LTS Termination Proof

by T2Cert

Input

Integer Transition System

Proof

1 Invariant Updates

The following invariants are asserted.

1: 1 − arg1P ≤ 01 − arg1 ≤ 0
2: TRUE
3: 1 − arg1P ≤ 0arg5P ≤ 01 − arg1 ≤ 0arg5 ≤ 0
4: 1 − arg1P ≤ 01 − arg2P ≤ 01 − arg1 ≤ 01 − arg2 ≤ 01 − x22 ≤ 02 − x28 ≤ 0
5: 1 − arg1P ≤ 01 − arg2P ≤ 01 − arg1 ≤ 01 − arg2 ≤ 0arg4 ≤ 0arg5 ≤ 01 − arg6 ≤ 01 − x22 ≤ 02 − x28 ≤ 0
6: 1 − arg1P ≤ 01 − arg1 ≤ 01 − x22 ≤ 02 − x28 ≤ 0
7: 1 − arg1P ≤ 01 − arg1 ≤ 01 − x22 ≤ 02 − x28 ≤ 0
8: TRUE

The invariants are proved as follows.

IMPACT Invariant Proof

2 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:
3 40 3: x94 + x94 ≤ 0x94x94 ≤ 0x83 + x83 ≤ 0x83x83 ≤ 0x72 + x72 ≤ 0x72x72 ≤ 0x481 + x481 ≤ 0x481x481 ≤ 0x480 + x480 ≤ 0x480x480 ≤ 0x477 + x477 ≤ 0x477x477 ≤ 0x469 + x469 ≤ 0x469x469 ≤ 0x468 + x468 ≤ 0x468x468 ≤ 0x465 + x465 ≤ 0x465x465 ≤ 0x457 + x457 ≤ 0x457x457 ≤ 0x456 + x456 ≤ 0x456x456 ≤ 0x455 + x455 ≤ 0x455x455 ≤ 0x454 + x454 ≤ 0x454x454 ≤ 0x447 + x447 ≤ 0x447x447 ≤ 0x446 + x446 ≤ 0x446x446 ≤ 0x445 + x445 ≤ 0x445x445 ≤ 0x444 + x444 ≤ 0x444x444 ≤ 0x437 + x437 ≤ 0x437x437 ≤ 0x436 + x436 ≤ 0x436x436 ≤ 0x433 + x433 ≤ 0x433x433 ≤ 0x425 + x425 ≤ 0x425x425 ≤ 0x424 + x424 ≤ 0x424x424 ≤ 0x421 + x421 ≤ 0x421x421 ≤ 0x413 + x413 ≤ 0x413x413 ≤ 0x412 + x412 ≤ 0x412x412 ≤ 0x411 + x411 ≤ 0x411x411 ≤ 0x410 + x410 ≤ 0x410x410 ≤ 0x403 + x403 ≤ 0x403x403 ≤ 0x402 + x402 ≤ 0x402x402 ≤ 0x401 + x401 ≤ 0x401x401 ≤ 0x400 + x400 ≤ 0x400x400 ≤ 0x393 + x393 ≤ 0x393x393 ≤ 0x383 + x383 ≤ 0x383x383 ≤ 0x382 + x382 ≤ 0x382x382 ≤ 0x380 + x380 ≤ 0x380x380 ≤ 0x372 + x372 ≤ 0x372x372 ≤ 0x371 + x371 ≤ 0x371x371 ≤ 0x369 + x369 ≤ 0x369x369 ≤ 0x361 + x361 ≤ 0x361x361 ≤ 0x360 + x360 ≤ 0x360x360 ≤ 0x359 + x359 ≤ 0x359x359 ≤ 0x358 + x358 ≤ 0x358x358 ≤ 0x351 + x351 ≤ 0x351x351 ≤ 0x350 + x350 ≤ 0x350x350 ≤ 0x349 + x349 ≤ 0x349x349 ≤ 0x348 + x348 ≤ 0x348x348 ≤ 0x341 + x341 ≤ 0x341x341 ≤ 0x340 + x340 ≤ 0x340x340 ≤ 0x338 + x338 ≤ 0x338x338 ≤ 0x330 + x330 ≤ 0x330x330 ≤ 0x329 + x329 ≤ 0x329x329 ≤ 0x327 + x327 ≤ 0x327x327 ≤ 0x319 + x319 ≤ 0x319x319 ≤ 0x318 + x318 ≤ 0x318x318 ≤ 0x317 + x317 ≤ 0x317x317 ≤ 0x316 + x316 ≤ 0x316x316 ≤ 0x309 + x309 ≤ 0x309x309 ≤ 0x308 + x308 ≤ 0x308x308 ≤ 0x307 + x307 ≤ 0x307x307 ≤ 0x306 + x306 ≤ 0x306x306 ≤ 0x299 + x299 ≤ 0x299x299 ≤ 0x298 + x298 ≤ 0x298x298 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x288 + x288 ≤ 0x288x288 ≤ 0x287 + x287 ≤ 0x287x287 ≤ 0x285 + x285 ≤ 0x285x285 ≤ 0x28 + x28 ≤ 0x28x28 ≤ 0x277 + x277 ≤ 0x277x277 ≤ 0x276 + x276 ≤ 0x276x276 ≤ 0x275 + x275 ≤ 0x275x275 ≤ 0x274 + x274 ≤ 0x274x274 ≤ 0x267 + x267 ≤ 0x267x267 ≤ 0x266 + x266 ≤ 0x266x266 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x257 + x257 ≤ 0x257x257 ≤ 0x256 + x256 ≤ 0x256x256 ≤ 0x254 + x254 ≤ 0x254x254 ≤ 0x246 + x246 ≤ 0x246x246 ≤ 0x245 + x245 ≤ 0x245x245 ≤ 0x243 + x243 ≤ 0x243x243 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x225 + x225 ≤ 0x225x225 ≤ 0x224 + x224 ≤ 0x224x224 ≤ 0x223 + x223 ≤ 0x223x223 ≤ 0x222 + x222 ≤ 0x222x222 ≤ 0x22 + x22 ≤ 0x22x22 ≤ 0x215 + x215 ≤ 0x215x215 ≤ 0x214 + x214 ≤ 0x214x214 ≤ 0x213 + x213 ≤ 0x213x213 ≤ 0x204 + x204 ≤ 0x204x204 ≤ 0x203 + x203 ≤ 0x203x203 ≤ 0x202 + x202 ≤ 0x202x202 ≤ 0x193 + x193 ≤ 0x193x193 ≤ 0x192 + x192 ≤ 0x192x192 ≤ 0x191 + x191 ≤ 0x191x191 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x182 + x182 ≤ 0x182x182 ≤ 0x181 + x181 ≤ 0x181x181 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x178 + x178 ≤ 0x178x178 ≤ 0x171 + x171 ≤ 0x171x171 ≤ 0x170 + x170 ≤ 0x170x170 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x160 + x160 ≤ 0x160x160 ≤ 0x159 + x159 ≤ 0x159x159 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x149 + x149 ≤ 0x149x149 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x147 + x147 ≤ 0x147x147 ≤ 0x146 + x146 ≤ 0x146x146 ≤ 0x145 + x145 ≤ 0x145x145 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x123 + x123 ≤ 0x123x123 ≤ 0x105 + x105 ≤ 0x105x105 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0
4 47 4: x94 + x94 ≤ 0x94x94 ≤ 0x83 + x83 ≤ 0x83x83 ≤ 0x72 + x72 ≤ 0x72x72 ≤ 0x481 + x481 ≤ 0x481x481 ≤ 0x480 + x480 ≤ 0x480x480 ≤ 0x477 + x477 ≤ 0x477x477 ≤ 0x469 + x469 ≤ 0x469x469 ≤ 0x468 + x468 ≤ 0x468x468 ≤ 0x465 + x465 ≤ 0x465x465 ≤ 0x457 + x457 ≤ 0x457x457 ≤ 0x456 + x456 ≤ 0x456x456 ≤ 0x455 + x455 ≤ 0x455x455 ≤ 0x454 + x454 ≤ 0x454x454 ≤ 0x447 + x447 ≤ 0x447x447 ≤ 0x446 + x446 ≤ 0x446x446 ≤ 0x445 + x445 ≤ 0x445x445 ≤ 0x444 + x444 ≤ 0x444x444 ≤ 0x437 + x437 ≤ 0x437x437 ≤ 0x436 + x436 ≤ 0x436x436 ≤ 0x433 + x433 ≤ 0x433x433 ≤ 0x425 + x425 ≤ 0x425x425 ≤ 0x424 + x424 ≤ 0x424x424 ≤ 0x421 + x421 ≤ 0x421x421 ≤ 0x413 + x413 ≤ 0x413x413 ≤ 0x412 + x412 ≤ 0x412x412 ≤ 0x411 + x411 ≤ 0x411x411 ≤ 0x410 + x410 ≤ 0x410x410 ≤ 0x403 + x403 ≤ 0x403x403 ≤ 0x402 + x402 ≤ 0x402x402 ≤ 0x401 + x401 ≤ 0x401x401 ≤ 0x400 + x400 ≤ 0x400x400 ≤ 0x393 + x393 ≤ 0x393x393 ≤ 0x383 + x383 ≤ 0x383x383 ≤ 0x382 + x382 ≤ 0x382x382 ≤ 0x380 + x380 ≤ 0x380x380 ≤ 0x372 + x372 ≤ 0x372x372 ≤ 0x371 + x371 ≤ 0x371x371 ≤ 0x369 + x369 ≤ 0x369x369 ≤ 0x361 + x361 ≤ 0x361x361 ≤ 0x360 + x360 ≤ 0x360x360 ≤ 0x359 + x359 ≤ 0x359x359 ≤ 0x358 + x358 ≤ 0x358x358 ≤ 0x351 + x351 ≤ 0x351x351 ≤ 0x350 + x350 ≤ 0x350x350 ≤ 0x349 + x349 ≤ 0x349x349 ≤ 0x348 + x348 ≤ 0x348x348 ≤ 0x341 + x341 ≤ 0x341x341 ≤ 0x340 + x340 ≤ 0x340x340 ≤ 0x338 + x338 ≤ 0x338x338 ≤ 0x330 + x330 ≤ 0x330x330 ≤ 0x329 + x329 ≤ 0x329x329 ≤ 0x327 + x327 ≤ 0x327x327 ≤ 0x319 + x319 ≤ 0x319x319 ≤ 0x318 + x318 ≤ 0x318x318 ≤ 0x317 + x317 ≤ 0x317x317 ≤ 0x316 + x316 ≤ 0x316x316 ≤ 0x309 + x309 ≤ 0x309x309 ≤ 0x308 + x308 ≤ 0x308x308 ≤ 0x307 + x307 ≤ 0x307x307 ≤ 0x306 + x306 ≤ 0x306x306 ≤ 0x299 + x299 ≤ 0x299x299 ≤ 0x298 + x298 ≤ 0x298x298 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x288 + x288 ≤ 0x288x288 ≤ 0x287 + x287 ≤ 0x287x287 ≤ 0x285 + x285 ≤ 0x285x285 ≤ 0x28 + x28 ≤ 0x28x28 ≤ 0x277 + x277 ≤ 0x277x277 ≤ 0x276 + x276 ≤ 0x276x276 ≤ 0x275 + x275 ≤ 0x275x275 ≤ 0x274 + x274 ≤ 0x274x274 ≤ 0x267 + x267 ≤ 0x267x267 ≤ 0x266 + x266 ≤ 0x266x266 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x257 + x257 ≤ 0x257x257 ≤ 0x256 + x256 ≤ 0x256x256 ≤ 0x254 + x254 ≤ 0x254x254 ≤ 0x246 + x246 ≤ 0x246x246 ≤ 0x245 + x245 ≤ 0x245x245 ≤ 0x243 + x243 ≤ 0x243x243 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x225 + x225 ≤ 0x225x225 ≤ 0x224 + x224 ≤ 0x224x224 ≤ 0x223 + x223 ≤ 0x223x223 ≤ 0x222 + x222 ≤ 0x222x222 ≤ 0x22 + x22 ≤ 0x22x22 ≤ 0x215 + x215 ≤ 0x215x215 ≤ 0x214 + x214 ≤ 0x214x214 ≤ 0x213 + x213 ≤ 0x213x213 ≤ 0x204 + x204 ≤ 0x204x204 ≤ 0x203 + x203 ≤ 0x203x203 ≤ 0x202 + x202 ≤ 0x202x202 ≤ 0x193 + x193 ≤ 0x193x193 ≤ 0x192 + x192 ≤ 0x192x192 ≤ 0x191 + x191 ≤ 0x191x191 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x182 + x182 ≤ 0x182x182 ≤ 0x181 + x181 ≤ 0x181x181 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x178 + x178 ≤ 0x178x178 ≤ 0x171 + x171 ≤ 0x171x171 ≤ 0x170 + x170 ≤ 0x170x170 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x160 + x160 ≤ 0x160x160 ≤ 0x159 + x159 ≤ 0x159x159 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x149 + x149 ≤ 0x149x149 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x147 + x147 ≤ 0x147x147 ≤ 0x146 + x146 ≤ 0x146x146 ≤ 0x145 + x145 ≤ 0x145x145 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x123 + x123 ≤ 0x123x123 ≤ 0x105 + x105 ≤ 0x105x105 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0
and for every transition t, a duplicate t is considered.

3 Transition Removal

We remove transitions 1, 2, 4, 39 using the following ranking functions, which are bounded by −17.

8: 0
2: 0
1: 0
4: 0
5: 0
6: 0
7: 0
3: 0
8: −6
2: −7
1: −8
4: −9
5: −9
6: −9
7: −9
4_var_snapshot: −9
4*: −9
3: −12
3_var_snapshot: −12
3*: −12

4 Location Addition

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

3* 43 3: x94 + x94 ≤ 0x94x94 ≤ 0x83 + x83 ≤ 0x83x83 ≤ 0x72 + x72 ≤ 0x72x72 ≤ 0x481 + x481 ≤ 0x481x481 ≤ 0x480 + x480 ≤ 0x480x480 ≤ 0x477 + x477 ≤ 0x477x477 ≤ 0x469 + x469 ≤ 0x469x469 ≤ 0x468 + x468 ≤ 0x468x468 ≤ 0x465 + x465 ≤ 0x465x465 ≤ 0x457 + x457 ≤ 0x457x457 ≤ 0x456 + x456 ≤ 0x456x456 ≤ 0x455 + x455 ≤ 0x455x455 ≤ 0x454 + x454 ≤ 0x454x454 ≤ 0x447 + x447 ≤ 0x447x447 ≤ 0x446 + x446 ≤ 0x446x446 ≤ 0x445 + x445 ≤ 0x445x445 ≤ 0x444 + x444 ≤ 0x444x444 ≤ 0x437 + x437 ≤ 0x437x437 ≤ 0x436 + x436 ≤ 0x436x436 ≤ 0x433 + x433 ≤ 0x433x433 ≤ 0x425 + x425 ≤ 0x425x425 ≤ 0x424 + x424 ≤ 0x424x424 ≤ 0x421 + x421 ≤ 0x421x421 ≤ 0x413 + x413 ≤ 0x413x413 ≤ 0x412 + x412 ≤ 0x412x412 ≤ 0x411 + x411 ≤ 0x411x411 ≤ 0x410 + x410 ≤ 0x410x410 ≤ 0x403 + x403 ≤ 0x403x403 ≤ 0x402 + x402 ≤ 0x402x402 ≤ 0x401 + x401 ≤ 0x401x401 ≤ 0x400 + x400 ≤ 0x400x400 ≤ 0x393 + x393 ≤ 0x393x393 ≤ 0x383 + x383 ≤ 0x383x383 ≤ 0x382 + x382 ≤ 0x382x382 ≤ 0x380 + x380 ≤ 0x380x380 ≤ 0x372 + x372 ≤ 0x372x372 ≤ 0x371 + x371 ≤ 0x371x371 ≤ 0x369 + x369 ≤ 0x369x369 ≤ 0x361 + x361 ≤ 0x361x361 ≤ 0x360 + x360 ≤ 0x360x360 ≤ 0x359 + x359 ≤ 0x359x359 ≤ 0x358 + x358 ≤ 0x358x358 ≤ 0x351 + x351 ≤ 0x351x351 ≤ 0x350 + x350 ≤ 0x350x350 ≤ 0x349 + x349 ≤ 0x349x349 ≤ 0x348 + x348 ≤ 0x348x348 ≤ 0x341 + x341 ≤ 0x341x341 ≤ 0x340 + x340 ≤ 0x340x340 ≤ 0x338 + x338 ≤ 0x338x338 ≤ 0x330 + x330 ≤ 0x330x330 ≤ 0x329 + x329 ≤ 0x329x329 ≤ 0x327 + x327 ≤ 0x327x327 ≤ 0x319 + x319 ≤ 0x319x319 ≤ 0x318 + x318 ≤ 0x318x318 ≤ 0x317 + x317 ≤ 0x317x317 ≤ 0x316 + x316 ≤ 0x316x316 ≤ 0x309 + x309 ≤ 0x309x309 ≤ 0x308 + x308 ≤ 0x308x308 ≤ 0x307 + x307 ≤ 0x307x307 ≤ 0x306 + x306 ≤ 0x306x306 ≤ 0x299 + x299 ≤ 0x299x299 ≤ 0x298 + x298 ≤ 0x298x298 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x288 + x288 ≤ 0x288x288 ≤ 0x287 + x287 ≤ 0x287x287 ≤ 0x285 + x285 ≤ 0x285x285 ≤ 0x28 + x28 ≤ 0x28x28 ≤ 0x277 + x277 ≤ 0x277x277 ≤ 0x276 + x276 ≤ 0x276x276 ≤ 0x275 + x275 ≤ 0x275x275 ≤ 0x274 + x274 ≤ 0x274x274 ≤ 0x267 + x267 ≤ 0x267x267 ≤ 0x266 + x266 ≤ 0x266x266 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x257 + x257 ≤ 0x257x257 ≤ 0x256 + x256 ≤ 0x256x256 ≤ 0x254 + x254 ≤ 0x254x254 ≤ 0x246 + x246 ≤ 0x246x246 ≤ 0x245 + x245 ≤ 0x245x245 ≤ 0x243 + x243 ≤ 0x243x243 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x225 + x225 ≤ 0x225x225 ≤ 0x224 + x224 ≤ 0x224x224 ≤ 0x223 + x223 ≤ 0x223x223 ≤ 0x222 + x222 ≤ 0x222x222 ≤ 0x22 + x22 ≤ 0x22x22 ≤ 0x215 + x215 ≤ 0x215x215 ≤ 0x214 + x214 ≤ 0x214x214 ≤ 0x213 + x213 ≤ 0x213x213 ≤ 0x204 + x204 ≤ 0x204x204 ≤ 0x203 + x203 ≤ 0x203x203 ≤ 0x202 + x202 ≤ 0x202x202 ≤ 0x193 + x193 ≤ 0x193x193 ≤ 0x192 + x192 ≤ 0x192x192 ≤ 0x191 + x191 ≤ 0x191x191 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x182 + x182 ≤ 0x182x182 ≤ 0x181 + x181 ≤ 0x181x181 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x178 + x178 ≤ 0x178x178 ≤ 0x171 + x171 ≤ 0x171x171 ≤ 0x170 + x170 ≤ 0x170x170 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x160 + x160 ≤ 0x160x160 ≤ 0x159 + x159 ≤ 0x159x159 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x149 + x149 ≤ 0x149x149 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x147 + x147 ≤ 0x147x147 ≤ 0x146 + x146 ≤ 0x146x146 ≤ 0x145 + x145 ≤ 0x145x145 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x123 + x123 ≤ 0x123x123 ≤ 0x105 + x105 ≤ 0x105x105 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0

5 Location Addition

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

3 41 3_var_snapshot: x94 + x94 ≤ 0x94x94 ≤ 0x83 + x83 ≤ 0x83x83 ≤ 0x72 + x72 ≤ 0x72x72 ≤ 0x481 + x481 ≤ 0x481x481 ≤ 0x480 + x480 ≤ 0x480x480 ≤ 0x477 + x477 ≤ 0x477x477 ≤ 0x469 + x469 ≤ 0x469x469 ≤ 0x468 + x468 ≤ 0x468x468 ≤ 0x465 + x465 ≤ 0x465x465 ≤ 0x457 + x457 ≤ 0x457x457 ≤ 0x456 + x456 ≤ 0x456x456 ≤ 0x455 + x455 ≤ 0x455x455 ≤ 0x454 + x454 ≤ 0x454x454 ≤ 0x447 + x447 ≤ 0x447x447 ≤ 0x446 + x446 ≤ 0x446x446 ≤ 0x445 + x445 ≤ 0x445x445 ≤ 0x444 + x444 ≤ 0x444x444 ≤ 0x437 + x437 ≤ 0x437x437 ≤ 0x436 + x436 ≤ 0x436x436 ≤ 0x433 + x433 ≤ 0x433x433 ≤ 0x425 + x425 ≤ 0x425x425 ≤ 0x424 + x424 ≤ 0x424x424 ≤ 0x421 + x421 ≤ 0x421x421 ≤ 0x413 + x413 ≤ 0x413x413 ≤ 0x412 + x412 ≤ 0x412x412 ≤ 0x411 + x411 ≤ 0x411x411 ≤ 0x410 + x410 ≤ 0x410x410 ≤ 0x403 + x403 ≤ 0x403x403 ≤ 0x402 + x402 ≤ 0x402x402 ≤ 0x401 + x401 ≤ 0x401x401 ≤ 0x400 + x400 ≤ 0x400x400 ≤ 0x393 + x393 ≤ 0x393x393 ≤ 0x383 + x383 ≤ 0x383x383 ≤ 0x382 + x382 ≤ 0x382x382 ≤ 0x380 + x380 ≤ 0x380x380 ≤ 0x372 + x372 ≤ 0x372x372 ≤ 0x371 + x371 ≤ 0x371x371 ≤ 0x369 + x369 ≤ 0x369x369 ≤ 0x361 + x361 ≤ 0x361x361 ≤ 0x360 + x360 ≤ 0x360x360 ≤ 0x359 + x359 ≤ 0x359x359 ≤ 0x358 + x358 ≤ 0x358x358 ≤ 0x351 + x351 ≤ 0x351x351 ≤ 0x350 + x350 ≤ 0x350x350 ≤ 0x349 + x349 ≤ 0x349x349 ≤ 0x348 + x348 ≤ 0x348x348 ≤ 0x341 + x341 ≤ 0x341x341 ≤ 0x340 + x340 ≤ 0x340x340 ≤ 0x338 + x338 ≤ 0x338x338 ≤ 0x330 + x330 ≤ 0x330x330 ≤ 0x329 + x329 ≤ 0x329x329 ≤ 0x327 + x327 ≤ 0x327x327 ≤ 0x319 + x319 ≤ 0x319x319 ≤ 0x318 + x318 ≤ 0x318x318 ≤ 0x317 + x317 ≤ 0x317x317 ≤ 0x316 + x316 ≤ 0x316x316 ≤ 0x309 + x309 ≤ 0x309x309 ≤ 0x308 + x308 ≤ 0x308x308 ≤ 0x307 + x307 ≤ 0x307x307 ≤ 0x306 + x306 ≤ 0x306x306 ≤ 0x299 + x299 ≤ 0x299x299 ≤ 0x298 + x298 ≤ 0x298x298 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x288 + x288 ≤ 0x288x288 ≤ 0x287 + x287 ≤ 0x287x287 ≤ 0x285 + x285 ≤ 0x285x285 ≤ 0x28 + x28 ≤ 0x28x28 ≤ 0x277 + x277 ≤ 0x277x277 ≤ 0x276 + x276 ≤ 0x276x276 ≤ 0x275 + x275 ≤ 0x275x275 ≤ 0x274 + x274 ≤ 0x274x274 ≤ 0x267 + x267 ≤ 0x267x267 ≤ 0x266 + x266 ≤ 0x266x266 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x257 + x257 ≤ 0x257x257 ≤ 0x256 + x256 ≤ 0x256x256 ≤ 0x254 + x254 ≤ 0x254x254 ≤ 0x246 + x246 ≤ 0x246x246 ≤ 0x245 + x245 ≤ 0x245x245 ≤ 0x243 + x243 ≤ 0x243x243 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x225 + x225 ≤ 0x225x225 ≤ 0x224 + x224 ≤ 0x224x224 ≤ 0x223 + x223 ≤ 0x223x223 ≤ 0x222 + x222 ≤ 0x222x222 ≤ 0x22 + x22 ≤ 0x22x22 ≤ 0x215 + x215 ≤ 0x215x215 ≤ 0x214 + x214 ≤ 0x214x214 ≤ 0x213 + x213 ≤ 0x213x213 ≤ 0x204 + x204 ≤ 0x204x204 ≤ 0x203 + x203 ≤ 0x203x203 ≤ 0x202 + x202 ≤ 0x202x202 ≤ 0x193 + x193 ≤ 0x193x193 ≤ 0x192 + x192 ≤ 0x192x192 ≤ 0x191 + x191 ≤ 0x191x191 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x182 + x182 ≤ 0x182x182 ≤ 0x181 + x181 ≤ 0x181x181 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x178 + x178 ≤ 0x178x178 ≤ 0x171 + x171 ≤ 0x171x171 ≤ 0x170 + x170 ≤ 0x170x170 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x160 + x160 ≤ 0x160x160 ≤ 0x159 + x159 ≤ 0x159x159 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x149 + x149 ≤ 0x149x149 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x147 + x147 ≤ 0x147x147 ≤ 0x146 + x146 ≤ 0x146x146 ≤ 0x145 + x145 ≤ 0x145x145 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x123 + x123 ≤ 0x123x123 ≤ 0x105 + x105 ≤ 0x105x105 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0

6 Location Addition

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

4* 50 4: x94 + x94 ≤ 0x94x94 ≤ 0x83 + x83 ≤ 0x83x83 ≤ 0x72 + x72 ≤ 0x72x72 ≤ 0x481 + x481 ≤ 0x481x481 ≤ 0x480 + x480 ≤ 0x480x480 ≤ 0x477 + x477 ≤ 0x477x477 ≤ 0x469 + x469 ≤ 0x469x469 ≤ 0x468 + x468 ≤ 0x468x468 ≤ 0x465 + x465 ≤ 0x465x465 ≤ 0x457 + x457 ≤ 0x457x457 ≤ 0x456 + x456 ≤ 0x456x456 ≤ 0x455 + x455 ≤ 0x455x455 ≤ 0x454 + x454 ≤ 0x454x454 ≤ 0x447 + x447 ≤ 0x447x447 ≤ 0x446 + x446 ≤ 0x446x446 ≤ 0x445 + x445 ≤ 0x445x445 ≤ 0x444 + x444 ≤ 0x444x444 ≤ 0x437 + x437 ≤ 0x437x437 ≤ 0x436 + x436 ≤ 0x436x436 ≤ 0x433 + x433 ≤ 0x433x433 ≤ 0x425 + x425 ≤ 0x425x425 ≤ 0x424 + x424 ≤ 0x424x424 ≤ 0x421 + x421 ≤ 0x421x421 ≤ 0x413 + x413 ≤ 0x413x413 ≤ 0x412 + x412 ≤ 0x412x412 ≤ 0x411 + x411 ≤ 0x411x411 ≤ 0x410 + x410 ≤ 0x410x410 ≤ 0x403 + x403 ≤ 0x403x403 ≤ 0x402 + x402 ≤ 0x402x402 ≤ 0x401 + x401 ≤ 0x401x401 ≤ 0x400 + x400 ≤ 0x400x400 ≤ 0x393 + x393 ≤ 0x393x393 ≤ 0x383 + x383 ≤ 0x383x383 ≤ 0x382 + x382 ≤ 0x382x382 ≤ 0x380 + x380 ≤ 0x380x380 ≤ 0x372 + x372 ≤ 0x372x372 ≤ 0x371 + x371 ≤ 0x371x371 ≤ 0x369 + x369 ≤ 0x369x369 ≤ 0x361 + x361 ≤ 0x361x361 ≤ 0x360 + x360 ≤ 0x360x360 ≤ 0x359 + x359 ≤ 0x359x359 ≤ 0x358 + x358 ≤ 0x358x358 ≤ 0x351 + x351 ≤ 0x351x351 ≤ 0x350 + x350 ≤ 0x350x350 ≤ 0x349 + x349 ≤ 0x349x349 ≤ 0x348 + x348 ≤ 0x348x348 ≤ 0x341 + x341 ≤ 0x341x341 ≤ 0x340 + x340 ≤ 0x340x340 ≤ 0x338 + x338 ≤ 0x338x338 ≤ 0x330 + x330 ≤ 0x330x330 ≤ 0x329 + x329 ≤ 0x329x329 ≤ 0x327 + x327 ≤ 0x327x327 ≤ 0x319 + x319 ≤ 0x319x319 ≤ 0x318 + x318 ≤ 0x318x318 ≤ 0x317 + x317 ≤ 0x317x317 ≤ 0x316 + x316 ≤ 0x316x316 ≤ 0x309 + x309 ≤ 0x309x309 ≤ 0x308 + x308 ≤ 0x308x308 ≤ 0x307 + x307 ≤ 0x307x307 ≤ 0x306 + x306 ≤ 0x306x306 ≤ 0x299 + x299 ≤ 0x299x299 ≤ 0x298 + x298 ≤ 0x298x298 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x288 + x288 ≤ 0x288x288 ≤ 0x287 + x287 ≤ 0x287x287 ≤ 0x285 + x285 ≤ 0x285x285 ≤ 0x28 + x28 ≤ 0x28x28 ≤ 0x277 + x277 ≤ 0x277x277 ≤ 0x276 + x276 ≤ 0x276x276 ≤ 0x275 + x275 ≤ 0x275x275 ≤ 0x274 + x274 ≤ 0x274x274 ≤ 0x267 + x267 ≤ 0x267x267 ≤ 0x266 + x266 ≤ 0x266x266 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x257 + x257 ≤ 0x257x257 ≤ 0x256 + x256 ≤ 0x256x256 ≤ 0x254 + x254 ≤ 0x254x254 ≤ 0x246 + x246 ≤ 0x246x246 ≤ 0x245 + x245 ≤ 0x245x245 ≤ 0x243 + x243 ≤ 0x243x243 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x225 + x225 ≤ 0x225x225 ≤ 0x224 + x224 ≤ 0x224x224 ≤ 0x223 + x223 ≤ 0x223x223 ≤ 0x222 + x222 ≤ 0x222x222 ≤ 0x22 + x22 ≤ 0x22x22 ≤ 0x215 + x215 ≤ 0x215x215 ≤ 0x214 + x214 ≤ 0x214x214 ≤ 0x213 + x213 ≤ 0x213x213 ≤ 0x204 + x204 ≤ 0x204x204 ≤ 0x203 + x203 ≤ 0x203x203 ≤ 0x202 + x202 ≤ 0x202x202 ≤ 0x193 + x193 ≤ 0x193x193 ≤ 0x192 + x192 ≤ 0x192x192 ≤ 0x191 + x191 ≤ 0x191x191 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x182 + x182 ≤ 0x182x182 ≤ 0x181 + x181 ≤ 0x181x181 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x178 + x178 ≤ 0x178x178 ≤ 0x171 + x171 ≤ 0x171x171 ≤ 0x170 + x170 ≤ 0x170x170 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x160 + x160 ≤ 0x160x160 ≤ 0x159 + x159 ≤ 0x159x159 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x149 + x149 ≤ 0x149x149 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x147 + x147 ≤ 0x147x147 ≤ 0x146 + x146 ≤ 0x146x146 ≤ 0x145 + x145 ≤ 0x145x145 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x123 + x123 ≤ 0x123x123 ≤ 0x105 + x105 ≤ 0x105x105 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0

7 Location Addition

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

4 48 4_var_snapshot: x94 + x94 ≤ 0x94x94 ≤ 0x83 + x83 ≤ 0x83x83 ≤ 0x72 + x72 ≤ 0x72x72 ≤ 0x481 + x481 ≤ 0x481x481 ≤ 0x480 + x480 ≤ 0x480x480 ≤ 0x477 + x477 ≤ 0x477x477 ≤ 0x469 + x469 ≤ 0x469x469 ≤ 0x468 + x468 ≤ 0x468x468 ≤ 0x465 + x465 ≤ 0x465x465 ≤ 0x457 + x457 ≤ 0x457x457 ≤ 0x456 + x456 ≤ 0x456x456 ≤ 0x455 + x455 ≤ 0x455x455 ≤ 0x454 + x454 ≤ 0x454x454 ≤ 0x447 + x447 ≤ 0x447x447 ≤ 0x446 + x446 ≤ 0x446x446 ≤ 0x445 + x445 ≤ 0x445x445 ≤ 0x444 + x444 ≤ 0x444x444 ≤ 0x437 + x437 ≤ 0x437x437 ≤ 0x436 + x436 ≤ 0x436x436 ≤ 0x433 + x433 ≤ 0x433x433 ≤ 0x425 + x425 ≤ 0x425x425 ≤ 0x424 + x424 ≤ 0x424x424 ≤ 0x421 + x421 ≤ 0x421x421 ≤ 0x413 + x413 ≤ 0x413x413 ≤ 0x412 + x412 ≤ 0x412x412 ≤ 0x411 + x411 ≤ 0x411x411 ≤ 0x410 + x410 ≤ 0x410x410 ≤ 0x403 + x403 ≤ 0x403x403 ≤ 0x402 + x402 ≤ 0x402x402 ≤ 0x401 + x401 ≤ 0x401x401 ≤ 0x400 + x400 ≤ 0x400x400 ≤ 0x393 + x393 ≤ 0x393x393 ≤ 0x383 + x383 ≤ 0x383x383 ≤ 0x382 + x382 ≤ 0x382x382 ≤ 0x380 + x380 ≤ 0x380x380 ≤ 0x372 + x372 ≤ 0x372x372 ≤ 0x371 + x371 ≤ 0x371x371 ≤ 0x369 + x369 ≤ 0x369x369 ≤ 0x361 + x361 ≤ 0x361x361 ≤ 0x360 + x360 ≤ 0x360x360 ≤ 0x359 + x359 ≤ 0x359x359 ≤ 0x358 + x358 ≤ 0x358x358 ≤ 0x351 + x351 ≤ 0x351x351 ≤ 0x350 + x350 ≤ 0x350x350 ≤ 0x349 + x349 ≤ 0x349x349 ≤ 0x348 + x348 ≤ 0x348x348 ≤ 0x341 + x341 ≤ 0x341x341 ≤ 0x340 + x340 ≤ 0x340x340 ≤ 0x338 + x338 ≤ 0x338x338 ≤ 0x330 + x330 ≤ 0x330x330 ≤ 0x329 + x329 ≤ 0x329x329 ≤ 0x327 + x327 ≤ 0x327x327 ≤ 0x319 + x319 ≤ 0x319x319 ≤ 0x318 + x318 ≤ 0x318x318 ≤ 0x317 + x317 ≤ 0x317x317 ≤ 0x316 + x316 ≤ 0x316x316 ≤ 0x309 + x309 ≤ 0x309x309 ≤ 0x308 + x308 ≤ 0x308x308 ≤ 0x307 + x307 ≤ 0x307x307 ≤ 0x306 + x306 ≤ 0x306x306 ≤ 0x299 + x299 ≤ 0x299x299 ≤ 0x298 + x298 ≤ 0x298x298 ≤ 0x296 + x296 ≤ 0x296x296 ≤ 0x288 + x288 ≤ 0x288x288 ≤ 0x287 + x287 ≤ 0x287x287 ≤ 0x285 + x285 ≤ 0x285x285 ≤ 0x28 + x28 ≤ 0x28x28 ≤ 0x277 + x277 ≤ 0x277x277 ≤ 0x276 + x276 ≤ 0x276x276 ≤ 0x275 + x275 ≤ 0x275x275 ≤ 0x274 + x274 ≤ 0x274x274 ≤ 0x267 + x267 ≤ 0x267x267 ≤ 0x266 + x266 ≤ 0x266x266 ≤ 0x265 + x265 ≤ 0x265x265 ≤ 0x264 + x264 ≤ 0x264x264 ≤ 0x257 + x257 ≤ 0x257x257 ≤ 0x256 + x256 ≤ 0x256x256 ≤ 0x254 + x254 ≤ 0x254x254 ≤ 0x246 + x246 ≤ 0x246x246 ≤ 0x245 + x245 ≤ 0x245x245 ≤ 0x243 + x243 ≤ 0x243x243 ≤ 0x235 + x235 ≤ 0x235x235 ≤ 0x234 + x234 ≤ 0x234x234 ≤ 0x233 + x233 ≤ 0x233x233 ≤ 0x232 + x232 ≤ 0x232x232 ≤ 0x225 + x225 ≤ 0x225x225 ≤ 0x224 + x224 ≤ 0x224x224 ≤ 0x223 + x223 ≤ 0x223x223 ≤ 0x222 + x222 ≤ 0x222x222 ≤ 0x22 + x22 ≤ 0x22x22 ≤ 0x215 + x215 ≤ 0x215x215 ≤ 0x214 + x214 ≤ 0x214x214 ≤ 0x213 + x213 ≤ 0x213x213 ≤ 0x204 + x204 ≤ 0x204x204 ≤ 0x203 + x203 ≤ 0x203x203 ≤ 0x202 + x202 ≤ 0x202x202 ≤ 0x193 + x193 ≤ 0x193x193 ≤ 0x192 + x192 ≤ 0x192x192 ≤ 0x191 + x191 ≤ 0x191x191 ≤ 0x190 + x190 ≤ 0x190x190 ≤ 0x189 + x189 ≤ 0x189x189 ≤ 0x182 + x182 ≤ 0x182x182 ≤ 0x181 + x181 ≤ 0x181x181 ≤ 0x180 + x180 ≤ 0x180x180 ≤ 0x179 + x179 ≤ 0x179x179 ≤ 0x178 + x178 ≤ 0x178x178 ≤ 0x171 + x171 ≤ 0x171x171 ≤ 0x170 + x170 ≤ 0x170x170 ≤ 0x169 + x169 ≤ 0x169x169 ≤ 0x160 + x160 ≤ 0x160x160 ≤ 0x159 + x159 ≤ 0x159x159 ≤ 0x158 + x158 ≤ 0x158x158 ≤ 0x149 + x149 ≤ 0x149x149 ≤ 0x148 + x148 ≤ 0x148x148 ≤ 0x147 + x147 ≤ 0x147x147 ≤ 0x146 + x146 ≤ 0x146x146 ≤ 0x145 + x145 ≤ 0x145x145 ≤ 0x135 + x135 ≤ 0x135x135 ≤ 0x123 + x123 ≤ 0x123x123 ≤ 0x105 + x105 ≤ 0x105x105 ≤ 0arg7P + arg7P ≤ 0arg7Parg7P ≤ 0arg7 + arg7 ≤ 0arg7arg7 ≤ 0arg6P + arg6P ≤ 0arg6Parg6P ≤ 0arg6 + arg6 ≤ 0arg6arg6 ≤ 0arg5P + arg5P ≤ 0arg5Parg5P ≤ 0arg5 + arg5 ≤ 0arg5arg5 ≤ 0arg4P + arg4P ≤ 0arg4Parg4P ≤ 0arg4 + arg4 ≤ 0arg4arg4 ≤ 0arg3P + arg3P ≤ 0arg3Parg3P ≤ 0arg3 + arg3 ≤ 0arg3arg3 ≤ 0arg2P + arg2P ≤ 0arg2Parg2P ≤ 0arg2 + arg2 ≤ 0arg2arg2 ≤ 0arg1P + arg1P ≤ 0arg1Parg1P ≤ 0arg1 + arg1 ≤ 0arg1arg1 ≤ 0

8 SCC Decomposition

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

8.1 SCC Subproblem 1/2

Here we consider the SCC { 4, 5, 6, 7, 4_var_snapshot, 4* }.

8.1.1 Transition Removal

We remove transitions 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 31, 32, 33, 34, 35, 36, 37, 38 using the following ranking functions, which are bounded by 0.

4: 2 − 5⋅arg4 + 4⋅arg5 + arg6
5: −5⋅arg4 + 4⋅arg5 + arg6
6: −1 + 4⋅arg3 − 5⋅arg4 + arg7
7: −1 + 4⋅arg3 − 5⋅arg4 + arg7
4_var_snapshot: 1 − 5⋅arg4 + 4⋅arg5 + arg6
4*: 3 − 5⋅arg4 + 4⋅arg5 + arg6

8.1.2 Transition Removal

We remove transitions 48, 29, 30 using the following ranking functions, which are bounded by −1.

4: 0
5: 0
6: arg1 + x22
7: 2⋅arg1
4_var_snapshot: x28
4*: arg2

8.1.3 Transition Removal

We remove transition 50 using the following ranking functions, which are bounded by 1.

4: 0
5: 0
6: 0
7: 0
4_var_snapshot: 0
4*: x28

8.1.4 Splitting Cut-Point Transitions

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

8.1.4.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 47.

8.1.4.1.1 Splitting Cut-Point Transitions

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

8.2 SCC Subproblem 2/2

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

8.2.1 Transition Removal

We remove transition 3 using the following ranking functions, which are bounded by 1.

3: arg2 + 2⋅arg3 − 2⋅arg4 + arg5
3_var_snapshot: −1 − arg2 + 2⋅arg3 − 2⋅arg4 + arg5
3*: 1 − arg2 + 2⋅arg3 − 2⋅arg4 + arg5

8.2.2 Transition Removal

We remove transitions 41, 43 using the following ranking functions, which are bounded by −2.

3: −1
3_var_snapshot: −2
3*: 0

8.2.3 Splitting Cut-Point Transitions

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

8.2.3.1 Cut-Point Subproblem 1/1

Here we consider cut-point transition 40.

8.2.3.1.1 Splitting Cut-Point Transitions

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

Tool configuration

T2Cert