LTS Termination Proof

by T2Cert

Input

Integer Transition System

Proof

1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
2 71 2: x6_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 ≤ 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 78 4: x6_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 ≤ 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 85 6: x6_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 ≤ 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 92 11: x6_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 ≤ 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 99 15: x6_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 ≤ 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
17 106 17: x6_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 ≤ 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
19 113 19: x6_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 ≤ 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
26 120 26: x6_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 ≤ 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 0, 3, 6, 9, 11, 12, 13, 16, 17, 19, 22, 25, 26, 29, 31, 32, 33, 34, 37, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70 using the following ranking functions, which are bounded by −61.

30: 0
28: 0
29: 0
20: 0
5: 0
6: 0
7: 0
8: 0
3: 0
4: 0
23: 0
18: 0
19: 0
21: 0
22: 0
16: 0
17: 0
14: 0
15: 0
13: 0
11: 0
12: 0
9: 0
10: 0
0: 0
2: 0
1: 0
26: 0
27: 0
24: 0
25: 0
30: −22
28: −23
29: −24
20: −25
5: −26
6: −26
7: −26
6_var_snapshot: −26
6*: −26
8: −29
3: −30
4: −30
4_var_snapshot: −30
4*: −30
23: −33
18: −34
19: −34
21: −34
19_var_snapshot: −34
19*: −34
22: −37
16: −38
17: −38
17_var_snapshot: −38
17*: −38
14: −41
15: −41
15_var_snapshot: −41
15*: −41
13: −44
11: −45
12: −45
11_var_snapshot: −45
11*: −45
9: −48
10: −49
0: −50
2: −50
2_var_snapshot: −50
2*: −50
1: −51
26: −52
27: −52
26_var_snapshot: −52
26*: −52
24: −55
25: −56

3 Location Addition

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

2* 74 2: x6_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 ≤ 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.

2 72 2_var_snapshot: x6_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 ≤ 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.

4* 81 4: x6_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 ≤ 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.

4 79 4_var_snapshot: x6_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 ≤ 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.

6* 88 6: x6_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 ≤ 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.

6 86 6_var_snapshot: x6_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 ≤ 0</