WORST_CASE(Omega(1),?) ### Pre-processing the ITS problem ### Initial linear ITS problem Start location: __init 0: f1_0_main_Load -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 && arg2==arg2P_1 && 1==arg3P_1 ], cost: 1 1: f1_0_main_Load -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ x8_1>-1 && arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f499_0_createTree_GT -> f1039_0_createTree_GE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2>-1 && arg1>0 && arg3>0 && arg3-1 && arg1==arg1P_5 && -1+arg1==arg2P_5 && 0==arg3P_5 && arg2==arg5P_5 && 1+arg3==arg6P_5 ], cost: 1 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ x14_1>0 && arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 && arg3==arg2P_4 ], cost: 1 2: f350_0_createTree_Return -> f1061_0_main_InvokeMethod : arg1'=arg1P_3, arg2'=arg2P_3, arg3'=arg3P_3, arg4'=arg4P_3, arg5'=arg5P_3, arg6'=arg6P_3, [ arg1P_3<=arg1 && 1+arg2P_3<=arg1 && arg1>0 && arg1P_3>0 && arg2P_3>-1 && arg2==arg3P_3 ], cost: 1 8: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 2+arg1P_9<=arg1 && arg2>1 && arg1>2 && arg1P_9>0 && arg2==arg2P_9 ], cost: 1 9: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 4+arg1P_10<=arg1 && arg2>1 && arg1>3 && arg1P_10>-1 && arg2==arg2P_10 ], cost: 1 10: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg1P_11>1 && arg2P_11>2 && arg3P_11>-1 && arg2==arg5P_11 ], cost: 1 11: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg1P_12>1 && arg2P_12>5 && arg3P_12>-1 && arg2==arg5P_12 ], cost: 1 5: f1039_0_createTree_GE -> f499_0_createTree_GT : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1039_0_createTree_GE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1039_0_createTree_GE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 3+arg1P_13<=arg1 && arg5>1 && 1+arg1P_13<=arg3 && arg1>2 && arg2>0 && arg3>0 && arg1P_13>-1 && arg5==arg2P_13 ], cost: 1 13: f1400_0_mirror_FieldAccess -> f1463_0_mirror_FieldAccess : arg1'=arg1P_14, arg2'=arg2P_14, arg3'=arg3P_14, arg4'=arg4P_14, arg5'=arg5P_14, arg6'=arg6P_14, [ arg1P_14<=arg2 && arg5>1 && arg2P_14<=arg1 && -3+arg2P_14<=arg2 && -2+arg2P_14<=arg3 && arg1>3 && arg2>0 && arg3>1 && arg1P_14>0 && arg2P_14>3 ], cost: 1 14: f1400_0_mirror_FieldAccess -> f1463_0_mirror_FieldAccess : arg1'=arg1P_15, arg2'=arg2P_15, arg3'=arg3P_15, arg4'=arg4P_15, arg5'=arg5P_15, arg6'=arg6P_15, [ arg1P_15<=arg2 && arg5>1 && arg2P_15<=arg1 && -2+arg2P_15<=arg3 && arg1>5 && arg2>0 && arg3>3 && arg1P_15>0 && arg2P_15>5 ], cost: 1 15: f1400_0_mirror_FieldAccess -> f1463_0_mirror_FieldAccess : arg1'=arg1P_16, arg2'=arg2P_16, arg3'=arg3P_16, arg4'=arg4P_16, arg5'=arg5P_16, arg6'=arg6P_16, [ arg1P_16<=arg2 && arg5>1 && arg1>2 && arg2>0 && arg3>0 && arg1P_16>0 && arg2P_16>5 ], cost: 1 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, [], cost: 1 Checking for constant complexity: The following rule is satisfiable with cost >= 1, yielding constant complexity: 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, [], cost: 1 Removed unreachable and leaf rules: Start location: __init 0: f1_0_main_Load -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_1, arg3'=arg3P_1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 && arg2==arg2P_1 && 1==arg3P_1 ], cost: 1 1: f1_0_main_Load -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ x8_1>-1 && arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f499_0_createTree_GT -> f1039_0_createTree_GE : arg1'=arg1P_5, arg2'=arg2P_5, arg3'=arg3P_5, arg4'=arg4P_5, arg5'=arg5P_5, arg6'=arg6P_5, [ arg2>-1 && arg1>0 && arg3>0 && arg3-1 && arg1==arg1P_5 && -1+arg1==arg2P_5 && 0==arg3P_5 && arg2==arg5P_5 && 1+arg3==arg6P_5 ], cost: 1 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg2P_4, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ x14_1>0 && arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 && arg3==arg2P_4 ], cost: 1 8: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg2P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 2+arg1P_9<=arg1 && arg2>1 && arg1>2 && arg1P_9>0 && arg2==arg2P_9 ], cost: 1 9: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg2P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 4+arg1P_10<=arg1 && arg2>1 && arg1>3 && arg1P_10>-1 && arg2==arg2P_10 ], cost: 1 10: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg5P_11, arg6'=arg6P_11, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg1P_11>1 && arg2P_11>2 && arg3P_11>-1 && arg2==arg5P_11 ], cost: 1 11: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg5P_12, arg6'=arg6P_12, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg1P_12>1 && arg2P_12>5 && arg3P_12>-1 && arg2==arg5P_12 ], cost: 1 5: f1039_0_createTree_GE -> f499_0_createTree_GT : arg1'=arg1P_6, arg2'=arg2P_6, arg3'=arg3P_6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1039_0_createTree_GE : arg1'=arg1P_7, arg2'=arg2P_7, arg3'=arg3P_7, arg4'=arg4P_7, arg5'=arg5P_7, arg6'=arg6P_7, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1039_0_createTree_GE : arg1'=arg1P_8, arg2'=arg2P_8, arg3'=arg3P_8, arg4'=arg4P_8, arg5'=arg5P_8, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg1>0 && arg6>1 && arg2-1 && -1+arg2 f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg2P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 3+arg1P_13<=arg1 && arg5>1 && 1+arg1P_13<=arg3 && arg1>2 && arg2>0 && arg3>0 && arg1P_13>-1 && arg5==arg2P_13 ], cost: 1 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, [], cost: 1 Simplified all rules, resulting in: Start location: __init 0: f1_0_main_Load -> f499_0_createTree_GT : arg1'=arg1P_1, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 ], cost: 1 1: f1_0_main_Load -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=0, arg4'=arg4P_5, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg3-1 ], cost: 1 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 8: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 2+arg1P_9<=arg1 && arg2>1 && arg1>2 && arg1P_9>0 ], cost: 1 9: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 4+arg1P_10<=arg1 && arg2>1 && arg1>3 && arg1P_10>-1 ], cost: 1 10: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg2, arg6'=arg6P_11, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg1P_11>1 && arg2P_11>2 && arg3P_11>-1 ], cost: 1 11: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg2, arg6'=arg6P_12, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg1P_12>1 && arg2P_12>5 && arg3P_12>-1 ], cost: 1 5: f1039_0_createTree_GE -> f499_0_createTree_GT : arg1'=-1+arg2, arg2'=arg5, arg3'=arg6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 6: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=1+arg3, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 7: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=1+arg3, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 12: f1400_0_mirror_FieldAccess -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg5, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 3+arg1P_13<=arg1 && arg5>1 && 1+arg1P_13<=arg3 && arg1>2 && arg2>0 && arg3>0 && arg1P_13>-1 ], cost: 1 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, [], cost: 1 ### Simplification by acceleration and chaining ### Accelerating simple loops of location 4. Accelerating the following rules: 8: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 2+arg1P_9<=arg1 && arg2>1 && arg1>2 && arg1P_9>0 ], cost: 1 9: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 4+arg1P_10<=arg1 && arg2>1 && arg1>3 && arg1P_10>-1 ], cost: 1 Failed to prove monotonicity of the guard of rule 8. Failed to prove monotonicity of the guard of rule 9. [accelerate] Nesting with 2 inner and 2 outer candidates Accelerating simple loops of location 5. Accelerating the following rules: 6: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=1+arg3, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 7: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=1+arg3, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 Accelerated rule 6 with backward acceleration, yielding the new rule 17. Failed to prove monotonicity of the guard of rule 7. [accelerate] Nesting with 2 inner and 2 outer candidates Nested simple loops 6 (outer loop) and 7 (inner loop) with Rule(5 | arg4>0, arg6>1, arg2-1, arg6P_8>1, k_2>=1, arg4>-1+2*k_2+arg3, | 2*k_2 || 5 | 2=2*k_2+arg3, 5=arg6P_8, ), resulting in the new rules: 18, 19. Removing the simple loops: 6. Accelerated all simple loops using metering functions (where possible): Start location: __init 0: f1_0_main_Load -> f499_0_createTree_GT : arg1'=arg1P_1, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 ], cost: 1 1: f1_0_main_Load -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=0, arg4'=arg4P_5, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg3-1 ], cost: 1 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 8: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ 2+arg1P_9<=arg1 && arg2>1 && arg1>2 && arg1P_9>0 ], cost: 1 9: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ 4+arg1P_10<=arg1 && arg2>1 && arg1>3 && arg1P_10>-1 ], cost: 1 10: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg2, arg6'=arg6P_11, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg1P_11>1 && arg2P_11>2 && arg3P_11>-1 ], cost: 1 11: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg2, arg6'=arg6P_12, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg1P_12>1 && arg2P_12>5 && arg3P_12>-1 ], cost: 1 5: f1039_0_createTree_GE -> f499_0_createTree_GT : arg1'=-1+arg2, arg2'=arg5, arg3'=arg6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 7: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=1+arg3, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 17: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=arg4, [ arg4>0 && arg6>1 && arg2-1 && -arg3+arg4>=0 ], cost: -arg3+arg4 18: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=2*k_2+arg3, arg6'=arg6P_8, [ arg4>0 && arg6>1 && arg2-1 && arg6P_8>1 && k_2>=1 && arg4>-1+2*k_2+arg3 ], cost: 2*k_2 19: f1039_0_createTree_GE -> f1039_0_createTree_GE : arg3'=1+2*k_2+arg3, arg6'=arg6P_8, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 && arg6P_8>1 && k_2>=1 && arg4>2*k_2+arg3 ], cost: 1+2*k_2 12: f1400_0_mirror_FieldAccess -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg5, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 3+arg1P_13<=arg1 && arg5>1 && 1+arg1P_13<=arg3 && arg1>2 && arg2>0 && arg3>0 && arg1P_13>-1 ], cost: 1 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, [], cost: 1 Chained accelerated rules (with incoming rules): Start location: __init 0: f1_0_main_Load -> f499_0_createTree_GT : arg1'=arg1P_1, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2>0 && arg1>0 ], cost: 1 1: f1_0_main_Load -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2>0 && arg1P_2<=arg1 && arg1>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 1 4: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=0, arg4'=arg4P_5, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg3-1 ], cost: 1 24: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=1, arg4'=arg4P_5, arg5'=arg2, arg6'=arg6P_8, [ arg1>0 && arg3>0 && arg30 ], cost: 2 25: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=arg4P_5, arg4'=arg4P_5, arg5'=arg2, arg6'=1+arg3, [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_5 26: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=2*k_2, arg4'=arg4P_5, arg5'=arg2, arg6'=arg6P_8, [ arg1>0 && arg3>0 && arg30 && arg6P_8>1 && k_2>=1 && arg4P_5>-1+2*k_2 ], cost: 1+2*k_2 27: f499_0_createTree_GT -> f1039_0_createTree_GE : arg2'=-1+arg1, arg3'=1+2*k_2, arg4'=arg4P_5, arg5'=arg2, arg6'=arg6P_8, [ arg1>0 && arg3>0 && arg30 && arg6P_8>1 && k_2>=1 && arg4P_5>2*k_2 ], cost: 2+2*k_2 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 20: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && arg1>0 && arg1P_9>0 && 2+arg1P_9<=arg2 && 3<=arg2 ], cost: 2 22: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && arg1>0 && arg1P_10>-1 && 4+arg1P_10<=arg2 && 4<=arg2 ], cost: 2 10: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_11, arg2'=arg2P_11, arg3'=arg3P_11, arg4'=arg4P_11, arg5'=arg2, arg6'=arg6P_11, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg1P_11>1 && arg2P_11>2 && arg3P_11>-1 ], cost: 1 11: f1079_0_mirror_NULL -> f1400_0_mirror_FieldAccess : arg1'=arg1P_12, arg2'=arg2P_12, arg3'=arg3P_12, arg4'=arg4P_12, arg5'=arg2, arg6'=arg6P_12, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg1P_12>1 && arg2P_12>5 && arg3P_12>-1 ], cost: 1 5: f1039_0_createTree_GE -> f499_0_createTree_GT : arg1'=-1+arg2, arg2'=arg5, arg3'=arg6, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg4>0 && arg4>arg3 && arg6>1 && arg2-1 ], cost: 1 12: f1400_0_mirror_FieldAccess -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg5, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ 3+arg1P_13<=arg1 && arg5>1 && 1+arg1P_13<=arg3 && arg1>2 && arg2>0 && arg3>0 && arg1P_13>-1 ], cost: 1 21: f1400_0_mirror_FieldAccess -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg5, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg5>1 && arg2>0 && arg1P_9>0 && 2+arg1P_9<=-3+arg1 && 3<=-3+arg1 && 2+arg1P_9<=-1+arg3 && 3<=-1+arg3 ], cost: 2 23: f1400_0_mirror_FieldAccess -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg5, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg5>1 && arg2>0 && arg1P_10>-1 && 4+arg1P_10<=-3+arg1 && 4<=-3+arg1 && 4+arg1P_10<=-1+arg3 && 4<=-1+arg3 ], cost: 2 16: __init -> f1_0_main_Load : arg1'=arg1P_17, arg2'=arg2P_17, arg3'=arg3P_17, arg4'=arg4P_17, arg5'=arg5P_17, arg6'=arg6P_17, [], cost: 1 Eliminated locations (on tree-shaped paths): Start location: __init 30: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=1+arg3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg30 ], cost: 2 31: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg31 && arg6P_8>1 ], cost: 3 32: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg30 && arg6P_8>1 && k_2>=1 && arg4P_5>2*k_2 ], cost: 2+2*k_2 33: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg30 && arg6P_8>1 && k_2>=1 && arg4P_5>1+2*k_2 ], cost: 3+2*k_2 34: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_5 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 20: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && arg1>0 && arg1P_9>0 && 2+arg1P_9<=arg2 && 3<=arg2 ], cost: 2 22: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && arg1>0 && arg1P_10>-1 && 4+arg1P_10<=arg2 && 4<=arg2 ], cost: 2 35: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg2, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg2P_11>2 && 3+arg1P_13<=arg1P_11 && 1+arg1P_13<=arg3P_11 && arg1P_11>2 && arg3P_11>0 && arg1P_13>-1 ], cost: 2 36: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg2P_11>2 && arg1P_9>0 && 2+arg1P_9<=-3+arg1P_11 && 3<=-3+arg1P_11 && 2+arg1P_9<=-1+arg3P_11 && 3<=-1+arg3P_11 ], cost: 3 37: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg2, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg2P_11>2 && arg1P_10>-1 && 4+arg1P_10<=-3+arg1P_11 && 4<=-3+arg1P_11 && 4+arg1P_10<=-1+arg3P_11 && 4<=-1+arg3P_11 ], cost: 3 38: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg2, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg2P_12>5 && 3+arg1P_13<=arg1P_12 && 1+arg1P_13<=arg3P_12 && arg1P_12>2 && arg3P_12>0 && arg1P_13>-1 ], cost: 2 39: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg2P_12>5 && arg1P_9>0 && 2+arg1P_9<=-3+arg1P_12 && 3<=-3+arg1P_12 && 2+arg1P_9<=-1+arg3P_12 && 3<=-1+arg3P_12 ], cost: 3 40: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg2, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg2P_12>5 && arg1P_10>-1 && 4+arg1P_10<=-3+arg1P_12 && 4<=-3+arg1P_12 && 4+arg1P_10<=-1+arg3P_12 && 4<=-1+arg3P_12 ], cost: 3 28: __init -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_17>0 && arg1P_17>0 ], cost: 2 29: __init -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 Applied pruning (of leafs and parallel rules): Start location: __init 30: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=1+arg3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg30 ], cost: 2 31: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg31 && arg6P_8>1 ], cost: 3 32: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg30 && arg6P_8>1 && k_2>=1 && arg4P_5>2*k_2 ], cost: 2+2*k_2 33: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg2'=arg2, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg30 && arg6P_8>1 && k_2>=1 && arg4P_5>1+2*k_2 ], cost: 3+2*k_2 34: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_5 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 20: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && arg1>0 && arg1P_9>0 && 2+arg1P_9<=arg2 && 3<=arg2 ], cost: 2 22: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && arg1>0 && arg1P_10>-1 && 4+arg1P_10<=arg2 && 4<=arg2 ], cost: 2 35: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg2, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg2P_11>2 && 3+arg1P_13<=arg1P_11 && 1+arg1P_13<=arg3P_11 && arg1P_11>2 && arg3P_11>0 && arg1P_13>-1 ], cost: 2 36: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg2, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg2P_11>2 && arg1P_9>0 && 2+arg1P_9<=-3+arg1P_11 && 3<=-3+arg1P_11 && 2+arg1P_9<=-1+arg3P_11 && 3<=-1+arg3P_11 ], cost: 3 37: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg2, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg1P_11<=arg1 && arg2>1 && 2+arg3P_11<=arg1 && arg1>2 && arg2P_11>2 && arg1P_10>-1 && 4+arg1P_10<=-3+arg1P_11 && 4<=-3+arg1P_11 && 4+arg1P_10<=-1+arg3P_11 && 4<=-1+arg3P_11 ], cost: 3 38: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg2, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg2P_12>5 && 3+arg1P_13<=arg1P_12 && 1+arg1P_13<=arg3P_12 && arg1P_12>2 && arg3P_12>0 && arg1P_13>-1 ], cost: 2 40: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg2, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg1P_12<=arg1 && arg2>1 && 2+arg3P_12<=arg1 && arg1>2 && arg2P_12>5 && arg1P_10>-1 && 4+arg1P_10<=-3+arg1P_12 && 4<=-3+arg1P_12 && 4+arg1P_10<=-1+arg3P_12 && 4<=-1+arg3P_12 ], cost: 3 28: __init -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_17>0 && arg1P_17>0 ], cost: 2 29: __init -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 Accelerating simple loops of location 1. [accelerate] Removed some duplicate simple loops Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 30: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg3'=1+arg3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg3 f499_0_createTree_GT : arg1'=-2+arg1, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg31 ], cost: 3 33: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg31 && k_2>=1 ], cost: 3+2*k_2 Accelerated rule 30 with backward acceleration, yielding the new rule 41. [test] deduced pseudo-invariant -arg6P_8+arg3<=0, also trying arg6P_8-arg3<=-1 Accelerated rule 31 with backward acceleration, yielding the new rule 42. Failed to prove monotonicity of the guard of rule 33. [accelerate] Nesting with 3 inner and 3 outer candidates Nested simple loops 33 (outer loop) and 42 (inner loop) with Rule(1 | arg3>0, arg6P_8>1, -arg6P_8+arg3<=0, k_5>=1, arg6P_8=1, k_8>=1, 2-2*(-1+k_8)*k_5-2*k_8+arg1-2*k_5>0, | 3*k_8*k_5+3*k_8+2*k_2*k_8 || 1 | 0=-2*k_8*k_5-2*k_8+arg1, 2=arg6P_8, 3=arg4P_6, 4=arg5P_6, 5=arg6P_6, ), resulting in the new rules: 43, 44. Removing the simple loops: 30 33. Accelerating simple loops of location 4. Simplified some of the simple loops (and removed duplicate rules). Accelerating the following rules: 35: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg2>1 && arg1>2 && arg1P_13>-1 && 3+arg1P_13<=arg1 ], cost: 2 36: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg2>1 && arg1P_9>0 && 5+arg1P_9<=arg1 && 6<=arg1 ], cost: 3 37: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg2>1 && arg1P_10>-1 && 7+arg1P_10<=arg1 && 7<=arg1 ], cost: 3 38: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg2>1 && arg1>2 && arg1P_13>-1 && 1+arg1P_13<=-2+arg1 ], cost: 2 40: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg2>1 && arg1P_10>-1 && 5+arg1P_10<=-2+arg1 && 5<=-2+arg1 ], cost: 3 Failed to prove monotonicity of the guard of rule 35. Failed to prove monotonicity of the guard of rule 36. Failed to prove monotonicity of the guard of rule 37. Failed to prove monotonicity of the guard of rule 38. Failed to prove monotonicity of the guard of rule 40. [accelerate] Nesting with 5 inner and 5 outer candidates Accelerated all simple loops using metering functions (where possible): Start location: __init 31: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2+arg1, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg31 ], cost: 3 34: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_5 41: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2*k_3+arg1, arg3'=arg3+k_3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg3>0 && k_3>=1 && 2-2*k_3+arg1>0 && -1+arg3+k_3 f499_0_createTree_GT : arg1'=arg1-2*k_5, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg3>0 && arg6P_8>1 && -arg6P_8+arg3<=0 && k_5>=1 && 2+arg1-2*k_5>0 && arg6P_8 f499_0_createTree_GT : arg1'=-2*k_8*k_5-2*k_8+arg1, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg3>0 && arg6P_8>1 && -arg6P_8+arg3<=0 && k_5>=1 && arg6P_8=1 && k_8>=1 && 2-2*(-1+k_8)*k_5-2*k_8+arg1-2*k_5>0 ], cost: 3*k_8*k_5+3*k_8+2*k_2*k_8 44: f499_0_createTree_GT -> f499_0_createTree_GT : arg1'=-2-2*k_8*k_5-2*k_8+arg1, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1>0 && arg3>0 && arg31 && k_2>=1 && k_5>=1 && arg6P_8=1 && -2*(-1+k_8)*k_5-2*k_8+arg1-2*k_5>0 ], cost: 3+2*k_2+3*k_8*k_5+3*k_8+2*k_2*k_8 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 20: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && arg1>0 && arg1P_9>0 && 2+arg1P_9<=arg2 && 3<=arg2 ], cost: 2 22: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && arg1>0 && arg1P_10>-1 && 4+arg1P_10<=arg2 && 4<=arg2 ], cost: 2 35: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg2>1 && arg1>2 && arg1P_13>-1 && 3+arg1P_13<=arg1 ], cost: 2 36: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg2>1 && arg1P_9>0 && 5+arg1P_9<=arg1 && 6<=arg1 ], cost: 3 37: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg2>1 && arg1P_10>-1 && 7+arg1P_10<=arg1 && 7<=arg1 ], cost: 3 38: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg2>1 && arg1>2 && arg1P_13>-1 && 1+arg1P_13<=-2+arg1 ], cost: 2 40: f1079_0_mirror_NULL -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg2>1 && arg1P_10>-1 && 5+arg1P_10<=-2+arg1 && 5<=-2+arg1 ], cost: 3 28: __init -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_17>0 && arg1P_17>0 ], cost: 2 29: __init -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 Chained accelerated rules (with incoming rules): Start location: __init 34: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_5 3: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_4, arg2'=arg3, arg3'=arg3P_4, arg4'=arg4P_4, arg5'=arg5P_4, arg6'=arg6P_4, [ arg3>1 && arg1P_4<=arg2 && arg1>0 && arg2>-1 && arg1P_4>-1 ], cost: 1 20: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && arg1>0 && arg1P_9>0 && 2+arg1P_9<=arg2 && 3<=arg2 ], cost: 2 22: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && arg1>0 && arg1P_10>-1 && 4+arg1P_10<=arg2 && 4<=arg2 ], cost: 2 50: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg3, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg3>1 && arg1>0 && arg1P_13>-1 && 3<=arg2 && 3+arg1P_13<=arg2 ], cost: 3 51: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg3, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg3>1 && arg1>0 && arg1P_13>-1 && 3<=-2+arg2 && 3+arg1P_13<=-2+arg2 ], cost: 4 52: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg3, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg3>1 && arg1>0 && arg1P_13>-1 && 3<=-4+arg2 && 3+arg1P_13<=-4+arg2 ], cost: 4 53: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && arg1>0 && arg1P_9>0 && 5+arg1P_9<=arg2 && 6<=arg2 ], cost: 4 54: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_9, arg2'=arg3, arg3'=arg3P_9, arg4'=arg4P_9, arg5'=arg5P_9, arg6'=arg6P_9, [ arg3>1 && arg1>0 && arg1P_9>0 && 5+arg1P_9<=-4+arg2 && 6<=-4+arg2 ], cost: 5 55: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && arg1>0 && arg1P_10>-1 && 7+arg1P_10<=arg2 && 7<=arg2 ], cost: 4 56: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && arg1>0 && arg1P_10>-1 && 7+arg1P_10<=-2+arg2 && 7<=-2+arg2 ], cost: 5 57: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg3, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg3>1 && arg1>0 && arg1P_13>-1 && 3<=arg2 && 3+arg1P_13<=arg2 ], cost: 3 58: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg3, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg3>1 && arg1>0 && arg1P_13>-1 && 3<=-2+arg2 && 3+arg1P_13<=-2+arg2 ], cost: 4 59: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_13, arg2'=arg3, arg3'=arg3P_13, arg4'=arg4P_13, arg5'=arg5P_13, arg6'=arg6P_13, [ arg3>1 && arg1>0 && arg1P_13>-1 && 3<=-4+arg2 && 3+arg1P_13<=-4+arg2 ], cost: 4 60: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && arg1>0 && arg1P_10>-1 && 7+arg1P_10<=arg2 && 7<=arg2 ], cost: 4 61: f1061_0_main_InvokeMethod -> f1079_0_mirror_NULL : arg1'=arg1P_10, arg2'=arg3, arg3'=arg3P_10, arg4'=arg4P_10, arg5'=arg5P_10, arg6'=arg6P_10, [ arg3>1 && arg1>0 && arg1P_10>-1 && 7+arg1P_10<=-2+arg2 && 7<=-2+arg2 ], cost: 5 28: __init -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_17>0 && arg1P_17>0 ], cost: 2 29: __init -> f1061_0_main_InvokeMethod : arg1'=arg1P_2, arg2'=arg2P_2, arg3'=arg3P_2, arg4'=arg4P_2, arg5'=arg5P_2, arg6'=arg6P_2, [ arg2P_17>0 && arg1P_2<=arg1P_17 && arg1P_17>0 && arg1P_2>0 && arg2P_2>-1 ], cost: 2 45: __init -> f499_0_createTree_GT : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>0 && 11 ], cost: 5 46: __init -> f499_0_createTree_GT : arg1'=-2*k_3+arg1P_1, arg2'=arg2P_17, arg3'=1+k_3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>-1 && arg2P_17>0 && k_3>=1 && 2-2*k_3+arg1P_1>0 && k_3 f499_0_createTree_GT : arg1'=arg1P_1-2*k_5, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>-1 && arg2P_17>0 && arg6P_8>1 && k_5>=1 && 2+arg1P_1-2*k_5>0 && arg6P_8 f499_0_createTree_GT : arg1'=-2*k_8*k_5-2*k_8+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>-1 && arg2P_17>0 && arg6P_8>1 && k_5>=1 && arg6P_8=1 && k_8>=1 && 2-2*(-1+k_8)*k_5-2*k_8+arg1P_1-2*k_5>0 ], cost: 2+3*k_8*k_5+3*k_8+2*k_2*k_8 49: __init -> f499_0_createTree_GT : arg1'=-2-2*k_8*k_5-2*k_8+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>0 && 11 && k_2>=1 && k_5>=1 && arg6P_8=1 && -2*(-1+k_8)*k_5-2*k_8+arg1P_1-2*k_5>0 ], cost: 5+2*k_2+3*k_8*k_5+3*k_8+2*k_2*k_8 Removed unreachable locations (and leaf rules with constant cost): Start location: __init 34: f499_0_createTree_GT -> [11] : [ arg1>0 && arg3>0 && arg30 ], cost: 1+arg4P_5 28: __init -> f499_0_createTree_GT : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_1>-1 && arg2P_17>0 && arg1P_17>0 ], cost: 2 45: __init -> f499_0_createTree_GT : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>0 && 11 ], cost: 5 46: __init -> f499_0_createTree_GT : arg1'=-2*k_3+arg1P_1, arg2'=arg2P_17, arg3'=1+k_3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>-1 && arg2P_17>0 && k_3>=1 && 2-2*k_3+arg1P_1>0 && k_3 f499_0_createTree_GT : arg1'=arg1P_1-2*k_5, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>-1 && arg2P_17>0 && arg6P_8>1 && k_5>=1 && 2+arg1P_1-2*k_5>0 && arg6P_8 f499_0_createTree_GT : arg1'=-2*k_8*k_5-2*k_8+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>-1 && arg2P_17>0 && arg6P_8>1 && k_5>=1 && arg6P_8=1 && k_8>=1 && 2-2*(-1+k_8)*k_5-2*k_8+arg1P_1-2*k_5>0 ], cost: 2+3*k_8*k_5+3*k_8+2*k_2*k_8 49: __init -> f499_0_createTree_GT : arg1'=-2-2*k_8*k_5-2*k_8+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>0 && 11 && k_2>=1 && k_5>=1 && arg6P_8=1 && -2*(-1+k_8)*k_5-2*k_8+arg1P_1-2*k_5>0 ], cost: 5+2*k_2+3*k_8*k_5+3*k_8+2*k_2*k_8 Eliminated locations (on tree-shaped paths): Start location: __init 62: __init -> [11] : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_17>0 && arg1P_1>0 && 10 ], cost: 3+arg4P_5 63: __init -> [11] : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 11 && -2+arg1P_1>0 && arg6P_80 ], cost: 6+arg4P_5 64: __init -> [11] : arg1'=-2*k_3+arg1P_1, arg2'=arg2P_17, arg3'=1+k_3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>-1 && arg2P_17>0 && k_3>=1 && -2*k_3+arg1P_1>0 && 1+k_30 ], cost: 3+arg4P_5+2*k_3 65: __init -> [11] : arg1'=arg1P_1-2*k_5, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>-1 && arg2P_17>0 && arg6P_8>1 && k_5>=1 && arg6P_80 && arg4P_5>0 ], cost: 3+arg4P_5+3*k_5 66: __init -> [11] : arg1'=-2*k_8*k_5-2*k_8+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>-1 && arg2P_17>0 && arg6P_8>1 && k_5>=1 && arg6P_8=1 && k_8>=1 && -2*k_8*k_5-2*k_8+arg1P_1>0 && arg4P_5>0 ], cost: 3+3*k_8*k_5+arg4P_5+3*k_8+2*k_2*k_8 67: __init -> [11] : arg1'=-2-2*k_8*k_5-2*k_8+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>0 && 11 && k_2>=1 && k_5>=1 && arg6P_8=1 && -2-2*k_8*k_5-2*k_8+arg1P_1>0 && arg4P_5>0 ], cost: 6+2*k_2+3*k_8*k_5+arg4P_5+3*k_8+2*k_2*k_8 ### Computing asymptotic complexity ### Fully simplified ITS problem Start location: __init 62: __init -> [11] : arg1'=arg1P_1, arg2'=arg2P_17, arg3'=1, arg4'=arg4P_1, arg5'=arg5P_1, arg6'=arg6P_1, [ arg1P_17>0 && arg1P_1>0 && 10 ], cost: 3+arg4P_5 63: __init -> [11] : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ 11 && -2+arg1P_1>0 && arg6P_80 ], cost: 6+arg4P_5 64: __init -> [11] : arg1'=-2*k_3+arg1P_1, arg2'=arg2P_17, arg3'=1+k_3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>-1 && arg2P_17>0 && k_3>=1 && -2*k_3+arg1P_1>0 && 1+k_30 ], cost: 3+arg4P_5+2*k_3 65: __init -> [11] : arg1'=arg1P_1-2*k_5, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>-1 && arg2P_17>0 && arg6P_8>1 && k_5>=1 && arg6P_80 && arg4P_5>0 ], cost: 3+arg4P_5+3*k_5 66: __init -> [11] : arg1'=-2*k_8*k_5-2*k_8+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>-1 && arg2P_17>0 && arg6P_8>1 && k_5>=1 && arg6P_8=1 && k_8>=1 && -2*k_8*k_5-2*k_8+arg1P_1>0 && arg4P_5>0 ], cost: 3+3*k_8*k_5+arg4P_5+3*k_8+2*k_2*k_8 67: __init -> [11] : arg1'=-2-2*k_8*k_5-2*k_8+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg1P_1>0 && 11 && k_2>=1 && k_5>=1 && arg6P_8=1 && -2-2*k_8*k_5-2*k_8+arg1P_1>0 && arg4P_5>0 ], cost: 6+2*k_2+3*k_8*k_5+arg4P_5+3*k_8+2*k_2*k_8 Computing asymptotic complexity for rule 66 Simplified the guard: 66: __init -> [11] : arg1'=-2*k_8*k_5-2*k_8+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg6P_8>1 && k_5>=1 && arg6P_8=1 && k_8>=1 && -2*k_8*k_5-2*k_8+arg1P_1>0 && arg4P_5>0 ], cost: 3+3*k_8*k_5+arg4P_5+3*k_8+2*k_2*k_8 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 67 Simplified the guard: 67: __init -> [11] : arg1'=-2-2*k_8*k_5-2*k_8+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg6P_8>1 && k_2>=1 && k_5>=1 && arg6P_8=1 && -2-2*k_8*k_5-2*k_8+arg1P_1>0 && arg4P_5>0 ], cost: 6+2*k_2+3*k_8*k_5+arg4P_5+3*k_8+2*k_2*k_8 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 62 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 63 Simplified the guard: 63: __init -> [11] : arg1'=-2+arg1P_1, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg6P_8>1 && -2+arg1P_1>0 && arg6P_80 ], cost: 6+arg4P_5 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 64 Simplified the guard: 64: __init -> [11] : arg1'=-2*k_3+arg1P_1, arg2'=arg2P_17, arg3'=1+k_3, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ k_3>=1 && -2*k_3+arg1P_1>0 && 1+k_30 ], cost: 3+arg4P_5+2*k_3 Resulting cost 0 has complexity: Unknown Computing asymptotic complexity for rule 65 Simplified the guard: 65: __init -> [11] : arg1'=arg1P_1-2*k_5, arg2'=arg2P_17, arg3'=arg6P_8, arg4'=arg4P_6, arg5'=arg5P_6, arg6'=arg6P_6, [ arg6P_8>1 && k_5>=1 && arg6P_80 && arg4P_5>0 ], cost: 3+arg4P_5+3*k_5 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),?)