LTS Termination Proof

by T2Cert

Input

Integer Transition System

Proof

1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
1 58 1: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0
3 65 3: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0
5 72 5: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0
6 79 6: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0
9 86 9: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0
11 93 11: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0
13 100 13: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0
19 107 19: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0
and for every transition t, a duplicate t is considered.

2 Transition Removal

We remove transitions 5, 8, 16, 24, 27, 30, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57 using the following ranking functions, which are bounded by −37.

25: 0
24: 0
15: 0
2: 0
3: 0
4: 0
5: 0
7: 0
0: 0
1: 0
6: 0
23: 0
8: 0
9: 0
10: 0
11: 0
12: 0
13: 0
14: 0
16: 0
17: 0
18: 0
19: 0
20: 0
21: 0
22: 0
25: −10
24: −11
15: −12
2: −13
3: −13
4: −13
5: −13
7: −13
3_var_snapshot: −13
3*: −13
5_var_snapshot: −13
5*: −13
0: −18
1: −18
1_var_snapshot: −18
1*: −18
6: −21
23: −21
6_var_snapshot: −21
6*: −21
8: −24
9: −24
10: −24
11: −24
12: −24
13: −24
14: −24
16: −24
17: −24
18: −24
19: −24
20: −24
9_var_snapshot: −24
9*: −24
11_var_snapshot: −24
11*: −24
13_var_snapshot: −24
13*: −24
19_var_snapshot: −24
19*: −24
21: −34
22: −35

3 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

1* 61 1: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

4 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

1 59 1_var_snapshot: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

5 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

3* 68 3: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

6 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

3 66 3_var_snapshot: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

7 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

5* 75 5: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

8 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

5 73 5_var_snapshot: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

9 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

6* 82 6: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

10 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

6 80 6_var_snapshot: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

11 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

9* 89 9: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

12 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

9 87 9_var_snapshot: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

13 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

11* 96 11: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

14 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

11 94 11_var_snapshot: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

15 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

13* 103 13: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

16 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

13 101 13_var_snapshot: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

17 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

19* 110 19: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

18 Location Addition

The following skip-transition is inserted and corresponding redirections w.r.t. the old location are performed.

19 108 19_var_snapshot: x7_post + x7_post ≤ 0x7_postx7_post ≤ 0x7_0 + x7_0 ≤ 0x7_0x7_0 ≤ 0x6_post + x6_post ≤ 0x6_postx6_post ≤ 0x6_0 + x6_0 ≤ 0x6_0x6_0 ≤ 0x5_post + x5_post ≤ 0x5_postx5_post ≤ 0x5_0 + x5_0 ≤ 0x5_0x5_0 ≤ 0x4_post + x4_post ≤ 0x4_postx4_post ≤ 0x4_0 + x4_0 ≤ 0x4_0x4_0 ≤ 0x3_post + x3_post ≤ 0x3_postx3_post ≤ 0x3_0 + x3_0 ≤ 0x3_0x3_0 ≤ 0x2_post + x2_post ≤ 0x2_postx2_post ≤ 0x2_0 + x2_0 ≤ 0x2_0x2_0 ≤ 0x1_post + x1_post ≤ 0x1_postx1_post ≤ 0x1_0 + x1_0 ≤ 0x1_0x1_0 ≤ 0x0_post + x0_post ≤ 0x0_postx0_post ≤ 0x0_0 + x0_0 ≤ 0x0_0x0_0 ≤ 0oldX9_post + oldX9_post ≤ 0oldX9_postoldX9_post ≤ 0oldX9_0 + oldX9_0 ≤ 0oldX9_0oldX9_0 ≤ 0oldX8_post + oldX8_post ≤ 0oldX8_postoldX8_post ≤ 0oldX8_0 + oldX8_0 ≤ 0oldX8_0oldX8_0 ≤ 0oldX7_post + oldX7_post ≤ 0oldX7_postoldX7_post ≤ 0oldX7_0 + oldX7_0 ≤ 0oldX7_0oldX7_0 ≤ 0oldX6_post + oldX6_post ≤ 0oldX6_postoldX6_post ≤ 0oldX6_0 + oldX6_0 ≤ 0oldX6_0oldX6_0 ≤ 0oldX5_post + oldX5_post ≤ 0oldX5_postoldX5_post ≤ 0oldX5_0 + oldX5_0 ≤ 0oldX5_0oldX5_0 ≤ 0oldX4_post + oldX4_post ≤ 0oldX4_postoldX4_post ≤ 0oldX4_0 + oldX4_0 ≤ 0oldX4_0oldX4_0 ≤ 0oldX3_post + oldX3_post ≤ 0oldX3_postoldX3_post ≤ 0oldX3_0 + oldX3_0 ≤ 0oldX3_0oldX3_0 ≤ 0oldX2_post + oldX2_post ≤ 0oldX2_postoldX2_post ≤ 0oldX2_0 + oldX2_0 ≤ 0oldX2_0oldX2_0 ≤ 0oldX1_post + oldX1_post ≤ 0oldX1_postoldX1_post ≤ 0oldX1_0 + oldX1_0 ≤ 0oldX1_0oldX1_0 ≤ 0oldX15_post + oldX15_post ≤ 0oldX15_postoldX15_post ≤ 0oldX15_0 + oldX15_0 ≤ 0oldX15_0oldX15_0 ≤ 0oldX14_post + oldX14_post ≤ 0oldX14_postoldX14_post ≤ 0oldX14_0 + oldX14_0 ≤ 0oldX14_0oldX14_0 ≤ 0oldX13_post + oldX13_post ≤ 0oldX13_postoldX13_post ≤ 0oldX13_0 + oldX13_0 ≤ 0oldX13_0oldX13_0 ≤ 0oldX12_post + oldX12_post ≤ 0oldX12_postoldX12_post ≤ 0oldX12_0 + oldX12_0 ≤ 0oldX12_0oldX12_0 ≤ 0oldX11_post + oldX11_post ≤ 0oldX11_postoldX11_post ≤ 0oldX11_0 + oldX11_0 ≤ 0oldX11_0oldX11_0 ≤ 0oldX10_post + oldX10_post ≤ 0oldX10_postoldX10_post ≤ 0oldX10_0 + oldX10_0 ≤ 0oldX10_0oldX10_0 ≤ 0oldX0_post + oldX0_post ≤ 0oldX0_postoldX0_post ≤ 0oldX0_0 + oldX0_0 ≤ 0oldX0_0oldX0_0 ≤ 0

19 SCC Decomposition

We consider subproblems for each of the 4 SCC(s) of the program graph.

19.1 SCC Subproblem 1/4

Here we consider the SCC { 0, 1, 1_var_snapshot, 1* }.

19.1.1 Transition Removal

We remove transition 6 using the following ranking functions, which are bounded by −1.

0: −1 + 4⋅x0_0 − 4⋅x2_0
1: 1 + 4⋅x0_0 − 4⋅x2_0
1_var_snapshot: 4⋅x0_0 − 4⋅x2_0
1*: 2 + 4⋅x0_0 − 4⋅x2_0

19.1.2 Transition Removal

We remove transitions 61, 0 using the following ranking functions, which are bounded by −3.

0: 0
1: −2
1_var_snapshot: −3
1*: −1

19.1.3 Transition Removal

We remove transition 59 using the following ranking functions, which are bounded by −1.

0: 0
1: 0
1_var_snapshot: −1
1*: 0

19.1.4 Splitting Cut-Point Transitions

We consider 1 subproblems corresponding to sets of cut-point transitions as follows.

19.1.4.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 58.

19.1.4.1.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

19.2 SCC Subproblem 2/4

Here we consider the SCC { 2, 3, 4, 5, 7, 3_var_snapshot, 3*, 5_var_snapshot, 5* }.

19.2.1 Transition Removal

We remove transition 9 using the following ranking functions, which are bounded by −1.

2: −4 + 7⋅x0_0 − 7⋅x1_0
3: 1 + 7⋅x0_0 − 7⋅x1_0
4: −2 + 7⋅x0_0 − 7⋅x1_0
5: −2 + 7⋅x0_0 − 7⋅x1_0
7: −1 + 7⋅x0_0 − 7⋅x1_0
3_var_snapshot: 7⋅x0_0 − 7⋅x1_0
3*: 2 + 7⋅x0_0 − 7⋅x1_0
5_var_snapshot: −2 + 7⋅x0_0 − 7⋅x1_0
5*: −2 + 7⋅x0_0 − 7⋅x1_0

19.2.2 Transition Removal

We remove transition 7 using the following ranking functions, which are bounded by −1.

2: 4⋅x1_0 − 4⋅x2_0
3: −4 + 2⋅oldX1_post − 2⋅oldX2_0 − 2⋅oldX2_post + 2⋅x1_0
4: 4⋅x1_0 − 4⋅x2_0
5: 2 + 4⋅x1_0 − 4⋅x2_0
7: 0
3_var_snapshot: −5 + 2⋅oldX1_post − 2⋅oldX2_0 − 2⋅oldX2_post + 2⋅x1_0
3*: −3 + 2⋅oldX1_post − 2⋅oldX2_0 − 2⋅oldX2_post + 2⋅x1_0
5_var_snapshot: 1 + 4⋅x1_0 − 4⋅x2_0
5*: 3 + 4⋅x1_0 − 4⋅x2_0

19.2.3 Transition Removal

We remove transition 4 using the following ranking functions, which are bounded by −5.

2: −1 + 4⋅x0_0 − 4⋅x2_0
3: −3 + 2⋅oldX0_post − 2⋅oldX2_0 − 2⋅oldX2_post + 2⋅x0_0
4: −1 + 4⋅x0_0 − 4⋅x2_0
5: 1 + 4⋅x0_0 − 4⋅x2_0
7: 0
3_var_snapshot: −4 + 2⋅oldX0_post − 2⋅oldX2_0 − 2⋅oldX2_post + 2⋅x0_0
3*: −2 + 2⋅oldX0_post − 2⋅oldX2_0 − 2⋅oldX2_post + 2⋅x0_0
5_var_snapshot: 4⋅x0_0 − 4⋅x2_0
5*: 2 + 4⋅x0_0 − 4⋅x2_0

19.2.4 Transition Removal

We remove transitions 66, 68, 73, 75, 1, 2, 3 using the following ranking functions, which are bounded by −4.

2: −1
3: −3
4: 3
5: 1
7: 0
3_var_snapshot: −4
3*: −2
5_var_snapshot: 0
5*: 2

19.2.5 Splitting Cut-Point Transitions

We consider 2 subproblems corresponding to sets of cut-point transitions as follows.

19.2.5.1 Cut-Point Subproblem 1/2

Here we consider cut-point transition 65.

19.2.5.1.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

19.2.5.2 Cut-Point Subproblem 2/2

Here we consider cut-point transition 72.

19.2.5.2.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

19.3 SCC Subproblem 3/4

Here we consider the SCC { 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 19, 20, 9_var_snapshot, 9*, 11_var_snapshot, 11*, 13_var_snapshot, 13*, 19_var_snapshot, 19* }.

19.3.1 Transition Removal

We remove transition 28 using the following ranking functions, which are bounded by 3.

8: −1 + 4⋅x0_0 − 4⋅x4_0
9: −1 + 4⋅x0_0 − 4⋅x4_0
10: −1 + 4⋅x0_0 − 4⋅x4_0
11: −1 + 4⋅x0_0 − 4⋅x4_0
12: −1 + 4⋅x0_0 − 4⋅x4_0
13: −1 + 4⋅x0_0 − 4⋅x4_0
14: −1 + 4⋅x0_0 − 4⋅x4_0
16: −1 + 4⋅x0_0 − 4⋅x4_0
17: −1 + 4⋅x0_0 − 4⋅x4_0
18: −2 + 4⋅x0_0 − 4⋅x4_0
19: 1 + 4⋅x0_0 − 4⋅x4_0
20: −1 + 4⋅x0_0 − 4⋅x4_0
9_var_snapshot: −1 + 4⋅x0_0 − 4⋅x4_0
9*: −1 + 4⋅x0_0 − 4⋅x4_0
11_var_snapshot: −1 + 4⋅x0_0 − 4⋅x4_0
11*: −1 + 4⋅x0_0 − 4⋅x4_0
13_var_snapshot: −1 + 4⋅x0_0 − 4⋅x4_0
13*: −1 + 4⋅x0_0 − 4⋅x4_0
19_var_snapshot: 4⋅x0_0 − 4⋅x4_0
19*: 2 + 4⋅x0_0 − 4⋅x4_0

19.3.2 Transition Removal

We remove transition 26 using the following ranking functions, which are bounded by −1.

8: −4 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
9: 1 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
10: −3 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
11: −3 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
12: −1 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
13: −1 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
14: −1 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
16: −2 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
17: −1 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
18: −1 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
19: 2 + 3⋅oldX0_post − 3⋅oldX4_post − 4⋅oldX5_0 − 3⋅oldX5_post + 4⋅x0_0 − 4⋅x4_0
20: −1 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
9_var_snapshot: 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
9*: 2 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
11_var_snapshot: −3 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
11*: −3 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
13_var_snapshot: −1 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
13*: −1 + 7⋅x0_0 − 7⋅x4_0 − 7⋅x5_0
19_var_snapshot: 1 + 3⋅oldX0_post − 3⋅oldX4_post − 4⋅oldX5_0 − 3⋅oldX5_post + 4⋅x0_0 − 4⋅x4_0
19*: 3 + 3⋅oldX0_post − 3⋅oldX4_post − 4⋅oldX5_0 − 3⋅oldX5_post + 4⋅x0_0 − 4⋅x4_0

19.3.3 Transition Removal

We remove transitions 87, 89, 108, 110, 10, 12, 17, 20, 22, 23, 25 using the following ranking functions, which are bounded by −11.

8: −4
9: −6
10: −3
11: −3
12: −1
13: −1
14: −1
16: −2
17: −1
18: −8
19: −10
20: 0
9_var_snapshot: −7
9*: −5
11_var_snapshot: −3
11*: −3
13_var_snapshot: −1
13*: −1
19_var_snapshot: −11
19*: −9

19.3.4 Transition Removal

We remove transition 21 using the following ranking functions, which are bounded by −1.

8: 0
9: 0
10: 0
11: 0
12: −3 + 6⋅x4_0 + 6⋅x5_0 − 6⋅x6_0
13: 1 + 6⋅x4_0 + 6⋅x5_0 − 6⋅x6_0
14: −2 + 6⋅x4_0 + 6⋅x5_0 − 6⋅x6_0
16: 0
17: −1 + 6⋅x4_0 + 6⋅x5_0 − 6⋅x6_0
18: 0
19: 0
20: 0
9_var_snapshot: 0
9*: 0
11_var_snapshot: 0
11*: 0
13_var_snapshot: 6⋅x4_0 + 6⋅x5_0 − 6⋅x6_0
13*: 2 + 6⋅x4_0 + 6⋅x5_0 − 6⋅x6_0
19_var_snapshot: 0
19*: 0

19.3.5 Transition Removal

We remove transitions 101, 103, 13, 14, 15, 18, 19 using the following ranking functions, which are bounded by −5.

8: 0
9: 0
10: −1 + 3⋅x4_0 + 3⋅x5_0 − 3⋅x7_0
11: 1 + 3⋅x4_0 + 3⋅x5_0 − 3⋅x7_0
12: −2
13: −4
14: −1
16: 0
17: 0
18: 0
19: 0
20: 0
9_var_snapshot: 0
9*: 0
11_var_snapshot: 3⋅x4_0 + 3⋅x5_0 − 3⋅x7_0
11*: 1 + 3⋅x4_0 + 3⋅x5_0 − 3⋅x7_0
13_var_snapshot: −5
13*: −3
19_var_snapshot: 0
19*: 0

19.3.6 Transition Removal

We remove transitions 94, 96, 11 using the following ranking functions, which are bounded by −3.

8: 0
9: 0
10: 0
11: −2
12: 0
13: 0
14: 0
16: 0
17: 0
18: 0
19: 0
20: 0
9_var_snapshot: 0
9*: 0
11_var_snapshot: −3
11*: −1
13_var_snapshot: 0
13*: 0
19_var_snapshot: 0
19*: 0

19.3.7 Splitting Cut-Point Transitions

We consider 4 subproblems corresponding to sets of cut-point transitions as follows.

19.3.7.1 Cut-Point Subproblem 1/4

Here we consider cut-point transition 86.

19.3.7.1.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

19.3.7.2 Cut-Point Subproblem 2/4

Here we consider cut-point transition 93.

19.3.7.2.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

19.3.7.3 Cut-Point Subproblem 3/4

Here we consider cut-point transition 100.

19.3.7.3.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

19.3.7.4 Cut-Point Subproblem 4/4

Here we consider cut-point transition 107.

19.3.7.4.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

19.4 SCC Subproblem 4/4

Here we consider the SCC { 6, 23, 6_var_snapshot, 6* }.

19.4.1 Transition Removal

We remove transition 31 using the following ranking functions, which are bounded by −5.

6: 1 + 4⋅x0_0 − 4⋅x3_0
23: −1 + 4⋅x0_0 − 4⋅x3_0
6_var_snapshot: 4⋅x0_0 − 4⋅x3_0
6*: 2 + 4⋅x0_0 − 4⋅x3_0

19.4.2 Transition Removal

We remove transitions 82, 29 using the following ranking functions, which are bounded by −1.

6: 0
23: 2
6_var_snapshot: −1
6*: 1

19.4.3 Transition Removal

We remove transition 80 using the following ranking functions, which are bounded by 0.

6: 1
23: 0
6_var_snapshot: 0
6*: 0

19.4.4 Splitting Cut-Point Transitions

We consider 1 subproblems corresponding to sets of cut-point transitions as follows.

19.4.4.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 79.

19.4.4.1.1 Splitting Cut-Point Transitions

There remain no cut-point transition to consider. Hence the cooperation termination is trivial.

Tool configuration

T2Cert