LTS Termination Proof

by T2Cert

Input

Integer Transition System

Initial Location: 12

Transitions: (pre-variables and post-variables)

0	0	1:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ − oldX0_post + x0_post ≤ 0 ∧ oldX0_post − x0_post ≤ 0 ∧ − oldX1_post − oldX3_post + x1_post ≤ 0 ∧ oldX1_post + oldX3_post − x1_post ≤ 0 ∧ 1 − oldX2_post + x2_post ≤ 0 ∧ −1 + oldX2_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ oldX3_0 − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0
1	1	2:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ 1 + oldX2_post ≤ 0 ∧ − oldX0_post + x0_post ≤ 0 ∧ oldX0_post − x0_post ≤ 0 ∧ − oldX1_post + x1_post ≤ 0 ∧ oldX1_post − x1_post ≤ 0 ∧ − oldX2_post + x2_post ≤ 0 ∧ oldX2_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0
1	2	0:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ − oldX2_post ≤ 0 ∧ − oldX0_post + x0_post ≤ 0 ∧ oldX0_post − x0_post ≤ 0 ∧ − oldX1_post + x1_post ≤ 0 ∧ oldX1_post − x1_post ≤ 0 ∧ − oldX2_post + x2_post ≤ 0 ∧ oldX2_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0
3	3	1:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ − oldX0_post + x0_post ≤ 0 ∧ oldX0_post − x0_post ≤ 0 ∧ x1_post ≤ 0 ∧ − x1_post ≤ 0 ∧ − oldX0_post + x2_post ≤ 0 ∧ oldX0_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0
4	4	5:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ − oldX3_post + x0_post ≤ 0 ∧ oldX3_post − x0_post ≤ 0 ∧ − oldX4_post + x1_post ≤ 0 ∧ oldX4_post − x1_post ≤ 0 ∧ − oldX5_post + x2_post ≤ 0 ∧ oldX5_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ oldX3_0 − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_post ≤ 0 ∧ oldX4_0 − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_post ≤ 0 ∧ oldX5_0 − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0
4	5	6:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ 1 − oldX0_post + x0_post ≤ 0 ∧ −1 + oldX0_post − x0_post ≤ 0 ∧ − oldX3_post + x1_post ≤ 0 ∧ oldX3_post − x1_post ≤ 0 ∧ − oldX4_post + x2_post ≤ 0 ∧ oldX4_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ oldX3_0 − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_post ≤ 0 ∧ oldX4_0 − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0
7	6	5:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ − oldX3_post + x0_post ≤ 0 ∧ oldX3_post − x0_post ≤ 0 ∧ − oldX4_post + x1_post ≤ 0 ∧ oldX4_post − x1_post ≤ 0 ∧ − oldX5_post + x2_post ≤ 0 ∧ oldX5_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ oldX3_0 − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_post ≤ 0 ∧ oldX4_0 − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_post ≤ 0 ∧ oldX5_0 − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0
8	7	4:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ 1 − oldX0_post ≤ 0 ∧ − oldX0_post + x0_post ≤ 0 ∧ oldX0_post − x0_post ≤ 0 ∧ − oldX3_post + x1_post ≤ 0 ∧ oldX3_post − x1_post ≤ 0 ∧ − oldX4_post + x2_post ≤ 0 ∧ oldX4_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ oldX3_0 − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_post ≤ 0 ∧ oldX4_0 − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0
8	8	7:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ oldX0_post ≤ 0 ∧ − oldX0_post + x0_post ≤ 0 ∧ oldX0_post − x0_post ≤ 0 ∧ − oldX3_post + x1_post ≤ 0 ∧ oldX3_post − x1_post ≤ 0 ∧ − oldX4_post + x2_post ≤ 0 ∧ oldX4_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ oldX3_0 − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_post ≤ 0 ∧ oldX4_0 − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0
2	9	9:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ − oldX3_post + x0_post ≤ 0 ∧ oldX3_post − x0_post ≤ 0 ∧ − oldX4_post + x1_post ≤ 0 ∧ oldX4_post − x1_post ≤ 0 ∧ − oldX5_post + x2_post ≤ 0 ∧ oldX5_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ oldX3_0 − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_post ≤ 0 ∧ oldX4_0 − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_post ≤ 0 ∧ oldX5_0 − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0
6	10	8:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ − oldX0_post + x0_post ≤ 0 ∧ oldX0_post − x0_post ≤ 0 ∧ − oldX3_post + x1_post ≤ 0 ∧ oldX3_post − x1_post ≤ 0 ∧ − oldX4_post + x2_post ≤ 0 ∧ oldX4_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ oldX3_0 − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_post ≤ 0 ∧ oldX4_0 − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0
10	11	11:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ − oldX3_post + x0_post ≤ 0 ∧ oldX3_post − x0_post ≤ 0 ∧ − oldX4_post + x1_post ≤ 0 ∧ oldX4_post − x1_post ≤ 0 ∧ − oldX5_post + x2_post ≤ 0 ∧ oldX5_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ oldX3_0 − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_post ≤ 0 ∧ oldX4_0 − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_post ≤ 0 ∧ oldX5_0 − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0
10	12	3:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ oldX0_post − x0_0 ≤ 0 ∧ − oldX0_post + x0_0 ≤ 0 ∧ oldX1_post − x1_0 ≤ 0 ∧ − oldX1_post + x1_0 ≤ 0 ∧ oldX2_post − x2_0 ≤ 0 ∧ − oldX2_post + x2_0 ≤ 0 ∧ − oldX0_post + x0_post ≤ 0 ∧ oldX0_post − x0_post ≤ 0 ∧ − oldX3_post + x1_post ≤ 0 ∧ oldX3_post − x1_post ≤ 0 ∧ − oldX4_post + x2_post ≤ 0 ∧ oldX4_post − x2_post ≤ 0 ∧ oldX0_0 − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_post ≤ 0 ∧ oldX1_0 − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_post ≤ 0 ∧ oldX2_0 − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_post ≤ 0 ∧ oldX3_0 − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_post ≤ 0 ∧ oldX4_0 − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_post ≤ 0 ∧ x0_0 − x0_post ≤ 0 ∧ − x0_0 + x0_post ≤ 0 ∧ x1_0 − x1_post ≤ 0 ∧ − x1_0 + x1_post ≤ 0 ∧ x2_0 − x2_post ≤ 0 ∧ − x2_0 + x2_post ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0
10	13	0:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0
10	14	1:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0
10	15	3:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0
10	16	5:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0
10	17	4:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0
10	18	7:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0
10	19	8:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0
10	20	11:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0
10	21	9:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0
10	22	2:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0
10	23	6:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0
12	24	10:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0

Proof

1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:

1	25	1:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0
6	32	6:	− x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0

and for every transition t, a duplicate t is considered.

2 Transition Removal

We remove transitions 1, 3, 4, 6, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24 using the following ranking functions, which are bounded by −27.

12:	0
10:	0
3:	0
0:	0
1:	0
11:	0
2:	0
9:	0
4:	0
6:	0
8:	0
7:	0
5:	0
12:	−11
10:	−12
3:	−13
0:	−14
1:	−14
1_var_snapshot:	−14
1*:	−14
11:	−17
2:	−18
9:	−19
4:	−20
6:	−20
8:	−20
6_var_snapshot:	−20
6*:	−20
7:	−21
5:	−22

Hints:

26	lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
33	lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
0	lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
2	lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
5	lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
7	lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
10	lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
1	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
3	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
4	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
6	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
8	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
9	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
11	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
12	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
13	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
14	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
15	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
16	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
17	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
18	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
19	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
20	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
21	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
22	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
23	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
24	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

3 Location Addition

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

1* 28 1: − x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0

4 Location Addition

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

1 26 1_var_snapshot: − x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0

5 Location Addition

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

6* 35 6: − x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0

6 Location Addition

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

6 33 6_var_snapshot: − x2_post + x2_post ≤ 0 ∧ x2_post − x2_post ≤ 0 ∧ − x2_0 + x2_0 ≤ 0 ∧ x2_0 − x2_0 ≤ 0 ∧ − x1_post + x1_post ≤ 0 ∧ x1_post − x1_post ≤ 0 ∧ − x1_0 + x1_0 ≤ 0 ∧ x1_0 − x1_0 ≤ 0 ∧ − x0_post + x0_post ≤ 0 ∧ x0_post − x0_post ≤ 0 ∧ − x0_0 + x0_0 ≤ 0 ∧ x0_0 − x0_0 ≤ 0 ∧ − oldX5_post + oldX5_post ≤ 0 ∧ oldX5_post − oldX5_post ≤ 0 ∧ − oldX5_0 + oldX5_0 ≤ 0 ∧ oldX5_0 − oldX5_0 ≤ 0 ∧ − oldX4_post + oldX4_post ≤ 0 ∧ oldX4_post − oldX4_post ≤ 0 ∧ − oldX4_0 + oldX4_0 ≤ 0 ∧ oldX4_0 − oldX4_0 ≤ 0 ∧ − oldX3_post + oldX3_post ≤ 0 ∧ oldX3_post − oldX3_post ≤ 0 ∧ − oldX3_0 + oldX3_0 ≤ 0 ∧ oldX3_0 − oldX3_0 ≤ 0 ∧ − oldX2_post + oldX2_post ≤ 0 ∧ oldX2_post − oldX2_post ≤ 0 ∧ − oldX2_0 + oldX2_0 ≤ 0 ∧ oldX2_0 − oldX2_0 ≤ 0 ∧ − oldX1_post + oldX1_post ≤ 0 ∧ oldX1_post − oldX1_post ≤ 0 ∧ − oldX1_0 + oldX1_0 ≤ 0 ∧ oldX1_0 − oldX1_0 ≤ 0 ∧ − oldX0_post + oldX0_post ≤ 0 ∧ oldX0_post − oldX0_post ≤ 0 ∧ − oldX0_0 + oldX0_0 ≤ 0 ∧ oldX0_0 − oldX0_0 ≤ 0

7 SCC Decomposition

We consider subproblems for each of the 2 SCC(s) of the program graph.

7.1 SCC Subproblem 1/2

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

7.1.1 Transition Removal

We remove transition 2 using the following ranking functions, which are bounded by −1.

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

Hints:

26	lexWeak[ [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
28	lexWeak[ [0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
0	lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
2	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

7.1.2 Transition Removal

We remove transitions 26, 28, 0 using the following ranking functions, which are bounded by −2.

0:	1
1:	−1
1_var_snapshot:	−2
1*:	0

Hints:

26	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
28	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
0	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

7.1.3 Splitting Cut-Point Transitions

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

7.1.3.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 25.

7.1.3.1.1 Splitting Cut-Point Transitions

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

7.2 SCC Subproblem 2/2

Here we consider the SCC { 4, 6, 8, 6_var_snapshot, 6* }.

7.2.1 Transition Removal

We remove transition 7 using the following ranking functions, which are bounded by 3.

4:	−2 + 5⋅x0_0
6:	1 + 5⋅x0_0
8:	−1 + 5⋅x0_0
6_var_snapshot:	5⋅x0_0
6*:	2 + 5⋅x0_0

Hints:

33	lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
35	lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
5	lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
7	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
10	lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

7.2.2 Transition Removal

We remove transitions 33, 35, 5, 10 using the following ranking functions, which are bounded by −4.

4:	0
6:	−2
8:	−4
6_var_snapshot:	−3
6*:	−1

Hints:

33	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
35	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
5	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]
10	lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

7.2.3 Splitting Cut-Point Transitions

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

7.2.3.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 32.

7.2.3.1.1 Splitting Cut-Point Transitions

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

Tool configuration

T2Cert

version: 1.0