LTS Termination Proof

by T2Cert

Input

Integer Transition System

Initial Location: 8

Transitions: (pre-variables and post-variables)

0	0	1:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ − x5 ≤ 0 ∧ 1 − arg2 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 1 − arg1 ≤ 0 ∧ 1 − arg1P ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg3P + arg3 ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg8P + arg8 ≤ 0 ∧ arg8P − arg8 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0
0	2	3:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ − arg2P ≤ 0 ∧ 1 − arg2 ≤ 0 ∧ −14 + arg1P − arg1 ≤ 0 ∧ 1 − arg1 ≤ 0 ∧ 15 − arg1P ≤ 0 ∧ arg2 − arg3P ≤ 0 ∧ − arg2 + arg3P ≤ 0 ∧ 1 − arg4P ≤ 0 ∧ −1 + arg4P ≤ 0 ∧ − arg5P ≤ 0 ∧ arg5P ≤ 0 ∧ 16 − arg6P ≤ 0 ∧ −16 + arg6P ≤ 0 ∧ 12 − arg7P ≤ 0 ∧ −12 + arg7P ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg3P + arg3 ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg8P + arg8 ≤ 0 ∧ arg8P − arg8 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0
3	3	3:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 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 − arg2 ≤ 0 ∧ 2 − arg3 + arg4 ≤ 0 ∧ − arg3 ≤ 0 ∧ − arg4 ≤ 0 ∧ − x27 ≤ 0 ∧ − x28 ≤ 0 ∧ 2 − arg6 ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ 3 − arg1 + arg5 ≤ 0 ∧ 3 − arg1 + arg7 ≤ 0 ∧ −1 − arg2P + arg2 ≤ 0 ∧ 1 + arg2P − arg2 ≤ 0 ∧ 2 − arg4P + arg4 ≤ 0 ∧ −2 + arg4P − arg4 ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg8P + arg8 ≤ 0 ∧ arg8P − arg8 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0
3	4	4:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 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 − arg3 + arg4 ≤ 0 ∧ 2 − arg6 ≤ 0 ∧ 1 − arg2 ≤ 0 ∧ − arg3 ≤ 0 ∧ − arg4 ≤ 0 ∧ − x40 ≤ 0 ∧ − x41 ≤ 0 ∧ 1 + arg3P − arg6 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ − arg4P ≤ 0 ∧ 3 − arg1 + arg5 ≤ 0 ∧ 3 − arg1 + arg7 ≤ 0 ∧ arg3 − arg5P ≤ 0 ∧ − arg3 + arg5P ≤ 0 ∧ 2 + arg4 − arg6P ≤ 0 ∧ −2 − arg4 + arg6P ≤ 0 ∧ arg5 − arg7P ≤ 0 ∧ − arg5 + arg7P ≤ 0 ∧ arg6 − arg8P ≤ 0 ∧ − arg6 + arg8P ≤ 0 ∧ arg7 − arg9P ≤ 0 ∧ − arg7 + arg9P ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg3P + arg3 ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg8P + arg8 ≤ 0 ∧ arg8P − arg8 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0
4	5	5:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 2 − arg8 ≤ 0 ∧ arg3P − arg4 ≤ 0 ∧ 2 − arg4 + arg9P ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 3 − arg4 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ 3 − arg3P ≤ 0 ∧ − arg9P ≤ 0 ∧ 3 − arg1 + arg7 ≤ 0 ∧ 3 − arg1 + arg9 ≤ 0 ∧ 2 + arg2 − arg4 ≤ 0 ∧ 4 + arg10P − arg4 ≤ 0 ∧ − arg2P + arg3 ≤ 0 ∧ arg2P − arg3 ≤ 0 ∧ − arg4P ≤ 0 ∧ arg4P ≤ 0 ∧ − arg5P + arg7 ≤ 0 ∧ arg5P − arg7 ≤ 0 ∧ − arg6P + arg8 ≤ 0 ∧ arg6P − arg8 ≤ 0 ∧ − arg7P + arg9 ≤ 0 ∧ arg7P − arg9 ≤ 0 ∧ arg2 − arg8P ≤ 0 ∧ − arg2 + arg8P ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg3P + arg3 ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg8P + arg8 ≤ 0 ∧ arg8P − arg8 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0
4	6	5:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 2 − arg8 ≤ 0 ∧ arg3P − arg4 ≤ 0 ∧ 2 − arg4 + arg9P ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 3 − arg4 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ 3 − arg3P ≤ 0 ∧ − arg9P ≤ 0 ∧ 3 − arg1 + arg7 ≤ 0 ∧ 3 − arg1 + arg9 ≤ 0 ∧ 2 + arg2 − arg4 ≤ 0 ∧ 4 + arg10P − arg4 ≤ 0 ∧ − arg2P + arg3 ≤ 0 ∧ arg2P − arg3 ≤ 0 ∧ 1 − arg4P ≤ 0 ∧ −1 + arg4P ≤ 0 ∧ − arg5P + arg7 ≤ 0 ∧ arg5P − arg7 ≤ 0 ∧ − arg6P + arg8 ≤ 0 ∧ arg6P − arg8 ≤ 0 ∧ − arg7P + arg9 ≤ 0 ∧ arg7P − arg9 ≤ 0 ∧ arg2 − arg8P ≤ 0 ∧ − arg2 + arg8P ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg3P + arg3 ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg8P + arg8 ≤ 0 ∧ arg8P − arg8 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0
4	7	4:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 1 − arg2 + x79 ≤ 0 ∧ 1 + arg4P − arg4 ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 1 − arg4 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ − arg4P ≤ 0 ∧ 3 − arg1 + arg7 ≤ 0 ∧ 3 − arg1 + arg9 ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0
4	8	4:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 1 + arg2 − x212 ≤ 0 ∧ 1 + arg4P − arg4 ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 1 − arg4 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ − arg4P ≤ 0 ∧ 3 − arg1 + arg7 ≤ 0 ∧ 3 − arg1 + arg9 ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0
4	9	4:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 2 − arg8 ≤ 0 ∧ 2 + arg4P − arg4 ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 2 − arg4 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ − arg4P ≤ 0 ∧ 3 − arg1 + arg7 ≤ 0 ∧ 3 − arg1 + arg9 ≤ 0 ∧ 2 + arg2 − arg4 ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0
4	10	4:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 2 − arg8 ≤ 0 ∧ 2 + arg4P − arg4 ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 3 − arg4 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ − arg4P ≤ 0 ∧ 3 − arg1 + arg7 ≤ 0 ∧ 3 − arg1 + arg9 ≤ 0 ∧ 2 + arg2 − arg4 ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0
5	11	4:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 2 − arg3 + arg4P ≤ 0 ∧ arg4P − arg9 ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 3 − arg3 ≤ 0 ∧ − arg9 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ − arg4P ≤ 0 ∧ 3 − arg1 + arg5 ≤ 0 ∧ 3 − arg1 + arg7 ≤ 0 ∧ 2 − arg3 + arg8 ≤ 0 ∧ 4 + arg10 − arg3 ≤ 0 ∧ − arg4 ≤ 0 ∧ arg4 ≤ 0 ∧ − arg2P + arg8 ≤ 0 ∧ arg2P − arg8 ≤ 0 ∧ arg2 − arg3P ≤ 0 ∧ − arg2 + arg3P ≤ 0 ∧ arg5 − arg7P ≤ 0 ∧ − arg5 + arg7P ≤ 0 ∧ arg6 − arg8P ≤ 0 ∧ − arg6 + arg8P ≤ 0 ∧ arg7 − arg9P ≤ 0 ∧ − arg7 + arg9P ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg3P + arg3 ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg8P + arg8 ≤ 0 ∧ arg8P − arg8 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0
4	12	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 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 + arg3 − arg8 ≤ 0 ∧ 2 − arg8 ≤ 0 ∧ − arg7 + arg9 ≤ 0 ∧ −2⋅arg8 ≤ 0 ∧ −1073741823 + arg8 ≤ 0 ∧ −1 + arg1P − arg1 ≤ 0 ∧ 3 − arg1 + arg2P ≤ 0 ∧ −1 + arg2P − arg4 ≤ 0 ∧ 3 − arg1 + arg3P ≤ 0 ∧ −1 + arg3P − arg4 ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ − arg4 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ 1 − arg2P ≤ 0 ∧ 1 − arg3P ≤ 0 ∧ 3 − arg1 + arg7 ≤ 0 ∧ 3 − arg1 + arg9 ≤ 0 ∧ − arg4P ≤ 0 ∧ arg4P ≤ 0 ∧ 1 − arg5P + arg7 ≤ 0 ∧ −1 + arg5P − arg7 ≤ 0 ∧ − arg6P + arg9 ≤ 0 ∧ arg6P − arg9 ≤ 0 ∧ − arg7P + 2⋅arg8 ≤ 0 ∧ arg7P − 2⋅arg8 ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg3P + arg3 ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0
4	13	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 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 + arg3 − arg8 ≤ 0 ∧ 1073741825 − arg8 ≤ 0 ∧ −2⋅arg8 ≤ 0 ∧ − arg7 + arg9 ≤ 0 ∧ −1 + arg1P − arg1 ≤ 0 ∧ 3 − arg1 + arg2P ≤ 0 ∧ −1 + arg2P − arg4 ≤ 0 ∧ 3 − arg1 + arg3P ≤ 0 ∧ −1 + arg3P − arg4 ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ − arg4 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ 1 − arg2P ≤ 0 ∧ 1 − arg3P ≤ 0 ∧ 3 − arg1 + arg7 ≤ 0 ∧ 3 − arg1 + arg9 ≤ 0 ∧ − arg4P ≤ 0 ∧ arg4P ≤ 0 ∧ 1 − arg5P + arg7 ≤ 0 ∧ −1 + arg5P − arg7 ≤ 0 ∧ − arg6P + arg9 ≤ 0 ∧ arg6P − arg9 ≤ 0 ∧ − arg7P + 2⋅arg8 ≤ 0 ∧ arg7P − 2⋅arg8 ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg3P + arg3 ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0
6	14	7:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 − arg7 ≤ 0 ∧ 1 + arg4 − arg8 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 3 − arg1 + arg2P ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ arg2P − arg3 ≤ 0 ∧ 3 − arg1 + arg6P ≤ 0 ∧ − arg2 + arg6P ≤ 0 ∧ − arg3 + arg6P ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 1 − arg2 ≤ 0 ∧ 1 − arg3 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ 1 − arg2P ≤ 0 ∧ − arg4P ≤ 0 ∧ 1 − arg5P ≤ 0 ∧ 1 − arg6P ≤ 0 ∧ 3 − arg1 + arg5 ≤ 0 ∧ 3 − arg1 + arg6 ≤ 0 ∧ − arg3P + arg4 ≤ 0 ∧ arg3P − arg4 ≤ 0 ∧ arg5 − arg8P ≤ 0 ∧ − arg5 + arg8P ≤ 0 ∧ arg6 − arg9P ≤ 0 ∧ − arg6 + arg9P ≤ 0 ∧ − arg10P + arg8 ≤ 0 ∧ arg10P − arg8 ≤ 0 ∧ − arg13P + arg7 ≤ 0 ∧ arg13P − arg7 ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg3P + arg3 ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg8P + arg8 ≤ 0 ∧ arg8P − arg8 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0
7	15	7:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 1 − arg13 + arg7 ≤ 0 ∧ 1 − arg13 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 3 − arg1 + arg2P ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ arg2P − arg4 ≤ 0 ∧ 2 + arg2P − arg5 ≤ 0 ∧ arg2P − arg6 ≤ 0 ∧ 1 + arg4P − arg4 ≤ 0 ∧ 3 + arg4P − arg5 ≤ 0 ∧ − arg4 + arg5P ≤ 0 ∧ 2 + arg5P − arg5 ≤ 0 ∧ 3 − arg1 + arg6P ≤ 0 ∧ − arg2 + arg6P ≤ 0 ∧ − arg4 + arg6P ≤ 0 ∧ 2 − arg5 + arg6P ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 1 − arg2 ≤ 0 ∧ 1 − arg4 ≤ 0 ∧ 3 − arg5 ≤ 0 ∧ 1 − arg6 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ 1 − arg2P ≤ 0 ∧ − arg4P ≤ 0 ∧ 1 − arg5P ≤ 0 ∧ 1 − arg6P ≤ 0 ∧ 3 − arg1 + arg8 ≤ 0 ∧ 3 − arg1 + arg9 ≤ 0 ∧ 2 + arg11P − arg4 ≤ 0 ∧ 2 + arg12P − arg4 ≤ 0 ∧ 2 + arg11 − arg5 ≤ 0 ∧ 4 + arg11P − arg5 ≤ 0 ∧ 4 + arg12P − arg5 ≤ 0 ∧ 2 + arg12 − arg5 ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0
6	16	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 ∧ − arg8 ≤ 0 ∧ 1 + arg4 − arg8 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 3 − arg1 + arg2P ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ arg2P − arg3 ≤ 0 ∧ 3 − arg1 + arg3P ≤ 0 ∧ − arg2 + arg3P ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 1 − arg2 ≤ 0 ∧ 1 − arg3 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ 1 − arg2P ≤ 0 ∧ 1 − arg3P ≤ 0 ∧ 3 − arg1 + arg5 ≤ 0 ∧ 3 − arg1 + arg6 ≤ 0 ∧ 1 − arg4P + arg4 ≤ 0 ∧ −1 + arg4P − arg4 ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg3P + arg3 ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0
7	17	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 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ − arg10 ≤ 0 ∧ 1 − arg13 + arg7 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ 3 − arg1 + arg2P ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ −1 + arg2P − arg4 ≤ 0 ∧ 1 + arg2P − arg5 ≤ 0 ∧ arg2P − arg6 ≤ 0 ∧ 3 − arg1 + arg3P ≤ 0 ∧ − arg2 + arg3P ≤ 0 ∧ −1 + arg3P − arg4 ≤ 0 ∧ 1 + arg3P − arg5 ≤ 0 ∧ arg3P − arg6 ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 1 − arg2 ≤ 0 ∧ − arg4 ≤ 0 ∧ 2 − arg5 ≤ 0 ∧ 1 − arg6 ≤ 0 ∧ 4 − arg1P ≤ 0 ∧ 1 − arg2P ≤ 0 ∧ 1 − arg3P ≤ 0 ∧ 3 − arg1 + arg8 ≤ 0 ∧ 3 − arg1 + arg9 ≤ 0 ∧ 2 + arg11 − arg5 ≤ 0 ∧ 2 + arg12 − arg5 ≤ 0 ∧ 1 + arg3 − arg4P ≤ 0 ∧ −1 − arg3 + arg4P ≤ 0 ∧ − arg5P + arg8 ≤ 0 ∧ arg5P − arg8 ≤ 0 ∧ − arg6P + arg9 ≤ 0 ∧ arg6P − arg9 ≤ 0 ∧ arg13 − arg7P ≤ 0 ∧ − arg13 + arg7P ≤ 0 ∧ arg10 − arg8P ≤ 0 ∧ − arg10 + arg8P ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg3P + arg3 ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg8P + arg8 ≤ 0 ∧ arg8P − arg8 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0
8	18	0:	0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ 0 ≤ 0 ∧ − arg1P + arg1 ≤ 0 ∧ arg1P − arg1 ≤ 0 ∧ − arg2P + arg2 ≤ 0 ∧ arg2P − arg2 ≤ 0 ∧ − arg3P + arg3 ≤ 0 ∧ arg3P − arg3 ≤ 0 ∧ − arg4P + arg4 ≤ 0 ∧ arg4P − arg4 ≤ 0 ∧ − arg5P + arg5 ≤ 0 ∧ arg5P − arg5 ≤ 0 ∧ − arg6P + arg6 ≤ 0 ∧ arg6P − arg6 ≤ 0 ∧ − arg7P + arg7 ≤ 0 ∧ arg7P − arg7 ≤ 0 ∧ − arg8P + arg8 ≤ 0 ∧ arg8P − arg8 ≤ 0 ∧ − arg9P + arg9 ≤ 0 ∧ arg9P − arg9 ≤ 0 ∧ − arg10P + arg10 ≤ 0 ∧ arg10P − arg10 ≤ 0 ∧ − arg11P + arg11 ≤ 0 ∧ arg11P − arg11 ≤ 0 ∧ − arg12P + arg12 ≤ 0 ∧ arg12P − arg12 ≤ 0 ∧ − arg13P + arg13 ≤ 0 ∧ arg13P − arg13 ≤ 0 ∧ − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0

Proof

1 Invariant Updates

The following invariants are asserted.

0:	TRUE
1:	1 − arg1P ≤ 0 ∧ 1 − arg1 ≤ 0 ∧ − x5 ≤ 0
3:	1 − arg1P ≤ 0 ∧ 1 − arg1 ≤ 0
4:	4 − arg1P ≤ 0 ∧ − arg4P ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ − arg4 ≤ 0 ∧ − x40 ≤ 0 ∧ − x41 ≤ 0
5:	4 − arg1P ≤ 0 ∧ 3 − arg3P ≤ 0 ∧ − arg4P ≤ 0 ∧ − arg9P ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 3 − arg3 ≤ 0 ∧ − arg4 ≤ 0 ∧ − arg9 ≤ 0 ∧ − x40 ≤ 0 ∧ − x41 ≤ 0
6:	4 − arg1P ≤ 0 ∧ 1 − arg2P ≤ 0 ∧ 1 − arg3P ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 1 − arg2 ≤ 0 ∧ 1 − arg3 ≤ 0 ∧ − x40 ≤ 0 ∧ − x41 ≤ 0
7:	4 − arg1P ≤ 0 ∧ 1 − arg2P ≤ 0 ∧ − arg4P ≤ 0 ∧ 1 − arg5P ≤ 0 ∧ 1 − arg6P ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 1 − arg2 ≤ 0 ∧ − arg4 ≤ 0 ∧ 1 − arg5 ≤ 0 ∧ 1 − arg6 ≤ 0 ∧ − x40 ≤ 0 ∧ − x41 ≤ 0
8:	TRUE

The invariants are proved as follows.

IMPACT Invariant Proof

nodes (location) invariant:

0	(0)	TRUE
1	(1)	1 − arg1P ≤ 0 ∧ 1 − arg1 ≤ 0 ∧ − x5 ≤ 0
3	(3)	1 − arg1P ≤ 0 ∧ 1 − arg1 ≤ 0
4	(4)	4 − arg1P ≤ 0 ∧ − arg4P ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ − arg4 ≤ 0 ∧ − x40 ≤ 0 ∧ − x41 ≤ 0
5	(5)	4 − arg1P ≤ 0 ∧ 3 − arg3P ≤ 0 ∧ − arg4P ≤ 0 ∧ − arg9P ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 3 − arg3 ≤ 0 ∧ − arg4 ≤ 0 ∧ − arg9 ≤ 0 ∧ − x40 ≤ 0 ∧ − x41 ≤ 0
6	(6)	4 − arg1P ≤ 0 ∧ 1 − arg2P ≤ 0 ∧ 1 − arg3P ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 1 − arg2 ≤ 0 ∧ 1 − arg3 ≤ 0 ∧ − x40 ≤ 0 ∧ − x41 ≤ 0
7	(7)	4 − arg1P ≤ 0 ∧ 1 − arg2P ≤ 0 ∧ − arg4P ≤ 0 ∧ 1 − arg5P ≤ 0 ∧ 1 − arg6P ≤ 0 ∧ 4 − arg1 ≤ 0 ∧ 1 − arg2 ≤ 0 ∧ − arg4 ≤ 0 ∧ 1 − arg5 ≤ 0 ∧ 1 − arg6 ≤ 0 ∧ − x40 ≤ 0 ∧ − x41 ≤ 0
8	(8)	TRUE

initial node: 8
cover edges:
transition edges:

0 0 1

0 2 3

3 3 3

3 4 4

4 5 5

4 6 5

4 7 4

4 8 4

4 9 4

4 10 4

4 12 6

4 13 6

5 11 4

6 14 7

6 16 6

7 15 7

7 17 6

8 18 0

2 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:

3	19	3:	− x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg4P + arg4P ≤ 0 ∧ arg4P − arg4P ≤ 0 ∧ − arg4 + arg4 ≤ 0 ∧ arg4 − arg4 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0 ∧ − arg1P + arg1P ≤ 0 ∧ arg1P − arg1P ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg12P + arg12P ≤ 0 ∧ arg12P − arg12P ≤ 0 ∧ − arg12 + arg12 ≤ 0 ∧ arg12 − arg12 ≤ 0 ∧ − arg11P + arg11P ≤ 0 ∧ arg11P − arg11P ≤ 0 ∧ − arg11 + arg11 ≤ 0 ∧ arg11 − arg11 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0 ∧ − arg1 + arg1 ≤ 0 ∧ arg1 − arg1 ≤ 0
4	26	4:	− x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg4P + arg4P ≤ 0 ∧ arg4P − arg4P ≤ 0 ∧ − arg4 + arg4 ≤ 0 ∧ arg4 − arg4 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0 ∧ − arg1P + arg1P ≤ 0 ∧ arg1P − arg1P ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg12P + arg12P ≤ 0 ∧ arg12P − arg12P ≤ 0 ∧ − arg12 + arg12 ≤ 0 ∧ arg12 − arg12 ≤ 0 ∧ − arg11P + arg11P ≤ 0 ∧ arg11P − arg11P ≤ 0 ∧ − arg11 + arg11 ≤ 0 ∧ arg11 − arg11 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0 ∧ − arg1 + arg1 ≤ 0 ∧ arg1 − arg1 ≤ 0
6	33	6:	− x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg4P + arg4P ≤ 0 ∧ arg4P − arg4P ≤ 0 ∧ − arg4 + arg4 ≤ 0 ∧ arg4 − arg4 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0 ∧ − arg1P + arg1P ≤ 0 ∧ arg1P − arg1P ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg12P + arg12P ≤ 0 ∧ arg12P − arg12P ≤ 0 ∧ − arg12 + arg12 ≤ 0 ∧ arg12 − arg12 ≤ 0 ∧ − arg11P + arg11P ≤ 0 ∧ arg11P − arg11P ≤ 0 ∧ − arg11 + arg11 ≤ 0 ∧ arg11 − arg11 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0 ∧ − arg1 + arg1 ≤ 0 ∧ arg1 − arg1 ≤ 0
7	40	7:	− x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg4P + arg4P ≤ 0 ∧ arg4P − arg4P ≤ 0 ∧ − arg4 + arg4 ≤ 0 ∧ arg4 − arg4 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0 ∧ − arg1P + arg1P ≤ 0 ∧ arg1P − arg1P ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg12P + arg12P ≤ 0 ∧ arg12P − arg12P ≤ 0 ∧ − arg12 + arg12 ≤ 0 ∧ arg12 − arg12 ≤ 0 ∧ − arg11P + arg11P ≤ 0 ∧ arg11P − arg11P ≤ 0 ∧ − arg11 + arg11 ≤ 0 ∧ arg11 − arg11 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0 ∧ − arg1 + arg1 ≤ 0 ∧ arg1 − arg1 ≤ 0

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

3 Transition Removal

We remove transitions 0, 2, 4, 12, 13, 18 using the following ranking functions, which are bounded by −23.

8:	0
0:	0
1:	0
3:	0
4:	0
5:	0
6:	0
7:	0
8:	−7
0:	−8
1:	−9
3:	−10
3_var_snapshot:	−10
3*:	−10
4:	−13
5:	−13
4_var_snapshot:	−13
4*:	−13
6:	−16
7:	−16
6_var_snapshot:	−16
6*:	−16
7_var_snapshot:	−16
7*:	−16

4 Location Addition

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

3* 22 3: − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg4P + arg4P ≤ 0 ∧ arg4P − arg4P ≤ 0 ∧ − arg4 + arg4 ≤ 0 ∧ arg4 − arg4 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0 ∧ − arg1P + arg1P ≤ 0 ∧ arg1P − arg1P ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg12P + arg12P ≤ 0 ∧ arg12P − arg12P ≤ 0 ∧ − arg12 + arg12 ≤ 0 ∧ arg12 − arg12 ≤ 0 ∧ − arg11P + arg11P ≤ 0 ∧ arg11P − arg11P ≤ 0 ∧ − arg11 + arg11 ≤ 0 ∧ arg11 − arg11 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0 ∧ − arg1 + arg1 ≤ 0 ∧ arg1 − arg1 ≤ 0

5 Location Addition

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

3 20 3_var_snapshot: − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg4P + arg4P ≤ 0 ∧ arg4P − arg4P ≤ 0 ∧ − arg4 + arg4 ≤ 0 ∧ arg4 − arg4 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0 ∧ − arg1P + arg1P ≤ 0 ∧ arg1P − arg1P ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg12P + arg12P ≤ 0 ∧ arg12P − arg12P ≤ 0 ∧ − arg12 + arg12 ≤ 0 ∧ arg12 − arg12 ≤ 0 ∧ − arg11P + arg11P ≤ 0 ∧ arg11P − arg11P ≤ 0 ∧ − arg11 + arg11 ≤ 0 ∧ arg11 − arg11 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0 ∧ − arg1 + arg1 ≤ 0 ∧ arg1 − arg1 ≤ 0

6 Location Addition

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

4* 29 4: − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg4P + arg4P ≤ 0 ∧ arg4P − arg4P ≤ 0 ∧ − arg4 + arg4 ≤ 0 ∧ arg4 − arg4 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0 ∧ − arg1P + arg1P ≤ 0 ∧ arg1P − arg1P ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg12P + arg12P ≤ 0 ∧ arg12P − arg12P ≤ 0 ∧ − arg12 + arg12 ≤ 0 ∧ arg12 − arg12 ≤ 0 ∧ − arg11P + arg11P ≤ 0 ∧ arg11P − arg11P ≤ 0 ∧ − arg11 + arg11 ≤ 0 ∧ arg11 − arg11 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0 ∧ − arg1 + arg1 ≤ 0 ∧ arg1 − arg1 ≤ 0

7 Location Addition

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

4 27 4_var_snapshot: − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg4P + arg4P ≤ 0 ∧ arg4P − arg4P ≤ 0 ∧ − arg4 + arg4 ≤ 0 ∧ arg4 − arg4 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0 ∧ − arg1P + arg1P ≤ 0 ∧ arg1P − arg1P ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg12P + arg12P ≤ 0 ∧ arg12P − arg12P ≤ 0 ∧ − arg12 + arg12 ≤ 0 ∧ arg12 − arg12 ≤ 0 ∧ − arg11P + arg11P ≤ 0 ∧ arg11P − arg11P ≤ 0 ∧ − arg11 + arg11 ≤ 0 ∧ arg11 − arg11 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0 ∧ − arg1 + arg1 ≤ 0 ∧ arg1 − arg1 ≤ 0

8 Location Addition

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

6* 36 6: − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg4P + arg4P ≤ 0 ∧ arg4P − arg4P ≤ 0 ∧ − arg4 + arg4 ≤ 0 ∧ arg4 − arg4 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0 ∧ − arg1P + arg1P ≤ 0 ∧ arg1P − arg1P ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg12P + arg12P ≤ 0 ∧ arg12P − arg12P ≤ 0 ∧ − arg12 + arg12 ≤ 0 ∧ arg12 − arg12 ≤ 0 ∧ − arg11P + arg11P ≤ 0 ∧ arg11P − arg11P ≤ 0 ∧ − arg11 + arg11 ≤ 0 ∧ arg11 − arg11 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0 ∧ − arg1 + arg1 ≤ 0 ∧ arg1 − arg1 ≤ 0

9 Location Addition

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

6 34 6_var_snapshot: − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg4P + arg4P ≤ 0 ∧ arg4P − arg4P ≤ 0 ∧ − arg4 + arg4 ≤ 0 ∧ arg4 − arg4 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0 ∧ − arg1P + arg1P ≤ 0 ∧ arg1P − arg1P ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg12P + arg12P ≤ 0 ∧ arg12P − arg12P ≤ 0 ∧ − arg12 + arg12 ≤ 0 ∧ arg12 − arg12 ≤ 0 ∧ − arg11P + arg11P ≤ 0 ∧ arg11P − arg11P ≤ 0 ∧ − arg11 + arg11 ≤ 0 ∧ arg11 − arg11 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0 ∧ − arg1 + arg1 ≤ 0 ∧ arg1 − arg1 ≤ 0

10 Location Addition

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

7* 43 7: − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg4P + arg4P ≤ 0 ∧ arg4P − arg4P ≤ 0 ∧ − arg4 + arg4 ≤ 0 ∧ arg4 − arg4 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0 ∧ − arg1P + arg1P ≤ 0 ∧ arg1P − arg1P ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg12P + arg12P ≤ 0 ∧ arg12P − arg12P ≤ 0 ∧ − arg12 + arg12 ≤ 0 ∧ arg12 − arg12 ≤ 0 ∧ − arg11P + arg11P ≤ 0 ∧ arg11P − arg11P ≤ 0 ∧ − arg11 + arg11 ≤ 0 ∧ arg11 − arg11 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0 ∧ − arg1 + arg1 ≤ 0 ∧ arg1 − arg1 ≤ 0

11 Location Addition

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

7 41 7_var_snapshot: − x79 + x79 ≤ 0 ∧ x79 − x79 ≤ 0 ∧ − x5 + x5 ≤ 0 ∧ x5 − x5 ≤ 0 ∧ − x41 + x41 ≤ 0 ∧ x41 − x41 ≤ 0 ∧ − x40 + x40 ≤ 0 ∧ x40 − x40 ≤ 0 ∧ − x28 + x28 ≤ 0 ∧ x28 − x28 ≤ 0 ∧ − x27 + x27 ≤ 0 ∧ x27 − x27 ≤ 0 ∧ − x212 + x212 ≤ 0 ∧ x212 − x212 ≤ 0 ∧ − arg9P + arg9P ≤ 0 ∧ arg9P − arg9P ≤ 0 ∧ − arg9 + arg9 ≤ 0 ∧ arg9 − arg9 ≤ 0 ∧ − arg8P + arg8P ≤ 0 ∧ arg8P − arg8P ≤ 0 ∧ − arg8 + arg8 ≤ 0 ∧ arg8 − arg8 ≤ 0 ∧ − arg7P + arg7P ≤ 0 ∧ arg7P − arg7P ≤ 0 ∧ − arg7 + arg7 ≤ 0 ∧ arg7 − arg7 ≤ 0 ∧ − arg6P + arg6P ≤ 0 ∧ arg6P − arg6P ≤ 0 ∧ − arg6 + arg6 ≤ 0 ∧ arg6 − arg6 ≤ 0 ∧ − arg5P + arg5P ≤ 0 ∧ arg5P − arg5P ≤ 0 ∧ − arg5 + arg5 ≤ 0 ∧ arg5 − arg5 ≤ 0 ∧ − arg4P + arg4P ≤ 0 ∧ arg4P − arg4P ≤ 0 ∧ − arg4 + arg4 ≤ 0 ∧ arg4 − arg4 ≤ 0 ∧ − arg3P + arg3P ≤ 0 ∧ arg3P − arg3P ≤ 0 ∧ − arg3 + arg3 ≤ 0 ∧ arg3 − arg3 ≤ 0 ∧ − arg2P + arg2P ≤ 0 ∧ arg2P − arg2P ≤ 0 ∧ − arg2 + arg2 ≤ 0 ∧ arg2 − arg2 ≤ 0 ∧ − arg1P + arg1P ≤ 0 ∧ arg1P − arg1P ≤ 0 ∧ − arg13P + arg13P ≤ 0 ∧ arg13P − arg13P ≤ 0 ∧ − arg13 + arg13 ≤ 0 ∧ arg13 − arg13 ≤ 0 ∧ − arg12P + arg12P ≤ 0 ∧ arg12P − arg12P ≤ 0 ∧ − arg12 + arg12 ≤ 0 ∧ arg12 − arg12 ≤ 0 ∧ − arg11P + arg11P ≤ 0 ∧ arg11P − arg11P ≤ 0 ∧ − arg11 + arg11 ≤ 0 ∧ arg11 − arg11 ≤ 0 ∧ − arg10P + arg10P ≤ 0 ∧ arg10P − arg10P ≤ 0 ∧ − arg10 + arg10 ≤ 0 ∧ arg10 − arg10 ≤ 0 ∧ − arg1 + arg1 ≤ 0 ∧ arg1 − arg1 ≤ 0

12 SCC Decomposition

We consider subproblems for each of the 3 SCC(s) of the program graph.

12.1 SCC Subproblem 1/3

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

12.1.1 Transition Removal

We remove transitions 14, 16 using the following ranking functions, which are bounded by 7.

6:	2 − 7⋅arg4 + 7⋅arg8
7:	7⋅arg10 − 7⋅arg3
6_var_snapshot:	1 − 7⋅arg4 + 7⋅arg8
6*:	3 − 7⋅arg4 + 7⋅arg8
7_var_snapshot:	7⋅arg10 − 7⋅arg3
7*:	7⋅arg10 − 7⋅arg3

12.1.2 Transition Removal

We remove transitions 34, 41, 43, 15, 17 using the following ranking functions, which are bounded by −3.

6:	−2
7:	1 + 3⋅arg4
6_var_snapshot:	−3⋅arg3P
6*:	−1
7_var_snapshot:	3⋅arg4
7*:	2 + 3⋅arg4

12.1.3 Transition Removal

We remove transition 36 using the following ranking functions, which are bounded by 0.

6:	0
7:	0
6_var_snapshot:	0
6*:	arg2P
7_var_snapshot:	0
7*:	0

12.1.4 Splitting Cut-Point Transitions

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

12.1.4.1 Cut-Point Subproblem 1/2

Here we consider cut-point transition 33.

12.1.4.1.1 Splitting Cut-Point Transitions

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

12.1.4.2 Cut-Point Subproblem 2/2

Here we consider cut-point transition 40.

12.1.4.2.1 Splitting Cut-Point Transitions

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

12.2 SCC Subproblem 2/3

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

12.2.1 Transition Removal

We remove transitions 27, 29, 5, 6, 7, 8, 9, 10, 11 using the following ranking functions, which are bounded by −3.

4:	−1 + 3⋅arg4
5:	−3 + 3⋅arg3
4_var_snapshot:	−2 + 3⋅arg4
4*:	3⋅arg4

12.2.2 Splitting Cut-Point Transitions

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

12.2.2.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 26.

12.2.2.1.1 Splitting Cut-Point Transitions

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

12.3 SCC Subproblem 3/3

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

12.3.1 Transition Removal

We remove transition 3 using the following ranking functions, which are bounded by 2.

3:	arg2 + arg3 − arg4
3_var_snapshot:	arg2 + arg3 − arg4
3*:	1 + arg2 + arg3 − arg4

12.3.2 Transition Removal

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

3:	0
3_var_snapshot:	− arg1P
3*:	arg1P

12.3.3 Transition Removal

We remove transition 20 using the following ranking functions, which are bounded by 0.

3:	1
3_var_snapshot:	0
3*:	0

12.3.4 Splitting Cut-Point Transitions

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

12.3.4.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 19.

12.3.4.1.1 Splitting Cut-Point Transitions

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

Tool configuration

T2Cert

version: 1.0

0	0 1
0	2 3
3	3 3
3	4 4
4	5 5
4	6 5
4	7 4
4	8 4
4	9 4
4	10 4
4	12 6
4	13 6
5	11 4
6	14 7
6	16 6
7	15 7
7	17 6
8	18 0