LTS Termination Proof

Input

Integer Transition System

Initial Location: f1015_0_createList_LE, f593_0_createList_Load, f340_0_createList_Load, f1050_0_getFirst_NE, f1_0_main_Load, f352_0_createList_Return, __init

Transitions: (pre-variables and post-variables)

f340_0_createList_Load	1	f593_0_createList_Load:	x1 = _arg1 ∧ x2 = _arg2 ∧ x3 = _arg3 ∧ x4 = _arg4 ∧ x5 = _arg5 ∧ x6 = _arg6 ∧ x7 = _arg7 ∧ x8 = _arg8 ∧ x9 = _arg9 ∧ x10 = _arg10 ∧ x11 = _arg11 ∧ x12 = _arg12 ∧ x13 = _arg13 ∧ x14 = _arg14 ∧ x15 = _arg15 ∧ x16 = _arg16 ∧ x17 = _arg17 ∧ x18 = _arg18 ∧ x19 = _arg19 ∧ x20 = _arg20 ∧ x21 = _arg21 ∧ x22 = _arg22 ∧ x23 = _arg23 ∧ x24 = _arg24 ∧ x25 = _arg25 ∧ x1 = _arg1P ∧ x2 = _arg2P ∧ x3 = _arg3P ∧ x4 = _arg4P ∧ x5 = _arg5P ∧ x6 = _arg6P ∧ x7 = _arg7P ∧ x8 = _arg8P ∧ x9 = _arg9P ∧ x10 = _arg10P ∧ x11 = _arg11P ∧ x12 = _arg12P ∧ x13 = _arg13P ∧ x14 = _arg14P ∧ x15 = _arg15P ∧ x16 = _arg16P ∧ x17 = _arg17P ∧ x18 = _arg18P ∧ x19 = _arg19P ∧ x20 = _arg20P ∧ x21 = _arg21P ∧ x22 = _arg22P ∧ x23 = _arg23P ∧ x24 = _arg24P ∧ x25 = _arg25P ∧ _arg7 = _arg23P ∧ _arg6 = _arg20P ∧ _arg5 = _arg19P ∧ _arg4 = _arg17P ∧ _arg3 = _arg16P ∧ _arg3 = _arg15P ∧ 0 = _arg10P ∧ 0 = _arg9P ∧ 0 = _arg8P ∧ _arg6P = _arg7P ∧ _arg4 = _arg5P ∧ 0 = _arg4P ∧ 0 = _arg3P ∧ _arg1 = _arg1P ∧ _arg7 + 3 ≤ _arg2 ∧ _arg6 + 5 ≤ _arg2 ∧ 9 ≤ _arg2P − 1 ∧ 9 ≤ _arg2 − 1
f1_0_main_Load	2	f1050_0_getFirst_NE:	x1 = _x ∧ x2 = _x1 ∧ x3 = _x2 ∧ x4 = _x3 ∧ x5 = _x4 ∧ x6 = _x5 ∧ x7 = _x6 ∧ x8 = _x7 ∧ x9 = _x8 ∧ x10 = _x9 ∧ x11 = _x10 ∧ x12 = _x11 ∧ x13 = _x12 ∧ x14 = _x13 ∧ x15 = _x14 ∧ x16 = _x15 ∧ x17 = _x16 ∧ x18 = _x17 ∧ x19 = _x18 ∧ x20 = _x19 ∧ x21 = _x20 ∧ x22 = _x21 ∧ x23 = _x22 ∧ x24 = _x23 ∧ x25 = _x24 ∧ x1 = _x26 ∧ x2 = _x27 ∧ x3 = _x28 ∧ x4 = _x29 ∧ x5 = _x30 ∧ x6 = _x31 ∧ x7 = _x32 ∧ x8 = _x33 ∧ x9 = _x34 ∧ x10 = _x35 ∧ x11 = _x36 ∧ x12 = _x37 ∧ x13 = _x38 ∧ x14 = _x39 ∧ x15 = _x40 ∧ x16 = _x41 ∧ x17 = _x42 ∧ x18 = _x43 ∧ x19 = _x44 ∧ x20 = _x45 ∧ x21 = _x46 ∧ x22 = _x50 ∧ x23 = _x51 ∧ x24 = _x52 ∧ x25 = _x53 ∧ −1 ≤ _x54 − 1 ∧ 0 ≤ _x1 − 1 ∧ 0 ≤ _x − 1 ∧ 6 ≤ _x26 − 1
f352_0_createList_Return	3	f1050_0_getFirst_NE:	x1 = _x55 ∧ x2 = _x56 ∧ x3 = _x57 ∧ x4 = _x58 ∧ x5 = _x59 ∧ x6 = _x60 ∧ x7 = _x64 ∧ x8 = _x65 ∧ x9 = _x66 ∧ x10 = _x67 ∧ x11 = _x68 ∧ x12 = _x69 ∧ x13 = _x70 ∧ x14 = _x71 ∧ x15 = _x72 ∧ x16 = _x73 ∧ x17 = _x74 ∧ x18 = _x75 ∧ x19 = _x76 ∧ x20 = _x77 ∧ x21 = _x78 ∧ x22 = _x79 ∧ x23 = _x80 ∧ x24 = _x81 ∧ x25 = _x82 ∧ x1 = _x83 ∧ x2 = _x84 ∧ x3 = _x85 ∧ x4 = _x86 ∧ x5 = _x87 ∧ x6 = _x88 ∧ x7 = _x89 ∧ x8 = _x90 ∧ x9 = _x91 ∧ x10 = _x92 ∧ x11 = _x93 ∧ x12 = _x94 ∧ x13 = _x95 ∧ x14 = _x96 ∧ x15 = _x97 ∧ x16 = _x99 ∧ x17 = _x100 ∧ x18 = _x101 ∧ x19 = _x102 ∧ x20 = _x103 ∧ x21 = _x104 ∧ x22 = _x105 ∧ x23 = _x106 ∧ x24 = _x107 ∧ x25 = _x108 ∧ _x64 = _x89 ∧ _x58 = _x86 ∧ _x57 = _x85 ∧ _x56 = _x84 ∧ _x60 + 7 ≤ _x55 ∧ _x64 + 3 ≤ _x55 ∧ _x59 + 7 ≤ _x55 ∧ _x58 + 5 ≤ _x55 ∧ 6 ≤ _x83 − 1 ∧ 6 ≤ _x55 − 1
f1050_0_getFirst_NE	4	f1097_0_getFirst_FieldAccess:	x1 = _x109 ∧ x2 = _x110 ∧ x3 = _x111 ∧ x4 = _x112 ∧ x5 = _x113 ∧ x6 = _x114 ∧ x7 = _x115 ∧ x8 = _x116 ∧ x9 = _x117 ∧ x10 = _x118 ∧ x11 = _x119 ∧ x12 = _x120 ∧ x13 = _x121 ∧ x14 = _x122 ∧ x15 = _x123 ∧ x16 = _x124 ∧ x17 = _x125 ∧ x18 = _x126 ∧ x19 = _x127 ∧ x20 = _x128 ∧ x21 = _x129 ∧ x22 = _x130 ∧ x23 = _x131 ∧ x24 = _x132 ∧ x25 = _x133 ∧ x1 = _x134 ∧ x2 = _x135 ∧ x3 = _x136 ∧ x4 = _x137 ∧ x5 = _x138 ∧ x6 = _x141 ∧ x7 = _x142 ∧ x8 = _x143 ∧ x9 = _x144 ∧ x10 = _x145 ∧ x11 = _x146 ∧ x12 = _x147 ∧ x13 = _x148 ∧ x14 = _x149 ∧ x15 = _x150 ∧ x16 = _x151 ∧ x17 = _x152 ∧ x18 = _x153 ∧ x19 = _x154 ∧ x20 = _x155 ∧ x21 = _x156 ∧ x22 = _x157 ∧ x23 = _x158 ∧ x24 = _x159 ∧ x25 = _x160 ∧ −1 ≤ _x110 − 1 ∧ 0 ≤ _x161 − 1 ∧ _x161 ≤ _x110 − 1 ∧ _x162 ≤ _x111 − 1 ∧ −1 ≤ _x111 − 1 ∧ 0 ≤ _x112 − 1 ∧ _x161 ≤ _x163 − 1 ∧ 0 ≤ _x162 − 1 ∧ _x135 ≤ _x163 − 1 ∧ −1 ≤ _x163 − 1 ∧ _x134 + 6 ≤ _x109 ∧ 6 ≤ _x109 − 1 ∧ 0 ≤ _x134 − 1 ∧ _x112 + 5 ≤ _x109 ∧ _x113 + 7 ≤ _x109 ∧ _x115 + 3 ≤ _x109 ∧ _x114 + 7 ≤ _x109
f1050_0_getFirst_NE	5	f1097_0_getFirst_FieldAccess:	x1 = _x164 ∧ x2 = _x165 ∧ x3 = _x166 ∧ x4 = _x167 ∧ x5 = _x168 ∧ x6 = _x169 ∧ x7 = _x170 ∧ x8 = _x171 ∧ x9 = _x172 ∧ x10 = _x173 ∧ x11 = _x174 ∧ x12 = _x176 ∧ x13 = _x177 ∧ x14 = _x178 ∧ x15 = _x179 ∧ x16 = _x180 ∧ x17 = _x181 ∧ x18 = _x182 ∧ x19 = _x183 ∧ x20 = _x184 ∧ x21 = _x185 ∧ x22 = _x186 ∧ x23 = _x187 ∧ x24 = _x188 ∧ x25 = _x189 ∧ x1 = _x190 ∧ x2 = _x191 ∧ x3 = _x192 ∧ x4 = _x193 ∧ x5 = _x194 ∧ x6 = _x195 ∧ x7 = _x196 ∧ x8 = _x197 ∧ x9 = _x198 ∧ x10 = _x199 ∧ x11 = _x200 ∧ x12 = _x201 ∧ x13 = _x202 ∧ x14 = _x203 ∧ x15 = _x204 ∧ x16 = _x205 ∧ x17 = _x206 ∧ x18 = _x207 ∧ x19 = _x208 ∧ x20 = _x209 ∧ x21 = _x210 ∧ x22 = _x211 ∧ x23 = _x212 ∧ x24 = _x213 ∧ x25 = _x214 ∧ −1 ≤ _x165 − 1 ∧ 0 ≤ _x215 − 1 ∧ _x215 ≤ _x165 − 1 ∧ _x216 ≤ _x166 − 1 ∧ −1 ≤ _x166 − 1 ∧ 0 ≤ _x167 − 1 ∧ _x215 ≤ _x217 − 1 ∧ _x191 ≤ _x217 − 1 ∧ −1 ≤ _x217 − 1 ∧ _x190 + 6 ≤ _x164 ∧ 6 ≤ _x164 − 1 ∧ 0 ≤ _x190 − 1 ∧ _x167 + 5 ≤ _x164 ∧ _x168 + 7 ≤ _x164 ∧ _x170 + 3 ≤ _x164 ∧ _x169 + 7 ≤ _x164
f1_0_main_Load	6	f340_0_createList_Load:	x1 = _x218 ∧ x2 = _x219 ∧ x3 = _x220 ∧ x4 = _x221 ∧ x5 = _x222 ∧ x6 = _x223 ∧ x7 = _x224 ∧ x8 = _x225 ∧ x9 = _x226 ∧ x10 = _x227 ∧ x11 = _x228 ∧ x12 = _x229 ∧ x13 = _x230 ∧ x14 = _x231 ∧ x15 = _x232 ∧ x16 = _x233 ∧ x17 = _x234 ∧ x18 = _x235 ∧ x19 = _x236 ∧ x20 = _x237 ∧ x21 = _x238 ∧ x22 = _x239 ∧ x23 = _x240 ∧ x24 = _x241 ∧ x25 = _x242 ∧ x1 = _x243 ∧ x2 = _x244 ∧ x3 = _x245 ∧ x4 = _x246 ∧ x5 = _x247 ∧ x6 = _x248 ∧ x7 = _x249 ∧ x8 = _x250 ∧ x9 = _x251 ∧ x10 = _x252 ∧ x11 = _x253 ∧ x12 = _x254 ∧ x13 = _x255 ∧ x14 = _x256 ∧ x15 = _x257 ∧ x16 = _x258 ∧ x17 = _x259 ∧ x18 = _x260 ∧ x19 = _x261 ∧ x20 = _x262 ∧ x21 = _x263 ∧ x22 = _x264 ∧ x23 = _x265 ∧ x24 = _x266 ∧ x25 = _x267 ∧ 0 = _x249 ∧ 0 = _x248 ∧ 1 = _x247 ∧ 7 ≤ _x244 − 1 ∧ 0 ≤ _x218 − 1 ∧ _x244 − 7 ≤ _x218 ∧ 0 ≤ _x219 − 1 ∧ −1 ≤ _x243 − 1
f593_0_createList_Load	7	f1015_0_createList_LE:	x1 = _x268 ∧ x2 = _x269 ∧ x3 = _x270 ∧ x4 = _x271 ∧ x5 = _x272 ∧ x6 = _x273 ∧ x7 = _x274 ∧ x8 = _x275 ∧ x9 = _x276 ∧ x10 = _x277 ∧ x11 = _x278 ∧ x12 = _x279 ∧ x13 = _x280 ∧ x14 = _x281 ∧ x15 = _x282 ∧ x16 = _x283 ∧ x17 = _x284 ∧ x18 = _x285 ∧ x19 = _x286 ∧ x20 = _x287 ∧ x21 = _x288 ∧ x22 = _x289 ∧ x23 = _x290 ∧ x24 = _x291 ∧ x25 = _x292 ∧ x1 = _x293 ∧ x2 = _x294 ∧ x3 = _x295 ∧ x4 = _x296 ∧ x5 = _x297 ∧ x6 = _x298 ∧ x7 = _x299 ∧ x8 = _x300 ∧ x9 = _x301 ∧ x10 = _x302 ∧ x11 = _x303 ∧ x12 = _x304 ∧ x13 = _x305 ∧ x14 = _x306 ∧ x15 = _x307 ∧ x16 = _x308 ∧ x17 = _x309 ∧ x18 = _x310 ∧ x19 = _x311 ∧ x20 = _x312 ∧ x21 = _x313 ∧ x22 = _x314 ∧ x23 = _x315 ∧ x24 = _x316 ∧ x25 = _x317 ∧ _x290 = _x317 ∧ _x287 = _x313 ∧ _x286 = _x312 ∧ _x284 = _x311 ∧ _x283 = _x310 ∧ _x282 = _x309 ∧ _x277 = _x308 ∧ _x276 = _x307 ∧ _x275 = _x306 ∧ _x271 = _x305 ∧ 0 = _x304 ∧ _x272 = _x303 ∧ _x281 = _x302 ∧ _x270 = _x301 ∧ _x273 = _x299 ∧ _x279 = _x298 ∧ _x274 = _x297 ∧ _x278 = _x296 ∧ _x280 = _x295 ∧ _x268 = _x294 ∧ _x289 + 9 ≤ _x269 ∧ _x290 + 3 ≤ _x269 ∧ _x288 + 9 ≤ _x269 ∧ _x287 + 5 ≤ _x269 ∧ 11 ≤ _x293 − 1 ∧ 11 ≤ _x269 − 1
f1015_0_createList_LE	8	f1015_0_createList_LE:	x1 = _x318 ∧ x2 = _x319 ∧ x3 = _x320 ∧ x4 = _x321 ∧ x5 = _x322 ∧ x6 = _x323 ∧ x7 = _x324 ∧ x8 = _x325 ∧ x9 = _x326 ∧ x10 = _x327 ∧ x11 = _x328 ∧ x12 = _x329 ∧ x13 = _x330 ∧ x14 = _x331 ∧ x15 = _x332 ∧ x16 = _x333 ∧ x17 = _x334 ∧ x18 = _x335 ∧ x19 = _x336 ∧ x20 = _x337 ∧ x21 = _x338 ∧ x22 = _x339 ∧ x23 = _x340 ∧ x24 = _x341 ∧ x25 = _x342 ∧ x1 = _x343 ∧ x2 = _x344 ∧ x3 = _x345 ∧ x4 = _x346 ∧ x5 = _x347 ∧ x6 = _x348 ∧ x7 = _x349 ∧ x8 = _x350 ∧ x9 = _x351 ∧ x10 = _x352 ∧ x11 = _x353 ∧ x12 = _x354 ∧ x13 = _x355 ∧ x14 = _x356 ∧ x15 = _x357 ∧ x16 = _x358 ∧ x17 = _x359 ∧ x18 = _x360 ∧ x19 = _x361 ∧ x20 = _x362 ∧ x21 = _x363 ∧ x22 = _x364 ∧ x23 = _x365 ∧ x24 = _x366 ∧ x25 = _x367 ∧ 0 ≤ _x319 − 1 ∧ −1 ≤ _x368 − 1 ∧ 0 ≤ _x323 − 1 ∧ 0 ≤ _x320 − 1 ∧ −1 ≤ _x337 − 1 ∧ _x337 ≤ _x368 − 1 ∧ 0 ≤ _x327 − 1 ∧ 0 ≤ _x321 − 1 ∧ 0 ≤ _x330 − 1 ∧ 0 ≤ _x328 − 1 ∧ 0 ≤ _x329 − 1 ∧ −1 ≤ _x369 − 1 ∧ 0 ≤ _x326 − 1 ∧ 0 ≤ _x322 − 1 ∧ 0 ≤ _x335 − 1 ∧ 0 ≤ _x331 − 1 ∧ 0 ≤ _x336 − 1 ∧ 0 ≤ _x334 − 1 ∧ 0 ≤ _x332 − 1 ∧ 0 ≤ _x333 − 1 ∧ −1 ≤ _x342 − 1 ∧ −1 ≤ _x338 − 1 ∧ 9 ≤ _x318 − 1 ∧ 9 ≤ _x343 − 1 ∧ _x338 + 5 ≤ _x318 ∧ _x339 + 9 ≤ _x318 ∧ _x340 + 9 ≤ _x318 ∧ _x342 + 3 ≤ _x318 ∧ _x341 + 9 ≤ _x318 ∧ _x319 − 1 = _x344 ∧ _x320 = _x345 ∧ _x323 = _x348 ∧ _x324 = _x349 ∧ _x325 = _x350 ∧ _x327 = _x352 ∧ _x329 = _x354 ∧ _x337 + 1 = _x362 ∧ _x338 + 1 = _x363 ∧ _x342 + 1 = _x367
f1015_0_createList_LE	9	f1015_0_createList_LE:	x1 = _x370 ∧ x2 = _x371 ∧ x3 = _x372 ∧ x4 = _x373 ∧ x5 = _x374 ∧ x6 = _x375 ∧ x7 = _x376 ∧ x8 = _x377 ∧ x9 = _x378 ∧ x10 = _x379 ∧ x11 = _x380 ∧ x12 = _x381 ∧ x13 = _x382 ∧ x14 = _x383 ∧ x15 = _x384 ∧ x16 = _x385 ∧ x17 = _x386 ∧ x18 = _x387 ∧ x19 = _x388 ∧ x20 = _x389 ∧ x21 = _x390 ∧ x22 = _x391 ∧ x23 = _x392 ∧ x24 = _x393 ∧ x25 = _x394 ∧ x1 = _x395 ∧ x2 = _x396 ∧ x3 = _x397 ∧ x4 = _x398 ∧ x5 = _x399 ∧ x6 = _x400 ∧ x7 = _x401 ∧ x8 = _x402 ∧ x9 = _x403 ∧ x10 = _x404 ∧ x11 = _x405 ∧ x12 = _x406 ∧ x13 = _x407 ∧ x14 = _x408 ∧ x15 = _x409 ∧ x16 = _x410 ∧ x17 = _x411 ∧ x18 = _x412 ∧ x19 = _x413 ∧ x20 = _x414 ∧ x21 = _x415 ∧ x22 = _x416 ∧ x23 = _x417 ∧ x24 = _x418 ∧ x25 = _x419 ∧ 0 ≤ _x371 − 1 ∧ −1 ≤ _x420 − 1 ∧ 0 ≤ _x375 − 1 ∧ 0 ≤ _x372 − 1 ∧ −1 ≤ _x389 − 1 ∧ _x389 ≤ _x420 − 1 ∧ 0 ≤ _x379 − 1 ∧ 0 ≤ _x381 − 1 ∧ −1 ≤ _x421 − 1 ∧ 0 ≤ _x387 − 1 ∧ 0 ≤ _x388 − 1 ∧ 0 ≤ _x386 − 1 ∧ 0 ≤ _x377 − 1 ∧ −1 ≤ _x394 − 1 ∧ −1 ≤ _x390 − 1 ∧ 11 ≤ _x370 − 1 ∧ 13 ≤ _x395 − 1 ∧ _x390 + 5 ≤ _x370 ∧ _x391 + 9 ≤ _x370 ∧ _x392 + 9 ≤ _x370 ∧ _x394 + 3 ≤ _x370 ∧ _x393 + 9 ≤ _x370 ∧ _x377 = _x378 ∧ _x379 = _x380 ∧ _x381 = _x382 ∧ _x376 = _x385 ∧ _x371 − 1 = _x396 ∧ 0 = _x397 ∧ 1 = _x398 ∧ 1 = _x399 ∧ _x377 = _x402 ∧ _x379 = _x404 ∧ _x381 = _x406 ∧ 0 = _x407 ∧ 2 = _x408 ∧ _x389 + 1 = _x414 ∧ _x390 + 1 = _x415 ∧ _x394 + 1 = _x419
__init	10	f1_0_main_Load:	x1 = _x422 ∧ x2 = _x423 ∧ x3 = _x424 ∧ x4 = _x425 ∧ x5 = _x426 ∧ x6 = _x427 ∧ x7 = _x428 ∧ x8 = _x429 ∧ x9 = _x430 ∧ x10 = _x431 ∧ x11 = _x432 ∧ x12 = _x433 ∧ x13 = _x434 ∧ x14 = _x435 ∧ x15 = _x436 ∧ x16 = _x437 ∧ x17 = _x438 ∧ x18 = _x439 ∧ x19 = _x440 ∧ x20 = _x441 ∧ x21 = _x442 ∧ x22 = _x443 ∧ x23 = _x444 ∧ x24 = _x445 ∧ x25 = _x446 ∧ x1 = _x447 ∧ x2 = _x448 ∧ x3 = _x449 ∧ x4 = _x450 ∧ x5 = _x451 ∧ x6 = _x452 ∧ x7 = _x453 ∧ x8 = _x454 ∧ x9 = _x455 ∧ x10 = _x456 ∧ x11 = _x457 ∧ x12 = _x458 ∧ x13 = _x459 ∧ x14 = _x460 ∧ x15 = _x461 ∧ x16 = _x462 ∧ x17 = _x463 ∧ x18 = _x464 ∧ x19 = _x465 ∧ x20 = _x466 ∧ x21 = _x467 ∧ x22 = _x468 ∧ x23 = _x469 ∧ x24 = _x470 ∧ x25 = _x471 ∧ 0 ≤ 0

Proof

1 Switch to Cooperation Termination Proof

We consider the following cutpoint-transitions:

f1015_0_createList_LE	f1015_0_createList_LE	f1015_0_createList_LE:	x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25
f593_0_createList_Load	f593_0_createList_Load	f593_0_createList_Load:	x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25
f340_0_createList_Load	f340_0_createList_Load	f340_0_createList_Load:	x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25
f1050_0_getFirst_NE	f1050_0_getFirst_NE	f1050_0_getFirst_NE:	x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25
f1_0_main_Load	f1_0_main_Load	f1_0_main_Load:	x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25
f352_0_createList_Return	f352_0_createList_Return	f352_0_createList_Return:	x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25
__init	__init	__init:	x1 = x1 ∧ x2 = x2 ∧ x3 = x3 ∧ x4 = x4 ∧ x5 = x5 ∧ x6 = x6 ∧ x7 = x7 ∧ x8 = x8 ∧ x9 = x9 ∧ x10 = x10 ∧ x11 = x11 ∧ x12 = x12 ∧ x13 = x13 ∧ x14 = x14 ∧ x15 = x15 ∧ x16 = x16 ∧ x17 = x17 ∧ x18 = x18 ∧ x19 = x19 ∧ x20 = x20 ∧ x21 = x21 ∧ x22 = x22 ∧ x23 = x23 ∧ x24 = x24 ∧ x25 = x25

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

2 SCC Decomposition

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

2.1 SCC Subproblem 1/1

Here we consider the SCC { f1015_0_createList_LE }.

2.1.1 Transition Removal

We remove transitions 8, 9 using the following ranking functions, which are bounded by 0.

f1015_0_createList_LE:

2.1.2 Trivial Cooperation Program

There are no more "sharp" transitions in the cooperation program. Hence the cooperation termination is proved.

Tool configuration

AProVE

version: AProVE Commit ID: unknown
strategy: Statistics for single proof: 100.00 % (4 real / 0 unknown / 0 assumptions / 4 total proof steps)