 1: f165_0_appendNewList_LE -> f200_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, [ arg4<2 && arg5>0 && arg1>0 && arg2>4 && arg3>2 && arg1P_2>4 ], cost: 1 2: f165_0_appendNewList_LE -> f200_0_random_ArrayAccess : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, [ -6+arg1P_3<=arg1 && arg4<2 && -1+arg1P_3<=arg2 && -3+arg1P_3<=arg3 && arg1>0 && arg2>5 && arg3>3 && arg1P_3>6 ], cost: 1 5: f200_0_random_ArrayAccess -> f314_0_appendNewList_LE : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=0, arg4'=arg4P_6, arg5'=arg5P_6, [ arg2>1 && arg2P_6>-1 && 1+arg1P_6<=arg1 && arg1>4 && arg1P_6>3 ], cost: 1 15: f200_0_random_ArrayAccess -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2>1 && arg1>4 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1 ], cost: arg2P_6 16: f200_0_random_ArrayAccess -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2>1 && arg1>4 && arg2P_6>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1 ], cost: 2+2*k_1 8: f314_0_appendNewList_LE -> f387_0_length_NULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, [ 2+arg1P_9<=arg1 && arg2<2 && arg1>2 && arg1P_9>0 ], cost: 1 17: f314_0_appendNewList_LE -> f387_0_length_NULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, [ arg2<2 && arg1>2 && arg1P_10>-1 && 1+arg1P_10<=-2+arg1 ], cost: 2 10: __init -> f1_0_main_Load : 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_Load -> f165_0_appendNewList_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=0, [ arg2>0 && arg4P_1>-1 && arg1P_1<=arg1 && -5+arg2P_1<=arg1 && -3+arg3P_1<=arg1 && arg1>0 && arg1P_1>0 && arg2P_1>5 && arg3P_1>3 ], cost: 1 14: f1_0_main_Load -> f165_0_appendNewList_LE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=-1+arg4P_1, arg5'=1, [ arg2>0 && arg1>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1 && -2+arg2P_5<=5+arg1 && arg3P_5<=5+arg1 ], cost: 2 1: f165_0_appendNewList_LE -> f200_0_random_ArrayAccess : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, [ arg4<2 && arg5>0 && arg1>0 && arg2>4 && arg3>2 && arg1P_2>4 ], cost: 1 2: f165_0_appendNewList_LE -> f200_0_random_ArrayAccess : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, [ -6+arg1P_3<=arg1 && arg4<2 && -1+arg1P_3<=arg2 && -3+arg1P_3<=arg3 && arg1>0 && arg2>5 && arg3>3 && arg1P_3>6 ], cost: 1 15: f200_0_random_ArrayAccess -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2>1 && arg1>4 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1 ], cost: arg2P_6 16: f200_0_random_ArrayAccess -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2>1 && arg1>4 && arg2P_6>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1 ], cost: 2+2*k_1 10: __init -> f1_0_main_Load : 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 20: f165_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg4<2 && arg5>0 && arg1>0 && arg2>4 && arg3>2 && arg1P_2>4 && arg2P_2>1 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1P_2 ], cost: 1+arg2P_6 21: f165_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg4<2 && arg5>0 && arg1>0 && arg2>4 && arg3>2 && arg1P_2>4 && arg2P_2>1 && arg2P_6>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1P_2 ], cost: 3+2*k_1 22: f165_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ -6+arg1P_3<=arg1 && arg4<2 && -1+arg1P_3<=arg2 && -3+arg1P_3<=arg3 && arg1>0 && arg2>5 && arg3>3 && arg1P_3>6 && arg2P_3>1 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 1+arg2P_6 23: f165_0_appendNewList_LE -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ -6+arg1P_3<=arg1 && arg4<2 && -1+arg1P_3<=arg2 && -3+arg1P_3<=arg3 && arg1>0 && arg2>5 && arg3>3 && arg1P_3>6 && arg2P_3>1 && arg2P_6>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 3+2*k_1 18: __init -> f165_0_appendNewList_LE : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=0, [ arg2P_11>0 && arg4P_1>-1 && arg1P_1<=arg1P_11 && -5+arg2P_1<=arg1P_11 && -3+arg3P_1<=arg1P_11 && arg1P_11>0 && arg1P_1>0 && arg2P_1>5 && arg3P_1>3 ], cost: 2 19: __init -> f165_0_appendNewList_LE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=-1+arg4P_1, arg5'=1, [ arg2P_11>0 && arg1P_11>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 ], cost: 3 Eliminated locations (on tree-shaped paths): Start location: __init 24: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg4P_1>-1 && arg1P_1<=arg1P_11 && -5+arg2P_1<=arg1P_11 && -3+arg3P_1<=arg1P_11 && arg1P_11>0 && arg1P_1>0 && arg2P_1>5 && arg3P_1>3 && -6+arg1P_3<=arg1P_1 && arg4P_1<2 && -1+arg1P_3<=arg2P_1 && -3+arg1P_3<=arg3P_1 && arg1P_3>6 && arg2P_3>1 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 3+arg2P_6 25: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg4P_1>-1 && arg1P_1<=arg1P_11 && -5+arg2P_1<=arg1P_11 && -3+arg3P_1<=arg1P_11 && arg1P_11>0 && arg1P_1>0 && arg2P_1>5 && arg3P_1>3 && -6+arg1P_3<=arg1P_1 && arg4P_1<2 && -1+arg1P_3<=arg2P_1 && -3+arg1P_3<=arg3P_1 && arg1P_3>6 && arg2P_3>1 && arg2P_6>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 5+2*k_1 26: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg1P_11>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 && -1+arg4P_1<2 && arg1P_2>4 && arg2P_2>1 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1P_2 ], cost: 4+arg2P_6 27: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg1P_11>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 && -1+arg4P_1<2 && arg1P_2>4 && arg2P_2>1 && arg2P_6>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1P_2 ], cost: 6+2*k_1 28: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg1P_11>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 && -6+arg1P_3<=arg1P_5 && -1+arg4P_1<2 && -1+arg1P_3<=arg2P_5 && -3+arg1P_3<=arg3P_5 && arg1P_3>6 && arg2P_3>1 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 4+arg2P_6 29: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg1P_11>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 && -6+arg1P_3<=arg1P_5 && -1+arg4P_1<2 && -1+arg1P_3<=arg2P_5 && -3+arg1P_3<=arg3P_5 && arg1P_3>6 && arg2P_3>1 && arg2P_6>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 6+2*k_1 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 24: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg4P_1>-1 && arg1P_1<=arg1P_11 && -5+arg2P_1<=arg1P_11 && -3+arg3P_1<=arg1P_11 && arg1P_11>0 && arg1P_1>0 && arg2P_1>5 && arg3P_1>3 && -6+arg1P_3<=arg1P_1 && arg4P_1<2 && -1+arg1P_3<=arg2P_1 && -3+arg1P_3<=arg3P_1 && arg1P_3>6 && arg2P_3>1 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 3+arg2P_6 25: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg4P_1>-1 && arg1P_1<=arg1P_11 && -5+arg2P_1<=arg1P_11 && -3+arg3P_1<=arg1P_11 && arg1P_11>0 && arg1P_1>0 && arg2P_1>5 && arg3P_1>3 && -6+arg1P_3<=arg1P_1 && arg4P_1<2 && -1+arg1P_3<=arg2P_1 && -3+arg1P_3<=arg3P_1 && arg1P_3>6 && arg2P_3>1 && arg2P_6>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 5+2*k_1 26: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg1P_11>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 && -1+arg4P_1<2 && arg1P_2>4 && arg2P_2>1 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1P_2 ], cost: 4+arg2P_6 27: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg1P_11>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 && -1+arg4P_1<2 && arg1P_2>4 && arg2P_2>1 && arg2P_6>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1P_2 ], cost: 6+2*k_1 28: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg1P_11>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 && -6+arg1P_3<=arg1P_5 && -1+arg4P_1<2 && -1+arg1P_3<=arg2P_5 && -3+arg1P_3<=arg3P_5 && arg1P_3>6 && arg2P_3>1 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 4+arg2P_6 29: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg1P_11>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 && -6+arg1P_3<=arg1P_5 && -1+arg4P_1<2 && -1+arg1P_3<=arg2P_5 && -3+arg1P_3<=arg3P_5 && arg1P_3>6 && arg2P_3>1 && arg2P_6>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 6+2*k_1 Computing asymptotic complexity for rule 26 Simplified the guard: 26: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 && -1+arg4P_1<2 && arg2P_2>1 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1P_2 ], cost: 4+arg2P_6 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 27 Simplified the guard: 27: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg4P_1>1 && arg1P_5>0 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 && -1+arg4P_1<2 && arg2P_2>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1P_2 ], cost: 6+2*k_1 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 24 Simplified the guard: 24: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg4P_1>-1 && arg1P_1<=arg1P_11 && -5+arg2P_1<=arg1P_11 && -3+arg3P_1<=arg1P_11 && arg1P_11>0 && -6+arg1P_3<=arg1P_1 && arg4P_1<2 && -1+arg1P_3<=arg2P_1 && -3+arg1P_3<=arg3P_1 && arg1P_3>6 && arg2P_3>1 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 3+arg2P_6 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 28 Simplified the guard: 28: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=1, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg4P_1>1 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 && -6+arg1P_3<=arg1P_5 && -1+arg4P_1<2 && -1+arg1P_3<=arg2P_5 && -3+arg1P_3<=arg3P_5 && arg1P_3>6 && arg2P_3>1 && arg1P_8>5 && -1+arg2P_6>=1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 4+arg2P_6 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 25 Simplified the guard: 25: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg4P_1>-1 && arg1P_1<=arg1P_11 && -5+arg2P_1<=arg1P_11 && -3+arg3P_1<=arg1P_11 && arg1P_11>0 && -6+arg1P_3<=arg1P_1 && arg4P_1<2 && -1+arg1P_3<=arg2P_1 && -3+arg1P_3<=arg3P_1 && arg1P_3>6 && arg2P_3>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 5+2*k_1 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 29 Simplified the guard: 29: __init -> f314_0_appendNewList_LE : arg1'=arg1P_8, arg2'=-1-2*k_1+arg2P_6, arg3'=1, arg4'=arg4P_8, arg5'=arg5P_8, [ arg2P_11>0 && arg4P_1>1 && arg2P_5>7 && arg3P_5>5 && 5+arg1P_5<=5+arg1P_11 && -2+arg2P_5<=5+arg1P_11 && arg3P_5<=5+arg1P_11 && -6+arg1P_3<=arg1P_5 && -1+arg4P_1<2 && -1+arg1P_3<=arg2P_5 && -3+arg1P_3<=arg3P_5 && arg1P_3>6 && arg2P_3>1 && arg1P_8>5 && k_1>=1 && -2*k_1+arg2P_6>1 && -2+arg1P_8<=-1+arg1P_3 ], cost: 6+2*k_1 Resulting cost 0 has complexity: Unknown Obtained the following overall complexity (w.r.t. the length of the input n): Complexity: Constant Cpx degree: 0 Solved cost: 1 Rule cost: 1 Rule guard: [] WORST_CASE(Omega(1),?)