LTS Termination Proof

by T2Cert

Input

• Initial Location: 17
• Transitions: (pre-variables and post-variables)

  0	0	1:		− i_0 + nodecount_0 ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  0	1	2:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 + i_0 − nodecount_0 ≤ 0 ∧ −1 − i_0 + i_post ≤ 0 ∧ 1 + i_0 − i_post ≤ 0 ∧ i_0 − i_post ≤ 0 ∧ − i_0 + i_post ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  3	2	4:		0 ≤ 0 ∧ 0 ≤ 0 ∧ −1 − i_0 + i_post ≤ 0 ∧ 1 + i_0 − i_post ≤ 0 ∧ i_0 − i_post ≤ 0 ∧ − i_0 + i_post ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  3	3	1:		− y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  5	4	2:		0 ≤ 0 ∧ 0 ≤ 0 ∧ edgecount_0 − i_0 ≤ 0 ∧ i_post ≤ 0 ∧ − i_post ≤ 0 ∧ i_0 − i_post ≤ 0 ∧ − i_0 + i_post ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  5	5	3:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 − edgecount_0 + i_0 ≤ 0 ∧ x_0 − x_post ≤ 0 ∧ − x_0 + x_post ≤ 0 ∧ y_0 − y_post ≤ 0 ∧ − y_0 + y_post ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  6	6	7:		0 ≤ 0 ∧ 0 ≤ 0 ∧ −1 − j_0 + j_post ≤ 0 ∧ 1 + j_0 − j_post ≤ 0 ∧ j_0 − j_post ≤ 0 ∧ − j_0 + j_post ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  8	7	9:		0 ≤ 0 ∧ 0 ≤ 0 ∧ edgecount_0 − j_0 ≤ 0 ∧ −1 − i_0 + i_post ≤ 0 ∧ 1 + i_0 − i_post ≤ 0 ∧ i_0 − i_post ≤ 0 ∧ − i_0 + i_post ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  8	8	6:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 − edgecount_0 + j_0 ≤ 0 ∧ x_0 − x_post ≤ 0 ∧ − x_0 + x_post ≤ 0 ∧ y_0 − y_post ≤ 0 ∧ − y_0 + y_post ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  10	9	11:		− y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  12	10	4:		0 ≤ 0 ∧ 0 ≤ 0 ∧ − i_0 + nodecount_0 ≤ 0 ∧ i_post ≤ 0 ∧ − i_post ≤ 0 ∧ i_0 − i_post ≤ 0 ∧ − i_0 + i_post ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  12	11	7:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 + i_0 − nodecount_0 ≤ 0 ∧ j_post ≤ 0 ∧ − j_post ≤ 0 ∧ j_0 − j_post ≤ 0 ∧ − j_0 + j_post ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  13	12	14:		− y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  14	13	10:		0 ≤ 0 ∧ 0 ≤ 0 ∧ −1 − i_0 + i_post ≤ 0 ∧ 1 + i_0 − i_post ≤ 0 ∧ i_0 − i_post ≤ 0 ∧ − i_0 + i_post ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  15	14	13:		1 − i_0 + source_0 ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  15	15	13:		1 + i_0 − source_0 ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  15	16	14:		i_0 − source_0 ≤ 0 ∧ − i_0 + source_0 ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  9	17	12:		− y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  11	18	9:		0 ≤ 0 ∧ 0 ≤ 0 ∧ − i_0 + nodecount_0 ≤ 0 ∧ i_post ≤ 0 ∧ − i_post ≤ 0 ∧ i_0 − i_post ≤ 0 ∧ − i_0 + i_post ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  11	19	15:		1 + i_0 − nodecount_0 ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  7	20	8:		− y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  4	21	5:		− y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  2	22	0:		− y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0
  16	23	10:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ −13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ i_post ≤ 0 ∧ − i_post ≤ 0 ∧ edgecount_0 − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_post ≤ 0 ∧ i_0 − i_post ≤ 0 ∧ − i_0 + i_post ≤ 0 ∧ nodecount_0 − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_post ≤ 0 ∧ source_0 − source_post ≤ 0 ∧ − source_0 + source_post ≤ 0 ∧ − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0
  17	24	16:		− y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0

Proof

1 Invariant Updates

The following invariants are asserted.

The invariants are proved as follows.

IMPACT Invariant Proof

• nodes (location) invariant:

  0		(0)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  1		(1)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  2		(2)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  3		(3)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  4		(4)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  5		(5)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  6		(6)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  7		(7)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  8		(8)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  9		(9)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  10		(10)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ −5 + nodecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  11		(11)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ −5 + nodecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  12		(12)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  13		(13)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ −5 + nodecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  14		(14)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ −5 + nodecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  15		(15)		−13 + edgecount_post ≤ 0 ∧ 13 − edgecount_post ≤ 0 ∧ −5 + nodecount_post ≤ 0 ∧ 5 − nodecount_post ≤ 0 ∧ source_post ≤ 0 ∧ − source_post ≤ 0 ∧ −13 + edgecount_0 ≤ 0 ∧ 13 − edgecount_0 ≤ 0 ∧ −5 + nodecount_0 ≤ 0 ∧ 5 − nodecount_0 ≤ 0 ∧ − source_0 ≤ 0
  16		(16)		TRUE
  17		(17)		TRUE

• initial node: 17
• cover edges:
• transition edges:

  0	0 1
  0	1 2
  2	22 0
  3	2 4
  3	3 1
  4	21 5
  5	4 2
  5	5 3
  6	6 7
  7	20 8
  8	7 9
  8	8 6
  9	17 12
  10	9 11
  11	18 9
  11	19 15
  12	10 4
  12	11 7
  13	12 14
  14	13 10
  15	14 13
  15	15 13
  15	16 14
  16	23 10
  17	24 16

2 Switch to Cooperation Termination Proof

3 Transition Removal

We remove transitions 0, 3, 4, 10, 18, 23, 24 using the following ranking functions, which are bounded by −27.

4 Location Addition

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

2* 28 2: − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0

5 Location Addition

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

2 26 2_var_snapshot: − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0

6 Location Addition

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

4* 35 4: − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0

7 Location Addition

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

4 33 4_var_snapshot: − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0

8 Location Addition

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

7* 42 7: − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0

9 Location Addition

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

7 40 7_var_snapshot: − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0

10 Location Addition

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

9* 49 9: − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0

11 Location Addition

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

9 47 9_var_snapshot: − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0

12 Location Addition

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

10* 56 10: − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0

13 Location Addition

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

10 54 10_var_snapshot: − y_post + y_post ≤ 0 ∧ y_post − y_post ≤ 0 ∧ − y_0 + y_0 ≤ 0 ∧ y_0 − y_0 ≤ 0 ∧ − x_post + x_post ≤ 0 ∧ x_post − x_post ≤ 0 ∧ − x_0 + x_0 ≤ 0 ∧ x_0 − x_0 ≤ 0 ∧ − source_post + source_post ≤ 0 ∧ source_post − source_post ≤ 0 ∧ − source_0 + source_0 ≤ 0 ∧ source_0 − source_0 ≤ 0 ∧ − nodecount_post + nodecount_post ≤ 0 ∧ nodecount_post − nodecount_post ≤ 0 ∧ − nodecount_0 + nodecount_0 ≤ 0 ∧ nodecount_0 − nodecount_0 ≤ 0 ∧ − j_post + j_post ≤ 0 ∧ j_post − j_post ≤ 0 ∧ − j_0 + j_0 ≤ 0 ∧ j_0 − j_0 ≤ 0 ∧ − i_post + i_post ≤ 0 ∧ i_post − i_post ≤ 0 ∧ − i_0 + i_0 ≤ 0 ∧ i_0 − i_0 ≤ 0 ∧ − edgecount_post + edgecount_post ≤ 0 ∧ edgecount_post − edgecount_post ≤ 0 ∧ − edgecount_0 + edgecount_0 ≤ 0 ∧ edgecount_0 − edgecount_0 ≤ 0

14 SCC Decomposition

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

14.1 SCC Subproblem 1/4

Here we consider the SCC { 0, 2, 2_var_snapshot, 2* }.

14.1.1 Transition Removal

We remove transition 1 using the following ranking functions, which are bounded by 0.

14.1.2 Transition Removal

We remove transitions 26, 28, 22 using the following ranking functions, which are bounded by −1.

14.1.3 Splitting Cut-Point Transitions

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

14.1.3.1 Cut-Point Subproblem 1/1

14.1.3.1.1 Splitting Cut-Point Transitions

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

14.2 SCC Subproblem 2/4

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

14.2.1 Transition Removal

We remove transition 5 using the following ranking functions, which are bounded by −1143.

14.2.2 Transition Removal

We remove transitions 35, 2, 21 using the following ranking functions, which are bounded by −71.

14.2.3 Transition Removal

We remove transition 33 using the following ranking functions, which are bounded by 4.

14.2.4 Splitting Cut-Point Transitions

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

14.2.4.1 Cut-Point Subproblem 1/1

14.2.4.1.1 Splitting Cut-Point Transitions

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

14.3 SCC Subproblem 3/4

Here we consider the SCC { 6, 7, 8, 9, 12, 7_var_snapshot, 7*, 9_var_snapshot, 9* }.

14.3.1 Transition Removal

We remove transition 11 using the following ranking functions, which are bounded by 95.

14.3.2 Transition Removal

We remove transition 8 using the following ranking functions, which are bounded by −41.

14.3.3 Transition Removal

We remove transitions 40, 42, 47, 49, 6, 7, 17, 20 using the following ranking functions, which are bounded by −79.

14.3.4 Splitting Cut-Point Transitions

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

14.3.4.1 Cut-Point Subproblem 1/2

14.3.4.1.1 Splitting Cut-Point Transitions

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

14.3.4.2 Cut-Point Subproblem 2/2

14.3.4.2.1 Splitting Cut-Point Transitions

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

14.4 SCC Subproblem 4/4

Here we consider the SCC { 10, 11, 13, 14, 15, 10_var_snapshot, 10* }.

14.4.1 Transition Removal

We remove transitions 15, 16, 19 using the following ranking functions, which are bounded by −28.

14.4.2 Transition Removal

We remove transitions 54, 56, 9, 12, 13 using the following ranking functions, which are bounded by −6.

14.4.3 Transition Removal

We remove transition 14 using the following ranking functions, which are bounded by 12.

14.4.4 Splitting Cut-Point Transitions

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

14.4.4.1 Cut-Point Subproblem 1/1

14.4.4.1.1 Splitting Cut-Point Transitions

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

Tool configuration

T2Cert

• version: 1.0