# LTS Termination Proof

by T2Cert

## Input

Integer Transition System
• 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

The following invariants are asserted.

 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: −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: −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: −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: −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: −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: −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: −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: −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: TRUE 10: TRUE

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

We consider the following cutpoint-transitions:
 3 15 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 7 22 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
and for every transition t, a duplicate t is considered.

### 3 Transition Removal

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

 10: 0 9: 0 0: 0 1: 0 2: 0 3: 0 4: 0 5: 0 6: 0 7: 0 8: 0 10: −5 9: −6 0: −7 1: −7 2: −7 3: −7 4: −7 5: −7 6: −7 7: −7 3_var_snapshot: −7 3*: −7 7_var_snapshot: −7 7*: −7 8: −10
Hints:
 16 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] ] 23 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 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] ] 1 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] ] 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] ] 3 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] ] 4 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] ] 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] ] 6 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] ] 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] ] 8 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] ] 9 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] ] 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] ] 12 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] ] 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] ] 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, 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] ]

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

3* 18 3: scale7_post + scale7_post ≤ 0scale7_postscale7_post ≤ 0scale7_0 + scale7_0 ≤ 0scale7_0scale7_0 ≤ 0j9_post + j9_post ≤ 0j9_postj9_post ≤ 0j9_0 + j9_0 ≤ 0j9_0j9_0 ≤ 0in_len4_post + in_len4_post ≤ 0in_len4_postin_len4_post ≤ 0in_len4_0 + in_len4_0 ≤ 0in_len4_0in_len4_0 ≤ 0i8_post + i8_post ≤ 0i8_posti8_post ≤ 0i8_0 + i8_0 ≤ 0i8_0i8_0 ≤ 0coef_len6_post + coef_len6_post ≤ 0coef_len6_postcoef_len6_post ≤ 0coef_len6_0 + coef_len6_0 ≤ 0coef_len6_0coef_len6_0 ≤ 0coef_len210_post + coef_len210_post ≤ 0coef_len210_postcoef_len210_post ≤ 0coef_len210_0 + coef_len210_0 ≤ 0coef_len210_0coef_len210_0 ≤ 0acc_length11_post + acc_length11_post ≤ 0acc_length11_postacc_length11_post ≤ 0acc_length11_0 + acc_length11_0 ≤ 0acc_length11_0acc_length11_0 ≤ 0acc12_post + acc12_post ≤ 0acc12_postacc12_post ≤ 0acc12_0 + acc12_0 ≤ 0acc12_0acc12_0 ≤ 0

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 ≤ 0scale7_postscale7_post ≤ 0scale7_0 + scale7_0 ≤ 0scale7_0scale7_0 ≤ 0j9_post + j9_post ≤ 0j9_postj9_post ≤ 0j9_0 + j9_0 ≤ 0j9_0j9_0 ≤ 0in_len4_post + in_len4_post ≤ 0in_len4_postin_len4_post ≤ 0in_len4_0 + in_len4_0 ≤ 0in_len4_0in_len4_0 ≤ 0i8_post + i8_post ≤ 0i8_posti8_post ≤ 0i8_0 + i8_0 ≤ 0i8_0i8_0 ≤ 0coef_len6_post + coef_len6_post ≤ 0coef_len6_postcoef_len6_post ≤ 0coef_len6_0 + coef_len6_0 ≤ 0coef_len6_0coef_len6_0 ≤ 0coef_len210_post + coef_len210_post ≤ 0coef_len210_postcoef_len210_post ≤ 0coef_len210_0 + coef_len210_0 ≤ 0coef_len210_0coef_len210_0 ≤ 0acc_length11_post + acc_length11_post ≤ 0acc_length11_postacc_length11_post ≤ 0acc_length11_0 + acc_length11_0 ≤ 0acc_length11_0acc_length11_0 ≤ 0acc12_post + acc12_post ≤ 0acc12_postacc12_post ≤ 0acc12_0 + acc12_0 ≤ 0acc12_0acc12_0 ≤ 0

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

7* 25 7: scale7_post + scale7_post ≤ 0scale7_postscale7_post ≤ 0scale7_0 + scale7_0 ≤ 0scale7_0scale7_0 ≤ 0j9_post + j9_post ≤ 0j9_postj9_post ≤ 0j9_0 + j9_0 ≤ 0j9_0j9_0 ≤ 0in_len4_post + in_len4_post ≤ 0in_len4_postin_len4_post ≤ 0in_len4_0 + in_len4_0 ≤ 0in_len4_0in_len4_0 ≤ 0i8_post + i8_post ≤ 0i8_posti8_post ≤ 0i8_0 + i8_0 ≤ 0i8_0i8_0 ≤ 0coef_len6_post + coef_len6_post ≤ 0coef_len6_postcoef_len6_post ≤ 0coef_len6_0 + coef_len6_0 ≤ 0coef_len6_0coef_len6_0 ≤ 0coef_len210_post + coef_len210_post ≤ 0coef_len210_postcoef_len210_post ≤ 0coef_len210_0 + coef_len210_0 ≤ 0coef_len210_0coef_len210_0 ≤ 0acc_length11_post + acc_length11_post ≤ 0acc_length11_postacc_length11_post ≤ 0acc_length11_0 + acc_length11_0 ≤ 0acc_length11_0acc_length11_0 ≤ 0acc12_post + acc12_post ≤ 0acc12_postacc12_post ≤ 0acc12_0 + acc12_0 ≤ 0acc12_0acc12_0 ≤ 0

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 ≤ 0scale7_postscale7_post ≤ 0scale7_0 + scale7_0 ≤ 0scale7_0scale7_0 ≤ 0j9_post + j9_post ≤ 0j9_postj9_post ≤ 0j9_0 + j9_0 ≤ 0j9_0j9_0 ≤ 0in_len4_post + in_len4_post ≤ 0in_len4_postin_len4_post ≤ 0in_len4_0 + in_len4_0 ≤ 0in_len4_0in_len4_0 ≤ 0i8_post + i8_post ≤ 0i8_posti8_post ≤ 0i8_0 + i8_0 ≤ 0i8_0i8_0 ≤ 0coef_len6_post + coef_len6_post ≤ 0coef_len6_postcoef_len6_post ≤ 0coef_len6_0 + coef_len6_0 ≤ 0coef_len6_0coef_len6_0 ≤ 0coef_len210_post + coef_len210_post ≤ 0coef_len210_postcoef_len210_post ≤ 0coef_len210_0 + coef_len210_0 ≤ 0coef_len210_0coef_len210_0 ≤ 0acc_length11_post + acc_length11_post ≤ 0acc_length11_postacc_length11_post ≤ 0acc_length11_0 + acc_length11_0 ≤ 0acc_length11_0acc_length11_0 ≤ 0acc12_post + acc12_post ≤ 0acc12_postacc12_post ≤ 0acc12_0 + acc12_0 ≤ 0acc12_0acc12_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.

 0: −36 + coef_len6_post − 9⋅i8_0 + in_len4_0 + scale7_post 1: −37 + coef_len6_post − 9⋅i8_0 + in_len4_0 + scale7_post 2: 250 + coef_len6_post − 9⋅i8_0 + in_len4_0 3: 5 − 9⋅i8_0 + in_len4_0 + scale7_post 4: 1 − 9⋅i8_0 + in_len4_0 + scale7_0 5: −7 − 4⋅coef_len6_post − 9⋅i8_0 + 16⋅in_len4_0 + scale7_post 6: 2 − 4⋅coef_len6_post − 9⋅i8_0 + 15⋅in_len4_0 + scale7_0 7: −8 − 4⋅coef_len6_post − 9⋅i8_0 + 16⋅in_len4_0 + scale7_post 3_var_snapshot: −3986 + 114⋅coef_len6_post − 9⋅i8_0 + in_len4_0 + scale7_post 3*: 3786 − 108⋅coef_len6_post − 9⋅i8_0 + in_len4_0 + scale7_post 7_var_snapshot: 2 − 4⋅coef_len6_post − 9⋅i8_0 + 15⋅in_len4_0 + scale7_post 7*: 277 − 4⋅coef_len6_post − 9⋅i8_0 + 16⋅in_len4_0 − scale7_0 + scale7_post
Hints:
 16 lexWeak[ [114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 9, 114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 18 lexWeak[ [108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 23 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 9, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 25 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 9, 0, 4, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 1 lexWeak[ [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 2 lexWeak[ [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 3 lexWeak[ [0, 109, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 4 lexWeak[ [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 5 lexWeak[ [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 6 lexWeak[ [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 7 lexWeak[ [0, 118, 0, 0, 0, 0, 0, 15, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 9, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 8 lexWeak[ [4, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 9 lexWeak[ [0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 16, 0, 0, 0, 0, 9, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 10 lexWeak[ [0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 15, 0, 0, 0, 0, 9, 0, 4, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 16, 0, 0, 0, 0, 9, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [4, 0, 0, 0, 0, 1, 0, 0, 7, 0, 0, 0, 0, 0, 0, 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] ]

### 8.1.2 Transition Removal

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

 0: 7980⋅acc_length11_0 − 7980⋅j9_0 1: 7980⋅acc_length11_0 + 114⋅in_len4_0 − 7980⋅j9_0 − 61⋅scale7_0 + 56⋅scale7_post 2: 7980⋅acc_length11_0 − 7980⋅j9_0 + 35⋅scale7_0 3: 7980⋅acc_length11_0 − 7980⋅j9_0 − 61⋅scale7_0 + 56⋅scale7_post 4: 7980⋅acc_length11_0 − 399⋅in_len4_post − 7980⋅j9_0 + 56⋅scale7_post 5: 7980⋅acc_length11_0 − in_len4_post − 7980⋅j9_0 − 61⋅scale7_0 6: 7980⋅acc_length11_0 + 514⋅coef_len6_0 − 399⋅in_len4_post − 7980⋅j9_0 − 7⋅scale7_post 7: 7980⋅acc_length11_0 + 514⋅coef_len6_0 − 7980⋅j9_0 3_var_snapshot: 7980⋅acc_length11_0 − in_len4_post − 7980⋅j9_0 − 61⋅scale7_0 + 56⋅scale7_post 3*: 7980⋅acc_length11_0 + 114⋅in_len4_0 − 57⋅in_len4_post − 7980⋅j9_0 − 61⋅scale7_0 + 56⋅scale7_post 7_var_snapshot: 7980⋅acc_length11_0 + 514⋅coef_len6_0 − 399⋅in_len4_post − 7980⋅j9_0 7*: 7980⋅acc_length11_0 + 514⋅coef_len6_0 − 399⋅in_len4_post − 7980⋅j9_0 + 14⋅scale7_0
Hints:
 16 lexWeak[ [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 61, 0, 0, 0, 7980, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0] ] 18 lexWeak[ [0, 0, 57, 0, 0, 0, 0, 0, 114, 0, 0, 56, 0, 0, 61, 0, 0, 0, 7980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0] ] 23 lexWeak[ [0, 0, 0, 399, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 399, 0, 0, 0, 0, 0, 0, 0, 0, 514, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0] ] 25 lexWeak[ [0, 0, 399, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 514, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0] ] 0 lexWeak[ [0, 0, 0, 0, 56, 0, 0, 114, 0, 0, 61, 56, 0, 0, 61, 0, 0, 0, 7980, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0] ] 1 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0] ] 2 lexWeak[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, 0, 0, 0, 7980, 0, 7980, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 3 lexWeak[ [0, 0, 0, 57, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56, 0, 0, 61, 0, 0, 0, 7980, 0, 57, 114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0] ] 4 lexWeak[ [0, 0, 399, 0, 0, 56, 0, 0, 0, 35, 0, 0, 0, 35, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0] ] 5 lexWeak[ [0, 0, 399, 0, 0, 0, 0, 114, 0, 0, 61, 0, 0, 7980, 0, 7980, 0, 56, 0, 0, 61, 0, 0, 0, 7980, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 6 lexWeak[ [0, 0, 399, 0, 0, 56, 0, 0, 0, 35, 0, 0, 0, 35, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0] ] 7 lexWeak[ [0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 61, 0, 0, 0, 7980, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0] ] 8 lexWeak[ [0, 0, 0, 0, 63, 0, 514, 0, 0, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 7980, 0, 399, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0] ] 9 lexStrict[ [0, 0, 0, 0, 7, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 7980, 0, 0, 14, 0, 0, 399, 0, 0, 0, 0, 0, 0, 0, 0, 514, 0, 0, 0, 0, 0, 0, 0, 7980, 0] , [0, 0, 399, 0, 7, 0, 514, 0, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0, 0, 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, 7, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 7980, 0, 399, 0, 0, 0, 0, 0, 0, 0, 0, 514, 0, 0, 0, 0, 0, 0, 0, 7980, 0, 0, 0, 0, 0] ]

### 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.

 0: −2⋅coef_len6_post 1: −2⋅coef_len6_post + 798⋅in_len4_0 − 35⋅scale7_0 2: − coef_len6_post 3: −2⋅coef_len6_post − 35⋅scale7_0 4: 0 5: −288⋅coef_len6_post − scale7_0 6: 114⋅in_len4_post − 2⋅scale7_0 7: 1425 3_var_snapshot: −288⋅coef_len6_post 3*: −3990 − 2⋅coef_len6_post + 798⋅in_len4_0 − 35⋅scale7_0 7_var_snapshot: 114⋅in_len4_post 7*: 6⋅scale7_0
Hints:
 16 lexStrict[ [0, 286, 0, 0, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [2, 0, 0, 0, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 798, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [2, 0, 0, 0, 0, 0, 0, 0, 798, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 25 lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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] , [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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] ] 0 lexStrict[ [0, 0, 0, 0, 0, 0, 0, 798, 0, 0, 35, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 798, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 1 lexStrict[ [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, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 2 lexStrict[ [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, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 35, 0, 0, 0, 0, 0, 0, 798, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [2, 0, 0, 0, 0, 0, 0, 0, 798, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 0, 0, 0, 0, 0, 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, 2, 0, 0, 0, 0, 0, 798, 0, 0, 35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 35, 0, 0, 0, 0, 0, 0, 798, 0, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 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, 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, 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, 0, 0, 0, 0, 0, 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 lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 114, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 114, 0, 0, 0, 0, 0, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0] ] 10 lexStrict[ [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] , [0, 0, 0, 114, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] ]

### 8.1.4 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

Here we consider cut-point transition 15.

### 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

Here we consider cut-point transition 22.

### 8.1.4.2.1 Splitting Cut-Point Transitions

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

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