LTS Termination Proof

by T2Cert

Input

• Initial Location: 10
• Transitions: (pre-variables and post-variables)

  0	0	1:		− scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0
  2	1	0:		− acc_length11_0 + coef_len6_0 ≤ 0 ∧ − scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0
  2	2	0:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 + acc_length11_0 − coef_len6_0 ≤ 0 ∧ −1 − acc_length11_0 + acc_length11_post ≤ 0 ∧ 1 + acc_length11_0 − acc_length11_post ≤ 0 ∧ acc_length11_0 − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_post ≤ 0 ∧ − scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0
  1	3	3:		0 ≤ 0 ∧ 0 ≤ 0 ∧ −1 − i8_0 + i8_post ≤ 0 ∧ 1 + i8_0 − i8_post ≤ 0 ∧ i8_0 − i8_post ≤ 0 ∧ − i8_0 + i8_post ≤ 0 ∧ − scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0
  4	4	2:		− scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0
  4	5	1:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 − acc_length11_0 + acc_length11_post ≤ 0 ∧ −1 + acc_length11_0 − acc_length11_post ≤ 0 ∧ acc_length11_0 − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_post ≤ 0 ∧ − scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0
  4	6	2:		− scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0
  3	7	5:		− scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0
  6	8	4:		acc_length11_0 − j9_0 ≤ 0 ∧ − scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0
  6	9	7:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 − acc_length11_0 + j9_0 ≤ 0 ∧ −1 − j9_0 + j9_post ≤ 0 ∧ 1 + j9_0 − j9_post ≤ 0 ∧ acc12_0 − acc12_post ≤ 0 ∧ − acc12_0 + acc12_post ≤ 0 ∧ j9_0 − j9_post ≤ 0 ∧ − j9_0 + j9_post ≤ 0 ∧ − scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0
  7	10	6:		− scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0
  5	11	8:		− i8_0 + in_len4_0 ≤ 0 ∧ − scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0
  5	12	7:		0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 + i8_0 − in_len4_0 ≤ 0 ∧ −1 + j9_post ≤ 0 ∧ 1 − j9_post ≤ 0 ∧ acc12_0 − acc12_post ≤ 0 ∧ − acc12_0 + acc12_post ≤ 0 ∧ j9_0 − j9_post ≤ 0 ∧ − j9_0 + j9_post ≤ 0 ∧ − scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0
  9	13	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 ∧ −10 + in_len4_post ≤ 0 ∧ 10 − in_len4_post ≤ 0 ∧ −35 + coef_len6_post ≤ 0 ∧ 35 − coef_len6_post ≤ 0 ∧ −285 + scale7_post ≤ 0 ∧ 285 − scale7_post ≤ 0 ∧ acc_length11_post − coef_len210_post ≤ 0 ∧ − acc_length11_post + coef_len210_post ≤ 0 ∧ i8_post ≤ 0 ∧ − i8_post ≤ 0 ∧ acc_length11_0 − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_post ≤ 0 ∧ coef_len210_0 − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_post ≤ 0 ∧ coef_len6_0 − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_post ≤ 0 ∧ i8_0 − i8_post ≤ 0 ∧ − i8_0 + i8_post ≤ 0 ∧ in_len4_0 − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_post ≤ 0 ∧ scale7_0 − scale7_post ≤ 0 ∧ − scale7_0 + scale7_post ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0
  10	14	9:		− scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_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)		−35 + coef_len6_post ≤ 0 ∧ 35 − coef_len6_post ≤ 0 ∧ −10 + in_len4_post ≤ 0 ∧ 10 − in_len4_post ≤ 0 ∧ −285 + scale7_post ≤ 0 ∧ 285 − scale7_post ≤ 0 ∧ 35 − coef_len6_0 ≤ 0 ∧ −10 + in_len4_0 ≤ 0 ∧ 10 − in_len4_0 ≤ 0 ∧ −285 + scale7_0 ≤ 0 ∧ 285 − scale7_0 ≤ 0
  1		(1)		−35 + coef_len6_post ≤ 0 ∧ 35 − coef_len6_post ≤ 0 ∧ −10 + in_len4_post ≤ 0 ∧ 10 − in_len4_post ≤ 0 ∧ −285 + scale7_post ≤ 0 ∧ 285 − scale7_post ≤ 0 ∧ 35 − coef_len6_0 ≤ 0 ∧ −10 + in_len4_0 ≤ 0 ∧ 10 − in_len4_0 ≤ 0 ∧ −285 + scale7_0 ≤ 0 ∧ 285 − scale7_0 ≤ 0
  2		(2)		−35 + coef_len6_post ≤ 0 ∧ 35 − coef_len6_post ≤ 0 ∧ −10 + in_len4_post ≤ 0 ∧ 10 − in_len4_post ≤ 0 ∧ −285 + scale7_post ≤ 0 ∧ 285 − scale7_post ≤ 0 ∧ 35 − coef_len6_0 ≤ 0 ∧ −10 + in_len4_0 ≤ 0 ∧ 10 − in_len4_0 ≤ 0 ∧ −285 + scale7_0 ≤ 0 ∧ 285 − scale7_0 ≤ 0
  3		(3)		−35 + coef_len6_post ≤ 0 ∧ 35 − coef_len6_post ≤ 0 ∧ −10 + in_len4_post ≤ 0 ∧ 10 − in_len4_post ≤ 0 ∧ −285 + scale7_post ≤ 0 ∧ 285 − scale7_post ≤ 0 ∧ 35 − coef_len6_0 ≤ 0 ∧ −10 + in_len4_0 ≤ 0 ∧ 10 − in_len4_0 ≤ 0 ∧ −285 + scale7_0 ≤ 0 ∧ 285 − scale7_0 ≤ 0
  4		(4)		−35 + coef_len6_post ≤ 0 ∧ 35 − coef_len6_post ≤ 0 ∧ −10 + in_len4_post ≤ 0 ∧ 10 − in_len4_post ≤ 0 ∧ −285 + scale7_post ≤ 0 ∧ 285 − scale7_post ≤ 0 ∧ 35 − coef_len6_0 ≤ 0 ∧ −10 + in_len4_0 ≤ 0 ∧ 10 − in_len4_0 ≤ 0 ∧ −285 + scale7_0 ≤ 0 ∧ 285 − scale7_0 ≤ 0
  5		(5)		−35 + coef_len6_post ≤ 0 ∧ 35 − coef_len6_post ≤ 0 ∧ −10 + in_len4_post ≤ 0 ∧ 10 − in_len4_post ≤ 0 ∧ −285 + scale7_post ≤ 0 ∧ 285 − scale7_post ≤ 0 ∧ 35 − coef_len6_0 ≤ 0 ∧ −10 + in_len4_0 ≤ 0 ∧ 10 − in_len4_0 ≤ 0 ∧ −285 + scale7_0 ≤ 0 ∧ 285 − scale7_0 ≤ 0
  6		(6)		−35 + coef_len6_post ≤ 0 ∧ 35 − coef_len6_post ≤ 0 ∧ −10 + in_len4_post ≤ 0 ∧ 10 − in_len4_post ≤ 0 ∧ −285 + scale7_post ≤ 0 ∧ 285 − scale7_post ≤ 0 ∧ 35 − coef_len6_0 ≤ 0 ∧ −10 + in_len4_0 ≤ 0 ∧ 10 − in_len4_0 ≤ 0 ∧ −285 + scale7_0 ≤ 0 ∧ 285 − scale7_0 ≤ 0
  7		(7)		−35 + coef_len6_post ≤ 0 ∧ 35 − coef_len6_post ≤ 0 ∧ −10 + in_len4_post ≤ 0 ∧ 10 − in_len4_post ≤ 0 ∧ −285 + scale7_post ≤ 0 ∧ 285 − scale7_post ≤ 0 ∧ 35 − coef_len6_0 ≤ 0 ∧ −10 + in_len4_0 ≤ 0 ∧ 10 − in_len4_0 ≤ 0 ∧ −285 + scale7_0 ≤ 0 ∧ 285 − scale7_0 ≤ 0
  8		(8)		−35 + coef_len6_post ≤ 0 ∧ 35 − coef_len6_post ≤ 0 ∧ −10 + in_len4_post ≤ 0 ∧ 10 − in_len4_post ≤ 0 ∧ −285 + scale7_post ≤ 0 ∧ 285 − scale7_post ≤ 0 ∧ 35 − coef_len6_0 ≤ 0 ∧ 10 − in_len4_0 ≤ 0 ∧ −285 + scale7_0 ≤ 0 ∧ 285 − scale7_0 ≤ 0
  9		(9)		TRUE
  10		(10)		TRUE

• initial node: 10
• cover edges:
• transition edges:

  0	0 1
  1	3 3
  2	1 0
  2	2 0
  3	7 5
  4	4 2
  4	5 1
  4	6 2
  5	11 8
  5	12 7
  6	8 4
  6	9 7
  7	10 6
  9	13 3
  10	14 9

2 Switch to Cooperation Termination Proof

3 Transition Removal

We remove transitions 11, 13, 14 using the following ranking functions, which are bounded by −15.

4 Location Addition

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

3* 18 3: − scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0

5 Location Addition

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

3 16 3_var_snapshot: − scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0

6 Location Addition

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

7* 25 7: − scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0

7 Location Addition

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

7 23 7_var_snapshot: − scale7_post + scale7_post ≤ 0 ∧ scale7_post − scale7_post ≤ 0 ∧ − scale7_0 + scale7_0 ≤ 0 ∧ scale7_0 − scale7_0 ≤ 0 ∧ − j9_post + j9_post ≤ 0 ∧ j9_post − j9_post ≤ 0 ∧ − j9_0 + j9_0 ≤ 0 ∧ j9_0 − j9_0 ≤ 0 ∧ − in_len4_post + in_len4_post ≤ 0 ∧ in_len4_post − in_len4_post ≤ 0 ∧ − in_len4_0 + in_len4_0 ≤ 0 ∧ in_len4_0 − in_len4_0 ≤ 0 ∧ − i8_post + i8_post ≤ 0 ∧ i8_post − i8_post ≤ 0 ∧ − i8_0 + i8_0 ≤ 0 ∧ i8_0 − i8_0 ≤ 0 ∧ − coef_len6_post + coef_len6_post ≤ 0 ∧ coef_len6_post − coef_len6_post ≤ 0 ∧ − coef_len6_0 + coef_len6_0 ≤ 0 ∧ coef_len6_0 − coef_len6_0 ≤ 0 ∧ − coef_len210_post + coef_len210_post ≤ 0 ∧ coef_len210_post − coef_len210_post ≤ 0 ∧ − coef_len210_0 + coef_len210_0 ≤ 0 ∧ coef_len210_0 − coef_len210_0 ≤ 0 ∧ − acc_length11_post + acc_length11_post ≤ 0 ∧ acc_length11_post − acc_length11_post ≤ 0 ∧ − acc_length11_0 + acc_length11_0 ≤ 0 ∧ acc_length11_0 − acc_length11_0 ≤ 0 ∧ − acc12_post + acc12_post ≤ 0 ∧ acc12_post − acc12_post ≤ 0 ∧ − acc12_0 + acc12_0 ≤ 0 ∧ acc12_0 − acc12_0 ≤ 0

8 SCC Decomposition

We consider subproblems for each of the 1 SCC(s) of the program graph.

8.1 SCC Subproblem 1/1

Here we consider the SCC { 0, 1, 2, 3, 4, 5, 6, 7, 3_var_snapshot, 3*, 7_var_snapshot, 7* }.

8.1.1 Transition Removal

We remove transition 12 using the following ranking functions, which are bounded by 216.

8.1.2 Transition Removal

We remove transition 9 using the following ranking functions, which are bounded by 19984.

8.1.3 Transition Removal

We remove transitions 16, 18, 23, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 10 using the following ranking functions, which are bounded by −10081.

8.1.4 Splitting Cut-Point Transitions

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

8.1.4.1 Cut-Point Subproblem 1/2

8.1.4.1.1 Splitting Cut-Point Transitions

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

8.1.4.2 Cut-Point Subproblem 2/2

8.1.4.2.1 Splitting Cut-Point Transitions

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

Tool configuration

T2Cert

• version: 1.0